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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Andrew, Fedor and Alex are inventive guys. Now they invent the game with strings for two players. Given a group of n non-empty strings. During the game two players build the word together, init...
instruction
0
12,841
19
25,682
No
output
1
12,841
19
25,683
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Andrew, Fedor and Alex are inventive guys. Now they invent the game with strings for two players. Given a group of n non-empty strings. During the game two players build the word together, init...
instruction
0
12,842
19
25,684
No
output
1
12,842
19
25,685
Provide tags and a correct Python 3 solution for this coding contest problem. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room allows you to go the (j+1)-th room (and completing...
instruction
0
13,471
19
26,942
Tags: greedy, math, probabilities Correct Solution: ``` def add(a, b): return (a + b) % mod def mult(a, b): tmp = (a % mod) * (b % mod) return tmp % mod n = int(input()) c = [int(i) for i in input().split()] c.sort(reverse = True) pref = [0] * (n + 1) pref[0] = 0 for i in range(1, n + 1): pref[i] = pre...
output
1
13,471
19
26,943
Provide tags and a correct Python 3 solution for this coding contest problem. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room allows you to go the (j+1)-th room (and completing...
instruction
0
13,472
19
26,944
Tags: greedy, math, probabilities Correct Solution: ``` from sys import stdin input = stdin.buffer.readline def inv(x): return pow(x, mod - 2, mod) mod = 998244353 n = int(input()) a = sorted(map(int, input().split()), reverse=True) p = [0] * (n + 1) p[0] = a[0] for i in range(1, n): p[i] = p[i - 1] + a[i] #print(p) ...
output
1
13,472
19
26,945
Provide tags and a correct Python 3 solution for this coding contest problem. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room allows you to go the (j+1)-th room (and completing...
instruction
0
13,473
19
26,946
Tags: greedy, math, probabilities Correct Solution: ``` from sys import stdin def inverse(a,mod): return pow(a,mod-2,mod) n = int(stdin.readline()) c = list(map(int,stdin.readline().split())) mod = 998244353 c.sort() d = [0] for i in range(n): d.append(d[-1] + c[i]) inv = inverse( n , mod ) ans = [] for k ...
output
1
13,473
19
26,947
Provide tags and a correct Python 3 solution for this coding contest problem. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room allows you to go the (j+1)-th room (and completing...
instruction
0
13,474
19
26,948
Tags: greedy, math, probabilities Correct Solution: ``` n=int(input());c=sorted(list(map(int,input().split())));mod=998244353;inv=pow(n,mod-2,mod);imos=[c[i] for i in range(n)];res=[0]*n for i in range(1,n):imos[i]+=imos[i-1] for i in range(1,n+1): temp=0;L=n-i;R=n-1;count=0 while True: temp+=count*(imo...
output
1
13,474
19
26,949
Provide tags and a correct Python 3 solution for this coding contest problem. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room allows you to go the (j+1)-th room (and completing...
instruction
0
13,475
19
26,950
Tags: greedy, math, probabilities Correct Solution: ``` from itertools import accumulate def readline(): return map(int, input().split()) MOD = 998244353 def sum_mod(a, b): return (a + b) % MOD def main(): n = int(input()) c = sorted(readline()) assert len(c) == n psums = list(accumulate...
output
1
13,475
19
26,951
Provide tags and a correct Python 3 solution for this coding contest problem. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room allows you to go the (j+1)-th room (and completing...
instruction
0
13,476
19
26,952
Tags: greedy, math, probabilities Correct Solution: ``` n=int(input()) c=list(map(int,input().split())) mod=998244353 inv=pow(n,mod-2,mod) c.sort() imos=[c[i] for i in range(n)] for i in range(1,n): imos[i]+=imos[i-1] res=[0]*n for i in range(1,n+1): temp=0 L=n-i R=n-1 count=0 while True: ...
output
1
13,476
19
26,953
Provide tags and a correct Python 3 solution for this coding contest problem. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room allows you to go the (j+1)-th room (and completing...
instruction
0
13,477
19
26,954
Tags: greedy, math, probabilities Correct Solution: ``` import sys sys.setrecursionlimit(10 ** 5) 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 LI(): return list(map(int, sys.stdin.readline().split(...
output
1
13,477
19
26,955
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room all...
instruction
0
13,478
19
26,956
No
output
1
13,478
19
26,957
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are creating a level for a video game. The level consists of n rooms placed in a circle. The rooms are numbered 1 through n. Each room contains exactly one exit: completing the j-th room all...
instruction
0
13,479
19
26,958
No
output
1
13,479
19
26,959
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,671
19
27,342
Tags: constructive algorithms, greedy, math Correct Solution: ``` n, k = map(int, input().split()) print(k * (6 * n - 1)) for i in range(1, n + 1): x = (i - 1) * 6 + 1 print(k * x, end = ' ') print(k * (x + 1), end = ' ') print(k * (x + 2), end = ' ') print(k * (x + 4)) ```
output
1
13,671
19
27,343
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,672
19
27,344
Tags: constructive algorithms, greedy, math Correct Solution: ``` n,k=map(int,input().split()) print((6*n-1)*k) for i in range(0,6*n,6): print((i+1)*k,(i+2)*k,(i+3)*k,(i+5)*k) ```
output
1
13,672
19
27,345
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,673
19
27,346
Tags: constructive algorithms, greedy, math Correct Solution: ``` n,k=map(int,input().split()) print((6*n-1)*k) maxx=-1 for i in range(0,n): a,b,c,d=k*(6*i+1),k*(6*i+2),k*(6*i+3),k*(6*i+5) print(a,b,c,d) ```
output
1
13,673
19
27,347
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,674
19
27,348
Tags: constructive algorithms, greedy, math Correct Solution: ``` n, k = map(int, input().split()) l = [1, 2, 3, 5] print((6 * n - 1) * k) for i in range(n): for j in l: print((6 * i + j) * k, end=' ') print() ```
output
1
13,674
19
27,349
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,675
19
27,350
Tags: constructive algorithms, greedy, math Correct Solution: ``` a, b = map(int, input().split(' ')) print((6*a-1)*b) for i in range(a): print((6*i+1)*b, (6*i+2)*b, (6*i+3)*b, (6*i+5)*b) ```
output
1
13,675
19
27,351
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,676
19
27,352
Tags: constructive algorithms, greedy, math Correct Solution: ``` n, k = map(int, input().split()) print(k*(6*n-1)) for i in range (n): print(k*(6*i+1), k * (6*i+3), k*(6*i+4), k * (6*i+5)) ```
output
1
13,676
19
27,353
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,677
19
27,354
Tags: constructive algorithms, greedy, math Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * # from fractions import * # from heapq import* from bisect import * from io import BytesIO, IOBase def vsInput(): sys.stdin...
output
1
13,677
19
27,355
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater than 0. Define S to be of rank k if and only if f...
instruction
0
13,678
19
27,356
Tags: constructive algorithms, greedy, math Correct Solution: ``` n, k = list(map(int,input().split())) print((6*n-1)*k) for i in range(0, n): print((6*i+1)*k,(6*i+2)*k,(6*i+3)*k,(6*i+5)*k) ```
output
1
13,678
19
27,357
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
13,683
19
27,366
No
output
1
13,683
19
27,367
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon likes to play with sets, integers and <image>. <image> is defined as the largest positive integer that divides both a and b. Let S be a set of exactly four distinct integers greater th...
instruction
0
13,686
19
27,372
No
output
1
13,686
19
27,373
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,836
19
27,672
Tags: greedy, two pointers Correct Solution: ``` n,m,k = map(int,input().split()) x,y = 0,0 a = [] for i in range(n): a.append(list(map(int, input().split()))) for i in zip(*a): u,v = 0,0 for j in range(n-k+1): p,q = sum(i[j:j+k]), sum(i[:j]) if p > u: u = p v = q x += u y += v print(x,y) ```
output
1
13,836
19
27,673
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,837
19
27,674
Tags: greedy, two pointers Correct Solution: ``` n,m, k = map(int, input().split()) a = [] for i in range(n): a.append(list(map(int, input().split()))) ans = 0 ans1 = 0 for j in range(m): mv = 0 td = 0 cc = 0 no = 0 for i in range(n): if a[i][j]: v = 0 for z in ra...
output
1
13,837
19
27,675
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,838
19
27,676
Tags: greedy, two pointers Correct Solution: ``` row,colum,k = map(int, input().split()) colums = [[] for i in range(colum)] for i in range(row): temp = list(map(int, input().split())) for i in range(colum): colums[i].append(temp[i]) c = 0 ans = 0 for i in colums: count = 0 for j in range(row-k+...
output
1
13,838
19
27,677
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,839
19
27,678
Tags: greedy, two pointers Correct Solution: ``` def cal(col,index,k): one = 0 for i in range(index,len(col)): if col[i] == 1: for j in range(i,min(len(col),i+k)): if col[j] == 1: one += 1 break return one def solve(col,k): change = 0...
output
1
13,839
19
27,679
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,840
19
27,680
Tags: greedy, two pointers Correct Solution: ``` import math #n,m=map(int,input().split()) from collections import Counter #for i in range(n): import math #for _ in range(int(input())): #n = int(input()) #for _ in range(int(input())): #n = int(input()) import bisect '''for _ in range(int(input())): n=int(input()) ...
output
1
13,840
19
27,681
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,841
19
27,682
Tags: greedy, two pointers Correct Solution: ``` f = lambda: map(int, input().split()) n, m, k = f() s = d = 0 for t in zip(*[f() for i in range(n)]): p, q = x, y = sum(t[:k]), 0 for j in range(n - k): p += t[j + k] - t[j] q += t[j] if p > x: x, y = p, q s += x d += y print(s, d)...
output
1
13,841
19
27,683
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,842
19
27,684
Tags: greedy, two pointers Correct Solution: ``` n, m, k = map(int, input().split()); a = []; b = []; score = []; ct = 0 for i in range(n): a.append([int(x) for x in input().split()]) for i in range(m): b.append([]) for i in range(m): for j in range(n): b[i].append(a[j][i]) for i in range(m)...
output
1
13,842
19
27,685
Provide tags and a correct Python 3 solution for this coding contest problem. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of ones in this matrix with zeroes. After that, h...
instruction
0
13,843
19
27,686
Tags: greedy, two pointers Correct Solution: ``` # -*- coding: utf-8 -*- import math import collections import bisect import heapq import time import random """ created by shhuan at 2017/10/12 23:03 """ n, m, k = map(int, input().split()) a = [] for i in range(n): a.append([int(x) for x in input().split()]) ...
output
1
13,843
19
27,687
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,844
19
27,688
Yes
output
1
13,844
19
27,689
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,845
19
27,690
Yes
output
1
13,845
19
27,691
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,846
19
27,692
Yes
output
1
13,846
19
27,693
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,847
19
27,694
Yes
output
1
13,847
19
27,695
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,848
19
27,696
No
output
1
13,848
19
27,697
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,849
19
27,698
No
output
1
13,849
19
27,699
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,850
19
27,700
No
output
1
13,850
19
27,701
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Ivan is playing a strange game. He has a matrix a with n rows and m columns. Each element of the matrix is equal to either 0 or 1. Rows and columns are 1-indexed. Ivan can replace any number of...
instruction
0
13,851
19
27,702
No
output
1
13,851
19
27,703
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Monocarp and Bicarp live in Berland, where every bus ticket consists of n digits (n is an even number). During the evening walk Monocarp and Bicarp found a ticket where some of the digits have b...
instruction
0
14,236
19
28,472
Yes
output
1
14,236
19
28,473
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Monocarp and Bicarp live in Berland, where every bus ticket consists of n digits (n is an even number). During the evening walk Monocarp and Bicarp found a ticket where some of the digits have b...
instruction
0
14,238
19
28,476
Yes
output
1
14,238
19
28,477
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Monocarp and Bicarp live in Berland, where every bus ticket consists of n digits (n is an even number). During the evening walk Monocarp and Bicarp found a ticket where some of the digits have b...
instruction
0
14,239
19
28,478
Yes
output
1
14,239
19
28,479
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Monocarp and Bicarp live in Berland, where every bus ticket consists of n digits (n is an even number). During the evening walk Monocarp and Bicarp found a ticket where some of the digits have b...
instruction
0
14,241
19
28,482
No
output
1
14,241
19
28,483
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. When they are bored, Federico and Giada often play the following card game with a deck containing 6n cards. Each card contains one number between 1 and 6n and each number appears on exactly one...
instruction
0
14,365
19
28,730
No
output
1
14,365
19
28,731
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. When they are bored, Federico and Giada often play the following card game with a deck containing 6n cards. Each card contains one number between 1 and 6n and each number appears on exactly one...
instruction
0
14,366
19
28,732
No
output
1
14,366
19
28,733
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. When they are bored, Federico and Giada often play the following card game with a deck containing 6n cards. Each card contains one number between 1 and 6n and each number appears on exactly one...
instruction
0
14,367
19
28,734
No
output
1
14,367
19
28,735
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. When they are bored, Federico and Giada often play the following card game with a deck containing 6n cards. Each card contains one number between 1 and 6n and each number appears on exactly one...
instruction
0
14,368
19
28,736
No
output
1
14,368
19
28,737
Provide a correct Python 3 solution for this coding contest problem. You are playing a game and your goal is to maximize your expected gain. At the beginning of the game, a pawn is put, uniformly at random, at a position p\in\\{1,2,\dots, N\\}. The N positions are arranged on a circle (so that 1 is between N and 2). ...
instruction
0
14,774
19
29,548
"Correct Solution: ``` from math import gcd n = int(input()) a = list(map(int,input().split())) b = list(map(int,input().split())) class Seg_min(): def __init__(self,x): #####単位元###### self.ide_ele_min = 10**10 self.func = min self.n = len(x) #num_max:n以上の最小の2のべき乗 ...
output
1
14,774
19
29,549
Provide a correct Python 3 solution for this coding contest problem. You are playing a game and your goal is to maximize your expected gain. At the beginning of the game, a pawn is put, uniformly at random, at a position p\in\\{1,2,\dots, N\\}. The N positions are arranged on a circle (so that 1 is between N and 2). ...
instruction
0
14,775
19
29,550
"Correct Solution: ``` from bisect import bisect_right def det(p1, p2, p3): area = (p2[0] - p1[0])*(p3[1] - p1[1]) - (p2[1] - p1[1])*(p3[0] - p1[0]) return area > 0 def convex_hull(pts): pts = sorted(pts) n = len(pts) extsize = 0 extpts = [] for i in range(n): while extsize > 1: ...
output
1
14,775
19
29,551
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are playing a game and your goal is to maximize your expected gain. At the beginning of the game, a pawn is put, uniformly at random, at a position p\in\\{1,2,\dots, N\\}. The N positions ar...
instruction
0
14,776
19
29,552
No
output
1
14,776
19
29,553
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are playing a game and your goal is to maximize your expected gain. At the beginning of the game, a pawn is put, uniformly at random, at a position p\in\\{1,2,\dots, N\\}. The N positions ar...
instruction
0
14,777
19
29,554
No
output
1
14,777
19
29,555
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are playing a game and your goal is to maximize your expected gain. At the beginning of the game, a pawn is put, uniformly at random, at a position p\in\\{1,2,\dots, N\\}. The N positions ar...
instruction
0
14,778
19
29,556
No
output
1
14,778
19
29,557