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.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,346 | 22 | 82,692 |
No | output | 1 | 41,346 | 22 | 82,693 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,347 | 22 | 82,694 |
No | output | 1 | 41,347 | 22 | 82,695 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's introduce some definitions that will be needed later.
Let prime(x) be the set of prime divisors of x. For example, prime(140) = \{ 2, 5, 7 \}, prime(169) = \{ 13 \}.
Let g(x, p) be the m... | instruction | 0 | 41,348 | 22 | 82,696 |
No | output | 1 | 41,348 | 22 | 82,697 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves writing all sorts of problems, especially such that he can't solve himself. You've got one of his problems, the one Furik gave to Rubik. And Rubik asks you to solve it.
There is integer n and array a, consisting of ten integers,... | instruction | 0 | 41,514 | 22 | 83,028 |
Tags: combinatorics, dp
Correct Solution:
```
from math import factorial
dp=[[-1 for i in range (101)] for j in range(101)]
def solve(n,p,a):
if dp[n][p] is not -1:
return dp[n][p]
elif p is 9:
if n>=a[9]:
return 1
else:
return 0
elif p is 0:
ans=0
... | output | 1 | 41,514 | 22 | 83,029 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,594 | 22 | 83,188 |
Tags: math, number theory
Correct Solution:
```
import math
def Sieve_of_E(n,prime):
p=2
while (p*p<n):
if (prime[p]==True):
for i in range(p*2, n+1, p):
prime[i]=False
p+=1
s=[True]*(10**6+1)
Sieve_of_E(10**6,s)
n=int(input())
for i in range(4,n//2+1):
if not... | output | 1 | 41,594 | 22 | 83,189 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,595 | 22 | 83,190 |
Tags: math, number theory
Correct Solution:
```
import math
def is_composite(n):
for i in range(2, int(math.sqrt(n) + 1)):
if n % i == 0:
return True
return False
n = int(input())
for i in range(4, n):
if is_composite(i) and is_composite(n - i):
print(i, n - i)
break
``` | output | 1 | 41,595 | 22 | 83,191 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,596 | 22 | 83,192 |
Tags: math, number theory
Correct Solution:
```
n = int(input())
x = 0
y = 0
def isPrimeOrOne(num):
num = int(num)
count = 0;
if num == 1:
return True
for x in range(2, num):
if num % x == 0:
count = count + 1;
if count >= 1:
return False
else:
... | output | 1 | 41,596 | 22 | 83,193 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,597 | 22 | 83,194 |
Tags: math, number theory
Correct Solution:
```
n = int(input())
def divider(n):
i = 2
j = 0
while i**2 <= n and j != 1:
if n%i == 0:
j = 1
i += 1
if j == 1:
#isn't prime
return True
else:
#prime
return False
a = 4
while True:
... | output | 1 | 41,597 | 22 | 83,195 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,598 | 22 | 83,196 |
Tags: math, number theory
Correct Solution:
```
def isprime(int):
count = 0
for i in range(2,int):
if(int%i==0):
count+=1
if(count==0):
return True;
else:
return False;
n = int(input())
a = n-1
b =1
while isprime(a)==True or isprime(b)==True:
b+=1
a-=1
print(a... | output | 1 | 41,598 | 22 | 83,197 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,599 | 22 | 83,198 |
Tags: math, number theory
Correct Solution:
```
def is_prime(n) :
if n in [2,3,5,7]:
return True
if n% 2 == 0 :
return False
r = 3
while r * r <= n:
if n % r == 0:
return False
r += 2
return True
if __name__ == "__main__":
n = int(input())
for i in range(2 , n):
if not is... | output | 1 | 41,599 | 22 | 83,199 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,600 | 22 | 83,200 |
Tags: math, number theory
Correct Solution:
```
def isPrime(p):
if p==2:
return True
c=1
for j in range(p//2+1):
c = c*(p-j)//(j+1)
if c%p:
return False
return True
t = int(input())
x = round(t**(0.5))
y= t-x
while isPrime(x) or isPrime(y):
x+=1
y-=1
print(x,y)
... | output | 1 | 41,600 | 22 | 83,201 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a statement called the "Goldbach's conjecture". I... | instruction | 0 | 41,601 | 22 | 83,202 |
Tags: math, number theory
Correct Solution:
```
def checkprime(n):
ans = True
for i in range(2, n//2+1):
if n % i == 0:
ans = False
break
return ans
n = int(input())
for i in range(3, n):
num1 = n - i
if checkprime(num1) == False and checkprime(i) == False:
... | output | 1 | 41,601 | 22 | 83,203 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.
For example, there is a ... | instruction | 0 | 41,603 | 22 | 83,206 |
Yes | output | 1 | 41,603 | 22 | 83,207 |
Provide a correct Python 3 solution for this coding contest problem.
As the first step in algebra, students learn quadratic formulas and their factorization. Often, the factorization is a severe burden for them. A large number of students cannot master the factorization; such students cannot be aware of the elegance o... | instruction | 0 | 42,015 | 22 | 84,030 |
"Correct Solution:
```
# AOJ 1106
import sys
import math
def gcd(a, b):
if a < b:
a, b = b, a
r = b
while r != 0:
r = a % b
if r == 0:
return b
a, b = b, r
def factor(a, b, c):
disc = b * b - 4 * a * c
if disc < 0:
print("Impossible")
re... | output | 1 | 42,015 | 22 | 84,031 |
Provide a correct Python 3 solution for this coding contest problem.
As the first step in algebra, students learn quadratic formulas and their factorization. Often, the factorization is a severe burden for them. A large number of students cannot master the factorization; such students cannot be aware of the elegance o... | instruction | 0 | 42,016 | 22 | 84,032 |
"Correct Solution:
```
import fractions
while True:
a, b, c = map(int, input().split())
if not a:
break
d = (b ** 2 - 4 * a * c) ** 0.5
if isinstance(d, complex) or d - int(d) > 1e-6:
print('Impossible')
continue
num1, num2 = -b + int(d), -b - int(d)
den = 2 * a
cmn1... | output | 1 | 42,016 | 22 | 84,033 |
Provide a correct Python 3 solution for this coding contest problem.
As the first step in algebra, students learn quadratic formulas and their factorization. Often, the factorization is a severe burden for them. A large number of students cannot master the factorization; such students cannot be aware of the elegance o... | instruction | 0 | 42,017 | 22 | 84,034 |
"Correct Solution:
```
# AOJ 1106: Factorization of Quadratic Formula
# Python3 2018.7.15 bal4u
def gcd(a, b):
while b != 0:
r = a % b
a, b = b, r
return a
while True:
a, b, c = map(int, input().split())
if a == 0: break
d = b**2-4*a*c
if d < 0: print("Impossible"); continue
d = d**0.5
if not d.is_integer... | output | 1 | 42,017 | 22 | 84,035 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As the first step in algebra, students learn quadratic formulas and their factorization. Often, the factorization is a severe burden for them. A large number of students cannot master the factor... | instruction | 0 | 42,018 | 22 | 84,036 |
No | output | 1 | 42,018 | 22 | 84,037 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
As the first step in algebra, students learn quadratic formulas and their factorization. Often, the factorization is a severe burden for them. A large number of students cannot master the factor... | instruction | 0 | 42,019 | 22 | 84,038 |
No | output | 1 | 42,019 | 22 | 84,039 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of 500000 integers (numbered from 1 to 500000). Initially all elements of a are zero.
You have to process two types of queries to this array:
* 1 x y — increase a_x by y;
* 2 x y — compute ∑_{i ∈ R(... | instruction | 0 | 42,176 | 22 | 84,352 |
Tags: brute force, data structures, implementation
Correct Solution:
```
# TAIWAN NUMBER ONE!!!!!!!!!!!!!!!!!!!
# TAIWAN NUMBER ONE!!!!!!!!!!!!!!!!!!!
# TAIWAN NUMBER ONE!!!!!!!!!!!!!!!!!!!
import sys
from sys import stdin, stdout
from collections import defaultdict
from collections import deque
import math
import copy... | output | 1 | 42,176 | 22 | 84,353 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash likes playing with arrays. He has an array a1, a2, ... an of n integers. He likes to guess the greatest common divisor (gcd) of different segments of the array. Of course, sometimes the guess is not correct. However, Bash will be satisf... | instruction | 0 | 42,610 | 22 | 85,220 |
Tags: data structures, number theory
Correct Solution:
```
#!/usr/bin/env python3
import os
import sys
from atexit import register
from io import StringIO
from math import gcd
sys.stdin = StringIO(os.read(0, os.fstat(0).st_size).decode())
sys.stdout = StringIO()
register(lambda: os.write(1, sys.stdout.getvalue().encod... | output | 1 | 42,610 | 22 | 85,221 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash likes playing with arrays. He has an array a1, a2, ... an of n integers. He likes to guess the greatest common divisor (gcd) of different segments of the array. Of course, sometimes the guess is not correct. However, Bash will be satisf... | instruction | 0 | 42,611 | 22 | 85,222 |
Tags: data structures, number theory
Correct Solution:
```
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in f... | output | 1 | 42,611 | 22 | 85,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bash likes playing with arrays. He has an array a1, a2, ... an of n integers. He likes to guess the greatest common divisor (gcd) of different segments of the array. Of course, sometimes the gue... | instruction | 0 | 42,612 | 22 | 85,224 |
No | output | 1 | 42,612 | 22 | 85,225 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bash likes playing with arrays. He has an array a1, a2, ... an of n integers. He likes to guess the greatest common divisor (gcd) of different segments of the array. Of course, sometimes the gue... | instruction | 0 | 42,613 | 22 | 85,226 |
No | output | 1 | 42,613 | 22 | 85,227 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bash likes playing with arrays. He has an array a1, a2, ... an of n integers. He likes to guess the greatest common divisor (gcd) of different segments of the array. Of course, sometimes the gue... | instruction | 0 | 42,614 | 22 | 85,228 |
No | output | 1 | 42,614 | 22 | 85,229 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The weather is fine today and hence it's high time to climb the nearby pine and enjoy the landscape.
The pine's trunk includes several branches, located one above another and numbered from 2 to y. Some of them (more precise, from 2 to p) ar... | instruction | 0 | 42,620 | 22 | 85,240 |
Tags: brute force, math, number theory
Correct Solution:
```
from math import sqrt
def modpow(a, prime, mod):
if prime == 1:
return a % mod
if mod % 2 == 1:
return (a * modpow(a, prime - 1, mod)) % mod
return ((modpow(a, prime/2, mod)) * (modpow(a, prime/2, mod))) % mod
def isPrime(prime):... | output | 1 | 42,620 | 22 | 85,241 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The weather is fine today and hence it's high time to climb the nearby pine and enjoy the landscape.
The pine's trunk includes several branches, located one above another and numbered from 2 to... | instruction | 0 | 42,630 | 22 | 85,260 |
No | output | 1 | 42,630 | 22 | 85,261 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,961 | 22 | 85,922 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
#!/usr/bin/env python3
#
# NC113552 - Steps to One
#
import sys, os, math, re, time, random, copy, shutil, itertools, functools, heapq
from bisect import bisect_left, bisect_right
from collections import deque, defaultdict, Counter, OrderedDict
MOD = i... | output | 1 | 42,961 | 22 | 85,923 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,962 | 22 | 85,924 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
from fractions import Fraction
g = [0]*111111
t = [0]*111111
prime = [0]*111111
pm = [0]*111111
for i in range(len(prime)):
prime[i] = {}
def gcd(a, b):
if b == 0:
return a
return gcd(b, a % b)
def ksm(a, b, p=int(1e9+7)):
a... | output | 1 | 42,962 | 22 | 85,925 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,963 | 22 | 85,926 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
M=1000000007
m=int(input())
def get_prm_fctrs(n):
p=2
factors=[]
while p*p<=n:
if n%p==0:
factors.append(p)
while n%p==0: n//=p
p+=1
if n>1: factors.append(n)
return factors
def get_n_coprimes(n,m)... | output | 1 | 42,963 | 22 | 85,927 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,964 | 22 | 85,928 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
from math import floor
from functools import reduce
MOD = floor(1e9+7)
expected_len = [0, 1]
n = int(input())
factors = [[] for i in range(n+1)]
prime_factors = [[] for i in range(n+1)]
def ext_euclid(a, b):
if b == 0:
return 1, 0, a
... | output | 1 | 42,964 | 22 | 85,929 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,965 | 22 | 85,930 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
def ksm(a, b, p):
a = a%p
b = b % (p-1)
res = 1
mul = a
while b>0:
if b%2==1:
res = res*mul%p
mul = mul*mul%p
b //= 2
return res
def inv(a,p=int(1e9+7)):
a = (a%p + p)%p
return ksm(a,p... | output | 1 | 42,965 | 22 | 85,931 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,966 | 22 | 85,932 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
max_n=10**5+1
spf=[i for i in range(max_n)]
prime=[True for i in range(max_n)]
mobius=[0 for i in range(max_n)]
prime[0]=prime[1]=False
mobius[1]=1
primes=[]
for i in range(2,max_n):
if(prime[i]):
spf[i]=i
mobius[i]=-1
primes... | output | 1 | 42,966 | 22 | 85,933 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,967 | 22 | 85,934 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
mod = int(1e9+7)
def ksm(a: int, k: int) -> int:
res = 1
while k:
if k & 1:
res = (res * a) % mod
a = (a*a) % mod
k >>= 1
return res
m = int(input())
dp = [0 for i in range(m + 1)]
dp[1] = 0
ans = 0
in... | output | 1 | 42,967 | 22 | 85,935 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of a.
2. Compute the greatest common divisor o... | instruction | 0 | 42,968 | 22 | 85,936 |
Tags: dp, math, number theory, probabilities
Correct Solution:
```
M=1000000007
m=int(input())
def get_prm_fctrs(n):
p=2
factors=[]
while p*p<=n:
if n%p==0:
factors.append(p)
while n%p==0:
n//=p
p+=1
if n>1:
factors.append(n)
return factors
de... | output | 1 | 42,968 | 22 | 85,937 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,969 | 22 | 85,938 |
Yes | output | 1 | 42,969 | 22 | 85,939 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,970 | 22 | 85,940 |
Yes | output | 1 | 42,970 | 22 | 85,941 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,971 | 22 | 85,942 |
Yes | output | 1 | 42,971 | 22 | 85,943 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,972 | 22 | 85,944 |
Yes | output | 1 | 42,972 | 22 | 85,945 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,973 | 22 | 85,946 |
No | output | 1 | 42,973 | 22 | 85,947 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,974 | 22 | 85,948 |
No | output | 1 | 42,974 | 22 | 85,949 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,975 | 22 | 85,950 |
No | output | 1 | 42,975 | 22 | 85,951 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vivek initially has an empty array a and some integer constant m.
He performs the following algorithm:
1. Select a random integer x uniformly in range from 1 to m and append it to the end of... | instruction | 0 | 42,976 | 22 | 85,952 |
No | output | 1 | 42,976 | 22 | 85,953 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Wu got hungry after an intense training session, and came to a nearby store to buy his favourite instant noodles. After Wu paid for his purchase, the cashier gave him an interesting task.
You are given a bipartite graph with positive intege... | instruction | 0 | 43,101 | 22 | 86,202 |
Tags: graphs, hashing, math, number theory
Correct Solution:
```
from bisect import bisect_left as bl
from bisect import bisect_right as br
import heapq
import math
from collections import *
from functools import reduce,cmp_to_key
import sys
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
M ... | output | 1 | 43,101 | 22 | 86,203 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Wu got hungry after an intense training session, and came to a nearby store to buy his favourite instant noodles. After Wu paid for his purchase, the cashier gave him an interesting task.
You are given a bipartite graph with positive intege... | instruction | 0 | 43,102 | 22 | 86,204 |
Tags: graphs, hashing, math, number theory
Correct Solution:
```
import io
import os
from math import gcd
from collections import deque, defaultdict, Counter
# TODO: Looked at editorial. I have no idea why this works.
def solve(N, M, C, edges):
graph = [[] for i in range(N)]
for l, r in edges:
graph[... | output | 1 | 43,102 | 22 | 86,205 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Fox Ciel studies number theory.
She thinks a non-empty set S contains non-negative integers is perfect if and only if for any <image> (a can be equal to b), <image>. Where operation xor means exclusive or operation (http://en.wikipedia.org/... | instruction | 0 | 43,321 | 22 | 86,642 |
Tags: math
Correct Solution:
```
from math import factorial
MOD = 10**9+7
k = int(input())
bink = list(map(int, bin(k)[2:]))
N = len(bink)
# dp[i][j][k] = first i bits, j bases,
# k = 1 if maxor matches k, 0 else
dp = [[[0,0] for j in range(i+2)] for i in range(N+1)]
dp[0][0][1] = 1
for i in range(1, N+1):
for ... | output | 1 | 43,321 | 22 | 86,643 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Fox Ciel studies number theory.
She thinks a non-empty set S contains non-negative integers is perfect if and only if for any <image> (a can be equal to b), <image>. Where operation xor means e... | instruction | 0 | 43,322 | 22 | 86,644 |
No | output | 1 | 43,322 | 22 | 86,645 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Fox Ciel studies number theory.
She thinks a non-empty set S contains non-negative integers is perfect if and only if for any <image> (a can be equal to b), <image>. Where operation xor means e... | instruction | 0 | 43,323 | 22 | 86,646 |
No | output | 1 | 43,323 | 22 | 86,647 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Fox Ciel studies number theory.
She thinks a non-empty set S contains non-negative integers is perfect if and only if for any <image> (a can be equal to b), <image>. Where operation xor means e... | instruction | 0 | 43,324 | 22 | 86,648 |
No | output | 1 | 43,324 | 22 | 86,649 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the divisors of N! (= 1 \times 2 \times ... \times N), how many Shichi-Go numbers (literally "Seven-Five numbers") are there?
Here, a Shichi-Go number is a positive integer that has exactly 75 divisors.
Constraints... | instruction | 0 | 43,624 | 22 | 87,248 |
"Correct Solution:
```
N = (int)(input())
e = [0] * (N+1)
for i in range(2, N+1):
cur = i
for j in range(2, i+1):
while cur % j == 0:
e[j] += 1
cur //= j
def num(m):
return len(list(filter(lambda x: x >= m-1, e)))
print(num(75) + num(25)*(num(3)-1) + num(15) *
(nu... | output | 1 | 43,624 | 22 | 87,249 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Among the divisors of N! (= 1 \times 2 \times ... \times N), how many Shichi-Go numbers (literally "Seven-Five numbers") are there?
Here, a Shichi-Go number is a positive integer that has exactly 75 divisors.
Constraints... | instruction | 0 | 43,625 | 22 | 87,250 |
"Correct Solution:
```
def num(m):
return len(list(filter(lambda x: x>=m-1, e)))
n = int(input())
e = [0]*(n+1)
for i in range(2,n+1):
t = i
for j in range(2,i+1):
while t%j == 0:
e[j] += 1
t //= j
print(num(75) + num(25) * (num(3) - 1) + num(15) * (num(5) - 1)+ num(5) * (n... | output | 1 | 43,625 | 22 | 87,251 |
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