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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Create a program that inputs the test result data of the visual acuity test and outputs the number of people who apply to each judgment based on the following visual acuity judgment table for each of the left and right eyesight. Judgment | Sight --- | --- A | 1.1 or above B | 0.6 or more and less than 1.1 C | 0.2 or more and less than 0.6 D | less than 0.2 Input The input is given in the following format: l1 r1 l2 r2 l3 r3 :: :: On line i, the real number li, which represents the left visual acuity of the i-th person, and the real number ri, which represents the right visual acuity, are given, separated by blanks. However, visual acuity is 0.1 or more and 2.0 or less, and is given in 0.1 increments. The number of lines of input does not exceed 40. Output Please output the judgment table in the following format. Line 1 Left eyesight is the number of people A Right eyesight is the number of people (separated by blanks) 2nd line The number of people whose left eyesight is B The number of people whose right eyesight is B (separated by blanks) 3rd line The number of people whose left eyesight is C 4th line Number of people with left eyesight D Number of people with right eyesight D (separated by blanks) Example Input 1.0 1.2 0.8 1.5 1.2 0.7 2.0 2.0 Output 2 3 2 1 0 0 0 0 Submitted Solution: ``` # -*- coding: utf-8 -*- import sys import os A = [0, 0] B = [0, 0] C = [0, 0] D = [0, 0] for s in sys.stdin: l, r = map(float, s.split()) if l >= 1.1: A[0] += 1 elif l >= 0.6: B[0] += 1 elif l >= 0.2: C[0] += 1 else: D[0] += 1 if r >= 1.1: A[1] += 1 elif l >= 0.6: B[1] += 1 elif l >= 0.2: C[1] += 1 else: D[1] += 1 print(*A) print(*B) print(*C) print(*D) ```
instruction
0
32,414
11
64,828
No
output
1
32,414
11
64,829
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Create a program that inputs the test result data of the visual acuity test and outputs the number of people who apply to each judgment based on the following visual acuity judgment table for each of the left and right eyesight. Judgment | Sight --- | --- A | 1.1 or above B | 0.6 or more and less than 1.1 C | 0.2 or more and less than 0.6 D | less than 0.2 Input The input is given in the following format: l1 r1 l2 r2 l3 r3 :: :: On line i, the real number li, which represents the left visual acuity of the i-th person, and the real number ri, which represents the right visual acuity, are given, separated by blanks. However, visual acuity is 0.1 or more and 2.0 or less, and is given in 0.1 increments. The number of lines of input does not exceed 40. Output Please output the judgment table in the following format. Line 1 Left eyesight is the number of people A Right eyesight is the number of people (separated by blanks) 2nd line The number of people whose left eyesight is B The number of people whose right eyesight is B (separated by blanks) 3rd line The number of people whose left eyesight is C 4th line Number of people with left eyesight D Number of people with right eyesight D (separated by blanks) Example Input 1.0 1.2 0.8 1.5 1.2 0.7 2.0 2.0 Output 2 3 2 1 0 0 0 0 Submitted Solution: ``` lvl = [1.1, 0.6, 0.2, 0.0] rst = [[0]*4 for _ in range(2)] eyes = [] while True: try: l,r = map(float,input().strip().split()) eyes.append([l,r]) except EOFError: break for e in eyes: for lr in range(2): for l in range(len(lvl)): if e[lr]>=lvl[l]: rst[lr][l] += 1 break else: raise ValueError('Do not come here') for lv in range(len(lvl)): print(rst[0][lv]," ",rst[1][lv]) ```
instruction
0
32,415
11
64,830
No
output
1
32,415
11
64,831
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Create a program that inputs the test result data of the visual acuity test and outputs the number of people who apply to each judgment based on the following visual acuity judgment table for each of the left and right eyesight. Judgment | Sight --- | --- A | 1.1 or above B | 0.6 or more and less than 1.1 C | 0.2 or more and less than 0.6 D | less than 0.2 Input The input is given in the following format: l1 r1 l2 r2 l3 r3 :: :: On line i, the real number li, which represents the left visual acuity of the i-th person, and the real number ri, which represents the right visual acuity, are given, separated by blanks. However, visual acuity is 0.1 or more and 2.0 or less, and is given in 0.1 increments. The number of lines of input does not exceed 40. Output Please output the judgment table in the following format. Line 1 Left eyesight is the number of people A Right eyesight is the number of people (separated by blanks) 2nd line The number of people whose left eyesight is B The number of people whose right eyesight is B (separated by blanks) 3rd line The number of people whose left eyesight is C 4th line Number of people with left eyesight D Number of people with right eyesight D (separated by blanks) Example Input 1.0 1.2 0.8 1.5 1.2 0.7 2.0 2.0 Output 2 3 2 1 0 0 0 0 Submitted Solution: ``` ld, rd = [0, 0, 0, 0]. [0, 0, 0, 0] while True: try: l, r = map(float, input().split()) if l < 0.2: ld[3] += 1 elif l < 0.6: ld[2] += 1 elif l < 1.1: ld[1] += 1 else: ld[0] += 1 if r < 0.2: rd[3] += 1 elif r < 0.6: rd[2] += 1 elif r < 1.1: rd[1] += 1 else: rd[0] += 1 except: break for l, r in zip(ld, rd): print(l, r) ```
instruction
0
32,416
11
64,832
No
output
1
32,416
11
64,833
Provide a correct Python 3 solution for this coding contest problem. Currently, people's entertainment is limited to programming contests. The activity of the entertainment club of a junior high school to which she belongs is to plan and run a programming contest. Her job is not to create problems. It's a behind-the-scenes job of soliciting issues from many, organizing referees, and promoting the contest. Unlike charismatic authors and prominent algorithms, people who do such work rarely get the light. She took pride in her work, which had no presence but was indispensable. The entertainment department is always looking for problems, and these problems are classified into the following six types. * Math * Greedy * Geometry * DP * Graph * Other Fortunately, there were so many problems that she decided to hold a lot of contests. The contest consists of three questions, but she decided to hold four types of contests to make the contest more educational. 1. Math Game Contest: A set of 3 questions including Math and DP questions 2. Algorithm Game Contest: A set of 3 questions, including Greedy questions and Graph questions. 3. Implementation Game Contest: A set of 3 questions including Geometry questions and Other questions 4. Well-balanced contest: 1 question from Math or DP, 1 question from Greedy or Graph, 1 question from Geometry or Other, a total of 3 question sets Of course, questions in one contest cannot be asked in another. Her hope is to hold as many contests as possible. I know the stock numbers for the six questions, but how many times can I hold a contest? This is a difficult problem for her, but as a charismatic algorithm, you should be able to solve it. Input The input consists of multiple cases. Each case is given in the following format. nMath nGreedy nGeometry nDP nGraph nOther The value of each input represents the number of stocks of each type of problem. The end of input 0 0 0 0 0 0 Given by a line consisting of. Each value satisfies the following conditions. nMath + nGreedy + nGeometry + nDP + nGraph + nOther ≤ 100,000,000 The number of test cases does not exceed 20,000. Output Output the maximum number of contests that can be held on one line. Example Input 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 3 0 0 3 0 0 3 1 0 1 3 1 1 2 0 2 0 1 0 0 1 1 0 3 1 0 0 1 1 0 0 0 0 0 0 0 Output 2 1 1 2 3 1 1 0
instruction
0
32,443
11
64,886
"Correct Solution: ``` while True: ns = list(map(int, input().split())) if not any(ns): break a = ns[0] + ns[3] b = ns[1] + ns[4] c = ns[2] + ns[5] av, ar = a // 3, a % 3 bv, br = b // 3, b % 3 cv, cr = c // 3, c % 3 if max(ar, br, cr) == 0: print(av + bv + cv) elif max(ar, br, cr) == 1: print(av + bv + cv + min(ar, br, cr)) elif max(ar, br, cr) == 2: if [ar, br, cr].count(2) == 3: print(av + bv + cv + 2) elif [ar, br, cr].count(2) == 2: for xr, xv in ((ar, av), (br, bv), (cr, cv)): if xr == 2: continue if xv == 0: print(av + bv + cv + xr) else: print(av + bv + cv + 1) break else: print(av + bv + cv + min(ar, br, cr)) ```
output
1
32,443
11
64,887
Provide a correct Python 3 solution for this coding contest problem. Currently, people's entertainment is limited to programming contests. The activity of the entertainment club of a junior high school to which she belongs is to plan and run a programming contest. Her job is not to create problems. It's a behind-the-scenes job of soliciting issues from many, organizing referees, and promoting the contest. Unlike charismatic authors and prominent algorithms, people who do such work rarely get the light. She took pride in her work, which had no presence but was indispensable. The entertainment department is always looking for problems, and these problems are classified into the following six types. * Math * Greedy * Geometry * DP * Graph * Other Fortunately, there were so many problems that she decided to hold a lot of contests. The contest consists of three questions, but she decided to hold four types of contests to make the contest more educational. 1. Math Game Contest: A set of 3 questions including Math and DP questions 2. Algorithm Game Contest: A set of 3 questions, including Greedy questions and Graph questions. 3. Implementation Game Contest: A set of 3 questions including Geometry questions and Other questions 4. Well-balanced contest: 1 question from Math or DP, 1 question from Greedy or Graph, 1 question from Geometry or Other, a total of 3 question sets Of course, questions in one contest cannot be asked in another. Her hope is to hold as many contests as possible. I know the stock numbers for the six questions, but how many times can I hold a contest? This is a difficult problem for her, but as a charismatic algorithm, you should be able to solve it. Input The input consists of multiple cases. Each case is given in the following format. nMath nGreedy nGeometry nDP nGraph nOther The value of each input represents the number of stocks of each type of problem. The end of input 0 0 0 0 0 0 Given by a line consisting of. Each value satisfies the following conditions. nMath + nGreedy + nGeometry + nDP + nGraph + nOther ≤ 100,000,000 The number of test cases does not exceed 20,000. Output Output the maximum number of contests that can be held on one line. Example Input 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 3 0 0 3 0 0 3 1 0 1 3 1 1 2 0 2 0 1 0 0 1 1 0 3 1 0 0 1 1 0 0 0 0 0 0 0 Output 2 1 1 2 3 1 1 0
instruction
0
32,444
11
64,888
"Correct Solution: ``` # AOJ 1077: The Great Summer Contest # Python3 2018.7.10 bal4u while True: n, k, f = [0]*3, [0]*3, [0]*3 a = list(map(int, input().split())) if sum(a) == 0: break for i in range(3): n[i] += a[i]+a[3+i] ans = 0 for i in range(3): if n[i] >= 3: f[i] = 1 ans += n[i]//3 n[i] %= 3 k[n[i]] += 1 if k[0] > 0: if k[2] == 2: i = 0 while n[i]: i += 1 if f[i]: ans += 1 elif k[1] > 0: ans += 1 elif k[2] > 0: ans += 2 print(ans) ```
output
1
32,444
11
64,889
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Currently, people's entertainment is limited to programming contests. The activity of the entertainment club of a junior high school to which she belongs is to plan and run a programming contest. Her job is not to create problems. It's a behind-the-scenes job of soliciting issues from many, organizing referees, and promoting the contest. Unlike charismatic authors and prominent algorithms, people who do such work rarely get the light. She took pride in her work, which had no presence but was indispensable. The entertainment department is always looking for problems, and these problems are classified into the following six types. * Math * Greedy * Geometry * DP * Graph * Other Fortunately, there were so many problems that she decided to hold a lot of contests. The contest consists of three questions, but she decided to hold four types of contests to make the contest more educational. 1. Math Game Contest: A set of 3 questions including Math and DP questions 2. Algorithm Game Contest: A set of 3 questions, including Greedy questions and Graph questions. 3. Implementation Game Contest: A set of 3 questions including Geometry questions and Other questions 4. Well-balanced contest: 1 question from Math or DP, 1 question from Greedy or Graph, 1 question from Geometry or Other, a total of 3 question sets Of course, questions in one contest cannot be asked in another. Her hope is to hold as many contests as possible. I know the stock numbers for the six questions, but how many times can I hold a contest? This is a difficult problem for her, but as a charismatic algorithm, you should be able to solve it. Input The input consists of multiple cases. Each case is given in the following format. nMath nGreedy nGeometry nDP nGraph nOther The value of each input represents the number of stocks of each type of problem. The end of input 0 0 0 0 0 0 Given by a line consisting of. Each value satisfies the following conditions. nMath + nGreedy + nGeometry + nDP + nGraph + nOther ≤ 100,000,000 The number of test cases does not exceed 20,000. Output Output the maximum number of contests that can be held on one line. Example Input 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 3 0 0 3 0 0 3 1 0 1 3 1 1 2 0 2 0 1 0 0 1 1 0 3 1 0 0 1 1 0 0 0 0 0 0 0 Output 2 1 1 2 3 1 1 0 Submitted Solution: ``` # AOJ 1077: The Great Summer Contest # Python3 2018.7.10 bal4u while True: n, k, f = [0]*3, [0]*3, [0]*3 a = list(map(int, input().split())) if sum(a) == 0: break for i in range(3): n[i] += a[i]+a[3+i] ans = 0 for i in range(3): if n[i] >= 3: f[i] = 1 ans += n[i]//3 n[i] %= 3 k[n[i]] += 1 if k[0] > 0: if k[2] == 2: for i in range(3): if n[i] == 0: break if f[i]: ans += 1 elif k[1] > 0: ans += 1 elif k[2] > 0: ans += 2 print(ans) ```
instruction
0
32,445
11
64,890
No
output
1
32,445
11
64,891
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Example Input 2 10 10 Output 40.00000000 Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 998244353 dd = [(0,-1),(1,0),(0,1),(-1,0)] ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): rr = [] while True: n = I() a = LI() t = [a[0]] for c in a[1:]: b = t[-1] if b <= c: t.append(c) continue tt = b - c k = ((b+c) ** 2 - tt**2) ** 0.5 if k > b: t.append(c) a = t[::-1] t = [a[0]] for c in a[1:]: b = t[-1] if b <= c: t.append(c) continue tt = b - c k = ((b+c) ** 2 - tt**2) ** 0.5 if k > b: t.append(c) a = t[::-1] l = len(a) if l == 1: rr.append(a[0]*2) break r = a[0] + a[-1] for i in range(l-1): b = a[i] c = a[i+1] if b == c: r += b + c continue t = abs(b-c) r += ((b+c) ** 2 - t**2) ** 0.5 rr.append('{:00.9f}'.format(r)) break return '\n'.join(map(str, rr)) print(main()) ```
instruction
0
32,448
11
64,896
No
output
1
32,448
11
64,897
Provide a correct Python 3 solution for this coding contest problem. Problem Statement Nathan O. Davis is a student at the department of integrated systems. Today's agenda in the class is audio signal processing. Nathan was given a lot of homework out. One of the homework was to write a program to process an audio signal. He copied the given audio signal to his USB memory and brought it back to his home. When he started his homework, he unfortunately dropped the USB memory to the floor. He checked the contents of the USB memory and found that the audio signal data got broken. There are several characteristics in the audio signal that he copied. * The audio signal is a sequence of $N$ samples. * Each sample in the audio signal is numbered from $1$ to $N$ and represented as an integer value. * Each value of the odd-numbered sample(s) is strictly smaller than the value(s) of its neighboring sample(s). * Each value of the even-numbered sample(s) is strictly larger than the value(s) of its neighboring sample(s). He got into a panic and asked you for a help. You tried to recover the audio signal from his USB memory but some samples of the audio signal are broken and could not be recovered. Fortunately, you found from the metadata that all the broken samples have the same integer value. Your task is to write a program, which takes the broken audio signal extracted from his USB memory as its input, to detect whether the audio signal can be recovered uniquely. Input The input consists of multiple datasets. The form of each dataset is described below. > $N$ > $a_{1}$ $a_{2}$ ... $a_{N}$ The first line of each dataset consists of an integer, $N (2 \le N \le 1{,}000)$. $N$ denotes the number of samples in the given audio signal. The second line of each dataset consists of $N$ values separated by spaces. The $i$-th value, $a_{i}$, is either a character `x` or an integer between $-10^9$ and $10^9$, inclusive. It represents the $i$-th sample of the broken audio signal. If $a_{i}$ is a character `x` , it denotes that $i$-th sample in the audio signal is broken. Otherwise it denotes the value of the $i$-th sample. The end of input is indicated by a single $0$. This is not included in the datasets. You may assume that the number of the datasets does not exceed $100$. Output For each dataset, output the value of the broken samples in one line if the original audio signal can be recovered uniquely. If there are multiple possible values, output `ambiguous`. If there are no possible values, output `none`. Sample Input 5 1 x 2 4 x 2 x x 2 1 2 2 2 1 2 1000000000 x 4 x 2 1 x 0 Output for the Sample Input 3 none ambiguous none ambiguous none Example Input 5 1 x 2 4 x 2 x x 2 1 2 2 2 1 2 1000000000 x 4 x 2 1 x 0 Output 3 none ambiguous none ambiguous none
instruction
0
32,454
11
64,908
"Correct Solution: ``` INF = float('inf') def judge(src): x_max = INF x_min = -INF for i,(s1,s2) in enumerate(zip(src,src[1:])): if s1 == s2: return 'none' if i%2: s1,s2 = s2,s1 if s1 != 'x' and s2 != 'x': if s1 < s2: return 'none' else: continue if s1 == 'x': if x_max <= s2: return 'none' x_min = max(x_min, s2 + 1) elif s2 == 'x': if s1 <= x_min: return 'none' x_max = min(x_max, s1 - 1) if x_max < x_min: return 'none' return x_max if x_max == x_min else 'ambiguous' while True: N = int(input()) if N == 0: break src = [INF] + list(map(lambda x:x if x=='x' else int(x), input().split())) + [INF if N%2 else -INF] print(judge(src)) ```
output
1
32,454
11
64,909
Provide a correct Python 3 solution for this coding contest problem. Problem Statement Nathan O. Davis is a student at the department of integrated systems. Today's agenda in the class is audio signal processing. Nathan was given a lot of homework out. One of the homework was to write a program to process an audio signal. He copied the given audio signal to his USB memory and brought it back to his home. When he started his homework, he unfortunately dropped the USB memory to the floor. He checked the contents of the USB memory and found that the audio signal data got broken. There are several characteristics in the audio signal that he copied. * The audio signal is a sequence of $N$ samples. * Each sample in the audio signal is numbered from $1$ to $N$ and represented as an integer value. * Each value of the odd-numbered sample(s) is strictly smaller than the value(s) of its neighboring sample(s). * Each value of the even-numbered sample(s) is strictly larger than the value(s) of its neighboring sample(s). He got into a panic and asked you for a help. You tried to recover the audio signal from his USB memory but some samples of the audio signal are broken and could not be recovered. Fortunately, you found from the metadata that all the broken samples have the same integer value. Your task is to write a program, which takes the broken audio signal extracted from his USB memory as its input, to detect whether the audio signal can be recovered uniquely. Input The input consists of multiple datasets. The form of each dataset is described below. > $N$ > $a_{1}$ $a_{2}$ ... $a_{N}$ The first line of each dataset consists of an integer, $N (2 \le N \le 1{,}000)$. $N$ denotes the number of samples in the given audio signal. The second line of each dataset consists of $N$ values separated by spaces. The $i$-th value, $a_{i}$, is either a character `x` or an integer between $-10^9$ and $10^9$, inclusive. It represents the $i$-th sample of the broken audio signal. If $a_{i}$ is a character `x` , it denotes that $i$-th sample in the audio signal is broken. Otherwise it denotes the value of the $i$-th sample. The end of input is indicated by a single $0$. This is not included in the datasets. You may assume that the number of the datasets does not exceed $100$. Output For each dataset, output the value of the broken samples in one line if the original audio signal can be recovered uniquely. If there are multiple possible values, output `ambiguous`. If there are no possible values, output `none`. Sample Input 5 1 x 2 4 x 2 x x 2 1 2 2 2 1 2 1000000000 x 4 x 2 1 x 0 Output for the Sample Input 3 none ambiguous none ambiguous none Example Input 5 1 x 2 4 x 2 x x 2 1 2 2 2 1 2 1000000000 x 4 x 2 1 x 0 Output 3 none ambiguous none ambiguous none
instruction
0
32,455
11
64,910
"Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 998244353 def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): rr = [] while True: n = I() if n == 0: break a = LS() r = None for i in range(n): if a[i] == 'x': if i > 0 and a[i-1] == 'x': r = 'none' break else: a[i] = int(a[i]) if i > 0 and a[i-1] != 'x': if i % 2 == 0: if a[i-1] <= a[i]: r = 'none' break elif a[i-1] >= a[i]: r = 'none' break if r: rr.append(r) continue ma = -inf mi = inf for i in range(n): if a[i] != 'x': continue if i % 2 == 0: if i > 0: mi = min(mi, a[i-1]-1) if i < n-1: mi = min(mi, a[i+1]-1) else: ma = max(ma, a[i-1]+1) if i < n-1: ma = max(ma, a[i+1]+1) if ma == mi: rr.append(ma) elif ma == -1 or mi == inf: rr.append('ambiguous') elif ma > mi: rr.append('none') else: rr.append('ambiguous') return '\n'.join(map(str, rr)) print(main()) ```
output
1
32,455
11
64,911
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Problem Statement Nathan O. Davis is a student at the department of integrated systems. Today's agenda in the class is audio signal processing. Nathan was given a lot of homework out. One of the homework was to write a program to process an audio signal. He copied the given audio signal to his USB memory and brought it back to his home. When he started his homework, he unfortunately dropped the USB memory to the floor. He checked the contents of the USB memory and found that the audio signal data got broken. There are several characteristics in the audio signal that he copied. * The audio signal is a sequence of $N$ samples. * Each sample in the audio signal is numbered from $1$ to $N$ and represented as an integer value. * Each value of the odd-numbered sample(s) is strictly smaller than the value(s) of its neighboring sample(s). * Each value of the even-numbered sample(s) is strictly larger than the value(s) of its neighboring sample(s). He got into a panic and asked you for a help. You tried to recover the audio signal from his USB memory but some samples of the audio signal are broken and could not be recovered. Fortunately, you found from the metadata that all the broken samples have the same integer value. Your task is to write a program, which takes the broken audio signal extracted from his USB memory as its input, to detect whether the audio signal can be recovered uniquely. Input The input consists of multiple datasets. The form of each dataset is described below. > $N$ > $a_{1}$ $a_{2}$ ... $a_{N}$ The first line of each dataset consists of an integer, $N (2 \le N \le 1{,}000)$. $N$ denotes the number of samples in the given audio signal. The second line of each dataset consists of $N$ values separated by spaces. The $i$-th value, $a_{i}$, is either a character `x` or an integer between $-10^9$ and $10^9$, inclusive. It represents the $i$-th sample of the broken audio signal. If $a_{i}$ is a character `x` , it denotes that $i$-th sample in the audio signal is broken. Otherwise it denotes the value of the $i$-th sample. The end of input is indicated by a single $0$. This is not included in the datasets. You may assume that the number of the datasets does not exceed $100$. Output For each dataset, output the value of the broken samples in one line if the original audio signal can be recovered uniquely. If there are multiple possible values, output `ambiguous`. If there are no possible values, output `none`. Sample Input 5 1 x 2 4 x 2 x x 2 1 2 2 2 1 2 1000000000 x 4 x 2 1 x 0 Output for the Sample Input 3 none ambiguous none ambiguous none Example Input 5 1 x 2 4 x 2 x x 2 1 2 2 2 1 2 1000000000 x 4 x 2 1 x 0 Output 3 none ambiguous none ambiguous none Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 998244353 def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): rr = [] while True: n = I() if n == 0: break a = LS() r = None for i in range(n): if a[i] == 'x': if i > 0 and a[i-1] == 'x': r = 'none' break else: a[i] = int(a[i]) if i > 0 and a[i-1] != 'x': if i % 2 == 0: if a[i-1] <= a[i]: r = 'none' break elif a[i-1] >= a[i]: r = 'none' break if r: rr.append(r) continue ma = -1 mi = inf for i in range(n): if a[i] != 'x': continue if i % 2 == 0: if i > 0: mi = min(mi, a[i-1]-1) if i < n-1: mi = min(mi, a[i+1]-1) else: ma = max(ma, a[i-1]+1) if i < n-1: ma = max(ma, a[i+1]+1) if ma == mi: rr.append(ma) elif ma == -1 or mi == inf: rr.append('ambiguous') elif ma > mi: rr.append('none') else: rr.append('ambiguous') return '\n'.join(map(str, rr)) print(main()) ```
instruction
0
32,456
11
64,912
No
output
1
32,456
11
64,913
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. This is an interactive problem. Vasya and Vitya play a game. Vasya thought of two integers a and b from 1 to n and Vitya tries to guess them. Each round he tells Vasya two numbers x and y from 1 to n. If both x=a and y=b then Vitya wins. Else Vasya must say one of the three phrases: 1. x is less than a; 2. y is less than b; 3. x is greater than a or y is greater than b. Vasya can't lie, but if multiple phrases are true, he may choose any of them. For example, if Vasya thought of numbers 2 and 4, then he answers with the phrase 3 to a query (3, 4), and he can answer with the phrase 1 or phrase 3 to a query (1, 5). Help Vitya win in no more than 600 rounds. Input The first line contains a single integer n (1 ≤ n ≤ 10^{18}) — the upper limit of the numbers. Interaction First, you need to read the number n, after that you can make queries. To make a query, print two integers: x and y (1 ≤ x, y ≤ n), then flush the output. After each query, read a single integer ans (0 ≤ ans ≤ 3). If ans > 0, then it is the number of the phrase said by Vasya. If ans = 0, it means that you win and your program should terminate. If you make more than 600 queries or make an incorrect query, you will get Wrong Answer. Your solution will get Idleness Limit Exceeded, if you don't print anything or forget to flush the output. To flush you need to do the following right after printing a query and a line end: * fflush(stdout) in C++; * System.out.flush() in Java; * stdout.flush() in Python; * flush(output) in Pascal; * For other languages see documentation. Hacks format For hacks, use the following format: In the first line, print a single integer n (1 ≤ n ≤ 10^{18}) — the upper limit of the numbers. In the second line, print two integers a and b (1 ≤ a, b ≤ n) — the numbers which Vasya thought of. In the third line, print a single integer m (1 ≤ m ≤ 10^5) — the number of instructions for the interactor. In each of the next m lines, print five integers: x_i, y_i, r^{12}_i, r^{13}_i, and r^{23}_i (1 ≤ x_i, y_i ≤ n), where r^{ST}_i equals to either number S or number T. While answering the query x y, the interactor finds a number i from 1 to n with the minimal value |x-x_i| + |y-y_i|. If multiple numbers can be chosen, the least i is preferred. Then the interactor answers to the query, but if there are two phrases S and T that can be given, then r^{ST}_i is chosen. For example, the sample test data file contains the following: 5 2 4 2 2 5 1 1 2 4 1 2 3 3 Example Input 5 3 3 2 1 0 Output 4 3 3 4 3 3 1 5 2 4 Note Let's analyze the sample test. The chosen numbers are 2 and 4. The interactor was given two instructions. For the query (4, 3), it can return 2 or 3. Out of the two instructions the second one is chosen, so the interactor returns a^{23}_2=3. For the query (3, 4), it can return only 3. For the query (3, 3), it can return 2 or 3. Out of the two instructions the first one is chosen (since in case of equal values, the least number is preferred), so the interactor returns a^{23}_1=2. For the query (1, 5), it can return 1 or 3. Out of the two instructions the first one is chosen, so the interactor returns a^{13}_1=1. In the fifth query (2, 4), the numbers are guessed correctly, the player wins. Submitted Solution: ``` n = int(input()) a = [(1, 1, n + 1, n + 1)] b = [(1, 1, n + 1, n + 1)] while True: sumarea = sum((x2 - x1) * (y2 - y1) for x1, y1, x2, y2 in a) target = sumarea // 3 sumarea = 0 for x1, y1, x2, y2 in a: x = x1 + (target - sumarea) // (y2 - y1) if x <= x2: break sumarea += (x2 - x1) * (y2 - y1) sumarea = 0 for x1, y1, x2, y2 in b: y = y1 + (target - sumarea) // (x2 - x1) if y <= y2: break sumarea += (x2 - x1) * (y2 - y1) print(x, y, flush=True) ans = int(input()) if ans == 0: break elif ans == 1: a = [(x + 1, y1, x2, y2) for x1, y1, x2, y2 in a if x + 1 < x2] b = [(x + 1, y1, x2, y2) for x1, y1, x2, y2 in b if x + 1 < x2] elif ans == 2: a = [(x1, y + 1, x2, y2) for x1, y1, x2, y2 in a if y + 1 < y2] b = [(x1, y + 1, x2, y2) for x1, y1, x2, y2 in b if y + 1 < y2] elif ans == 3: a = [z for x1, y1, x2, y2 in a for z in (((x1, y1, x2, y2),) if x2 <= x else ((x1, y1, x2, y),) if x <= x1 else ((x1, y1, x, y2), (x, y1, x2, y)))] b = [z for x1, y1, x2, y2 in b for z in (((x1, y1, x2, y2),) if y2 <= y else ((x1, y1, x, y2),) if y <= y1 else ((x1, y1, x2, y), (x1, y, x, y2)))] ```
instruction
0
33,319
11
66,638
No
output
1
33,319
11
66,639
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` import math while True: n = int(input()) if n == 0:break c = 0 for x in reversed(range(1,math.ceil(n/2)+1)): sumx = 0 add_c = 0 for y in reversed(range(1,x+1)): sumx += y add_c += 1 if sumx >= n: break if sumx == n and add_c > 1: c += 1 print(c) ```
instruction
0
34,215
11
68,430
Yes
output
1
34,215
11
68,431
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` while True: n=int(input()) p=0 if n==0: break else: s=[i for i in range(1,n)] for i in range(2,n): for j in range(0,n-i+1): ss=sum(s[j:i:]) if ss==n: p+=1 print(p) ```
instruction
0
34,216
11
68,432
Yes
output
1
34,216
11
68,433
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` while True: N=int(input()) if(N==0): break ans=0 for i in range((N//2)+1,0,-1): SUM=i k=i-1 while SUM<=N and k>0: SUM+=k if SUM==N: ans+=1 k-=1 print(ans) ```
instruction
0
34,217
11
68,434
Yes
output
1
34,217
11
68,435
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` while True: n = int(input()) ans = 0 if n == 0: break count = n for i in range(1, n): a = 0 for j in range (i, n): a += j if a == n: ans += 1 break if a > n: break # for i in range(2, n): # a = int(n / i) # print("a=", a) # b = a # for j in range(0,i-1): # a += 1 # b += a # print("b=", b) # if a == b: # ans += 1 print(ans) ```
instruction
0
34,218
11
68,436
Yes
output
1
34,218
11
68,437
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` while True: n = int(input()) if n == 0: break count = 0 for i in range(int((n+1)/2)): s = 0 j = i while s < n: s += j j += 1 if s == n: count += 1 print(count) ```
instruction
0
34,219
11
68,438
No
output
1
34,219
11
68,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` a=0 while True: n=int(input()) if n==0: break elif n%2!=0: a+=1 for i in range(3,n//2,2): if n%i==0: a+=1 print(a) ```
instruction
0
34,220
11
68,440
No
output
1
34,220
11
68,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` if __name__ == "__main__": while True: n = int(input()) if n ==0:break nline = [i for i in range(n)] count = 0 for i in range(n): for j in range(i,n): if sum(nline[i:j]) > n:break if sum(nline[i:j]) == n:count +=1 print(count) ```
instruction
0
34,221
11
68,442
No
output
1
34,221
11
68,443
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You survived several months of exam wars and were able to enter ICPC University on a sunny day. On the day of admission, there was an enthusiastic recruitment of circles on the campus of the university, and you received a large number of pamphlets and returned. When you return to your room, you find one of the pamphlets you received that interests you. The pamphlet was given by the university's public relations department. The following problems were described in the pamphlet. > How many combinations of two or more consecutive positive integers have a sum of N? For example, 9 has two combinations, 2 + 3 + 4 and 4 + 5. If you were curious about the answer to this question, you decided to write a program to find out the answer. Therefore, your job is to write a program that outputs the answer to the problem for the positive integer N given as the input. Input The input is a sequence of datasets. Each dataset is a line of one integer N. Where 1 ≤ N ≤ 1000. The end of the input is indicated by a single line of zeros. Output The output is the order of the input datasets, which is the answer to the question for the positive integers represented by each dataset of the inputs. No other characters should be in the output. Example Input 9 500 0 Output 2 3 Submitted Solution: ``` #include <bits/stdc++.h> int main(void) { int n, i, j, cnt, tmp; while (scanf("%d", &n)) { if (n == 0) { break; } cnt = 0; for (i = 1; i < n / 2 + 1; i++) { for (j = i; j < n; j++) { tmp = (i + j) * (j - i + 1) / 2; if (tmp == n) { cnt++; break; } if (tmp > n) { break; } } } printf("%d\n", cnt); } return 0; } ```
instruction
0
34,222
11
68,444
No
output
1
34,222
11
68,445
Provide a correct Python 3 solution for this coding contest problem. Example Input 2 2 1 2 0 3 4 1 Output 2
instruction
0
34,223
11
68,446
"Correct Solution: ``` from itertools import product from collections import deque import sys readline = sys.stdin.readline write = sys.stdout.write def solve(): MOD = 10**9 + 9 N, M = map(int, readline().split()) K = 3*N fact = [1]*(K+1) rfact = [1]*(K+1) r = 1 for i in range(1, K+1): fact[i] = r = r * i % MOD rfact[K] = r = pow(fact[K], MOD-2, MOD) for i in range(K, 0, -1): rfact[i-1] = r = r * i % MOD pr6 = [1]*(N+1) base = pow(6, MOD-2, MOD) r = 1 for i in range(N): pr6[i+1] = r = base * r % MOD mp = {} G = [[] for i in range(M*2)] cur = 0 m = 0 E = [] for i in range(M): a, b, c = map(int, readline().split()) if a not in mp: mp[a] = cur cur += 1 ma = mp[a] if b not in mp: mp[b] = cur cur += 1 mb = mp[b] if c == 0: G[ma].append(mb) G[mb].append(ma) else: E.append((ma, mb)) m += 1 L = cur cr = 0 lb = [-1]*L sz = [] zz = [] cc = [0, 0, 0] u = [0]*L que = deque() for i in range(L): if u[i]: continue que.append(i) vs = [] u[i] = 1 while que: v = que.popleft() vs.append(v) for w in G[v]: if u[w]: continue u[w] = 1 que.append(w) s = len(vs) if s > 3: write("0\n") return for v in vs: lb[v] = cr sz.append(s) zz.append(vs) cc[s-1] += 1 cr += 1 used = [0]*(1 << m) ans = 0 def dfs(state, c, lb, cc): nonlocal ans if used[state]: return used[state] = 1 x = cc[0] + (K - L); y = cc[1] if x >= y: k = (x - y) // 3 if c & 1 == 0: ans += fact[x] * pr6[k] * rfact[k] % MOD else: ans -= fact[x] * pr6[k] * rfact[k] % MOD cc0 = [0]*3 for i in range(m): if state & (1 << i): continue p, q = E[i] pl = lb[p]; ql = lb[q] if pl != ql: s = sz[pl] + sz[ql] if s > 3: continue cc0[:] = cc cc0[sz[pl]-1] -= 1 cc0[sz[ql]-1] -= 1 cc0[s-1] += 1 nl = len(sz) vs = zz[pl] + zz[ql] for v in vs: lb[v] = nl sz.append(s) zz.append(vs) dfs(state | (1 << i), c+1, lb, cc0) for v in zz[pl]: lb[v] = pl for v in zz[ql]: lb[v] = ql else: dfs(state | (1 << i), c+1, lb, cc) dfs(0, 0, lb, cc) ans %= MOD write("%d\n" % ans) solve() ```
output
1
34,223
11
68,447
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given array a_1, a_2, ..., a_n. Find the subsegment a_l, a_{l+1}, ..., a_r (1 ≤ l ≤ r ≤ n) with maximum arithmetic mean (1)/(r - l + 1)∑_{i=l}^{r}{a_i} (in floating-point numbers, i.e. without any rounding). If there are many such subsegments find the longest one. Input The first line contains single integer n (1 ≤ n ≤ 10^5) — length of the array a. The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^9) — the array a. Output Print the single integer — the length of the longest subsegment with maximum possible arithmetic mean. Example Input 5 6 1 6 6 0 Output 2 Note The subsegment [3, 4] is the longest among all subsegments with maximum arithmetic mean. Submitted Solution: ``` def read_input(): n = int(input()) s2 = input() a = [int(i) for i in s2.split()] return n, a def problem_a(n, a): """ Find largest streak of largest element """ largest = max(a) i = 0 old_streak_begin = 0 old_streak_end = 0 while i < n: if a[i] == largest: streak_begin = i while i < n and a[i] == largest: i += 1 streak_end = i - 1 i += 1 if (streak_end - streak_begin) < (old_streak_end - old_streak_begin): streak_begin = old_streak_begin streak_end = old_streak_end print(streak_end - streak_begin + 1) if __name__ == '__main__': n, a = read_input() problem_a(n, a) ```
instruction
0
34,298
11
68,596
No
output
1
34,298
11
68,597
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is the faculty of Computer Science in Berland. In the social net "TheContact!" for each course of this faculty there is the special group whose name equals the year of university entrance of corresponding course of students at the university. Each of students joins the group of his course and joins all groups for which the year of student's university entrance differs by no more than x from the year of university entrance of this student, where x — some non-negative integer. A value x is not given, but it can be uniquely determined from the available data. Note that students don't join other groups. You are given the list of groups which the student Igor joined. According to this information you need to determine the year of Igor's university entrance. Input The first line contains the positive odd integer n (1 ≤ n ≤ 5) — the number of groups which Igor joined. The next line contains n distinct integers a1, a2, ..., an (2010 ≤ ai ≤ 2100) — years of student's university entrance for each group in which Igor is the member. It is guaranteed that the input data is correct and the answer always exists. Groups are given randomly. Output Print the year of Igor's university entrance. Examples Input 3 2014 2016 2015 Output 2015 Input 1 2050 Output 2050 Note In the first test the value x = 1. Igor entered the university in 2015. So he joined groups members of which are students who entered the university in 2014, 2015 and 2016. In the second test the value x = 0. Igor entered only the group which corresponds to the year of his university entrance. Submitted Solution: ``` input() a = list(map(int, input().split())) mi = ma = a[0] for i in a: mi = min(mi, i) ma = max(ma, i) print ((mi+ma) // 2) ```
instruction
0
34,809
11
69,618
Yes
output
1
34,809
11
69,619
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is the faculty of Computer Science in Berland. In the social net "TheContact!" for each course of this faculty there is the special group whose name equals the year of university entrance of corresponding course of students at the university. Each of students joins the group of his course and joins all groups for which the year of student's university entrance differs by no more than x from the year of university entrance of this student, where x — some non-negative integer. A value x is not given, but it can be uniquely determined from the available data. Note that students don't join other groups. You are given the list of groups which the student Igor joined. According to this information you need to determine the year of Igor's university entrance. Input The first line contains the positive odd integer n (1 ≤ n ≤ 5) — the number of groups which Igor joined. The next line contains n distinct integers a1, a2, ..., an (2010 ≤ ai ≤ 2100) — years of student's university entrance for each group in which Igor is the member. It is guaranteed that the input data is correct and the answer always exists. Groups are given randomly. Output Print the year of Igor's university entrance. Examples Input 3 2014 2016 2015 Output 2015 Input 1 2050 Output 2050 Note In the first test the value x = 1. Igor entered the university in 2015. So he joined groups members of which are students who entered the university in 2014, 2015 and 2016. In the second test the value x = 0. Igor entered only the group which corresponds to the year of his university entrance. Submitted Solution: ``` n = int(input()) t = [int(i) for i in input().split()] t1 = [] if n == 1 : print(t[0]) else : for i in range(0,len(t)-1): b = abs(t[i]-t[i+1]) t1.append(b) c = max(t1) print(t[0] + c) ```
instruction
0
34,810
11
69,620
No
output
1
34,810
11
69,621
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is the faculty of Computer Science in Berland. In the social net "TheContact!" for each course of this faculty there is the special group whose name equals the year of university entrance of corresponding course of students at the university. Each of students joins the group of his course and joins all groups for which the year of student's university entrance differs by no more than x from the year of university entrance of this student, where x — some non-negative integer. A value x is not given, but it can be uniquely determined from the available data. Note that students don't join other groups. You are given the list of groups which the student Igor joined. According to this information you need to determine the year of Igor's university entrance. Input The first line contains the positive odd integer n (1 ≤ n ≤ 5) — the number of groups which Igor joined. The next line contains n distinct integers a1, a2, ..., an (2010 ≤ ai ≤ 2100) — years of student's university entrance for each group in which Igor is the member. It is guaranteed that the input data is correct and the answer always exists. Groups are given randomly. Output Print the year of Igor's university entrance. Examples Input 3 2014 2016 2015 Output 2015 Input 1 2050 Output 2050 Note In the first test the value x = 1. Igor entered the university in 2015. So he joined groups members of which are students who entered the university in 2014, 2015 and 2016. In the second test the value x = 0. Igor entered only the group which corresponds to the year of his university entrance. Submitted Solution: ``` n = int(input()) t = [int(i) for i in input().split()] t1 = [] if n == 1 : print(t[0]) else : for i in range(0,len(t)-1): b = abs(t[i]-t[i+1]) t1.append(b) c = min(t1) print(t[0] + c) ```
instruction
0
34,812
11
69,624
No
output
1
34,812
11
69,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is the faculty of Computer Science in Berland. In the social net "TheContact!" for each course of this faculty there is the special group whose name equals the year of university entrance of corresponding course of students at the university. Each of students joins the group of his course and joins all groups for which the year of student's university entrance differs by no more than x from the year of university entrance of this student, where x — some non-negative integer. A value x is not given, but it can be uniquely determined from the available data. Note that students don't join other groups. You are given the list of groups which the student Igor joined. According to this information you need to determine the year of Igor's university entrance. Input The first line contains the positive odd integer n (1 ≤ n ≤ 5) — the number of groups which Igor joined. The next line contains n distinct integers a1, a2, ..., an (2010 ≤ ai ≤ 2100) — years of student's university entrance for each group in which Igor is the member. It is guaranteed that the input data is correct and the answer always exists. Groups are given randomly. Output Print the year of Igor's university entrance. Examples Input 3 2014 2016 2015 Output 2015 Input 1 2050 Output 2050 Note In the first test the value x = 1. Igor entered the university in 2015. So he joined groups members of which are students who entered the university in 2014, 2015 and 2016. In the second test the value x = 0. Igor entered only the group which corresponds to the year of his university entrance. Submitted Solution: ``` def solve(n, arr): if n == 1: return '0' arr = sorted(list(set(arr))) return arr[1]-arr[0] n = int(input()) arr = list(map(int,input().strip().split()))[:n] print(solve(n, arr)) ```
instruction
0
34,813
11
69,626
No
output
1
34,813
11
69,627
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's another Start[c]up, and that means there are T-shirts to order. In order to make sure T-shirts are shipped as soon as possible, we've decided that this year we're going to order all of the necessary T-shirts before the actual competition. The top C contestants are going to be awarded T-shirts, but we obviously don't know which contestants that will be. The plan is to get the T-Shirt sizes of all contestants before the actual competition, and then order enough T-shirts so that no matter who is in the top C we'll have T-shirts available in order to award them. In order to get the T-shirt sizes of the contestants, we will send out a survey. The survey will allow contestants to either specify a single desired T-shirt size, or two adjacent T-shirt sizes. If a contestant specifies two sizes, it means that they can be awarded either size. As you can probably tell, this plan could require ordering a lot of unnecessary T-shirts. We'd like your help to determine the minimum number of T-shirts we'll need to order to ensure that we'll be able to award T-shirts no matter the outcome of the competition. Input Input will begin with two integers N and C (1 ≤ N ≤ 2·105, 1 ≤ C), the number of T-shirt sizes and number of T-shirts to be awarded, respectively. Following this is a line with 2·N - 1 integers, s1 through s2·N - 1 (0 ≤ si ≤ 108). For odd i, si indicates the number of contestants desiring T-shirt size ((i + 1) / 2). For even i, si indicates the number of contestants okay receiving either of T-shirt sizes (i / 2) and (i / 2 + 1). C will not exceed the total number of contestants. Output Print the minimum number of T-shirts we need to buy. Examples Input 2 200 100 250 100 Output 200 Input 4 160 88 69 62 29 58 52 44 Output 314 Note In the first example, we can buy 100 of each size. Submitted Solution: ``` _, n = [int(x) for x in input().split()] ar = [int(x) for x in input().split()] s = 0 for i in range(0, len(ar), 2): s += min(ar[i], n) dop = [] for i in range(0, len(ar) - 2, 2): dop.append(max(min(n - ar[i] - ar[i+2], ar[i+1]), 0)) if len(dop) > 0: for i in range(1, len(dop) - 1): a, b = dop[i-1], dop[i] s += max(a,b) if dop[i - 1] > dop[i]: dop[i - 1] = 0 dop[i] = 0 else: dop[i - 1] = 0 dop[i] = 0 dop[i + 1] -= b - a s += dop[-1] print(s) ```
instruction
0
34,852
11
69,704
No
output
1
34,852
11
69,705
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's another Start[c]up, and that means there are T-shirts to order. In order to make sure T-shirts are shipped as soon as possible, we've decided that this year we're going to order all of the necessary T-shirts before the actual competition. The top C contestants are going to be awarded T-shirts, but we obviously don't know which contestants that will be. The plan is to get the T-Shirt sizes of all contestants before the actual competition, and then order enough T-shirts so that no matter who is in the top C we'll have T-shirts available in order to award them. In order to get the T-shirt sizes of the contestants, we will send out a survey. The survey will allow contestants to either specify a single desired T-shirt size, or two adjacent T-shirt sizes. If a contestant specifies two sizes, it means that they can be awarded either size. As you can probably tell, this plan could require ordering a lot of unnecessary T-shirts. We'd like your help to determine the minimum number of T-shirts we'll need to order to ensure that we'll be able to award T-shirts no matter the outcome of the competition. Input Input will begin with two integers N and C (1 ≤ N ≤ 2·105, 1 ≤ C), the number of T-shirt sizes and number of T-shirts to be awarded, respectively. Following this is a line with 2·N - 1 integers, s1 through s2·N - 1 (0 ≤ si ≤ 108). For odd i, si indicates the number of contestants desiring T-shirt size ((i + 1) / 2). For even i, si indicates the number of contestants okay receiving either of T-shirt sizes (i / 2) and (i / 2 + 1). C will not exceed the total number of contestants. Output Print the minimum number of T-shirts we need to buy. Examples Input 2 200 100 250 100 Output 200 Input 4 160 88 69 62 29 58 52 44 Output 314 Note In the first example, we can buy 100 of each size. Submitted Solution: ``` _, n = [int(x) for x in input().split()] ar = [int(x) for x in input().split()] s = 0 for i in range(0, len(ar), 2): s += min(ar[i], n) dop = [] for i in range(0, len(ar) - 2, 2): dop.append(max(min(n - ar[i] - ar[i+2], ar[i+1]), 0)) print(dop) for i in range(1, len(dop) - 1): a, b = dop[i-1], dop[i] s += max(a,b) if dop[i - 1] > dop[i]: dop[i - 1] = 0 dop[i] = 0 else: dop[i - 1] = 0 dop[i] = 0 dop[i + 1] -= b - a s += dop[-1] print(s) ```
instruction
0
34,853
11
69,706
No
output
1
34,853
11
69,707
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's another Start[c]up, and that means there are T-shirts to order. In order to make sure T-shirts are shipped as soon as possible, we've decided that this year we're going to order all of the necessary T-shirts before the actual competition. The top C contestants are going to be awarded T-shirts, but we obviously don't know which contestants that will be. The plan is to get the T-Shirt sizes of all contestants before the actual competition, and then order enough T-shirts so that no matter who is in the top C we'll have T-shirts available in order to award them. In order to get the T-shirt sizes of the contestants, we will send out a survey. The survey will allow contestants to either specify a single desired T-shirt size, or two adjacent T-shirt sizes. If a contestant specifies two sizes, it means that they can be awarded either size. As you can probably tell, this plan could require ordering a lot of unnecessary T-shirts. We'd like your help to determine the minimum number of T-shirts we'll need to order to ensure that we'll be able to award T-shirts no matter the outcome of the competition. Input Input will begin with two integers N and C (1 ≤ N ≤ 2·105, 1 ≤ C), the number of T-shirt sizes and number of T-shirts to be awarded, respectively. Following this is a line with 2·N - 1 integers, s1 through s2·N - 1 (0 ≤ si ≤ 108). For odd i, si indicates the number of contestants desiring T-shirt size ((i + 1) / 2). For even i, si indicates the number of contestants okay receiving either of T-shirt sizes (i / 2) and (i / 2 + 1). C will not exceed the total number of contestants. Output Print the minimum number of T-shirts we need to buy. Examples Input 2 200 100 250 100 Output 200 Input 4 160 88 69 62 29 58 52 44 Output 314 Note In the first example, we can buy 100 of each size. Submitted Solution: ``` _, n = [int(x) for x in input().split()] ar = [int(x) for x in input().split()] s = 0 for i in range(0, len(ar), 2): s += ar[i] dop = [] for i in range(0, len(ar) - 2, 2): dop.append(max(min(n - ar[i] - ar[i+2], ar[i+1]), 0)) print(dop) for i in range(1, len(dop) - 1): a, b = dop[i-1], dop[i] s += max(a,b) if dop[i - 1] > dop[i]: dop[i - 1] = 0 dop[i] = 0 else: dop[i - 1] = 0 dop[i] = 0 dop[i + 1] -= b - a s += dop[-1] print(s) ```
instruction
0
34,854
11
69,708
No
output
1
34,854
11
69,709
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It's another Start[c]up, and that means there are T-shirts to order. In order to make sure T-shirts are shipped as soon as possible, we've decided that this year we're going to order all of the necessary T-shirts before the actual competition. The top C contestants are going to be awarded T-shirts, but we obviously don't know which contestants that will be. The plan is to get the T-Shirt sizes of all contestants before the actual competition, and then order enough T-shirts so that no matter who is in the top C we'll have T-shirts available in order to award them. In order to get the T-shirt sizes of the contestants, we will send out a survey. The survey will allow contestants to either specify a single desired T-shirt size, or two adjacent T-shirt sizes. If a contestant specifies two sizes, it means that they can be awarded either size. As you can probably tell, this plan could require ordering a lot of unnecessary T-shirts. We'd like your help to determine the minimum number of T-shirts we'll need to order to ensure that we'll be able to award T-shirts no matter the outcome of the competition. Input Input will begin with two integers N and C (1 ≤ N ≤ 2·105, 1 ≤ C), the number of T-shirt sizes and number of T-shirts to be awarded, respectively. Following this is a line with 2·N - 1 integers, s1 through s2·N - 1 (0 ≤ si ≤ 108). For odd i, si indicates the number of contestants desiring T-shirt size ((i + 1) / 2). For even i, si indicates the number of contestants okay receiving either of T-shirt sizes (i / 2) and (i / 2 + 1). C will not exceed the total number of contestants. Output Print the minimum number of T-shirts we need to buy. Examples Input 2 200 100 250 100 Output 200 Input 4 160 88 69 62 29 58 52 44 Output 314 Note In the first example, we can buy 100 of each size. Submitted Solution: ``` _, n = [int(x) for x in input().split()] ar = [int(x) for x in input().split()] s = 0 for i in range(0, len(ar), 2): s += min(ar[i], n) dop = [] for i in range(0, len(ar) - 2, 2): dop.append(max(min(n - ar[i] - ar[i+2], ar[i+1]), 0)) for i in range(len(dop)): min_val = min(dop) ind = dop.index(min_val) if ind > 0: dop[ind - 1] = max(dop[ind - 1] - min_val, 0) if ind < len(dop) - 1: dop[ind + 1] = max(dop[ind + 1] - min_val, 0) dop[ind] = 10**20 s += min_val print(dop) print(s) ```
instruction
0
34,855
11
69,710
No
output
1
34,855
11
69,711
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` in1 = int(input()) in1 += int(input()) print(6 - in1) ```
instruction
0
34,937
11
69,874
Yes
output
1
34,937
11
69,875
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` a = ["1","2","3"] a.remove(input()) a.remove(input()) print(a[0]) ```
instruction
0
34,938
11
69,876
Yes
output
1
34,938
11
69,877
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` A = int(input()) B = int(input()) print(int((6/A)/B)) ```
instruction
0
34,939
11
69,878
Yes
output
1
34,939
11
69,879
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` s=input() t=input() print(6-int(s)-int(t)) ```
instruction
0
34,940
11
69,880
Yes
output
1
34,940
11
69,881
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` icase=0 if icase==0: a=input() b=input() print(6-a-b) ```
instruction
0
34,941
11
69,882
No
output
1
34,941
11
69,883
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` A=map(int,input()) B=map(int,input()) if (A=1 and B=2)or(A=2 and B=1): print(3) if (A=2 and B=3)or(A=3 and B=2): print(1) else: print(2) ```
instruction
0
34,942
11
69,884
No
output
1
34,942
11
69,885
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` a = int(input()) b = ont(input()) print(6 - a - b) ```
instruction
0
34,943
11
69,886
No
output
1
34,943
11
69,887
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi is solving quizzes. He has easily solved all but the last one. The last quiz has three choices: 1, 2, and 3. With his supernatural power, Takahashi has found out that the choices A and B are both wrong. Print the correct choice for this problem. Constraints * Each of the numbers A and B is 1, 2, or 3. * A and B are different. Input Input is given from Standard Input in the following format: A B Output Print the correct choice. Examples Input 3 1 Output 2 Input 1 2 Output 3 Submitted Solution: ``` input1 = int(input()) input2 = int(input()) if input1 == 1 and input2 == 2: print(3) elif input1 == 1 and input2 == 3: print(2) else: print(1) ```
instruction
0
34,944
11
69,888
No
output
1
34,944
11
69,889
Provide a correct Python 3 solution for this coding contest problem. Prize Segtree entered a programming contest with a team of $ N $ and won a $ K $ yen prize! I'm trying to distribute this prize now. Each $ N $ team member, including Segtree, is numbered from $ 1 $ to $ N $ in order of ability. Segtree is $ 1 $. If the prize amount of $ i $'s teammate $ (i \ geq 2) $ is less than "$ i-half of the prize amount of $ i's teammate rounded down to an integer", that person Get angry. When distributing the $ K $ Yen prize so that no one gets angry, find the maximum prize that Segtree can get. input Input is given from standard input in the following format. N K output Please output the maximum prize money that Segtree can receive. However, insert a line break at the end. Constraint * $ 1 \ leq N, K \ leq 10 ^ {18} $ * All inputs are integers. Input example 1 1 1 Output example 1 1 Input example 2 819875141880895728 349993004923078537 Output example 2 174996502461539284 Example Input 1 1 Output 1
instruction
0
35,108
11
70,216
"Correct Solution: ``` n,k = map(int,input().split()) ok,ng = 0,k+1 while ng-ok>1: mid = (ng+ok)//2 s = 0 m = mid for i in range(n): s += m m //= 2 if m == 0: break if s <= k: ok = mid else: ng = mid print(ok) ```
output
1
35,108
11
70,217
Provide a correct Python 3 solution for this coding contest problem. Prize Segtree entered a programming contest with a team of $ N $ and won a $ K $ yen prize! I'm trying to distribute this prize now. Each $ N $ team member, including Segtree, is numbered from $ 1 $ to $ N $ in order of ability. Segtree is $ 1 $. If the prize amount of $ i $'s teammate $ (i \ geq 2) $ is less than "$ i-half of the prize amount of $ i's teammate rounded down to an integer", that person Get angry. When distributing the $ K $ Yen prize so that no one gets angry, find the maximum prize that Segtree can get. input Input is given from standard input in the following format. N K output Please output the maximum prize money that Segtree can receive. However, insert a line break at the end. Constraint * $ 1 \ leq N, K \ leq 10 ^ {18} $ * All inputs are integers. Input example 1 1 1 Output example 1 1 Input example 2 819875141880895728 349993004923078537 Output example 2 174996502461539284 Example Input 1 1 Output 1
instruction
0
35,109
11
70,218
"Correct Solution: ``` from itertools import * from bisect import * from math import * from collections import * from heapq import * from random import * import sys sys.setrecursionlimit(10 ** 6) int1 = lambda x: int(x) - 1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.readline()) def MI(): return map(int, sys.stdin.readline().split()) def MI1(): return map(int1, sys.stdin.readline().split()) def MF(): return map(float, sys.stdin.readline().split()) def LI(): return list(map(int, sys.stdin.readline().split())) def LI1(): return list(map(int1, sys.stdin.readline().split())) def LF(): return list(map(float, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] dij = [(1, 0), (0, 1), (-1, 0), (0, -1)] def main(): def ok(m): s=0 cnt=0 while m: s+=m cnt+=1 if s>k:return False if cnt==n:break m>>=1 return True n,k=MI() l=0 r=k+1 while l+1<r: m=(l+r)//2 if ok(m):l=m else:r=m print(l) main() ```
output
1
35,109
11
70,219
Provide a correct Python 3 solution for this coding contest problem. Prize Segtree entered a programming contest with a team of $ N $ and won a $ K $ yen prize! I'm trying to distribute this prize now. Each $ N $ team member, including Segtree, is numbered from $ 1 $ to $ N $ in order of ability. Segtree is $ 1 $. If the prize amount of $ i $'s teammate $ (i \ geq 2) $ is less than "$ i-half of the prize amount of $ i's teammate rounded down to an integer", that person Get angry. When distributing the $ K $ Yen prize so that no one gets angry, find the maximum prize that Segtree can get. input Input is given from standard input in the following format. N K output Please output the maximum prize money that Segtree can receive. However, insert a line break at the end. Constraint * $ 1 \ leq N, K \ leq 10 ^ {18} $ * All inputs are integers. Input example 1 1 1 Output example 1 1 Input example 2 819875141880895728 349993004923078537 Output example 2 174996502461539284 Example Input 1 1 Output 1
instruction
0
35,110
11
70,220
"Correct Solution: ``` n,k=map(int,input().split()) l,r=0,k+1 while r-l>1: m=(l+r)//2 res = m t = m for i in range(n-1): t //= 2 res += t if t == 0: break if res > k: r = m else: l = m print(l) ```
output
1
35,110
11
70,221
Provide a correct Python 3 solution for this coding contest problem. Prize Segtree entered a programming contest with a team of $ N $ and won a $ K $ yen prize! I'm trying to distribute this prize now. Each $ N $ team member, including Segtree, is numbered from $ 1 $ to $ N $ in order of ability. Segtree is $ 1 $. If the prize amount of $ i $'s teammate $ (i \ geq 2) $ is less than "$ i-half of the prize amount of $ i's teammate rounded down to an integer", that person Get angry. When distributing the $ K $ Yen prize so that no one gets angry, find the maximum prize that Segtree can get. input Input is given from standard input in the following format. N K output Please output the maximum prize money that Segtree can receive. However, insert a line break at the end. Constraint * $ 1 \ leq N, K \ leq 10 ^ {18} $ * All inputs are integers. Input example 1 1 1 Output example 1 1 Input example 2 819875141880895728 349993004923078537 Output example 2 174996502461539284 Example Input 1 1 Output 1
instruction
0
35,111
11
70,222
"Correct Solution: ``` N,K=map(int,input().split()) OK=0 NG=K+1 while NG-OK>1: #print(OK,NG) mid=(OK+NG)//2 ANS=0 money=mid for i in range(N): ANS+=money money//=2 if money==0: break if ANS<=K: OK=mid else: NG=mid print(OK) ```
output
1
35,111
11
70,223
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` def trausers(lst): result = 0 for i in range(len(lst)): result += (lst[i] - 1) * (i + 1) + 1 return result n = int(input()) a = [int(j) for j in input().split()] print(trausers(a)) ```
instruction
0
35,147
11
70,294
Yes
output
1
35,147
11
70,295
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` a = int(input()) arr = list(map(int,input().split())) ans = 0 for i in range(1,a+1): ans += (arr[i-1] - 1) * i + 1 print(ans) ```
instruction
0
35,148
11
70,296
Yes
output
1
35,148
11
70,297
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` input() print(sum(i * a - i + 1 for i, a in enumerate(map(int, input().split()), 1))) ```
instruction
0
35,149
11
70,298
Yes
output
1
35,149
11
70,299
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` """ Template written to be used by Python Programmers. Use at your own risk!!!! Owned by adi0311(rating - 5 star at CodeChef and Specialist at Codeforces). """ import sys from functools import lru_cache, cmp_to_key from heapq import merge, heapify, heappop, heappush, nlargest, nsmallest, _heapify_max, _heapreplace_max from math import ceil, floor, gcd, fabs, factorial, fmod, sqrt, inf, log from collections import defaultdict as dd, deque, Counter as c from itertools import combinations as comb, permutations as perm from bisect import bisect_left as bl, bisect_right as br, bisect from fractions import Fraction # sys.setrecursionlimit(2*pow(10, 6)) # sys.stdin = open("input.txt", "r") # sys.stdout = open("output.txt", "w") mod = pow(10, 9) + 7 mod2 = 998244353 def data(): return sys.stdin.readline().strip() def out(var): sys.stdout.write(str(var)) def outln(var): sys.stdout.write(str(var)+"\n") def l(): return list(sp()) def sl(): return list(ssp()) def sp(): return map(int, data().split()) def ssp(): return map(str, data().split()) def l1d(n, val=0): return [val for i in range(n)] def l2d(n, m, val=0): return [l1d(n, val) for j in range(m)] n = int(data()) arr = l() for i in range(n-2, -1, -1): arr[i] = arr[i+1] + arr[i] - 1 print(sum(arr)) ```
instruction
0
35,150
11
70,300
Yes
output
1
35,150
11
70,301
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` n = int(input()) l = list(map(int,input().split())) if len(set(l)) == 1 and l[0] == 1 or n == 1 : print(sum(l)) else: cnt = l[0] for i in range(1 , n): cnt += l[i] + i print(cnt) ```
instruction
0
35,151
11
70,302
No
output
1
35,151
11
70,303
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` import itertools as it n, a = int(input()), list(map(int, input().split())) b = list(it.accumulate([int(c > 1) for c in a[::-1]]))[::-1] print(sum([a[i] + b[i + 1] for i in range(n - 1)]) + a[-1]) ```
instruction
0
35,152
11
70,304
No
output
1
35,152
11
70,305
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` n=int(input()) l=list(map(int,input().split())) i=0 x=0 for j in l: x=x+j+i if(j>1): i=i+1 print(x) ```
instruction
0
35,153
11
70,306
No
output
1
35,153
11
70,307
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The average miner Vaganych took refresher courses. As soon as a miner completes the courses, he should take exams. The hardest one is a computer test called "Testing Pants for Sadness". The test consists of n questions; the questions are to be answered strictly in the order in which they are given, from question 1 to question n. Question i contains ai answer variants, exactly one of them is correct. A click is regarded as selecting any answer in any question. The goal is to select the correct answer for each of the n questions. If Vaganych selects a wrong answer for some question, then all selected answers become unselected and the test starts from the very beginning, from question 1 again. But Vaganych remembers everything. The order of answers for each question and the order of questions remain unchanged, as well as the question and answers themselves. Vaganych is very smart and his memory is superb, yet he is unbelievably unlucky and knows nothing whatsoever about the test's theme. How many clicks will he have to perform in the worst case? Input The first line contains a positive integer n (1 ≤ n ≤ 100). It is the number of questions in the test. The second line contains space-separated n positive integers ai (1 ≤ ai ≤ 109), the number of answer variants to question i. Output Print a single number — the minimal number of clicks needed to pass the test it the worst-case scenario. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. Examples Input 2 1 1 Output 2 Input 2 2 2 Output 5 Input 1 10 Output 10 Note Note to the second sample. In the worst-case scenario you will need five clicks: * the first click selects the first variant to the first question, this answer turns out to be wrong. * the second click selects the second variant to the first question, it proves correct and we move on to the second question; * the third click selects the first variant to the second question, it is wrong and we go back to question 1; * the fourth click selects the second variant to the first question, it proves as correct as it was and we move on to the second question; * the fifth click selects the second variant to the second question, it proves correct, the test is finished. Submitted Solution: ``` import sys,math s = int(input()) arr = list(map(int,input().split(' '))) m = arr[0] for i in range(1,s): m = m + (arr[i])-1 arr[i] = m print(sum(arr)) ''' 2 2 2 1+1 2 1+1+1 3 (1+1+1,1) 4 3 3 1+1+1 3 1+1+1+1+1 5 1+1+1,1+1+1,1 7 ''' ```
instruction
0
35,154
11
70,308
No
output
1
35,154
11
70,309
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Input The input contains two integers a1, a2 (0 ≤ ai ≤ 109), separated by a single space. Output Output a single integer. Examples Input 3 14 Output 44 Input 27 12 Output 48 Input 100 200 Output 102 Submitted Solution: ``` """==================================================================================== ==================================================================================== ___ _______ ___ _______ ___ ___ | /\ | | \ | | / | | | | |\ /| | / \ | | \ | | / | | | | | \ / | |___ /____\ | | \ | |/ |___| | | | \/ | | / \ | | / | |\ |\ | | | | | / \ | | / | | \ | \ | | | | ___|/ \___|___ |___/ ___|___ | \ | \ |___| | | ==================================================================================== ==================================================================================== """ # ♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥ a1,a2 = map(str,input().split()) a = int(a1) + int(a2[::-1]) print(a) # ♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥♥ """==================================================================================== ==================================================================================== ___ _______ ___ _______ ___ ___ | /\ | | \ | | / | | | | |\ /| | / \ | | \ | | / | | | | | \ / | |___ /____\ | | \ | |/ |___| | | | \/ | | / \ | | / | |\ |\ | | | | | / \ | | / | | \ | \ | | | | ___|/ \___|___ |___/ ___|___ | \ | \ |___| | | ==================================================================================== ==================================================================================== """ ```
instruction
0
35,432
11
70,864
Yes
output
1
35,432
11
70,865