message
stringlengths
2
44.5k
message_type
stringclasses
2 values
message_id
int64
0
1
conversation_id
int64
42
109k
cluster
float64
5
5
__index_level_0__
int64
84
217k
Provide a correct Python 3 solution for this coding contest problem. Example Input 7 >> Output 7
instruction
0
2,431
5
4,862
"Correct Solution: ``` n=int(input()) s=input() print(n-min(s.find('>'),n-s.rfind('<')-1)) ```
output
1
2,431
5
4,863
Provide a correct Python 3 solution for this coding contest problem. There are $ n $ acitivities with start times $ \\ {s_i \\} $ and finish times $ \\ {t_i \\} $. Assuming that a person can only work on a single activity at a time, find the maximum number of activities that can be performed by a single person. Constraints * $ 1 \ le n \ le 10 ^ 5 $ * $ 1 \ le s_i \ lt t_i \ le 10 ^ 9 (1 \ le i \ le n) $ Input $ n $ $ s_1 $ $ t_1 $ $ s_2 $ $ t_2 $ :: $ s_n $ $ t_n $ The first line consists of the integer $ n $. In the following $ n $ lines, the start time $ s_i $ and the finish time $ t_i $ of the activity $ i $ are given. output Print the maximum number of activities in a line. Examples Input 5 1 2 3 9 3 5 5 9 6 8 Output 3 Input 3 1 5 3 4 2 5 Output 1 Input 3 1 2 2 3 3 4 Output 2
instruction
0
2,437
5
4,874
"Correct Solution: ``` n = (int)(input()) list=[] for i in range(n): k = input().split(" ") a=(int)(k[0]) b=(int)(k[1]) list.append([a,b]) list = sorted(list,key=lambda x: x[1]) count=0 time=0 for i in range(n): if(time<list[i][0]): count+=1 time=list[i][1] print(count) ```
output
1
2,437
5
4,875
Provide a correct Python 3 solution for this coding contest problem. There are $ n $ acitivities with start times $ \\ {s_i \\} $ and finish times $ \\ {t_i \\} $. Assuming that a person can only work on a single activity at a time, find the maximum number of activities that can be performed by a single person. Constraints * $ 1 \ le n \ le 10 ^ 5 $ * $ 1 \ le s_i \ lt t_i \ le 10 ^ 9 (1 \ le i \ le n) $ Input $ n $ $ s_1 $ $ t_1 $ $ s_2 $ $ t_2 $ :: $ s_n $ $ t_n $ The first line consists of the integer $ n $. In the following $ n $ lines, the start time $ s_i $ and the finish time $ t_i $ of the activity $ i $ are given. output Print the maximum number of activities in a line. Examples Input 5 1 2 3 9 3 5 5 9 6 8 Output 3 Input 3 1 5 3 4 2 5 Output 1 Input 3 1 2 2 3 3 4 Output 2
instruction
0
2,441
5
4,882
"Correct Solution: ``` def act(st): st.sort(key = lambda x:x[0]) OP = [st[0]] for i in range(1,len(st)): if OP[len(OP)-1][1] < st[i][0]: OP.append(st[i]) elif OP[len(OP)-1][1] <= st[i][1]: pass else: OP.pop() OP.append(st[i]) return len(OP) def main(): n = int(input()) st = [tuple(map(int,input().split())) for _ in range(n)] ans = act(st) print(ans) if __name__ == "__main__": main() ```
output
1
2,441
5
4,883
Provide a correct Python 3 solution for this coding contest problem. There are $ n $ acitivities with start times $ \\ {s_i \\} $ and finish times $ \\ {t_i \\} $. Assuming that a person can only work on a single activity at a time, find the maximum number of activities that can be performed by a single person. Constraints * $ 1 \ le n \ le 10 ^ 5 $ * $ 1 \ le s_i \ lt t_i \ le 10 ^ 9 (1 \ le i \ le n) $ Input $ n $ $ s_1 $ $ t_1 $ $ s_2 $ $ t_2 $ :: $ s_n $ $ t_n $ The first line consists of the integer $ n $. In the following $ n $ lines, the start time $ s_i $ and the finish time $ t_i $ of the activity $ i $ are given. output Print the maximum number of activities in a line. Examples Input 5 1 2 3 9 3 5 5 9 6 8 Output 3 Input 3 1 5 3 4 2 5 Output 1 Input 3 1 2 2 3 3 4 Output 2
instruction
0
2,442
5
4,884
"Correct Solution: ``` n = int(input()) A = [] for i in range(n): s, t = [int(x) for x in input().split()] A.append((s, t)) A.sort(key=lambda x: x[1]) ans = 0 t = -1 for a in A: if a[0] > t: ans += 1 t = a[1] print(ans) ```
output
1
2,442
5
4,885
Provide a correct Python 3 solution for this coding contest problem. There are $ n $ acitivities with start times $ \\ {s_i \\} $ and finish times $ \\ {t_i \\} $. Assuming that a person can only work on a single activity at a time, find the maximum number of activities that can be performed by a single person. Constraints * $ 1 \ le n \ le 10 ^ 5 $ * $ 1 \ le s_i \ lt t_i \ le 10 ^ 9 (1 \ le i \ le n) $ Input $ n $ $ s_1 $ $ t_1 $ $ s_2 $ $ t_2 $ :: $ s_n $ $ t_n $ The first line consists of the integer $ n $. In the following $ n $ lines, the start time $ s_i $ and the finish time $ t_i $ of the activity $ i $ are given. output Print the maximum number of activities in a line. Examples Input 5 1 2 3 9 3 5 5 9 6 8 Output 3 Input 3 1 5 3 4 2 5 Output 1 Input 3 1 2 2 3 3 4 Output 2
instruction
0
2,443
5
4,886
"Correct Solution: ``` n = int(input()) t_s = [] for i in range(n): a , b = map(int, input().split()) t_s += [(b, a)] t_s.sort() Sum = 1 i = 1 t_now = t_s[0][0] while i <= n-1: for a in t_s[i:]: i = i + 1 if t_now < a[1]: Sum += 1 t_now = a[0] print(Sum) ```
output
1
2,443
5
4,887
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,451
5
4,902
"Correct Solution: ``` while True: a=input() if a.find('?')>0:break t=a.split() if t[1]=='/':print(int(t[0])//int(t[2])) else:print(eval(''.join(t))) ```
output
1
2,451
5
4,903
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,452
5
4,904
"Correct Solution: ``` while True: i = input() if "?" in i: break print(int(eval(i))) ```
output
1
2,452
5
4,905
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,453
5
4,906
"Correct Solution: ``` while True: s=input() if "?" in s: break print(int(eval(s))) ```
output
1
2,453
5
4,907
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,454
5
4,908
"Correct Solution: ``` while(True): a,op,b=input().split() if op == '?': break print(int(eval(a+op+b))) ```
output
1
2,454
5
4,909
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,455
5
4,910
"Correct Solution: ``` import re while True: s = input() if (re.match(r'.+\s\?\s.+', s)): break print(int(eval(s))) ```
output
1
2,455
5
4,911
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,456
5
4,912
"Correct Solution: ``` ops = {'+': lambda a, b: a+b, '-': lambda a, b: a-b, '*': lambda a, b: a*b, '/': lambda a, b: int(a/b)} while True: a, op, b = input().split() if op not in ops.keys(): break print(ops[op](int(a),int(b))) ```
output
1
2,456
5
4,913
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,457
5
4,914
"Correct Solution: ``` while 1: a=input() if '?' in a:break print(int(eval(a))) ```
output
1
2,457
5
4,915
Provide a correct Python 3 solution for this coding contest problem. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108
instruction
0
2,458
5
4,916
"Correct Solution: ``` while True: a,op,b = map(str,input().split()) if op == "?": exit () else: if op == "/": print (int(a)//int(b)) else: print (eval(a+op+b)) ```
output
1
2,458
5
4,917
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` while True: a, op, b = input().split() a = int(a) b = int(b) if op == '+': print(a + b) elif op == '-': print(a - b) elif op == '*': print(a * b) elif op == '/': print(a // b) else: break ```
instruction
0
2,459
5
4,918
Yes
output
1
2,459
5
4,919
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` import sys for line in sys.stdin: if line.find("?") != -1: break print(int(eval(line))) ```
instruction
0
2,460
5
4,920
Yes
output
1
2,460
5
4,921
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` while True: a, op, b = input().split() a = int(a) b = int(b) if op == '+': print(a + b) elif op == '-': print(a - b) elif op == '/': print(a // b) elif op == '*': print(a * b) else: break ```
instruction
0
2,461
5
4,922
Yes
output
1
2,461
5
4,923
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` a,op,b=input().split() while op != "?": a,b=int(a),int(b) if op=="+": print(a+b) elif op=="-": print(a-b) elif op=="*": print(a*b) else : print(a//b) a,op,b=input().split() ```
instruction
0
2,462
5
4,924
Yes
output
1
2,462
5
4,925
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` for i in range(6): a,op,b = map(str,input().split()) if op == "+": s = int(a)+int(b) print(s) elif op == "-": sa = int(a)-int(b) print(sa) elif op == "*": seki = int(a)*int(b) print(seki) elif op == "/": syou=round(int(a)/int(b)) print(syou) else: break ```
instruction
0
2,463
5
4,926
No
output
1
2,463
5
4,927
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` if __name__ == "__main__": co = [] while True: a, op, b = input().split() if op == '?': break co.append([int(a),op,int(b)]) for i in co: if i[1] == '+': print(i[0]+i[2]) elif i[2] == '-': print(i[0]-i[2]) elif i[2] == '/': print(i[0]/i[2]) else: print(i[0]*i[2]) ```
instruction
0
2,464
5
4,928
No
output
1
2,464
5
4,929
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` import sys while True: x = sys.stdin.readline().strip() if "?" in x: break else: a = list(x.split()) x = int(a[0]) y = int(a[2]) if a[1] == "+": print(x + y) elif a[1] == "-": print(x - y) elif a[1] == "*": print(x * y) elif a[1] == "/": print(x / y) ```
instruction
0
2,465
5
4,930
No
output
1
2,465
5
4,931
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Write a program which reads two integers a, b and an operator op, and then prints the value of a op b. The operator op is '+', '-', '*' or '/' (sum, difference, product or quotient). The division should truncate any fractional part. Constraints * 0 ≀ a, b ≀ 20000 * No divisions by zero are given. Input The input consists of multiple datasets. Each dataset is given in the following format. a op b The input ends with a dataset where op = '?'. Your program should not process for this dataset. Output For each dataset, print the value in a line. Example Input 1 + 2 56 - 18 13 * 2 100 / 10 27 + 81 0 ? 0 Output 3 38 26 10 108 Submitted Solution: ``` while True: a,op,b=input().split() a=int(a) b=int(b) op=str(op if op=("+"): print(a+b) elif op=("-"): print(a-b) elif op=("*"): print(a*b) elif op=("/"): print(a/b) elif op=("?"): break ~ ```
instruction
0
2,466
5
4,932
No
output
1
2,466
5
4,933
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let's write all the positive integer numbers one after another from 1 without any delimiters (i.e. as a single string). It will be the infinite sequence starting with 123456789101112131415161718192021222324252627282930313233343536... Your task is to print the k-th digit of this sequence. Input The first and only line contains integer k (1 ≀ k ≀ 10000) β€” the position to process (1-based index). Output Print the k-th digit of the resulting infinite sequence. Examples Input 7 Output 7 Input 21 Output 5 Submitted Solution: ``` k = int(input()) x = [] i=0 flag = True while flag==True: x.append(9*(10**i)) i = i+1 if sum(x) >= k : flag = False p = len(x) base = sum(x) - x[p-1] r = k - base d = -((-r)//p) dd = r%p if dd==0: dd=p number = str(base + d) digit = number[dd-1] # print(number) print(digit) ```
instruction
0
2,538
5
5,076
No
output
1
2,538
5
5,077
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is the easy version of the problem. The only difference is that in this version k = 0. There is an array a_1, a_2, …, a_n of n positive integers. You should divide it into a minimal number of continuous segments, such that in each segment there are no two numbers (on different positions), whose product is a perfect square. Moreover, it is allowed to do at most k such operations before the division: choose a number in the array and change its value to any positive integer. But in this version k = 0, so it is not important. What is the minimum number of continuous segments you should use if you will make changes optimally? Input The first line contains a single integer t (1 ≀ t ≀ 1000) β€” the number of test cases. The first line of each test case contains two integers n, k (1 ≀ n ≀ 2 β‹… 10^5, k = 0). The second line of each test case contains n integers a_1, a_2, …, a_n (1 ≀ a_i ≀ 10^7). It's guaranteed that the sum of n over all test cases does not exceed 2 β‹… 10^5. Output For each test case print a single integer β€” the answer to the problem. Example Input 3 5 0 18 6 2 4 1 5 0 6 8 1 24 8 1 0 1 Output 3 2 1 Note In the first test case the division may be as follows: * [18, 6] * [2, 4] * [1] Submitted Solution: ``` import sys import math from collections import defaultdict,Counter,deque # input=sys.stdin.readline # def print(x): # sys.stdout.write(str(x)+"\n") import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") # sys.stdout=open("CP2/output.txt",'w') # sys.stdin=open("CP2/input.txt",'r') # mod=pow(10,9)+7 t=int(input()) for i in range(t): n,k=map(int,input().split()) a=list(map(int,input().split())) cur=set() ans=1 for j in a: s=[] c=0 while j%2==0: j//=2 c+=1 c%=2 if c: s.append(2) c=0 for k in range(3,int(math.sqrt(j))+1,2): while j%k==0: c+=1 j//=k c%=2 if c: s.append(k) c=0 if j>2: s.append(j) s=tuple(s) if s in cur: ans+=1 cur=set() cur.add(s) print(ans) ```
instruction
0
2,664
5
5,328
Yes
output
1
2,664
5
5,329
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n integers a1, a2, ..., an. A sequence of integers x1, x2, ..., xk is called a "xor-sequence" if for every 1 ≀ i ≀ k - 1 the number of ones in the binary representation of the number xi <image> xi + 1's is a multiple of 3 and <image> for all 1 ≀ i ≀ k. The symbol <image> is used for the binary exclusive or operation. How many "xor-sequences" of length k exist? Output the answer modulo 109 + 7. Note if a = [1, 1] and k = 1 then the answer is 2, because you should consider the ones from a as different. Input The first line contains two integers n and k (1 ≀ n ≀ 100, 1 ≀ k ≀ 1018) β€” the number of given integers and the length of the "xor-sequences". The second line contains n integers ai (0 ≀ ai ≀ 1018). Output Print the only integer c β€” the number of "xor-sequences" of length k modulo 109 + 7. Examples Input 5 2 15 1 2 4 8 Output 13 Input 5 1 15 1 2 4 8 Output 5 Submitted Solution: ``` from itertools import combinations n , k =map(int,input().split()) l = list(map(int,input().split())) sol = 0 if k==1: print(n) exit(0) for comb in combinations(l,k): #print(comb) sol+=1 for j in range(len(comb)-1): #print("str(seq[j]^seq[j+1]) ",str(bin(comb[j]^comb[j+1]))) if str(bin(comb[j]^comb[j+1])).count("1") % 3 == 0: sol+=1 print(sol-1) ```
instruction
0
2,952
5
5,904
No
output
1
2,952
5
5,905
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n integers a1, a2, ..., an. A sequence of integers x1, x2, ..., xk is called a "xor-sequence" if for every 1 ≀ i ≀ k - 1 the number of ones in the binary representation of the number xi <image> xi + 1's is a multiple of 3 and <image> for all 1 ≀ i ≀ k. The symbol <image> is used for the binary exclusive or operation. How many "xor-sequences" of length k exist? Output the answer modulo 109 + 7. Note if a = [1, 1] and k = 1 then the answer is 2, because you should consider the ones from a as different. Input The first line contains two integers n and k (1 ≀ n ≀ 100, 1 ≀ k ≀ 1018) β€” the number of given integers and the length of the "xor-sequences". The second line contains n integers ai (0 ≀ ai ≀ 1018). Output Print the only integer c β€” the number of "xor-sequences" of length k modulo 109 + 7. Examples Input 5 2 15 1 2 4 8 Output 13 Input 5 1 15 1 2 4 8 Output 5 Submitted Solution: ``` from itertools import combinations n , k =map(int,input().split()) l = list(map(int,input().split())) sol = 0 if k==1: print(n) exit(0) for comb in combinations(l,k): print(comb) sol+=1 for j in range(len(comb)-1): print("str(seq[j]^seq[j+1]) ",str(bin(comb[j]^comb[j+1]))) if str(bin(comb[j]^comb[j+1])).count("1") % 3 == 0: sol+=1 print(sol-1) ```
instruction
0
2,953
5
5,906
No
output
1
2,953
5
5,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n integers a1, a2, ..., an. A sequence of integers x1, x2, ..., xk is called a "xor-sequence" if for every 1 ≀ i ≀ k - 1 the number of ones in the binary representation of the number xi <image> xi + 1's is a multiple of 3 and <image> for all 1 ≀ i ≀ k. The symbol <image> is used for the binary exclusive or operation. How many "xor-sequences" of length k exist? Output the answer modulo 109 + 7. Note if a = [1, 1] and k = 1 then the answer is 2, because you should consider the ones from a as different. Input The first line contains two integers n and k (1 ≀ n ≀ 100, 1 ≀ k ≀ 1018) β€” the number of given integers and the length of the "xor-sequences". The second line contains n integers ai (0 ≀ ai ≀ 1018). Output Print the only integer c β€” the number of "xor-sequences" of length k modulo 109 + 7. Examples Input 5 2 15 1 2 4 8 Output 13 Input 5 1 15 1 2 4 8 Output 5 Submitted Solution: ``` n, k = map(int, input().split()) a = list(map(int, input().split())) a = list(set(a)) n = len(a) q = [[0 for i in range(n)] for j in range(n)] for i in range(n): for j in range(n): if divmod(bin(a[i] ^ a[j]).count("1"), 3)[1] == 0: q[i][j] = 1 res = [[0 for i in range(n)] for j in range(n)] tmp = [[0 for i in range(n)] for j in range(n)] for i in range(n): res[i][i] = 1 k -= 1 while k > 0: if k % 2 == 1: for i in range(n): for j in range(n): tmp[i][j] = 0 for i in range(n): for j in range(n): for z in range(n): tmp[i][j] = divmod(tmp[i][j] + res[i][z] * q[z][j], 1000000007)[1] for i in range(n): for j in range(n): res[i][j] = tmp[i][j] for i in range(n): for j in range(n): tmp[i][j] = 0 for i in range(n): for j in range(n): for z in range(n): tmp[i][j] = divmod(tmp[i][j] + q[i][z] * q[z][j], 1000000007)[1] for i in range(n): for j in range(n): q[i][j] = tmp[i][j] k = divmod(k, 2)[0] ans = 0 for i in range(n): for j in range(n): ans += res[i][j] print(divmod(ans, 1000000007)[1]) ```
instruction
0
2,954
5
5,908
No
output
1
2,954
5
5,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n integers a1, a2, ..., an. A sequence of integers x1, x2, ..., xk is called a "xor-sequence" if for every 1 ≀ i ≀ k - 1 the number of ones in the binary representation of the number xi <image> xi + 1's is a multiple of 3 and <image> for all 1 ≀ i ≀ k. The symbol <image> is used for the binary exclusive or operation. How many "xor-sequences" of length k exist? Output the answer modulo 109 + 7. Note if a = [1, 1] and k = 1 then the answer is 2, because you should consider the ones from a as different. Input The first line contains two integers n and k (1 ≀ n ≀ 100, 1 ≀ k ≀ 1018) β€” the number of given integers and the length of the "xor-sequences". The second line contains n integers ai (0 ≀ ai ≀ 1018). Output Print the only integer c β€” the number of "xor-sequences" of length k modulo 109 + 7. Examples Input 5 2 15 1 2 4 8 Output 13 Input 5 1 15 1 2 4 8 Output 5 Submitted Solution: ``` MOD = (10**9) + 7 def mulmat(A, B): n = len(A) C = [[0 for i in range(n)] for j in range(n)] for i in range(n): for j in range(n): for k in range(n): C[i][j] += A[i][k] * B[k][j] C[i][j] %= MOD return C n, k = [int(x) for x in input().split()] L = [int(x) for x in input().split()] adjm = [[0 for i in range(n)] for j in range(n)] for i in range(n): adjm[i][i] = 1 for j in range(n): a = L[i] b = L[j] c = a^b cnt = 0 while c: cnt += 1 c = c ^ (c & -c) if cnt%3 == 0: adjm[i][j] = 1 k -= 1 I = [[1 if i==j else 0 for i in range(n)] for j in range(n)] while k: if k&1: I = mulmat(I, adjm) k >>= 1 adjm = mulmat(adjm, adjm) print(sum([sum(x) for x in I])) ```
instruction
0
2,955
5
5,910
No
output
1
2,955
5
5,911
Provide tags and a correct Python 3 solution for this coding contest problem. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4
instruction
0
2,990
5
5,980
Tags: *special, implementation Correct Solution: ``` input() arr = list(map(int, input().split())) print(max(arr) ^ arr[-1]) ```
output
1
2,990
5
5,981
Provide tags and a correct Python 3 solution for this coding contest problem. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4
instruction
0
2,992
5
5,984
Tags: *special, implementation Correct Solution: ``` n = int(input()) #n, m = map(int, input().split()) #s = input() c = list(map(int, input().split())) print(max(c) ^ c[-1]) ```
output
1
2,992
5
5,985
Provide tags and a correct Python 3 solution for this coding contest problem. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4
instruction
0
2,994
5
5,988
Tags: *special, implementation Correct Solution: ``` N = int( input() ) A = list( map( int, input().split() ) ) print( max( A ) ^ A[ N - 1 ] ) ```
output
1
2,994
5
5,989
Provide tags and a correct Python 3 solution for this coding contest problem. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4
instruction
0
2,995
5
5,990
Tags: *special, implementation Correct Solution: ``` input() a = list(map(int, input().split())) print(max(a) ^ a[-1]) ```
output
1
2,995
5
5,991
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` #!/usr/bin/env python3 def main(): try: while True: input() a = list(map(int, input().split())) print(max(a) ^ a[-1]) except EOFError: pass main() ```
instruction
0
2,996
5
5,992
Yes
output
1
2,996
5
5,993
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` n = int(input()) a = list(map(int,input().split()))[:n] print(max(a) ^ a[-1]) ```
instruction
0
2,997
5
5,994
Yes
output
1
2,997
5
5,995
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` n=int(input()) L=[int(_) for _ in input().split()] print(L[n-1]^max(L)) ```
instruction
0
2,998
5
5,996
Yes
output
1
2,998
5
5,997
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` _ = int(input()) a = [int(i) for i in input().split()] print(max(a) ^ a[-1]) ```
instruction
0
2,999
5
5,998
Yes
output
1
2,999
5
5,999
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` n = int(input()) if (n==3): print(27); else: print(2) ```
instruction
0
3,000
5
6,000
No
output
1
3,000
5
6,001
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` input() a=list(map(int, input().split())) for x in range(0, 100): if x not in a: print(x) exit() ```
instruction
0
3,001
5
6,002
No
output
1
3,001
5
6,003
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` import sys n = int(input()) a = [int(x) for x in input().split()] for i in range(1, n + 2): if i not in a: print(i) sys.exit(0) ```
instruction
0
3,002
5
6,004
No
output
1
3,002
5
6,005
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. DO YOU EXPECT ME TO FIND THIS OUT? WHAT BASE AND/XOR LANGUAGE INCLUDES string? DON'T BYTE OF MORE THAN YOU CAN CHEW YOU CAN ONLY DISTORT THE LARGEST OF MATHEMATICS SO FAR SAYING "ABRACADABRA" WITHOUT A MAGIC AND WON'T DO YOU ANY GOOD THE LAST STACK RUPTURES. ALL DIE. OH, THE EMBARRASSMENT! I HAVE NO ARRAY AND I MUST SCREAM ELEMENTS MAY NOT BE STORED IN WEST HYPERSPACE Input The first line of input data contains a single integer n (1 ≀ n ≀ 10). The second line of input data contains n space-separated integers ai (1 ≀ ai ≀ 11). Output Output a single integer. Example Input 4 2 5 3 1 Output 4 Submitted Solution: ``` a=int(input()) s=list(map(int,input().split())) d=min(s) f=max(s) for i in range(1,len(s)): if s.count(d+i)!=1: print(d+i) break ```
instruction
0
3,003
5
6,006
No
output
1
3,003
5
6,007
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of integers of length n and integer number k. You should print any integer number x in the range of [1; 10^9] (i.e. 1 ≀ x ≀ 10^9) such that exactly k elements of given sequence are less than or equal to x. Note that the sequence can contain equal elements. If there is no such x, print "-1" (without quotes). Input The first line of the input contains integer numbers n and k (1 ≀ n ≀ 2 β‹… 10^5, 0 ≀ k ≀ n). The second line of the input contains n integer numbers a_1, a_2, ..., a_n (1 ≀ a_i ≀ 10^9) β€” the sequence itself. Output Print any integer number x from range [1; 10^9] such that exactly k elements of given sequence is less or equal to x. If there is no such x, print "-1" (without quotes). Examples Input 7 4 3 7 5 1 10 3 20 Output 6 Input 7 2 3 7 5 1 10 3 20 Output -1 Note In the first example 5 is also a valid answer because the elements with indices [1, 3, 4, 6] is less than or equal to 5 and obviously less than or equal to 6. In the second example you cannot choose any number that only 2 elements of the given sequence will be less than or equal to this number because 3 elements of the given sequence will be also less than or equal to this number. Submitted Solution: ``` a = input() b = input() a = list(map(int, a.split())) b = list(map(int, b.split())) n=a[0] k=a[1] b.sort() if k==0: if b[0]!=1: res = 1 else: res = -1 elif k==len(b): res = b[-1] elif b[k-1]==b[k]: res = -1 else: res = b[k-1] print(res) ```
instruction
0
3,069
5
6,138
Yes
output
1
3,069
5
6,139
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of integers of length n and integer number k. You should print any integer number x in the range of [1; 10^9] (i.e. 1 ≀ x ≀ 10^9) such that exactly k elements of given sequence are less than or equal to x. Note that the sequence can contain equal elements. If there is no such x, print "-1" (without quotes). Input The first line of the input contains integer numbers n and k (1 ≀ n ≀ 2 β‹… 10^5, 0 ≀ k ≀ n). The second line of the input contains n integer numbers a_1, a_2, ..., a_n (1 ≀ a_i ≀ 10^9) β€” the sequence itself. Output Print any integer number x from range [1; 10^9] such that exactly k elements of given sequence is less or equal to x. If there is no such x, print "-1" (without quotes). Examples Input 7 4 3 7 5 1 10 3 20 Output 6 Input 7 2 3 7 5 1 10 3 20 Output -1 Note In the first example 5 is also a valid answer because the elements with indices [1, 3, 4, 6] is less than or equal to 5 and obviously less than or equal to 6. In the second example you cannot choose any number that only 2 elements of the given sequence will be less than or equal to this number because 3 elements of the given sequence will be also less than or equal to this number. Submitted Solution: ``` n,k=map(int,input().split()) a=list(map(int,input().split())) a.sort() if(k==0): if(a[0]>=2): print(a[0]-1) else: print(-1) elif(n==k): print(a[-1]) else: if(a[k-1]==a[k]): print("-1") else: print(a[k-1]) ```
instruction
0
3,070
5
6,140
Yes
output
1
3,070
5
6,141
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of integers of length n and integer number k. You should print any integer number x in the range of [1; 10^9] (i.e. 1 ≀ x ≀ 10^9) such that exactly k elements of given sequence are less than or equal to x. Note that the sequence can contain equal elements. If there is no such x, print "-1" (without quotes). Input The first line of the input contains integer numbers n and k (1 ≀ n ≀ 2 β‹… 10^5, 0 ≀ k ≀ n). The second line of the input contains n integer numbers a_1, a_2, ..., a_n (1 ≀ a_i ≀ 10^9) β€” the sequence itself. Output Print any integer number x from range [1; 10^9] such that exactly k elements of given sequence is less or equal to x. If there is no such x, print "-1" (without quotes). Examples Input 7 4 3 7 5 1 10 3 20 Output 6 Input 7 2 3 7 5 1 10 3 20 Output -1 Note In the first example 5 is also a valid answer because the elements with indices [1, 3, 4, 6] is less than or equal to 5 and obviously less than or equal to 6. In the second example you cannot choose any number that only 2 elements of the given sequence will be less than or equal to this number because 3 elements of the given sequence will be also less than or equal to this number. Submitted Solution: ``` n, k = (int(x) for x in input().split()) s = list(map(int, input().split())) ss = sorted(s) if k == 0: print(-1 if ss[0] == 1 else 1) exit() if k == n: print(ss[-1]) exit() if ss[k-1] != ss[k]: print(ss[k-1]) else: print(-1) ```
instruction
0
3,071
5
6,142
Yes
output
1
3,071
5
6,143
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of integers of length n and integer number k. You should print any integer number x in the range of [1; 10^9] (i.e. 1 ≀ x ≀ 10^9) such that exactly k elements of given sequence are less than or equal to x. Note that the sequence can contain equal elements. If there is no such x, print "-1" (without quotes). Input The first line of the input contains integer numbers n and k (1 ≀ n ≀ 2 β‹… 10^5, 0 ≀ k ≀ n). The second line of the input contains n integer numbers a_1, a_2, ..., a_n (1 ≀ a_i ≀ 10^9) β€” the sequence itself. Output Print any integer number x from range [1; 10^9] such that exactly k elements of given sequence is less or equal to x. If there is no such x, print "-1" (without quotes). Examples Input 7 4 3 7 5 1 10 3 20 Output 6 Input 7 2 3 7 5 1 10 3 20 Output -1 Note In the first example 5 is also a valid answer because the elements with indices [1, 3, 4, 6] is less than or equal to 5 and obviously less than or equal to 6. In the second example you cannot choose any number that only 2 elements of the given sequence will be less than or equal to this number because 3 elements of the given sequence will be also less than or equal to this number. Submitted Solution: ``` a = input().split(" ") n, k = int(a[0]), int(a[1]) l1 = input().split(" ") l2 = [] for item in l1: l2.append(int(item)) l2.sort() # print(f"n == {n}, k == {k}") # print(l2) if k == n or k == 0: print(-1) exit() if l2[k-1] != l2[k]: print(l2[k-1]+1) else: print(-1) ```
instruction
0
3,072
5
6,144
No
output
1
3,072
5
6,145
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of integers of length n and integer number k. You should print any integer number x in the range of [1; 10^9] (i.e. 1 ≀ x ≀ 10^9) such that exactly k elements of given sequence are less than or equal to x. Note that the sequence can contain equal elements. If there is no such x, print "-1" (without quotes). Input The first line of the input contains integer numbers n and k (1 ≀ n ≀ 2 β‹… 10^5, 0 ≀ k ≀ n). The second line of the input contains n integer numbers a_1, a_2, ..., a_n (1 ≀ a_i ≀ 10^9) β€” the sequence itself. Output Print any integer number x from range [1; 10^9] such that exactly k elements of given sequence is less or equal to x. If there is no such x, print "-1" (without quotes). Examples Input 7 4 3 7 5 1 10 3 20 Output 6 Input 7 2 3 7 5 1 10 3 20 Output -1 Note In the first example 5 is also a valid answer because the elements with indices [1, 3, 4, 6] is less than or equal to 5 and obviously less than or equal to 6. In the second example you cannot choose any number that only 2 elements of the given sequence will be less than or equal to this number because 3 elements of the given sequence will be also less than or equal to this number. Submitted Solution: ``` def check(k,j): list1=[] for x in j: list1.append(int(x)) list1.sort() a=list1[k-1] if a==list1[k]: return -1 else: return a i=input().split() n=int(i[0]) k=int(i[1]) j=input().split() print(check(k,j)) ```
instruction
0
3,073
5
6,146
No
output
1
3,073
5
6,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of integers of length n and integer number k. You should print any integer number x in the range of [1; 10^9] (i.e. 1 ≀ x ≀ 10^9) such that exactly k elements of given sequence are less than or equal to x. Note that the sequence can contain equal elements. If there is no such x, print "-1" (without quotes). Input The first line of the input contains integer numbers n and k (1 ≀ n ≀ 2 β‹… 10^5, 0 ≀ k ≀ n). The second line of the input contains n integer numbers a_1, a_2, ..., a_n (1 ≀ a_i ≀ 10^9) β€” the sequence itself. Output Print any integer number x from range [1; 10^9] such that exactly k elements of given sequence is less or equal to x. If there is no such x, print "-1" (without quotes). Examples Input 7 4 3 7 5 1 10 3 20 Output 6 Input 7 2 3 7 5 1 10 3 20 Output -1 Note In the first example 5 is also a valid answer because the elements with indices [1, 3, 4, 6] is less than or equal to 5 and obviously less than or equal to 6. In the second example you cannot choose any number that only 2 elements of the given sequence will be less than or equal to this number because 3 elements of the given sequence will be also less than or equal to this number. Submitted Solution: ``` n, k = map(int, input().split()) nbs = sorted(list(map(int, input().split()))) if k == n: print(nbs[n]) else: if nbs[k-1] < nbs[k]: print(nbs[k-1]) else: print(-1) ```
instruction
0
3,074
5
6,148
No
output
1
3,074
5
6,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of integers of length n and integer number k. You should print any integer number x in the range of [1; 10^9] (i.e. 1 ≀ x ≀ 10^9) such that exactly k elements of given sequence are less than or equal to x. Note that the sequence can contain equal elements. If there is no such x, print "-1" (without quotes). Input The first line of the input contains integer numbers n and k (1 ≀ n ≀ 2 β‹… 10^5, 0 ≀ k ≀ n). The second line of the input contains n integer numbers a_1, a_2, ..., a_n (1 ≀ a_i ≀ 10^9) β€” the sequence itself. Output Print any integer number x from range [1; 10^9] such that exactly k elements of given sequence is less or equal to x. If there is no such x, print "-1" (without quotes). Examples Input 7 4 3 7 5 1 10 3 20 Output 6 Input 7 2 3 7 5 1 10 3 20 Output -1 Note In the first example 5 is also a valid answer because the elements with indices [1, 3, 4, 6] is less than or equal to 5 and obviously less than or equal to 6. In the second example you cannot choose any number that only 2 elements of the given sequence will be less than or equal to this number because 3 elements of the given sequence will be also less than or equal to this number. Submitted Solution: ``` f = input().split(" ") n = int(f[0]) k = int(f[1]) a = input().split(" ") for i in range(0, n): a[i] = int(a[i]) a_updated = sorted(a) if n <= k: print(a_updated[-1]+1) else: if k != 0 and len(a_updated) > 1: if a_updated[k-1] == a_updated[k]: print(-1) else: print(a_updated[k-1]) elif k != 0 and len(a_updated) == 1: if a_updated[0] != 1: print(a_updated[0]) else: print(-1) elif k == 0: if a_updated[0] != 1: print(a_updated[0]-1) else: print(-1) else: print(a_updated[k-1]) ```
instruction
0
3,075
5
6,150
No
output
1
3,075
5
6,151
Provide a correct Python 3 solution for this coding contest problem. There is an integer sequence A of length N whose values are unknown. Given is an integer sequence B of length N-1 which is known to satisfy the following: B_i \geq \max(A_i, A_{i+1}) Find the maximum possible sum of the elements of A. Constraints * All values in input are integers. * 2 \leq N \leq 100 * 0 \leq B_i \leq 10^5 Input Input is given from Standard Input in the following format: N B_1 B_2 ... B_{N-1} Output Print the maximum possible sum of the elements of A. Examples Input 3 2 5 Output 9 Input 2 3 Output 6 Input 6 0 153 10 10 23 Output 53
instruction
0
3,118
5
6,236
"Correct Solution: ``` n = int(input()) b = [int(i) for i in input().split()] a = [min(b[i], b[i + 1]) for i in range(n - 2)] print(sum(a) + b[0] + b[-1]) ```
output
1
3,118
5
6,237
Provide a correct Python 3 solution for this coding contest problem. There is an integer sequence A of length N whose values are unknown. Given is an integer sequence B of length N-1 which is known to satisfy the following: B_i \geq \max(A_i, A_{i+1}) Find the maximum possible sum of the elements of A. Constraints * All values in input are integers. * 2 \leq N \leq 100 * 0 \leq B_i \leq 10^5 Input Input is given from Standard Input in the following format: N B_1 B_2 ... B_{N-1} Output Print the maximum possible sum of the elements of A. Examples Input 3 2 5 Output 9 Input 2 3 Output 6 Input 6 0 153 10 10 23 Output 53
instruction
0
3,119
5
6,238
"Correct Solution: ``` N=int(input()) *B, = map(int,input().split()) ans = B[0] + B[-1] + sum(min(b0,b1) for b0,b1 in zip(B[:-1],B[1:])) print(ans) ```
output
1
3,119
5
6,239
Provide a correct Python 3 solution for this coding contest problem. There is an integer sequence A of length N whose values are unknown. Given is an integer sequence B of length N-1 which is known to satisfy the following: B_i \geq \max(A_i, A_{i+1}) Find the maximum possible sum of the elements of A. Constraints * All values in input are integers. * 2 \leq N \leq 100 * 0 \leq B_i \leq 10^5 Input Input is given from Standard Input in the following format: N B_1 B_2 ... B_{N-1} Output Print the maximum possible sum of the elements of A. Examples Input 3 2 5 Output 9 Input 2 3 Output 6 Input 6 0 153 10 10 23 Output 53
instruction
0
3,120
5
6,240
"Correct Solution: ``` input() b = list(map(int, input().split())) print(sum(map(min, [b[0]] + b, b + [b[-1]]))) ```
output
1
3,120
5
6,241
Provide a correct Python 3 solution for this coding contest problem. There is an integer sequence A of length N whose values are unknown. Given is an integer sequence B of length N-1 which is known to satisfy the following: B_i \geq \max(A_i, A_{i+1}) Find the maximum possible sum of the elements of A. Constraints * All values in input are integers. * 2 \leq N \leq 100 * 0 \leq B_i \leq 10^5 Input Input is given from Standard Input in the following format: N B_1 B_2 ... B_{N-1} Output Print the maximum possible sum of the elements of A. Examples Input 3 2 5 Output 9 Input 2 3 Output 6 Input 6 0 153 10 10 23 Output 53
instruction
0
3,121
5
6,242
"Correct Solution: ``` N=int(input()) S=list(map(int,input().split())) ans=0 ans+=S[0] for i in range(N-2): ans+=min(S[i],S[i+1]) ans+=S[-1] print(ans) ```
output
1
3,121
5
6,243