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.
Write a program which finds the greatest common divisor of two natural numbers a and b
Hint
You can use the following observation:
For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)... | instruction | 0 | 90,076 | 22 | 180,152 |
Yes | output | 1 | 90,076 | 22 | 180,153 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which finds the greatest common divisor of two natural numbers a and b
Hint
You can use the following observation:
For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)... | instruction | 0 | 90,077 | 22 | 180,154 |
Yes | output | 1 | 90,077 | 22 | 180,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which finds the greatest common divisor of two natural numbers a and b
Hint
You can use the following observation:
For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)... | instruction | 0 | 90,078 | 22 | 180,156 |
No | output | 1 | 90,078 | 22 | 180,157 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which finds the greatest common divisor of two natural numbers a and b
Hint
You can use the following observation:
For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)... | instruction | 0 | 90,079 | 22 | 180,158 |
No | output | 1 | 90,079 | 22 | 180,159 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which finds the greatest common divisor of two natural numbers a and b
Hint
You can use the following observation:
For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)... | instruction | 0 | 90,080 | 22 | 180,160 |
No | output | 1 | 90,080 | 22 | 180,161 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which finds the greatest common divisor of two natural numbers a and b
Hint
You can use the following observation:
For integers x and y, if x ≥ y, then gcd(x, y) = gcd(y, x%y)... | instruction | 0 | 90,081 | 22 | 180,162 |
No | output | 1 | 90,081 | 22 | 180,163 |
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 | 90,279 | 22 | 180,558 |
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 | 90,279 | 22 | 180,559 |
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 | 90,280 | 22 | 180,560 |
Tags: graphs, hashing, math, number theory
Correct Solution:
```
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
from math import gcd
t=int(input())
for tests in range(t):
n,m=map(int,input().split())
C=list(map(int,input().split()))
X=[[] for i in range(n+1)]
for k in range(... | output | 1 | 90,280 | 22 | 180,561 |
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 | 90,281 | 22 | 180,562 |
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 | 90,281 | 22 | 180,563 |
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 | 90,282 | 22 | 180,564 |
Tags: graphs, hashing, math, number theory
Correct Solution:
```
from collections import Counter
from sys import stdin
from math import gcd
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
T = int(input())
for _ in range(T):
n, m = map(int, input().split())
values = list(map(int, input().s... | output | 1 | 90,282 | 22 | 180,565 |
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 | 90,283 | 22 | 180,566 |
Tags: graphs, hashing, math, number theory
Correct Solution:
```
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
from math import gcd
t=int(input())
for tests in range(t):
n,m=map(int,input().split())
C=list(map(int,input().split()))
X=[[] for i in range(n+1)]
for k in range(... | output | 1 | 90,283 | 22 | 180,567 |
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 | 90,284 | 22 | 180,568 |
Tags: graphs, hashing, math, number theory
Correct Solution:
```
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
from collections import Counter
from math import gcd
t=int(input())
for tests in range(t):
n,m=map(int,input().split())
C=list(map(int,input().split()))
X=[[] for i in ... | output | 1 | 90,284 | 22 | 180,569 |
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 | 90,285 | 22 | 180,570 |
Tags: graphs, hashing, math, number theory
Correct Solution:
```
from sys import stdin
from math import gcd
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
T = int(input())
for _ in range(T):
n, m = map(int, input().split())
values = list(map(int, input().split()))
neigh_values = [0]*n
y... | output | 1 | 90,285 | 22 | 180,571 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Imp is really pleased that you helped him. But it you solve the last problem, his gladness would raise even more.
<image> Let's define <image> for some set of integers <image> as the number of ... | instruction | 0 | 90,658 | 22 | 181,316 |
No | output | 1 | 90,658 | 22 | 181,317 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Imp is really pleased that you helped him. But it you solve the last problem, his gladness would raise even more.
<image> Let's define <image> for some set of integers <image> as the number of ... | instruction | 0 | 90,659 | 22 | 181,318 |
No | output | 1 | 90,659 | 22 | 181,319 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Imp is really pleased that you helped him. But it you solve the last problem, his gladness would raise even more.
<image> Let's define <image> for some set of integers <image> as the number of ... | instruction | 0 | 90,661 | 22 | 181,322 |
No | output | 1 | 90,661 | 22 | 181,323 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,758 | 22 | 181,516 |
"Correct Solution:
```
from fractions import gcd
n=int(input())
a=list(map(int,input().split()))
l=[0]*(n)
for i in range(n-1):
l[i+1] = gcd(l[i],a[i])
r=[0]*(n)
for i in range(n-2,-1,-1):
r[i] = gcd(r[i+1],a[i+1])
print(max([gcd(r[i],l[i]) for i in range(n)]))
``` | output | 1 | 90,758 | 22 | 181,517 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,759 | 22 | 181,518 |
"Correct Solution:
```
import fractions
N = int(input())
A = list(map(int,input().split()))
L = [0] * N
R = [0] * N
for i in range(1, N):
L[i] = fractions.gcd(L[i-1], A[i-1])
R[-i-1] = fractions.gcd(R[-i], A[-i])
ans = [0] * N
for i in range(0, N):
ans[i] = fractions.gcd(L[i], R[i])
print(max(ans))
``... | output | 1 | 90,759 | 22 | 181,519 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,760 | 22 | 181,520 |
"Correct Solution:
```
import fractions
ans=0
f=[0]
g=[0]
N = int(input())
A = list(map(int,input().split()))
for i in range(N-1):
f.append(fractions.gcd(f[i],A[i]))
g.append(fractions.gcd(g[i],A[N-i-1]))
for i in range(N):
ans = max(ans,fractions.gcd(f[i],g[N-i-1]))
print(ans)
``` | output | 1 | 90,760 | 22 | 181,521 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,761 | 22 | 181,522 |
"Correct Solution:
```
from fractions import gcd
n=int(input())
a=list(map(int,input().split()))
l=[0]*(n+1)
r=[0]*(n+1)
for i in range(n):
l[i+1]=gcd(l[i],a[i])
for i in range(n-1,-1,-1):
r[i]=gcd(r[i+1],a[i])
ans=l[-1]
for i in range(n):
ans=max(ans,gcd(l[i],r[i+1]))
print(ans)
``` | output | 1 | 90,761 | 22 | 181,523 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,762 | 22 | 181,524 |
"Correct Solution:
```
from fractions import gcd
n = int(input())
A = list(map(int, input().split()))
m = []
left = [0]
right = [0]
for i in range(n):
left.append(gcd(left[i], A[i]))
right.append(gcd(right[i], A[n-i-1]))
for i in range(n):
m.append(gcd(left[i], right[n-i-1]))
print(max(m))
``` | output | 1 | 90,762 | 22 | 181,525 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,763 | 22 | 181,526 |
"Correct Solution:
```
n = int(input())
*a, = map(int, input().split())
def gcd(x, y):
return gcd(y, x%y) if y else x
l, r = [], []
for i in range(n):
l.append(gcd(l[i-1], a[i-1]) if i else 0)
r.append(gcd(r[i-1], a[n-i]) if i else 0)
print(max([gcd(l[i], r[n-i-1]) for i in range(n)]))
``` | output | 1 | 90,763 | 22 | 181,527 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,764 | 22 | 181,528 |
"Correct Solution:
```
import fractions
ans=1
n=int(input())
a=list(map(int,input().split()))
l=[0]
r=[0]
for i in range(n-1):
l.append(fractions.gcd(l[i],a[i]))
r.append(fractions.gcd(r[i],a[-(i+1)]))
for i in range(n):
c=fractions.gcd(l[i],r[-(i+1)])
if ans<c:
ans=c
print(ans)
``` | output | 1 | 90,764 | 22 | 181,529 |
Provide a correct Python 3 solution for this coding contest problem.
There are N integers, A_1, A_2, ..., A_N, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same as the integer originally written.
Find the maximum pos... | instruction | 0 | 90,765 | 22 | 181,530 |
"Correct Solution:
```
def gcd(a, b):
while b != 0:
a, b = b, a % b
return a
N = int(input())
A = list(map(int, input().split()))
L = [0]*(N+2)
R = [0]*(N+2)
ans = 0
for i in range(N):
L[i+1] = (gcd(L[i],A[i]))
R[N-i] = (gcd(R[N-i+1],A[N-1-i]))
for i in range(N):
ans = max(ans,(gcd(L[i], R[i+2])))
print(ans)
``... | output | 1 | 90,765 | 22 | 181,531 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,766 | 22 | 181,532 |
Yes | output | 1 | 90,766 | 22 | 181,533 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,767 | 22 | 181,534 |
Yes | output | 1 | 90,767 | 22 | 181,535 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,768 | 22 | 181,536 |
Yes | output | 1 | 90,768 | 22 | 181,537 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,769 | 22 | 181,538 |
Yes | output | 1 | 90,769 | 22 | 181,539 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,770 | 22 | 181,540 |
No | output | 1 | 90,770 | 22 | 181,541 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,771 | 22 | 181,542 |
No | output | 1 | 90,771 | 22 | 181,543 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,772 | 22 | 181,544 |
No | output | 1 | 90,772 | 22 | 181,545 |
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, written on the blackboard.
You will choose one of them and replace it with an integer of your choice between 1 and 10^9 (inclusive), possibly the same ... | instruction | 0 | 90,773 | 22 | 181,546 |
No | output | 1 | 90,773 | 22 | 181,547 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,813 | 22 | 181,626 |
"Correct Solution:
```
n=int(input())
a=[0]*(n+1)
ans=1
for i in range(2,n+1):
x=i
p=2
while x>1:
while x%p==0:
a[p]+=1
x//=p
p+=1
for i in a:
ans=(ans*(i+1))%(10**9+7)
print(ans)
``` | output | 1 | 90,813 | 22 | 181,627 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,814 | 22 | 181,628 |
"Correct Solution:
```
n = int(input())
dp = list(0 for _ in range(n+1))
for i in range(2,n+1):
#素因数分解の試し割り法
while i%2==0:
dp[2] += 1
i //= 2
f = 3
while f*f<=i:
if i%f==0:
dp[f] +=1
i //= f
else:
f += 2
if i!=1:
dp[i] += 1
#指数を数えていく
s = 1
for i in dp:
if i!=0:
s *... | output | 1 | 90,814 | 22 | 181,629 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,815 | 22 | 181,630 |
"Correct Solution:
```
import math
N = int(input())
m = math.factorial(N)
A = 1000*[1]
ans = 1
for n in range(2,1001):
while m%n==0:
m//=n
A[n]+=1
for a in A:
ans*=a
print(ans%(10**9+7))
``` | output | 1 | 90,815 | 22 | 181,631 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,816 | 22 | 181,632 |
"Correct Solution:
```
N = int(input())
F = {}
for n in range(2,N+1):
_n = n
f = 2
while f*f<=_n:
if n%f==0 and f not in F: F[f] = 0
while n%f==0:
n//=f
F[f]+=1
f+=1
if n>1:
if n not in F: F[n] = 0
F[n] += 1
ans = 1
mod = 10**9+7
for _, k ... | output | 1 | 90,816 | 22 | 181,633 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,817 | 22 | 181,634 |
"Correct Solution:
```
num = int(input())
cnt_list = [0] * (num+1)
ans = 1
for i in range(2,num+1):
x = i
prime = 2
while x > 1:
while x%prime == 0:
cnt_list[prime] += 1
x = x//prime
prime += 1
for i in cnt_list:
ans = (ans*(i+1)) % (10**9+7)
print(ans)
``` | output | 1 | 90,817 | 22 | 181,635 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,818 | 22 | 181,636 |
"Correct Solution:
```
n = int(input())
l = []
for i in range(1, n+1):
num = 2
while i != 1:
if i % num==0:
i //= num
l.append(num)
else:
num += 1
ans = 1
for i in set(l):
ans *= (l.count(i) + 1) % (10**9+7)
print(ans% (10**9+7))
``` | output | 1 | 90,818 | 22 | 181,637 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,819 | 22 | 181,638 |
"Correct Solution:
```
MOD = 10**9+7
max_n = 1000
n = int(input())
ans = 0
nums = [0]*(n+1)
for i in range(1,n+1):
v = i
j = 2
while v > 0 and i>=j:
if v%j==0:
nums[j] += 1
v = v//j
else:
j+=1
ans = 1
for i in range(n+1):
if nums[i] > 0:
ans *= (1+nums[i])
a... | output | 1 | 90,819 | 22 | 181,639 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer N. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the positive divisors of N!,... | instruction | 0 | 90,820 | 22 | 181,640 |
"Correct Solution:
```
N=int(input())
primes = [2,3,5,7,11,13,17,19,23,29,31,37]
mod=int(1e9+7)
memo={}
for n in range(1,N+1):
for p in primes:
while not n%p:
memo[p] = memo.get(p,0)+1
n=n//p
if n!=1:
memo[n] = memo.get(n,0)+1
#print(memo)
answer=1
for v in memo.values():
answer =answer * (... | output | 1 | 90,820 | 22 | 181,641 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,821 | 22 | 181,642 |
Yes | output | 1 | 90,821 | 22 | 181,643 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,822 | 22 | 181,644 |
Yes | output | 1 | 90,822 | 22 | 181,645 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,823 | 22 | 181,646 |
Yes | output | 1 | 90,823 | 22 | 181,647 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,824 | 22 | 181,648 |
Yes | output | 1 | 90,824 | 22 | 181,649 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,825 | 22 | 181,650 |
No | output | 1 | 90,825 | 22 | 181,651 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,826 | 22 | 181,652 |
No | output | 1 | 90,826 | 22 | 181,653 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,827 | 22 | 181,654 |
No | output | 1 | 90,827 | 22 | 181,655 |
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. Find the number of the positive divisors of N!, modulo 10^9+7.
Constraints
* 1≤N≤10^3
Input
The input is given from Standard Input in the following format:
N
... | instruction | 0 | 90,828 | 22 | 181,656 |
No | output | 1 | 90,828 | 22 | 181,657 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Everybody seems to think that the Martians are green, but it turns out they are metallic pink and fat. Ajs has two bags of distinct nonnegative integers. The bags are disjoint, and the union of the sets of numbers in the bags is \{0,1,…,M-1\... | instruction | 0 | 90,950 | 22 | 181,900 |
Tags: hashing, number theory
Correct Solution:
```
import sys
input = sys.stdin.readline
def main():
n, m = map(int, input().split())
a = list(map(int, input().split())) + [0]*500000
ans_S = 0
a[n] = a[0] + m
s = [0]*600600
for i in range(n):
s[i] = a[i + 1] - a[i]
s[n] = -1
for... | output | 1 | 90,950 | 22 | 181,901 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has number b. He is sorting through the numbers a from 1 to 10^{18}, and for every a writes ([a, b])/(a) on blackboard. Here [a, b] stands for least common multiple of a and b. Ivan is very lazy, that's why this task bored him soo... | instruction | 0 | 90,952 | 22 | 181,904 |
Tags: math, number theory
Correct Solution:
```
# x = int(input())
# m, n = map(int, input().split())
# nums = list(map(int, input().split()))
from math import *
b=int(input())
m=int(sqrt(b+1))
ans=0
for i in range(1,m+1):
if b%i==0:
ans+=2
if b/i==i:
ans-=1
print(ans)
... | output | 1 | 90,952 | 22 | 181,905 |
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