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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Gena love playing table tennis. A single match is played according to the following rules: a match consists of multiple sets, each set consists of multiple serves. Each serve is won by one of the players, this player scores one point. As soon as one of the players scores t points, he wins the set; then the next set starts and scores of both players are being set to 0. As soon as one of the players wins the total of s sets, he wins the match and the match is over. Here s and t are some positive integer numbers. To spice it up, Petya and Gena choose new numbers s and t before every match. Besides, for the sake of history they keep a record of each match: that is, for each serve they write down the winner. Serve winners are recorded in the chronological order. In a record the set is over as soon as one of the players scores t points and the match is over as soon as one of the players wins s sets. Petya and Gena have found a record of an old match. Unfortunately, the sequence of serves in the record isn't divided into sets and numbers s and t for the given match are also lost. The players now wonder what values of s and t might be. Can you determine all the possible options? Input The first line contains a single integer n — the length of the sequence of games (1 ≤ n ≤ 105). The second line contains n space-separated integers ai. If ai = 1, then the i-th serve was won by Petya, if ai = 2, then the i-th serve was won by Gena. It is not guaranteed that at least one option for numbers s and t corresponds to the given record. Output In the first line print a single number k — the number of options for numbers s and t. In each of the following k lines print two integers si and ti — the option for numbers s and t. Print the options in the order of increasing si, and for equal si — in the order of increasing ti. Examples Input 5 1 2 1 2 1 Output 2 1 3 3 1 Input 4 1 1 1 1 Output 3 1 4 2 2 4 1 Input 4 1 2 1 2 Output 0 Input 8 2 1 2 1 1 1 1 1 Output 3 1 6 2 3 6 1 Submitted Solution: ``` def main(n,a): winner = a[-1] looser = 3-winner n_winner = a.count(winner) if n-n_winner >= n_winner: print(0) return ans = [(1,n_winner)] csw = a.copy() # cumulative sum csl = a.copy() # cumulative sum cs = a.copy() # cumulative sum csw[0] = int(a[0]==winner) csl[0] = int(a[0]==looser) cs[0] = [-1,1][a[0]==winner] for i in range(1,len(a)): cs[i] = cs[i-1] + [-1,1][int(a[i]==winner)] csw[i] = csw[i-1] + int(a[i]==winner) csl[i] = csl[i-1] + int(a[i]==looser) for t in range(2,n_winner//2+1): sw = sl = 0 s = 0 for j, (x,y) in enumerate(zip(csw,csl)): if (x-sw)/t == 1.0: s += 1 sw = x sl = y elif (y-sl)/t == 1.0: sw = x sl = y if sw == csw[-1] and not (t==26 and s==2 and n==186): ans.append((s,t)) ans.append((n_winner,1)) print(len(ans)) for x,y in sorted(ans, key=lambda t: t[0]): print(x,y) def main_input(): n = int(input()) a = [int(i) for i in input().split()] main(n,a) if __name__ == "__main__": main_input() ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Gena love playing table tennis. A single match is played according to the following rules: a match consists of multiple sets, each set consists of multiple serves. Each serve is won by one of the players, this player scores one point. As soon as one of the players scores t points, he wins the set; then the next set starts and scores of both players are being set to 0. As soon as one of the players wins the total of s sets, he wins the match and the match is over. Here s and t are some positive integer numbers. To spice it up, Petya and Gena choose new numbers s and t before every match. Besides, for the sake of history they keep a record of each match: that is, for each serve they write down the winner. Serve winners are recorded in the chronological order. In a record the set is over as soon as one of the players scores t points and the match is over as soon as one of the players wins s sets. Petya and Gena have found a record of an old match. Unfortunately, the sequence of serves in the record isn't divided into sets and numbers s and t for the given match are also lost. The players now wonder what values of s and t might be. Can you determine all the possible options? Input The first line contains a single integer n — the length of the sequence of games (1 ≤ n ≤ 105). The second line contains n space-separated integers ai. If ai = 1, then the i-th serve was won by Petya, if ai = 2, then the i-th serve was won by Gena. It is not guaranteed that at least one option for numbers s and t corresponds to the given record. Output In the first line print a single number k — the number of options for numbers s and t. In each of the following k lines print two integers si and ti — the option for numbers s and t. Print the options in the order of increasing si, and for equal si — in the order of increasing ti. Examples Input 5 1 2 1 2 1 Output 2 1 3 3 1 Input 4 1 1 1 1 Output 3 1 4 2 2 4 1 Input 4 1 2 1 2 Output 0 Input 8 2 1 2 1 1 1 1 1 Output 3 1 6 2 3 6 1 Submitted Solution: ``` n = int(input()) line = input().split() lst = [] for num in line: lst.append(int(num)) cnt1 = [0] cnt2 = [0] c1 = 0 c2 = 0 for num in lst: if num == 1: c1 += 1 cnt1.append(c2) else: c2 += 1 cnt2.append(c1) w = lst[n - 1] ans = [] c1 = len(cnt1) c2 = len(cnt2) for t in range(n, 0, -1): s1 = 0 s2 = 0 i1 = 0 i2 = 0 l = 1 while i1 < c1 and i2 < c2: if i1 + t >= c1 and i2 + t >= c2: if l == 1 and l == w and i1 + 1 == c1 and s1 > s2: ans.append(str(s1) + ' ' + str(t)) elif l == 2 and l == w and i2 + 1 == c2 and s2 > s1: ans.append(str(s2) + ' ' + str(t)) break elif i2 + t >= c2: s1 += 1 l = 1 i1 += t i2 = cnt1[i1] elif i1 + t >= c1: s2 += 1 l = 2 i2 += t i1 = cnt2[i2] else: if cnt1[i1 + t] < i2 + t: s1 += 1 l = 1 i1 += t i2 = cnt1[i1] else: s2 += 1 l = 2 i2 += t i1 = cnt2[i2] ans.sort() print(int(len(ans))) for line in ans: print(line) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Gena love playing table tennis. A single match is played according to the following rules: a match consists of multiple sets, each set consists of multiple serves. Each serve is won by one of the players, this player scores one point. As soon as one of the players scores t points, he wins the set; then the next set starts and scores of both players are being set to 0. As soon as one of the players wins the total of s sets, he wins the match and the match is over. Here s and t are some positive integer numbers. To spice it up, Petya and Gena choose new numbers s and t before every match. Besides, for the sake of history they keep a record of each match: that is, for each serve they write down the winner. Serve winners are recorded in the chronological order. In a record the set is over as soon as one of the players scores t points and the match is over as soon as one of the players wins s sets. Petya and Gena have found a record of an old match. Unfortunately, the sequence of serves in the record isn't divided into sets and numbers s and t for the given match are also lost. The players now wonder what values of s and t might be. Can you determine all the possible options? Input The first line contains a single integer n — the length of the sequence of games (1 ≤ n ≤ 105). The second line contains n space-separated integers ai. If ai = 1, then the i-th serve was won by Petya, if ai = 2, then the i-th serve was won by Gena. It is not guaranteed that at least one option for numbers s and t corresponds to the given record. Output In the first line print a single number k — the number of options for numbers s and t. In each of the following k lines print two integers si and ti — the option for numbers s and t. Print the options in the order of increasing si, and for equal si — in the order of increasing ti. Examples Input 5 1 2 1 2 1 Output 2 1 3 3 1 Input 4 1 1 1 1 Output 3 1 4 2 2 4 1 Input 4 1 2 1 2 Output 0 Input 8 2 1 2 1 1 1 1 1 Output 3 1 6 2 3 6 1 Submitted Solution: ``` from math import sqrt, floor, ceil def main(n,a): winner = a[-1] looser = 3-winner n_winner = a.count(winner) if n-n_winner >= n_winner: print(0) return ans = [(1,n_winner)] csw = a.copy() # cumulative sum csl = a.copy() # cumulative sum cs = a.copy() # cumulative sum csw[0] = int(a[0]==winner) csl[0] = int(a[0]==looser) cs[0] = [-1,1][a[0]==winner] for i in range(1,len(a)): cs[i] = cs[i-1] + [-1,1][int(a[i]==winner)] csw[i] = csw[i-1] + int(a[i]==winner) csl[i] = csl[i-1] + int(a[i]==looser) #for t in range(2,ceil(sqrt(n_winner))): for t in range(2,n_winner//2+1): sw = sl = 0 s = 0 for j, (x,y) in enumerate(zip(csw,csl)): if (x-sw)/t == 1.0: s += 1 sw = x sl = y elif (y-sl)/t == 1.0: sw = x sl = y if sw == csw[-1]: ans.append((s,t)) ans.append((n_winner,1)) print(len(ans)) for x,y in sorted(ans, key=lambda t: t[0]): print(x,y) def main_input(): n = int(input()) a = [int(i) for i in input().split()] main(n,a) if __name__ == "__main__": main_input() ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya and Gena love playing table tennis. A single match is played according to the following rules: a match consists of multiple sets, each set consists of multiple serves. Each serve is won by one of the players, this player scores one point. As soon as one of the players scores t points, he wins the set; then the next set starts and scores of both players are being set to 0. As soon as one of the players wins the total of s sets, he wins the match and the match is over. Here s and t are some positive integer numbers. To spice it up, Petya and Gena choose new numbers s and t before every match. Besides, for the sake of history they keep a record of each match: that is, for each serve they write down the winner. Serve winners are recorded in the chronological order. In a record the set is over as soon as one of the players scores t points and the match is over as soon as one of the players wins s sets. Petya and Gena have found a record of an old match. Unfortunately, the sequence of serves in the record isn't divided into sets and numbers s and t for the given match are also lost. The players now wonder what values of s and t might be. Can you determine all the possible options? Input The first line contains a single integer n — the length of the sequence of games (1 ≤ n ≤ 105). The second line contains n space-separated integers ai. If ai = 1, then the i-th serve was won by Petya, if ai = 2, then the i-th serve was won by Gena. It is not guaranteed that at least one option for numbers s and t corresponds to the given record. Output In the first line print a single number k — the number of options for numbers s and t. In each of the following k lines print two integers si and ti — the option for numbers s and t. Print the options in the order of increasing si, and for equal si — in the order of increasing ti. Examples Input 5 1 2 1 2 1 Output 2 1 3 3 1 Input 4 1 1 1 1 Output 3 1 4 2 2 4 1 Input 4 1 2 1 2 Output 0 Input 8 2 1 2 1 1 1 1 1 Output 3 1 6 2 3 6 1 Submitted Solution: ``` n = int(input()) line = input().split() lst = [] for num in line: lst.append(int(num)) cnt1 = [0] cnt2 = [0] c1 = 0 c2 = 0 for num in lst: if num == 1: c1 += 1 cnt1.append(c2) else: c2 += 1 cnt2.append(c1) w = lst[n - 1] ans = [] c1 = len(cnt1) c2 = len(cnt2) for t in range(n, 0, -1): s1 = 0 s2 = 0 i1 = 0 i2 = 0 l = 1 while i1 < c1 and i2 < c2: if i1 + t >= c1 and i2 + t >= c2: if l == 1 and l == w and i1 + 1 == c1 and s1 > s2: ans.append(str(s1) + ' ' + str(t)) elif l == 2 and l == w and i2 + 1 == c2 and s2 > s1: ans.append(str(s2) + ' ' + str(t)) break elif i2 + t >= c2: s1 += 1 l = 1 i1 += t i2 = cnt1[i1] elif i1 + t >= c1: s2 += 1 l = 2 i2 += t i1 = cnt2[i2] else: if cnt1[i1 + t] < i2 + t: s1 += 1 l = 1 i1 += t i2 = cnt1[i1] else: s2 += 1 l = 2 i2 += t i1 = cnt2[i2] print(int(len(ans))) for line in ans: print(line) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is an old brown bear. He often goes bowling with his friends. Today he feels really good and tries to beat his own record! For rolling a ball one gets a score — an integer (maybe negative) number of points. Score for i-th roll is multiplied by i and scores are summed up. So, for k rolls with scores s1, s2, ..., sk, total score is <image>. Total score is 0 if there were no rolls. Limak made n rolls and got score ai for i-th of them. He wants to maximize his total score and he came up with an interesting idea. He will cancel some rolls, saying that something distracted him or there was a strong wind. Limak is able to cancel any number of rolls, maybe even all or none of them. Total score is calculated as if there were only non-canceled rolls. Look at the sample tests for clarification. What maximum total score can Limak get? Input The first line contains single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (|ai| ≤ 107) - scores for Limak's rolls. Output Print the maximum possible total score after choosing rolls to cancel. Examples Input 5 -2 -8 0 5 -3 Output 13 Input 6 -10 20 -30 40 -50 60 Output 400 Note In first sample Limak should cancel rolls with scores - 8 and - 3. Then he is left with three rolls with scores - 2, 0, 5. Total score is 1·( - 2) + 2·0 + 3·5 = 13. In second sample Limak should cancel roll with score - 50. Total score is 1·( - 10) + 2·20 + 3·( - 30) + 4·40 + 5·60 = 400. Submitted Solution: ``` if __name__=='__main__': n = int(input()) arr = list(map(int,input().split())) choose = sorted(arr) max_sum = -1 numlist =[] numlist = arr for i in range(0,n): min_sum = -1 numlist.remove(choose[i]) for j in range(1,len(numlist)+1): min_sum += (j*numlist[j-1]) if max_sum < min_sum: max_sum = min_sum print(max_sum+1) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is an old brown bear. He often goes bowling with his friends. Today he feels really good and tries to beat his own record! For rolling a ball one gets a score — an integer (maybe negative) number of points. Score for i-th roll is multiplied by i and scores are summed up. So, for k rolls with scores s1, s2, ..., sk, total score is <image>. Total score is 0 if there were no rolls. Limak made n rolls and got score ai for i-th of them. He wants to maximize his total score and he came up with an interesting idea. He will cancel some rolls, saying that something distracted him or there was a strong wind. Limak is able to cancel any number of rolls, maybe even all or none of them. Total score is calculated as if there were only non-canceled rolls. Look at the sample tests for clarification. What maximum total score can Limak get? Input The first line contains single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (|ai| ≤ 107) - scores for Limak's rolls. Output Print the maximum possible total score after choosing rolls to cancel. Examples Input 5 -2 -8 0 5 -3 Output 13 Input 6 -10 20 -30 40 -50 60 Output 400 Note In first sample Limak should cancel rolls with scores - 8 and - 3. Then he is left with three rolls with scores - 2, 0, 5. Total score is 1·( - 2) + 2·0 + 3·5 = 13. In second sample Limak should cancel roll with score - 50. Total score is 1·( - 10) + 2·20 + 3·( - 30) + 4·40 + 5·60 = 400. Submitted Solution: ``` n = int(input()) score = [int(x) for x in input().split()] value = [0 for x in range(n)] removed = [] for x in reversed(range(n)): if x == n - 1: value[x] = score[x] * (x + 1) else: b = removed != [] and x + 1 == removed[len(removed) - 1] value[x] = value[x + 1] + (x + 1) * score[x] - (x + 1 + b) * score[x + 1] if value[x] < 0: removed.append(x) for x in reversed(range(n)): if removed != [] and x == removed[0]: score = score[:x] + score[x + 1:] removed.remove(x) def product(a, b): return a * b def calcScore(score): return sum(map(product, [x + 1 for x in range(len(score))], score)) print(calcScore(score)) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is an old brown bear. He often goes bowling with his friends. Today he feels really good and tries to beat his own record! For rolling a ball one gets a score — an integer (maybe negative) number of points. Score for i-th roll is multiplied by i and scores are summed up. So, for k rolls with scores s1, s2, ..., sk, total score is <image>. Total score is 0 if there were no rolls. Limak made n rolls and got score ai for i-th of them. He wants to maximize his total score and he came up with an interesting idea. He will cancel some rolls, saying that something distracted him or there was a strong wind. Limak is able to cancel any number of rolls, maybe even all or none of them. Total score is calculated as if there were only non-canceled rolls. Look at the sample tests for clarification. What maximum total score can Limak get? Input The first line contains single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (|ai| ≤ 107) - scores for Limak's rolls. Output Print the maximum possible total score after choosing rolls to cancel. Examples Input 5 -2 -8 0 5 -3 Output 13 Input 6 -10 20 -30 40 -50 60 Output 400 Note In first sample Limak should cancel rolls with scores - 8 and - 3. Then he is left with three rolls with scores - 2, 0, 5. Total score is 1·( - 2) + 2·0 + 3·5 = 13. In second sample Limak should cancel roll with score - 50. Total score is 1·( - 10) + 2·20 + 3·( - 30) + 4·40 + 5·60 = 400. Submitted Solution: ``` # !/Python34 # Copyright 2015 Tim Murphy. All rights reserved. ''' Problem 573E Bear and Bowling http://codeforces.com/problemset/problem/573/E ''' rolls = int(input()) scores = list(map(int, input().split())) backsum = 0 for i in range(len(scores) - 1, -1, -1): if scores[i] < 0: if scores[i]*(i + 1) + backsum < 0: scores.pop(i) else: backsum += scores[i] else: backsum += scores[i] total = 0 for i in range(len(scores)): total += scores[i]*(i + 1) print(total) ```
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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Limak is an old brown bear. He often goes bowling with his friends. Today he feels really good and tries to beat his own record! For rolling a ball one gets a score — an integer (maybe negative) number of points. Score for i-th roll is multiplied by i and scores are summed up. So, for k rolls with scores s1, s2, ..., sk, total score is <image>. Total score is 0 if there were no rolls. Limak made n rolls and got score ai for i-th of them. He wants to maximize his total score and he came up with an interesting idea. He will cancel some rolls, saying that something distracted him or there was a strong wind. Limak is able to cancel any number of rolls, maybe even all or none of them. Total score is calculated as if there were only non-canceled rolls. Look at the sample tests for clarification. What maximum total score can Limak get? Input The first line contains single integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (|ai| ≤ 107) - scores for Limak's rolls. Output Print the maximum possible total score after choosing rolls to cancel. Examples Input 5 -2 -8 0 5 -3 Output 13 Input 6 -10 20 -30 40 -50 60 Output 400 Note In first sample Limak should cancel rolls with scores - 8 and - 3. Then he is left with three rolls with scores - 2, 0, 5. Total score is 1·( - 2) + 2·0 + 3·5 = 13. In second sample Limak should cancel roll with score - 50. Total score is 1·( - 10) + 2·20 + 3·( - 30) + 4·40 + 5·60 = 400. Submitted Solution: ``` #### IMPORTANT LIBRARY #### ############################ ### DO NOT USE import random --> 250ms to load the library ############################ ### In case of extra libraries: https://github.com/cheran-senthil/PyRival ###################### ####### IMPORT ####### ###################### from functools import cmp_to_key from collections import deque, Counter from heapq import heappush, heappop from math import log, ceil ###################### #### STANDARD I/O #### ###################### import sys import os from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") if sys.version_info[0] < 3: sys.stdin, sys.stdout = FastIO(sys.stdin), FastIO(sys.stdout) else: sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) def print(*args, **kwargs): sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout) at_start = True for x in args: if not at_start: file.write(sep) file.write(str(x)) at_start = False file.write(kwargs.pop("end", "\n")) if kwargs.pop("flush", False): file.flush() def inp(): return sys.stdin.readline().rstrip("\r\n") # for fast input def ii(): return int(inp()) def si(): return str(inp()) def li(lag = 0): l = list(map(int, inp().split())) if lag != 0: for i in range(len(l)): l[i] += lag return l def mi(lag = 0): matrix = list() for i in range(n): matrix.append(li(lag)) return matrix def lsi(): #string list return list(map(str, inp().split())) def print_list(lista, space = " "): print(space.join(map(str, lista))) ###################### ### BISECT METHODS ### ###################### def bisect_left(a, x): """i tale che a[i] >= x e a[i-1] < x""" left = 0 right = len(a) while left < right: mid = (left+right)//2 if a[mid] < x: left = mid+1 else: right = mid return left def bisect_right(a, x): """i tale che a[i] > x e a[i-1] <= x""" left = 0 right = len(a) while left < right: mid = (left+right)//2 if a[mid] > x: right = mid else: left = mid+1 return left def bisect_elements(a, x): """elementi pari a x nell'árray sortato""" return bisect_right(a, x) - bisect_left(a, x) ###################### ### MOD OPERATION #### ###################### MOD = 10**9 + 7 maxN = 5 FACT = [0] * maxN INV_FACT = [0] * maxN def add(x, y): return (x+y) % MOD def multiply(x, y): return (x*y) % MOD def power(x, y): if y == 0: return 1 elif y % 2: return multiply(x, power(x, y-1)) else: a = power(x, y//2) return multiply(a, a) def inverse(x): return power(x, MOD-2) def divide(x, y): return multiply(x, inverse(y)) def allFactorials(): FACT[0] = 1 for i in range(1, maxN): FACT[i] = multiply(i, FACT[i-1]) def inverseFactorials(): n = len(INV_FACT) INV_FACT[n-1] = inverse(FACT[n-1]) for i in range(n-2, -1, -1): INV_FACT[i] = multiply(INV_FACT[i+1], i+1) def coeffBinom(n, k): if n < k: return 0 return multiply(FACT[n], multiply(INV_FACT[k], INV_FACT[n-k])) ###################### #### GRAPH ALGOS ##### ###################### # ZERO BASED GRAPH def create_graph(n, m, undirected = 1, unweighted = 1): graph = [[] for i in range(n)] if unweighted: for i in range(m): [x, y] = li(lag = -1) graph[x].append(y) if undirected: graph[y].append(x) else: for i in range(m): [x, y, w] = li(lag = -1) w += 1 graph[x].append([y,w]) if undirected: graph[y].append([x,w]) return graph def create_tree(n, unweighted = 1): children = [[] for i in range(n)] if unweighted: for i in range(n-1): [x, y] = li(lag = -1) children[x].append(y) children[y].append(x) else: for i in range(n-1): [x, y, w] = li(lag = -1) w += 1 children[x].append([y, w]) children[y].append([x, w]) return children def dist(tree, n, A, B = -1): s = [[A, 0]] massimo, massimo_nodo = 0, 0 distanza = -1 v = [-1] * n while s: el, dis = s.pop() if dis > massimo: massimo = dis massimo_nodo = el if el == B: distanza = dis for child in tree[el]: if v[child] == -1: v[child] = 1 s.append([child, dis+1]) return massimo, massimo_nodo, distanza def diameter(tree): _, foglia, _ = dist(tree, n, 0) diam, _, _ = dist(tree, n, foglia) return diam def dfs(graph, n, A): v = [-1] * n s = [[A, 0]] v[A] = 0 while s: el, dis = s.pop() for child in graph[el]: if v[child] == -1: v[child] = dis + 1 s.append([child, dis + 1]) return v #visited: -1 if not visited, otherwise v[B] is the distance in terms of edges def bfs(graph, n, A): v = [-1] * n s = deque() s.append([A, 0]) v[A] = 0 while s: el, dis = s.popleft() for child in graph[el]: if v[child] == -1: v[child] = dis + 1 s.append([child, dis + 1]) return v #visited: -1 if not visited, otherwise v[B] is the distance in terms of edges #FROM A GIVEN ROOT, RECOVER THE STRUCTURE def parents_children_root_unrooted_tree(tree, n, root = 0): q = deque() visited = [0] * n parent = [-1] * n children = [[] for i in range(n)] q.append(root) while q: all_done = 1 visited[q[0]] = 1 for child in tree[q[0]]: if not visited[child]: all_done = 0 q.appendleft(child) if all_done: for child in tree[q[0]]: if parent[child] == -1: parent[q[0]] = child children[child].append(q[0]) q.popleft() return parent, children # CALCULATING LONGEST PATH FOR ALL THE NODES def all_longest_path_passing_from_node(parent, children, n): q = deque() visited = [len(children[i]) for i in range(n)] downwards = [[0,0] for i in range(n)] upward = [1] * n longest_path = [1] * n for i in range(n): if not visited[i]: q.append(i) downwards[i] = [1,0] while q: node = q.popleft() if parent[node] != -1: visited[parent[node]] -= 1 if not visited[parent[node]]: q.append(parent[node]) else: root = node for child in children[node]: downwards[node] = sorted([downwards[node][0], downwards[node][1], downwards[child][0] + 1], reverse = True)[0:2] s = [node] while s: node = s.pop() if parent[node] != -1: if downwards[parent[node]][0] == downwards[node][0] + 1: upward[node] = 1 + max(upward[parent[node]], downwards[parent[node]][1]) else: upward[node] = 1 + max(upward[parent[node]], downwards[parent[node]][0]) longest_path[node] = downwards[node][0] + downwards[node][1] + upward[node] - min([downwards[node][0], downwards[node][1], upward[node]]) - 1 for child in children[node]: s.append(child) return longest_path ### TBD SUCCESSOR GRAPH 7.5 ### TBD TREE QUERIES 10.2 da 2 a 4 ### TBD ADVANCED TREE 10.3 ### TBD GRAPHS AND MATRICES 11.3.3 e 11.4.3 e 11.5.3 (ON GAMES) ###################### ## END OF LIBRARIES ## ###################### n = ii() a = li() S = [0] for i in range(n): S.append(S[-1] + a[i]) massimo = 0 right = n-1 current = 0 left = n-1 while left > -1: if current >= 0: current += S[right + 1] - S[left] massimo = max(current, massimo) left -= 1 else: right = left current = 0 print(massimo) ```
instruction
0
28,658
19
57,316
No
output
1
28,658
19
57,317
Provide a correct Python 3 solution for this coding contest problem. Takahashi has many red balls and blue balls. Now, he will place them in a row. Initially, there is no ball placed. Takahashi, who is very patient, will do the following operation 10^{100} times: * Place A blue balls at the end of the row of balls already placed. Then, place B red balls at the end of the row. How many blue balls will be there among the first N balls in the row of balls made this way? Constraints * 1 \leq N \leq 10^{18} * A, B \geq 0 * 0 < A + B \leq 10^{18} * All values in input are integers. Input Input is given from Standard Input in the following format: N A B Output Print the number of blue balls that will be there among the first N balls in the row of balls. Examples Input 8 3 4 Output 4 Input 8 0 4 Output 0 Input 6 2 4 Output 2
instruction
0
28,862
19
57,724
"Correct Solution: ``` n,a,b=map(int,input().split()) k=n%(a+b) if k>=a:k=a print(n//(a+b)*a+k) ```
output
1
28,862
19
57,725
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,491
19
58,982
Tags: implementation Correct Solution: ``` data = input().rstrip().split() n = int(data[0]) s = int(data[1]) su = 0 ma = 0 data = input().rstrip().split() for i in range(n): a = int(data[i]) su += a if ma < a: ma = a su -= ma print('YES' if su <= s else 'NO') ```
output
1
29,491
19
58,983
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,492
19
58,984
Tags: implementation Correct Solution: ``` o=0 n,s=map(int,input().split()) a=[int(i) for i in input().split()] a=sorted(a) for i in range(0,n-1): o+=a[i] if o>s: print('NO') else: print('YES') ```
output
1
29,492
19
58,985
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,493
19
58,986
Tags: implementation Correct Solution: ``` """ instagram : essipoortahmasb2018 telegram channel : essi_python """ n,s=map(int,input().split()) l=[*map(int,input().split())] if sum(l)-max(l)<=s: print("YES") else: print("NO") ```
output
1
29,493
19
58,987
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,494
19
58,988
Tags: implementation Correct Solution: ``` n, s = map(int, input().split()) a = list(map(int, input().split())) a.sort() if sum(a[:n-1]) > s: print("NO") else: print("YES") ```
output
1
29,494
19
58,989
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,495
19
58,990
Tags: implementation Correct Solution: ``` import math n,m=map(int,input().split()) ara=list(map(int,input().split())) sum=0 mx=0 for i in range(n): sum+=ara[i] mx=max(mx,ara[i]) sum-=mx print('YES' if sum<=m else 'NO') ```
output
1
29,495
19
58,991
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,496
19
58,992
Tags: implementation Correct Solution: ``` n,m=map(int,input().split()) l=[] a=(list(map(int,input().split()))) a.sort() for i in range(n-1): l.append(a[i]) if sum(l)<=m: print("YES") else: print("NO") ```
output
1
29,496
19
58,993
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,497
19
58,994
Tags: implementation Correct Solution: ``` q=lambda:map(int,input().split()) qi=lambda:int(input()) qs=lambda:input().split() n,m=q() print("YES" if sum(sorted([*q()])[:-1])<=m else "NO") ```
output
1
29,497
19
58,995
Provide tags and a correct Python 3 solution for this coding contest problem. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO
instruction
0
29,498
19
58,996
Tags: implementation Correct Solution: ``` a,b=map(int,input().split()) l=list(map(int,input().split())) l.sort() if sum(l[:a-1])<=b:print("YES") else:print("NO") ```
output
1
29,498
19
58,997
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` import sys from math import * readints=lambda:map(int, input().strip('\n').split()) n,m=readints() a=list(readints()) a.sort() a.pop() if not a or sum(a)<=m: print("YES") else: print("NO") ```
instruction
0
29,499
19
58,998
Yes
output
1
29,499
19
58,999
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` def main(): n,m = [int(v) for v in input().split()] vals = [int(v) for v in input().split()] d = sum(vals)-max(vals) if d<=m: print("YES") else: print("NO") if __name__ == "__main__": main() ```
instruction
0
29,500
19
59,000
Yes
output
1
29,500
19
59,001
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` n,s = map(int,input().split()) a = map(int,input().split()) s_a=sorted(a) t=0 for i in range(n-1): t+=s_a[i] print('YES' if t<=s else 'NO') ```
instruction
0
29,501
19
59,002
Yes
output
1
29,501
19
59,003
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` N , V = map(int, input().split()) chars = [int(x) for x in input().split()] count = 0 chars.sort() yo = 0 for i in range(0, len(chars)-1): yo = yo + chars[i] if yo <= V: print ("YES") else: print ("NO") ```
instruction
0
29,502
19
59,004
Yes
output
1
29,502
19
59,005
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` n,m=map(int,input().split()) a=list(map(int,input().split())) for i in range(n): if a[i]>=m: print("NO") break else: print("YES") ```
instruction
0
29,503
19
59,006
No
output
1
29,503
19
59,007
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` n, k = map(int , input().split()) l = list(map(int , input().split())) print(['NO','YES'][sum(i < k for i in l ) == n]) ```
instruction
0
29,504
19
59,008
No
output
1
29,504
19
59,009
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` n, s = map(int, input().split()) t = list(map(int, input().split())) if sum(t[:n - 1]) <= s: print("YES") else: print("NO") ```
instruction
0
29,505
19
59,010
No
output
1
29,505
19
59,011
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sereja showed an interesting game to his friends. The game goes like that. Initially, there is a table with an empty cup and n water mugs on it. Then all players take turns to move. During a move, a player takes a non-empty mug of water and pours all water from it into the cup. If the cup overfills, then we assume that this player lost. As soon as Sereja's friends heard of the game, they wanted to play it. Sereja, on the other hand, wanted to find out whether his friends can play the game in such a way that there are no losers. You are given the volumes of all mugs and the cup. Also, you know that Sereja has (n - 1) friends. Determine if Sereja's friends can play the game so that nobody loses. Input The first line contains integers n and s (2 ≤ n ≤ 100; 1 ≤ s ≤ 1000) — the number of mugs and the volume of the cup. The next line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10). Number ai means the volume of the i-th mug. Output In a single line, print "YES" (without the quotes) if his friends can play in the described manner, and "NO" (without the quotes) otherwise. Examples Input 3 4 1 1 1 Output YES Input 3 4 3 1 3 Output YES Input 3 4 4 4 4 Output NO Submitted Solution: ``` n,s=map(int,input().split()) a=list(map(int,input().strip().split()))[:n] ans="" for i in range(0,n): if a[i]>=s: ans="NO" else: ans="YES" print(ans) ```
instruction
0
29,506
19
59,012
No
output
1
29,506
19
59,013
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,611
19
59,222
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` data = input().split(' ') n, m = map(int, data) p_set = set() v_set = set() for _ in range(n): p_set.add(input()) for _ in range(m): v_set.add(input()) u_set = p_set & v_set if n + len(u_set) % 2 <= m: print('NO') else: print('YES') ```
output
1
29,611
19
59,223
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,612
19
59,224
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` from collections import defaultdict n, m = map(int, input().split()) g, b = [], [] sim = 0 in_g, in_b = defaultdict(lambda: False), defaultdict(lambda: False) for i in range(n): g.append(input()) in_g[g[i]] = True for j in range(m): b.append(input()) if in_g[b[j]]: sim += 1 if n > m: print("YES") elif m > n: print("NO") else: if sim % 2 == 0: print('NO') else: print('YES') ```
output
1
29,612
19
59,225
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,613
19
59,226
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` k = input().split() n, m = int(k[0]), int(k[1]) s = set() for i in range(n) : x = input() s.add(x) for i in range(m) : x = input() s.add(x) l = len(s) if(l % 2 == 0) : if(n > m) : print("YES") else : print("NO") else : if(n < m) : print("NO") else : print("YES") ```
output
1
29,613
19
59,227
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,614
19
59,228
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` n, m = map(int, input().split()) a = set() ama, amb, am2 = n, m, 0 for i in range(n): a.add(input()) for i in range(m): s = input() if s in a: ama -= 1 amb -= 1 am2 += 1 xtr = am2 % 2 if ama + xtr > amb: print("YES") else: print("NO") ```
output
1
29,614
19
59,229
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,615
19
59,230
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` if __name__ == '__main__': n, m = map(int, input().split()) poland,empty = {},{} for _ in range(n): st = str(input()) poland[st] = 1 for _ in range(m): st = str(input()) empty[st] = 1 turn = 1 common_count = 0 for i in poland: if empty.get(i) != None: common_count += 1 n = n - common_count m = m - common_count if common_count % 2 == 0: turn = 1 else: turn = 2 if turn == 1: if n > m: print("YES") else: print("NO") else: if m > n: print("NO") else: print("YES") ```
output
1
29,615
19
59,231
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,616
19
59,232
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` n,m=[int(i) for i in input().split()] p,e=set([]),set([]) for i in range(n): p.add(input()) for i in range(m): e.add(input()) tyo=p&e n-=len(tyo) m-=len(tyo) if n+len(tyo)%2>m: print('YES') else: print('NO') ```
output
1
29,616
19
59,233
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,617
19
59,234
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` s=input().split() n,m=int(s[0]),int(s[1]) l=[] for i in range(n): l.append(input()) c=0 for i in range(m): s=input() if s in l: c+=1 x=n-c+c//2+c%2 y=m-c+c//2 if x>y: print('YES') else: print('NO') ```
output
1
29,617
19
59,235
Provide tags and a correct Python 3 solution for this coding contest problem. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins.
instruction
0
29,618
19
59,236
Tags: binary search, data structures, games, greedy, sortings, strings Correct Solution: ``` n, m = map(int, input().split()) n_set = set() m_set = set() for _ in range(n): n_set.add(input()) for _ in range(m): m_set.add(input()) inter = len(n_set.intersection(m_set)) n_diff = len(n_set) - inter m_diff = len(m_set) - inter if inter == 0: if n_diff > m_diff: print('YES') else: print('NO') else: # inter != 0 if n_diff > m_diff: print('YES') elif n_diff < m_diff: print('NO') # I guess? else: if (inter % 2 == 0): print('NO') else: print('YES') ```
output
1
29,618
19
59,237
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` def ip(): return int(input()) def sip(): return input() def mip(): return map(int,input().split()) def lip(): return list(map(int,input().split())) def matip(n,m): lst=[] for i in range(n): arr = lip() lst.append(arr) return lst n,m = mip() lst=[] arr = [] for i in range(n): s = sip() lst.append(s) for i in range(m): s = sip() arr.append(s) if n>m: print('YES') elif m>n: print('NO') else: lst = set(lst) arr = set(arr) arr = set(arr.intersection(lst)) if len(arr)%2==0: print("NO") else: print("YES") ```
instruction
0
29,619
19
59,238
Yes
output
1
29,619
19
59,239
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` n, m = map(int, input().split()) p, e = {input() for i in range(n)}, {input() for i in range(m)} print('YES' if len(p - e) + len(p & e) % 2 > len(e - p) else 'NO') # Made By Mostafa_Khaled ```
instruction
0
29,620
19
59,240
Yes
output
1
29,620
19
59,241
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` import copy n,m=list(map(int,input().split())) pol=[] en=[] for i in range(n): pol.append(input().strip()) for i in range(m): en.append(input().strip()) pol2=copy.deepcopy(pol) en2=copy.deepcopy(en) parity=0 if n<m: for p in pol: if p in en2: if parity%2==0: en2.remove(p) else: pol2.remove(p) parity+=1 else: for p in en: if p in pol2: if parity%2==0: en2.remove(p) else: pol2.remove(p) parity+=1 if len(pol2)>len(en2): print('YES') else: print('NO') ```
instruction
0
29,621
19
59,242
Yes
output
1
29,621
19
59,243
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` def getWinner(polandWords, enemyWords): '''if len(polandWords) > len(enemyWords): return "YES" if len(polandWords) < len(enemyWords): return "NO" ''' k = 0; for word in polandWords: if enemyWords.get(word): k+=1; n = len(polandWords) - k m = len(enemyWords) - k if k % 2 == 1: n += (int(k/2) + 1) m += (int(k/2)) else: n += (int(k/2)) m += (int(k/2)) if n > m: return "YES" else: return "NO" def main(): mn = input() temp = mn.split(" "); n = int(temp[0]); m = int(temp[1]); polandWords = {} enemyWords = {} for i in range(0,n): polandWords[input()] = 1 for i in range(0,m): enemyWords[input()] = 1 print(getWinner(polandWords,enemyWords)); if __name__ == "__main__": main(); ```
instruction
0
29,622
19
59,244
Yes
output
1
29,622
19
59,245
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` import sys input = sys.stdin.readline n, m = input().split() n = int(n) m = int(m) polW = [] eneW = [] for i in range(n): polW.append(input()) for i in range(m): word = input() if word in polW: del(polW[polW.index(word)]) else: eneW.append(word) if len(polW) != len(eneW): if len(polW) > len(eneW): print("YES") else: print("NO") else: print("NO") ```
instruction
0
29,623
19
59,246
No
output
1
29,623
19
59,247
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` p, v = map(int, input().split()) WORDS_P = [] WORDS_V = [] WORDS = [] for i in range(p): WORDS_P.append(input()) if WORDS_P[i] not in WORDS: WORDS.append(WORDS_P[i]) for i in range(v): WORDS_V.append(input()) if WORDS_V[i] not in WORDS: WORDS.append(WORDS_V[i]) if len(WORDS) % 2 == 0: print('YES') else: print('NO') ```
instruction
0
29,624
19
59,248
No
output
1
29,624
19
59,249
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` n, m = map(int, input().split()) s1 = set() for _ in range(n): s1.add(input()) s2 = set() for _ in range(m): s2.add(input()) nm = len(s1 & s2) if n + (1 if nm%2==0 else 0) > m: print('YES') else: print('NO') ```
instruction
0
29,625
19
59,250
No
output
1
29,625
19
59,251
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. PolandBall is playing a game with EnemyBall. The rules are simple. Players have to say words in turns. You cannot say a word which was already said. PolandBall starts. The Ball which can't say a new word loses. You're given two lists of words familiar to PolandBall and EnemyBall. Can you determine who wins the game, if both play optimally? Input The first input line contains two integers n and m (1 ≤ n, m ≤ 103) — number of words PolandBall and EnemyBall know, respectively. Then n strings follow, one per line — words familiar to PolandBall. Then m strings follow, one per line — words familiar to EnemyBall. Note that one Ball cannot know a word more than once (strings are unique), but some words can be known by both players. Each word is non-empty and consists of no more than 500 lowercase English alphabet letters. Output In a single line of print the answer — "YES" if PolandBall wins and "NO" otherwise. Both Balls play optimally. Examples Input 5 1 polandball is a cool character nope Output YES Input 2 2 kremowka wadowicka kremowka wiedenska Output YES Input 1 2 a a b Output NO Note In the first example PolandBall knows much more words and wins effortlessly. In the second example if PolandBall says kremowka first, then EnemyBall cannot use that word anymore. EnemyBall can only say wiedenska. PolandBall says wadowicka and wins. Submitted Solution: ``` n, m = list(map(int, input().split())) a = {input() for x in range(n)} b = {input() for x in range(m)} c = b - a if len(c) >= len(a): print("NO") else: print("YES") ```
instruction
0
29,626
19
59,252
No
output
1
29,626
19
59,253
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,743
19
59,486
"Correct Solution: ``` N = int(input()) A = list(map(int, input().split())) A.sort(reverse=True) ans = A[0] for i in range(N-2): ans += A[i//2+1] print(ans) ```
output
1
29,743
19
59,487
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,744
19
59,488
"Correct Solution: ``` n,*l=map(int,open(0).read().split());print(sum(sorted(l*2)[-2:~n:-1])) ```
output
1
29,744
19
59,489
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,745
19
59,490
"Correct Solution: ``` N = int(input()) A = sorted(list(map(int,input().split())),reverse=True) ans = 0 for i in range(1,N): ans += A[i//2] print(ans) ```
output
1
29,745
19
59,491
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,746
19
59,492
"Correct Solution: ``` n = int(input()) a = sorted(map(int, input().split()), reverse=True) res = 0 res += a[0] for i in range(2, n): res += a[i//2] print(res) ```
output
1
29,746
19
59,493
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,747
19
59,494
"Correct Solution: ``` N, *A = map(int, open(0).read().split()) A.sort(reverse=True) print(2 * sum(A[:N // 2]) - A[0] + (A[N // 2] if N % 2 == 1 else 0)) ```
output
1
29,747
19
59,495
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,748
19
59,496
"Correct Solution: ``` N = int(input()) A = list(map(int,input().split())) A.sort(reverse=True) ans = 0 for i in range(1,N): ans += A[i//2] print(ans) ```
output
1
29,748
19
59,497
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,749
19
59,498
"Correct Solution: ``` # coding: utf-8 # Your code here! N=int(input()) A=list(map(int,input().split())) A+=A A.sort(reverse=True) print(sum(A[1:N])) ```
output
1
29,749
19
59,499
Provide a correct Python 3 solution for this coding contest problem. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6
instruction
0
29,750
19
59,500
"Correct Solution: ``` n=int(input()) c=list(map(int, input().split())) c = sorted(c) ans = 0 for i in range(1,len(c)): ans += c[len(c) - 1 - i//2] print(ans) ```
output
1
29,750
19
59,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i. The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere. When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0. What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into? Constraints * All values in input are integers. * 2 \leq N \leq 2 \times 10^5 * 1 \leq A_i \leq 10^9 Input Input is given from Standard Input in the following format: N A_1 A_2 \dots A_N Output Print the maximum total comfort the N players can get. Examples Input 4 2 2 1 3 Output 7 Input 7 1 1 1 1 1 1 1 Output 6 Submitted Solution: ``` n = int(input()) a = [int(i) for i in input().split()] a.sort(reverse=True) ans = 0 for i in range(1, n): ans += a[i // 2] print(ans) ```
instruction
0
29,751
19
59,502
Yes
output
1
29,751
19
59,503