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 |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,215 | 22 | 104,430 |
No | output | 1 | 52,215 | 22 | 104,431 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,216 | 22 | 104,432 |
No | output | 1 | 52,216 | 22 | 104,433 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,217 | 22 | 104,434 |
No | output | 1 | 52,217 | 22 | 104,435 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,234 | 22 | 104,468 |
Tags: bitmasks, greedy
Correct Solution:
```
n, k = map(int, input().split())
b = bin(n)[2:]
min1 = b.count('1')
if n < k:
print('NO')
elif min1 > k:
print('NO')
else:
print('YES')
i = 0
pows = []
while i < len(b):
idx = len(b) - 1 - i
if b[idx] == '1':
pows.append(2... | output | 1 | 52,234 | 22 | 104,469 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,235 | 22 | 104,470 |
Tags: bitmasks, greedy
Correct Solution:
```
from bisect import bisect_left as bl, bisect_right as br, insort
import sys
import heapq
from math import *
from collections import defaultdict as dd, deque
def data(): return sys.stdin.readline().strip()
def mdata(): return map(int, data().split())
#sys.setrecursionlimit(10... | output | 1 | 52,235 | 22 | 104,471 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,236 | 22 | 104,472 |
Tags: bitmasks, greedy
Correct Solution:
```
import math
n,k=map(int,input().split())
y=bin(n)
y=y[2:]
mn=0
y=y[::-1]
r=[]
c=0
for i in y:
if int(i)==1:
mn+=1
r+=[2**c]
c+=1
b=0
if mn<=k<=n:
print('YES')
while len(r)!=k:
while r[b]==1:
b+=1
x=r[b]//2
r... | output | 1 | 52,236 | 22 | 104,473 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,237 | 22 | 104,474 |
Tags: bitmasks, greedy
Correct Solution:
```
import heapq
n,k = map(int, input().split())
s = bin(n)[2:]
minval = s.count("1")
maxval = n
if k >= minval and k <= maxval:
print("YES")
L = []
for i,x in enumerate(s[::-1]):
if x == "1":
heapq.heappush(L,-2**i)
while len(L) !=... | output | 1 | 52,237 | 22 | 104,475 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,238 | 22 | 104,476 |
Tags: bitmasks, greedy
Correct Solution:
```
n, x = map(int, input().split())
v = n
l = []
i = 0
for k in range(32):
if (n & (1 << k)) >> k:
l.append(pow(2, k))
x -= len(l)
if x < 0:
print("NO")
else:
i = 0
while x > 0:
while i < len(l) and l[i] == 1:
i += 1
if i == ... | output | 1 | 52,238 | 22 | 104,477 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,239 | 22 | 104,478 |
Tags: bitmasks, greedy
Correct Solution:
```
import heapq
n, k = map(int, input().split())
h = [-x for x in range(30) if n & (1 << x)]
h.reverse()
if len(h) > k or n < k:
print("NO")
quit()
to_do = k - len(h)
while to_do > 0:
x = heapq.heappop(h)
if x == 0:
print("NO")
quit()
for _ in range(2):
he... | output | 1 | 52,239 | 22 | 104,479 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,240 | 22 | 104,480 |
Tags: bitmasks, greedy
Correct Solution:
```
#/usr/bin/env python3
import sys
a = input().split()
n = int(a[0])
k = int(a[1])
def factor(x):
w = str(bin(x))[2:]
return [len(w) - e[0] - 1 for e in enumerate(w) if int(e[1])]
f = factor(n)
if k < len(f):
print("NO")
sys.exit(0)
w = [2**x for x in f]
if sum(w) < ... | output | 1 | 52,240 | 22 | 104,481 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive integers n and k. Your task is to represent n as... | instruction | 0 | 52,241 | 22 | 104,482 |
Tags: bitmasks, greedy
Correct Solution:
```
def main():
n, k = list(map(int, input().split()))
if n < k:
print('NO')
return
if n == k:
print('YES')
print(' '.join(['1', ] * k))
return
powers = []
while n:
x = 1
while x * 2 <= n:
... | output | 1 | 52,241 | 22 | 104,483 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive i... | instruction | 0 | 52,242 | 22 | 104,484 |
Yes | output | 1 | 52,242 | 22 | 104,485 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive i... | instruction | 0 | 52,243 | 22 | 104,486 |
Yes | output | 1 | 52,243 | 22 | 104,487 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive i... | instruction | 0 | 52,245 | 22 | 104,490 |
Yes | output | 1 | 52,245 | 22 | 104,491 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive i... | instruction | 0 | 52,246 | 22 | 104,492 |
No | output | 1 | 52,246 | 22 | 104,493 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive i... | instruction | 0 | 52,247 | 22 | 104,494 |
No | output | 1 | 52,247 | 22 | 104,495 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive i... | instruction | 0 | 52,248 | 22 | 104,496 |
No | output | 1 | 52,248 | 22 | 104,497 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A positive integer x is called a power of two if it can be represented as x = 2^y, where y is a non-negative integer. So, the powers of two are 1, 2, 4, 8, 16, ....
You are given two positive i... | instruction | 0 | 52,249 | 22 | 104,498 |
No | output | 1 | 52,249 | 22 | 104,499 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,282 | 22 | 104,564 |
Tags: brute force, math, sortings
Correct Solution:
```
def calc(X, Y):
if len(Y) == 3: return sum(Y)
for x in X:
for y in Y:
if y % x == 0: break
else:
return calc([i for i in X if i != x], sorted(Y+[x])[::-1])
return sum(Y)
for _ in range(int(input())):
N = int(... | output | 1 | 52,282 | 22 | 104,565 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,283 | 22 | 104,566 |
Tags: brute force, math, sortings
Correct Solution:
```
answer = []
for _ in range(int(input())):
input()
l = sorted(map(int, input().split()))
other = 0
if l[-1] % 30 == 0 and len(set(l) & {l[-1] // 2, l[-1] // 3, l[-1] // 5}) == 3:
other = (31 * l[-1]) // 30
while len(l) >= 2 and l[-1] % l... | output | 1 | 52,283 | 22 | 104,567 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,284 | 22 | 104,568 |
Tags: brute force, math, sortings
Correct Solution:
```
import sys
p = int(input())
lines = sys.stdin.readlines()
res = []
def getMax(numset):
n = max(numset)
numset = set([j for j in numset if n % j != 0])
return (n , numset)
for i in range(p):
n = int(lines[2 * i])
m = []
numset = set()
... | output | 1 | 52,284 | 22 | 104,569 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,285 | 22 | 104,570 |
Tags: brute force, math, sortings
Correct Solution:
```
import sys
q = int(input())
lines = sys.stdin.readlines()
res = []
def getMax(numset):
n = max(numset)
numset = set([j for j in numset if n % j != 0])
return (n , numset)
for i in range(q):
n = int(lines[2 * i])
m = []
numset = set()
f... | output | 1 | 52,285 | 22 | 104,571 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,286 | 22 | 104,572 |
Tags: brute force, math, sortings
Correct Solution:
```
def calcSum(first):
global m
s = m[first]
k = 1
for i in range(first + 1, len(m)):
yes = True
for j in range(first, i):
if m[j] % m[i] == 0:
yes = False
break
if yes:
s... | output | 1 | 52,286 | 22 | 104,573 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,287 | 22 | 104,574 |
Tags: brute force, math, sortings
Correct Solution:
```
#def gcd(x,y):
# z=x%y
# while(z!=0):
# x=y;y=z;z=x%y
# return y
T=int(input())
for o in range(T):
n=int(input())
a=list(map(int,input().split()))
a.sort()
b=[]
for i in a:
if len(b)==0 or (len(b)!=0 and b[-1]!=i):b.append(i)
a=b
n=len(b)
if(n==1):prin... | output | 1 | 52,287 | 22 | 104,575 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,288 | 22 | 104,576 |
Tags: brute force, math, sortings
Correct Solution:
```
from sys import stdin, stdout
q = int(stdin.readline())
for it in range(q):
n = int(stdin.readline())
a = set(map(int, stdin.readline().split()))
M = max(a)
if M % 30 == 0 and M // 2 in a and M // 3 in a and M // 5 in a:
p1 = M * 31 // 3... | output | 1 | 52,288 | 22 | 104,577 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One important contest will take place on the most famous programming platform (Topforces) very soon!
The authors have a pool of n problems and should choose at most three of them into this contest. The prettiness of the i-th problem is a_i.... | instruction | 0 | 52,289 | 22 | 104,578 |
Tags: brute force, math, sortings
Correct Solution:
```
q = int(input())
ans = []
for w in range(q):
n = int(input())
a = [int(x) for x in input().split()]
a.sort()
a = a[::-1]
a1 = 0
b1 = 0
c1 = 0
a1 = a[0]
for i in range(n):
if a1 % a[i] != 0:
b1 = a[i]
... | output | 1 | 52,289 | 22 | 104,579 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,423 | 22 | 104,846 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
from collections import defaultdict
def primeFactors(n):
dic = defaultdict(int)
factors = []
while n % 2 == 0:
dic[2] += 1
n = n // 2
i = 3
while i * i <= n:
while n % i == 0:
dic[i] += ... | output | 1 | 52,423 | 22 | 104,847 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,424 | 22 | 104,848 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
def read():
return int(input())
def solve(n):
res = []
for i in range(2, int(n ** 0.5) + 2):
if not (n % i):
cur = [0, i]
while not (n % i):
n //= i
cur[0] += 1
... | output | 1 | 52,424 | 22 | 104,849 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,425 | 22 | 104,850 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
from collections import defaultdict
import math
def len(d):
count=0
for jj in d:
count+=1
return count
for _ in range(int(input())):
n=int(input())
no=n
d=defaultdict(int)
i,m,index=2,0,-1
while i * i <= n:... | output | 1 | 52,425 | 22 | 104,851 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,426 | 22 | 104,852 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
#!/usr/bin/env python
import os
import sys
from io import BytesIO, IOBase
import math
def prime_factorize(n):
n2 = n
i = 2
ans = []
while n > 1:
if i > math.sqrt(n2):
if len(ans)==0:
return [(n... | output | 1 | 52,426 | 22 | 104,853 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,427 | 22 | 104,854 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import math
global prime
prime = [True for i in range(10**5+1)]
def SieveOfEratosthenes(n):
n2 = int(n)
# Create a boolean array
# "prime[0..n]" and initialize
# all entries it as true.
# A value in prime[i] will
# final... | output | 1 | 52,427 | 22 | 104,855 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,428 | 22 | 104,856 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import sys
LI=lambda:list(map(int, sys.stdin.readline().split()))
MI=lambda:map(int, sys.stdin.readline().split())
SI=lambda:sys.stdin.readline().strip('\n')
II=lambda:int(sys.stdin.readline())
N=1000001
ok=[1]*N
primes=[]
for i in range(2, N):
... | output | 1 | 52,428 | 22 | 104,857 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,429 | 22 | 104,858 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
## necessary imports
import sys
input = sys.stdin.readline
# biesect_left is essentially an equivalent of lower_bound function in
# cpp and returns the first index not smaller than x.
from bisect import bisect_left;
from bisect import bisect_right... | output | 1 | 52,429 | 22 | 104,859 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the product of this sequence is n);
* a_{i + 1} is ... | instruction | 0 | 52,430 | 22 | 104,860 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
def sieve_eratosthenes(N):
"Generate list of prime integers from 1 to N (inclusive)"
assert isinstance(N, int), "sieve_eratosthenes(N): Given N non integer " + \
"data types"
if N < 2:
return []
sieve = lis... | output | 1 | 52,430 | 22 | 104,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n (n > 1).
Your task is to find a sequence of integers a_1, a_2, …, a_k such that:
* each a_i is strictly greater than 1;
* a_1 ⋅ a_2 ⋅ … ⋅ a_k = n (i. e. the pro... | instruction | 0 | 52,433 | 22 | 104,866 |
Yes | output | 1 | 52,433 | 22 | 104,867 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,475 | 22 | 104,950 |
Tags: brute force, math, number theory
Correct Solution:
```
n,k=map(int,input().split())
if n<13 and k>0:
print("NO")
exit()
if k==0:
print("YES")
exit()
prime=[True for i in range(n+1)]
prime[0]=False
prime[1]=False
p=2
while p*p<=n:
if prime[p]:
for i in range(p*2,n+1,p):
prim... | output | 1 | 52,475 | 22 | 104,951 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,476 | 22 | 104,952 |
Tags: brute force, math, number theory
Correct Solution:
```
n,k = map(int,input().split())
primesList = list()
#function to find prime
for i in range(2,n+1):
isPrime = True
for j in range(2,i):
if i%j==0:
isPrime = False
break
if isPrime:
primesList.append(i)
... | output | 1 | 52,476 | 22 | 104,953 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,477 | 22 | 104,954 |
Tags: brute force, math, number theory
Correct Solution:
```
n,k=map(int,input().split())
prime=[1]*5000
valid=[0]*5000
for i in range(2,32):
if prime[i]==1:
for j in range(2*i,1000,i):
prime[j]=0
lis=list()
for i in range(2,1000):
if prime[i]==1:
lis.append(i)
#print(len(lis))
... | output | 1 | 52,477 | 22 | 104,955 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,478 | 22 | 104,956 |
Tags: brute force, math, number theory
Correct Solution:
```
def primenum(k): #functionfor checking if a number is prime
if(k < 2):
return False
i = 2
while(i*i <= k):
if(k%i == 0):
return False
i += 1
return True
n, k = [int(x) for x in input().split()] #input data
... | output | 1 | 52,478 | 22 | 104,957 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,479 | 22 | 104,958 |
Tags: brute force, math, number theory
Correct Solution:
```
import math as m
def isPrime(n):
if n == 2 or n == 3:
return True
if n == 1 or n%2 == 0 or n % 3 == 0:
return False
i = 1
while (6*i - 1) <= int(m.sqrt(n)):
if n % (6*i + 1) == 0 or n % (6*i - 1) == 0:
return False
i+=1
return True
n, k ... | output | 1 | 52,479 | 22 | 104,959 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,480 | 22 | 104,960 |
Tags: brute force, math, number theory
Correct Solution:
```
from math import sqrt
from math import ceil
def is_prime(number):
if number == 2:
return True
for k in range(2, ceil(sqrt(number)) + 1):
if number % k == 0:
return False
return True
n, k = [int(x) for x in input().spli... | output | 1 | 52,480 | 22 | 104,961 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,481 | 22 | 104,962 |
Tags: brute force, math, number theory
Correct Solution:
```
n,k=map(int,input().split())
v=[]
for i in range(2,n+1):
if all(i%j!=0 for j in v):
v.append(i)
c=0
for i in range(len(v)-1):
if v[i]+v[i+1]+1 in v:
c+=1
if c>=k:
print("YES")
else:
print("NO")
``` | output | 1 | 52,481 | 22 | 104,963 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and... | instruction | 0 | 52,482 | 22 | 104,964 |
Tags: brute force, math, number theory
Correct Solution:
```
N, K = map(int, input().split())
primes = [2, 3]
for n in range(5, N + 1, 2):
if all((n % x != 0 for x in primes)):
primes.append(n)
count = 0
for index in range(len(primes) - 1):
if (primes[index] + primes[index + 1] + 1) in primes:
... | output | 1 | 52,482 | 22 | 104,965 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an... | instruction | 0 | 52,483 | 22 | 104,966 |
Yes | output | 1 | 52,483 | 22 | 104,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an... | instruction | 0 | 52,484 | 22 | 104,968 |
Yes | output | 1 | 52,484 | 22 | 104,969 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an... | instruction | 0 | 52,485 | 22 | 104,970 |
Yes | output | 1 | 52,485 | 22 | 104,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an... | instruction | 0 | 52,486 | 22 | 104,972 |
Yes | output | 1 | 52,486 | 22 | 104,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an... | instruction | 0 | 52,487 | 22 | 104,974 |
No | output | 1 | 52,487 | 22 | 104,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an... | instruction | 0 | 52,488 | 22 | 104,976 |
No | output | 1 | 52,488 | 22 | 104,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention an... | instruction | 0 | 52,489 | 22 | 104,978 |
No | output | 1 | 52,489 | 22 | 104,979 |
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