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.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a circle. Cypher can choose the initial order of... | instruction | 0 | 5,977 | 22 | 11,954 |
Tags: constructive algorithms, implementation, math, number theory
Correct Solution:
```
import sys
import math
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
def solve():
n = int(ii())
simple = []
dividers = []
slov = {}
for i in range(2, int(math.sqrt(n))... | output | 1 | 5,977 | 22 | 11,955 |
Provide tags and a correct Python 3 solution for this coding contest problem.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a circle. Cypher can choose the initial order of... | instruction | 0 | 5,978 | 22 | 11,956 |
Tags: constructive algorithms, implementation, math, number theory
Correct Solution:
```
from collections import defaultdict, deque
T = int(input())
for _ in range(T):
n = int(input())
d, p = defaultdict(int), 2
while p*p <= n:
while n % p == 0:
d[p], n = d[p]+1, n//p
p += 1
... | output | 1 | 5,978 | 22 | 11,957 |
Provide tags and a correct Python 3 solution for this coding contest problem.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a circle. Cypher can choose the initial order of... | instruction | 0 | 5,979 | 22 | 11,958 |
Tags: constructive algorithms, implementation, math, number theory
Correct Solution:
```
import random
from math import gcd, sqrt, floor, ceil
#__________________________________________________#
# brute force solution_____________________________#
def solve_1(n):
d = divisors(n)
order = [0] * len(d)
move... | output | 1 | 5,979 | 22 | 11,959 |
Provide tags and a correct Python 3 solution for this coding contest problem.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a circle. Cypher can choose the initial order of... | instruction | 0 | 5,980 | 22 | 11,960 |
Tags: constructive algorithms, implementation, math, number theory
Correct Solution:
```
'''
Auther: ghoshashis545 Ashis Ghosh
College: jalpaiguri Govt Enggineering College
'''
from os import path
import sys
from heapq import heappush,heappop
from functools import cmp_to_key as ctk
from collections import dequ... | output | 1 | 5,980 | 22 | 11,961 |
Provide tags and a correct Python 3 solution for this coding contest problem.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a circle. Cypher can choose the initial order of... | instruction | 0 | 5,981 | 22 | 11,962 |
Tags: constructive algorithms, implementation, math, number theory
Correct Solution:
```
# by the authority of GOD author: manhar singh sachdev #
import os,sys
from io import BytesIO, IOBase
from collections import Counter
def main():
for _ in range(int(input())):
n = int(input())
fac = Counte... | output | 1 | 5,981 | 22 | 11,963 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,982 | 22 | 11,964 |
Yes | output | 1 | 5,982 | 22 | 11,965 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,983 | 22 | 11,966 |
Yes | output | 1 | 5,983 | 22 | 11,967 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,984 | 22 | 11,968 |
Yes | output | 1 | 5,984 | 22 | 11,969 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,985 | 22 | 11,970 |
Yes | output | 1 | 5,985 | 22 | 11,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,986 | 22 | 11,972 |
No | output | 1 | 5,986 | 22 | 11,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,987 | 22 | 11,974 |
No | output | 1 | 5,987 | 22 | 11,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,988 | 22 | 11,976 |
No | output | 1 | 5,988 | 22 | 11,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An agent called Cypher is decrypting a message, that contains a [composite number](https://en.wikipedia.org/wiki/Composite_number) n. All divisors of n, which are greater than 1, are placed in a... | instruction | 0 | 5,989 | 22 | 11,978 |
No | output | 1 | 5,989 | 22 | 11,979 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,032 | 22 | 12,064 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
for t in range(int(input())):
a, b, c = map(int, input().split())
print("1" + "0" * (a - 1), "1" * (b - c + 1) + "0" * (c - 1))
``` | output | 1 | 6,032 | 22 | 12,065 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,033 | 22 | 12,066 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
for _ in range(int(input())):
a, b, c = map(int, input().split())
g = 7
while len(str(g)) < c: g *= 7
assert len(str(g)) == c
x = g
y = g
while len(str(x)) < a: x *= 2
while len(str(y)) < b: y *= 3
assert len(str(x)) == a
assert len(st... | output | 1 | 6,033 | 22 | 12,067 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,034 | 22 | 12,068 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
T=int(input())
for t in range(T):
a,b,c=[int(i) for i in input().split()]
gcd=10**(c-1)
x=gcd
lim=10**(a-1)
while x<lim or x<gcd:
x*=2
y=gcd
lim=10**(b-1)
while y<lim or y<gcd:
y*=3
print(x,y)
... | output | 1 | 6,034 | 22 | 12,069 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,035 | 22 | 12,070 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import time
#start_time = time.time()
#def TIME_(): print(time.time()-start_time)
import os, sys
from io import BytesIO, IOBase
from types import GeneratorType
from bisect import bisect_left, bisect_right
from collections import defaultdict as d... | output | 1 | 6,035 | 22 | 12,071 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,036 | 22 | 12,072 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
from sys import maxsize, stdout, stdin,stderr
mod = int(1e9 + 7)
def I(): return int(stdin.readline())
def lint(): return [int(x) for x in stdin.readline().split()]
def S(): return input().strip()
def grid(r, c): return [lint() for i in range(r)]
... | output | 1 | 6,036 | 22 | 12,073 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,037 | 22 | 12,074 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
t = int(input())
for _ in range(t):
a,b,c = map(int, input().split())
a = a-1
b = b-1
c = c-1
x = 10**a
y = (10**b) + (10**c)
print(x,y)
``` | output | 1 | 6,037 | 22 | 12,075 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,038 | 22 | 12,076 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
import os
from io import BytesIO, IOBase
import sys
import math
def main():
for i in range(int(input())):
a,b,c=map(int,input().split())
a1=1
b1=1
c1=1
while len(str(c1))<c:
c1=c1*2
a1=a1*2
... | output | 1 | 6,038 | 22 | 12,077 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the decimal representation of y without leading ze... | instruction | 0 | 6,039 | 22 | 12,078 |
Tags: constructive algorithms, math, number theory
Correct Solution:
```
#rOkY
#FuCk
############################### kOpAl ##################################
t=int(input())
while(t>0):
a,b,c=map(int,input().split())
x=1
y=1
while(len(str(x))!=c):
if(len(str(x))==c):
break
x... | output | 1 | 6,039 | 22 | 12,079 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,040 | 22 | 12,080 |
Yes | output | 1 | 6,040 | 22 | 12,081 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,041 | 22 | 12,082 |
Yes | output | 1 | 6,041 | 22 | 12,083 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,042 | 22 | 12,084 |
Yes | output | 1 | 6,042 | 22 | 12,085 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,043 | 22 | 12,086 |
Yes | output | 1 | 6,043 | 22 | 12,087 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,044 | 22 | 12,088 |
No | output | 1 | 6,044 | 22 | 12,089 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,045 | 22 | 12,090 |
No | output | 1 | 6,045 | 22 | 12,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,046 | 22 | 12,092 |
No | output | 1 | 6,046 | 22 | 12,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given three integers a, b and c.
Find two positive integers x and y (x > 0, y > 0) such that:
* the decimal representation of x without leading zeroes consists of a digits;
* the... | instruction | 0 | 6,047 | 22 | 12,094 |
No | output | 1 | 6,047 | 22 | 12,095 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied:
* If number x belongs to set A, then number a - x must also belong to set A.
* If ... | instruction | 0 | 6,188 | 22 | 12,376 |
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy
Correct Solution:
```
import sys
from collections import defaultdict as dd
input = sys.stdin.readline
I = lambda : list(map(int,input().split()))
n,a,b=I()
l=I()
dic=dd(int)
for i in range(n):
dic[l[i]]=1
bs=[]
pa=dd(int)
for i in range(n):
if dic[a-l[i]]==0... | output | 1 | 6,188 | 22 | 12,377 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied:
* If number x belongs to set A, then number a - x must also belong to set A.
* If ... | instruction | 0 | 6,189 | 22 | 12,378 |
Tags: 2-sat, dfs and similar, dsu, graph matchings, greedy
Correct Solution:
```
class DisjointSet:
def __init__(self, n):
self._fa = list(range(n))
def union(self, x, y):
x = self.get_father(x)
y = self.get_father(y)
self._fa[x] = y
return y
def get_father(self, x):
... | output | 1 | 6,189 | 22 | 12,379 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied:
* If number x belongs to set A, then n... | instruction | 0 | 6,192 | 22 | 12,384 |
No | output | 1 | 6,192 | 22 | 12,385 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,588 | 22 | 13,176 |
Tags: brute force, greedy, number theory
Correct Solution:
```
import math
import sys
n=int(input())
a=[];b=[];g=0
for i in range(n):
x,y=map(int,sys.stdin.readline().split())
a.append(x)
b.append(y)
g=math.gcd(g,x*y)
for i in range(n):
if math.gcd(g,a[i])>1:
g=math.gcd(g,a[i])
else:
... | output | 1 | 6,588 | 22 | 13,177 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,589 | 22 | 13,178 |
Tags: brute force, greedy, number theory
Correct Solution:
```
from sys import stdin
from math import gcd
input=stdin.readline
n=int(input())
ab=[list(map(int,input().split())) for i in range(n)]
z=ab[0][0]*ab[0][1]
for a,b in ab:
z=gcd(z,a*b)
for a,b in ab:
if gcd(z,a)>1:
z=gcd(z,a)
else:
z=gcd(z,b)
prin... | output | 1 | 6,589 | 22 | 13,179 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,590 | 22 | 13,180 |
Tags: brute force, greedy, number theory
Correct Solution:
```
def d(x):
for dl in range(2,int(x**0.5)+1):
if x % dl == 0:
return(dl)
return (x)
def gcd(a,b):
return a if b==0 else gcd(b,a%b)
n=int(input())
a,b=map(int,input().split())
for i in range(n-1):
an,bn=map(int,input().sp... | output | 1 | 6,590 | 22 | 13,181 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,591 | 22 | 13,182 |
Tags: brute force, greedy, number theory
Correct Solution:
```
from math import sqrt
n = int(input())
def prime_factors(n):
factors = set()
while n % 2 == 0:
factors.add(2)
n = n / 2
for i in range(3,int(sqrt(n))+1,2):
while n % i== 0:
factors.add(i)
n = n ... | output | 1 | 6,591 | 22 | 13,183 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,592 | 22 | 13,184 |
Tags: brute force, greedy, number theory
Correct Solution:
```
import math
import sys
n=int(input());
a=[]
b=[]
g=0
for i in range(n) :
p,q=map(int,sys.stdin.readline().split())
a.append(p)
b.append(q)
g=math.gcd(g,p*q);
#print(g)
if (1==g):
exit(print("-1"))
#print(g)
for i in range... | output | 1 | 6,592 | 22 | 13,185 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,593 | 22 | 13,186 |
Tags: brute force, greedy, number theory
Correct Solution:
```
from math import gcd
n = int(input())
a, b = [int(x) for x in input().split()]
for i in range(1, n):
x, y = [int(x) for x in input().split()]
xy = x * y
if a > 1:
a = gcd(a, xy)
if b > 1:
b = gcd(b, xy)
g = max(a, b)
if g ==... | output | 1 | 6,593 | 22 | 13,187 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,594 | 22 | 13,188 |
Tags: brute force, greedy, number theory
Correct Solution:
```
def gcd(a,b):
if a%b==0:
return b
else:
return gcd(b,a%b)
import math
def pr(n):
a=[]
while n % 2 == 0:
a.append(2)
n = n / 2
for i in range(3,int(math.sqrt(n))+1,2):
... | output | 1 | 6,594 | 22 | 13,189 |
Provide tags and a correct Python 3 solution for this coding contest problem.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of a list of pairs of integers.
For a given list ... | instruction | 0 | 6,595 | 22 | 13,190 |
Tags: brute force, greedy, number theory
Correct Solution:
```
n = int(input())
from math import gcd
al = []
bl = []
g = 0
for _ in range(n):
a,b = map(int,input().split())
g = gcd(g,a*b)
al.append(a)
bl.append(b)
if(g==1):
print(-1)
exit(0)
for i in range(n):
x = gcd(g,al[i])
if(x>1):
... | output | 1 | 6,595 | 22 | 13,191 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,596 | 22 | 13,192 |
Yes | output | 1 | 6,596 | 22 | 13,193 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,597 | 22 | 13,194 |
Yes | output | 1 | 6,597 | 22 | 13,195 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,598 | 22 | 13,196 |
Yes | output | 1 | 6,598 | 22 | 13,197 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,599 | 22 | 13,198 |
Yes | output | 1 | 6,599 | 22 | 13,199 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,600 | 22 | 13,200 |
No | output | 1 | 6,600 | 22 | 13,201 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,601 | 22 | 13,202 |
No | output | 1 | 6,601 | 22 | 13,203 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,602 | 22 | 13,204 |
No | output | 1 | 6,602 | 22 | 13,205 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
During the research on properties of the greatest common divisor (GCD) of a set of numbers, Ildar, a famous mathematician, introduced a brand new concept of the weakened common divisor (WCD) of ... | instruction | 0 | 6,603 | 22 | 13,206 |
No | output | 1 | 6,603 | 22 | 13,207 |
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 | 6,730 | 22 | 13,460 |
Tags: math, number theory
Correct Solution:
```
from fractions import gcd
get=lambda x,lcm,b:x-b*(x//lcm)-min(b,x%lcm+1)
for _ in range(int(input())):
a,b,q=map(int,input().split())
lcm=a*b//gcd(a,b)
for i in range(q):
l,r=map(int,input().split())
print(get(r,lcm,max(a,b))-get(l-1,lcm,max(a,... | output | 1 | 6,730 | 22 | 13,461 |
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 | 6,731 | 22 | 13,462 |
Tags: math, number theory
Correct Solution:
```
import sys,math
input = sys.stdin.buffer.readline
def f(x,b,g,lcm):
seq,rest = divmod(x,lcm)
return seq*(lcm-b) + max(0,rest-b+1)
T = int(input())
for testcase in range(T):
a,b,q = map(int,input().split())
if a > b:
a,b = b,a
g = math.gcd(a... | output | 1 | 6,731 | 22 | 13,463 |
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