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Provide tags and a correct Python 3 solution for this coding contest problem. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int...
instruction
0
55,635
22
111,270
Tags: math Correct Solution: ``` n, k = map(int, input().split()) r = k - 1 while n % r != 0: r -= 1 m = n // r x = k * m + r print(x) ```
output
1
55,635
22
111,271
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int...
instruction
0
55,636
22
111,272
Tags: math Correct Solution: ``` n,k = [int(i) for i in input().split()] ost = k - 1 while n % ost != 0: ost -= 1 x = n//ost * k + ost print(x) ```
output
1
55,636
22
111,273
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int...
instruction
0
55,637
22
111,274
Tags: math Correct Solution: ``` a, b = list(map(int, input().split())) ans = 100000000000 if a == 0: print(0) else: for i in range(1, b): if a % i == 0: ans = min(a // i * b + i, ans) print(ans) ```
output
1
55,637
22
111,275
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definition). In this equation, k and n are positive int...
instruction
0
55,638
22
111,276
Tags: math Correct Solution: ``` import math a = input().split() n, k = int(a[0]), int(a[1]) res = [] if n == 1: print(k + 1) else: for i in range(1, math.ceil(math.sqrt(int(n))) + 1): if n % i==0: if ((i + k * n/i) // k ) * ((i + k * n/i) % k) == n: res.append(i + k * n/i) ...
output
1
55,638
22
111,277
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,639
22
111,278
Yes
output
1
55,639
22
111,279
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,640
22
111,280
Yes
output
1
55,640
22
111,281
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,641
22
111,282
Yes
output
1
55,641
22
111,283
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,642
22
111,284
Yes
output
1
55,642
22
111,285
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,643
22
111,286
No
output
1
55,643
22
111,287
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,644
22
111,288
No
output
1
55,644
22
111,289
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,645
22
111,290
No
output
1
55,645
22
111,291
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya likes to solve equations. Today he wants to solve (x~div~k) β‹… (x mod k) = n, where div and mod stand for integer division and modulo operations (refer to the Notes below for exact definiti...
instruction
0
55,646
22
111,292
No
output
1
55,646
22
111,293
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,732
22
111,464
Tags: constructive algorithms, math, ternary search Correct Solution: ``` n,m,p=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) i=j=0 while(a[i]%p==0): i+=1 while(b[j]%p==0): j+=1 print(i+j) ```
output
1
55,732
22
111,465
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,733
22
111,466
Tags: constructive algorithms, math, ternary search Correct Solution: ``` import sys input = sys.stdin.readline def main(): N, M, P = [int(x) for x in input().split()] A = [int(x) for x in input().split()] B = [int(x) for x in input().split()] ans = 0 for i, a in enumerate(A): if a % P !...
output
1
55,733
22
111,467
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,734
22
111,468
Tags: constructive algorithms, math, ternary search Correct Solution: ``` from sys import stdin, stdout import math,sys from itertools import permutations, combinations from collections import defaultdict,deque,OrderedDict import bisect as bi import heapq ''' #------------------PYPY FAst I/o---------------------------...
output
1
55,734
22
111,469
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,735
22
111,470
Tags: constructive algorithms, math, ternary search Correct Solution: ``` import sys input = lambda: sys.stdin.readline().rstrip() N, M, P = map(int, input().split()) A = [int(a) for a in input().split()] B = [int(a) for a in input().split()] for i, a in enumerate(A): if a % P: for j, b in enumerate(B): ...
output
1
55,735
22
111,471
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,736
22
111,472
Tags: constructive algorithms, math, ternary search Correct Solution: ``` from sys import stdin input = stdin.buffer.readline n, m, p = map(int, input().split()) a = list(map(int, input().split())) b = list(map(int, input().split())) x, y = (0, 0) while (a[x] % p) == 0: x += 1 while (b[y] % p) == 0: y += 1 print((x ...
output
1
55,736
22
111,473
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,737
22
111,474
Tags: constructive algorithms, math, ternary search Correct Solution: ``` # ---------------------------iye ha aam zindegi--------------------------------------------- import math import random import heapq, bisect import sys from collections import deque, defaultdict from fractions import Fraction import sys import thr...
output
1
55,737
22
111,475
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,738
22
111,476
Tags: constructive algorithms, math, ternary search Correct Solution: ``` n, m, p = map(int, input().split()) arr_1 = list(map(int, input().split())) arr_2 = list(map(int, input().split())) for i in range(n): if arr_1[i] % p != 0: d1 = i break for j in range(m): if arr_2[j] % p != 0: d2 ...
output
1
55,738
22
111,477
Provide tags and a correct Python 3 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,739
22
111,478
Tags: constructive algorithms, math, ternary search Correct Solution: ``` R = lambda: list(map(int,input().split())) n,m,p=R() a,b=R(),R() i=0 while a[i]%p==0: i+=1 j=0 while b[j]%p==0: j+=1 print(i+j) ```
output
1
55,739
22
111,479
Provide tags and a correct Python 2 solution for this coding contest problem. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart into solving it one last time. You are given ...
instruction
0
55,740
22
111,480
Tags: constructive algorithms, math, ternary search 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 map(in...
output
1
55,740
22
111,481
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,741
22
111,482
Yes
output
1
55,741
22
111,483
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,742
22
111,484
Yes
output
1
55,742
22
111,485
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,743
22
111,486
Yes
output
1
55,743
22
111,487
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,744
22
111,488
Yes
output
1
55,744
22
111,489
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,745
22
111,490
No
output
1
55,745
22
111,491
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,746
22
111,492
No
output
1
55,746
22
111,493
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,747
22
111,494
No
output
1
55,747
22
111,495
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. It is Professor R's last class of his teaching career. Every time Professor R taught a class, he gave a special problem for the students to solve. You being his favourite student, put your heart...
instruction
0
55,748
22
111,496
No
output
1
55,748
22
111,497
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,291
22
112,582
"Correct Solution: ``` N = int(input()) bi_N = bin(N) tmp = len(bi_N)-3 print(2**tmp) ```
output
1
56,291
22
112,583
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,292
22
112,584
"Correct Solution: ``` from math import log2 print(2**int(log2(int(input())))) ```
output
1
56,292
22
112,585
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,293
22
112,586
"Correct Solution: ``` import math print(2**math.floor(math.log2(int(input())))) ```
output
1
56,293
22
112,587
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,294
22
112,588
"Correct Solution: ``` N=int(input()) i=0 while pow(2, i+1)<=N: i+=1 print(pow(2, i)) ```
output
1
56,294
22
112,589
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,295
22
112,590
"Correct Solution: ``` N=int(input()) n=0 while N>=2**n: n+=1 print(2**(n-1)) ```
output
1
56,295
22
112,591
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,296
22
112,592
"Correct Solution: ``` n = int(input()) i = 1 while i<=n: i = i*2 print(int(i/2)) ```
output
1
56,296
22
112,593
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,297
22
112,594
"Correct Solution: ``` n = int(input()) p = 1 while p*2<=n: p = p*2 print(p) ```
output
1
56,297
22
112,595
Provide a correct Python 3 solution for this coding contest problem. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times. The solution is always unique. Here, the number of tim...
instruction
0
56,298
22
112,596
"Correct Solution: ``` n = int(input()) import math i = int(math.log2(n)) print(2**i) ```
output
1
56,298
22
112,597
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,299
22
112,598
Yes
output
1
56,299
22
112,599
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,300
22
112,600
Yes
output
1
56,300
22
112,601
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,301
22
112,602
Yes
output
1
56,301
22
112,603
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,302
22
112,604
Yes
output
1
56,302
22
112,605
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,303
22
112,606
No
output
1
56,303
22
112,607
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,304
22
112,608
No
output
1
56,304
22
112,609
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,305
22
112,610
No
output
1
56,305
22
112,611
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Takahashi loves numbers divisible by 2. You are given a positive integer N. Among the integers between 1 and N (inclusive), find the one that can be divisible by 2 for the most number of times....
instruction
0
56,306
22
112,612
No
output
1
56,306
22
112,613
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Of course, many of you can calculate Ο†(n) β€” the number of positive integers that are less than or equal to n, that are coprime with n. But what if we need to calculate Ο†(Ο†(...Ο†(n))), where funct...
instruction
0
56,687
22
113,374
No
output
1
56,687
22
113,375
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Of course, many of you can calculate Ο†(n) β€” the number of positive integers that are less than or equal to n, that are coprime with n. But what if we need to calculate Ο†(Ο†(...Ο†(n))), where funct...
instruction
0
56,688
22
113,376
No
output
1
56,688
22
113,377
Provide tags and a correct Python 3 solution for this coding contest problem. Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas of mathematics. For example, the equality of th...
instruction
0
56,727
22
113,454
Tags: combinatorics, dp, math Correct Solution: ``` mod = 10 ** 9 + 7 n = int(input()) a = [[0] * (n + 1) for i in range(n + 1)] a[0][0] = 1 for i in range(1, n + 1): a[i][0] = a[i - 1][i - 1] for j in range(1, i + 1): a[i][j] = (a[i][j - 1] + a[i - 1][j - 1]) % mod print(a[n][n - 1]) ```
output
1
56,727
22
113,455
Provide tags and a correct Python 3 solution for this coding contest problem. Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas of mathematics. For example, the equality of th...
instruction
0
56,728
22
113,456
Tags: combinatorics, dp, math Correct Solution: ``` from math import factorial cat = [1, 1] p = 10**9 + 7 n = int(input()) ans = 0 fac = [1] mat = [[0 for i in range(n + 1)] for j in range(n + 1)] mat[0][0] = 1 for i in range(1, n + 1): mat[i][0] = mat[i - 1][i - 1] for j in range(i): mat[i][j + 1] = ...
output
1
56,728
22
113,457
Provide tags and a correct Python 3 solution for this coding contest problem. Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas of mathematics. For example, the equality of th...
instruction
0
56,729
22
113,458
Tags: combinatorics, dp, math Correct Solution: ``` def main(): mod = 10 ** 9 + 7 n = int(input()) a = [[0] * (n + 1) for i in range(n + 1)] a[0][0] = 1 for i in range(1, n + 1): a[i][0] = a[i - 1][i - 1] for j in range(1, i + 1): a[i][j] = (a[i][j - 1] + a[i - 1][j - 1])...
output
1
56,729
22
113,459