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 have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,155 | 22 | 120,310 |
Tags: binary search, math
Correct Solution:
```
a,b,c,d=map(int,input().split());l=1;r=10**10
while r-l>1:
m=(r+l)//2
both=m//(c*d)
f=[m//c,m//d]
other=m-f[0]-f[1]+both
f[0]-=both;f[1]-=both
if max(0,b-f[0])+max(0,a-f[1])<=other:
r=m
else:
l=m
print(r)
``` | output | 1 | 60,155 | 22 | 120,311 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,156 | 22 | 120,312 |
Tags: binary search, math
Correct Solution:
```
# by the authority of GOD author: manhar singh sachdev #
import os,sys
from io import BytesIO, IOBase
def check(mid,c1,c2,x,y):
a,b,c = mid//x,mid//y,mid//(x*y)
c1 = max(0,c1-b+c)
c2 = max(0,c2-a+c)
if c1+c2 <= mid-a-b+c:
return 1
return ... | output | 1 | 60,156 | 22 | 120,313 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,157 | 22 | 120,314 |
Tags: binary search, math
Correct Solution:
```
__author__ = 'neki'
import sys
#sys.stdin = open("friendsPresents.in", "r")
#sys.stdout = open("friendsPresents.out", "w")
words = input().split()
cnt1 = int(words[0])
cnt2 = int(words[1])
x = int(words[2])
y = int(words[3])
#print(cnt1, cnt2, x, y)
def determine(num,... | output | 1 | 60,157 | 22 | 120,315 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want all presented numbers to be distinct, that also ... | instruction | 0 | 60,158 | 22 | 120,316 |
Tags: binary search, math
Correct Solution:
```
def check(v):
a = v // y - v // (x * y)
b = v // x - v // (x * y)
c = v - (a + b + v // (x * y))
fa = c + a
fb = min(c, fa - cnt1) + b
return (fa >= cnt1) and (fb >= cnt2)
cnt1, cnt2, x, y = map(int, input().split())
l, r = 0, (cnt1 + cnt2) * 2
wh... | output | 1 | 60,158 | 22 | 120,317 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,159 | 22 | 120,318 |
Yes | output | 1 | 60,159 | 22 | 120,319 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,160 | 22 | 120,320 |
Yes | output | 1 | 60,160 | 22 | 120,321 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,161 | 22 | 120,322 |
Yes | output | 1 | 60,161 | 22 | 120,323 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,162 | 22 | 120,324 |
Yes | output | 1 | 60,162 | 22 | 120,325 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,163 | 22 | 120,326 |
No | output | 1 | 60,163 | 22 | 120,327 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,164 | 22 | 120,328 |
No | output | 1 | 60,164 | 22 | 120,329 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,165 | 22 | 120,330 |
No | output | 1 | 60,165 | 22 | 120,331 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have two friends. You want to present each of them several positive integers. You want to present cnt1 numbers to the first friend and cnt2 numbers to the second friend. Moreover, you want a... | instruction | 0 | 60,166 | 22 | 120,332 |
No | output | 1 | 60,166 | 22 | 120,333 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,199 | 22 | 120,398 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
import math
def binarySearch(num,l,r,x):
while l<=r:
mid=(l+r)//2
if num[mid]==x:
return mid
elif num[mid]<x:
l=mid+1
... | output | 1 | 60,199 | 22 | 120,399 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,200 | 22 | 120,400 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
from fractions import gcd
from random import randint, shuffle
from collections import Counter
def read_numbers():
return list(map(int, input().split()))
def get_original_array(n, numbers):
cnt = Counter(numbers)
array = []
f... | output | 1 | 60,200 | 22 | 120,401 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,201 | 22 | 120,402 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
import math
from collections import Counter
n = int(input())
a = Counter(map(int, input().rstrip().split()))
li = []
for i in range(n):
maxm = max(a)
a[maxm] -= 1
for x in li:
a[math.gcd(x, maxm)] -= 2
li += [maxm]
a ... | output | 1 | 60,201 | 22 | 120,403 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,202 | 22 | 120,404 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
import collections as cc
import math as mt
I=lambda:list(map(int,input().split()))
n,=I()
l=I()
f=cc.Counter(l)
ans=[]
for i in range(n):
now=max(f)
f[now]-=1
for j in ans:
f[mt.gcd(now,j)]-=2
ans.append(now)
f+=cc.Co... | output | 1 | 60,202 | 22 | 120,405 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,203 | 22 | 120,406 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
from sys import stdin,stdout
from math import gcd
input = stdin.readline
def main():
#t = int(input())
t=1
for z in range(t):
n = int(input())
#n, m = map(int,input().split())
ai = list(map(int,input().split(... | output | 1 | 60,203 | 22 | 120,407 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,204 | 22 | 120,408 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
import sys,math as mt
input = sys.stdin.readline
from collections import Counter as cc
I = lambda : list(map(int,input().split()))
n,=I()
l=I()
an=[];rq=cc(l)
for i in range(n):
mx=max(rq)
rq[mx]-=1
for x in an:
rq[mt.gcd(x,mx)]-=2
an.app... | output | 1 | 60,204 | 22 | 120,409 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,205 | 22 | 120,410 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
import math
from collections import Counter
n=int(input())
count_=Counter(map(int,input().split()))
ans=[]
for i in range(n):
big = max(count_)
count_[big]-=1
for other in ans:
a=math.gcd(other,big)#;b= math.gcd(other,big)
... | output | 1 | 60,205 | 22 | 120,411 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x and y is the greatest integer that is divisor ... | instruction | 0 | 60,206 | 22 | 120,412 |
Tags: constructive algorithms, greedy, number theory
Correct Solution:
```
from sys import stdin,stdout
from math import gcd
from collections import Counter
nmbr = lambda: int(stdin.readline())
lst = lambda: list(map(int,stdin.readline().split()))
for _ in range(1):#nmbr()):
n=nmbr()
a=sorted(lst())
d=Count... | output | 1 | 60,206 | 22 | 120,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,207 | 22 | 120,414 |
Yes | output | 1 | 60,207 | 22 | 120,415 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,208 | 22 | 120,416 |
Yes | output | 1 | 60,208 | 22 | 120,417 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,209 | 22 | 120,418 |
Yes | output | 1 | 60,209 | 22 | 120,419 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,210 | 22 | 120,420 |
Yes | output | 1 | 60,210 | 22 | 120,421 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,211 | 22 | 120,422 |
No | output | 1 | 60,211 | 22 | 120,423 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,212 | 22 | 120,424 |
No | output | 1 | 60,212 | 22 | 120,425 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,213 | 22 | 120,426 |
No | output | 1 | 60,213 | 22 | 120,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The GCD table G of size n × n for an array of positive integers a of length n is defined by formula
<image>
Let us remind you that the greatest common divisor (GCD) of two positive integers x... | instruction | 0 | 60,214 | 22 | 120,428 |
No | output | 1 | 60,214 | 22 | 120,429 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem.
Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al... | instruction | 0 | 60,273 | 22 | 120,546 |
Tags: constructive algorithms, dsu, math
Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time
sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7
def LI(): return list(map(int, input().split()))
def II(): return int(input())
def LS(): return input().spli... | output | 1 | 60,273 | 22 | 120,547 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Artsem has a friend Saunders from University of Chicago. Saunders presented him with the following problem.
Let [n] denote the set {1, ..., n}. We will also write f: [x] → [y] when a function f is defined in integer points 1, ..., x, and al... | instruction | 0 | 60,274 | 22 | 120,548 |
Tags: constructive algorithms, dsu, math
Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
i = 0
h = dict()
g = []
for x in a:
cur = x
if a[cur - 1] != cur:
print("-1")
quit()
if not h.__contains__(cur):
h[cur] = len(g)
g.append(cur)
print(len(g))
for... | output | 1 | 60,274 | 22 | 120,549 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a positive integer N. How many tuples (A,B,C) of positive integers satisfy A \times B + C = N?
Constraints
* 2 \leq N \leq 10^6
* All values in input are integers.
Input
Input is gi... | instruction | 0 | 60,395 | 22 | 120,790 |
No | output | 1 | 60,395 | 22 | 120,791 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,527 | 22 | 121,054 |
"Correct Solution:
```
n=int(input())
d=dict()
def get(n):
if(n==1):return 1
if(n==0):return 0
if(n in d.keys()):return d[n]
if(n%2==0):
d[n]=2*get(n//2)+get(n//2-1)
else:
d[n]=2*get(n//2)+get(n//2+1)
d[n]%=(10**9+7)
return d[n]
def check(u,v,n):
for a in range(n+1):
... | output | 1 | 60,527 | 22 | 121,055 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,528 | 22 | 121,056 |
"Correct Solution:
```
#社協
N = int(input())
binN = format(N, "b").zfill(60)
mod = 7 + 10 ** 9
DP = [[0, 0, 0] for _ in range(60)]
if binN[0] == "0":
DP[0] = [1, 0, 0]
else:
DP[0] = [1, 1, 0]
for i in range(1, 60):
if binN[i] == "0":
DP[i][0] = (DP[i-1][0] + DP[i-1][1]) % mod
DP[i][1] =... | output | 1 | 60,528 | 22 | 121,057 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,529 | 22 | 121,058 |
"Correct Solution:
```
from collections import defaultdict, deque, Counter
from heapq import heappush, heappop, heapify
import math
from bisect import bisect_left, bisect_right
import random
from itertools import permutations, accumulate, combinations
import sys
import string
INF = float('inf')
def LI(): return list... | output | 1 | 60,529 | 22 | 121,059 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,530 | 22 | 121,060 |
"Correct Solution:
```
MOD = 10**9 + 7
n = int(input())
dp = [[0 for _ in range(3)] for _ in range(61)]
dp[60][0] = 1
for i in range(59, -1, -1):
if (n>>i)&1 == 1:
dp[i][0] += dp[i+1][0]
dp[i][1] += dp[i+1][0] + dp[i+1][1]
dp[i][2] += 2*dp[i+1][1] + 3*dp[i+1][2]
else:
dp[i][0] += dp[i+1][0] + dp[i+1][1]
dp[... | output | 1 | 60,530 | 22 | 121,061 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,531 | 22 | 121,062 |
"Correct Solution:
```
MOD = 10 ** 9 + 7
N = int(input())
binN = list(map(int, bin(N)[2:]))
dp = [[0] * 3 for _ in range(len(binN) + 1)]
dp[0][0] = 1
for i, Ni in enumerate(binN):
dp[i + 1][0] += dp[i][0] * 1
dp[i + 1][1] += dp[i][0] * Ni
dp[i + 1][0] += dp[i][1] * (1 - Ni)
dp[i + 1][1] += dp[i][1] * ... | output | 1 | 60,531 | 22 | 121,063 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,532 | 22 | 121,064 |
"Correct Solution:
```
N = int(input())
binN = format(N, "b").zfill(60)
mod = 7 + 10 ** 9
DP = [[0, 0, 0] for _ in range(60)]
if binN[0] == "0":
DP[0] = [1, 0, 0]
else:
DP[0] = [1, 1, 0]
for i in range(1, 60):
if binN[i] == "0":
DP[i][0] = (DP[i-1][0] + DP[i-1][1]) % mod
DP[i][1] = DP[i... | output | 1 | 60,532 | 22 | 121,065 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,533 | 22 | 121,066 |
"Correct Solution:
```
N= int(input())
bit = bin(N)[2:]
k = len(bit)
dp = [[0] * 2 for i in range(len(bit) + 1)]
dp[0][0] = 1
dp[0][1] = 1
for i in range(k):
j = int(bit[k-i-1])
a,b,c = [(1,0,0),(1,1,0)][j]
d,e,f = [(1, 1, 1),(0, 1, 2)][j]
dp[i+1][0] = (a * dp[i][0] + b * dp[i][1] + c * 3**i) % 1000000007
dp[i+1][... | output | 1 | 60,533 | 22 | 121,067 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extreme... | instruction | 0 | 60,534 | 22 | 121,068 |
"Correct Solution:
```
n = int(input())
b = bin(n)[2:]
MOD = 10 ** 9 + 7
dp1, dp2, dp3 = 1, 0, 0
for d in b:
if d == '1':
dp1, dp2, dp3 = dp1 % MOD, (dp1 + dp2) % MOD, (dp2 * 2 + dp3 * 3) % MOD
else:
dp1, dp2, dp3 = (dp1 + dp2) % MOD, dp2, (dp2 + dp3 * 3) % MOD
print((dp1 + dp2 + dp3) % MOD)
... | output | 1 | 60,534 | 22 | 121,069 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor d... | instruction | 0 | 60,535 | 22 | 121,070 |
Yes | output | 1 | 60,535 | 22 | 121,071 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor d... | instruction | 0 | 60,537 | 22 | 121,074 |
Yes | output | 1 | 60,537 | 22 | 121,075 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Lunar New Year is approaching, and Bob received a gift from his friend recently — a recursive sequence! He loves this sequence very much and wants to play with it.
Let f_1, f_2, …, f_i, … be an infinite sequence of positive integers. Bob kn... | instruction | 0 | 60,672 | 22 | 121,344 |
Tags: math, matrices, number theory
Correct Solution:
```
from math import ceil, sqrt
p = 998244353
def bsgs(g, h):
'''
Solve for x in h = g^x mod p given a prime p.
'''
N = ceil(sqrt(p - 1)) # phi(p) is p-1 if p is prime
# Store hashmap of g^{1...m} (mod p). Baby step.
tbl = {pow(g, i, p): ... | output | 1 | 60,672 | 22 | 121,345 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does not matter where you insert the new element). For... | instruction | 0 | 60,705 | 22 | 121,410 |
Tags: math
Correct Solution:
```
t=int(input())
for i in range(t):
n=int(input())
a=list(map(int,input().split()))
p=dict()
count1=0
count2=0
count0=0
ans=0
for i in a:
if i%3==1:
count1+=1
elif i%3==2:
count2+=1
elif i%3==0:
c... | output | 1 | 60,705 | 22 | 121,411 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does not matter where you insert the new element). For... | instruction | 0 | 60,706 | 22 | 121,412 |
Tags: math
Correct Solution:
```
def main():
answer = ""
for i in range(int(input())):
n = int(input())
nums = list(map(int,input().split(' ')))
new_nums = []
for i in nums:
new_nums.append(i%3)
counts = [0,0,0]
for i in new_nums:
counts[i]... | output | 1 | 60,706 | 22 | 121,413 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does not matter where you insert the new element). For... | instruction | 0 | 60,707 | 22 | 121,414 |
Tags: math
Correct Solution:
```
# B. Merge it!
t=int(input())
for i in range(t):
n=int(input())
k = [int(i) % 3 for i in input().split()]
a=k.count(0)
b=k.count(1)
c=k.count(2)
m=a+min(b,c)+abs(b-c)//3
print(m)
``` | output | 1 | 60,707 | 22 | 121,415 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does not matter where you insert the new element). For... | instruction | 0 | 60,708 | 22 | 121,416 |
Tags: math
Correct Solution:
```
t=int(input())
for i in range(t):
n=int(input())
a=list(map(int,input().split()))
c=[0,0,0]
for i in a:
if i%3==0:
c[0]+=1
elif i%3==1:
c[1]+=1
elif i%3==2:
c[2]+=1
print(c[0]+min(c[1],c[2])+(max(c[1],c[2])-... | output | 1 | 60,708 | 22 | 121,417 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does not matter where you insert the new element). For... | instruction | 0 | 60,709 | 22 | 121,418 |
Tags: math
Correct Solution:
```
for t in range(int(input())):
n=int(input())
a=list(map(int,input().split()))
nd3=0
nd2=0
nd1=0
for x in a:
if(x%3==0):
nd3+=1
elif(x%3==1):
nd1+=1
else:
nd2+=1
res=0
res+=nd3
if(nd1>nd2):
res+=nd2
res+=(nd1-nd2)//3
elif(nd1==nd2):
res+=nd2
else:
res+=n... | output | 1 | 60,709 | 22 | 121,419 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does not matter where you insert the new element). For... | instruction | 0 | 60,711 | 22 | 121,422 |
Tags: math
Correct Solution:
```
t = int(input())
for i in range(t):
n = int(input())
a = [int(x) for x in input().split()]
mod0 = mod1= mod2 = 0
for i in a:
if i%3==0:
mod0+=1
elif i%3==1:
mod1+=1
else:
mod2+=1
if mod1==mod2:
mod0... | output | 1 | 60,711 | 22 | 121,423 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does no... | instruction | 0 | 60,713 | 22 | 121,426 |
Yes | output | 1 | 60,713 | 22 | 121,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a consisting of n integers a_1, a_2, ... , a_n.
In one operation you can choose two elements of the array and replace them with the element equal to their sum (it does no... | instruction | 0 | 60,715 | 22 | 121,430 |
Yes | output | 1 | 60,715 | 22 | 121,431 |
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