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.
Try guessing the statement from this picture <http://tiny.cc/ogyoiz>.
You are given two integers A and B, calculate the number of pairs (a, b) such that 1 ≤ a ≤ A, 1 ≤ b ≤ B, and the equation a ⋅ b + a + b = conc(a, b) is true; conc(a, b) i... | instruction | 0 | 80,062 | 22 | 160,124 |
Tags: math
Correct Solution:
```
import sys
def read_in():
stri = sys.stdin.readline()
return stri.strip()
def from_str_to_list(stri):
res_List = []
for i in stri.split():
res_List.append(int(i))
return res_List
def main():
t = int(read_in())
k = 0
for i in range(t):
... | output | 1 | 80,062 | 22 | 160,125 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Try guessing the statement from this picture <http://tiny.cc/ogyoiz>.
You are given two integers A and B, calculate the number of pairs (a, b) such that 1 ≤ a ≤ A, 1 ≤ b ≤ B, and the equation a... | instruction | 0 | 80,070 | 22 | 160,140 |
No | output | 1 | 80,070 | 22 | 160,141 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset S. Over all pairs of subsets A and B, such that:
* B ⊂ A;
* |B| = |A| - 1;
* greatest common divisor of all elements in A is equal to one;
find the sum of ∑_{x ∈ A}{x} ⋅ ∑_{x ∈ B}{x}, modulo 998 244 353.... | instruction | 0 | 80,143 | 22 | 160,286 |
Tags: combinatorics, math, number theory
Correct Solution:
```
import sys
input=sys.stdin.readline
max_n=10**5+1
mod=998244353
spf=[i for i in range(max_n)]
prime=[True for i in range(max_n)]
mobius=[0 for i in range(max_n)]
prime[0]=prime[1]=False
mobius[1]=1
primes=[]
for i in range(2,max_n):
if(prime[i]):
... | output | 1 | 80,143 | 22 | 160,287 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a multiset S. Over all pairs of subsets A and B, such that:
* B ⊂ A;
* |B| = |A| - 1;
* greatest common divisor of all elements in A is equal to one;
find the sum of ∑_{x ∈ A}{x} ⋅ ∑_{x ∈ B}{x}, modulo 998 244 353.... | instruction | 0 | 80,144 | 22 | 160,288 |
Tags: combinatorics, math, number theory
Correct Solution:
```
import sys
input=sys.stdin.readline
max_n=10**5+1
mod=998244353
spf=[i for i in range(max_n)]
prime=[True for i in range(max_n)]
mobius=[0 for i in range(max_n)]
prime[0]=prime[1]=False
mobius[1]=1
primes=[]
for i in range(2,max_n):
if(prime[i]):
... | output | 1 | 80,144 | 22 | 160,289 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a multiset S. Over all pairs of subsets A and B, such that:
* B ⊂ A;
* |B| = |A| - 1;
* greatest common divisor of all elements in A is equal to one;
find the sum of ∑... | instruction | 0 | 80,146 | 22 | 160,292 |
No | output | 1 | 80,146 | 22 | 160,293 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,320 | 22 | 160,640 |
Tags: combinatorics, math, number theory
Correct Solution:
```
MOD = 10**9+7
def SieveOfEratosthenes(n):
prime = [True for i in range(n + 1)]
p = 2
while (p * p <= n):
if (prime[p] == True):
for i in range(p * p, n + 1, p):
prime[i] = False
p += 1
l = []
... | output | 1 | 80,320 | 22 | 160,641 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,321 | 22 | 160,642 |
Tags: combinatorics, math, number theory
Correct Solution:
```
f=[1]*15001
fi=[1]*15001
a=1
b=1
m=10**9+7
from collections import defaultdict
for i in range(1,15001):
a*=i
b*=pow(i,m-2,m)
a%=m
b%=m
f[i]=a
fi[i]=b
d=defaultdict(int)
def factorize(n):
count = 0;
while ((n % 2 > 0) == Fa... | output | 1 | 80,321 | 22 | 160,643 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,322 | 22 | 160,644 |
Tags: combinatorics, math, number theory
Correct Solution:
```
# Design_by_JOKER
import math
import cmath
Mod = 1000000007
MAX = 33000
n = int(input())
A = list(map(int, input().split()))
B = [0] * MAX
bePrime = [0] * MAX;
primNum = []
C = []
fac = [1]
for j in range(1, MAX):
fac.append(fac[-1] * j % Mod)... | output | 1 | 80,322 | 22 | 160,645 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,323 | 22 | 160,646 |
Tags: combinatorics, math, number theory
Correct Solution:
```
# Made By Mostafa_Khaled
bot = True
Mod = 1000000007
MAX = 33000
n = int( input() )
A = list( map( int, input().split() ) )
B = [0] * MAX
bePrime = [0] * MAX;
primNum = []
C = []
fac=[1]
for j in range(1, MAX):
fac.append( fac[-1] * j % ... | output | 1 | 80,323 | 22 | 160,647 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,324 | 22 | 160,648 |
Tags: combinatorics, math, number theory
Correct Solution:
```
ans={}
#######find prime factors
# Python3 program to print prime factors
# and their powers.
import math
# Function to calculate all the prime
# factors and count of every prime factor
def factorize(n):
count = 0;
# count the number of
# time... | output | 1 | 80,324 | 22 | 160,649 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,325 | 22 | 160,650 |
Tags: combinatorics, math, number theory
Correct Solution:
```
from collections import defaultdict
m = 1000000007
f = [0] * 15001
f[0] = 1
for i in range(1, 15001): f[i] = (f[i - 1] * i) % m
def c(n, k): return (f[n] * pow((f[k] * f[n - k]) % m, m - 2, m)) % m
def prime(n):
m = int(n ** 0.5) + 1
t = [1] * (n ... | output | 1 | 80,325 | 22 | 160,651 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,326 | 22 | 160,652 |
Tags: combinatorics, math, number theory
Correct Solution:
```
Mod = 1000000007
MAX = 33000
n = int( input() )
A = list( map( int, input().split() ) )
B = [0] * MAX
bePrime = [0] * MAX;
primNum = []
C = []
fac=[1]
for j in range(1, MAX):
fac.append( fac[-1] * j % Mod )
def calc( M,... | output | 1 | 80,326 | 22 | 160,653 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers.
Decomposition into n products, given in the ... | instruction | 0 | 80,327 | 22 | 160,654 |
Tags: combinatorics, math, number theory
Correct Solution:
```
import math
import sys
input=sys.stdin.readline
p=(10**9)+7
pri=p
fac=[1 for i in range((10**6)+1)]
for i in range(2,len(fac)):
fac[i]=(fac[i-1]*(i%pri))%pri
def modi(x):
return (pow(x,p-2,p))%p;
def ncr(n,r):
x=(fac[n]*((modi(fac[r])%p)*... | output | 1 | 80,327 | 22 | 160,655 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,328 | 22 | 160,656 |
Yes | output | 1 | 80,328 | 22 | 160,657 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,329 | 22 | 160,658 |
Yes | output | 1 | 80,329 | 22 | 160,659 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,330 | 22 | 160,660 |
Yes | output | 1 | 80,330 | 22 | 160,661 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,331 | 22 | 160,662 |
Yes | output | 1 | 80,331 | 22 | 160,663 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,332 | 22 | 160,664 |
No | output | 1 | 80,332 | 22 | 160,665 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,333 | 22 | 160,666 |
No | output | 1 | 80,333 | 22 | 160,667 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,334 | 22 | 160,668 |
No | output | 1 | 80,334 | 22 | 160,669 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer m as a product of integers a1, a2, ... an <image>. Your task is to find the number of distinct decompositions of number m into the product of n ordered positive integers... | instruction | 0 | 80,335 | 22 | 160,670 |
No | output | 1 | 80,335 | 22 | 160,671 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,831 | 22 | 161,662 |
Tags: math
Correct Solution:
```
def countSetBits(n):
count = 0
while (n):
n &= (n-1)
count+=1
return count
for _ in range(int(input())):
n=int(input())
k=(countSetBits(n))
print(pow(2,k))
``` | output | 1 | 80,831 | 22 | 161,663 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,832 | 22 | 161,664 |
Tags: math
Correct Solution:
```
from sys import stdin
def readLine():
return stdin.readline()
def readInt():
return int(readLine())
f = lambda a, x: a - (a ^ x) - x
def main():
n = readInt()
for i in range(n):
a = readInt()
bn = bin(a)[2:]
ans = 1
for i in bn:
if i == '1':
ans *= 2
print(an... | output | 1 | 80,832 | 22 | 161,665 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,833 | 22 | 161,666 |
Tags: math
Correct Solution:
```
from functools import reduce
for i in range(int(input())):
#a-x = a xor x
a = bin(int(input()))
r = 1
for i in a[2:]:
r *= 2 if i=='1' else 1
print(r)
``` | output | 1 | 80,833 | 22 | 161,667 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,834 | 22 | 161,668 |
Tags: math
Correct Solution:
```
for _ in range(int(input())):
a = int(input())
print(2**bin(a).count('1'))
``` | output | 1 | 80,834 | 22 | 161,669 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,835 | 22 | 161,670 |
Tags: math
Correct Solution:
```
for i in range(int(input())):
print(2**(bin(int(input())).count('1')))
``` | output | 1 | 80,835 | 22 | 161,671 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,836 | 22 | 161,672 |
Tags: math
Correct Solution:
```
# Author: πα
n = int(input())
for i in range(n):
b = bin(int(input()))
count = 0
for c in b:
if c == '1':
count += 1
print(pow(2, count))
``` | output | 1 | 80,836 | 22 | 161,673 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,837 | 22 | 161,674 |
Tags: math
Correct Solution:
```
t = int(input())
for _ in range(t):
n = int(input())
ans = 0
for i in range(32):
if n & (1 << i):
ans += 1
ans = 1 << ans
print(ans)
``` | output | 1 | 80,837 | 22 | 161,675 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Colossal! — exclaimed Hawk-nose. — A programmer! That's exactly what we are looking for.
Arkadi and Boris Strugatsky. Monday starts on Saturday
Reading the book "Equations of Mathematical Magic" Roman Oira-Oira and Cristobal Junta found an... | instruction | 0 | 80,838 | 22 | 161,676 |
Tags: math
Correct Solution:
```
#codeforces_1064B_live
gi = lambda : list(map(int,input().split()))
print("\n".join(list(map(str,[2**bin(gi()[0])[2:].count("1") for e in range(gi()[0])]))))
``` | output | 1 | 80,838 | 22 | 161,677 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,981 | 22 | 161,962 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
for _ in range(int(input())):
n=int(input())
a=list(map(int,input().split()))
a.sort()
i,b=0,0
while i < (n-1):
if a[i+1]-a[i]==1:
b+=1
i+=2
else:
i+=1
c,d=0... | output | 1 | 80,981 | 22 | 161,963 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,982 | 22 | 161,964 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
def game():
odd = []
even = []
for i in arr:
if i%2==0:
odd.append(i)
else:
even.append(i)
if (len(odd)%2)==0 and (len(even)%2==0):
print('YES')
return
el... | output | 1 | 80,982 | 22 | 161,965 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,983 | 22 | 161,966 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
def main():
import sys
sys.setrecursionlimit(10**6)
input = sys.stdin.readline
T = int(input())
for t in range(T):
n = int(input())
a = tuple([int(x) for x in input().strip().split()])
even... | output | 1 | 80,983 | 22 | 161,967 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,984 | 22 | 161,968 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
import math
#------------------------------warmup----------------------------
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
se... | output | 1 | 80,984 | 22 | 161,969 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,985 | 22 | 161,970 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
import math
for case in range(int(input())):
n = int(input())
a = input().split(' ')
numeven = 0
for i in range(n):
a[i] = int(a[i])
if a[i] % 2 == 0:
numeven = numeven + 1
numodd = n ... | output | 1 | 80,985 | 22 | 161,971 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,986 | 22 | 161,972 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
from collections import Counter
import sys
sys.setrecursionlimit(10 ** 6)
mod = 1000000007
inf = int(1e18)
dx = [0, 1, 0, -1]
dy = [1, 0, -1, 0]
def inverse(a):
return pow(a, mod - 2, mod)
def usearch(x, a):
lft = 0
... | output | 1 | 80,986 | 22 | 161,973 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,987 | 22 | 161,974 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
t = int(input())
for _ in range(t):
n = int(input())
a = sorted(map(int, input().split()))
matched = 0
evens = 0
odds = 0
for i in range(n):
if a[i] % 2 == 0:
evens += 1
else:
... | output | 1 | 80,987 | 22 | 161,975 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are similar to each other, and in the pairs (1, 4)... | instruction | 0 | 80,988 | 22 | 161,976 |
Tags: constructive algorithms, graph matchings, greedy, sortings
Correct Solution:
```
for _ in range(int(input())):
input()
l = list(map(int, input().split()))
n = [i for i in l if i%2]
if len(n)%2==0:
print('YES')
else:
l.sort()
for i in range(len(l)-1):
if l[i+... | output | 1 | 80,988 | 22 | 161,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,990 | 22 | 161,980 |
Yes | output | 1 | 80,990 | 22 | 161,981 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,991 | 22 | 161,982 |
Yes | output | 1 | 80,991 | 22 | 161,983 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,993 | 22 | 161,986 |
No | output | 1 | 80,993 | 22 | 161,987 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,994 | 22 | 161,988 |
No | output | 1 | 80,994 | 22 | 161,989 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,995 | 22 | 161,990 |
No | output | 1 | 80,995 | 22 | 161,991 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,996 | 22 | 161,992 |
No | output | 1 | 80,996 | 22 | 161,993 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., xk is called good if it satisfies the following... | instruction | 0 | 81,087 | 22 | 162,174 |
Tags: dp, number theory
Correct Solution:
```
primes=[]
for i in range(2,10**5):
x=0
for j in range(2,int(i**0.5)+1):
if i%j==0:
x=1
break
if x==0:
primes.append(i)
set_p=set(primes)
n=int(input())
a=list(map(int,input().split()))
#a=[100000 for i in range(1,n+1)]
a=a... | output | 1 | 81,087 | 22 | 162,175 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this problem is too simple for him, so he does not want ... | instruction | 0 | 81,721 | 22 | 163,442 |
Tags: number theory
Correct Solution:
```
from sys import stdin
from collections import deque
mod = 10**9 + 7
# def rl():
# return [int(w) for w in stdin.readline().split()]
from bisect import bisect_right
from bisect import bisect_left
from collections import defaultdict
from math import sqrt,factorial,gcd,log2,in... | output | 1 | 81,721 | 22 | 163,443 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this problem is too simple for him, so he does not want ... | instruction | 0 | 81,722 | 22 | 163,444 |
Tags: number theory
Correct Solution:
```
from math import gcd
R = lambda:map(int, input().split())
n = int(input())
l = list(R())
m = max(l)+1
prime = [0]*(m)
commondivisor = [0]*(m)
def seive():
for i in range(2,m):
if prime[i]==0:
for j in range(i*2,m,i):
prime[j] = i
fo... | output | 1 | 81,722 | 22 | 163,445 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this problem is too simple for him, so he does not want ... | instruction | 0 | 81,723 | 22 | 163,446 |
Tags: number theory
Correct Solution:
```
from math import gcd
def sieve():
global prime
prime=[0]*(m)
for i in range(2,m):
if prime[i] ==0:
for j in range(i,m,i):
prime[j] =i
n=int(input())
arr=list(map(int,input().split()))
m=max(arr) +1
prime=[0]*(m)
sieve()
gd=0
com... | output | 1 | 81,723 | 22 | 163,447 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this problem is too simple for him, so he does not want ... | instruction | 0 | 81,724 | 22 | 163,448 |
Tags: number theory
Correct Solution:
```
# -*- coding: utf-8 -*-
import sys
from math import gcd
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
N = int(readline())
A = list(map(int, readline().split()))
M = max(A) + 1
## 1- index
MinFactor = [0] * M
MinFactor[... | output | 1 | 81,724 | 22 | 163,449 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this problem is too simple for him, so he does not want ... | instruction | 0 | 81,725 | 22 | 163,450 |
Tags: number theory
Correct Solution:
```
from math import gcd
n = int(input())
l = list(map(int,input().split()))
m = max(l)+1
prime = [0]*(m)
commondivisor = [0]*(m)
def seive():
for i in range(2,m):
if prime[i] == 0:
for j in range(i*2,m,i):
prime[j] = i
for i in range(2,m):
if not prime[... | output | 1 | 81,725 | 22 | 163,451 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mr. F has n positive integers, a_1, a_2, …, a_n.
He thinks the greatest common divisor of these integers is too small. So he wants to enlarge it by removing some of the integers.
But this problem is too simple for him, so he does not want ... | instruction | 0 | 81,726 | 22 | 163,452 |
Tags: number theory
Correct Solution:
```
n = int(input())
m=list(map(int,input().split()))
gc=m[0]
import math
for i in range(1,n):
gc=math.gcd(gc,m[i])
k=max(m)
prime=[0]*(k+1)
pfac=[0]*(k+1)
for i in range(2,k+1):
if prime[i]==0:
for j in range(i*i,k+1,i):
prime[j]=i
for i in range(1,k+1)... | output | 1 | 81,726 | 22 | 163,453 |
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