{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 4\napplicant 2: job 0\napplicant 3: job 1\napplicant 4: job 3\n5 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "0"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 15 job applicants numbered from 0 to 14, and 16 jobs numbered from 0 to 15. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 13.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 15.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 13.\nApplicant 1 is interested in job 14.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 8.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 10.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 15.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 14.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 8.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 15.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 9.\nApplicant 5 is interested in job 12.\nApplicant 5 is interested in job 14.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 7.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 15.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 11.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 10.\nApplicant 8 is interested in job 15.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 2.\nApplicant 9 is interested in job 12.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 11.\nApplicant 9 is interested in job 15.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 14.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 13.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 15.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 8.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 3.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 12.\nApplicant 12 is interested in job 15.\nApplicant 12 is interested in job 13.\nApplicant 12 is interested in job 1.\nApplicant 12 is interested in job 0.\nApplicant 12 is interested in job 5.\nApplicant 12 is interested in job 2.\nApplicant 12 is interested in job 9.\nApplicant 12 is interested in job 14.\nApplicant 12 is interested in job 10.\nApplicant 13 is interested in job 12.\nApplicant 13 is interested in job 3.\nApplicant 13 is interested in job 6.\nApplicant 13 is interested in job 5.\nApplicant 13 is interested in job 15.\nApplicant 13 is interested in job 4.\nApplicant 13 is interested in job 7.\nApplicant 13 is interested in job 9.\nApplicant 13 is interested in job 8.\nApplicant 14 is interested in job 0.\nApplicant 14 is interested in job 15.\nApplicant 14 is interested in job 10.\nApplicant 14 is interested in job 7.\nApplicant 14 is interested in job 12.\nApplicant 14 is interested in job 3.\nApplicant 14 is interested in job 2.\nApplicant 14 is interested in job 8.\nApplicant 14 is interested in job 14.\nApplicant 14 is interested in job 5.\nApplicant 14 is interested in job 13.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 10\napplicant 1: job 11\napplicant 2: job 8\napplicant 3: job 6\napplicant 4: job 0\napplicant 5: job 14\napplicant 6: job 5\napplicant 7: job 7\napplicant 8: job 15\napplicant 9: job 12\napplicant 10: job 3\napplicant 11: job 9\napplicant 12: job 13\napplicant 13: job 4\napplicant 14: job 2\n15 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "1"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 1\napplicant 5: job 3\napplicant 7: job 4\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "2"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 0.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 3\napplicant 2: job 6\napplicant 3: job 4\napplicant 5: job 1\napplicant 6: job 2\napplicant 7: job 0\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "3"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 10 job applicants numbered from 0 to 9, and 11 jobs numbered from 0 to 10. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 10.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 8.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 7.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 10.\nApplicant 8 is interested in job 0.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 7.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 7\napplicant 2: job 5\napplicant 4: job 9\napplicant 5: job 10\napplicant 6: job 6\napplicant 7: job 3\napplicant 8: job 2\napplicant 9: job 0\n9 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "4"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 7.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 4.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 7.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 0.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 0.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 7.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 7\napplicant 1: job 0\napplicant 2: job 5\napplicant 3: job 4\napplicant 4: job 1\napplicant 6: job 6\napplicant 7: job 3\napplicant 8: job 2\n8 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "5"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 2.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 0\napplicant 1: job 3\napplicant 2: job 1\napplicant 3: job 2\napplicant 4: job 5\napplicant 5: job 4\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "6"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 15 job applicants numbered from 0 to 14, and 18 jobs numbered from 0 to 17. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 13.\nApplicant 0 is interested in job 11.\nApplicant 0 is interested in job 12.\nApplicant 0 is interested in job 17.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 15.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 14.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 15.\nApplicant 1 is interested in job 17.\nApplicant 2 is interested in job 15.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 17.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 16.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 9.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 15.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 14.\nApplicant 3 is interested in job 10.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 16.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 14.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 13.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 17.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 14.\nApplicant 7 is interested in job 16.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 4.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 13.\nApplicant 9 is interested in job 14.\nApplicant 9 is interested in job 16.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 4.\nApplicant 11 is interested in job 17.\nApplicant 11 is interested in job 12.\nApplicant 11 is interested in job 3.\nApplicant 11 is interested in job 7.\nApplicant 12 is interested in job 1.\nApplicant 12 is interested in job 2.\nApplicant 12 is interested in job 12.\nApplicant 12 is interested in job 8.\nApplicant 12 is interested in job 11.\nApplicant 12 is interested in job 14.\nApplicant 13 is interested in job 14.\nApplicant 13 is interested in job 6.\nApplicant 13 is interested in job 8.\nApplicant 13 is interested in job 10.\nApplicant 13 is interested in job 2.\nApplicant 13 is interested in job 0.\nApplicant 13 is interested in job 15.\nApplicant 13 is interested in job 4.\nApplicant 13 is interested in job 1.\nApplicant 13 is interested in job 12.\nApplicant 13 is interested in job 3.\nApplicant 13 is interested in job 13.\nApplicant 14 is interested in job 3.\nApplicant 14 is interested in job 4.\nApplicant 14 is interested in job 5.\nApplicant 14 is interested in job 0.\nApplicant 14 is interested in job 9.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 7\napplicant 1: job 3\napplicant 2: job 15\napplicant 3: job 6\napplicant 4: job 10\napplicant 5: job 2\napplicant 6: job 13\napplicant 7: job 11\napplicant 8: job 5\napplicant 9: job 14\napplicant 10: job 4\napplicant 11: job 17\napplicant 12: job 1\napplicant 13: job 8\napplicant 14: job 0\n15 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "7"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 15 job applicants numbered from 0 to 14, and 17 jobs numbered from 0 to 16. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 15.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 13.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 2.\nApplicant 1 is interested in job 15.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 10.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 16.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 14.\nApplicant 3 is interested in job 16.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 13.\nApplicant 3 is interested in job 8.\nApplicant 4 is interested in job 14.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 12.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 13.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 15.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 13.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 12.\nApplicant 5 is interested in job 7.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 11.\nApplicant 6 is interested in job 10.\nApplicant 7 is interested in job 14.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 12.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 13.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 12.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 11.\nApplicant 9 is interested in job 13.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 0.\nApplicant 10 is interested in job 14.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 4.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 12.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 14.\nApplicant 11 is interested in job 13.\nApplicant 12 is interested in job 11.\nApplicant 12 is interested in job 14.\nApplicant 12 is interested in job 13.\nApplicant 12 is interested in job 4.\nApplicant 12 is interested in job 10.\nApplicant 12 is interested in job 9.\nApplicant 12 is interested in job 6.\nApplicant 12 is interested in job 2.\nApplicant 12 is interested in job 8.\nApplicant 12 is interested in job 15.\nApplicant 13 is interested in job 3.\nApplicant 13 is interested in job 14.\nApplicant 13 is interested in job 5.\nApplicant 13 is interested in job 2.\nApplicant 14 is interested in job 6.\nApplicant 14 is interested in job 11.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 15\napplicant 1: job 10\napplicant 2: job 4\napplicant 3: job 0\napplicant 4: job 14\napplicant 5: job 2\napplicant 6: job 7\napplicant 7: job 11\napplicant 8: job 12\napplicant 9: job 5\napplicant 10: job 1\napplicant 11: job 9\napplicant 12: job 13\napplicant 13: job 3\napplicant 14: job 6\n15 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "8"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 4.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 4\napplicant 3: job 3\napplicant 4: job 0\n4 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "9"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 2.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 3.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 7.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 8.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 7.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 1\napplicant 2: job 6\napplicant 3: job 8\napplicant 4: job 0\napplicant 5: job 5\napplicant 6: job 7\napplicant 7: job 3\napplicant 8: job 2\n9 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "10"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 0\napplicant 2: job 3\napplicant 3: job 2\napplicant 4: job 1\n4 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "11"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 7.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 0.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 3\napplicant 2: job 0\napplicant 3: job 6\napplicant 4: job 7\napplicant 5: job 5\napplicant 6: job 1\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "12"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 15 jobs numbered from 0 to 14. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 14.\nApplicant 0 is interested in job 13.\nApplicant 1 is interested in job 13.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 9.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 14.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 13.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 8.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 12.\nApplicant 5 is interested in job 10.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 7.\nApplicant 7 is interested in job 12.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 7.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 13.\nApplicant 8 is interested in job 6.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 12.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 13.\nApplicant 9 is interested in job 14.\nApplicant 9 is interested in job 10.\nApplicant 10 is interested in job 14.\nApplicant 10 is interested in job 1.\nApplicant 11 is interested in job 13.\nApplicant 11 is interested in job 7.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 2.\nApplicant 12 is interested in job 0.\nApplicant 12 is interested in job 11.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 8\napplicant 1: job 13\napplicant 2: job 12\napplicant 3: job 2\napplicant 4: job 3\napplicant 5: job 10\napplicant 6: job 9\napplicant 7: job 1\napplicant 8: job 5\napplicant 9: job 4\napplicant 10: job 14\napplicant 11: job 7\napplicant 12: job 0\n13 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "13"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 7\napplicant 1: job 5\napplicant 2: job 0\napplicant 3: job 1\napplicant 4: job 2\napplicant 5: job 4\napplicant 6: job 6\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "14"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 2.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 3.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 3.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 4.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 6\napplicant 2: job 4\napplicant 3: job 5\napplicant 4: job 0\napplicant 5: job 1\napplicant 6: job 3\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "15"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 11 jobs numbered from 0 to 10. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 2.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 9.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 9.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 7.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 0.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 7.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 7.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 8.\nApplicant 10 is interested in job 10.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 0\napplicant 2: job 6\napplicant 3: job 9\napplicant 4: job 3\napplicant 5: job 1\napplicant 6: job 10\napplicant 7: job 5\napplicant 8: job 7\napplicant 9: job 8\napplicant 11: job 2\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "16"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 11 jobs numbered from 0 to 10. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 10.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 3.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 9.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 6.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 7.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 9.\nApplicant 8 is interested in job 10.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 9.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 4.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 7.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 10\napplicant 2: job 0\napplicant 3: job 2\napplicant 4: job 7\napplicant 5: job 5\napplicant 6: job 9\napplicant 7: job 8\napplicant 8: job 6\napplicant 9: job 4\napplicant 10: job 3\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "17"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 14 jobs numbered from 0 to 13. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 12.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 13.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 12.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 10.\nApplicant 1 is interested in job 11.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 10.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 13.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 12.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 12.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 7.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 0.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 13.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 6.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 1\napplicant 2: job 2\napplicant 3: job 5\napplicant 4: job 0\napplicant 5: job 7\napplicant 6: job 3\napplicant 7: job 11\napplicant 8: job 9\napplicant 9: job 10\napplicant 10: job 13\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "18"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 3\napplicant 2: job 0\napplicant 3: job 2\n4 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "19"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 4 job applicants numbered from 0 to 3, and 4 jobs numbered from 0 to 3. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 3\napplicant 1: job 0\napplicant 2: job 2\napplicant 3: job 1\n4 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "20"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 12 jobs numbered from 0 to 11. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 6.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 3.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 11.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 7.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 2.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 10.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 6.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 11.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 10.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 1.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 0.\nApplicant 11 is interested in job 7.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 3\napplicant 1: job 7\napplicant 2: job 9\napplicant 3: job 11\napplicant 4: job 0\napplicant 5: job 5\napplicant 6: job 8\napplicant 7: job 6\napplicant 8: job 10\napplicant 9: job 1\napplicant 10: job 2\napplicant 11: job 4\n12 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "21"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 3.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 2.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 7\napplicant 2: job 1\napplicant 3: job 0\napplicant 4: job 5\napplicant 5: job 6\napplicant 6: job 3\napplicant 7: job 4\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "22"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 12 jobs numbered from 0 to 11. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 11.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 9.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 7.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 7.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 2.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 11.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 10.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 0.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 10.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 0\napplicant 2: job 6\napplicant 3: job 3\napplicant 4: job 5\napplicant 5: job 4\napplicant 6: job 9\napplicant 7: job 8\napplicant 8: job 10\napplicant 9: job 7\napplicant 10: job 11\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "23"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 1.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 4.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 3\napplicant 2: job 6\napplicant 3: job 5\napplicant 5: job 0\napplicant 6: job 2\napplicant 7: job 4\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "24"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 5.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 6.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 2\napplicant 2: job 5\napplicant 3: job 4\napplicant 4: job 0\napplicant 5: job 6\napplicant 6: job 7\napplicant 7: job 3\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "25"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 5.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 6.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 2: job 3\napplicant 3: job 6\napplicant 4: job 2\napplicant 5: job 1\napplicant 6: job 5\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "26"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 5.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 1.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 6\napplicant 1: job 2\napplicant 2: job 1\napplicant 3: job 3\napplicant 5: job 5\napplicant 6: job 0\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "27"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 5.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 0\napplicant 2: job 5\napplicant 3: job 6\napplicant 4: job 4\napplicant 5: job 2\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "28"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 10 jobs numbered from 0 to 9. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 8.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 6.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 7.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 9.\nApplicant 5 is interested in job 4.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 8.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 7\napplicant 2: job 1\napplicant 3: job 9\napplicant 4: job 3\napplicant 5: job 4\napplicant 6: job 0\napplicant 7: job 8\napplicant 8: job 6\n9 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "29"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 14 job applicants numbered from 0 to 13, and 12 jobs numbered from 0 to 11. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 10.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 10.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 3.\nApplicant 5 is interested in job 6.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 11.\nApplicant 6 is interested in job 1.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 9.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 5.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 5.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 10.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 7.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 10.\nApplicant 11 is interested in job 2.\nApplicant 12 is interested in job 6.\nApplicant 12 is interested in job 11.\nApplicant 12 is interested in job 0.\nApplicant 12 is interested in job 2.\nApplicant 12 is interested in job 1.\nApplicant 12 is interested in job 10.\nApplicant 12 is interested in job 5.\nApplicant 12 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 9\napplicant 1: job 3\napplicant 2: job 8\napplicant 3: job 7\napplicant 4: job 11\napplicant 5: job 6\napplicant 6: job 4\napplicant 7: job 2\napplicant 8: job 1\napplicant 9: job 5\napplicant 10: job 10\napplicant 12: job 0\n12 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "30"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 3\napplicant 4: job 2\n5 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "31"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 3.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 2.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 4.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 5.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 5.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 3\napplicant 1: job 7\napplicant 2: job 1\napplicant 3: job 0\napplicant 4: job 6\napplicant 5: job 2\napplicant 6: job 5\napplicant 7: job 4\n8 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "32"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 5.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 3\napplicant 1: job 0\napplicant 2: job 1\napplicant 3: job 4\napplicant 4: job 2\napplicant 5: job 5\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "33"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 4 job applicants numbered from 0 to 3, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 0\napplicant 2: job 1\napplicant 3: job 3\n4 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "34"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 4 job applicants numbered from 0 to 3, and 2 jobs numbered from 0 to 1. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 2: job 0\n2 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "35"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 10 job applicants numbered from 0 to 9, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 6.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 6.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 1.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 8\napplicant 2: job 3\napplicant 3: job 2\napplicant 4: job 6\napplicant 5: job 7\napplicant 6: job 5\napplicant 7: job 0\napplicant 8: job 4\n9 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "36"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 13 jobs numbered from 0 to 12. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 11.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 12.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 10.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 10.\nApplicant 1 is interested in job 12.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 10.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 12.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 5.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 7.\nApplicant 6 is interested in job 11.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 7.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 12.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 4.\nApplicant 8 is interested in job 12.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 7.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 5.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 4.\nApplicant 11 is interested in job 2.\nApplicant 11 is interested in job 0.\nApplicant 11 is interested in job 10.\nApplicant 11 is interested in job 7.\nApplicant 11 is interested in job 1.\nApplicant 12 is interested in job 6.\nApplicant 12 is interested in job 5.\nApplicant 12 is interested in job 9.\nApplicant 12 is interested in job 3.\nApplicant 12 is interested in job 7.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 10\napplicant 2: job 1\napplicant 3: job 3\napplicant 4: job 6\napplicant 5: job 7\napplicant 6: job 8\napplicant 7: job 0\napplicant 8: job 12\napplicant 9: job 9\napplicant 10: job 11\napplicant 11: job 2\napplicant 12: job 5\n13 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "37"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 1\napplicant 2: job 6\napplicant 3: job 5\napplicant 4: job 7\napplicant 5: job 2\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "38"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 15 jobs numbered from 0 to 14. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 11.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 12.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 13.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 14.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 10.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 14.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 14.\nApplicant 3 is interested in job 12.\nApplicant 4 is interested in job 11.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 11.\nApplicant 5 is interested in job 13.\nApplicant 5 is interested in job 14.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 12.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 9.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 14.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 4.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 13.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 10.\nApplicant 8 is interested in job 7.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 14.\nApplicant 9 is interested in job 13.\nApplicant 9 is interested in job 3.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 12.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 14.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 8.\nApplicant 11 is interested in job 12.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 13.\nApplicant 11 is interested in job 3.\nApplicant 12 is interested in job 0.\nApplicant 12 is interested in job 1.\nApplicant 12 is interested in job 4.\nApplicant 12 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 6\napplicant 1: job 7\napplicant 2: job 9\napplicant 3: job 14\napplicant 4: job 11\napplicant 5: job 2\napplicant 6: job 5\napplicant 7: job 8\napplicant 8: job 1\napplicant 9: job 0\napplicant 10: job 10\napplicant 11: job 12\napplicant 12: job 4\n13 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "39"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 4 job applicants numbered from 0 to 3, and 2 jobs numbered from 0 to 1. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 0\napplicant 2: job 1\n2 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "40"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 14 jobs numbered from 0 to 13. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 12.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 13.\nApplicant 1 is interested in job 12.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 11.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 10.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 13.\nApplicant 3 is interested in job 10.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 11.\nApplicant 4 is interested in job 13.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 12.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 11.\nApplicant 5 is interested in job 13.\nApplicant 6 is interested in job 11.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 12.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 13.\nApplicant 7 is interested in job 10.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 12.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 13.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 11.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 13.\nApplicant 10 is interested in job 8.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 0.\nApplicant 11 is interested in job 2.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 7.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 12\napplicant 1: job 5\napplicant 2: job 1\napplicant 3: job 7\napplicant 4: job 13\napplicant 5: job 4\napplicant 6: job 11\napplicant 7: job 8\napplicant 8: job 3\napplicant 9: job 10\napplicant 10: job 6\napplicant 11: job 9\n12 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "41"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 4 job applicants numbered from 0 to 3, and 3 jobs numbered from 0 to 2. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 0\n2 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "42"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 4 jobs numbered from 0 to 3. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 3\napplicant 1: job 0\napplicant 2: job 1\napplicant 3: job 2\n4 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "43"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 13 jobs numbered from 0 to 12. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 11.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 8.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 9.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 6.\nApplicant 6 is interested in job 12.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 12.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 2.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 10.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 10\napplicant 1: job 11\napplicant 2: job 3\napplicant 3: job 4\napplicant 4: job 6\napplicant 5: job 1\napplicant 6: job 12\napplicant 7: job 9\napplicant 8: job 2\napplicant 9: job 0\napplicant 10: job 5\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "44"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 10 job applicants numbered from 0 to 9, and 12 jobs numbered from 0 to 11. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 10.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 10.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 0.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 2.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 8.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 10.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 2.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 8.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 8\napplicant 1: job 6\napplicant 2: job 5\napplicant 3: job 3\napplicant 4: job 4\napplicant 5: job 7\napplicant 6: job 2\napplicant 7: job 1\napplicant 8: job 10\napplicant 9: job 0\n10 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "45"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 11 jobs numbered from 0 to 10. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 10.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 10.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 8.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 10.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 8.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 7.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 7.\nApplicant 8 is interested in job 2.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 7.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 10\napplicant 1: job 7\napplicant 2: job 4\napplicant 3: job 6\napplicant 4: job 8\napplicant 5: job 0\napplicant 6: job 1\napplicant 7: job 3\napplicant 8: job 2\napplicant 9: job 9\napplicant 10: job 5\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "46"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 10 jobs numbered from 0 to 9. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 8.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 8.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 4.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 9.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 6.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 3.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 9.\nApplicant 10 is interested in job 8.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 4.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 8.\nApplicant 12 is interested in job 7.\nApplicant 12 is interested in job 8.\nApplicant 12 is interested in job 2.\nApplicant 12 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 1\napplicant 2: job 4\napplicant 3: job 0\napplicant 4: job 9\napplicant 5: job 7\napplicant 7: job 3\napplicant 8: job 2\napplicant 9: job 6\napplicant 10: job 8\n10 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "47"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 4.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 7.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 2.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 0.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 0\napplicant 2: job 7\napplicant 3: job 3\napplicant 4: job 2\napplicant 5: job 5\napplicant 6: job 4\napplicant 8: job 6\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "48"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 0.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 2\napplicant 2: job 4\napplicant 3: job 3\napplicant 4: job 0\napplicant 5: job 5\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "49"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 15 jobs numbered from 0 to 14. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 14.\nApplicant 0 is interested in job 12.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 11.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 5.\nApplicant 1 is interested in job 12.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 14.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 13.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 13.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 8.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 12.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 9.\nApplicant 6 is interested in job 14.\nApplicant 6 is interested in job 12.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 11.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 14.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 12.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 10.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 12.\nApplicant 8 is interested in job 3.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 13.\nApplicant 9 is interested in job 12.\nApplicant 9 is interested in job 14.\nApplicant 9 is interested in job 0.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 13.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 12.\nApplicant 11 is interested in job 1.\nApplicant 11 is interested in job 12.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 13.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 6.\nApplicant 12 is interested in job 2.\nApplicant 12 is interested in job 11.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 9\napplicant 1: job 12\napplicant 2: job 11\napplicant 3: job 13\napplicant 4: job 8\napplicant 5: job 7\napplicant 6: job 14\napplicant 7: job 3\napplicant 8: job 6\napplicant 9: job 1\napplicant 10: job 4\napplicant 11: job 5\napplicant 12: job 2\n13 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "50"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 14 jobs numbered from 0 to 13. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 13.\nApplicant 0 is interested in job 11.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 5.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 12.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 11.\nApplicant 4 is interested in job 12.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 13.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 11.\nApplicant 5 is interested in job 9.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 12.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 13.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 2.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 12.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 8.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 13.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 12.\nApplicant 9 is interested in job 1.\nApplicant 10 is interested in job 13.\nApplicant 10 is interested in job 12.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 7.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 13.\nApplicant 11 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 9\napplicant 1: job 3\napplicant 2: job 0\napplicant 3: job 11\napplicant 4: job 12\napplicant 5: job 6\napplicant 6: job 10\napplicant 7: job 1\napplicant 8: job 7\napplicant 9: job 4\napplicant 10: job 13\napplicant 11: job 8\n12 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "51"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 3.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 3.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 7\napplicant 2: job 2\napplicant 3: job 6\napplicant 4: job 1\napplicant 5: job 3\napplicant 6: job 4\napplicant 7: job 8\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "52"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 5.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 6.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 1.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 0.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 4\napplicant 2: job 0\napplicant 3: job 6\napplicant 4: job 1\napplicant 5: job 2\napplicant 6: job 3\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "53"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 11 jobs numbered from 0 to 10. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 10.\nApplicant 2 is interested in job 9.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 8.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 9.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 2.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 6.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 9\napplicant 2: job 4\napplicant 3: job 7\napplicant 4: job 3\napplicant 5: job 10\napplicant 6: job 8\napplicant 7: job 2\napplicant 8: job 1\n9 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "54"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 15 job applicants numbered from 0 to 14, and 15 jobs numbered from 0 to 14. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 13.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 11.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 8.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 13.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 14.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 10.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 12.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 11.\nApplicant 5 is interested in job 13.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 10.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 12.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 14.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 8.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 0.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 14.\nApplicant 9 is interested in job 2.\nApplicant 10 is interested in job 8.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 14.\nApplicant 10 is interested in job 6.\nApplicant 11 is interested in job 2.\nApplicant 11 is interested in job 7.\nApplicant 11 is interested in job 0.\nApplicant 11 is interested in job 10.\nApplicant 11 is interested in job 12.\nApplicant 11 is interested in job 6.\nApplicant 12 is interested in job 5.\nApplicant 12 is interested in job 13.\nApplicant 13 is interested in job 4.\nApplicant 13 is interested in job 14.\nApplicant 13 is interested in job 8.\nApplicant 13 is interested in job 9.\nApplicant 13 is interested in job 2.\nApplicant 13 is interested in job 7.\nApplicant 13 is interested in job 13.\nApplicant 13 is interested in job 10.\nApplicant 13 is interested in job 11.\nApplicant 13 is interested in job 0.\nApplicant 13 is interested in job 3.\nApplicant 13 is interested in job 6.\nApplicant 14 is interested in job 0.\nApplicant 14 is interested in job 13.\nApplicant 14 is interested in job 7.\nApplicant 14 is interested in job 4.\nApplicant 14 is interested in job 12.\nApplicant 14 is interested in job 14.\nApplicant 14 is interested in job 6.\nApplicant 14 is interested in job 10.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 13\napplicant 1: job 3\napplicant 2: job 12\napplicant 3: job 7\napplicant 4: job 6\napplicant 5: job 11\napplicant 6: job 0\napplicant 7: job 9\napplicant 8: job 1\napplicant 9: job 14\napplicant 10: job 8\napplicant 11: job 2\napplicant 12: job 5\napplicant 13: job 10\napplicant 14: job 4\n15 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "55"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 4 job applicants numbered from 0 to 3, and 3 jobs numbered from 0 to 2. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 1\napplicant 2: job 0\n3 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "56"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 11 jobs numbered from 0 to 10. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 9.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 9.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 8.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 10.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 3.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 8.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 7\napplicant 1: job 4\napplicant 2: job 3\napplicant 3: job 5\napplicant 5: job 8\napplicant 6: job 9\napplicant 7: job 0\napplicant 8: job 1\napplicant 9: job 10\napplicant 10: job 2\napplicant 11: job 6\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "57"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 12 jobs numbered from 0 to 11. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 8.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 8.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 10.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 6.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 9.\nApplicant 7 is interested in job 8.\nApplicant 8 is interested in job 9.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 10.\nApplicant 10 is interested in job 8.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 10.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 6\napplicant 1: job 0\napplicant 2: job 5\napplicant 3: job 1\napplicant 4: job 11\napplicant 5: job 2\napplicant 6: job 4\napplicant 7: job 8\napplicant 8: job 9\napplicant 9: job 10\napplicant 10: job 3\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "58"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 14 job applicants numbered from 0 to 13, and 14 jobs numbered from 0 to 13. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 12.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 11.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 10.\nApplicant 1 is interested in job 13.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 10.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 6.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 10.\nApplicant 3 is interested in job 9.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 13.\nApplicant 4 is interested in job 12.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 11.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 11.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 12.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 13.\nApplicant 6 is interested in job 13.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 5.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 13.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 12.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 9.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 1.\nApplicant 10 is interested in job 13.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 12.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 8.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 10.\nApplicant 11 is interested in job 12.\nApplicant 11 is interested in job 7.\nApplicant 12 is interested in job 13.\nApplicant 12 is interested in job 11.\nApplicant 12 is interested in job 5.\nApplicant 12 is interested in job 3.\nApplicant 12 is interested in job 6.\nApplicant 12 is interested in job 12.\nApplicant 12 is interested in job 1.\nApplicant 12 is interested in job 8.\nApplicant 12 is interested in job 4.\nApplicant 12 is interested in job 2.\nApplicant 13 is interested in job 1.\nApplicant 13 is interested in job 4.\nApplicant 13 is interested in job 3.\nApplicant 13 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 2\napplicant 2: job 0\napplicant 3: job 12\napplicant 4: job 3\napplicant 5: job 11\napplicant 6: job 13\napplicant 7: job 7\napplicant 8: job 4\napplicant 9: job 10\napplicant 10: job 9\napplicant 11: job 6\napplicant 12: job 8\napplicant 13: job 5\n14 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "59"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 5.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 6\napplicant 2: job 5\napplicant 3: job 3\napplicant 4: job 1\napplicant 5: job 0\napplicant 8: job 2\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "60"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 15 jobs numbered from 0 to 14. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 11.\nApplicant 0 is interested in job 14.\nApplicant 0 is interested in job 13.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 14.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 10.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 14.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 6.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 14.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 12.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 14.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 13.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 11.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 12.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 4.\nApplicant 8 is interested in job 13.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 2.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 7.\nApplicant 10 is interested in job 14.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 8.\nApplicant 10 is interested in job 7.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 14.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 0.\nApplicant 12 is interested in job 2.\nApplicant 12 is interested in job 4.\nApplicant 12 is interested in job 7.\nApplicant 12 is interested in job 6.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 0\napplicant 1: job 14\napplicant 2: job 2\napplicant 3: job 3\napplicant 4: job 10\napplicant 5: job 6\napplicant 6: job 8\napplicant 7: job 12\napplicant 8: job 13\napplicant 9: job 9\napplicant 10: job 11\napplicant 11: job 5\napplicant 12: job 4\n13 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "61"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 15 job applicants numbered from 0 to 14, and 12 jobs numbered from 0 to 11. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 11.\nApplicant 0 is interested in job 8.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 11.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 10.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 6.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 11.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 10.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 6.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 5.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 5.\nApplicant 10 is interested in job 8.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 10.\nApplicant 11 is interested in job 7.\nApplicant 11 is interested in job 10.\nApplicant 11 is interested in job 1.\nApplicant 11 is interested in job 3.\nApplicant 11 is interested in job 9.\nApplicant 12 is interested in job 7.\nApplicant 12 is interested in job 5.\nApplicant 13 is interested in job 1.\nApplicant 13 is interested in job 2.\nApplicant 13 is interested in job 9.\nApplicant 13 is interested in job 10.\nApplicant 13 is interested in job 11.\nApplicant 14 is interested in job 0.\nApplicant 14 is interested in job 6.\nApplicant 14 is interested in job 4.\nApplicant 14 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 3\napplicant 1: job 8\napplicant 2: job 9\napplicant 3: job 6\napplicant 4: job 7\napplicant 6: job 5\napplicant 7: job 4\napplicant 8: job 0\napplicant 9: job 1\napplicant 10: job 2\napplicant 11: job 10\napplicant 13: job 11\n12 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "62"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 4.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 8.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 7.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 7.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 0.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 2.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 7.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 3.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 3\napplicant 1: job 6\napplicant 2: job 2\napplicant 3: job 5\napplicant 4: job 7\napplicant 5: job 4\napplicant 6: job 1\napplicant 7: job 8\napplicant 9: job 0\n9 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "63"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 5.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 7.\nApplicant 3 is interested in job 5.\nApplicant 3 is interested in job 6.\nApplicant 4 is interested in job 7.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 4.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 1\napplicant 1: job 7\napplicant 2: job 5\napplicant 3: job 6\napplicant 5: job 3\napplicant 6: job 2\napplicant 7: job 4\napplicant 8: job 0\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "64"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 13 jobs numbered from 0 to 12. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 11.\nApplicant 1 is interested in job 10.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 10.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 10.\nApplicant 4 is interested in job 11.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 3.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 11.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 7.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 11.\nApplicant 9 is interested in job 4.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 0.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 3.\nApplicant 11 is interested in job 2.\nApplicant 11 is interested in job 0.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 1.\nApplicant 12 is interested in job 7.\nApplicant 12 is interested in job 4.\nApplicant 12 is interested in job 12.\nApplicant 12 is interested in job 3.\nApplicant 12 is interested in job 10.\nApplicant 12 is interested in job 8.\nApplicant 12 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 7\napplicant 1: job 10\napplicant 2: job 1\napplicant 3: job 0\napplicant 4: job 3\napplicant 5: job 2\napplicant 6: job 8\napplicant 7: job 11\napplicant 8: job 6\napplicant 9: job 4\napplicant 10: job 5\napplicant 11: job 9\napplicant 12: job 12\n13 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "65"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 15 jobs numbered from 0 to 14. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 13.\nApplicant 0 is interested in job 14.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 10.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 13.\nApplicant 1 is interested in job 14.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 14.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 10.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 13.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 9.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 12.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 13.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 11.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 14.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 9.\nApplicant 8 is interested in job 14.\nApplicant 8 is interested in job 13.\nApplicant 8 is interested in job 7.\nApplicant 9 is interested in job 10.\nApplicant 9 is interested in job 11.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 13.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 8.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 12.\nApplicant 10 is interested in job 13.\nApplicant 10 is interested in job 1.\nApplicant 11 is interested in job 11.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 0.\nApplicant 11 is interested in job 12.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 13\napplicant 1: job 9\napplicant 2: job 1\napplicant 3: job 7\napplicant 4: job 11\napplicant 5: job 5\napplicant 6: job 2\napplicant 7: job 14\napplicant 8: job 0\napplicant 9: job 10\napplicant 10: job 3\napplicant 11: job 4\n12 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "66"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 8.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 4.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 6\napplicant 1: job 0\napplicant 2: job 8\napplicant 3: job 4\napplicant 4: job 7\napplicant 5: job 3\napplicant 6: job 5\n7 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "67"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 0\napplicant 2: job 4\napplicant 3: job 3\napplicant 4: job 5\n5 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "68"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 10 job applicants numbered from 0 to 9, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 5.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 6.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 6.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 0.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 3.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 3.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 2.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 6.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 4\napplicant 2: job 7\napplicant 3: job 6\napplicant 4: job 0\napplicant 5: job 1\napplicant 6: job 3\napplicant 7: job 5\n8 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "69"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 11 job applicants numbered from 0 to 10, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 3.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 4.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 7.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 6.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 8.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 8.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 7.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 5.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 8.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 7.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 8\napplicant 1: job 5\napplicant 2: job 4\napplicant 3: job 7\napplicant 4: job 1\napplicant 5: job 6\napplicant 6: job 3\napplicant 7: job 0\napplicant 8: job 2\n9 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "70"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 6.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 3.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 0\napplicant 2: job 5\napplicant 3: job 4\napplicant 4: job 1\napplicant 5: job 3\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "71"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 8 jobs numbered from 0 to 7. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 6.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 4.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 0.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 1\napplicant 2: job 3\napplicant 3: job 0\napplicant 4: job 7\napplicant 5: job 2\napplicant 6: job 6\napplicant 8: job 5\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "72"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 15 job applicants numbered from 0 to 14, and 14 jobs numbered from 0 to 13. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 13.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 10.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 11.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 13.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 12.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 12.\nApplicant 4 is interested in job 13.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 11.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 10.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 3.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 11.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 9.\nApplicant 6 is interested in job 12.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 0.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 13.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 2.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 12.\nApplicant 8 is interested in job 6.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 11.\nApplicant 9 is interested in job 12.\nApplicant 9 is interested in job 2.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 7.\nApplicant 10 is interested in job 13.\nApplicant 11 is interested in job 9.\nApplicant 11 is interested in job 10.\nApplicant 11 is interested in job 3.\nApplicant 11 is interested in job 1.\nApplicant 11 is interested in job 5.\nApplicant 12 is interested in job 7.\nApplicant 13 is interested in job 8.\nApplicant 13 is interested in job 11.\nApplicant 13 is interested in job 13.\nApplicant 13 is interested in job 7.\nApplicant 13 is interested in job 9.\nApplicant 14 is interested in job 11.\nApplicant 14 is interested in job 3.\nApplicant 14 is interested in job 12.\nApplicant 14 is interested in job 6.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 13\napplicant 1: job 3\napplicant 2: job 11\napplicant 3: job 2\napplicant 4: job 1\napplicant 5: job 6\napplicant 6: job 7\napplicant 7: job 5\napplicant 8: job 4\napplicant 9: job 9\napplicant 10: job 0\napplicant 11: job 10\napplicant 13: job 8\napplicant 14: job 12\n14 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "73"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 4 jobs numbered from 0 to 3. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 0.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 3\napplicant 2: job 1\napplicant 3: job 0\n4 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "74"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 13 job applicants numbered from 0 to 12, and 13 jobs numbered from 0 to 12. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 10.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 11.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 9.\nApplicant 1 is interested in job 12.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 12.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 11.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 9.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 6 is interested in job 12.\nApplicant 6 is interested in job 10.\nApplicant 6 is interested in job 11.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 7.\nApplicant 7 is interested in job 11.\nApplicant 7 is interested in job 12.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 3.\nApplicant 8 is interested in job 4.\nApplicant 8 is interested in job 5.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 7.\nApplicant 9 is interested in job 6.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 12.\nApplicant 10 is interested in job 0.\nApplicant 10 is interested in job 8.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 5.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 10.\nApplicant 10 is interested in job 11.\nApplicant 10 is interested in job 1.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 3.\nApplicant 11 is interested in job 1.\nApplicant 11 is interested in job 7.\nApplicant 11 is interested in job 10.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 12.\nApplicant 11 is interested in job 2.\nApplicant 12 is interested in job 1.\nApplicant 12 is interested in job 6.\nApplicant 12 is interested in job 4.\nApplicant 12 is interested in job 8.\nApplicant 12 is interested in job 10.\nApplicant 12 is interested in job 12.\nApplicant 12 is interested in job 11.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 8\napplicant 1: job 3\napplicant 2: job 7\napplicant 3: job 12\napplicant 4: job 0\napplicant 5: job 6\napplicant 6: job 10\napplicant 7: job 9\napplicant 8: job 4\napplicant 9: job 5\napplicant 10: job 11\napplicant 11: job 2\napplicant 12: job 1\n13 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "75"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 10 job applicants numbered from 0 to 9, and 7 jobs numbered from 0 to 6. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 3.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 6.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 1.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 3.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 0.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 1.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 0.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 6.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 3.\nApplicant 9 is interested in job 4.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 1.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 2\napplicant 2: job 6\napplicant 3: job 1\napplicant 4: job 3\napplicant 5: job 0\napplicant 7: job 5\n7 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "76"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 4.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 2.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 5.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 5.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 7.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 2.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 3.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 4.\nApplicant 9 is interested in job 2.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 1.\nApplicant 9 is interested in job 0.\nApplicant 9 is interested in job 6.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 3.\nApplicant 10 is interested in job 8.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 8.\nApplicant 11 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 7\napplicant 2: job 4\napplicant 3: job 1\napplicant 4: job 2\napplicant 5: job 8\napplicant 6: job 0\napplicant 8: job 3\napplicant 9: job 6\n9 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "77"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 5.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 0.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 1.\nApplicant 7 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 0\napplicant 1: job 5\napplicant 2: job 2\napplicant 3: job 3\napplicant 4: job 1\napplicant 6: job 4\n6 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "78"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 10 jobs numbered from 0 to 9. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 9.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 7.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 4.\nApplicant 2 is interested in job 6.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 2.\nApplicant 3 is interested in job 9.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 8.\nApplicant 4 is interested in job 6.\nApplicant 5 is interested in job 9.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 1.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 4.\nApplicant 6 is interested in job 2.\nApplicant 6 is interested in job 6.\nApplicant 7 is interested in job 6.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 3.\nApplicant 7 is interested in job 5.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 8.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 5\napplicant 1: job 7\napplicant 2: job 6\napplicant 3: job 1\napplicant 4: job 3\napplicant 5: job 9\napplicant 6: job 8\napplicant 7: job 2\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "79"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 9 job applicants numbered from 0 to 8, and 9 jobs numbered from 0 to 8. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 2.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 1.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 8.\nApplicant 1 is interested in job 4.\nApplicant 1 is interested in job 7.\nApplicant 2 is interested in job 4.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 8.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 3.\nApplicant 2 is interested in job 6.\nApplicant 3 is interested in job 3.\nApplicant 3 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 3.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 2.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 7.\nApplicant 6 is interested in job 0.\nApplicant 6 is interested in job 8.\nApplicant 6 is interested in job 2.\nApplicant 7 is interested in job 4.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 0.\nApplicant 7 is interested in job 1.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 5.\nApplicant 8 is interested in job 2.\nApplicant 8 is interested in job 1.\nApplicant 8 is interested in job 5.\nApplicant 8 is interested in job 6.\nApplicant 8 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 2\napplicant 1: job 5\napplicant 2: job 4\napplicant 3: job 3\napplicant 4: job 7\napplicant 5: job 8\napplicant 6: job 0\napplicant 7: job 1\napplicant 8: job 6\n9 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "80"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 12 job applicants numbered from 0 to 11, and 11 jobs numbered from 0 to 10. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 7.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 9.\nApplicant 2 is interested in job 10.\nApplicant 2 is interested in job 5.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 7.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 7.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 4.\nApplicant 4 is interested in job 7.\nApplicant 4 is interested in job 0.\nApplicant 4 is interested in job 5.\nApplicant 5 is interested in job 8.\nApplicant 5 is interested in job 3.\nApplicant 5 is interested in job 10.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 2.\nApplicant 6 is interested in job 3.\nApplicant 6 is interested in job 9.\nApplicant 7 is interested in job 2.\nApplicant 7 is interested in job 8.\nApplicant 7 is interested in job 9.\nApplicant 7 is interested in job 6.\nApplicant 8 is interested in job 10.\nApplicant 9 is interested in job 9.\nApplicant 9 is interested in job 5.\nApplicant 9 is interested in job 3.\nApplicant 10 is interested in job 4.\nApplicant 10 is interested in job 2.\nApplicant 10 is interested in job 6.\nApplicant 10 is interested in job 8.\nApplicant 10 is interested in job 9.\nApplicant 10 is interested in job 1.\nApplicant 10 is interested in job 5.\nApplicant 11 is interested in job 4.\nApplicant 11 is interested in job 5.\nApplicant 11 is interested in job 6.\nApplicant 11 is interested in job 0.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 7\napplicant 1: job 1\napplicant 2: job 9\napplicant 3: job 8\napplicant 4: job 4\napplicant 5: job 3\napplicant 7: job 2\napplicant 8: job 10\napplicant 9: job 5\napplicant 10: job 6\napplicant 11: job 0\n11 applicants can find the job they are interested in.", "difficulty": "hard", "doc_id": "81"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 8 job applicants numbered from 0 to 7, and 10 jobs numbered from 0 to 9. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 1.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 8.\nApplicant 0 is interested in job 0.\nApplicant 1 is interested in job 3.\nApplicant 1 is interested in job 0.\nApplicant 1 is interested in job 7.\nApplicant 1 is interested in job 5.\nApplicant 1 is interested in job 1.\nApplicant 1 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 7.\nApplicant 3 is interested in job 1.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 6.\nApplicant 3 is interested in job 9.\nApplicant 3 is interested in job 8.\nApplicant 3 is interested in job 5.\nApplicant 4 is interested in job 9.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 6.\nApplicant 4 is interested in job 2.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 4.\nApplicant 5 is interested in job 6.\nApplicant 5 is interested in job 7.\nApplicant 5 is interested in job 5.\nApplicant 5 is interested in job 1.\nApplicant 5 is interested in job 0.\nApplicant 6 is interested in job 1.\nApplicant 6 is interested in job 5.\nApplicant 6 is interested in job 3.\nApplicant 7 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 8\napplicant 1: job 3\napplicant 2: job 2\napplicant 3: job 0\napplicant 4: job 9\napplicant 5: job 4\napplicant 6: job 1\napplicant 7: job 5\n8 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "82"}
{"question": "There are 4 job applicants numbered from 0 to 3, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 3 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 2 is interested in job 4.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 4.\nApplicant 2 is interested in job 0, job 2, job 4.\nApplicant 3 is interested in job 1, job 2.\nWe can make the following assignments:\napplicant 0: job 4\napplicant 2: job 0\napplicant 3: job 1\n3 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 0.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 5.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 2 is interested in job 4.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 0, job 3.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 3, job 4.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 1, job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 0\napplicant 2: job 4\napplicant 4: job 1\n4 applicants can find the job they are interested in.\n\nThere are 5 job applicants numbered from 0 to 4, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 3 is interested in job 4.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 4 is interested in job 1.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 0.\nApplicant 0 is interested in job 3.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0.\nApplicant 3 is interested in job 3, job 4.\nApplicant 4 is interested in job 0, job 1.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 0\napplicant 3: job 4\n4 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 6 jobs numbered from 0 to 5. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 2 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 5 is interested in job 4.\nApplicant 3 is interested in job 0.\nApplicant 3 is interested in job 1.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 1.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 2.\nApplicant 0 is interested in job 1.\nApplicant 2 is interested in job 5.\nApplicant 0 is interested in job 2.\nApplicant 5 is interested in job 5.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 1, job 2, job 3.\nApplicant 1 is interested in job 1.\nApplicant 2 is interested in job 0, job 1, job 2, job 3, job 5.\nApplicant 3 is interested in job 0, job 1.\nApplicant 4 is interested in job 2.\nApplicant 5 is interested in job 3, job 4, job 5.\nWe can make the following assignments:\napplicant 0: job 3\napplicant 1: job 1\napplicant 2: job 5\napplicant 3: job 0\napplicant 4: job 2\napplicant 5: job 4\n6 applicants can find the job they are interested in.\n\nThere are 7 job applicants numbered from 0 to 6, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 5.\nApplicant 0 is interested in job 6.\nApplicant 0 is interested in job 3.\nApplicant 5 is interested in job 3.\nApplicant 4 is interested in job 4.\nApplicant 3 is interested in job 6.\nApplicant 1 is interested in job 6.\nApplicant 0 is interested in job 2.\nApplicant 2 is interested in job 2.\nApplicant 2 is interested in job 5.\nApplicant 5 is interested in job 5.\nApplicant 3 is interested in job 5.\nApplicant 1 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA: Applicant 0 is interested in job 2, job 3, job 5, job 6.\nApplicant 1 is interested in job 2, job 6.\nApplicant 2 is interested in job 2, job 5.\nApplicant 3 is interested in job 5, job 6.\nApplicant 4 is interested in job 4.\nApplicant 5 is interested in job 3, job 5.\nWe can make the following assignments:\napplicant 0: job 2\napplicant 1: job 6\napplicant 2: job 5\napplicant 4: job 4\napplicant 5: job 3\n5 applicants can find the job they are interested in.\n\nThere are 6 job applicants numbered from 0 to 5, and 5 jobs numbered from 0 to 4. Each applicant is interested in some of the jobs. Each job can only accept one applicant and a job applicant can be appointed for only one job.\nApplicant 0 is interested in job 4.\nApplicant 0 is interested in job 0.\nApplicant 0 is interested in job 3.\nApplicant 0 is interested in job 2.\nApplicant 1 is interested in job 2.\nApplicant 1 is interested in job 0.\nApplicant 2 is interested in job 1.\nApplicant 2 is interested in job 3.\nApplicant 3 is interested in job 3.\nApplicant 4 is interested in job 3.\nApplicant 4 is interested in job 1.\nApplicant 5 is interested in job 0.\nApplicant 5 is interested in job 2.\nQ: Find an assignment of jobs to applicants in such that the maximum number of applicants find the job they are interested in.\nA:", "answer": "applicant 0: job 4\napplicant 1: job 2\napplicant 2: job 1\napplicant 3: job 3\napplicant 5: job 0\n5 applicants can find the job they are interested in.", "difficulty": "easy", "doc_id": "83"}