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Provide tags and a correct Python 3 solution for this coding contest problem. Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. ...
instruction
0
36,571
22
73,142
Tags: *special, math, number theory Correct Solution: ``` s = input() m = int(input()) mn = m ttt = 0 t = 0 ttt = 1 for i in range(1,len(s)): ttt = (ttt * 10) % m for i in range(0,len(s)): t = (t * 10 + ord(s[i]) - ord('0')) % m for i in range(0,len(s)): if s[i] != '0': mn = min(mn,t) t = t - ((...
output
1
36,571
22
73,143
Provide tags and a correct Python 3 solution for this coding contest problem. Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. ...
instruction
0
36,572
22
73,144
Tags: *special, math, number theory Correct Solution: ``` n=input() m=int(input()) res=0 pw=1 for i in range(len(n)-1, -1, -1): res=(res+pw*int(n[i]))%m if (i>0): pw=(pw*10)%m partial=res for x in n: if (int(x)!=0): res=min(res, partial) partial=(partial-int(x)*pw)%m partial=(parti...
output
1
36,572
22
73,145
Provide tags and a correct Python 3 solution for this coding contest problem. Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. ...
instruction
0
36,573
22
73,146
Tags: *special, math, number theory Correct Solution: ``` N = input() M = int( input() ) cur = int( N ) % M ans = cur for i in range( len( N ) ): cur -= ( ord( N[ i ] ) - ord( '0' ) ) * pow( 10, len( N ) - 1, M ) % M cur = cur * 10 % M cur = ( cur + ord( N[ i ] ) - ord( '0' ) ) % M if N[ ( i + 1 ) % len( N ) ] ...
output
1
36,573
22
73,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading ...
instruction
0
36,574
22
73,148
No
output
1
36,574
22
73,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading ...
instruction
0
36,575
22
73,150
No
output
1
36,575
22
73,151
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading ...
instruction
0
36,576
22
73,152
No
output
1
36,576
22
73,153
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Stepan has a very big positive integer. Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading ...
instruction
0
36,577
22
73,154
No
output
1
36,577
22
73,155
Provide tags and a correct Python 3 solution for this coding contest problem. You are given four integers a, b, x and y. Initially, a β‰₯ x and b β‰₯ y. You can do the following operation no more than n times: * Choose either a or b and decrease it by one. However, as a result of this operation, value of a cannot becom...
instruction
0
37,017
22
74,034
Tags: brute force, greedy, math Correct Solution: ``` from __future__ import division, print_function import os import sys from io import BytesIO, IOBase def main(): def solve(): # find the max difference between a and b! a, b, minA, minB, n = [ int(x) for x in input().split() ] initial ...
output
1
37,017
22
74,035
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,391
22
74,782
Tags: binary search, implementation, math Correct Solution: ``` def bgcd(a,b): d=0 while a%2==0 and b%2==0: a=a//2 b=b//2 d+=1 while a!=b: if a%2==0: a=a//2 elif b%2==0: b=b//2 else: if a>b: a=(a-b)//2 ...
output
1
37,391
22
74,783
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,392
22
74,784
Tags: binary search, implementation, math Correct Solution: ``` a,b=map(int,input().split()) A=[] for i in range(2,int(a**0.5)+1): while a%i==0: a//=i A.append(i) if a!=1: A.append(a) #print(A) out=0 while b>0: n=len(A) x=-1 for i in range(n): if x==-1 or b%A[i]<b%A[x]: ...
output
1
37,392
22
74,785
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,393
22
74,786
Tags: binary search, implementation, math Correct Solution: ``` import sys from math import sqrt, gcd from itertools import product from functools import reduce from operator import mul def get_primes(n: int): from itertools import chain from array import array primes = [2, 3] is_prime = (array('b', (...
output
1
37,393
22
74,787
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,394
22
74,788
Tags: binary search, implementation, math Correct Solution: ``` def gcd(a,b): #print(a,b) if b == 0:return a return gcd(b,a%b) def kmm(a,b): return a*b//gcd(a,b) a,b = map(int,input().split()) t = 0 while b > 0: divi=[] for i in range(1,int(a**0.5)+1): if a%i == 0: divi.appen...
output
1
37,394
22
74,789
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,395
22
74,790
Tags: binary search, implementation, math Correct Solution: ``` import sys import math from fractions import gcd def prime_factors(n): res = [] if n % 2 == 0: res.append(2) while n % 2 == 0: n //= 2 for i in range(3, int(math.sqrt(n) + 1), 2): if n % i == 0: res.app...
output
1
37,395
22
74,791
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,396
22
74,792
Tags: binary search, implementation, math Correct Solution: ``` from sys import stdin, stdout from math import factorial from math import log10 INF = float('inf') def gcd(a, b): if not b: return a else: return gcd(b, a % b) def f(a, b, u): if not b: return 0 if not fac...
output
1
37,396
22
74,793
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,397
22
74,794
Tags: binary search, implementation, math Correct Solution: ``` from fractions import gcd x, y = map(int, input().split()) a = int(x**.5 + 1) p = [] x1 = x for i in range(2, a + 1): if (x1 % i == 0): p.append(i) while (x1 % i == 0): x1 //= i if (x1 > 1): p.append(x1) ans = 0 while (y != 0): r = gcd...
output
1
37,397
22
74,795
Provide tags and a correct Python 3 solution for this coding contest problem. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he want...
instruction
0
37,398
22
74,796
Tags: binary search, implementation, math Correct Solution: ``` def sqrt(n): return n**.5 def pfs(n): A = [] while n % 2 == 0: A += [2] n //= 2 return A + pfs_dummy(n, 3) def pfs_dummy(n, start): if n == 1: return [] A = [] for k in range(start, int(sqrt(n)+1), 2): i...
output
1
37,398
22
74,797
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b....
instruction
0
37,399
22
74,798
No
output
1
37,399
22
74,799
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b....
instruction
0
37,400
22
74,800
No
output
1
37,400
22
74,801
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b....
instruction
0
37,401
22
74,802
No
output
1
37,401
22
74,803
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Vasya is studying number theory. He has denoted a function f(a, b) such that: * f(a, 0) = 0; * f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b....
instruction
0
37,402
22
74,804
No
output
1
37,402
22
74,805
Provide tags and a correct Python 3 solution for this coding contest problem. For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n. For example, 4-rounding of 375 is 375Β·80 = 30000. 30000 is the minimum integer s...
instruction
0
37,403
22
74,806
Tags: brute force, math, number theory Correct Solution: ``` from math import gcd def lcm(a, b): return (a / gcd(a, b)) * b num = "1" n, k = map(int, input().split()) for i in range(k): num += "0" num = int(num) print(int(lcm(num, n))) ```
output
1
37,403
22
74,807
Provide tags and a correct Python 3 solution for this coding contest problem. For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n. For example, 4-rounding of 375 is 375Β·80 = 30000. 30000 is the minimum integer s...
instruction
0
37,404
22
74,808
Tags: brute force, math, number theory Correct Solution: ``` def lcm(a,b): m = a*b while a != 0 and b != 0: if a > b: a %= b else: b %= a return m // (a+b) x,y = [int(i) for i in input().split()] a= 1 for i in range(0,y): a *= 10 print(str(lcm(x,a))) ``...
output
1
37,404
22
74,809
Provide tags and a correct Python 3 solution for this coding contest problem. For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n. For example, 4-rounding of 375 is 375Β·80 = 30000. 30000 is the minimum integer s...
instruction
0
37,406
22
74,812
Tags: brute force, math, number theory Correct Solution: ``` n,x = map(int,input().split()) t = n i = 1 flag = 0 while True: if t//pow(10,x) >= 1 and t%pow(10,x) == 0: flag = 1 break k = (t%(pow(10,i)))//10**(i-1) if k == 0: pass elif k%2 == 1 and k != 5: i = i - 1 break elif k == 5: t = t*2 elif k%2 ...
output
1
37,406
22
74,813
Provide tags and a correct Python 3 solution for this coding contest problem. For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n. For example, 4-rounding of 375 is 375Β·80 = 30000. 30000 is the minimum integer s...
instruction
0
37,407
22
74,814
Tags: brute force, math, number theory Correct Solution: ``` def nulls(n): data = list(str(n)) iter = 0 for i in range(len(data)-1,-1,-1): if data[i] != 0: break iter+=1 return iter def sol(): n,am = list(map(int,input().split())) if am == 0: print(n) ...
output
1
37,407
22
74,815
Provide tags and a correct Python 3 solution for this coding contest problem. For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n. For example, 4-rounding of 375 is 375Β·80 = 30000. 30000 is the minimum integer s...
instruction
0
37,409
22
74,818
Tags: brute force, math, number theory Correct Solution: ``` from math import gcd n, k = map(int, input().split()) lcm = lambda a, b: (a * b) // gcd(a, b) print(lcm(n, 10 ** k)) ```
output
1
37,409
22
74,819
Provide tags and a correct Python 3 solution for this coding contest problem. For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n. For example, 4-rounding of 375 is 375Β·80 = 30000. 30000 is the minimum integer s...
instruction
0
37,410
22
74,820
Tags: brute force, math, number theory Correct Solution: ``` def max_power(x,s): c=0 t=x while t%s==0: t//=s c+=1 return c n,k=map(int,input().split()) c2=max_power(n,2) c5=max_power(n,5) x=max(0,k-c2) y=max(0,k-c5) a=(2**x)*(5**y) print(n*a) ```
output
1
37,410
22
74,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n. For example, 4-rounding of 375 is...
instruction
0
37,412
22
74,824
Yes
output
1
37,412
22
74,825
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,620
22
75,240
"Correct Solution: ``` a, b, x = map(int, input().split()) print(int(b//x - (a-1)//x)) ```
output
1
37,620
22
75,241
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,621
22
75,242
"Correct Solution: ``` a, b, x = map(int, input().split()) print(b // x - ~-a // x) ```
output
1
37,621
22
75,243
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,622
22
75,244
"Correct Solution: ``` a, b, x = map(int, input().split()) a -= 1 print(b // x - a // x) ```
output
1
37,622
22
75,245
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,623
22
75,246
"Correct Solution: ``` a, b, x = (int(x) for x in input().split()) print(b//x-(a-1)//x) ```
output
1
37,623
22
75,247
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,624
22
75,248
"Correct Solution: ``` a, b, x = map(int, input().split(' ')) answer = b//x - (a-1)//x print(answer) ```
output
1
37,624
22
75,249
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,625
22
75,250
"Correct Solution: ``` a,b,x = map(int,input().split()) ans = 0 print((b)//x-(a+x-1)//x+1) ```
output
1
37,625
22
75,251
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,626
22
75,252
"Correct Solution: ``` a, b, x = [int(n) for n in input().split()] print(b // x - (a - 1) // x) ```
output
1
37,626
22
75,253
Provide a correct Python 3 solution for this coding contest problem. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ≀ x ≀ 10^{18} Input The input is given from Standard I...
instruction
0
37,627
22
75,254
"Correct Solution: ``` a,b,x = map(int,input().split()) cnt2 = b//x cnt1 = (a-1)//x print(cnt2-cnt1) ```
output
1
37,627
22
75,255
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,628
22
75,256
Yes
output
1
37,628
22
75,257
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,629
22
75,258
Yes
output
1
37,629
22
75,259
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,630
22
75,260
Yes
output
1
37,630
22
75,261
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,631
22
75,262
Yes
output
1
37,631
22
75,263
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,632
22
75,264
No
output
1
37,632
22
75,265
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,633
22
75,266
No
output
1
37,633
22
75,267
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,634
22
75,268
No
output
1
37,634
22
75,269
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given nonnegative integers a and b (a ≀ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x? Constraints * 0 ≀ a ≀ b ≀ 10^{18} * 1 ...
instruction
0
37,635
22
75,270
No
output
1
37,635
22
75,271
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three ...
instruction
0
37,975
22
75,950
Tags: implementation, number theory Correct Solution: ``` a, b, c = map(int, input().split()) d = 1073741824 p = [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] t = [{} for i in range(101)] ans = {} for i in p: j = i m = 1 while j < 101: for k in rang...
output
1
37,975
22
75,951
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three ...
instruction
0
37,976
22
75,952
Tags: implementation, number theory Correct Solution: ``` a, b, c = map(int, input().split()) def count_div(x): count = 2 for i in range(2, int(x**0.5)+1): if not x%i: if i*i != x: count += 2 else: count += 1 return count k = 10**5 d = [0 for i in range(10**6+1)] d[1] = 1; d[2] = 2; d[3] = 2 N = ...
output
1
37,976
22
75,953
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three ...
instruction
0
37,977
22
75,954
Tags: implementation, number theory Correct Solution: ``` a, b, c = map(int, input().split()) primes=[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] def d(x): ans=1 for i in primes: if x<i: break power=0 while x%i==0 and x>=i: x=x//i ...
output
1
37,977
22
75,955
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three ...
instruction
0
37,978
22
75,956
Tags: implementation, number theory Correct Solution: ``` a, b, c = map(int, input().split()) n = a*b*c + 1 div = [1]*(n) for i in range(2, n): for j in range(i, n, i): div[j] += 1 ans = 0 m = 1073741824 for i in range(1, a+1): for j in range(1,b+1): for k in range(1, c+1): ans += di...
output
1
37,978
22
75,957
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three ...
instruction
0
37,979
22
75,958
Tags: implementation, number theory Correct Solution: ``` a,b,c = map(int,input().split()) p= [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] mod = 1073741824 def divisor(x): y=0 ans=1 for i in p: if x < i: break y=1 while ...
output
1
37,979
22
75,959
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three ...
instruction
0
37,980
22
75,960
Tags: implementation, number theory Correct Solution: ``` a, b, c = map(int, input().strip().split()) dp = {} ut = {} res = 0 def findFactors(n): if n in ut: pass else: factors = {} curr = 2 while n % 2 == 0: factors[2] = factors.get(2, 0) + 1 n = n//2 ...
output
1
37,980
22
75,961
Provide tags and a correct Python 3 solution for this coding contest problem. Let's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum: <image> Find the sum modulo 1073741824 (230). Input The first line contains three ...
instruction
0
37,981
22
75,962
Tags: implementation, number theory Correct Solution: ``` #236B import math arr = list(map(int, input().split(" "))) a = arr[0] b = arr[1] c = arr[2] d = dict() def numdiv(n): if n in d: return d[n] else: count = 0 for i in range(1, int(math.sqrt(n) + 1)): if n % i == 0: count += 2 if int(math.sqrt...
output
1
37,981
22
75,963