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Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer n. Find a sequence of fractions (a_i)/(b_i), i = 1 … k (where a_i and b_i are positive integers) for some k such that: $$$ \begin{cases} $b_i$ divides $n$, $1 < b_i < n$ for $i = 1 … k$ \\\ $1 ≤ a_i < b_i$ ...
instruction
0
84,260
22
168,520
Tags: math Correct Solution: ``` from math import sqrt def phi(u): ans = u for i in range(2, int(sqrt(n)) + 1): if u % i == 0: while u % i == 0: u = u / i ans = ans - int(ans / i) if n > 1: ans = ans - int(ans / n) return ans def binpow(u, a, mod): ans = 1 if a == 0: return 1; while a > 0: if...
output
1
84,260
22
168,521
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer n. Find a sequence of fractions (a_i)/(b_i), i = 1 … k (where a_i and b_i are positive integers) for some k such that: $$$ \begin{cases} $b_i$ divides $n$, $1 < b_i < n$ for $i = 1 … k$ \\\ $1 ≤ a_i < b_i$ ...
instruction
0
84,261
22
168,522
Tags: math Correct Solution: ``` # ========== //\\ //|| ||====//|| # || // \\ || || // || # || //====\\ || || // || # || // \\ || || // || # ========== // \\ ======== ||//====|| # code def egcd(a, b): if a ==...
output
1
84,261
22
168,523
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer n. Find a sequence of fractions (a_i)/(b_i), i = 1 … k (where a_i and b_i are positive integers) for some k such that: $$$ \begin{cases} $b_i$ divides $n$, $1 < b_i < n$ for $i = 1 … k$ \\\ $1 ≤ a_i < b_i$ ...
instruction
0
84,262
22
168,524
Tags: math Correct Solution: ``` from math import sqrt from itertools import count, islice from fractions import Fraction def isPrime(n): return n > 1 and all(n % i for i in islice(count(2), int(sqrt(n) - 1))) def factors(n: int): _factors = [] for i in range(2, int(sqrt(n)) + 1): times = 0 ...
output
1
84,262
22
168,525
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer n. Find a sequence of fractions (a_i)/(b_i), i = 1 … k (where a_i and b_i are positive integers) for some k such that: $$$ \begin{cases} $b_i$ divides $n$, $1 < b_i < n$ for $i = 1 … k$ \\\ $1 ≤ a_i < b_i$ ...
instruction
0
84,263
22
168,526
Tags: math Correct Solution: ``` from math import gcd def check(e,f,n): i=1 while i*e<=n: if (n-(i*e))%f==0: return ((n-(i*e))//f) i+=1 def prime(x): b=[] i=2 while i*i<=x: if x%i==0: if x//i==i: b.append(i) else: ...
output
1
84,263
22
168,527
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a positive integer n. Find a sequence of fractions (a_i)/(b_i), i = 1 … k (where a_i and b_i are positive integers) for some k such that: $$$ \begin{cases} $b_i$ divides $n$, $1 < b_i < n$ for $i = 1 … k$ \\\ $1 ≤ a_i < b_i$ ...
instruction
0
84,264
22
168,528
Tags: math Correct Solution: ``` import math # method to print the divisors def ps(n) : a=[] # Note that this loop runs till square root i = 1 while i <= math.sqrt(n): if (n % i == 0) : # If divisors are equal, print only one if (n / i...
output
1
84,264
22
168,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a positive integer n. Find a sequence of fractions (a_i)/(b_i), i = 1 … k (where a_i and b_i are positive integers) for some k such that: $$$ \begin{cases} $b_i$ divides $n$, $1 ...
instruction
0
84,265
22
168,530
No
output
1
84,265
22
168,531
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,718
22
169,436
Tags: implementation, math, number theory Correct Solution: ``` read=lambda : map(int,input().split()) n,k,m=read() a=list(read()) r=[[] for _ in range(m)] p=-1 for d in a: t=d%m r[t].append(d) if len(r[t])>=k: p=t break if p<0: print('No') else: print('Yes') print(' '.join(map(s...
output
1
84,718
22
169,437
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,719
22
169,438
Tags: implementation, math, number theory Correct Solution: ``` n,k,m=map(int,input().split()) a=list(map(int,input().split())) mods=[0]*m mod=0 for i in range(n): mod=a[i]%m mods[mod]+=1 if mods[mod]==k: break else: print('No') exit() print('Yes') results=[None]*k count=0 for i in range(n): cur=a[i] if cur%m...
output
1
84,719
22
169,439
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,720
22
169,440
Tags: implementation, math, number theory Correct Solution: ``` import sys import math import itertools import collections def ii(): return int(input()) def mi(): return map(int, input().split()) def li(): return list(map(int, input().split())) def lcm(a, b): return abs(a * b) // math.gcd(a, b) def wr(arr): return ' ...
output
1
84,720
22
169,441
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,721
22
169,442
Tags: implementation, math, number theory Correct Solution: ``` inp = list(map(int,input().split(' '))) n, k, m = inp[0], inp[1], inp[2] nums = [[] for i in range(m)] for input in list(map(int,input().split(' '))): nums[input%m].append(input) done=False for j in nums: if len(j) >= k: done=True p...
output
1
84,721
22
169,443
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,722
22
169,444
Tags: implementation, math, number theory Correct Solution: ``` n,k,m=map(int,input().split()) a=input().split() b=[[]for i in range(0,m)] for i in range(0,n): c=int(a[i]) b[c%m].append(c) if len(b[c%m])==k: print('Yes') print(' '.join(map(str,b[c%m]))) exit() print('No') ...
output
1
84,722
22
169,445
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,723
22
169,446
Tags: implementation, math, number theory Correct Solution: ``` n,k,m = map(int,input().split()) A = input().split() B = [[] for x in range(0,m)] for i in range(0,len(A)): x = int(A[i]) B[x%m].append(x) if len(B[x%m])==k: print("Yes") print(" ".join(map(str, B[x%m]))) exit() print("...
output
1
84,723
22
169,447
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,724
22
169,448
Tags: implementation, math, number theory Correct Solution: ``` import math import re def ria(): return [int(i) for i in input().split()] def ri(): return int(input()) def rfa(): return [float(i) for i in input().split()] n, k, m = ria() mp = {} ar = ria() mx = 0 for i in ar: if i % m not in mp:...
output
1
84,724
22
169,449
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers can be repeated in the original multiset and in ...
instruction
0
84,725
22
169,450
Tags: implementation, math, number theory Correct Solution: ``` from collections import defaultdict def divisibility(nums,k,m): remainder = defaultdict(list) for num in nums: r = num%m remainder[r].append(num) for keys,values in remainder.items(): if len(values)>=k: return values return None if __name__==...
output
1
84,725
22
169,451
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,726
22
169,452
Yes
output
1
84,726
22
169,453
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,727
22
169,454
Yes
output
1
84,727
22
169,455
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,728
22
169,456
Yes
output
1
84,728
22
169,457
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,729
22
169,458
Yes
output
1
84,729
22
169,459
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,730
22
169,460
No
output
1
84,730
22
169,461
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,731
22
169,462
No
output
1
84,731
22
169,463
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,732
22
169,464
No
output
1
84,732
22
169,465
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a multiset of n integers. You should select exactly k of them in a such way that the difference between any two of them is divisible by m, or tell that it is impossible. Numbers c...
instruction
0
84,733
22
169,466
No
output
1
84,733
22
169,467
Provide a correct Python 3 solution for this coding contest problem. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any two distinct elements in X is A or greater. * The absolute...
instruction
0
84,910
22
169,820
"Correct Solution: ``` import sys from bisect import bisect class BinaryIndexedTree: def __init__(self, n, MOD): self.size = n + 1 self.tree = [0] * (n + 2) self.MOD = MOD def sum(self, i): i += 1 s = 0 while i > 0: s = (s + self.tree[i]) % self.MO...
output
1
84,910
22
169,821
Provide a correct Python 3 solution for this coding contest problem. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any two distinct elements in X is A or greater. * The absolute...
instruction
0
84,911
22
169,822
"Correct Solution: ``` import sys input = sys.stdin.readline from bisect import bisect_left, bisect_right INF = 10**18 + 100 N,A,B = map(int,input().split()) S = [-INF] + [int(x) for x in sys.stdin.read().split()] MOD = 10**9 + 7 dpX = [0] * (N+1) # 最後にYを選んだとして、直前に選んだXがどこにあるか dpY = [0] * (N+1) # 最後にXを選んだとして、直前に選んだY...
output
1
84,911
22
169,823
Provide a correct Python 3 solution for this coding contest problem. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any two distinct elements in X is A or greater. * The absolute...
instruction
0
84,912
22
169,824
"Correct Solution: ``` mod=10**9+7 import bisect,sys input=sys.stdin.readline N,A,B=map(int,input().split()) S=[int(input()) for i in range(N)] datax=[i for i in range(N+1)] datay=[i for i in range(N+1)] for i in range(2,N+1): if S[i-1]-S[i-2]>=A: datax[i]=datax[i-1] if S[i-1]-S[i-2]>=B: da...
output
1
84,912
22
169,825
Provide a correct Python 3 solution for this coding contest problem. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any two distinct elements in X is A or greater. * The absolute...
instruction
0
84,913
22
169,826
"Correct Solution: ``` """ https://atcoder.jp/contests/agc009/tasks/agc009_c A <= B としてよい dpだろうなぁ dpA[i][X] = 1つ前を置いたのがBで、Aに置かれた最大がindexXの時の置き方 dpB[i][X] = 同様 if S[i]-S[i-1] >= B: dpA[i][X] = dpA[i-1][X] if X == i-1: dpA[i][X] = /// 推移は、BITですればおk もし差がB以下ならば→直前にBを置いていた場所に重ねおきはできない →直前にAに置いていて、なおか...
output
1
84,913
22
169,827
Provide a correct Python 3 solution for this coding contest problem. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any two distinct elements in X is A or greater. * The absolute...
instruction
0
84,914
22
169,828
"Correct Solution: ``` import sys readline = sys.stdin.readline class Lazysegtree: #RUQ def __init__(self, A, intv, initialize = True, segf = min): #区間は 1-indexed で管理 self.N = len(A) self.N0 = 2**(self.N-1).bit_length() self.intv = intv self.segf = segf self.lazy...
output
1
84,914
22
169,829
Provide a correct Python 3 solution for this coding contest problem. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any two distinct elements in X is A or greater. * The absolute...
instruction
0
84,915
22
169,830
"Correct Solution: ``` from bisect import bisect_left N,A,B=map(int,input().split()) inf,mod=float("inf"),10**9+7 S=[int(input()) for i in range(N)] St_A=[0]*N St_B=[0]*N J_A,J_B=[0],[0] for i in range(N): St_A[i]=bisect_left(S,S[i]+A)-1 St_B[i]=bisect_left(S,S[i]+B)-1 J_A.append(J_A[-1]+int(St_A[i]!=i)) J_B.ap...
output
1
84,915
22
169,831
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any tw...
instruction
0
84,918
22
169,836
No
output
1
84,918
22
169,837
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a set consisting of N distinct integers. The i-th smallest element in this set is S_i. We want to divide this set into two sets, X and Y, such that: * The absolute difference of any tw...
instruction
0
84,919
22
169,838
No
output
1
84,919
22
169,839
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,353
22
170,706
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` n, m = list(map(int, input().split())) def intmodm(num): return int(num) % m a = list(map(intmodm, input().split())) states = [[-1] * m] # states[0][0] = 0 for index in range(n): states.append(states[-1][:]) num = a[index] for i in ran...
output
1
85,353
22
170,707
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,354
22
170,708
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` import os import sys from io import BytesIO, IOBase from collections import Counter import math as mt import inspect, re def varname(p): # prints name of the variable for line in inspect.getframeinfo(inspect.currentframe().f_back)[3]: ...
output
1
85,354
22
170,709
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,355
22
170,710
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` numElementos, modulo = input().split() numElementos = int(numElementos) modulo = int(modulo) modulos = [] for i in range(modulo): modulos.append(False) restantePossivel = [] for i in range(modulo + 1): restantePossivel.append(modulos.co...
output
1
85,355
22
170,711
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,356
22
170,712
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` def modulus(arr, m, n): for i in range(n): arr[i] %= m f = [0] * m s = [0] * m f[arr[0]] = 1 if f[0]: return 1 for i in arr[1:]: for j in range(m): if f[j]: s[j] = 1 ...
output
1
85,356
22
170,713
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,357
22
170,714
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` num_elementos, modulo = [ int(x) for x in input().split() ] modulos = [False] * modulo restante_possivel = [ modulos.copy() for _ in range(modulo + 1) ] ultimo_elemento = min(num_elementos, modulo) elementos = input().split() for i in ran...
output
1
85,357
22
170,715
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,358
22
170,716
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` __author__ = 'dwliv_000' (n,m)=(int(i) for i in input().split()) c=[int(i)%m for i in input().split()] z=[False]*m for j in c: q=z[:] q[j]=True for i in range(m): if(z[i]): q[(i+j)%m]=True z=q[:] if z[0...
output
1
85,358
22
170,717
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,359
22
170,718
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` def main(): n, m = map(int, input().split()) l = [False] * m l1 = l.copy() for i in map(int, input().split()): i %= m l1[i] = True for j, f in enumerate(l, i - m): if f: l1[j]...
output
1
85,359
22
170,719
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible by m. Input The first line contains two numbe...
instruction
0
85,360
22
170,720
Tags: combinatorics, data structures, dp, two pointers Correct Solution: ``` (n,m)=map(int,input().split()) if n>m:print("YES") else: t=[0 for i in range(m)] s=input().split() for i in range(len(s)): h=int(s[i])%m v=[0 for i in range(m)] for j in range(m): if t[j]==1:v[(h+j)%m]=1 for j in range(m): if ...
output
1
85,360
22
170,721
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible ...
instruction
0
85,363
22
170,726
Yes
output
1
85,363
22
170,727
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible ...
instruction
0
85,365
22
170,730
No
output
1
85,365
22
170,731
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a sequence of numbers a1, a2, ..., an, and a number m. Check if it is possible to choose a non-empty subsequence aij such that the sum of numbers in this subsequence is divisible ...
instruction
0
85,367
22
170,734
No
output
1
85,367
22
170,735
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Arpa has found a list containing n numbers. He calls a list bad if and only if it is not empty and gcd (see notes section for more information) of numbers in the list is 1. Arpa can perform two...
instruction
0
85,441
22
170,882
No
output
1
85,441
22
170,883
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Arpa has found a list containing n numbers. He calls a list bad if and only if it is not empty and gcd (see notes section for more information) of numbers in the list is 1. Arpa can perform two...
instruction
0
85,442
22
170,884
No
output
1
85,442
22
170,885
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Arpa has found a list containing n numbers. He calls a list bad if and only if it is not empty and gcd (see notes section for more information) of numbers in the list is 1. Arpa can perform two...
instruction
0
85,443
22
170,886
No
output
1
85,443
22
170,887
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Arpa has found a list containing n numbers. He calls a list bad if and only if it is not empty and gcd (see notes section for more information) of numbers in the list is 1. Arpa can perform two...
instruction
0
85,444
22
170,888
No
output
1
85,444
22
170,889
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob begin their day with a quick game. They first choose a starting number X0 ≥ 3 and try to reach one million by the process described below. Alice goes first and then they take alternating turns. In the i-th turn, the player wh...
instruction
0
85,477
22
170,954
Tags: math, number theory Correct Solution: ``` from math import sqrt import sys # from io import StringIO # # sys.stdin = StringIO(open(__file__.replace('.py', '.in')).read()) def largest_prime_factor(n): for i in range(2, int(sqrt(n) + 1)): if n % i == 0: return largest_prime_factor(n // i)...
output
1
85,477
22
170,955
Provide tags and a correct Python 3 solution for this coding contest problem. Alice and Bob begin their day with a quick game. They first choose a starting number X0 ≥ 3 and try to reach one million by the process described below. Alice goes first and then they take alternating turns. In the i-th turn, the player wh...
instruction
0
85,478
22
170,956
Tags: math, number theory Correct Solution: ``` # -*- coding: utf - 8 -*- """"""""""""""""""""""""""""""""""""""""""""" | author: mr.math - Hakimov Rahimjon | | e-mail: mr.math0777@gmail.com | | created: 10.03.2018 20:50 | """"""""""""""""""""""""""""""""""""""""""""" # inp = open("in...
output
1
85,478
22
170,957
Provide tags and a correct Python 3 solution for this coding contest problem. You are given q queries in the following form: Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i]. Can you answer all the queries? Rec...
instruction
0
85,741
22
171,482
Tags: math Correct Solution: ``` n = int(input()) for i in range(n): a = list(map(int,input().split(" "))) if a[1] >= a[2] >= a[0] or a[0] >= a[2] >= a[1]: if a[1] > a[0]: a[0],a[1] = a[1], a[0] print(a[0]//a[2]*a[2]+a[2]) else: print(a[2]) ```
output
1
85,741
22
171,483
Provide tags and a correct Python 3 solution for this coding contest problem. You are given q queries in the following form: Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i]. Can you answer all the queries? Rec...
instruction
0
85,742
22
171,484
Tags: math Correct Solution: ``` def f(l, r, d): if d>r: return d for i in range(d,l,d): if i%d ==0: return i return (int(r/d)+1)*d n = int(input()) for i in range(n): row = input().split(' ') l = int(row[0]) r = int(row[1]) d = int(row[2]) print(str(int(f(...
output
1
85,742
22
171,485
Provide tags and a correct Python 3 solution for this coding contest problem. You are given q queries in the following form: Given three integers l_i, r_i and d_i, find minimum positive integer x_i such that it is divisible by d_i and it does not belong to the segment [l_i, r_i]. Can you answer all the queries? Rec...
instruction
0
85,743
22
171,486
Tags: math Correct Solution: ``` test_cases = int(input()) for i in range(test_cases) : left, right, divisor = map(int, input().split(" ")) if divisor < left : print(divisor) else : print(divisor * ((right // divisor) + 1)) ```
output
1
85,743
22
171,487