message stringlengths 2 57.2k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 61 108k | cluster float64 22 22 | __index_level_0__ int64 122 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three positive (i.e. strictly greater than zero) integers x, y and z.
Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such ... | instruction | 0 | 31,158 | 22 | 62,316 |
Tags: math
Correct Solution:
```
for _ in range(int(input())):
x,y,z = map(int,input().split())
if x==y==z:
print('YES')
print(x,y,z)
elif x==y and x>z:
print('YES')
print(x,1,z)
elif x==z and x>y:
print('YES')
print(1,x,y)
elif y==z and y>x:
print('YES')
print(x,1,z)
else:
print('NO')
``` | output | 1 | 31,158 | 22 | 62,317 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three positive (i.e. strictly greater than zero) integers x, y and z.
Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such ... | instruction | 0 | 31,159 | 22 | 62,318 |
Tags: math
Correct Solution:
```
t = int(input())
while(t>0):
t = t-1
a = input()
A = list(map(int,list(a.split())))
m = max(A)
d = {}
for i in range(3):
if A[i] in d:
d[A[i]] = d[A[i]]+1
else:
d[A[i]] = 1
if d[m]>=2:
a = m
if d[m] == 3... | output | 1 | 31,159 | 22 | 62,319 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three positive (i.e. strictly greater than zero) integers x, y and z.
Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such ... | instruction | 0 | 31,160 | 22 | 62,320 |
Tags: math
Correct Solution:
```
t = int(input())
k = [[] for i in range(t)]
for i in range(t):
x, y, z = map(int, input().split())
a = b = c = 0
if max(x, y) == max(y, z) and max(y, z) == max(x, z):
k[i].append(min(x, y))
k[i].append(min(y, z))
k[i].append(min(z, x))
else:
... | output | 1 | 31,160 | 22 | 62,321 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three positive (i.e. strictly greater than zero) integers x, y and z.
Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such ... | instruction | 0 | 31,161 | 22 | 62,322 |
Tags: math
Correct Solution:
```
for _ in range(int(input())):
a=[int(x) for x in input().split()]
a.sort()
if a[1]!=a[2]:
print("NO")
else:
print("YES")
print(a[0],a[0],a[2])
``` | output | 1 | 31,161 | 22 | 62,323 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three positive (i.e. strictly greater than zero) integers x, y and z.
Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such ... | instruction | 0 | 31,162 | 22 | 62,324 |
Tags: math
Correct Solution:
```
import math
LI = lambda: list(map(int,input().split()) )
MI = lambda: map(int,input().split())
SI = lambda: input()
II = lambda: int(input())
t = II()
for q in range(t):
x,y,z = MI()
m = max(x,y,z)
if x == y == m or x == z == m:
print("YES")
print(m,min(x,y,z),min(x,y,z))
elif y... | output | 1 | 31,162 | 22 | 62,325 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Fox Ciel is playing a game with numbers now.
Ciel has n positive integers: x1, x2, ..., xn. She can do the following operation as many times as needed: select two different indexes i and j such that xi > xj hold, and then apply assignment ... | instruction | 0 | 31,316 | 22 | 62,632 |
Tags: greedy, math
Correct Solution:
```
def find_gcd(x, y):
while(y):
x, y = y, x % y
return x
n=int(input())
arr=list(map(int , input().split()))
ans=arr[0]
for i in range(1,n):
ans=find_gcd(ans,arr[i])
print(ans*n)
``` | output | 1 | 31,316 | 22 | 62,633 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,884 | 22 | 63,768 |
Tags: binary search, math
Correct Solution:
```
from collections import *
import sys
# "". join(strings)
def ri():
return int(input())
def rl():
return list(map(int, input().split()))
t =ri()
for _ in range(t):
n,k =rl()
q=(k-1)//(n-1)
print(k+q)
``` | output | 1 | 31,884 | 22 | 63,769 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,885 | 22 | 63,770 |
Tags: binary search, math
Correct Solution:
```
import math
import sys
input = sys.stdin.readline
t=int(input())
for i in range(t):
n,k=map(int,input().split())
q=k//(n-1)
r=k%(n-1)
if r==0:
print(n*q-1)
else:
print(n*q+r)
``` | output | 1 | 31,885 | 22 | 63,771 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,886 | 22 | 63,772 |
Tags: binary search, math
Correct Solution:
```
m = int(input())
for i in range(m):
n, k = map(int, input().split())
p = int(k*n/(n-1))
for x in range(p-2, p+2):
if x == k + x//n:
print(x)
break
``` | output | 1 | 31,886 | 22 | 63,773 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,887 | 22 | 63,774 |
Tags: binary search, math
Correct Solution:
```
# -*- coding: utf-8 -*-
"""
Created on Mon Nov 2 16:05:33 2020
@author: 章斯岚
"""
import math
t=int(input())
for i in range(t):
n,k=map(int,input().split())
print(math.ceil(k*(n/(n-1)))-1)
``` | output | 1 | 31,887 | 22 | 63,775 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,888 | 22 | 63,776 |
Tags: binary search, math
Correct Solution:
```
for i in range(int(input())):
n,k=map(int,input().split())
a=n-1
b=k//a
b=n*b
c=k%a
if(c==0):
print(b-1)
else:
print(b+c)
``` | output | 1 | 31,888 | 22 | 63,777 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,889 | 22 | 63,778 |
Tags: binary search, math
Correct Solution:
```
def solution():
t = int(input())
for _ in range(t):
n,m = map(int,input().split())
x = m // n
y = (m % n)
result = m - y
m = x + y
while m >= n :
x = m // n
y = (m % n)
result += m... | output | 1 | 31,889 | 22 | 63,779 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,890 | 22 | 63,780 |
Tags: binary search, math
Correct Solution:
```
import sys
t=int(sys.stdin.readline())
for _ in range(t):
n, k=map(int, sys.stdin.readline().split())
cnt=0
last=0
if k%(n-1)==0:
cnt=k//(n-1)
print(cnt*n-1)
else:
cnt=k//(n-1)+1
last=cnt*n-1
print(last-(cnt*(... | output | 1 | 31,890 | 22 | 63,781 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4, 5, 7, 8, 10, 11, 13 .... The 7-th number among... | instruction | 0 | 31,891 | 22 | 63,782 |
Tags: binary search, math
Correct Solution:
```
import math
def function(n, k):
x = int(math.floor((k) / (n - 1)))
if (k + x) % n == 0:
return ((k + x) - 1)
else:
return k + x
if __name__ == '__main__':
t = int(input())
for k1 in range(t):
n, k = map(int, input().rstrip()... | output | 1 | 31,891 | 22 | 63,783 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,892 | 22 | 63,784 |
Yes | output | 1 | 31,892 | 22 | 63,785 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,893 | 22 | 63,786 |
Yes | output | 1 | 31,893 | 22 | 63,787 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,894 | 22 | 63,788 |
Yes | output | 1 | 31,894 | 22 | 63,789 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,895 | 22 | 63,790 |
Yes | output | 1 | 31,895 | 22 | 63,791 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,896 | 22 | 63,792 |
No | output | 1 | 31,896 | 22 | 63,793 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,897 | 22 | 63,794 |
No | output | 1 | 31,897 | 22 | 63,795 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,898 | 22 | 63,796 |
No | output | 1 | 31,898 | 22 | 63,797 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers n and k. Print the k-th positive integer that is not divisible by n.
For example, if n=3, and k=7, then all numbers that are not divisible by 3 are: 1, 2, 4,... | instruction | 0 | 31,899 | 22 | 63,798 |
No | output | 1 | 31,899 | 22 | 63,799 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,988 | 22 | 63,976 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import sys
input = sys.stdin.readline
import math
def primeFactors(n):
c=0
while n % 2 == 0:
c+=1
n = n // 2
for i in range(3,int(math.sqrt(n))+1,2):
while n % i== 0:
c+=1
n = n // i
... | output | 1 | 31,988 | 22 | 63,977 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,989 | 22 | 63,978 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
def d(n):
a=0;d=3
while~n&1:n>>=1;a+=1
while d*d<=n:
while n%d<1:n//=d;a+=1
d+=2
return a+(n>1)
for s in[*open(0)][1:]:a,b,k=map(int,s.split());print("YNEOS"[[k>d(a)+d(b),0<max(a,b)%min(a,b)or a==b][k<2]::2])
``` | output | 1 | 31,989 | 22 | 63,979 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,990 | 22 | 63,980 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
from math import *
from collections import defaultdict as dt
from sys import stdin
inp = lambda : stdin.readline().strip()
I = lambda : int(inp())
M = lambda : map(int,inp().split())
L = lambda : list(M())
mod = 1000000007
inf = 100000000000... | output | 1 | 31,990 | 22 | 63,981 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,991 | 22 | 63,982 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import os, sys
from io import BytesIO, IOBase
from types import GeneratorType
from bisect import *
from collections import defaultdict, deque, Counter
import math, string
from heapq import *
from operator import add
from itertools import accumulat... | output | 1 | 31,991 | 22 | 63,983 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,992 | 22 | 63,984 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
def factorize(n):
a = 0
while n & 1 == 0:
a += 1
n >>= 1
f = 3
while f*f<=n:
if n%f==0:
a += 1
n//=f
else:
f+=2
if n!=1:
a += 1
return a
import sy... | output | 1 | 31,992 | 22 | 63,985 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,993 | 22 | 63,986 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
from collections import defaultdict, deque, Counter
from heapq import heapify, heappop, heappush
import math
from copy import deepcopy
from itertools import combinations, permutations, product, combinations_with_replacement
from bisect import bise... | output | 1 | 31,993 | 22 | 63,987 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,994 | 22 | 63,988 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
def zip_sorted(a,b): return zip(*sorted(zip(a,b)))[0],zip(*sorted(zip(a,b)))[1]
def gcd(a,b): return math.gcd(a,b)
def lcm(a,b): return ((a*b)//math.gcd(a,b))
def ncr(n,r): return math.comb(n,r)
def npr(n,r): return (math.factorial(n)//math.factor... | output | 1 | 31,994 | 22 | 63,989 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an integer c (c > 1 and b should be divisible by c)... | instruction | 0 | 31,995 | 22 | 63,990 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import math
primes = []
for i in range(2,math.floor(10**4.5)+1):
isprime = True
for j in range(2,math.floor(i**0.5)+1):
if i%j == 0:
isprime = False
break
if isprime:
primes.append(i)
T = int(input())
for t in range(T):
A,B,K = tup... | output | 1 | 31,995 | 22 | 63,991 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 31,996 | 22 | 63,992 |
Yes | output | 1 | 31,996 | 22 | 63,993 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 31,997 | 22 | 63,994 |
Yes | output | 1 | 31,997 | 22 | 63,995 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 31,998 | 22 | 63,996 |
Yes | output | 1 | 31,998 | 22 | 63,997 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 31,999 | 22 | 63,998 |
Yes | output | 1 | 31,999 | 22 | 63,999 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 32,000 | 22 | 64,000 |
No | output | 1 | 32,000 | 22 | 64,001 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 32,001 | 22 | 64,002 |
No | output | 1 | 32,001 | 22 | 64,003 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 32,002 | 22 | 64,004 |
No | output | 1 | 32,002 | 22 | 64,005 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b. In one turn, you can do one of the following operations:
* Take an integer c (c > 1 and a should be divisible by c) and replace a with a/c;
* Take an i... | instruction | 0 | 32,003 | 22 | 64,006 |
No | output | 1 | 32,003 | 22 | 64,007 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasing, and it has a number of remarkable properties... | instruction | 0 | 32,075 | 22 | 64,150 |
Tags: brute force, implementation, math, number theory
Correct Solution:
```
import sys
p,q = map(int,sys.stdin.readline().split())
def prime(n):
#print(int(n**0.5))
for div in range(2,int(n**0.5)+1):
if n%div==0:
return False
return True
def palindrom(n):
n = str(n)
for p... | output | 1 | 32,075 | 22 | 64,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 32,076 | 22 | 64,152 |
No | output | 1 | 32,076 | 22 | 64,153 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 32,077 | 22 | 64,154 |
No | output | 1 | 32,077 | 22 | 64,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 32,078 | 22 | 64,156 |
No | output | 1 | 32,078 | 22 | 64,157 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasin... | instruction | 0 | 32,079 | 22 | 64,158 |
No | output | 1 | 32,079 | 22 | 64,159 |
Provide tags and a correct Python 3 solution for this coding contest problem.
It can be shown that any positive integer x can be uniquely represented as x = 1 + 2 + 4 + ... + 2k - 1 + r, where k and r are integers, k ≥ 0, 0 < r ≤ 2k. Let's call that representation prairie partition of x.
For example, the prairie part... | instruction | 0 | 32,134 | 22 | 64,268 |
Tags: binary search, constructive algorithms, greedy, math
Correct Solution:
```
from collections import Counter
from math import log2, ceil
MAX = ceil(log2(10 ** 12))
def can():
seqs_cp = Counter(seqs)
for num in set(nums):
cnt = nums[num]
while cnt != 0 and num < 2 ** 63:
dif = ... | output | 1 | 32,134 | 22 | 64,269 |
Provide tags and a correct Python 3 solution for this coding contest problem.
It can be shown that any positive integer x can be uniquely represented as x = 1 + 2 + 4 + ... + 2k - 1 + r, where k and r are integers, k ≥ 0, 0 < r ≤ 2k. Let's call that representation prairie partition of x.
For example, the prairie part... | instruction | 0 | 32,135 | 22 | 64,270 |
Tags: binary search, constructive algorithms, greedy, math
Correct Solution:
```
from collections import Counter
from math import log2
powers = [2 ** p for p in range(64)]
def can():
near = Counter()
for num in set(nums):
p = int(log2(num))
near[p] += nums[num]
seq_cp = seqs - Counter()
... | output | 1 | 32,135 | 22 | 64,271 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Opposite to Grisha's nice behavior, Oleg, though he has an entire year at his disposal, didn't manage to learn how to solve number theory problems in the past year. That's why instead of Ded Mor... | instruction | 0 | 32,206 | 22 | 64,412 |
No | output | 1 | 32,206 | 22 | 64,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Opposite to Grisha's nice behavior, Oleg, though he has an entire year at his disposal, didn't manage to learn how to solve number theory problems in the past year. That's why instead of Ded Mor... | instruction | 0 | 32,207 | 22 | 64,414 |
No | output | 1 | 32,207 | 22 | 64,415 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Opposite to Grisha's nice behavior, Oleg, though he has an entire year at his disposal, didn't manage to learn how to solve number theory problems in the past year. That's why instead of Ded Mor... | instruction | 0 | 32,208 | 22 | 64,416 |
No | output | 1 | 32,208 | 22 | 64,417 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Opposite to Grisha's nice behavior, Oleg, though he has an entire year at his disposal, didn't manage to learn how to solve number theory problems in the past year. That's why instead of Ded Mor... | instruction | 0 | 32,209 | 22 | 64,418 |
No | output | 1 | 32,209 | 22 | 64,419 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
3
Output
1 | instruction | 0 | 32,457 | 22 | 64,914 |
"Correct Solution:
```
N = int(input())
def gcd(m, n):
while n:
m, n = n, m % n
return m
def lcm(m, n):
return m // gcd(m, n) * n
def carmichael(x):
r = 1
b = 0
while x & 1 == 0:
b += 1
x >>= 1
if b > 1:
r = 2 if b == 2 else 2**(b-2)
y = 3
while y*y... | output | 1 | 32,457 | 22 | 64,915 |
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