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.
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 | 47,535 | 22 | 95,070 |
Tags: implementation, number theory
Correct Solution:
```
# bsdk idhar kya dekhne ko aaya hai, khud kr!!!
# import math
from itertools import *
# import random
# import calendar
# import datetime
# import webbrowser
def function(x, lst):
permu = permutations(lst, len(lst))
count_ = 0
for i in permu:
... | output | 1 | 47,535 | 22 | 95,071 |
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 | 47,536 | 22 | 95,072 |
Tags: implementation, number theory
Correct Solution:
```
from itertools import permutations
def compute(p1,p2,p3,p4,x):
return (((x % p1)%p2)%p3)%p4
def solve(p1,p2,p3,p4,a,b):
per = list(permutations([p1,p2,p3,p4]))
count = 0
for i in range(a,b+1):
temp = 0
for j in per:
... | output | 1 | 47,536 | 22 | 95,073 |
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 | 47,537 | 22 | 95,074 |
Tags: implementation, number theory
Correct Solution:
```
# cook your dish here
from sys import stdin,stdout
from collections import Counter
from itertools import permutations
I=lambda: map(int,stdin.readline().split())
I1=lambda: stdin.readline()
p1,p2,p3,p4,a,b=I()
l=list(permutations([p1,p2,p3,p4]))
ans=0
for i in ... | output | 1 | 47,537 | 22 | 95,075 |
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 | 47,538 | 22 | 95,076 |
Tags: implementation, number theory
Correct Solution:
```
a,b,c,d,x,y=map(int,input().split())
if x>=min(a,b,c,d):
print(0)
else:
print(min(min(a,b,c,d),y+1)-x)
``` | output | 1 | 47,538 | 22 | 95,077 |
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 | 47,539 | 22 | 95,078 |
Tags: implementation, number theory
Correct Solution:
```
import math
p1,p2,p3,p4,a,b=map(int,input().split())
c=0
for i in range(a,b+1):
if (((i%p1)%p2)%p3)%p4==i:
c+=1
print (c)
``` | output | 1 | 47,539 | 22 | 95,079 |
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 | 47,540 | 22 | 95,080 |
Tags: implementation, number theory
Correct Solution:
```
def readln(): return tuple(map(int, input().split()))
inp = readln()
mod = min(inp[:4])
print(len([_ for _ in range(inp[4], inp[5] + 1) if _ < mod]))
``` | output | 1 | 47,540 | 22 | 95,081 |
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 | 47,541 | 22 | 95,082 |
Tags: implementation, number theory
Correct Solution:
```
l=list(map(int,input().split()))
x=min(l[:4])
if x>l[5]:
print(l[5]-l[4]+1)
elif x>=l[4]:
print(x-l[4])
else:
print("0")
``` | output | 1 | 47,541 | 22 | 95,083 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,542 | 22 | 95,084 |
Yes | output | 1 | 47,542 | 22 | 95,085 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,543 | 22 | 95,086 |
Yes | output | 1 | 47,543 | 22 | 95,087 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,544 | 22 | 95,088 |
Yes | output | 1 | 47,544 | 22 | 95,089 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,545 | 22 | 95,090 |
Yes | output | 1 | 47,545 | 22 | 95,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,546 | 22 | 95,092 |
No | output | 1 | 47,546 | 22 | 95,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,547 | 22 | 95,094 |
No | output | 1 | 47,547 | 22 | 95,095 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,548 | 22 | 95,096 |
No | output | 1 | 47,548 | 22 | 95,097 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
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 i... | instruction | 0 | 47,549 | 22 | 95,098 |
No | output | 1 | 47,549 | 22 | 95,099 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little penguin Polo adores integer segments, that is, pairs of integers [l; r] (l ≤ r).
He has a set that consists of n integer segments: [l1; r1], [l2; r2], ..., [ln; rn]. We know that no two segments of this set intersect. In one move Po... | instruction | 0 | 48,226 | 22 | 96,452 |
Tags: brute force, implementation
Correct Solution:
```
n, k= map(int,input().split())
r = 0
for i in range(n):
num = list(map(int,input().split()))
r += abs(num[0]-num[1])+1
if r % k == 0:
print(0)
else:
print((-r) % k)
``` | output | 1 | 48,226 | 22 | 96,453 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little penguin Polo adores integer segments, that is, pairs of integers [l; r] (l ≤ r).
He has a set that consists of n integer segments: [l1; r1], [l2; r2], ..., [ln; rn]. We know that no two segments of this set intersect. In one move Po... | instruction | 0 | 48,233 | 22 | 96,466 |
Tags: brute force, implementation
Correct Solution:
```
n,k = [int(i) for i in input().split()]
total = 0
for x in range(n):
l,r = [int(i) for i in input().split()]
total = total+(abs(l-r)+1)
count = 0
while total%k!=0:
total+=1
count+=1
print(count)
``` | output | 1 | 48,233 | 22 | 96,467 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there is integer j (l ≤ j ≤ r), such that all intege... | instruction | 0 | 48,258 | 22 | 96,516 |
Tags: binary search, brute force, data structures, math, two pointers
Correct Solution:
```
import math
#import math
#------------------------------warmup----------------------------
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self,... | output | 1 | 48,258 | 22 | 96,517 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there is integer j (l ≤ j ≤ r), such that all intege... | instruction | 0 | 48,259 | 22 | 96,518 |
Tags: binary search, brute force, data structures, math, two pointers
Correct Solution:
```
import math
class SegmentTree:
def __init__(self, data, default=0, func=lambda a,b:math.gcd(a,b)):
"""initialize the segment tree with data"""
self._default = default
self._func = func
self._... | output | 1 | 48,259 | 22 | 96,519 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there is integer j (l ≤ j ≤ r), such that all intege... | instruction | 0 | 48,260 | 22 | 96,520 |
Tags: binary search, brute force, data structures, math, two pointers
Correct Solution:
```
import math
# import collections
# from itertools import permutations
# from itertools import combinations
# import sys
# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w')
'''def is_prime(n):
j=2
... | output | 1 | 48,260 | 22 | 96,521 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there is integer j (l ≤ j ≤ r), such that all intege... | instruction | 0 | 48,261 | 22 | 96,522 |
Tags: binary search, brute force, data structures, math, two pointers
Correct Solution:
```
n = int(input()) + 1
t = [1] + list(map(int, input().split())) + [1]
p = [True] * n
s, q = 0, list(range(1, n))
for i in range(1, n):
if p[i]:
a = b = i
d = t[i]
if d == 1:
s, q = n - 2, ... | output | 1 | 48,261 | 22 | 96,523 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there... | instruction | 0 | 48,262 | 22 | 96,524 |
No | output | 1 | 48,262 | 22 | 96,525 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there... | instruction | 0 | 48,263 | 22 | 96,526 |
No | output | 1 | 48,263 | 22 | 96,527 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there... | instruction | 0 | 48,264 | 22 | 96,528 |
No | output | 1 | 48,264 | 22 | 96,529 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Simon has an array a1, a2, ..., an, consisting of n positive integers. Today Simon asked you to find a pair of integers l, r (1 ≤ l ≤ r ≤ n), such that the following conditions hold:
1. there... | instruction | 0 | 48,265 | 22 | 96,530 |
No | output | 1 | 48,265 | 22 | 96,531 |
Provide tags and a correct Python 2 solution for this coding contest problem.
You have an array of positive integers a[1], a[2], ..., a[n] and a set of bad prime numbers b1, b2, ..., bm. The prime numbers that do not occur in the set b are considered good. The beauty of array a is the sum <image>, where function f(s) ... | instruction | 0 | 48,282 | 22 | 96,564 |
Tags: dp, greedy, math, number theory
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
from fractions import gcd
raw_input = stdin.readline
pr = stdout.write
mod=10**9+7
def ni():
return int(raw_input())
def li():
... | output | 1 | 48,282 | 22 | 96,565 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,303 | 22 | 96,606 |
Tags: brute force, data structures, math
Correct Solution:
```
from sys import stdin
import math
from collections import defaultdict
input = stdin.readline
# n, k = map(int, input().split(" "))
# l = list(map(int, input().split(" ")))
n = int(input())
l = list(map(int, input().split(" ")))
d = defaultdict(int)
g =... | output | 1 | 48,303 | 22 | 96,607 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,304 | 22 | 96,608 |
Tags: brute force, data structures, math
Correct Solution:
```
import sys
from collections import defaultdict
from math import gcd, sqrt
MAX = pow(10, 5)
# stdin = open("testdata.txt", "r")
ip = sys.stdin
n = int(ip.readline())
a = list(map(int, ip.readline().split()))
gcd_count = defaultdict(int)
main_gcd = defaul... | output | 1 | 48,304 | 22 | 96,609 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,305 | 22 | 96,610 |
Tags: brute force, data structures, math
Correct Solution:
```
from sys import stdin
import math
from collections import defaultdict
input = stdin.readline
n = int(input())
arr = list(map(int, input().rstrip().split(" ")))
q = int(input())
d = defaultdict(lambda : 0)
current = defaultdict(lambda : 0)
# totalCount1 =... | output | 1 | 48,305 | 22 | 96,611 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,306 | 22 | 96,612 |
Tags: brute force, data structures, math
Correct Solution:
```
from math import gcd
from collections import defaultdict
from sys import stdin, stdout
##This method is better cause for all the same results we only calculate once
def main():
GCD_count = defaultdict(int)
GCD_map = defaultdict(int)
arr_len = i... | output | 1 | 48,306 | 22 | 96,613 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,307 | 22 | 96,614 |
Tags: brute force, data structures, math
Correct Solution:
```
import os, 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 fil... | output | 1 | 48,307 | 22 | 96,615 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,308 | 22 | 96,616 |
Tags: brute force, data structures, math
Correct Solution:
```
from sys import stdin
import math
from collections import defaultdict
input = stdin.readline
n = int(input())
arr = list(map(int, input().rstrip().split(" ")))
q = int(input())
d = defaultdict(lambda : 0)
current = defaultdict(lambda : 0)
for i in range... | output | 1 | 48,308 | 22 | 96,617 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,309 | 22 | 96,618 |
Tags: brute force, data structures, math
Correct Solution:
```
from os import path;import sys,time
mod = int(1e9 + 7)
from math import ceil, floor,gcd,log,log2 ,factorial,sqrt
from collections import defaultdict ,Counter , OrderedDict , deque;from itertools import combinations,permutations
# from string import ascii_lo... | output | 1 | 48,309 | 22 | 96,619 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi.
<image> is a greatest common divisor of v1, ... | instruction | 0 | 48,310 | 22 | 96,620 |
Tags: brute force, data structures, math
Correct Solution:
```
from bisect import insort,bisect_right,bisect_left
from sys import stdout, stdin, setrecursionlimit
from math import sqrt,ceil,floor,factorial,gcd
from io import BytesIO, IOBase
from collections import *
from itertools import *
from random import *
from st... | output | 1 | 48,310 | 22 | 96,621 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi... | instruction | 0 | 48,311 | 22 | 96,622 |
Yes | output | 1 | 48,311 | 22 | 96,623 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi... | instruction | 0 | 48,312 | 22 | 96,624 |
Yes | output | 1 | 48,312 | 22 | 96,625 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi... | instruction | 0 | 48,313 | 22 | 96,626 |
Yes | output | 1 | 48,313 | 22 | 96,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi... | instruction | 0 | 48,314 | 22 | 96,628 |
No | output | 1 | 48,314 | 22 | 96,629 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi... | instruction | 0 | 48,315 | 22 | 96,630 |
No | output | 1 | 48,315 | 22 | 96,631 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi... | instruction | 0 | 48,316 | 22 | 96,632 |
No | output | 1 | 48,316 | 22 | 96,633 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given a sequence of integers a1, ..., an and q queries x1, ..., xq on it. For each query xi you have to count the number of pairs (l, r) such that 1 ≤ l ≤ r ≤ n and gcd(al, al + 1, ..., ar) = xi... | instruction | 0 | 48,317 | 22 | 96,634 |
No | output | 1 | 48,317 | 22 | 96,635 |
Provide a correct Python 3 solution for this coding contest problem.
problem
One day, Sosusa, who loves prime numbers, was playing with the pair $ (p, q) $, where $ p + q $ is a prime number. Suddenly, Sosusa wondered how many of these pairs were prime numbers with $ p $ and $ q $ both less than or equal to $ N $. Fi... | instruction | 0 | 48,781 | 22 | 97,562 |
"Correct Solution:
```
def main():
n = int(input())
root = int(n ** (1 / 2)) + 1
isPrime = [True] * (n + 3)
for i in range(4, n + 3, 2):
isPrime[i] = False
ans = 0
prePrime = -1
for i in range(3, n + 3, 2):
if isPrime[i]:
if prePrime + 2 == i:
... | output | 1 | 48,781 | 22 | 97,563 |
Provide a correct Python 3 solution for this coding contest problem.
problem
One day, Sosusa, who loves prime numbers, was playing with the pair $ (p, q) $, where $ p + q $ is a prime number. Suddenly, Sosusa wondered how many of these pairs were prime numbers with $ p $ and $ q $ both less than or equal to $ N $. Fi... | instruction | 0 | 48,782 | 22 | 97,564 |
"Correct Solution:
```
import math
N = int(input())
P = [True for x in range(N + 3)]
P[0] = False
P[1] = False
for i in range(2, int(math.sqrt(N + 3)) + 1):
if P[i]:
for j in range(i * 2, N + 3, i):
P[j] = False
count = 0
for q in range(3, N + 1):
if P[q] and P[2 + q]:
count += ... | output | 1 | 48,782 | 22 | 97,565 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is an infinite set generated as follows:
* 1 is in this set.
* If x is in this set, x ⋅ a and x+b both are in this set.
For example, when a=3 and b=6, the five smallest elements of the set are:
* 1,
* 3 (1 is in this se... | instruction | 0 | 49,090 | 22 | 98,180 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
from math import gcd
def solve(a, b, n):
cur = 1
if a==1 and b==1:
return "Yes"
if n%b==1:
return "Yes"
if a==1:
return "No"
while cur <= n:
rem = n - cur
if rem % b == 0:
... | output | 1 | 49,090 | 22 | 98,181 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is an infinite set generated as follows:
* 1 is in this set.
* If x is in this set, x ⋅ a and x+b both are in this set.
For example, when a=3 and b=6, the five smallest elements of the set are:
* 1,
* 3 (1 is in this se... | instruction | 0 | 49,095 | 22 | 98,190 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
from math import *
from collections import deque
from copy import deepcopy
import sys
def inp(): return sys.stdin.readline().rstrip("\r\n") # for fast input
def multi(): return map(int, input().split())
def strmulti(): return map(str, inp().split... | output | 1 | 49,095 | 22 | 98,191 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is an infinite set generated as follows:
* 1 is in this set.
* If x is in this set, x ⋅ a and x+b both are in this set.
For example, when a=3 and b=6, the five smallest elements of the set are:
* 1,
* 3 (1 is in this se... | instruction | 0 | 49,096 | 22 | 98,192 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
def solve(): # n = a^x + b*b , hence n is in the set if (n - a^x) % b == 0
n,a,b = map(int,input().split())
if a == 1:
if (n-1)%b ==0:
print("YES")
else:
print("NO")
else:
curr = 1
flag = 0
while curr<=n :
if curr%b==n... | output | 1 | 49,096 | 22 | 98,193 |
Provide a correct Python 3 solution for this coding contest problem.
For a positive integer X, let f(X) be the number of positive divisors of X.
Given a positive integer N, find \sum_{K=1}^N K\times f(K).
Constraints
* 1 \leq N \leq 10^7
Input
Input is given from Standard Input in the following format:
N
Outp... | instruction | 0 | 49,397 | 22 | 98,794 |
"Correct Solution:
```
n=int(input())
ans=0
for i in range(1,n+1):
A=n//i
ans+=(A*(A+1)*i//2)
print(ans)
``` | output | 1 | 49,397 | 22 | 98,795 |
Provide a correct Python 3 solution for this coding contest problem.
For a positive integer X, let f(X) be the number of positive divisors of X.
Given a positive integer N, find \sum_{K=1}^N K\times f(K).
Constraints
* 1 \leq N \leq 10^7
Input
Input is given from Standard Input in the following format:
N
Outp... | instruction | 0 | 49,398 | 22 | 98,796 |
"Correct Solution:
```
n = int(input())
ans = 0
for i in range(1,n+1):
ans += n//i*(i+n//i*i)//2
print(ans)
``` | output | 1 | 49,398 | 22 | 98,797 |
Provide a correct Python 3 solution for this coding contest problem.
For a positive integer X, let f(X) be the number of positive divisors of X.
Given a positive integer N, find \sum_{K=1}^N K\times f(K).
Constraints
* 1 \leq N \leq 10^7
Input
Input is given from Standard Input in the following format:
N
Outp... | instruction | 0 | 49,399 | 22 | 98,798 |
"Correct Solution:
```
n=int(input())
ans = 0
for i in range(1, n+1):
a = n//i
ans += a*(a+1)//2*i
print(ans)
``` | output | 1 | 49,399 | 22 | 98,799 |
Provide a correct Python 3 solution for this coding contest problem.
For a positive integer X, let f(X) be the number of positive divisors of X.
Given a positive integer N, find \sum_{K=1}^N K\times f(K).
Constraints
* 1 \leq N \leq 10^7
Input
Input is given from Standard Input in the following format:
N
Outp... | instruction | 0 | 49,400 | 22 | 98,800 |
"Correct Solution:
```
n=int(input())
ans=0
for i in range(1,n+1):
w=n//i
ans+=i*w*(w+1)//2
print(ans)
``` | output | 1 | 49,400 | 22 | 98,801 |
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