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 a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,506 | 22 | 57,012 |
Tags: math
Correct Solution:
```
def solve(A):
odd = sum([1 for it in A if it%2])
return "Yes" if 2*odd == len(A) else "No"
for case in range(int(input())):n = int(input());print(solve(list(map(int, input().split()))))
``` | output | 1 | 28,506 | 22 | 57,013 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,507 | 22 | 57,014 |
Tags: math
Correct Solution:
```
m = int(input())
for i in range(m):
n = int(input())
lis = list(map(int, input().split()))
odd = 0
even = 0
for j in lis:
if(j % 2 == 0):
even += 1
else:
odd += 1
if(odd == even):
print("Yes")
else:
p... | output | 1 | 28,507 | 22 | 57,015 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,508 | 22 | 57,016 |
Tags: math
Correct Solution:
```
n = int(input())
for _ in range(n):
n_array = int(input())
array = list(map(int, input().split()))
if len([1 for elem in array if elem % 2 == 0]) == len([1 for elem in array if elem % 2 == 1]):
print('Yes')
else:
print('No')
``` | output | 1 | 28,508 | 22 | 57,017 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,509 | 22 | 57,018 |
Tags: math
Correct Solution:
```
t=int(input())
for _ in range(0,t):
n=int(input())
a=list(map(int,input().split()))
ce=0
co=0
for i in a:
if(i%2==0):
ce=ce+1
if(i%2==1):
co=co+1
if(ce==co):
print("Yes")
else:
print("No")
``` | output | 1 | 28,509 | 22 | 57,019 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,510 | 22 | 57,020 |
Tags: math
Correct Solution:
```
num_lines = int(input())
def solve(nums):
count_ev = 0
count_od = 0
for num in nums:
if num % 2 == 0:
count_ev += 1
else:
count_od += 1
if count_od == count_ev:
return True
else:
return False
i = 0
while i < nu... | output | 1 | 28,510 | 22 | 57,021 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,511 | 22 | 57,022 |
Tags: math
Correct Solution:
```
import sys
input = lambda:sys.stdin.readline()
int_arr = lambda: list(map(int,input().split()))
str_arr = lambda: list(map(str,input().split()))
get_str = lambda: map(str,input().split())
get_int = lambda: map(int,input().split())
get_flo = lambda: map(float,input().split())
mod = 100... | output | 1 | 28,511 | 22 | 57,023 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,512 | 22 | 57,024 |
Tags: math
Correct Solution:
```
def f(l):
x=0
for i in range(len(l)):
if l[i]%2 ==0:
x=x+1
return x
def g(l,n):
if f(l)==n :
return "Yes"
else:
return "No"
t=int(input())
for _ in range(t):
n=int(input())
l=list(map(int,input().split()))
print(g(l,n... | output | 1 | 28,512 | 22 | 57,025 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactly one pair) so that the sum of the two elements... | instruction | 0 | 28,513 | 22 | 57,026 |
Tags: math
Correct Solution:
```
import sys
input = sys.stdin.readline
n = int(input())
for i in range(n):
m = int(input())
lis = list(map(int,input().split()))
ans_0 = 0
ans_1 = 0
for i in range(len(lis)):
if lis[i]%2 == 0:
ans_0 +=1
else:
ans_1 +=1
if ... | output | 1 | 28,513 | 22 | 57,027 |
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 (i. e. a set that can contain multiple equal integers) containing 2n integers. Determine if you can split it into exactly n pairs (i. e. each element should be in exactl... | instruction | 0 | 28,520 | 22 | 57,040 |
No | output | 1 | 28,520 | 22 | 57,041 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,828 | 22 | 57,656 |
Tags: math, number theory
Correct Solution:
```
l,r,x,y=map(int,input().split())
import math
def it(a):
if a<l or a>r:return(False)
return(True)
ans=0
div=set()
for i in range(1,int(y**0.5)+1):
if y%i==0 and (y//i)%x==0 and it(i*x) and it(y//i) and math.gcd(i,(y//i)//x)==1:
c=1 if i==(y//i)//x else 0
ans+=2-c
... | output | 1 | 28,828 | 22 | 57,657 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,829 | 22 | 57,658 |
Tags: math, number theory
Correct Solution:
```
from math import sqrt
def p_divs(n):
_a = []
for _i in range(2,int(sqrt(n)) + 10):
while n % _i == 0:
_a.append(_i)
n //= _i
if n > 1:
_a.append(n)
return _a
l, r, x, y = map(int, input().split())
if y % x != 0:
print(0)
else:
m = y /... | output | 1 | 28,829 | 22 | 57,659 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,830 | 22 | 57,660 |
Tags: math, number theory
Correct Solution:
```
l, r, x, y = map(int, input().split())
f = lambda ka, kb: int(gcd(ka*x,kb*x)==x and l <= ka * x <= r and l <= kb * x <= r)
gcd = lambda a, b: a if b == 0 else gcd(b, a % b)
cnt = 0
k = y // x
d = 1
while d * d <= k:
if k % d == 0:
cnt += f(d, k // d)
i... | output | 1 | 28,830 | 22 | 57,661 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,831 | 22 | 57,662 |
Tags: math, number theory
Correct Solution:
```
f=lambda: map(int,input().split())
def nod(a,b):
while True:
if a%b==0:
return b
if b%a==0:
return a
if a>b:
a,b=b,a%b
else:
a,b=b%a,a
l,r,x,y=f()
if y%x!=0:
print(0)
else:
k=0
... | output | 1 | 28,831 | 22 | 57,663 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,832 | 22 | 57,664 |
Tags: math, number theory
Correct Solution:
```
from sys import stdin, stdout
from math import gcd
input = stdin.buffer.readline
def add(a, b):
if l <= a <= r and l <= b <= r and gcd(a, b) == x:
s.add((a, b))
l, r, x, y = map(int, input().split())
s = set()
a = []
b = []
i = 1
while i * i <= x:
if not x % i:
a.... | output | 1 | 28,832 | 22 | 57,665 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,833 | 22 | 57,666 |
Tags: math, number theory
Correct Solution:
```
import math
l, r, gcd, lcm = (int(x) for x in input().split())
if lcm % gcd != 0:
print(0)
quit()
divisors = set()
for div in range(1, int(lcm ** 0.5 + 2)):
if lcm % div == 0:
divisors.add(div)
divisors.add(lcm // div)
prod = lcm * gcd
answers... | output | 1 | 28,833 | 22 | 57,667 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,834 | 22 | 57,668 |
Tags: math, number theory
Correct Solution:
```
#!/usr/bin/env python3
from sys import exit
from math import sqrt
[l, r, x, y] = map(int, input().strip().split())
if y % x != 0:
print (0)
exit()
y = y // x
l = -((-l) // x) # ceil
r = r // x
pr = []
i = 2
yx = y
mx = sqrt(yx)
while i <= mx:
d = 1
while yx % i ... | output | 1 | 28,834 | 22 | 57,669 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.
We define a pair of integers (a, b) good, ... | instruction | 0 | 28,835 | 22 | 57,670 |
Tags: math, number theory
Correct Solution:
```
import os, sys
from io import BytesIO, IOBase
from math import sqrt,ceil,gcd,log2
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.m... | output | 1 | 28,835 | 22 | 57,671 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,836 | 22 | 57,672 |
Yes | output | 1 | 28,836 | 22 | 57,673 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,837 | 22 | 57,674 |
Yes | output | 1 | 28,837 | 22 | 57,675 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,838 | 22 | 57,676 |
Yes | output | 1 | 28,838 | 22 | 57,677 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,839 | 22 | 57,678 |
Yes | output | 1 | 28,839 | 22 | 57,679 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,840 | 22 | 57,680 |
No | output | 1 | 28,840 | 22 | 57,681 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,841 | 22 | 57,682 |
No | output | 1 | 28,841 | 22 | 57,683 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,842 | 22 | 57,684 |
No | output | 1 | 28,842 | 22 | 57,685 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as we... | instruction | 0 | 28,843 | 22 | 57,686 |
No | output | 1 | 28,843 | 22 | 57,687 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,924 | 22 | 57,848 |
"Correct Solution:
```
N = int(input())
if N % 2 != 0:
N = N * 2
print(N)
``` | output | 1 | 28,924 | 22 | 57,849 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,925 | 22 | 57,850 |
"Correct Solution:
```
i=int(input())
print(i if i%2==0 else i*2)
``` | output | 1 | 28,925 | 22 | 57,851 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,926 | 22 | 57,852 |
"Correct Solution:
```
a = input()
a = int(a)
if a%2 ==0:print(a)
else:print(2*a)
``` | output | 1 | 28,926 | 22 | 57,853 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,927 | 22 | 57,854 |
"Correct Solution:
```
n = int(input())
print(n if (n % 2 == 0) else (n * 2))
``` | output | 1 | 28,927 | 22 | 57,855 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,928 | 22 | 57,856 |
"Correct Solution:
```
n = int(input())
if n%2:
n*=2
print(n)
``` | output | 1 | 28,928 | 22 | 57,857 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,929 | 22 | 57,858 |
"Correct Solution:
```
import math
n = int(input())
print(2 * n // math.gcd(2, n))
``` | output | 1 | 28,929 | 22 | 57,859 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,930 | 22 | 57,860 |
"Correct Solution:
```
n = int(input())
ans = n
if n%2:
ans *= 2
print(ans)
``` | output | 1 | 28,930 | 22 | 57,861 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
Output
... | instruction | 0 | 28,931 | 22 | 57,862 |
"Correct Solution:
```
n=int(input())
if n%2:
ans=2*n
else:
ans=n
print(ans)
``` | output | 1 | 28,931 | 22 | 57,863 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,932 | 22 | 57,864 |
Yes | output | 1 | 28,932 | 22 | 57,865 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,933 | 22 | 57,866 |
Yes | output | 1 | 28,933 | 22 | 57,867 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,934 | 22 | 57,868 |
Yes | output | 1 | 28,934 | 22 | 57,869 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,935 | 22 | 57,870 |
Yes | output | 1 | 28,935 | 22 | 57,871 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,936 | 22 | 57,872 |
No | output | 1 | 28,936 | 22 | 57,873 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,937 | 22 | 57,874 |
No | output | 1 | 28,937 | 22 | 57,875 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,938 | 22 | 57,876 |
No | output | 1 | 28,938 | 22 | 57,877 |
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 the minimum positive integer divisible by both 2 and N.
Constraints
* 1 \leq N \leq 10^9
* All values in input are integers.
Input
Input is given fro... | instruction | 0 | 28,939 | 22 | 57,878 |
No | output | 1 | 28,939 | 22 | 57,879 |
Provide a correct Python 3 solution for this coding contest problem.
In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Later, this claim was named Fermat's Last Theorem or Fermat... | instruction | 0 | 29,030 | 22 | 58,060 |
"Correct Solution:
```
# AOJ 1109: Fermat's Last Theorem
# Python3 2018.7.14 bal4u
from bisect import bisect_left
tbl = [i**3 for i in range(1111)]
while True:
z = int(input())
if z == 0: break
ma = 0
for x in range(z-1, 0, -1):
y = bisect_left(tbl, tbl[z]-tbl[x])-1
if tbl[y] > tbl[x]: break
ma = max(ma, tb... | output | 1 | 29,030 | 22 | 58,061 |
Provide a correct Python 3 solution for this coding contest problem.
In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Later, this claim was named Fermat's Last Theorem or Fermat... | instruction | 0 | 29,031 | 22 | 58,062 |
"Correct Solution:
```
a=1/3
while 1:
z=int(input())
if z==0:break
m=0
zz=z*z*z
for x in range(1,int(z/pow(2,a))+1):
xx=x*x*x
y=int(pow(zz-xx,a))
yy=y*y*y
m=max(m,yy+xx)
print(zz-m)
``` | output | 1 | 29,031 | 22 | 58,063 |
Provide a correct Python 3 solution for this coding contest problem.
In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Later, this claim was named Fermat's Last Theorem or Fermat... | instruction | 0 | 29,032 | 22 | 58,064 |
"Correct Solution:
```
while 1:
z=int(input())**3
if z==0:break
m,x=0,0
while 1:
x+=1
xx=x**3
y=int((z-xx)**(1/3))
if y<x:break
m=max(m,y**3+xx)
print(z-m)
``` | output | 1 | 29,032 | 22 | 58,065 |
Provide a correct Python 3 solution for this coding contest problem.
In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Later, this claim was named Fermat's Last Theorem or Fermat... | instruction | 0 | 29,033 | 22 | 58,066 |
"Correct Solution:
```
a=1/3
while 1:
z=int(input())
if z==0:break
m,zz=0,z*z*z
for x in range(1,int(z/pow(2,a))+1):
xx=x*x*x
y=int(pow(zz-xx,a))
yy=y*y*y
m=max(m,yy+xx)
print(zz-m)
``` | output | 1 | 29,033 | 22 | 58,067 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Lat... | instruction | 0 | 29,034 | 22 | 58,068 |
No | output | 1 | 29,034 | 22 | 58,069 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Lat... | instruction | 0 | 29,035 | 22 | 58,070 |
No | output | 1 | 29,035 | 22 | 58,071 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In the 17th century, Fermat wrote that he proved for any integer $n \geq 3$, there exist no positive integers $x$, $y$, $z$ such that $x^n + y^n = z^n$. However he never disclosed the proof. Lat... | instruction | 0 | 29,036 | 22 | 58,072 |
No | output | 1 | 29,036 | 22 | 58,073 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a prime number p, n integers a_1, a_2, …, a_n, and an integer k.
Find the number of pairs of indexes (i, j) (1 ≤ i < j ≤ n) for which (a_i + a_j)(a_i^2 + a_j^2) ≡ k mod p.
Input
The first line contains integers n, p, k (2 ≤... | instruction | 0 | 29,199 | 22 | 58,398 |
Tags: math, matrices, number theory, two pointers
Correct Solution:
```
#572_E
ln = [int(i) for i in input().split(" ")]
n = ln[0]
p = ln[1]
k = ln[2]
a = [int(i) for i in input().split(" ")]
cts = {}
ctsc = {}
ans = []
nm = 0
for i in range(0, len(a)):
an = ((a[i] ** 4) - (k * a[i])) % p
if an in ctsc... | output | 1 | 29,199 | 22 | 58,399 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a prime number p, n integers a_1, a_2, …, a_n, and an integer k.
Find the number of pairs of indexes (i, j) (1 ≤ i < j ≤ n) for which (a_i + a_j)(a_i^2 + a_j^2) ≡ k mod p.
Input
The first line contains integers n, p, k (2 ≤... | instruction | 0 | 29,200 | 22 | 58,400 |
Tags: math, matrices, number theory, two pointers
Correct Solution:
```
import sys
from collections import Counter
n,p,k=[int(x) for x in sys.stdin.readline().strip().split()]
arr=[int(x) for x in sys.stdin.readline().strip().split()]
brr = [int((x**4 - k*x + 100000000*p)%p) for x in arr]
a=Counter(brr)
print(sum([int(... | output | 1 | 29,200 | 22 | 58,401 |
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