message
stringlengths
2
67k
message_type
stringclasses
2 values
message_id
int64
0
1
conversation_id
int64
463
109k
cluster
float64
19
19
__index_level_0__
int64
926
217k
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sam has been teaching Jon the Game of Stones to sharpen his mind and help him devise a strategy to fight the white walkers. The rules of this game are quite simple: * The game starts with n ...
instruction
0
52,719
19
105,438
No
output
1
52,719
19
105,439
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sam has been teaching Jon the Game of Stones to sharpen his mind and help him devise a strategy to fight the white walkers. The rules of this game are quite simple: * The game starts with n ...
instruction
0
52,720
19
105,440
No
output
1
52,720
19
105,441
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sam has been teaching Jon the Game of Stones to sharpen his mind and help him devise a strategy to fight the white walkers. The rules of this game are quite simple: * The game starts with n ...
instruction
0
52,721
19
105,442
No
output
1
52,721
19
105,443
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Sam has been teaching Jon the Game of Stones to sharpen his mind and help him devise a strategy to fight the white walkers. The rules of this game are quite simple: * The game starts with n ...
instruction
0
52,722
19
105,444
No
output
1
52,722
19
105,445
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,838
19
105,676
"Correct Solution: ``` n,m=map(int,input().split()) oddflag=True for i in range(1,m+1): mid=(1+n)//2 if oddflag: oddflag = False print(i//2 + 1 , n - i//2) else: oddflag = True print(mid + i//2, mid - i//2) ```
output
1
52,838
19
105,677
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,839
19
105,678
"Correct Solution: ``` inf = 10**15 mod = 10**9+7 n,m = map(int, input().split()) tmp = n//2 for i in range(m): if i % 2 == 0: print('{} {}'.format(tmp-i//2, tmp+1+i//2)) else: print('{} {}'.format(1+i//2, n-i//2-1)) ```
output
1
52,839
19
105,679
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,840
19
105,680
"Correct Solution: ``` import sys sys.setrecursionlimit(10 ** 6) input = sys.stdin.readline N, M = map(int, input().split()) res = [] def solve(l, r): global res if r <= l: return res.append((l, r)) solve(l + 1, r - 1) solve(1, M + 1) solve(M + 2, M * 2 + 1) for r in res: print(*r) ```
output
1
52,840
19
105,681
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,841
19
105,682
"Correct Solution: ``` # -*- coding: utf-8 -*- N,M = map(int, input().split()) if N%2==1: for i in range(M): print(M-i,M+1+i) else: for i in range(M): if 4*(i+1)>N: print(M-i,M+2+i) else: print(M-i,M+1+i) ```
output
1
52,841
19
105,683
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,842
19
105,684
"Correct Solution: ``` n, m = map(int, input().split()) if n % 2 == 1: for i in range(m): print(i + 1, n - i) else: for i in range(m): if 2 * (i + 1) <= m + 1: print(i + 1, n - i) else: print(i + 1, n - i - 1) ```
output
1
52,842
19
105,685
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,843
19
105,686
"Correct Solution: ``` # E - Rotation Matching N, M = map(int, input().split()) if N%2: for i in range(M): print(i+1, N-(i)) else: for i in range(M): if (i+1)+(N-(N-(i+1))) < N-(i+1)-(i+1): print(i+1, N-(i+1)) else: print(i+2, N-(i+1)) ```
output
1
52,843
19
105,687
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,844
19
105,688
"Correct Solution: ``` n,m=map(int,input().split()) l1,r2=1,2*m+1 if m%2: r1=m else: r1=m+1 l2=r1+1 for i in range(m//2): print(l1,r1) print(l2,r2) l1+=1 l2+=1 r1-=1 r2-=1 if m%2: print(l2,r2) ```
output
1
52,844
19
105,689
Provide a correct Python 3 solution for this coding contest problem. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are given distinct integers from 1 through N. The arena has ...
instruction
0
52,845
19
105,690
"Correct Solution: ``` N, M = map(int, input().split()) for i in range(1, M+1): if N % 2 == 1: print(i, N+1-i) else: if i <= N//4: print(i, N+1-i) else: print(i, N-i) ```
output
1
52,845
19
105,691
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,846
19
105,692
Yes
output
1
52,846
19
105,693
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,847
19
105,694
Yes
output
1
52,847
19
105,695
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,848
19
105,696
Yes
output
1
52,848
19
105,697
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,849
19
105,698
Yes
output
1
52,849
19
105,699
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,850
19
105,700
No
output
1
52,850
19
105,701
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,851
19
105,702
No
output
1
52,851
19
105,703
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,852
19
105,704
No
output
1
52,852
19
105,705
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are going to hold a competition of one-to-one game called AtCoder Janken. (Janken is the Japanese name for Rock-paper-scissors.) N players will participate in this competition, and they are ...
instruction
0
52,853
19
105,706
No
output
1
52,853
19
105,707
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,155
19
106,310
Tags: brute force, greedy, math Correct Solution: ``` q = int(input()) out = [] for i in range(q): n = int(input()) lst = sorted(map(int, input().split())) lst = [i for i in lst if i <= 2048] while 2048 not in lst and len(lst) > 1 and len(lst) != len(set(lst)): if lst[0] == lst[1]: l...
output
1
53,155
19
106,311
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,156
19
106,312
Tags: brute force, greedy, math Correct Solution: ``` t = int(input()) for _ in range(t): n=int(input()) a=list(map(int,input().split())) a.sort(reverse=True) for i in range(n): num = 0 f=0 if a[i]>2048: continue else: for j in range(i,n): if num+a[j]==2048: f=1 print("YES") bre...
output
1
53,156
19
106,313
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,157
19
106,314
Tags: brute force, greedy, math Correct Solution: ``` def solve(n,a): a.sort() i = 0 while i+1 < len(a): if a[i] == a[i + 1]: a.append(a[i] * 2) del a[i] del a[i] else: i += 1 if 2048 in a: return "YES" a.sort() ...
output
1
53,157
19
106,315
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,158
19
106,316
Tags: brute force, greedy, math Correct Solution: ``` from collections import Counter def solve (): n = int(input()) arr = list(map(int, input().split())) if 2048 in arr : return "Yes" while 1 : if arr.count(min(arr)) > 1 : arr.append(2*min(arr)) ...
output
1
53,158
19
106,317
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,159
19
106,318
Tags: brute force, greedy, math Correct Solution: ``` q=int(input()) for i in range(q): n=int(input()) lst=list(map(int,input().split())) lst.sort() while True: if 2048 in lst: break b=0 s=len(lst) for j in range(s): a=0 for p in range(...
output
1
53,159
19
106,319
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,160
19
106,320
Tags: brute force, greedy, math Correct Solution: ``` # cook your dish here t=int(input()) for i in range(t): sum=0 n=int(input()) l=list(map(int,input().split())) for j in range(n): if(l[j]<=2048): sum+=l[j] if sum>=2048: print("YES") else: print("NO") ...
output
1
53,160
19
106,321
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,161
19
106,322
Tags: brute force, greedy, math Correct Solution: ``` from collections import defaultdict as dd for _ in range(int(input())): n = int(input()) a = list(map(int,input().split())) s = 0 flag = 0 for i in a: if(i<=2048): s+=i if(s>=2048): flag = 1 pri...
output
1
53,161
19
106,323
Provide tags and a correct Python 3 solution for this coding contest problem. You are playing a variation of game 2048. Initially you have a multiset s of n integers. Every integer in this multiset is a power of two. You may perform any number (possibly, zero) operations with this multiset. During each operation yo...
instruction
0
53,162
19
106,324
Tags: brute force, greedy, math Correct Solution: ``` n = int(input()) for i in range(n): ff = {} r = int(input()) for j in input().split(): ff[int(j)] = ff.get(int(j), 0) + 1 if ff.get(1, 0) > 0: ff[2] = ff.get(2, 0) + (ff[1]//2) for j in range(1, 11): c ...
output
1
53,162
19
106,325
Provide tags and a correct Python 3 solution for this coding contest problem. Bob is playing with 6-sided dice. A net of such standard cube is shown below. <image> He has an unlimited supply of these dice and wants to build a tower by stacking multiple dice on top of each other, while choosing the orientation of eac...
instruction
0
53,172
19
106,344
Tags: constructive algorithms, math Correct Solution: ``` n = int(input()) def getAns(li): for x in li: if x > 14: if x % 14 <= 6 and x % 14 > 0: print("YES") else: print("NO") else: print("NO") getAns([int(x) for x in input().s...
output
1
53,172
19
106,345
Provide tags and a correct Python 3 solution for this coding contest problem. Bob is playing with 6-sided dice. A net of such standard cube is shown below. <image> He has an unlimited supply of these dice and wants to build a tower by stacking multiple dice on top of each other, while choosing the orientation of eac...
instruction
0
53,176
19
106,352
Tags: constructive algorithms, math Correct Solution: ``` n = int(input()) entrada = input().split(" ") for k in range(n): x1 = (int(entrada[k])-15)//14 if(int(entrada[k]) < 15): print('NO') elif(int(entrada[k]) >= x1*14+15 and int(entrada[k]) <= x1*14+20): print('YES') else: pri...
output
1
53,176
19
106,353
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob is playing with 6-sided dice. A net of such standard cube is shown below. <image> He has an unlimited supply of these dice and wants to build a tower by stacking multiple dice on top of ea...
instruction
0
53,179
19
106,358
Yes
output
1
53,179
19
106,359
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob is playing with 6-sided dice. A net of such standard cube is shown below. <image> He has an unlimited supply of these dice and wants to build a tower by stacking multiple dice on top of ea...
instruction
0
53,181
19
106,362
Yes
output
1
53,181
19
106,363
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob is playing with 6-sided dice. A net of such standard cube is shown below. <image> He has an unlimited supply of these dice and wants to build a tower by stacking multiple dice on top of ea...
instruction
0
53,182
19
106,364
Yes
output
1
53,182
19
106,365
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob is playing with 6-sided dice. A net of such standard cube is shown below. <image> He has an unlimited supply of these dice and wants to build a tower by stacking multiple dice on top of ea...
instruction
0
53,183
19
106,366
No
output
1
53,183
19
106,367
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob is playing with 6-sided dice. A net of such standard cube is shown below. <image> He has an unlimited supply of these dice and wants to build a tower by stacking multiple dice on top of ea...
instruction
0
53,184
19
106,368
No
output
1
53,184
19
106,369
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,735
19
107,470
"Correct Solution: ``` #!/usr/bin/env python3 M = 998244353 fact = None factr = None def comb(n, k): if n <= 0 or k < 0 or n < k: return 0 r = fact[n] * factr[k] % M r *= factr[n - k] r %= M return r def solve(k, n): global fact, factr inv = [1] * (k + n + 1) for i in range(...
output
1
53,735
19
107,471
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,736
19
107,472
"Correct Solution: ``` K, N = map(int, input().split()) mod = 998244353 def inved(a): x, y, u, v, k, l = 1, 0, 0, 1, a, mod while l != 0: x, y, u, v = u, v, x - u * (k // l), y - v * (k // l) k, l = l, k % l return x % mod X = [0 for i in range(2*K-1)] frac = [1] for i in range(N + K): frac.append(((i+...
output
1
53,736
19
107,473
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,737
19
107,474
"Correct Solution: ``` K, N = map(int, input().split()) MOD = 998244353 P = N+K fact = [1]*(P+1) rfact = [1]*(P+1) for i in range(P): fact[i+1] = r = ((i+1) * fact[i]) % MOD rfact[i+1] = pow(r, MOD-2, MOD) def comb(n, k): return fact[n] * rfact[k] * rfact[n-k] % MOD V = [1]*(P+1) r = 1 for i in range(P):...
output
1
53,737
19
107,475
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,738
19
107,476
"Correct Solution: ``` K, N = map(int, input().split()) mod = 998244353 A = [] p = mod - 2 while p != 0: A = [p%2] + A[:] p //= 2 def inved(x): y = 1 for _ in range(len(A)): if A[_] == 1: y *= x y %= mod if _ != len(A) - 1: y *= y y %= mod return y X = [0 for i in range(2*K-1)...
output
1
53,738
19
107,477
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,739
19
107,478
"Correct Solution: ``` 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 LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return ...
output
1
53,739
19
107,479
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,740
19
107,480
"Correct Solution: ``` from collections import defaultdict,deque import sys,heapq,bisect,math,itertools,string,queue,datetime sys.setrecursionlimit(10**8) INF = float('inf') mod = 998244353 eps = 10**-7 def inp(): return int(input()) def inpl(): return list(map(int, input().split())) def inpls(): return list(input().sp...
output
1
53,740
19
107,481
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,741
19
107,482
"Correct Solution: ``` class Combination: """ O(n)の前計算を1回行うことで,O(1)でnCr mod mを求められる n_max = 10**6のとき前処理は約950ms (PyPyなら約340ms, 10**7で約1800ms) 使用例: comb = Combination(1000000) print(comb(5, 3)) # 10 """ def __init__(self, n_max, mod=10**9+7): self.mod = mod self.modinv = s...
output
1
53,741
19
107,483
Provide a correct Python 3 solution for this coding contest problem. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The number of combinations of N sides shown by the dice such t...
instruction
0
53,742
19
107,484
"Correct Solution: ``` K, N = map(int, input().split()) mod = 998244353 def cmb(n, r, mod): if (r < 0 or r > n): return 0 r = min(r, n-r) return g1[n] * g2[r] * g2[n-r] % mod def H(n, k, mod): return cmb(n+k-1, k, mod) Nmax = 10**5 g1 = [1, 1] g2 = [1, 1] inv = [0, 1] for i in range(2, Nma...
output
1
53,742
19
107,485
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The nu...
instruction
0
53,743
19
107,486
Yes
output
1
53,743
19
107,487
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The nu...
instruction
0
53,744
19
107,488
Yes
output
1
53,744
19
107,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The nu...
instruction
0
53,745
19
107,490
Yes
output
1
53,745
19
107,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The nu...
instruction
0
53,746
19
107,492
Yes
output
1
53,746
19
107,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The nu...
instruction
0
53,747
19
107,494
No
output
1
53,747
19
107,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The nu...
instruction
0
53,748
19
107,496
No
output
1
53,748
19
107,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi throws N dice, each having K sides with all integers from 1 to K. The dice are NOT pairwise distinguishable. For each i=2,3,...,2K, find the following value modulo 998244353: * The nu...
instruction
0
53,749
19
107,498
No
output
1
53,749
19
107,499