message stringlengths 2 57.2k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 61 108k | cluster float64 22 22 | __index_level_0__ int64 122 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mod b) β ((x mod b) mod a). Calculate the answer ... | instruction | 0 | 6,732 | 22 | 13,464 |
Tags: math, number theory
Correct Solution:
```
import sys
from math import gcd
input=sys.stdin.readline
t=int(input())
for ii in range(t):
a,b,q=map(int,input().split())
c=a*b//gcd(a,b)
f=0
d=[0]
for i in range(c):
if (i%a)%b!=(i%b)%a:
f+=1
d.append(f)
ans=[]
for... | output | 1 | 6,732 | 22 | 13,465 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mod b) β ((x mod b) mod a). Calculate the answer ... | instruction | 0 | 6,733 | 22 | 13,466 |
Tags: math, number theory
Correct Solution:
```
from bisect import bisect_left as bl
from bisect import bisect_right as br
from heapq import heappush,heappop
import math
from collections import *
from functools import reduce,cmp_to_key
# import io, os
# input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
import... | output | 1 | 6,733 | 22 | 13,467 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mod b) β ((x mod b) mod a). Calculate the answer ... | instruction | 0 | 6,734 | 22 | 13,468 |
Tags: math, number theory
Correct Solution:
```
import sys
#
_INPUT_LINES = sys.stdin.read().splitlines()
input = iter(_INPUT_LINES).__next__
#
# range=xrange
from math import gcd
def go():
# n = int(input())
a,b,q = map(int, input().split())
# a, b = map(int, input().split())
g=a*b//gcd(a,b)
m=m... | output | 1 | 6,734 | 22 | 13,469 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mod b) β ((x mod b) mod a). Calculate the answer ... | instruction | 0 | 6,735 | 22 | 13,470 |
Tags: math, number theory
Correct Solution:
```
import math
def check(arr, a, b):
d = []
ll = a*b//math.gcd(a, b)
for i in range(1, ll+1):
if i%a%b != i%b%a:
d.append(1)
else:
d.append(0)
for i in range(1, len(d)):
if d[i] == 1:
d[i] =... | output | 1 | 6,735 | 22 | 13,471 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mod b) β ((x mod b) mod a). Calculate the answer ... | instruction | 0 | 6,736 | 22 | 13,472 |
Tags: math, number theory
Correct Solution:
```
'''
Auther: ghoshashis545 Ashis Ghosh
College: jalpaiguri Govt Enggineerin College
Date:26/04/2020
'''
from bisect import bisect,bisect_left,bisect_right,insort,insort_left,insort_right
from itertools import permutations
from datetime import datetime
from mat... | output | 1 | 6,736 | 22 | 13,473 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mod b) β ((x mod b) mod a). Calculate the answer ... | instruction | 0 | 6,737 | 22 | 13,474 |
Tags: math, number theory
Correct Solution:
```
from math import gcd
finaans=[]
for t in range(int(input())):
a,b,q=[int(x) for x in input().split()]
l=(a*b)//gcd(a,b)
ans=[]
for k in range(q):
q1,q2=[int(x) for x in input().split()]
p=(q1-1)//l
q=q2//l
s1=q2-(q*max(a,b)+... | output | 1 | 6,737 | 22 | 13,475 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,738 | 22 | 13,476 |
Yes | output | 1 | 6,738 | 22 | 13,477 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,739 | 22 | 13,478 |
Yes | output | 1 | 6,739 | 22 | 13,479 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,740 | 22 | 13,480 |
Yes | output | 1 | 6,740 | 22 | 13,481 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,741 | 22 | 13,482 |
Yes | output | 1 | 6,741 | 22 | 13,483 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,742 | 22 | 13,484 |
No | output | 1 | 6,742 | 22 | 13,485 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,743 | 22 | 13,486 |
No | output | 1 | 6,743 | 22 | 13,487 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,744 | 22 | 13,488 |
No | output | 1 | 6,744 | 22 | 13,489 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i β€ x β€ r_i, and ((x mod a) mo... | instruction | 0 | 6,745 | 22 | 13,490 |
No | output | 1 | 6,745 | 22 | 13,491 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
John Doe offered his sister Jane Doe find the gcd of some set of numbers a.
Gcd is a positive integer g, such that all number from the set are evenly divisible by g and there isn't such g' (g' ... | instruction | 0 | 6,973 | 22 | 13,946 |
No | output | 1 | 6,973 | 22 | 13,947 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
John Doe offered his sister Jane Doe find the gcd of some set of numbers a.
Gcd is a positive integer g, such that all number from the set are evenly divisible by g and there isn't such g' (g' ... | instruction | 0 | 6,974 | 22 | 13,948 |
No | output | 1 | 6,974 | 22 | 13,949 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
John Doe offered his sister Jane Doe find the gcd of some set of numbers a.
Gcd is a positive integer g, such that all number from the set are evenly divisible by g and there isn't such g' (g' ... | instruction | 0 | 6,975 | 22 | 13,950 |
No | output | 1 | 6,975 | 22 | 13,951 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
John Doe offered his sister Jane Doe find the gcd of some set of numbers a.
Gcd is a positive integer g, such that all number from the set are evenly divisible by g and there isn't such g' (g' ... | instruction | 0 | 6,976 | 22 | 13,952 |
No | output | 1 | 6,976 | 22 | 13,953 |
Provide a correct Python 3 solution for this coding contest problem.
A set of four prime numbers arranged like (a, a + 2, a + 6, a + 8) is called a quadruplet prime number. Of the four prime numbers that make up a quadruplet prime, the largest number is called the size of the quadruplet prime. For example, the smalles... | instruction | 0 | 7,436 | 22 | 14,872 |
"Correct Solution:
```
# AOJ 0222 Prime Quadruplet
# Python3 2018.6.23 bal4u
# From Wekipedia (https://en.wikipedia.org/wiki/Prime_quadruplet)
# All prime quadruplets except {5, 7, 11, 13} are of the form
# {30n + 11, 30n + 13, 30n + 17, 30n + 19} for some integer n.
MAX = 899
diff = (0,3,3,21,22,13,7,39,7,73, \
126,1... | output | 1 | 7,436 | 22 | 14,873 |
Provide a correct Python 3 solution for this coding contest problem.
A set of four prime numbers arranged like (a, a + 2, a + 6, a + 8) is called a quadruplet prime number. Of the four prime numbers that make up a quadruplet prime, the largest number is called the size of the quadruplet prime. For example, the smalles... | instruction | 0 | 7,437 | 22 | 14,874 |
"Correct Solution:
```
# AOJ 0222 Prime Quadruplet
# Python3 2018.6.23 bal4u
# From Wekipedia (https://en.wikipedia.org/wiki/Prime_quadruplet)
# All prime quadruplets except {5, 7, 11, 13} are of the form
# {30n + 11, 30n + 13, 30n + 17, 30n + 19} for some integer n.
MAX = 899
diff = (0,3,3,21,22,13,7,39,7,73, \
126,1... | output | 1 | 7,437 | 22 | 14,875 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A set of four prime numbers arranged like (a, a + 2, a + 6, a + 8) is called a quadruplet prime number. Of the four prime numbers that make up a quadruplet prime, the largest number is called th... | instruction | 0 | 7,438 | 22 | 14,876 |
No | output | 1 | 7,438 | 22 | 14,877 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A set of four prime numbers arranged like (a, a + 2, a + 6, a + 8) is called a quadruplet prime number. Of the four prime numbers that make up a quadruplet prime, the largest number is called th... | instruction | 0 | 7,439 | 22 | 14,878 |
No | output | 1 | 7,439 | 22 | 14,879 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A set of four prime numbers arranged like (a, a + 2, a + 6, a + 8) is called a quadruplet prime number. Of the four prime numbers that make up a quadruplet prime, the largest number is called th... | instruction | 0 | 7,440 | 22 | 14,880 |
No | output | 1 | 7,440 | 22 | 14,881 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A set of four prime numbers arranged like (a, a + 2, a + 6, a + 8) is called a quadruplet prime number. Of the four prime numbers that make up a quadruplet prime, the largest number is called th... | instruction | 0 | 7,441 | 22 | 14,882 |
No | output | 1 | 7,441 | 22 | 14,883 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,719 | 22 | 15,438 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
t=int(input())
for i in range(t):
l,r=map(int,input().split())
rem=r%l
if (r-rem)!=l:
print(l,r-rem)
else:
print(-1,-1)
``` | output | 1 | 7,719 | 22 | 15,439 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,720 | 22 | 15,440 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
t = int(input())
while(t!=0):
temp = input()
l,r = temp.split()
l = int(l)
r = int(r)
x = -1
y = -1
if r>= 2*l:
x, y = l, 2*l
print(x,y)
t-=1
``` | output | 1 | 7,720 | 22 | 15,441 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,721 | 22 | 15,442 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
from collections import Counter
tests = int(input())
for _ in range(tests):
l, r = map(int, input().split())
# arr = [int(a) for a in input().strip().split(' ')]
x = l
y = 2*l
if y <= r:
print(x, y)
else:
... | output | 1 | 7,721 | 22 | 15,443 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,722 | 22 | 15,444 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
def calcMinorLCM(a, b, results):
if b < a*2:
results.append(-1)
results.append(-1)
else:
results.append(a)
results.append(a*2)
t = int(input())
results = []
for i in range(t):
[a, b] = list(map... | output | 1 | 7,722 | 22 | 15,445 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,723 | 22 | 15,446 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
t = int(input())
for _ in range(t):
l, r = [int(s) for s in input().split()]
if r < l + l:
print(-1, -1)
else:
print(l, l + l)
``` | output | 1 | 7,723 | 22 | 15,447 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,724 | 22 | 15,448 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
t=int(input())
for _ in range(t):
l,r=map(int,input().split())
if r>=2*l:
print(l,2*l)
else:
print(-1,-1)
``` | output | 1 | 7,724 | 22 | 15,449 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,725 | 22 | 15,450 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
t = int(input())
for _ in range(t):
l,r = map(int, input().split())
x, y = l, l*2
if y > r:
print(-1, -1)
else:
print(x, y)
``` | output | 1 | 7,725 | 22 | 15,451 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y such that l β€ x < y β€ r and l β€ LCM(x, y) β€ r.
I... | instruction | 0 | 7,726 | 22 | 15,452 |
Tags: constructive algorithms, greedy, math, number theory
Correct Solution:
```
for _ in range(int(input())):
L, R = map(int, input().split())
if 2*L > R:
print(-1, -1)
else:
print(L, 2*L)
``` | output | 1 | 7,726 | 22 | 15,453 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,727 | 22 | 15,454 |
Yes | output | 1 | 7,727 | 22 | 15,455 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,728 | 22 | 15,456 |
Yes | output | 1 | 7,728 | 22 | 15,457 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,729 | 22 | 15,458 |
Yes | output | 1 | 7,729 | 22 | 15,459 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,730 | 22 | 15,460 |
Yes | output | 1 | 7,730 | 22 | 15,461 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,731 | 22 | 15,462 |
No | output | 1 | 7,731 | 22 | 15,463 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,732 | 22 | 15,464 |
No | output | 1 | 7,732 | 22 | 15,465 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,733 | 22 | 15,466 |
No | output | 1 | 7,733 | 22 | 15,467 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let LCM(x, y) be the minimum positive integer that is divisible by both x and y. For example, LCM(13, 37) = 481, LCM(9, 6) = 18.
You are given two integers l and r. Find two integers x and y su... | instruction | 0 | 7,734 | 22 | 15,468 |
No | output | 1 | 7,734 | 22 | 15,469 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" me... | instruction | 0 | 7,843 | 22 | 15,686 |
Tags: 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
input = sys.stdin.readline
# M = mod = 998244353
def factors(n):return sorted(set(reduce(list... | output | 1 | 7,843 | 22 | 15,687 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" me... | instruction | 0 | 7,844 | 22 | 15,688 |
Tags: math, number theory
Correct Solution:
```
# I've proven, that z takes form of 2 ** (k - 1) - 1,
# where 2 ** k - 1 is prime, which are called 'Mersenne primes'.
p = [2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127,\
521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689,\
9941, 11213, 19937, 21701, 23209, 44497... | output | 1 | 7,844 | 22 | 15,689 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" me... | instruction | 0 | 7,845 | 22 | 15,690 |
Tags: math, number theory
Correct Solution:
```
print([0,1,3,15,63,4095,65535,262143,73741816,536396503,140130950,487761805,319908070,106681874,373391776,317758023,191994803,416292236,110940209,599412198,383601260,910358878,532737550,348927936,923450985,470083777,642578561,428308066,485739298,419990027,287292016,202484... | output | 1 | 7,845 | 22 | 15,691 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" me... | instruction | 0 | 7,846 | 22 | 15,692 |
Tags: math, number theory
Correct Solution:
```
n=int(input())
p=[2,3,5,7,13,17,19,31,61,89,107,127,521,607,1279,2203,2281,3217,4253,4423,9689,9941,11213,19937,21701,23209,44497,86243,110503,132049,216091,756839,859433,1257787,1398269,2976221,3021377,6972593,13466917,20996011]
res=1
for i in range(p[n-1]-1):
res*=2... | output | 1 | 7,846 | 22 | 15,693 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" me... | instruction | 0 | 7,847 | 22 | 15,694 |
Tags: math, number theory
Correct Solution:
```
mercenes = [2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583,... | output | 1 | 7,847 | 22 | 15,695 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. The phrase "unsolvable in positive integers" me... | instruction | 0 | 7,848 | 22 | 15,696 |
Tags: math, number theory
Correct Solution:
```
mod = 10**9+7
a = [2,3,5,7,13,17,19,31,61,89,107,127,521,607,1279,2203,2281,3217,4253,4423,9689,9941,11213,19937,21701,23209,44497,86243,110503,132049,216091,756839,859433,1257787,1398269,2976221,3021377,6972593,13466917,20996011]
n = int(input())
print(pow(2,a[n-1]-1,mod... | output | 1 | 7,848 | 22 | 15,697 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. ... | instruction | 0 | 7,849 | 22 | 15,698 |
No | output | 1 | 7,849 | 22 | 15,699 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. ... | instruction | 0 | 7,850 | 22 | 15,700 |
No | output | 1 | 7,850 | 22 | 15,701 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. ... | instruction | 0 | 7,851 | 22 | 15,702 |
No | output | 1 | 7,851 | 22 | 15,703 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the following equation:
<image> where sign [a] represents the integer part of number a.
Let's find all integer z (z > 0), for which this equation is unsolvable in positive integers. ... | instruction | 0 | 7,852 | 22 | 15,704 |
No | output | 1 | 7,852 | 22 | 15,705 |
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