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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is an experienced participant in Codehorses programming contests. Now he wants to become a problemsetter. He sent to the coordinator a set of n problems. Each problem has it's quality, the quality of the i-th problem is ai (ai can be positive, negative or equal to zero). The problems are ordered by expected difficulty, but the difficulty is not related to the quality in any way. The easiest problem has index 1, the hardest problem has index n. The coordinator's mood is equal to q now. After reading a problem, the mood changes by it's quality. It means that after the coordinator reads a problem with quality b, the value b is added to his mood. The coordinator always reads problems one by one from the easiest to the hardest, it's impossible to change the order of the problems. If after reading some problem the coordinator's mood becomes negative, he immediately stops reading and rejects the problemset. Polycarp wants to remove the minimum number of problems from his problemset to make the coordinator's mood non-negative at any moment of time. Polycarp is not sure about the current coordinator's mood, but he has m guesses "the current coordinator's mood q = bi". For each of m guesses, find the minimum number of problems Polycarp needs to remove so that the coordinator's mood will always be greater or equal to 0 while he reads problems from the easiest of the remaining problems to the hardest. Input The first line of input contains two integers n and m (1 ≤ n ≤ 750, 1 ≤ m ≤ 200 000) — the number of problems in the problemset and the number of guesses about the current coordinator's mood. The second line of input contains n integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109) — the qualities of the problems in order of increasing difficulty. The third line of input contains m integers b1, b2, ..., bm (0 ≤ bi ≤ 1015) — the guesses of the current coordinator's mood q. Output Print m lines, in i-th line print single integer — the answer to the problem with q = bi. Example Input 6 3 8 -5 -4 1 -7 4 0 7 3 Output 2 0 1 Submitted Solution: ``` n, m = map(int, input().split()) a = list(map(int, input().split())) b = list(map(int, input().split())) for i in range(0,m): start = b[i] k = 0 i = 0 tmp = a[:] while i < len(tmp): start += tmp[i] if start >= 0: i += 1 else: index = tmp[0:i+1].index(min(tmp[0:i+1])) #start-=tmp.pop(index) start -= tmp[index] tmp[index] = 1 k += 1 print(k) ```
instruction
0
53,536
24
107,072
No
output
1
53,536
24
107,073
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is an experienced participant in Codehorses programming contests. Now he wants to become a problemsetter. He sent to the coordinator a set of n problems. Each problem has it's quality, the quality of the i-th problem is ai (ai can be positive, negative or equal to zero). The problems are ordered by expected difficulty, but the difficulty is not related to the quality in any way. The easiest problem has index 1, the hardest problem has index n. The coordinator's mood is equal to q now. After reading a problem, the mood changes by it's quality. It means that after the coordinator reads a problem with quality b, the value b is added to his mood. The coordinator always reads problems one by one from the easiest to the hardest, it's impossible to change the order of the problems. If after reading some problem the coordinator's mood becomes negative, he immediately stops reading and rejects the problemset. Polycarp wants to remove the minimum number of problems from his problemset to make the coordinator's mood non-negative at any moment of time. Polycarp is not sure about the current coordinator's mood, but he has m guesses "the current coordinator's mood q = bi". For each of m guesses, find the minimum number of problems Polycarp needs to remove so that the coordinator's mood will always be greater or equal to 0 while he reads problems from the easiest of the remaining problems to the hardest. Input The first line of input contains two integers n and m (1 ≤ n ≤ 750, 1 ≤ m ≤ 200 000) — the number of problems in the problemset and the number of guesses about the current coordinator's mood. The second line of input contains n integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109) — the qualities of the problems in order of increasing difficulty. The third line of input contains m integers b1, b2, ..., bm (0 ≤ bi ≤ 1015) — the guesses of the current coordinator's mood q. Output Print m lines, in i-th line print single integer — the answer to the problem with q = bi. Example Input 6 3 8 -5 -4 1 -7 4 0 7 3 Output 2 0 1 Submitted Solution: ``` def check(plank, points): summ = 0 for point in points: summ += point if plank + summ < 0: return False return True _ = input() inpt = input() tasks = list(map(lambda x: int(x), str(inpt).split(" "))) alt = list(tasks) moods = list(map(lambda x: int(x), str(input()).split(" "))) alt.sort() for tsk in range(len(alt)): if alt[tsk] > 0: b = alt[tsk:] b.reverse() alt[tsk:] = b break for mood in moods: count = 0 tasks = list(map(lambda x: int(x), str(inpt).split(" "))) if check(mood, tasks): print(0) else: for i in range(len(tasks)): count += 1 try: tasks.remove(alt[0]) except: print(count) break del alt[0] if check(mood, tasks): print(count) break ```
instruction
0
53,537
24
107,074
No
output
1
53,537
24
107,075
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is an experienced participant in Codehorses programming contests. Now he wants to become a problemsetter. He sent to the coordinator a set of n problems. Each problem has it's quality, the quality of the i-th problem is ai (ai can be positive, negative or equal to zero). The problems are ordered by expected difficulty, but the difficulty is not related to the quality in any way. The easiest problem has index 1, the hardest problem has index n. The coordinator's mood is equal to q now. After reading a problem, the mood changes by it's quality. It means that after the coordinator reads a problem with quality b, the value b is added to his mood. The coordinator always reads problems one by one from the easiest to the hardest, it's impossible to change the order of the problems. If after reading some problem the coordinator's mood becomes negative, he immediately stops reading and rejects the problemset. Polycarp wants to remove the minimum number of problems from his problemset to make the coordinator's mood non-negative at any moment of time. Polycarp is not sure about the current coordinator's mood, but he has m guesses "the current coordinator's mood q = bi". For each of m guesses, find the minimum number of problems Polycarp needs to remove so that the coordinator's mood will always be greater or equal to 0 while he reads problems from the easiest of the remaining problems to the hardest. Input The first line of input contains two integers n and m (1 ≤ n ≤ 750, 1 ≤ m ≤ 200 000) — the number of problems in the problemset and the number of guesses about the current coordinator's mood. The second line of input contains n integers a1, a2, ..., an ( - 109 ≤ ai ≤ 109) — the qualities of the problems in order of increasing difficulty. The third line of input contains m integers b1, b2, ..., bm (0 ≤ bi ≤ 1015) — the guesses of the current coordinator's mood q. Output Print m lines, in i-th line print single integer — the answer to the problem with q = bi. Example Input 6 3 8 -5 -4 1 -7 4 0 7 3 Output 2 0 1 Submitted Solution: ``` n, m = list(map(int,input().split())) spikes = [] a = list(map(int,input().split())) s = 0 for i in range(len(a)): s += a[i] if s < 0: spikes.append(s) b = list(map(int,input().split())) for i in b: r = 0 delta = 0 for j in spikes: if i + j + delta < 0: r += 1 delta -= j print(r) ```
instruction
0
53,538
24
107,076
No
output
1
53,538
24
107,077
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,893
24
109,786
Tags: brute force, strings, two pointers Correct Solution: ``` t = int(input()) for i in range(t): s = input() ans = "" j=0 while(j<len(s)): if(j==len(s)-1): if s[j] not in ans: ans += s[j] break elif (s[j]==s[j+1]): j+=2 continue else: if s[j] not in ans: ans += s[j] j+=1 ans = sorted(list(set(ans))) ans = ''.join(ans) print(ans) ```
output
1
54,893
24
109,787
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,894
24
109,788
Tags: brute force, strings, two pointers Correct Solution: ``` def broken_keyboard(s1): if len(s1) == 1: return s1 size = len(s1) letters = [] count = 0 for i in range(size): if(i == size-1) or (s1[i] != s1[i+1]): count += 1 if(count % 2 != 0): letters.append(s1[i]) count = 0 else: count += 1 letters = set(letters) letters = list(letters) letters.sort() result = "" return result.join(letters) t = int(input()) for i in range(t): s1 = input() print(broken_keyboard(s1)) ```
output
1
54,894
24
109,789
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,895
24
109,790
Tags: brute force, strings, two pointers Correct Solution: ``` for item in [0]*int(input()): x = input() d = sorted(set(x)) answer = '' for tiem in d: if x.count(tiem)>2*x.count(tiem+tiem): answer = answer+tiem print(answer) ```
output
1
54,895
24
109,791
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,896
24
109,792
Tags: brute force, strings, two pointers Correct Solution: ``` t = int(input()) def run_length_compress(string): """文字列をランレングス圧縮する 例) string = "aabccaaabb" -> [(2, a), (1, b), (2, c), (3, a), (2, b)] """ string = string + "@" # string中に絶対に現れない文字を番兵とする n = len(string) begin = 0 end = 1 cnt = 1 ans = [] while True: if end >= n: break if string[begin] == string[end]: end += 1 cnt += 1 else: ans.append((cnt, string[begin])) begin = end end = begin + 1 cnt = 1 return ans for _ in range(t): s = input() r = run_length_compress(s) memo = {} for i, char in r: if i %2 == 1: memo[char] = 1 ans = [] for i in memo: ans.append(i) ans = sorted(ans) print("".join(ans)) ```
output
1
54,896
24
109,793
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,897
24
109,794
Tags: brute force, strings, two pointers Correct Solution: ``` n = int(input()) for _ in range(n): s = input() l = len(s) if l == 1: print(s) continue inx = 0 ones = set() while inx < l-1: if s[inx] == s[inx+1]: inx += 1 else: ones.update(s[inx]) inx+=1 if inx == l-1: ones.update(s[-1]) print(''.join(sorted(ones))) ```
output
1
54,897
24
109,795
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,898
24
109,796
Tags: brute force, strings, two pointers Correct Solution: ``` for _ in range(int(input())): s = input() i = 0 correct = set() while i < len(s): if i == len(s) - 1: correct.add(s[i]) break if s[i] == s[i+1]: i += 2 continue correct.add(s[i]) i += 1 r = list(correct) r.sort() print("".join(r)) ```
output
1
54,898
24
109,797
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,899
24
109,798
Tags: brute force, strings, two pointers Correct Solution: ``` t=int(input()) while t: t-=1 s=input() i=0 if(len(s)==1): print(s) continue ans=[] while(i<len(s)-1): if(s[i] != s[i+1]): ans+=[s[i]] i+=1 else: i+=2 if(i==len(s)-1): ans+=[s[i]] #ans.sort() print("".join(sorted(set(ans)))) ```
output
1
54,899
24
109,799
Provide tags and a correct Python 3 solution for this coding contest problem. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc
instruction
0
54,900
24
109,800
Tags: brute force, strings, two pointers Correct Solution: ``` N = int(input()) counts = [] for _ in range(N): s = input() last_c = None last_count = 0 ans = set() for c in s: if last_c == None: last_c = c last_count = 1 else: if c == last_c: last_count += 1 else: if last_count %2 == 1: ans.add(last_c) last_c = c last_count = 1 if last_count % 2 == 1: ans.add(c) print(''.join(sorted(list(ans)))) ```
output
1
54,900
24
109,801
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` t = int(input()) for _ in range(t): a = input().strip() n = len(a) a += "0" ans = set() lo = 0 hi = 0 while lo < n: while a[hi] == a[lo]: hi += 1 count = hi - lo if count % 2 == 1: ans.add(a[lo]) lo = hi print(*sorted(ans), sep='') ```
instruction
0
54,901
24
109,802
Yes
output
1
54,901
24
109,803
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` vezes = int(input()) for __ in range(vezes): letras = [] string = input() tamanho =1 if len(string) == 1: print(string[0]) else: for i in range(len(string)-1): if string[i] == string[i+1]: tamanho += 1 if i == len(string) - 2: if tamanho % 2 != 0 and string[i] not in letras: letras.append(string[i]) else: if tamanho % 2 != 0 and string[i] not in letras: letras.append(string[i]) tamanho = 1 if string[len(string) - 1] != string[len(string) - 2]: if string[len(string) - 1] not in letras: letras.append(string[len(string)-1]) letras.sort() print(*letras,sep="") ```
instruction
0
54,902
24
109,804
Yes
output
1
54,902
24
109,805
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` # for testes in range(int(input())): # s = input() # i = 0 # cont = 0 # while i < len(s): # c = s[i] # for x in s[i:]: # if x == c: # cont += 1 for testes in range(int(input())): s = input() ult = s[0] cont = 1 res = [] for c in s[1:]: if c != ult: if cont % 2 == 1 and ult not in res: res.append(ult) ult = c cont = 1 else: cont += 1 if cont % 2 == 1 and ult not in res: res.append(ult) for c in sorted(res): print(c,end="") print() ```
instruction
0
54,903
24
109,806
Yes
output
1
54,903
24
109,807
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` numberTestCases = int(input()) allWorkingCharactersLists = [] for test in range(numberTestCases): guaranteedWorkingCharactersPerCase = [] testString = input() + " " for i in range(1, len(testString) - 1): previousCharacter = testString[i-1] if testString[i] == previousCharacter: testStringList = list(testString) testStringList[i] = " " testStringList[i-1] = " " testString = ''.join(testStringList) for character in testString: if character != " " and character not in guaranteedWorkingCharactersPerCase: guaranteedWorkingCharactersPerCase.append(character) allWorkingCharactersLists.append(guaranteedWorkingCharactersPerCase) for characterList in allWorkingCharactersLists: characterList.sort() if characterList == []: characterList.append("") answer = ''.join(characterList) print(answer) ```
instruction
0
54,904
24
109,808
Yes
output
1
54,904
24
109,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` #Ashish Sagar q=int(input()) for _ in range(q): s=list(input()) ans="" i=0 n=len(s) if n==1: print(s[0]) else: while(i<n-1): if s[i]!=s[i+1]: ans+=s[i] ans+=s[i+1] i+=2 if s[n-1]!=s[n-2]: ans+=s[n-1] ans=list(ans) ans.sort() print(''.join(ans)) ```
instruction
0
54,905
24
109,810
No
output
1
54,905
24
109,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` t=int(input()) for i in range(t): s=input() res = sorted(set(s)) for j in res: if s.count(j) != 2 * s.count(j + j): print(j,end='') print('\n') ```
instruction
0
54,906
24
109,812
No
output
1
54,906
24
109,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` q = int(input()) for re in range(q): s = input() dob = set() n = len(s) s = '0' + s + '0' for i in range(1, n+1): if s[i] != s[i-1] and s[i] != s[i+1]: dob.add(s[i]) l = [] for i in dob: if i != '0': l.append(i) l.sort() if len(l) == 0: print("") else: for i in range(len(l)): if i < len(l) - 1: print(l[i], end = "") else: print(l[i]) ```
instruction
0
54,907
24
109,814
No
output
1
54,907
24
109,815
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Recently Polycarp noticed that some of the buttons of his keyboard are malfunctioning. For simplicity, we assume that Polycarp's keyboard contains 26 buttons (one for each letter of the Latin alphabet). Each button is either working fine or malfunctioning. To check which buttons need replacement, Polycarp pressed some buttons in sequence, and a string s appeared on the screen. When Polycarp presses a button with character c, one of the following events happened: * if the button was working correctly, a character c appeared at the end of the string Polycarp was typing; * if the button was malfunctioning, two characters c appeared at the end of the string. For example, suppose the buttons corresponding to characters a and c are working correctly, and the button corresponding to b is malfunctioning. If Polycarp presses the buttons in the order a, b, a, c, a, b, a, then the string he is typing changes as follows: a → abb → abba → abbac → abbaca → abbacabb → abbacabba. You are given a string s which appeared on the screen after Polycarp pressed some buttons. Help Polycarp to determine which buttons are working correctly for sure (that is, this string could not appear on the screen if any of these buttons was malfunctioning). You may assume that the buttons don't start malfunctioning when Polycarp types the string: each button either works correctly throughout the whole process, or malfunctions throughout the whole process. Input The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases in the input. Then the test cases follow. Each test case is represented by one line containing a string s consisting of no less than 1 and no more than 500 lowercase Latin letters. Output For each test case, print one line containing a string res. The string res should contain all characters which correspond to buttons that work correctly in alphabetical order, without any separators or repetitions. If all buttons may malfunction, res should be empty. Example Input 4 a zzaaz ccff cbddbb Output a z bc Submitted Solution: ``` n=int(input()) for i in range(n): p=input() #p=p.split() #p=list(map(int,p)) #p.sort() if(len(p)==1): print(p[0]) else: curr=0 ans=list() for j in range(len(p)-1): if(p[j]==p[j+1]): curr+=1 else: break if(curr%2==0): ans.append(p[j]) curr=1 last=-1 for j in range(1,len(p)): if(p[j]==p[j-1]): curr+=1 else: if(curr%2==1 and p[j-1] not in ans): ans.append(p[j-1]) curr=1 curr=0 for j in range(len(p)-1,0,-1): if(p[j]==p[j-1]): curr+=1 else: break if(curr%2==0): ans.append(p[j]) ans.sort() for j in range(len(ans)): print(ans[j],end="") print() ```
instruction
0
54,908
24
109,816
No
output
1
54,908
24
109,817
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,323
24
110,646
Tags: implementation Correct Solution: ``` n = int(input()) s = input() ans = "" array_from_s = s.split("0") for c in array_from_s: ans += str(len(c)) print(ans) ```
output
1
55,323
24
110,647
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,324
24
110,648
Tags: implementation Correct Solution: ``` n=int(input()) s=input()+'0' i=0 for x in range(n): if s[x]=='1': i+=1 elif s[x]=='0': print(i,end='') i=0 print(i,end='') ```
output
1
55,324
24
110,649
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,325
24
110,650
Tags: implementation Correct Solution: ``` n = int(input()) a = input() new = "" c = 0 m = "1" for i in a: if(i == m): c += 1 else: if(m == "0"): new += ("0" * (c - 1)) else: new += str(c) m = i c = 1 if(m == "0"): new += ("0" * (c)) else: new += str(c) print(new) ```
output
1
55,325
24
110,651
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,326
24
110,652
Tags: implementation Correct Solution: ``` length = input("") string = input("") string = string.split('0') result = "" for i in string: result += str(len(i)) print(int(result)) ```
output
1
55,326
24
110,653
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,327
24
110,654
Tags: implementation Correct Solution: ``` n=input() s=input() d=0 c=0 for i in range(len(s)): if s[i]=='0': c=c*10+d d=0 else: d=d+1 c=c*10+d print(c) ```
output
1
55,327
24
110,655
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,328
24
110,656
Tags: implementation Correct Solution: ``` n = int(input()) s = input() + '0' ans = '' c = 0 for i in s: if i == '0': ans += str(c) c = 0 else: c += 1 print(ans) ```
output
1
55,328
24
110,657
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,329
24
110,658
Tags: implementation Correct Solution: ``` input() print(''.join([str(len(i)) for i in input().strip().split('0')])) ```
output
1
55,329
24
110,659
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031
instruction
0
55,330
24
110,660
Tags: implementation Correct Solution: ``` n=int(input()) s=input() c=0 r='' if(n==1): print(s) else: for i in range(n-1): if(s[0]=='0'): c=0 elif(s[i]=='1'): c=c+1 elif(s[i-1]=='1' and s[i]=='0'): r=r+str(c) c=0 elif(s[i-1]=='0' and s[i]=='0'): r=r+'0' c=0 if(s[-1]=='1' and s[-2]=='0'): r=r+'1' elif(s[-1]=='1' and s[-2]=='1'): c=c+1 r=r+str(c) elif(s[-1]=='0' and s[-2]=='0'): r=r+'00' elif(s[-1]=='0' and s[-2]=='1'): r=r+str(c)+'0' print(r) ```
output
1
55,330
24
110,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` input() s = input().split('0') for i in s: print(len(i), end='') ```
instruction
0
55,331
24
110,662
Yes
output
1
55,331
24
110,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` N = int(input()) li = input().split('0') for i in range(len(li)): li[i] = li[i].count('1') if len(li) == 0: print ("0") else: li = map(str,li) print ("".join(li)) ```
instruction
0
55,332
24
110,664
Yes
output
1
55,332
24
110,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` n = int(input()) s = input() v = s.split('0') ans = "" for x in v: ans += str(len(x)) print(ans) ```
instruction
0
55,333
24
110,666
Yes
output
1
55,333
24
110,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` n=int(input()) s=input() j=-1 for i in range(n): if s[i]=='0': print(i-j-1,end='') j=i print(n-j-1) ```
instruction
0
55,334
24
110,668
Yes
output
1
55,334
24
110,669
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` n=int(input()) b=list(input()) count=0 for i in range(n-1): if b[i]=='1': count+=1 else: print(count,end='') count=0 print(count+int(b[-1]),end='') ```
instruction
0
55,335
24
110,670
No
output
1
55,335
24
110,671
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` n = int(input()) encoded_number = input() decoded_number = [] current_digit = 0 for i, bit in enumerate(encoded_number): if bit is '1': current_digit += 1 elif bit is '0': if current_digit != 0: decoded_number.append(current_digit) current_digit = 0 else: decoded_number.append(current_digit) if current_digit != 0: decoded_number.append(current_digit) print("".join(map(str, decoded_number))) ```
instruction
0
55,336
24
110,672
No
output
1
55,336
24
110,673
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` s = input().strip() n = 0 for c in s: if c == '1': n += 1 else: print(n, end='') n = 0 print() ```
instruction
0
55,337
24
110,674
No
output
1
55,337
24
110,675
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: * Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). * Digits are written one by one in order corresponding to number and separated by single '0' character. Though Polycarp learnt how to encode the numbers, he has no idea how to decode them back. Help him calculate the decoded number. Input The first line contains one integer number n (1 ≤ n ≤ 89) — length of the string s. The second line contains string s — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts with '1'. Output Print the decoded number. Examples Input 3 111 Output 3 Input 9 110011101 Output 2031 Submitted Solution: ``` def find(s): A=[] count=0 for i in range(len(s)): if s[i]=='1': count+=1 else: A+=[count] count=0 if s[-1]=='1': A+=[count] TT='' for i in range(len(A)): TT+=str(A[i]) return TT N=input() s=input() print(find(s)) ```
instruction
0
55,338
24
110,676
No
output
1
55,338
24
110,677
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,019
24
112,038
Tags: greedy Correct Solution: ``` t = int(input()) for i in range(t): input() m, k = [int(l) for l in input().split()] a = [int(j) for j in input().split()] upset = -1 unknown = 0 unknownBeforeUpset = 0 ti, r = [], [] for i1 in range(m-1): n = input().split() ti.append(int(n[0])) r.append(int(n[1])) ti[i1] -= 1 if r[i1] == 1 and upset == -1: upset = i1 if ti[i1] != -1: a[ti[i1]] -= 1 else: unknown+=1 if upset == -1: unknownBeforeUpset+=1 st = ["N" for j in range(k)] if upset == -1: for j in range(k): if a[j] <= unknown: st[j] = "Y" else: usedAfter = [False for i in range(k)] for j in range(upset, m-1): if ti[j] != -1: usedAfter[ti[j]] = True minFirstFinished = -1 for j in range(k): if not usedAfter[j] and unknownBeforeUpset >= a[j]: st[j] = 'Y' if minFirstFinished == -1 or a[minFirstFinished] > a[j]: minFirstFinished = j if minFirstFinished != -1: restUnknown = unknown - a[minFirstFinished] for j in range(k): if a[j] <= restUnknown: st[j] = 'Y' print("".join(st)) ```
output
1
56,019
24
112,039
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,020
24
112,040
Tags: greedy Correct Solution: ``` t = int(input()) for i in range(t): input() m,k = map(int,input().split()) ak = list(map(int,input().split())) ak2 = [0]*k tjrj = [list(map(int,input().split())) for j in range(m-1)] num = 0 num2 = 0 num3 = 100002 for j in range(m-1): if num2 == 1 or tjrj[j][1] == 0: if tjrj[j][0] != 0: ak[tjrj[j][0]-1] -= 1 else: num += 1 else: for z in range(k): if ak[z] - num < 1: ak2[z] = 1 num2 = 1 if tjrj[j][0] != 0: ak[tjrj[j][0]-1] -= 1 else: num += 1 for f in range(j,m-1): if tjrj[f][0] != 0: ak2[tjrj[f][0]-1] = 0 for f in range(k): if ak2[f] == 1: if num3 > ak[f]: num3 = ak[f] num -= num3 for z in range(k): if ak[z] - num < 1 or ak2[z] == 1: print("Y",end="") else: print("N",end="") print() ```
output
1
56,020
24
112,041
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,021
24
112,042
Tags: greedy Correct Solution: ``` import sys test_count = int(sys.stdin.readline()) for test in range(test_count): sys.stdin.readline() m, k = map(int, sys.stdin.readline().split()) counts = list(map(int, sys.stdin.readline().split())) took = [] unhappy = [] for i in range(m - 1): t, r = map(int, sys.stdin.readline().split()) t -= 1 # -1 means unknown took.append(t) unhappy.append(r) took_in_total = [0 for dish_count in counts] for i in range(m - 1): if took[i] != -1: took_in_total[took[i]] += 1 took_already = [0 for dish_count in counts] left = [dish_count for dish_count in counts] answer = [False for dish_count in counts] unknown = 0 all_present = True for i in range(m - 1): if unhappy[i] == 1 and all_present: could_exhaust = [] for j in range(k): if took_already[j] < took_in_total[j]: continue if left[j] > unknown: continue could_exhaust.append(j) if len(could_exhaust) == 0: raise AssertionError for j in could_exhaust: answer[j] = True unknown -= min(map(lambda j: left[j], could_exhaust)) all_present = False if took[i] != -1: left[took[i]] -= 1 took_already[took[i]] += 1 if left[took[i]] == 0: all_present = False else: unknown += 1 for j in range(k): if left[j] <= unknown: answer[j] = True sys.stdout.write( ''.join(map(lambda x: 'Y' if x else 'N', answer)) + '\n' ) ```
output
1
56,021
24
112,043
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,022
24
112,044
Tags: greedy Correct Solution: ``` n=int(input()) for i in range(n): input().strip() q,w=map(int,input().strip().split()) kol=list(map(int,input().strip().split())) r=[] e=[] for ii in range(q-1): a,s=map(int,input().strip().split()) a-=1 r.append(a) e.append(s) rw=[0 for uu in kol] for ii in range(q-1): if r[ii]!=-1: rw[r[ii]]+=1 nd=[0 for uu in kol] l=[uu for uu in kol] rez=[False for uu in kol] qw=0 tr=True for ii in range(q-1): if e[ii]==1 and tr: su=[] for iii in range(w): if nd[iii]<rw[iii]: continue if l[iii]>qw: continue su.append(iii) if len(su)==0: raise AssertionError for iii in su: rez[iii]=True qw-=min(map(lambda iii:l[iii],su)) tr=False if r[ii]!=-1: l[r[ii]]-=1 nd[r[ii]]+=1 if l[r[ii]]==0: tr=False else: qw+=1 for iii in range(w): if l[iii]<=qw: rez[iii]=True print(''.join(map(lambda x:'Y' if x else 'N',rez))) ```
output
1
56,022
24
112,045
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,023
24
112,046
Tags: greedy Correct Solution: ``` def ris(): return map(int, input().split()) def testCase(): m, k = ris() q = 0 a = list(ris()) some_is_out = False tmp = set() for i in range(m - 1): t, r = ris() t -= 1 if r == 1 and not some_is_out: some_is_out = True tmp = tmp.union(set(filter(lambda x: a[x] <= q, range(k)))) if t == -1: q += 1 else: if t in tmp: tmp.remove(t) a[t] -= 1 if a[t] < 0: a[t] = 0 q += 1 if tmp: q -= min(map(lambda x: a[x], tmp)) print("".join(list(map(lambda x: 'Y' if a[x] - q <= 0 or x in tmp else 'N', range(len(a)))))) for i in range(int(input())): input() testCase() ```
output
1
56,023
24
112,047
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,024
24
112,048
Tags: greedy Correct Solution: ``` t = int(input()) for j in range(t): e = input() m, k = map(int, input().split()) arr = [int(i) for i in input().split()] sum, bfail = [0] * k, [0] * k ffail, undef = -1, 0 used = [False] * k ubfail = 0 for i in range(m - 1): c, ns = map(int, input().split()) if c == 0: undef += 1 if ns == 0 and ffail == -1: ubfail += 1 else: sum[c - 1] += 1 if ns == 0 and ffail == -1: bfail[c - 1] += 1 if ns and ffail == -1: ffail = i if ffail != -1 and c > 0: used[c - 1] = True if ffail == -1: for i in range(k): if sum[i] + undef >= arr[i]: print('Y', end = '') else: print('N', end = '') print() continue minu = 10 ** 6 for i in range(k): if not used[i] and arr[i] - bfail[i] < minu: minu = arr[i] - bfail[i] best = i for i in range(k): if i == best or undef - minu + sum[i] >= arr[i]: print('Y', end = '') elif bfail[i] + ubfail >= arr[i] and not used[i]: print('Y', end = '') else: print('N', end = '') print() ```
output
1
56,024
24
112,049
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,025
24
112,050
Tags: greedy Correct Solution: ``` import sys n=int(input()) for i in range(n): sys.stdin.readline() q,w=map(int,sys.stdin.readline().split()) kol=list(map(int,sys.stdin.readline().split())) r=[] e=[] for ii in range(q-1): a,s=map(int,sys.stdin.readline().split()) a-=1 r.append(a) e.append(s) rw=[0 for uu in kol] for ii in range(q-1): if r[ii]!=-1: rw[r[ii]]+=1 nd=[0 for uu in kol] l=[uu for uu in kol] rez=[False for uu in kol] qw=0 tr=True for ii in range(q-1): if e[ii]==1 and tr: su=[] for iii in range(w): if nd[iii]<rw[iii]: continue if l[iii]>qw: continue su.append(iii) if len(su)==0: raise AssertionError for iii in su: rez[iii]=True qw-=min(map(lambda iii:l[iii],su)) tr=False if r[ii]!=-1: l[r[ii]]-=1 nd[r[ii]]+=1 if l[r[ii]]==0: tr=False else: qw+=1 for iii in range(w): if l[iii]<=qw: rez[iii]=True sys.stdout.write(''.join(map(lambda x:'Y' if x else 'N',rez))+'\n') ```
output
1
56,025
24
112,051
Provide tags and a correct Python 3 solution for this coding contest problem. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY".
instruction
0
56,026
24
112,052
Tags: greedy Correct Solution: ``` import sys t = int(input()) for i in range(t): remove_from_all = 0 input() m, k = (int(x) for x in input().split()) dishes = [int(x) for x in input().split()] inputs = [] for j in range(m - 1): t, r = (int(x) for x in input().split()) inputs.append((t - 1, r)) seen_upset = False for i, v in enumerate(inputs): t, r = v if r == 1 and not seen_upset: impossible = set() for j in range(i, len(inputs)): _t, _r = inputs[j] impossible.add(_t) for j in range(len(dishes)): if dishes[j] > remove_from_all: impossible.add(j) minimal = float("inf") for j in range(len(dishes)): if j not in impossible: minimal = min(dishes[j], minimal) dishes[j] = 0 remove_from_all -= minimal seen_upset = True if t == -1: remove_from_all += 1 else: dishes[t] -= 1 for j in dishes: sys.stdout.write("Y" if j - remove_from_all <= 0 else "N") print("") ```
output
1
56,026
24
112,053
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY". Submitted Solution: ``` def ris(): return map(int, input().split()) def testCase(): m, k = ris() q = 0 a = list(ris()) some_is_out = False tmp = set() for i in range(m - 1): t, r = ris() t -= 1 if r == 1 and not some_is_out: some_is_out = True tmp = tmp.union(set(filter(lambda x: a[x] <= q, range(k)))) if t == -1: q += 1 else: if t in tmp: tmp.remove(t) a[t] -= 1 if a[t] < 0: a[t] = 0 q += 1 if tmp: q -= min(map(lambda x: a[x], tmp)) print("".join(list(map(lambda x: 'Y' if a[x] - q <= 0 or x in tmp else 'N', range(len(a)))))) for i in range(int(input())): input() testCase() # Made By Mostafa_Khaled ```
instruction
0
56,027
24
112,054
Yes
output
1
56,027
24
112,055
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY". Submitted Solution: ``` for i in range(int(input())): _ = input() m, k = [int(x) for x in input().split()] foods = [[int(x), 0] for x in input().split()] n = 0 for i in range(m-1): eat, sad = [int(x) for x in input().split()] if sad: maybe = [(i, x) for i, x in enumerate(foods) if x[0] - x[1] - n <= 0] if len(maybe) == 1: i = maybe[0][0] x = maybe[0][1] dif = x[0] - x[1] foods[i] = [x[0], x[0]] n -= dif if not eat: n += 1 else: foods[eat-1][1] += 1 print(''.join(['N' if x[0] - x[1] - n > 0 else 'Y' for x in foods])) ```
instruction
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112,056
No
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1
56,028
24
112,057
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY". Submitted Solution: ``` import sys t = int(input()) for i in range(t): remove_from_all = 0 input() m, k = (int(x) for x in input().split()) dishes = [int(x) for x in input().split()] for j in range(m - 1): t, r = (int(x) for x in input().split()) if t == 0: remove_from_all += 1 else: dishes[t - 1] -= 1 for j in dishes: sys.stdout.write("Y" if j - remove_from_all <= 0 else "N") print("") ```
instruction
0
56,029
24
112,058
No
output
1
56,029
24
112,059
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY". Submitted Solution: ``` n = int(input()) for _ in range(n): input() m, k = [int(s) for s in input().split()] a = [int(s) for s in input().split()] unknowns = 0 firstDispleased = False for i in range(m - 1): t, r = [int(s) for s in input().split()] if r == 1: unknowns += 1 if not firstDispleased: firstDispleased = True for j in range(len(a)): if a[j] + unknowns < j: a[j] = 0 if t == 0: a = [v - 1 for v in a] else: a[t - 1] -= 1 for v in a: if v <= 0: print('Y', end='') else: print('N', end='') print() ```
instruction
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56,030
24
112,060
No
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1
56,030
24
112,061
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Polycarp is flying in the airplane. Finally, it is his favorite time — the lunchtime. The BerAvia company stewardess is giving food consecutively to all the passengers from the 1-th one to the last one. Polycarp is sitting on seat m, that means, he will be the m-th person to get food. The flight menu has k dishes in total and when Polycarp boarded the flight, he had time to count the number of portions of each dish on board. Thus, he knows values a1, a2, ..., ak, where ai is the number of portions of the i-th dish. The stewardess has already given food to m - 1 passengers, gave Polycarp a polite smile and asked him what he would prefer. That's when Polycarp realized that they might have run out of some dishes by that moment. For some of the m - 1 passengers ahead of him, he noticed what dishes they were given. Besides, he's heard some strange mumbling from some of the m - 1 passengers ahead of him, similar to phrase 'I'm disappointed'. That happened when a passenger asked for some dish but the stewardess gave him a polite smile and said that they had run out of that dish. In that case the passenger needed to choose some other dish that was available. If Polycarp heard no more sounds from a passenger, that meant that the passenger chose his dish at the first try. Help Polycarp to find out for each dish: whether they could have run out of the dish by the moment Polyarp was served or that dish was definitely available. Input Each test in this problem consists of one or more input sets. First goes a string that contains a single integer t (1 ≤ t ≤ 100 000) — the number of input data sets in the test. Then the sets follow, each set is preceded by an empty line. The first line of each set of the input contains integers m, k (2 ≤ m ≤ 100 000, 1 ≤ k ≤ 100 000) — the number of Polycarp's seat and the number of dishes, respectively. The second line contains a sequence of k integers a1, a2, ..., ak (1 ≤ ai ≤ 100 000), where ai is the initial number of portions of the i-th dish. Then m - 1 lines follow, each line contains the description of Polycarp's observations about giving food to a passenger sitting in front of him: the j-th line contains a pair of integers tj, rj (0 ≤ tj ≤ k, 0 ≤ rj ≤ 1), where tj is the number of the dish that was given to the j-th passenger (or 0, if Polycarp didn't notice what dish was given to the passenger), and rj — a 1 or a 0, depending on whether the j-th passenger was or wasn't disappointed, respectively. We know that sum ai equals at least m, that is,Polycarp will definitely get some dish, even if it is the last thing he wanted. It is guaranteed that the data is consistent. Sum m for all input sets doesn't exceed 100 000. Sum k for all input sets doesn't exceed 100 000. Output For each input set print the answer as a single line. Print a string of k letters "Y" or "N". Letter "Y" in position i should be printed if they could have run out of the i-th dish by the time the stewardess started serving Polycarp. Examples Input 2 3 4 2 3 2 1 1 0 0 0 5 5 1 2 1 3 1 3 0 0 0 2 1 4 0 Output YNNY YYYNY Note In the first input set depending on the choice of the second passenger the situation could develop in different ways: * If he chose the first dish, then by the moment the stewardess reaches Polycarp, they will have run out of the first dish; * If he chose the fourth dish, then by the moment the stewardess reaches Polycarp, they will have run out of the fourth dish; * Otherwise, Polycarp will be able to choose from any of the four dishes. Thus, the answer is "YNNY". In the second input set there is, for example, the following possible scenario. First, the first passenger takes the only third dish, then the second passenger takes the second dish. Then, the third passenger asks for the third dish, but it is not available, so he makes disappointed muttering and ends up with the second dish. Then the fourth passenger takes the fourth dish, and Polycarp ends up with the choice between the first, fourth and fifth dish. Likewise, another possible scenario is when by the time the stewardess comes to Polycarp, they will have run out of either the first or the fifth dish (this can happen if one of these dishes is taken by the second passenger). It is easy to see that there is more than enough of the fourth dish, so Polycarp can always count on it. Thus, the answer is "YYYNY". Submitted Solution: ``` b = [] t = int(input()) s = "" for i in range(t): input() m, k = [int(l) for l in input().split()] a = [int(j) for j in input().split()] upset = -1 unknownBeforeUpset = 0 for i1 in range(m-1): ti, r = [int(i) for i in input().split()] ti-=1 #if r == 0: if ti != -1: a[ti] -= 1 else: a = [j-1 for j in a] #if upset == -1: # unknownBeforeUpset += 1 #else: # upset = i1 s += "".join(["Y" if j <=0 else "N" for j in a]) + '\n' print(s) ```
instruction
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56,031
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112,062
No
output
1
56,031
24
112,063
Provide tags and a correct Python 3 solution for this coding contest problem. The only difference between easy and hard versions is constraints. Polycarp loves to listen to music, so he never leaves the player, even on the way home from the university. Polycarp overcomes the distance from the university to the house in exactly T minutes. In the player, Polycarp stores n songs, each of which is characterized by two parameters: t_i and g_i, where t_i is the length of the song in minutes (1 ≤ t_i ≤ 15), g_i is its genre (1 ≤ g_i ≤ 3). Polycarp wants to create such a playlist so that he can listen to music all the time on the way from the university to his home, and at the time of his arrival home, the playlist is over. Polycarp never interrupts songs and always listens to them from beginning to end. Thus, if he started listening to the i-th song, he would spend exactly t_i minutes on its listening. Polycarp also does not like when two songs of the same genre play in a row (i.e. successively/adjacently) or when the songs in his playlist are repeated. Help Polycarpus count the number of different sequences of songs (their order matters), the total duration is exactly T, such that there are no two consecutive songs of the same genre in them and all the songs in the playlist are different. Input The first line of the input contains two integers n and T (1 ≤ n ≤ 15, 1 ≤ T ≤ 225) — the number of songs in the player and the required total duration, respectively. Next, the n lines contain descriptions of songs: the i-th line contains two integers t_i and g_i (1 ≤ t_i ≤ 15, 1 ≤ g_i ≤ 3) — the duration of the i-th song and its genre, respectively. Output Output one integer — the number of different sequences of songs, the total length of exactly T, such that there are no two consecutive songs of the same genre in them and all the songs in the playlist are different. Since the answer may be huge, output it modulo 10^9 + 7 (that is, the remainder when dividing the quantity by 10^9 + 7). Examples Input 3 3 1 1 1 2 1 3 Output 6 Input 3 3 1 1 1 1 1 3 Output 2 Input 4 10 5 3 2 1 3 2 5 1 Output 10 Note In the first example, Polycarp can make any of the 6 possible playlist by rearranging the available songs: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2] and [3, 2, 1] (indices of the songs are given). In the second example, the first and second songs cannot go in succession (since they have the same genre). Thus, Polycarp can create a playlist in one of 2 possible ways: [1, 3, 2] and [2, 3, 1] (indices of the songs are given). In the third example, Polycarp can make the following playlists: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1], [1, 4], [4, 1], [2, 3, 4] and [4, 3, 2] (indices of the songs are given).
instruction
0
56,458
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112,916
Tags: bitmasks, combinatorics, dp Correct Solution: ``` import sys input=sys.stdin.readline mod=10**9+7 n,t=map(int,input().split()) a=[] #Denote song number by it's index in this list for i in range(n): time,genre=map(int,input().split()) genre-=1 #converting to 0-based indexing a.append((time,genre)) dp=[[0 for j in range(3)] for i in range(1<<n)] #dp[permuation of song][last genre of that permutation] for i in range(n): dp[1<<i][a[i][1]]=1 for i in range(1<<n): for j in range(3): if(dp[i][j]==0): continue mask=1 #Will correspond to the kth bit, i.e 1<<k for each iteration, for the case of including the kth song for k in range(n): if(i&mask or a[k][1]==j): #as we are not allowed to repeat same song or have same genre successively mask<<=1 continue dp[i|mask][a[k][1]]=(dp[i|mask][a[k][1]]+dp[i][j])%mod mask<<=1 ans=0 for i in range(1<<n): mask=1 duration=0 for j in range(n): if(i&mask): duration+=a[j][0] mask<<=1 if(duration==t): ans=(ans+sum(dp[i]))%mod print(ans) ```
output
1
56,458
24
112,917
Provide tags and a correct Python 3 solution for this coding contest problem. The only difference between easy and hard versions is constraints. Polycarp loves to listen to music, so he never leaves the player, even on the way home from the university. Polycarp overcomes the distance from the university to the house in exactly T minutes. In the player, Polycarp stores n songs, each of which is characterized by two parameters: t_i and g_i, where t_i is the length of the song in minutes (1 ≤ t_i ≤ 15), g_i is its genre (1 ≤ g_i ≤ 3). Polycarp wants to create such a playlist so that he can listen to music all the time on the way from the university to his home, and at the time of his arrival home, the playlist is over. Polycarp never interrupts songs and always listens to them from beginning to end. Thus, if he started listening to the i-th song, he would spend exactly t_i minutes on its listening. Polycarp also does not like when two songs of the same genre play in a row (i.e. successively/adjacently) or when the songs in his playlist are repeated. Help Polycarpus count the number of different sequences of songs (their order matters), the total duration is exactly T, such that there are no two consecutive songs of the same genre in them and all the songs in the playlist are different. Input The first line of the input contains two integers n and T (1 ≤ n ≤ 15, 1 ≤ T ≤ 225) — the number of songs in the player and the required total duration, respectively. Next, the n lines contain descriptions of songs: the i-th line contains two integers t_i and g_i (1 ≤ t_i ≤ 15, 1 ≤ g_i ≤ 3) — the duration of the i-th song and its genre, respectively. Output Output one integer — the number of different sequences of songs, the total length of exactly T, such that there are no two consecutive songs of the same genre in them and all the songs in the playlist are different. Since the answer may be huge, output it modulo 10^9 + 7 (that is, the remainder when dividing the quantity by 10^9 + 7). Examples Input 3 3 1 1 1 2 1 3 Output 6 Input 3 3 1 1 1 1 1 3 Output 2 Input 4 10 5 3 2 1 3 2 5 1 Output 10 Note In the first example, Polycarp can make any of the 6 possible playlist by rearranging the available songs: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2] and [3, 2, 1] (indices of the songs are given). In the second example, the first and second songs cannot go in succession (since they have the same genre). Thus, Polycarp can create a playlist in one of 2 possible ways: [1, 3, 2] and [2, 3, 1] (indices of the songs are given). In the third example, Polycarp can make the following playlists: [1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1], [1, 4], [4, 1], [2, 3, 4] and [4, 3, 2] (indices of the songs are given).
instruction
0
56,459
24
112,918
Tags: bitmasks, combinatorics, dp Correct Solution: ``` import sys input = sys.stdin.readline n,T=map(int,input().split()) S=[list(map(int,input().split())) for i in range(n)] DP=[[0]*(4) for i in range(T+1)] mod=10**9+7 from functools import lru_cache @lru_cache(maxsize=None) def calc(used,recent,time): ANS=0 for i in range(n): #print(i,used) if i in used: continue if time+S[i][0]>T: continue if S[i][1]==recent: continue if time+S[i][0]==T: ANS+=1 if time+S[i][0]<T: used2=list(used)+[i] used2.sort() recent2=S[i][1] time2=time+S[i][0] ANS=(ANS+calc(tuple(used2),recent2,time2))%mod return ANS print(calc(tuple(),-1,0)%mod) ```
output
1
56,459
24
112,919