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Provide tags and a correct Python 3 solution for this coding contest problem. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ≀ n). Input The first line of input contains ...
instruction
0
19,648
12
39,296
Tags: greedy, sortings Correct Solution: ``` #!/usr/bin/env python3 # -*- coding: utf-8 -*- """ Created on Tue Dec 1 10:08:25 2020 @author: beto """ def reacomodo(x, lista_a, lista_b): for i in range(len(lista_a)): if lista_a[i] + lista_b[abs(i-len(lista_a)+1)] > x: return...
output
1
19,648
12
39,297
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,649
12
39,298
Yes
output
1
19,649
12
39,299
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,650
12
39,300
Yes
output
1
19,650
12
39,301
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,651
12
39,302
Yes
output
1
19,651
12
39,303
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,652
12
39,304
Yes
output
1
19,652
12
39,305
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,653
12
39,306
No
output
1
19,653
12
39,307
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,654
12
39,308
No
output
1
19,654
12
39,309
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,655
12
39,310
No
output
1
19,655
12
39,311
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given two arrays a and b, each consisting of n positive integers, and an integer x. Please determine if one can rearrange the elements of b so that a_i + b_i ≀ x holds for each i (1 ≀ i ...
instruction
0
19,656
12
39,312
No
output
1
19,656
12
39,313
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <image>. Expression <image> means applying the oper...
instruction
0
19,721
12
39,442
Tags: implementation, math Correct Solution: ``` n = int(input()) p = [i for i in range(n + 1)] k = 1 while(2 * k <= n): k *= 2 m = n + 1 while m > 0: while k >= m: k //= 2 for i in range(m - k): if k - i - 1 >= 0: p[k + i], p[k - i - 1] = p[k - i - 1], p[k + i] m = k - i - 1 print(n * (n + 1)) ...
output
1
19,721
12
39,443
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <image>. Expression <image> means applying the oper...
instruction
0
19,722
12
39,444
Tags: implementation, math Correct Solution: ``` import sys from math import gcd,sqrt,ceil from collections import defaultdict,Counter,deque from bisect import bisect_left,bisect_right import math from itertools import permutations # input=sys.stdin.readline # def print(x): # sys.stdout.write(str(x)+"\n") # sys.s...
output
1
19,722
12
39,445
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <image>. Expression <image> means applying the oper...
instruction
0
19,723
12
39,446
Tags: implementation, math Correct Solution: ``` n = int(input()) + 1 print(n * n - n) t = [] k = 1 << 20 while n: while k >> 1 >= n: k >>= 1 t = [(k - 1) ^ i for i in range(k - n, n)] + t n = k - n print(' '.join(map(str, t))) ```
output
1
19,723
12
39,447
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <image>. Expression <image> means applying the oper...
instruction
0
19,724
12
39,448
Tags: implementation, math Correct Solution: ``` s = n = int(input()) + 1 t, r = [], list(range(n))[::-1] k = 2 ** 20 while s: while k >= 2 * s: k //= 2 t = r[n - s: n + s - k] + t s = k - s print(n * n - n) print(' '.join(map(str, t))) ```
output
1
19,724
12
39,449
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <image>. Expression <image> means applying the oper...
instruction
0
19,725
12
39,450
Tags: implementation, math Correct Solution: ``` s = n = int(input()) + 1 t, r = [], list(range(n))[::-1] k = 2 ** 20 while s: while k >= 2 * s: k //= 2 t = r[n - s: n + s - k] + t s = k - s print(n*(n-1)) print(*t) ```
output
1
19,725
12
39,451
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <image>. Expression <image> means applying the oper...
instruction
0
19,726
12
39,452
Tags: implementation, math Correct Solution: ``` import math def ones(n): number_of_bits = (int)(math.floor(math.log(n) / math.log(2))) + 1; return [((1 << number_of_bits) - 1) ^ n,(1 << number_of_bits) - 1]; n = int(input()) has=[0]*(n+1) ans=[0]*(n+1) fin=0 for i in range...
output
1
19,726
12
39,453
Provide tags and a correct Python 3 solution for this coding contest problem. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <image>. Expression <image> means applying the oper...
instruction
0
19,727
12
39,454
Tags: implementation, math Correct Solution: ``` import math def solve(): n, = map(int, input().split()) top = 1 while top <= n: top *= 2 top -= 1 ans = [0] * (n + 1) i = n cur = n while i > 0: if top - i > cur: cur = i top = 1 while...
output
1
19,727
12
39,455
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <imag...
instruction
0
19,728
12
39,456
No
output
1
19,728
12
39,457
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little penguin Polo likes permutations. But most of all he likes permutations of integers from 0 to n, inclusive. For permutation p = p0, p1, ..., pn, Polo has defined its beauty β€” number <imag...
instruction
0
19,729
12
39,458
No
output
1
19,729
12
39,459
Provide tags and a correct Python 3 solution for this coding contest problem. Sonya was unable to think of a story for this problem, so here comes the formal description. You are given the array containing n positive integers. At one turn you can pick any element and increase or decrease it by 1. The goal is the make...
instruction
0
19,889
12
39,778
Tags: dp, sortings Correct Solution: ``` N=int(input()) s=list(map(int,input().split())) for i in range(N):s[i]-=i X=sorted(s) dp=[0]*N for i in s: mi = 7e77 for j in range(N): mi = min(mi, dp[j]) dp[j] = mi + abs(i-X[j]) print(min(dp)) ```
output
1
19,889
12
39,779
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,235
12
40,470
"Correct Solution: ``` import heapq pq = [] def insert(S,k): heapq.heappush(pq, - k) def extractMax(S): a = - heapq.heappop(S) print(str(a)) L = input() while L != "end": if L =="extract": extractMax(pq) else: L = L.split() insert(pq, int(L[1])) L = input() ```
output
1
20,235
12
40,471
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,236
12
40,472
"Correct Solution: ``` from heapq import heappush, heappop heap = [] while True: n = input().split() if n[0] == 'end': break elif n[0] == 'insert': heappush(heap, -int(n[1])) else: print(-heappop(heap)) ```
output
1
20,236
12
40,473
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,237
12
40,474
"Correct Solution: ``` from heapq import heapify, heappush, heappop pq = [] heapify([]) while True: S = input() if S == "end": break elif S == "extract": print(-1 * heappop(pq)) else: com, k = S.split() k = -1 * int(k) heappush(pq, k) ```
output
1
20,237
12
40,475
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,238
12
40,476
"Correct Solution: ``` import heapq S = [] while True: op = input() if op[:2] == "in": op, k = op.split() k = int(k)*(-1) heapq.heappush(S, k) elif op[:2] == "ex": print(heapq.heappop(S)*(-1)) else: break ```
output
1
20,238
12
40,477
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,239
12
40,478
"Correct Solution: ``` # -*- coding: utf-8 -*- from heapq import heappush, heappop A = [] inp = [None] while inp[0] != "end": inp = input().split() if inp[0] == "insert": heappush(A, -int(inp[1])) elif inp[0] == "extract": print(-heappop(A)) ```
output
1
20,239
12
40,479
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,240
12
40,480
"Correct Solution: ``` import heapq pq = [] while True: c = input().split() if c[0] == 'end': break if c[0] == 'extract': print(-heapq.heappop(pq)) else: heapq.heappush(pq, -int(c[1])) ```
output
1
20,240
12
40,481
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,241
12
40,482
"Correct Solution: ``` import sys from heapq import * H=[] O=[] for e in sys.stdin: if'end'==e:break if'i'==e[0]:heappush(H,-int(e[7:])) elif't'==e[2]:O+=[-heappop(H)] print('\n'.join(map(str,O))) ```
output
1
20,241
12
40,483
Provide a correct Python 3 solution for this coding contest problem. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k$ into the set $S$ * $extractMax(S)$: remove and return ...
instruction
0
20,242
12
40,484
"Correct Solution: ``` import sys from heapq import * H=[] for e in sys.stdin: if'i'==e[0]:heappush(H,-int(e[7:])) elif'x'==e[1]:print(-heappop(H)) ```
output
1
20,242
12
40,485
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,243
12
40,486
Yes
output
1
20,243
12
40,487
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,244
12
40,488
Yes
output
1
20,244
12
40,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,245
12
40,490
Yes
output
1
20,245
12
40,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,246
12
40,492
Yes
output
1
20,246
12
40,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,247
12
40,494
No
output
1
20,247
12
40,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,248
12
40,496
No
output
1
20,248
12
40,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,249
12
40,498
No
output
1
20,249
12
40,499
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A priority queue is a data structure which maintains a set $S$ of elements, each of with an associated value (key), and supports the following operations: * $insert(S, k)$: insert an element $k...
instruction
0
20,250
12
40,500
No
output
1
20,250
12
40,501
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,387
12
40,774
Tags: combinatorics, math Correct Solution: ``` # -*- coding: utf-8 -*- class FactMod(): def __init__(self, n, mod): self.mod = mod self.f = [1]*(n+1) for i in range(1, n+1): self.f[i] = self.f[i-1]*i % mod self.inv = [pow(self.f[-1], mod-2, mod)] for i in rang...
output
1
20,387
12
40,775
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,388
12
40,776
Tags: combinatorics, math Correct Solution: ``` import sys mod=998244353 fact=[1 for _ in range(200006)] for i in range(1,200005): fact[i]=(fact[i-1]*i)%mod def modinv(a,mod): return pow(a,mod-2,mod) n,m=map(int,sys.stdin.readline().split()) if n==2: print(0) else: ans=(fact[m]*modinv(fact[n-1],mod)*mod...
output
1
20,388
12
40,777
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,389
12
40,778
Tags: combinatorics, math Correct Solution: ``` import math def ncr(n, r, p): num = den = 1 for i in range(r): num = (num * (n - i)) % p den = (den * (i + 1)) % p return (num * pow(den, p - 2, p)) % p n,m=map(int,input().split()) p=998244353 ans=0 if(n==2) : ans=0 else : ans=((ncr(m,n-1,p)%p)...
output
1
20,389
12
40,779
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,390
12
40,780
Tags: combinatorics, math Correct Solution: ``` from sys import stdin,stdout # import math # import heapq # # t = 1 ...
output
1
20,390
12
40,781
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,391
12
40,782
Tags: combinatorics, math Correct Solution: ``` MOD = 998244353 fak = [] fak.append(1) for i in range(200005): fak.append(fak[-1] * (i + 1) % MOD) def brzo(x, y): if not y: return 1 if y % 2: return brzo(x, y - 1) * x % MOD k = brzo(x, y // 2) return k * k % MOD def inv(x): return brzo(x, MOD - 2) n, m...
output
1
20,391
12
40,783
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,392
12
40,784
Tags: combinatorics, math Correct Solution: ``` ''' @judge CodeForces @id 1312D @name Count the Arrays @tag Combinatorics, Congruence Modulus ''' from sys import stdin def ExtGCD(a, b): if a % b == 0: return (b, 0, 1) g, x, y = ExtGCD(b, a % b) return (g, y, x - (a // b) * y) def inv(a, m): _, _, y = ExtGC...
output
1
20,392
12
40,785
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,393
12
40,786
Tags: combinatorics, math Correct Solution: ``` import sys input = sys.stdin.readline #sys.setrecursionlimit(10**6) def I(): return input().strip() def II(): return int(input().strip()) def LI(): return [*map(int, input().strip().split())] import string, math, time, functools, random, fractions from heapq import heappu...
output
1
20,393
12
40,787
Provide tags and a correct Python 3 solution for this coding contest problem. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equal elements; * for each array a, there exists...
instruction
0
20,394
12
40,788
Tags: combinatorics, math Correct Solution: ``` n, m = map(int, input().split()) if n == 2: print(0) else: C, ans = 998244353, 0 fact, pow1 = [1], pow(2, n-3, C) for q in range(1, m+1): fact.append(fact[-1]*q % C) for q in range(n-1, m+1): ans += fact[q-1]*pow(fact[n-2], C-2, C)*pow(...
output
1
20,394
12
40,789
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equa...
instruction
0
20,395
12
40,790
Yes
output
1
20,395
12
40,791
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equa...
instruction
0
20,396
12
40,792
Yes
output
1
20,396
12
40,793
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equa...
instruction
0
20,397
12
40,794
Yes
output
1
20,397
12
40,795
Evaluate the correctness of the submitted Python 2 solution to the coding contest problem. Provide a "Yes" or "No" response. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equa...
instruction
0
20,399
12
40,798
Yes
output
1
20,399
12
40,799
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equa...
instruction
0
20,400
12
40,800
No
output
1
20,400
12
40,801
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equa...
instruction
0
20,401
12
40,802
No
output
1
20,401
12
40,803
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Your task is to calculate the number of arrays such that: * each array contains n elements; * each element is an integer from 1 to m; * for each array, there is exactly one pair of equa...
instruction
0
20,402
12
40,804
No
output
1
20,402
12
40,805