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 a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,234 | 22 | 178,468 |
"Correct Solution:
```
def gcd(a,b):
if b>a:
a,b = b,a
r = a%b
if r==0:
return b
else:
return gcd(b, a%b)
def solve(a,b):
if a==1:
return 1,0
if b==1:
return 0,1
if a>b:
q = a//b
r = a%b
x, y = solve(r,b)
return x, y-q*x
if a<b:
q = b//a
r = b%a
x, y = solve(a,r)
return x-q*y, y
a,b ... | output | 1 | 89,234 | 22 | 178,469 |
Provide a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,235 | 22 | 178,470 |
"Correct Solution:
```
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians
from itertools import permutations, combinations, product
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, asci... | output | 1 | 89,235 | 22 | 178,471 |
Provide a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,236 | 22 | 178,472 |
"Correct Solution:
```
def gcd(a, b):
global queue
r = a % b
if r:
d = a // b
sb = queue.pop()
sa = queue.pop()
queue.append(sb)
queue.append(tuple(map(lambda x, y: x - d * y, sa, sb)))
return gcd(b, r)
else:
return b
a, b = map(int, input().spli... | output | 1 | 89,236 | 22 | 178,473 |
Provide a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,237 | 22 | 178,474 |
"Correct Solution:
```
#E
a,b = map(int,input().split())
def extgcd(x,y):
c1,c2 = x,y
a1,a2 = 1,0
b1,b2 = 0,1
while c2:
m = c1%c2
q = c1//c2
c1,c2 = c2,m
a1,a2 = a2,(a1-q*a2)
b1,b2 = b2,(b1-q*b2)
return c1,a1,b1
ans = extgcd(a,b)
print(ans[1],a... | output | 1 | 89,237 | 22 | 178,475 |
Provide a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,238 | 22 | 178,476 |
"Correct Solution:
```
def extgcd(a, b):
if b == 0:
return a, 1, 0
else:
d, y, x = extgcd(b, a%b)
y -= a // b * x
return d, x, y
a, b = map(int, input().split())
_, x, y = extgcd(a, b)
print(x, y)
``` | output | 1 | 89,238 | 22 | 178,477 |
Provide a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,239 | 22 | 178,478 |
"Correct Solution:
```
import math
a, b = map(int, input().split())
c = math.gcd(a, b)
def ex_euclid(x, y):
c0, c1 = x, y
a0, a1 = 1, 0
b0, b1 = 0, 1
while c1 != 0:
m = c0 % c1
q = c0 // c1
c0, c1 = c1, m
a0, a1 = a1, (a0 - q * a1)
b0, b1 = b1, (b0 - q * b1)
return c0, a0, b0... | output | 1 | 89,239 | 22 | 178,479 |
Provide a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,240 | 22 | 178,480 |
"Correct Solution:
```
def egcd(a, b):
x,y, u,v = 0,1, 1,0
while a != 0:
q, r = b//a, b%a
m, n = x-u*q, y-v*q
b,a, x,y, u,v = a,r, u,v, m,n
gcd = b
return gcd,x,y
a,b = (int(_) for _ in input().split(" "))
gcd,x,y = egcd(a,b)
if y * a + x * b == gcd:
tmp = x
x = y
y... | output | 1 | 89,240 | 22 | 178,481 |
Provide a correct Python 3 solution for this coding contest problem.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
* 1 ≤ a, b ≤ 109
Input
a b
Two positive integers a a... | instruction | 0 | 89,241 | 22 | 178,482 |
"Correct Solution:
```
def ex_euclid(x, y):
a0, a1 = 1, 0
b0, b1 = 0, 1
while y!=0:
a0, a1 = a1, (a0 - x//y * a1)
b0, b1 = b1, (b0 - x//y * b1)
x, y = y, x%y
return a0, b0
a,b=map(int,input().split())
print(*ex_euclid(a,b))
``` | output | 1 | 89,241 | 22 | 178,483 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,242 | 22 | 178,484 |
Yes | output | 1 | 89,242 | 22 | 178,485 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,243 | 22 | 178,486 |
Yes | output | 1 | 89,243 | 22 | 178,487 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,244 | 22 | 178,488 |
Yes | output | 1 | 89,244 | 22 | 178,489 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,245 | 22 | 178,490 |
Yes | output | 1 | 89,245 | 22 | 178,491 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,246 | 22 | 178,492 |
No | output | 1 | 89,246 | 22 | 178,493 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,247 | 22 | 178,494 |
No | output | 1 | 89,247 | 22 | 178,495 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,248 | 22 | 178,496 |
No | output | 1 | 89,248 | 22 | 178,497 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Extended Euclid Algorithm
Given positive integers a and b, find the integer solution (x, y) to ax + by = gcd(a, b), where gcd(a, b) is the greatest common divisor of a and b.
Constraints
*... | instruction | 0 | 89,249 | 22 | 178,498 |
No | output | 1 | 89,249 | 22 | 178,499 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n positive integers written on the blackboard. Also, a positive number k ≥ 2 is chosen, and none of the numbers on the blackboard are divisible by k. In one operation, you can choose a... | instruction | 0 | 89,354 | 22 | 178,708 |
No | output | 1 | 89,354 | 22 | 178,709 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n positive integers written on the blackboard. Also, a positive number k ≥ 2 is chosen, and none of the numbers on the blackboard are divisible by k. In one operation, you can choose a... | instruction | 0 | 89,355 | 22 | 178,710 |
No | output | 1 | 89,355 | 22 | 178,711 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n positive integers written on the blackboard. Also, a positive number k ≥ 2 is chosen, and none of the numbers on the blackboard are divisible by k. In one operation, you can choose a... | instruction | 0 | 89,356 | 22 | 178,712 |
No | output | 1 | 89,356 | 22 | 178,713 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are n positive integers written on the blackboard. Also, a positive number k ≥ 2 is chosen, and none of the numbers on the blackboard are divisible by k. In one operation, you can choose a... | instruction | 0 | 89,357 | 22 | 178,714 |
No | output | 1 | 89,357 | 22 | 178,715 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,374 | 22 | 178,748 |
Tags: brute force, math
Correct Solution:
```
T_ON = 0
DEBUG_ON = 0
MOD = 998244353
def solve():
n = read_int()
if n == 1:
print(10, 9)
else:
print(n * 3, n * 2)
def main():
T = read_int() if T_ON else 1
for i in range(T):
solve()
def debug(*xargs):
if DEBUG_ON:
... | output | 1 | 89,374 | 22 | 178,749 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,375 | 22 | 178,750 |
Tags: brute force, math
Correct Solution:
```
n = int(input())
def comp(n):
for i in range(2, int(n**0.5) + 1):
if n % i == 0:
return True
return False
for i in range(4, 1000000):
if comp(i) and comp(n + i):
print(n + i, i)
break
``` | output | 1 | 89,375 | 22 | 178,751 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,376 | 22 | 178,752 |
Tags: brute force, math
Correct Solution:
```
n=int(input())
if n%2==0:
n1=4
n2=n+4
else:
n1=9
n2=n+9
print(n2,n1)
``` | output | 1 | 89,376 | 22 | 178,753 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,377 | 22 | 178,754 |
Tags: brute force, math
Correct Solution:
```
import sys
input = sys.stdin.readline
n = int(input())
if not n % 2:
print(n + 4, 4)
sys.exit()
else:
print(n + 9, 9)
``` | output | 1 | 89,377 | 22 | 178,755 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,378 | 22 | 178,756 |
Tags: brute force, math
Correct Solution:
```
n=int(input())
b=4
a=b+n
aa=1
while aa!=2:
qa,qb=0,0
for i in range(2,a):
if a%i==0:
qa=1
break
for i in range(2,b):
if b%i==0:
qb=1
break
aa=qa+qb
if aa==2: break
else:
a+=1
b+=1
print(a,b)
``` | output | 1 | 89,378 | 22 | 178,757 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,379 | 22 | 178,758 |
Tags: brute force, math
Correct Solution:
```
from math import sqrt
def Nprime(n):
for i in range(2, int(sqrt(n))+1):
if n % i == 0:
return True
else:
return False
a = int(input())
l = len(str(a))
n = ["1"] + ["0"]*l
n = int("".join(n))
if n - a <=4:
n *= 10
while(True):
if Nprime(n) and Nprime(n-a):
prin... | output | 1 | 89,379 | 22 | 178,759 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,380 | 22 | 178,760 |
Tags: brute force, math
Correct Solution:
```
n = int(input())
if(n==1):
print("9 8")
elif(n==2):
print("6 4")
elif(n==3):
print("9 6")
elif(n%2==0):
print(n+4,"4")
else:
print(n+9,"9")
``` | output | 1 | 89,380 | 22 | 178,761 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers are not composite: 13, 1, 2, 3, 37.
You are ... | instruction | 0 | 89,381 | 22 | 178,762 |
Tags: brute force, math
Correct Solution:
```
def check_prime(n):
for i in range(2, int(n**0.5)):
if n % i == 0:
return True
return False
def main():
n = int(input())
a, b = 0, 4
while True:
a = n + b
if check_prime(a):
return str(a) + " " + str(... | output | 1 | 89,381 | 22 | 178,763 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,382 | 22 | 178,764 |
Yes | output | 1 | 89,382 | 22 | 178,765 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,383 | 22 | 178,766 |
Yes | output | 1 | 89,383 | 22 | 178,767 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,384 | 22 | 178,768 |
Yes | output | 1 | 89,384 | 22 | 178,769 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,385 | 22 | 178,770 |
Yes | output | 1 | 89,385 | 22 | 178,771 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,386 | 22 | 178,772 |
No | output | 1 | 89,386 | 22 | 178,773 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,387 | 22 | 178,774 |
No | output | 1 | 89,387 | 22 | 178,775 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,388 | 22 | 178,776 |
No | output | 1 | 89,388 | 22 | 178,777 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's call a positive integer composite if it has at least one divisor other than 1 and itself. For example:
* the following numbers are composite: 1024, 4, 6, 9;
* the following numbers a... | instruction | 0 | 89,389 | 22 | 178,778 |
No | output | 1 | 89,389 | 22 | 178,779 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,422 | 22 | 178,844 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
n = int(input())
res = [1] * (n + 1)
for i in range(2, n + 1):
j = i
while i*j <= n:
res[i*j] = max(res[i*j], j)
j += 1
res.sort()
print(" ".join(map(str, res[2:])))
``` | output | 1 | 89,422 | 22 | 178,845 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,423 | 22 | 178,846 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
from sys import stdin, stdout
input = stdin.readline
print = stdout.write
R = lambda: list(map(int, input().split()))
n = int(input())
s = [0]*(n+1)
vis = [0]*(n+1)
u = 2
while u*u <= n:
if not vis[u]:
for i in... | output | 1 | 89,423 | 22 | 178,847 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,424 | 22 | 178,848 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
n = int(input())
sieve = [-1] * (n + 1)
primes = []
for i in range(2, n + 1):
if sieve[i] == -1:
sieve[i] = i
primes.append(i)
for x in range(2 * i, n + 1, i):
if sieve[x] == -1:
... | output | 1 | 89,424 | 22 | 178,849 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,425 | 22 | 178,850 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
def lf(x):
i = 2
while i * i <= x:
if x % i == 0: return x // i
i += 1
return 1
if __name__ == "__main__":
n = int(input())
d = []
for i in range(2, n + 1):
#print(i, lf(i), sep = ' ')
d.append... | output | 1 | 89,425 | 22 | 178,851 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,426 | 22 | 178,852 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
def main():
for _ in inputt(1):
n, = inputi()
S = [1] * (n + 1)
for i in range(2, n // 2 + 1):
for j in range(i * 2, n + 1, i):
S[j] = i
S.sort()
print... | output | 1 | 89,426 | 22 | 178,853 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,427 | 22 | 178,854 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
n = int(input())
l = [0]*(n+1)
for i in range(1,n+1):
for j in range(2*i,n+1,i):
l[j] = i
l.sort()
print(*l[2:n+1])
``` | output | 1 | 89,427 | 22 | 178,855 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,428 | 22 | 178,856 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
# -*- coding:utf-8 -*-
"""
created by shuangquan.huang at 2020/7/1
"""
import collections
import time
import os
import sys
import bisect
import heapq
from typing import List
if __name__ == '__main__':
N = int... | output | 1 | 89,428 | 22 | 178,857 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,429 | 22 | 178,858 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
n = int(input())
ans=[1]*(n+1)
for i in range(2,n+1):
j=i
while j*i<=n:
ans[j*i]=max(ans[j*i],j)
j+=1
a=sorted(ans)
print(*a[2:])
``` | output | 1 | 89,429 | 22 | 178,859 |
Provide tags and a correct Python 2 solution for this coding contest problem.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠ b.
Kate is a very neat girl and for each k ∈... | instruction | 0 | 89,430 | 22 | 178,860 |
Tags: greedy, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
def in_arr():
return map(int,raw_input().split())... | output | 1 | 89,430 | 22 | 178,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠... | instruction | 0 | 89,431 | 22 | 178,862 |
Yes | output | 1 | 89,431 | 22 | 178,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠... | instruction | 0 | 89,432 | 22 | 178,864 |
Yes | output | 1 | 89,432 | 22 | 178,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠... | instruction | 0 | 89,433 | 22 | 178,866 |
Yes | output | 1 | 89,433 | 22 | 178,867 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠... | instruction | 0 | 89,434 | 22 | 178,868 |
Yes | output | 1 | 89,434 | 22 | 178,869 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Kate has a set S of n integers \{1, ..., n\} .
She thinks that imperfection of a subset M ⊆ S is equal to the maximum of gcd(a, b) over all pairs (a, b) such that both a and b are in M and a ≠... | instruction | 0 | 89,435 | 22 | 178,870 |
No | output | 1 | 89,435 | 22 | 178,871 |
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