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Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
105,634
22
211,268
Tags: math Correct Solution: ``` a, b = (int(x) for x in input().split()) ans = b*(b-1)*a//2 + b*(b-1)*b*(1 + a)*a//4 print(ans % 1000000007) ```
output
1
105,634
22
211,269
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
105,635
22
211,270
Tags: math Correct Solution: ``` #input a,b=map(int,input().split()) #variables nicesum=(b*(b-1)//2)*(a*(a+1)//2)*b+(b*(b-1)//2)*a #main print(int(nicesum%1000000007)) ```
output
1
105,635
22
211,271
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
105,636
22
211,272
Tags: math Correct Solution: ``` a, b = map(int, input().split()) print((b * (a * (a + 1) // 2) * (b * (b - 1) // 2 ) + a * b * (b - 1) // 2) % 1000000007) ```
output
1
105,636
22
211,273
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
105,637
22
211,274
Tags: math Correct Solution: ``` a,b = map(int, input().split()) sum = 0 mod = 1000000007 def c(i): mi = i * b + i ma = i * b * a + i return ((mi+ma) * a)//2 sum = (((c(1) + c(b-1))*(b-1))//2)%mod print(sum) ```
output
1
105,637
22
211,275
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
105,638
22
211,276
Tags: math Correct Solution: ``` a = input() a = a.split() a,b = int(a[0]),int(a[1]) k2 = b*(b-1)*a // 2 k = (b-1)*b//2 * b* (1+a)*a // 2 res = (k + k2) % 1000000007 print(res) ```
output
1
105,638
22
211,277
Provide tags and a correct Python 3 solution for this coding contest problem. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if <image> and <image>, where k is some integer nu...
instruction
0
105,639
22
211,278
Tags: math Correct Solution: ``` a, b = map(int, input().split()) r1 = (b - 1) * b // 2 r2 = (a * b + 1 + b + 1) * a // 2 print((r1 * r2) % 1000000007) ```
output
1
105,639
22
211,279
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,640
22
211,280
Yes
output
1
105,640
22
211,281
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,641
22
211,282
Yes
output
1
105,641
22
211,283
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,642
22
211,284
Yes
output
1
105,642
22
211,285
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,643
22
211,286
Yes
output
1
105,643
22
211,287
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,644
22
211,288
No
output
1
105,644
22
211,289
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,645
22
211,290
No
output
1
105,645
22
211,291
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,646
22
211,292
No
output
1
105,646
22
211,293
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Dreamoon loves summing up something for no reason. One day he obtains two integers a and b occasionally. He wants to calculate the sum of all nice integers. Positive integer x is called nice if ...
instruction
0
105,647
22
211,294
No
output
1
105,647
22
211,295
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number. Petya can ask questions like: "Is the unknown number divisible by number y?". The game is played by the following ru...
instruction
0
105,689
22
211,378
Tags: math, number theory Correct Solution: ``` def SieveOfEratosthenes(n): primes = [] prime = [True for i in range(n+1)] p = 2 while (p * p <= n): if (prime[p] == True): for i in range(p * p, n+1, p): prime[i] = False p += 1 for p in range(2, n+1): ...
output
1
105,689
22
211,379
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number. Petya can ask questions like: "Is the unknown number divisible by number y?". The game is played by the following ru...
instruction
0
105,690
22
211,380
Tags: math, number theory Correct Solution: ``` n = int(input()) primes = [] is_prime = (n + 1) * [ True ] is_prime[0] = is_prime[1] = False pos = 0 while True: while pos <= n and not is_prime[pos]: pos += 1 if pos > n: break for i in range(2 * pos, n + 1, pos): is_prime[i] = False primes.append(po...
output
1
105,690
22
211,381
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number. Petya can ask questions like: "Is the unknown number divisible by number y?". The game is played by the following ru...
instruction
0
105,692
22
211,384
Tags: math, number theory Correct Solution: ``` def gen_prime(): num = [0 for i in range(10**3+1)] num[2] = 1 num[3] = 1 for i in range(4, 10**3+1): isprime = True for j in range(2, int(i**0.5)+1): if num[j]: if not i%j: isprime = False break if isprime: num[i] = 1 prime = [] for i in ...
output
1
105,692
22
211,385
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number. Petya can ask questions like: "Is the unknown number divisible by number y?". The game is played by the following ru...
instruction
0
105,693
22
211,386
Tags: math, number theory Correct Solution: ``` def gen_prime(): num = [0 for i in range(10**3+1)] num[2] = 1 num[3] = 1 for i in range(4, 10**3+1): isprime = True for j in range(2, int(i**0.5)+1): if num[j]: if not i%j: isprime = False break if isprime: num[i] = 1 prime = [] for i in r...
output
1
105,693
22
211,387
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number. Petya can ask questions like: "Is the unknown number divisible by number y?". The game is played by the following ru...
instruction
0
105,695
22
211,390
Tags: math, number theory Correct Solution: ``` def is_prime(n): for i in range(2, n): if ((n % i) == 0): return 0 break return 1 n = int(input()) if (n == 1): print(0) else: q = [] for i in range(2, n + 1): if (is_prime(i)): q.append(i) ...
output
1
105,695
22
211,391
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number. Petya can ask questions like: "Is the unknown number divisible by numb...
instruction
0
105,697
22
211,394
Yes
output
1
105,697
22
211,395
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number. Petya can ask questions like: "Is the unknown number divisible by numb...
instruction
0
105,703
22
211,406
No
output
1
105,703
22
211,407
Provide a correct Python 3 solution for this coding contest problem. The sequence of n - 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, (24, 25, 26, 27, 28) between 23 and 2...
instruction
0
106,053
22
212,106
"Correct Solution: ``` #!/usr/bin/env python # -*- coding: utf-8 -*- import math def sieve_of_erastosthenes(num): input_list = [False if i % 2 == 0 or i % 3 == 0 or i % 5 == 0 else True for i in range(num)] input_list[0] = input_list[1] = False input_list[2] = input_list[3] = input_list[5] = True sqrt...
output
1
106,053
22
212,107
Provide a correct Python 3 solution for this coding contest problem. The sequence of n - 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, (24, 25, 26, 27, 28) between 23 and 2...
instruction
0
106,054
22
212,108
"Correct Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 998244353 def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.rea...
output
1
106,054
22
212,109
Provide a correct Python 3 solution for this coding contest problem. The sequence of n - 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, (24, 25, 26, 27, 28) between 23 and 2...
instruction
0
106,055
22
212,110
"Correct Solution: ``` def make_prime_table(n): """n以下の非負整数が素数であるかを判定したリストを出力する 計算量: O(NloglogN) 入出力例: 6 -> [False, False, True, True, False, True, False] """ is_prime = [True] * (n + 1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n ** 0.5) + 1): if not is_prime...
output
1
106,055
22
212,111
Provide a correct Python 3 solution for this coding contest problem. The sequence of n - 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, (24, 25, 26, 27, 28) between 23 and 2...
instruction
0
106,056
22
212,112
"Correct Solution: ``` primes = [0, 0] + 1299709*[1] for i in range(2, 1141): if primes[i]: for j in range(i*i, 1299710, i): primes[j] = 0 while True: n = int(input()) if n == 0: break if primes[n]: print(0) continue a = b = n while not primes[a]: ...
output
1
106,056
22
212,113
Provide a correct Python 3 solution for this coding contest problem. The sequence of n - 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, (24, 25, 26, 27, 28) between 23 and 2...
instruction
0
106,057
22
212,114
"Correct Solution: ``` def sieve(): L = 1299710 primes = [] isPrime = [ True for _ in range(L) ] for i in range(2, L): if isPrime[i]: primes.append(i) for j in range(i * i, L, i): isPrime[j] = False return primes def getPrimeGap(num, primes): if n...
output
1
106,057
22
212,115
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The sequence of n - 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of leng...
instruction
0
106,058
22
212,116
No
output
1
106,058
22
212,117
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The sequence of n - 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of leng...
instruction
0
106,059
22
212,118
No
output
1
106,059
22
212,119
Provide tags and a correct Python 3 solution for this coding contest problem. You are given integer n. You have to arrange numbers from 1 to 2n, using each of them exactly once, on the circle, so that the following condition would be satisfied: For every n consecutive numbers on the circle write their sum on the blac...
instruction
0
106,211
22
212,422
Tags: constructive algorithms, greedy, math Correct Solution: ``` def divisors(M): d=[] i=1 while M>=i**2: if M%i==0: d.append(i) if i**2!=M: d.append(M//i) i=i+1 return d def popcount(x): x = x - ((x >> 1) & 0x55555555) x = (x & 0x333333...
output
1
106,211
22
212,423
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,540
22
213,080
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` class DisjointSet: def __init__(self, n): self._fa = list(range(n)) def union(self, x, y): x = self.get_father(x) y = self.get_father(y) self._fa[x] = y return y def get_father(self, x)...
output
1
106,540
22
213,081
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,541
22
213,082
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` import sys import queue sys.setrecursionlimit(100000) # global constant INF = int(1e7+1) MAX = 100005 # For testing #sys.stdin = open("INP.txt", 'r') #sys.stdout = open("OUT.txt", 'w') # global variables parents = [] ranks = [] size = [...
output
1
106,541
22
213,083
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,542
22
213,084
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` def process(X, a, b): X1 = set(X) Other = set([]) A = set([]) B = set([]) Both = set([]) for x in X: if a-x in X1 and b-x not in X1: A.add(x) A.add(a-x) elif a-x not in X1 an...
output
1
106,542
22
213,085
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,543
22
213,086
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` # Problem from Codeforces # http://codeforces.com/problemset/problem/468/B parent = [] ranks = [] def make_set(N): global parent, ranks parent = [i for i in range(N + 5)] ranks = [0 for i in range(N + 5)] def find_set(u):...
output
1
106,543
22
213,087
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,544
22
213,088
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` def findSet(u, parent): if parent[u] != u: parent[u] = findSet(parent[u], parent) return parent[u] def unionSet(u, v, parent): up = findSet(u, parent) vp = findSet(v, parent) parent[up] = vp if __name__ == '__...
output
1
106,544
22
213,089
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,545
22
213,090
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` def findSet(u): if parents[u] != u: parents[u] = findSet(parents[u]) return parents[u] def unionSet(u, v): up = findSet(u) vp = findSet(v) if up == vp: return if ranks[up] > ranks[vp]: parents[vp] = up elif r...
output
1
106,545
22
213,091
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,546
22
213,092
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` import sys from collections import defaultdict as dd input = sys.stdin.readline I = lambda : list(map(int,input().split())) n,a,b=I() l=I() dic=dd(int) for i in range(n): dic[l[i]]=1 bs=[] pa=dd(int) for i in range(n): if dic[a-l[i]]==0...
output
1
106,546
22
213,093
Provide tags and a correct Python 3 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,547
22
213,094
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` parent = [i for i in range(100002)] def findSet(u): if parent[u] != u: parent[u] = findSet(parent[u]) return parent[u] def unionSet(u, v): up = findSet(u) vp = findSet(v) parent[up] = vp if __name__ == '__main...
output
1
106,547
22
213,095
Provide tags and a correct Python 2 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,548
22
213,096
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` from sys import stdin, stdout from collections import Counter, defaultdict from itertools import permutations, combinations raw_input = stdin.readline pr = stdout.write def in_num(): return int(raw_input()) def in_arr(): return...
output
1
106,548
22
213,097
Provide tags and a correct Python 2 solution for this coding contest problem. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then number a - x must also belong to set A. * If ...
instruction
0
106,549
22
213,098
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy Correct Solution: ``` from sys import stdin, stdout from collections import Counter, defaultdict from itertools import permutations, combinations raw_input = stdin.readline pr = stdout.write def in_num(): return int(raw_input()) def in_arr(): return...
output
1
106,549
22
213,099
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,550
22
213,100
Yes
output
1
106,550
22
213,101
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,551
22
213,102
Yes
output
1
106,551
22
213,103
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,552
22
213,104
Yes
output
1
106,552
22
213,105
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,553
22
213,106
Yes
output
1
106,553
22
213,107
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,554
22
213,108
No
output
1
106,554
22
213,109
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,555
22
213,110
No
output
1
106,555
22
213,111
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,556
22
213,112
No
output
1
106,556
22
213,113
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied: * If number x belongs to set A, then n...
instruction
0
106,557
22
213,114
No
output
1
106,557
22
213,115
Provide tags and a correct Python 3 solution for this coding contest problem. For given n, l and r find the number of distinct geometrical progression, each of which contains n distinct integers not less than l and not greater than r. In other words, for each progression the following must hold: l ≤ ai ≤ r and ai ≠ aj...
instruction
0
107,491
22
214,982
Tags: brute force, math, number theory Correct Solution: ``` Primes = [2, 3, 5, 7] def check (a, b) : for pr in Primes : if a % pr == 0 and b % pr == 0 : return False while (b) : a %= b a ^= b b ^= a a ^= b return a == 1 n, l, r = map(int, input().split()) if n == 1 : ans = r - l + 1 elif n == 2 : a...
output
1
107,491
22
214,983
Provide tags and a correct Python 3 solution for this coding contest problem. For given n, l and r find the number of distinct geometrical progression, each of which contains n distinct integers not less than l and not greater than r. In other words, for each progression the following must hold: l ≤ ai ≤ r and ai ≠ aj...
instruction
0
107,492
22
214,984
Tags: brute force, math, number theory Correct Solution: ``` import math small=[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251...
output
1
107,492
22
214,985
Provide tags and a correct Python 3 solution for this coding contest problem. You are given positive integer number n. You should create such strictly increasing sequence of k positive numbers a1, a2, ..., ak, that their sum is equal to n and greatest common divisor is maximal. Greatest common divisor of sequence is ...
instruction
0
107,497
22
214,994
Tags: constructive algorithms, greedy, math Correct Solution: ``` from math import sqrt n,k = map(int,input().split()) d = 10000000000000 if n < k*(k+1)//2: print(-1) else: for i in range(1,int(sqrt(n))+1): if n%i==0: if i >= k*(k+1)//2: d = i break ...
output
1
107,497
22
214,995