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.
A pair of positive integers (a,b) is called special if β a/b β = a mod b. Here, β a/b β is the result of the integer division between a and b, while a mod b is its remainder.
You are given two ... | instruction | 0 | 46,510 | 22 | 93,020 |
No | output | 1 | 46,510 | 22 | 93,021 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A pair of positive integers (a,b) is called special if β a/b β = a mod b. Here, β a/b β is the result of the integer division between a and b, while a mod b is its remainder.
You are given two ... | instruction | 0 | 46,511 | 22 | 93,022 |
No | output | 1 | 46,511 | 22 | 93,023 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,721 | 22 | 93,442 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
n, m = map(int, input().split(" "))
counter = 0
for i in range(1, m+1):
no = i % 5
counter += (n+(i % 5))//5
print(counter)
``` | output | 1 | 46,721 | 22 | 93,443 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,722 | 22 | 93,444 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
x,y = map(int,input().split())
arx = []
ary = []
xx = x//5
arx = [xx,xx,xx,xx,xx]
for i in range(x%5):
arx[i] += 1
yy = y//5
ary = [yy,yy,yy,yy,yy]
for i in range(y%5):
ary[i] += 1
sum = 0
sum += arx[0]*ary[3]
sum += arx[1]*ary[2]
sum += a... | output | 1 | 46,722 | 22 | 93,445 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,723 | 22 | 93,446 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
n, m = map(int, input().split())
cnt = 0
N = 5 * int(1e5)
for k in range(N):
c = k * 5
Max = min(n, c - 1)
Min = max(1, c - m)
if Max >= c - m and Min <= c - 1:
cnt += Max - Min + 1
print(cnt)
``` | output | 1 | 46,723 | 22 | 93,447 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,724 | 22 | 93,448 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
n,m = list(map(int,input().split()))
cm = {}
cn = {}
x = n//5
y = m//5
for i in range(5):
cm[i]=y
cn[i]=x
x = n%5
y = m%5
for i in range(1,x+1):
cn[i]+=1
for i in range(1,y+1):
cm[i]+=1
res = cm[0]*cn[0]
for i in range(1,5):
re... | output | 1 | 46,724 | 22 | 93,449 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,725 | 22 | 93,450 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
n,m = list(map(int,input().split()))
S=0
for i in range(1,n+1):
S+=((m-(5*(i//5)+5)+i)//5)+1
print(S)
``` | output | 1 | 46,725 | 22 | 93,451 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,726 | 22 | 93,452 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
n,m = [int(x) for x in input().split()]
freq1 = [0 for x in range(5)]
freq2 = [0 for x in range(5)]
for i in range(1,n+1):
freq1[i%5]+=1
for i in range(1,m+1):
freq2[i%5]+=1
c=0
for i in range(5):
c+= freq1[i%5]*freq2[abs(5-i)%5]
print... | output | 1 | 46,726 | 22 | 93,453 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,727 | 22 | 93,454 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
n, m = map(int, input().split())
nt = n // 5
mt = m // 5
nf = [nt] * 5
mf = [mt] * 5
for x in range((n % 5) + 1):
nf[x] += 1
for x in range((m % 5) + 1):
mf[x] += 1
nf[0] -= 1
mf[0] -= 1
ans = 0
for x in range(5):
y = (5 - x) % 5
... | output | 1 | 46,727 | 22 | 93,455 |
Provide tags and a correct Python 3 solution for this coding contest problem.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second containing integers from 1 to m. Now the girl wants... | instruction | 0 | 46,728 | 22 | 93,456 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
n, m = map(int, input().split(" "))
res = 0
print(sum((((i+1)%5+m)//5)*(n//5+1) for i in range(5) if n%5>=(i+1))+
sum((((i+1)%5+m)//5)*(n//5) for i in range(5) if n%5<(i+1)))
``` | output | 1 | 46,728 | 22 | 93,457 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,729 | 22 | 93,458 |
Yes | output | 1 | 46,729 | 22 | 93,459 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,730 | 22 | 93,460 |
Yes | output | 1 | 46,730 | 22 | 93,461 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,731 | 22 | 93,462 |
Yes | output | 1 | 46,731 | 22 | 93,463 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,732 | 22 | 93,464 |
Yes | output | 1 | 46,732 | 22 | 93,465 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,733 | 22 | 93,466 |
No | output | 1 | 46,733 | 22 | 93,467 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,734 | 22 | 93,468 |
No | output | 1 | 46,734 | 22 | 93,469 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,735 | 22 | 93,470 |
No | output | 1 | 46,735 | 22 | 93,471 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
After finishing eating her bun, Alyona came up with two integers n and m. She decided to write down two columns of integers β the first column containing integers from 1 to n and the second cont... | instruction | 0 | 46,736 | 22 | 93,472 |
No | output | 1 | 46,736 | 22 | 93,473 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,269 | 22 | 94,538 |
Tags: math, number theory
Correct Solution:
```
import math
n = int(input())
b = []
for i in range(n):
b.append(int(input()))
def lcm(a, b):
return abs(a*b) // math.gcd(a, b)
def sana(x):
i = 2
d = 1
b = 0
y = x
if x==1:
return 2
elif x==2:
return 5
else:
w... | output | 1 | 47,269 | 22 | 94,539 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,270 | 22 | 94,540 |
Tags: math, number theory
Correct Solution:
```
#!/usr/bin/env pypy
from __future__ import division, print_function
import os
import sys
from io import BytesIO, IOBase
from math import gcd
if sys.version_info[0] < 3:
from __builtin__ import xrange as range
from future_builtins import ascii, filter, hex, map,... | output | 1 | 47,270 | 22 | 94,541 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,271 | 22 | 94,542 |
Tags: math, number theory
Correct Solution:
```
import sys
import os.path
from collections import *
import math
import bisect
import heapq as hq
from fractions import Fraction
if (os.path.exists('input.txt')):
sys.stdin = open("input.txt", "r")
sys.stdout = open("output.txt", "w")
###########################... | output | 1 | 47,271 | 22 | 94,543 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,272 | 22 | 94,544 |
Tags: math, number theory
Correct Solution:
```
# import math
#
# for _ in range(int(input())):
# n, a, b = [int(i) for i in input().split()]
# m = b % a
# while True:
# if n <= 0:
# print('NO')
# break
# if n == 1:
# print('YES')
# break
# ... | output | 1 | 47,272 | 22 | 94,545 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,273 | 22 | 94,546 |
Tags: math, number theory
Correct Solution:
```
import sys
from math import gcd
def lcm(a,b):
return a*b//gcd(a,b)
input=sys.stdin.readline
t=int(input())
mod=10**9+7
f=[0]*45
f[1]=1
for i in range(2,45):
f[i]=lcm(f[i-1],i)
for _ in range(t):
n=int(input())
ans=0
for i in range(2,45):
r=n//f[i-1]-n//f[i]
... | output | 1 | 47,273 | 22 | 94,547 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,274 | 22 | 94,548 |
Tags: math, number theory
Correct Solution:
```
from math import *
#from bisect import *
#from collections import *
#from random import *
#from decimal import *"""
#from heapq import *
#from random import *
import sys
input=sys.stdin.readline
sys.setrecursionlimit(3*(10**5))
def inp():
return int(input())
def st():... | output | 1 | 47,274 | 22 | 94,549 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,275 | 22 | 94,550 |
Tags: math, number theory
Correct Solution:
```
import math
from sys import stdin, stdout
MOD = 10**9 + 7
dp = [1, 1, 2, 6, 12, 60, 60, 420, 840, 2520, 2520, 27720, 27720, 360360, 360360, 360360, 720720, 12252240, 12252240, 232792560, 232792560, 232792560, 232792560, 5354228880, 5354228880, 26771144400, 26771144400, 8... | output | 1 | 47,275 | 22 | 94,551 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The first line contains a single integer t (1β€ tβ€ 10^4... | instruction | 0 | 47,276 | 22 | 94,552 |
Tags: math, number theory
Correct Solution:
```
import math
for _ in range(int(input())):
n = int(input())
s = 1
i = 2
ans = n
while s <= n:
ans += n//s
s = i*s//math.gcd(i,s)
i += 1
#print(s,i)
print(ans%(10**9+7))
``` | output | 1 | 47,276 | 22 | 94,553 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,277 | 22 | 94,554 |
Yes | output | 1 | 47,277 | 22 | 94,555 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,278 | 22 | 94,556 |
Yes | output | 1 | 47,278 | 22 | 94,557 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,279 | 22 | 94,558 |
Yes | output | 1 | 47,279 | 22 | 94,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,280 | 22 | 94,560 |
Yes | output | 1 | 47,280 | 22 | 94,561 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,281 | 22 | 94,562 |
No | output | 1 | 47,281 | 22 | 94,563 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,282 | 22 | 94,564 |
No | output | 1 | 47,282 | 22 | 94,565 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,283 | 22 | 94,566 |
No | output | 1 | 47,283 | 22 | 94,567 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(i) denote the minimum positive integer x such that x is not a divisor of i.
Compute β_{i=1}^n f(i) modulo 10^9+7. In other words, compute f(1)+f(2)+...+f(n) modulo 10^9+7.
Input
The fir... | instruction | 0 | 47,284 | 22 | 94,568 |
No | output | 1 | 47,284 | 22 | 94,569 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,317 | 22 | 94,634 |
Tags: brute force
Correct Solution:
```
from math import sqrt
n,m=list(map(int,input().split()))
c=0
for i in range(int(sqrt(n))+1):
if (n-i**2)**2 + i == m:
c+=1
print(c)
``` | output | 1 | 47,317 | 22 | 94,635 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,318 | 22 | 94,636 |
Tags: brute force
Correct Solution:
```
import math
l = list(map(int,input().split()))
n,m = l[0],l[1]
A = min(m,int(math.sqrt(n)))
c = 0
for a in range(A+1):
if a+(n-a**2)**2 == m:
c = c+1
print(c)
``` | output | 1 | 47,318 | 22 | 94,637 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,319 | 22 | 94,638 |
Tags: brute force
Correct Solution:
```
c = 0
n, m = map(int,input().split())
for a in range(32):
for b in range(32):
if a*a+b == n and a+b*b == m:
c += 1
print(c)
``` | output | 1 | 47,319 | 22 | 94,639 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,320 | 22 | 94,640 |
Tags: brute force
Correct Solution:
```
import math
n, m = map(int, input().split())
ris = 0
for b in range(0, min([int(math.sqrt(m))+1, n+1])):
if b**4-2*m*b**2+b+m**2-n == 0:
tmp = n-b
if tmp >= 0:
tmp = math.sqrt(tmp)
if tmp == int(tmp):
ris +=1
print(ris)... | output | 1 | 47,320 | 22 | 94,641 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,321 | 22 | 94,642 |
Tags: brute force
Correct Solution:
```
import math
km = input()
count = 0
z = km.split()
n = int(z[0])
m = int(z[1])
a = int(math.sqrt(n))
b = 0
if(a*a != n):
b = n - (a*a)
if(a + (b*b) == m):
count += 1
bb = int(math.sqrt(m))
aa = 0
if(bb*bb != m):
aa = m - (bb*bb)
if((aa*aa) + bb == n):
if(aa == a an... | output | 1 | 47,321 | 22 | 94,643 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,322 | 22 | 94,644 |
Tags: brute force
Correct Solution:
```
n,m = map(int,input().split())
v,z =[],0
for i in range(m+1):
if i*i>m:break
a = m-i*i
v.append([a,i])
for i in v:
if i[0]**2 + i[1] ==n:z+=1
print(z)
``` | output | 1 | 47,322 | 22 | 94,645 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,323 | 22 | 94,646 |
Tags: brute force
Correct Solution:
```
n, m = map(int, input().split())
count = 0
k=int((n+m)**(1/2)) + 2
for a in range(0, k):
for b in range(0, k):
if a**2+b==n and b**2+a==m:
count+=1
print(count)
``` | output | 1 | 47,323 | 22 | 94,647 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are g... | instruction | 0 | 47,324 | 22 | 94,648 |
Tags: brute force
Correct Solution:
```
n,m = map(int,input().split())
cnt = 0
for i in range(1001):
for j in range(1001):
if i**2+j==n and i+j**2==m:
cnt+=1
print(cnt)
``` | output | 1 | 47,324 | 22 | 94,649 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 β€ l β€ r β€ n) such that <image>. In other words each wool sequence contains a subsequence of consecu... | instruction | 0 | 47,333 | 22 | 94,666 |
Tags: constructive algorithms, math
Correct Solution:
```
MOD = 10**9 + 9
n,m = map(int, input().split())
p = pow(2,m,MOD)
ans = 1
for i in range(1,n+1): ans = (ans * (p-i)) % MOD
print(ans)
``` | output | 1 | 47,333 | 22 | 94,667 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 β€ l β€ r β€ n) such that <image>. In other words each wool sequence contains a subsequence of consecu... | instruction | 0 | 47,334 | 22 | 94,668 |
Tags: constructive algorithms, math
Correct Solution:
```
a,b=map(int,input().split())
ans=1;mod=1000000009;gh=pow(2,b,mod)
for i in range(1,1+a):ans=(ans*(gh-i))%mod
print(ans)
``` | output | 1 | 47,334 | 22 | 94,669 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 β€ l β€ r β€ n) such that <image>. In other words each wool sequence contains a subsequence of consecu... | instruction | 0 | 47,335 | 22 | 94,670 |
Tags: constructive algorithms, math
Correct Solution:
```
n,m=map(int,input().split());MOD=1000000009;o=1;m=pow(2,m,MOD)-1
for i in range(n):o=o*(m-i)%MOD
print(o)
# Made By Mostafa_Khaled
``` | output | 1 | 47,335 | 22 | 94,671 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 β€ l β€ r β€ n) such that <image>. In other words each wool sequence contains a subsequence of consecu... | instruction | 0 | 47,336 | 22 | 94,672 |
Tags: constructive algorithms, math
Correct Solution:
```
n, m = map(int, input().split())
MOD = 10 ** 9 + 9
ans = pow(2, m, MOD) - 1
step = pow(2, m, MOD) - 2
for i in range(n - 1):
ans = (ans * step) % MOD
step -= 1
while ans < 0:
ans += MOD
while ans >= MOD:
ans -= MOD
print(ans)
``` | output | 1 | 47,336 | 22 | 94,673 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 β€ l β€ r β€ n) such that <image>. In other words each wool sequence contains a subsequence of consecu... | instruction | 0 | 47,338 | 22 | 94,676 |
Tags: constructive algorithms, math
Correct Solution:
```
MOD = int(1e9+9)
def fast_power(b, e):
res = 1
while e:
if e % 2 == 1:
res = res * b % MOD
b = b * b % MOD
e >>= 1
return res
n, m = map(int, input().split())
a = fast_power(2, m) - 1
a = (a + MOD) % MOD
b = a -... | output | 1 | 47,338 | 22 | 94,677 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 β€ l β€ r β€ n) such that <image>. In other words each wool sequence contains a subsequence of consecu... | instruction | 0 | 47,339 | 22 | 94,678 |
Tags: constructive algorithms, math
Correct Solution:
```
n, m = map(int, input().split())
mod = 1000000009
upper = pow(2, m, mod)
s = 1
for i in range(0, n):
s = (s * (upper - i - 1)) % mod
print(s)
``` | output | 1 | 47,339 | 22 | 94,679 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A sequence of non-negative integers a1, a2, ..., an of length n is called a wool sequence if and only if there exists two integers l and r (1 β€ l β€ r β€ n) such that <image>. In other words each wool sequence contains a subsequence of consecu... | instruction | 0 | 47,340 | 22 | 94,680 |
Tags: constructive algorithms, math
Correct Solution:
```
n, m = map(int, input().split())
MOD = 10 ** 9 + 9
out = 1
curr = pow(2, m, MOD) - 1
for i in range(n):
out *= curr
curr -= 1
out %= MOD
print(out)
``` | output | 1 | 47,340 | 22 | 94,681 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little Petya was given this problem for homework:
You are given function <image> (here <image> represents the operation of taking the remainder). His task is to count the number of integers x in range [a;b] with property f(x) = x.
It is a ... | instruction | 0 | 47,534 | 22 | 95,068 |
Tags: implementation, number theory
Correct Solution:
```
p1, p2, p3, p4, a, b = map(int, input().split())
m = min(p1, p2, p3, p4)
if m > b:
print(b - a + 1)
else:
print(m - a if m - a > 0 else 0)
``` | output | 1 | 47,534 | 22 | 95,069 |
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