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.
Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas of mathematics. For example, the equality of th... | instruction | 0 | 56,730 | 22 | 113,460 |
Tags: combinatorics, dp, math
Correct Solution:
```
n = int(input()) + 1
d = 1000000007
g = [[1] * n for i in range(n)]
for i in range(1, n):
g[i][0] = g[i - 1][i - 1]
for j in range(1, i + 1): g[i][j] = (g[i][j - 1] + g[i - 1][j - 1]) % d
print((g[-1][-1] - g[-1][0]) % d)
``` | output | 1 | 56,730 | 22 | 113,461 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas of mathematics. For example, the equality of th... | instruction | 0 | 56,731 | 22 | 113,462 |
Tags: combinatorics, dp, math
Correct Solution:
```
sym_trans = [1, 3, 10, 37, 151, 674, 3263, 17007, 94828, 562595, 3535027, 23430840, 163254885, 192059216, 97183539, 384727153, 211932162, 665362848, 415709078, 654959364, 894067657, 839120000, 627072923, 586774033, 440165789, 840647542, 118441546, 505992682, 607243387... | output | 1 | 56,731 | 22 | 113,463 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas of mathematics. For example, the equality of th... | instruction | 0 | 56,732 | 22 | 113,464 |
Tags: combinatorics, dp, math
Correct Solution:
```
mod = 10**9 + 7
n = int(input())
f = [0]*(n+1)
f[0] = 1
count = 1
for i in range(1, n+1):
for j in range (0, i):
f[(count + j + n + 1)% (n+1)] = (f[(count - i + j + n + 1) % (n+1)] + f[(count + j +n) % (n+1)]+ mod)% mod
count = (count + i + n... | output | 1 | 56,732 | 22 | 113,465 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas ... | instruction | 0 | 56,733 | 22 | 113,466 |
No | output | 1 | 56,733 | 22 | 113,467 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas ... | instruction | 0 | 56,734 | 22 | 113,468 |
No | output | 1 | 56,734 | 22 | 113,469 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas ... | instruction | 0 | 56,735 | 22 | 113,470 |
No | output | 1 | 56,735 | 22 | 113,471 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Johnny has recently learned about set theory. Now he is studying binary relations. You've probably heard the term "equivalence relation". These relations are very important in many areas ... | instruction | 0 | 56,736 | 22 | 113,472 |
No | output | 1 | 56,736 | 22 | 113,473 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-com... | instruction | 0 | 57,181 | 22 | 114,362 |
Tags: dp, implementation, math, number theory
Correct Solution:
```
from math import gcd
import sys
n = int(sys.stdin.readline())
a = [[] for i in range(n)]
for i in range(n):
a[i] = bin((1 << n) | int(sys.stdin.readline(), 16))[3:]
ans, i = 0, 0
while i < n:
j = i + 1
while j < n and a[i] == a[j]:
... | output | 1 | 57,181 | 22 | 114,363 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-com... | instruction | 0 | 57,182 | 22 | 114,364 |
Tags: dp, implementation, math, number theory
Correct Solution:
```
from sys import stdin,stdout
def gcd(a,b):
if b==0:
return a
return gcd(b,a%b)
n=int(stdin.readline())
a=[0]*n
for _ in range(n):
a[_] = format(int(stdin.readline().strip(),16),"b").zfill(n)
r=[]
t= 1
for i in range(1,n):
if a[i]==a[i-1]:
... | output | 1 | 57,182 | 22 | 114,365 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-com... | instruction | 0 | 57,183 | 22 | 114,366 |
Tags: dp, implementation, math, number theory
Correct Solution:
```
import sys
from math import gcd
z = n = int(input())
a = [bin((1 << n) | int(input(), 16))[3:] for i in range(n)]
i = 0
while i < n:
j = i + 1
while j < n and a[i] == a[j]:
j += 1
z = gcd(z, j - i)
k = 0
while k < n:
l = k + 1
while l < n an... | output | 1 | 57,183 | 22 | 114,367 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-com... | instruction | 0 | 57,185 | 22 | 114,370 |
Tags: dp, implementation, math, number theory
Correct Solution:
```
import sys
import math
def compression(n, matrix):
i = ans = 0
while i < n:
j = i + 1
while j < n and matrix[i] == matrix[j]:
j += 1
ans = math.gcd(ans, j - i)
col = 0
while col < n:
... | output | 1 | 57,185 | 22 | 114,371 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a binary matrix A of size n × n. Let's denote an x-compression of the given matrix as a matrix B of size n/x × n/x such that for every i ∈ [1, n], j ∈ [1, n] the condition A[i][j] = B[⌈ i/x ⌉][⌈ j/x ⌉] is met.
Obviously, x-com... | instruction | 0 | 57,187 | 22 | 114,374 |
Tags: dp, implementation, math, number theory
Correct Solution:
```
import sys
def gcd(a,b):
if b==0:return a
while a>0:
a,b = b%a,a
return b
hex2bin = ['']*256
hex2bin[ord('0')] = b'0000'
hex2bin[ord('1')] = b'0001'
hex2bin[ord('2')] = b'0010'
hex2bin[ord('3')] = b'0011'
hex2bin[ord('4')] = b'010... | output | 1 | 57,187 | 22 | 114,375 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,677 | 22 | 115,354 |
Tags: greedy, math
Correct Solution:
```
l, r = map(int, input().split())
print(r if r-l==0 else 2)
``` | output | 1 | 57,677 | 22 | 115,355 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,678 | 22 | 115,356 |
Tags: greedy, math
Correct Solution:
```
l,r = map(int,input().split())
if(l==r):
print(l)
else:
print("2")
``` | output | 1 | 57,678 | 22 | 115,357 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,679 | 22 | 115,358 |
Tags: greedy, math
Correct Solution:
```
l, r = map(int, input().split())
if (l == r):
print(l)
else:
ma = (0, 2)
for i in range(2, round(r ** 0.5 + 2)):
k = r // i - (l - 1) // i
ma = max(ma, (k, i))
print(ma[1])
``` | output | 1 | 57,679 | 22 | 115,359 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,680 | 22 | 115,360 |
Tags: greedy, math
Correct Solution:
```
a,b=list(map(int,input().strip().split(' ')))
def check(a):
if a==2 or a==3 or a==5 or a==7:
return a
K=int(a**0.5)
for x in range(2,K+1):
if a%x==0:
return x
return a
if a==b:
print(check(a))
else:
pr... | output | 1 | 57,680 | 22 | 115,361 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,681 | 22 | 115,362 |
Tags: greedy, math
Correct Solution:
```
a,b=map(int,input().split())
if (abs(a-b)<2):
print(a)
else:
print(2)
``` | output | 1 | 57,681 | 22 | 115,363 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,682 | 22 | 115,364 |
Tags: greedy, math
Correct Solution:
```
l, r = [int(x) for x in input().split(" ")]
if l + 1>= r:
print(l)
else:
print(2)
``` | output | 1 | 57,682 | 22 | 115,365 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,683 | 22 | 115,366 |
Tags: greedy, math
Correct Solution:
```
from sys import maxsize, stdout, stdin, stderr
# mod = int(1e9 + 7)
import re # can use multiple splits
tup = lambda: map(int, stdin.readline().split())
I = lambda: int(stdin.readline())
lint = lambda: [int(x) for x in stdin.readline().split()]
S = lambda: stdin.readline().repl... | output | 1 | 57,683 | 22 | 115,367 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive, we wrote down all of their integer divisors ex... | instruction | 0 | 57,684 | 22 | 115,368 |
Tags: greedy, math
Correct Solution:
```
from sys import stdin, stdout
l, r = map(int, stdin.readline().split())
if (r - l > 10):
stdout.write('2')
else:
d = {}
for i in range(l, r + 1):
for j in range(1, min(int(i ** 0.5) + 1, i)):
if not i % j:
if j in d:
... | output | 1 | 57,684 | 22 | 115,369 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,685 | 22 | 115,370 |
Yes | output | 1 | 57,685 | 22 | 115,371 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,686 | 22 | 115,372 |
Yes | output | 1 | 57,686 | 22 | 115,373 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,687 | 22 | 115,374 |
Yes | output | 1 | 57,687 | 22 | 115,375 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,688 | 22 | 115,376 |
Yes | output | 1 | 57,688 | 22 | 115,377 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,689 | 22 | 115,378 |
No | output | 1 | 57,689 | 22 | 115,379 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,690 | 22 | 115,380 |
No | output | 1 | 57,690 | 22 | 115,381 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,691 | 22 | 115,382 |
No | output | 1 | 57,691 | 22 | 115,383 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given l and r. For all integers from l to r, inclusive,... | instruction | 0 | 57,692 | 22 | 115,384 |
No | output | 1 | 57,692 | 22 | 115,385 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,818 | 22 | 115,636 |
"Correct Solution:
```
N,P = map(int,input().split())
ans=1
i=2
if N==1:
print(P)
exit()
if N>=40 or P==1:
print(1)
exit()
while i<=(P**(1.001/N)):
while P%(i**N) == 0:
ans *= i
P = P//(i**N)
if i==2:
i+=1
else:
i+=2
print(ans)
``` | output | 1 | 57,818 | 22 | 115,637 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,819 | 22 | 115,638 |
"Correct Solution:
```
N, P = [int(i) for i in input().strip().split()]
dic={}
ans = 1
if N == 1:
print(P)
quit()
elif P == 1:
print(1)
quit()
for i in range(2,int(P**(1/2))+1):
num = 0
while P%i == 0:
num = num +1
P = int(P/i)
dic[i] = num//N
ans = ans*(i**(dic[i])... | output | 1 | 57,819 | 22 | 115,639 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,820 | 22 | 115,640 |
"Correct Solution:
```
N, P = map(int, input().split())
ans = 1
if N >= 45:
print(ans)
elif N == 1:
print(P)
else:
i = 1
while(i**N <= P):
if P % (i**N) == 0:
ans = i
i += 1
print(ans)
``` | output | 1 | 57,820 | 22 | 115,641 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,821 | 22 | 115,642 |
"Correct Solution:
```
n, p = list(map(int, input().split()))
if n == 1 :
print(p)
elif p == 1 :
print(1)
elif n >= 40:
print(1)
else:
ans = 1
count = 2
tmp = count**n
while (tmp) <= p:
if(p % tmp == 0):
ans *= count
p = int(p/tmp)
count -= 1
... | output | 1 | 57,821 | 22 | 115,643 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,822 | 22 | 115,644 |
"Correct Solution:
```
def factorization(n):
i = 2
L = []
num = n
while i**2 <= n:
c = 0
while num%i == 0:
num //= i
c += 1
if c > 0:
L.append((i, c))
i += 1
if num > 1:
L.append((n, 1))
return L
N, P = map(int... | output | 1 | 57,822 | 22 | 115,645 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,823 | 22 | 115,646 |
"Correct Solution:
```
N,P = map(int, input().split())
ans = 1
R = int(P**(1/N)) + 1
if N == 1:
ans = P
elif N > 40:
ans = 1
else:
for l in range(R):
if P % (R-l)**N == 0:
ans = R-l
break
print(ans)
``` | output | 1 | 57,823 | 22 | 115,647 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,824 | 22 | 115,648 |
"Correct Solution:
```
N,P = map(int, input().split())
count = 1
ans = 0
if N == 1:
print(P)
exit()
if N > 1000001:
print(1)
exit()
while True:
if count**N > P:
break
if P % count**N == 0:
ans = count
count += 1
print(ans)
``` | output | 1 | 57,824 | 22 | 115,649 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Constra... | instruction | 0 | 57,825 | 22 | 115,650 |
"Correct Solution:
```
N,P=list(map(int,input().split()))
root=P**(1/N)
x=round(root)
for i in range(x):
if P%((x-i)**N)==0:
print(x-i)
break
``` | output | 1 | 57,825 | 22 | 115,651 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,826 | 22 | 115,652 |
Yes | output | 1 | 57,826 | 22 | 115,653 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,827 | 22 | 115,654 |
Yes | output | 1 | 57,827 | 22 | 115,655 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,828 | 22 | 115,656 |
Yes | output | 1 | 57,828 | 22 | 115,657 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,829 | 22 | 115,658 |
Yes | output | 1 | 57,829 | 22 | 115,659 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,830 | 22 | 115,660 |
No | output | 1 | 57,830 | 22 | 115,661 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,831 | 22 | 115,662 |
No | output | 1 | 57,831 | 22 | 115,663 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,832 | 22 | 115,664 |
No | output | 1 | 57,832 | 22 | 115,665 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible... | instruction | 0 | 57,833 | 22 | 115,666 |
No | output | 1 | 57,833 | 22 | 115,667 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer number n. The following algorithm is applied to it:
1. if n = 0, then end algorithm;
2. find the smallest prime divisor d of n;
3. subtract d from n and go to step 1.
Determine the number of subtrations ... | instruction | 0 | 58,024 | 22 | 116,048 |
Tags: implementation, math, number theory
Correct Solution:
```
import math
n=int(input())
if (n%2==0):
print(n//2)
else:
x=(int)(math.sqrt(n))
for i in range(3,x+1):
if (n%i==0):
print((n-i)//2+1)
break
else:
print(1)
``` | output | 1 | 58,024 | 22 | 116,049 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer number n. The following algorithm is applied to it:
1. if n = 0, then end algorithm;
2. find the smallest prime divisor d of n;
3. subtract d from n and go to step 1.
Determine the number of subtrations ... | instruction | 0 | 58,025 | 22 | 116,050 |
Tags: implementation, math, number theory
Correct Solution:
```
n = int(input())
if n % 2 == 0:
print(n//2)
else:
i = 3
k = n
while i < k and n % i != 0:
i += 2
k = n // i +1
if k <= i:
print(1)
else:
n -= i
print(n//2 + 1)
``` | output | 1 | 58,025 | 22 | 116,051 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer number n. The following algorithm is applied to it:
1. if n = 0, then end algorithm;
2. find the smallest prime divisor d of n;
3. subtract d from n and go to step 1.
Determine the number of subtrations ... | instruction | 0 | 58,026 | 22 | 116,052 |
Tags: implementation, math, number theory
Correct Solution:
```
from os import path
import sys,time
# mod = int(1e9 + 7)
# import re
from math import ceil, floor,gcd,log,log2 ,factorial
from collections import defaultdict ,Counter , OrderedDict , deque
from itertools import combinations , groupby , zip_longest,permutat... | output | 1 | 58,026 | 22 | 116,053 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer number n. The following algorithm is applied to it:
1. if n = 0, then end algorithm;
2. find the smallest prime divisor d of n;
3. subtract d from n and go to step 1.
Determine the number of subtrations ... | instruction | 0 | 58,027 | 22 | 116,054 |
Tags: implementation, math, number theory
Correct Solution:
```
# // | _______ |
# // | | | |
# // | | | |
# // |_____ |_____| |______
"""
from sys import stdin, stdout
import math
from functools import reduce
import statistics
import numpy as np
import itertools
im... | output | 1 | 58,027 | 22 | 116,055 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer number n. The following algorithm is applied to it:
1. if n = 0, then end algorithm;
2. find the smallest prime divisor d of n;
3. subtract d from n and go to step 1.
Determine the number of subtrations ... | instruction | 0 | 58,028 | 22 | 116,056 |
Tags: implementation, math, number theory
Correct Solution:
```
n = int(input())
from math import sqrt
4
if (n%2 == 0): print (int(n/2))
else:
bank=0;
for i in range (3,int(sqrt(n))+1):
if n%i==0: bank = i; break
if bank==0: bank=n
print ((n-bank)//2 +1)
``` | output | 1 | 58,028 | 22 | 116,057 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer number n. The following algorithm is applied to it:
1. if n = 0, then end algorithm;
2. find the smallest prime divisor d of n;
3. subtract d from n and go to step 1.
Determine the number of subtrations ... | instruction | 0 | 58,029 | 22 | 116,058 |
Tags: implementation, math, number theory
Correct Solution:
```
import math
def func(n):
d = int(math.sqrt(n))
for i in range(2,d+1):
if n%i==0:
return i
return n
n = int(input())
ans = 0
while n%2 :
ans+=1;
n -= func(n)
print(ans+int(n/2))
``` | output | 1 | 58,029 | 22 | 116,059 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.