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Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,358
0
178,716
Tags: implementation, number theory, strings Correct Solution: ``` import sys from functools import lru_cache, cmp_to_key from heapq import merge, heapify, heappop, heappush # from math import * from collections import defaultdict as dd, deque, Counter as C from itertools import combinations as comb, permutations as pe...
output
1
89,358
0
178,717
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,359
0
178,718
Tags: implementation, number theory, strings Correct Solution: ``` #------------------------template--------------------------# import os import sys from math import * from collections import * from fractions import * from bisect import * from heapq import* from io import BytesIO, IOBase def vsInput(): sys.stdin = ...
output
1
89,359
0
178,719
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,360
0
178,720
Tags: implementation, number theory, strings Correct Solution: ``` #!/usr/bin/python3 s = input() d = dict() for c in s: if c not in d: d[c] = 0 d[c] += 1 cnto = 1 isprime = [True] * (len(s) + 1) for p in range(2, len(s) + 1): if isprime[p]: for i in range(p * p, len(s) + 1, p): ...
output
1
89,360
0
178,721
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,361
0
178,722
Tags: implementation, number theory, strings Correct Solution: ``` from collections import Counter def is_prime(x): if x < 2: return 0 for i in range(2, x): if x % i == 0: return False return True def proc(s): n = len(s) same = set() for p in range(2,n+1): i...
output
1
89,361
0
178,723
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,362
0
178,724
Tags: implementation, number theory, strings Correct Solution: ``` import math ch='abcdefghijklmnopqrstuvwxyz' def sieve(n): p = 2 while (p * p <= n): if (prime[p] == True): for i in range(p * 2, n + 1, p): prime[i] = False p += 1 prime[0]= False prime[1]=...
output
1
89,362
0
178,725
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,363
0
178,726
Tags: implementation, number theory, strings Correct Solution: ``` S = input() s = [] d = {} n = 0 for i in S: if ord('a') <= ord(i) <= ord('z'): n += 1 if i in d: d[i] += 1 else: d[i] = 1 primes = [] for i in range(max(3,n // 2 + 1), n+1): j = 2 f = 0 wh...
output
1
89,363
0
178,727
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,364
0
178,728
Tags: implementation, number theory, strings Correct Solution: ``` def prime(a): i = 2 while i * i <= a: if a % i == 0: return False i += 1 return True tab = list(input()) letter_count = {} for letter in tab: if letter in letter_count: letter_count[letter] += 1 ...
output
1
89,364
0
178,729
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out if it is possible to rearrange characters in str...
instruction
0
89,365
0
178,730
Tags: implementation, number theory, strings Correct Solution: ``` from collections import Counter d, t = 'NO', input() c, n = Counter(t), len(t) p = [0] * (n + 1) for i in range(2, n // 2 + 1): if 1 - p[i]: p[i::i] = [1] * (n // i) s = sum(p) u = v = '' for q, k in c.items(): if v or k < s: u += q * k...
output
1
89,365
0
178,731
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,366
0
178,732
Yes
output
1
89,366
0
178,733
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,367
0
178,734
Yes
output
1
89,367
0
178,735
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,368
0
178,736
Yes
output
1
89,368
0
178,737
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,369
0
178,738
Yes
output
1
89,369
0
178,739
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,370
0
178,740
No
output
1
89,370
0
178,741
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,371
0
178,742
No
output
1
89,371
0
178,743
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,372
0
178,744
No
output
1
89,372
0
178,745
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a string s, consisting of small Latin letters. Let's denote the length of the string as |s|. The characters in the string are numbered starting from 1. Your task is to find out i...
instruction
0
89,373
0
178,746
No
output
1
89,373
0
178,747
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,741
0
179,482
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` from collections import defaultdict import sys, os, math if __name__ == "__main__": #n, m = list(map(int, input().split())) a00, a01, a10, a11 = map(int, input().split()) x, y = int((1 + math.sqrt(1 + 8 * a11)) // 2), int((1...
output
1
89,741
0
179,483
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,742
0
179,484
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` a00, a01, a10, a11 = map(int, input().split()) numZeros = 0 numOnes = 0 ans = True for n0 in range(1, 2*a00 + 1): if n0 * (n0 - 1) == 2 * a00: numZeros = n0 break elif n0 * (n0 - 1) > 2 * a00: ans = False ...
output
1
89,742
0
179,485
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,743
0
179,486
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` #!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Created on Mon Jun 1 15:32:44 2020 @author: shailesh """ import math a00,a01,a10,a11 = [int(i) for i in input().split()] #l = sorted([a00,a01,a10,a11]) done = 0 if a00==0 and a11 ...
output
1
89,743
0
179,487
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,744
0
179,488
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` #!/usr/bin/env python3.5 import sys import math def read_data(): return tuple(map(int, next(sys.stdin).split())) def reverse_count(k): d = math.sqrt(1 + 8*k) n = int((1+d)/2 + .5) if n*(n-1) == 2*k: return n ...
output
1
89,744
0
179,489
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,745
0
179,490
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` from math import * from sys import * def calc(f): return int((1+sqrt(8*f+1))//2) a,b,c,d=(int(z) for z in input().split()) if a==d==0 and b==1 and c==0: print("01") exit(0) if a==d==0 and b==0 and c==1: print("10") exit(0) if ...
output
1
89,745
0
179,491
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,746
0
179,492
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` import sys import math def check(): n = 1000000 for i in range(n): if is_square(1+8*i): print(i) def is_square(integer): root = math.sqrt(integer) if int(root + 0.5) ** 2 == integer: re...
output
1
89,746
0
179,493
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,747
0
179,494
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` def impossible(): print("Impossible") exit() def good(ones, zeros): return ones * zeros == a01 + a10 a00, a01, a10, a11 = map(int, input().split()) if int(round((a00 * 8 + 1) ** 0.5)) ** 2 != a00 * 8 + 1: impossible()...
output
1
89,747
0
179,495
Provide tags and a correct Python 3 solution for this coding contest problem. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequence {x, y}. In these problem you are given fou...
instruction
0
89,748
0
179,496
Tags: constructive algorithms, greedy, implementation, math Correct Solution: ``` def F(s): x00 = x01 = x10 = x11 = 0 for i in range(len(s)): for j in range(i + 1, len(s)): cur = s[i] + s[j] if cur == '00': x00 += 1 if cur == '01': x01 += 1 if cur == '10':...
output
1
89,748
0
179,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
89,751
0
179,502
No
output
1
89,751
0
179,503
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
89,752
0
179,504
No
output
1
89,752
0
179,505
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For each string s consisting of characters '0' and '1' one can define four integers a00, a01, a10 and a11, where axy is the number of subsequences of length 2 of the string s equal to the sequen...
instruction
0
89,754
0
179,508
No
output
1
89,754
0
179,509
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,789
0
179,578
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` S=str(input()) n=int(input()) b=str(input()) M=[b] m=11 for i in range(n-1): f=0 b=str(input()) for i in range(len(M)): if len(M[i])>=len(b): M=M[:i]+[b]+M[i:] f=1 break if...
output
1
89,789
0
179,579
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,790
0
179,580
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` S=str(input()) n=int(input()) b=str(input()) M=[b] m=11 for i in range(n-1): f=0 b=str(input()) for i in range(len(M)): if len(M[i])>=len(b): M=M[:i]+[b]+M[i:] f=1 ...
output
1
89,790
0
179,581
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,791
0
179,582
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` import os import sys from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in ...
output
1
89,791
0
179,583
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,792
0
179,584
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` # import functools # # # class Automaton: # def __init__(self, start, ends, transitions): # self.start = start # self.ends = set(ends) # self.transitions = transitions # [dict] # # def next_states(se...
output
1
89,792
0
179,585
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,793
0
179,586
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` s = input() n = int(input()) b = [] for i in range(n): b.append(input()) s_original = s s_dict = {s: 1} for bi in b: while True: new_s_dict = {} for s in s_dict.keys(): part_list = s.split(bi) ...
output
1
89,793
0
179,587
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,794
0
179,588
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` #On récupère les données chaine = input() n = int(input()) all_borings = sorted([input() for _ in range(n)], key=lambda s : len(s)) #On traite un cas particulier à priori pb chaine_uniforme = True; first = chaine[0] for c in chaine...
output
1
89,794
0
179,589
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,795
0
179,590
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` s, n = input(), int(input()) t = [input() for i in range(n)] def f(i): global t for j in range(n): if i < j: if len(t[j]) < len(t[i]) and t[j] in t[i]: return False elif j < i and t[j] in t[i]: r...
output
1
89,795
0
179,591
Provide tags and a correct Python 3 solution for this coding contest problem. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to go to her castle. Taro's response to her was a...
instruction
0
89,796
0
179,592
Tags: data structures, dp, greedy, hashing, strings, two pointers Correct Solution: ``` R = lambda : map(int, input().split()) s = input() n = int(input()) words = [input() for i in range(n)] dp = [-1] * len(s) for w in words: si = 0 while si != -1: si = s.find(w, si) if si >= 0: dp[...
output
1
89,796
0
179,593
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to...
instruction
0
89,797
0
179,594
Yes
output
1
89,797
0
179,595
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to...
instruction
0
89,798
0
179,596
No
output
1
89,798
0
179,597
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to...
instruction
0
89,799
0
179,598
No
output
1
89,799
0
179,599
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to...
instruction
0
89,800
0
179,600
No
output
1
89,800
0
179,601
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. After Fox Ciel got off a bus, she found that the bus she was on was a wrong bus and she lost her way in a strange town. However, she fortunately met her friend Beaver Taro and asked which way to...
instruction
0
89,801
0
179,602
No
output
1
89,801
0
179,603
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,897
0
179,794
"Correct Solution: ``` LARGE = 998244353 def solve(n): r = 0 mck = 1 factorial_n = 1 factorial_inv = [0] * (n + 1) factorial_inv[0] = 1 for i in range(1, n + 1): factorial_n *= i factorial_n %= LARGE factorial_inv[-1] = pow(factorial_n, LARGE - 2, LARGE) for i in range(...
output
1
89,897
0
179,795
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,898
0
179,796
"Correct Solution: ``` N = int(input()) nn = N + 10 P = 998244353 fa = [1] * (nn+1) fainv = [1] * (nn+1) for i in range(nn): fa[i+1] = fa[i] * (i+1) % P fainv[-1] = pow(fa[-1], P-2, P) for i in range(nn)[::-1]: fainv[i] = fainv[i+1] * (i+1) % P C = lambda a, b: fa[a] * fainv[b] % P * fainv[a-b] % P if 0 <= b ...
output
1
89,898
0
179,797
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,899
0
179,798
"Correct Solution: ``` def calc(n, mod): f = 1 fac = [1] for i in range(1, n + 1): f *= i f %= mod fac.append(f) inv = pow(f, mod - 2, mod) invs = [1] * (n + 1) invs[n] = inv for i in range(n, 1, -1): inv *= i inv %= mod invs[i - 1] = inv return fac, invs def cnk(n, r, mod, fac, inv): return fac[n...
output
1
89,899
0
179,799
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,900
0
179,800
"Correct Solution: ``` #C def main(): mod=998244353 n=int(input()) Fact=[1] #階乗 for i in range(1,n+1): Fact.append(Fact[i-1]*i%mod) Finv=[0]*(n+1) #階乗の逆元 Finv[-1]=pow(Fact[-1],mod-2,mod) for i in range(n-1,-1,-1): Finv[i]=Finv[i+1]*(i+1)%mod def comb(n,r): if n<r:...
output
1
89,900
0
179,801
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,901
0
179,802
"Correct Solution: ``` N=int(input()) mod=998244353 FACT=[1] for i in range(1,N+1): FACT.append(FACT[-1]*i%mod) FACT_INV=[pow(FACT[-1],mod-2,mod)] for i in range(N,0,-1): FACT_INV.append(FACT_INV[-1]*i%mod) FACT_INV.reverse() POW=[1] for i in range(N): POW.append(POW[-1]*2%mod) def Combi(a,b): retu...
output
1
89,901
0
179,803
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,902
0
179,804
"Correct Solution: ``` MOD = 998244353 N = int(input()) ans = pow(3, N, MOD) def getInvs(n, MOD): invs = [1] * (n+1) for x in range(2, n+1): invs[x] = (-(MOD//x) * invs[MOD%x]) % MOD return invs def getCombNs(n, invs, MOD): combNs = [1] * (n//2+1) for x in range(1, n//2+1): combN...
output
1
89,902
0
179,805
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,903
0
179,806
"Correct Solution: ``` N = int(input()) nn = N + 10 P = 998244353 fa = [1] * (nn+1) fainv = [1] * (nn+1) for i in range(nn): fa[i+1] = fa[i] * (i+1) % P fainv[-1] = pow(fa[-1], P-2, P) for i in range(nn)[::-1]: fainv[i] = fainv[i+1] * (i+1) % P C = lambda a, b: fa[a] * fainv[b] % P * fainv[a-b] % P if 0 <= b ...
output
1
89,903
0
179,807
Provide a correct Python 3 solution for this coding contest problem. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by repeating the following operation: * Choose two consecutiv...
instruction
0
89,904
0
179,808
"Correct Solution: ``` n=int(input()) pre=[1]*(n//2+200) pp=[1]*(n+1) mod=998244353 for i in range(1,n//2+100): pre[i]=((pre[i-1]*2)%mod) p=[1]*(n+1) for i in range(n): p[i+1]=((p[i]*(i+1))%mod) pp[-1] = pow(p[-1], mod - 2, mod) for i in range(2, n + 1): pp[-i] = int((pp[-i + 1] * (n + 2 - i)) % mod) t...
output
1
89,904
0
179,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by re...
instruction
0
89,905
0
179,810
Yes
output
1
89,905
0
179,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given is a positive even number N. Find the number of strings s of length N consisting of `A`, `B`, and `C` that satisfy the following condition: * s can be converted to the empty string by re...
instruction
0
89,906
0
179,812
Yes
output
1
89,906
0
179,813