question stringlengths 153 6.11k | thinking stringlengths 0 84k | answer stringlengths 0 7.31k | content stringlengths 4 85.9k | id int64 0 2k |
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Polar bears like unique arrays — that is, arrays without repeated elements.
You have got a unique array s with length n containing non-negative integers. Since you are good friends with Alice and Bob, you decide to split the array in two. Precisely, you need to construct two arrays a and b that are also of length n, w... | <think>
Okay, I need to solve this problem where I have to split a unique array s into two arrays a and b such that both a and b are almost unique. Almost unique means that after removing at most n/2 elements (floor division?), the array becomes unique. Wait, the example shows that for the array [1,2,1,3,2], which has ... |
n = int(input())
s = list(map(int, input().split()))
a = []
b = []
for i in range(n):
if i % 2 == 0:
a.append(0)
b.append(s[i])
else:
a.append(s[i])
b.append(0)
print("YES")
print(' '.join(map(str, a)))
print(' '.join(map(str, b)))
| <think>
Okay, I need to solve this problem where I have to split a unique array s into two arrays a and b such that both a and b are almost unique. Almost unique means that after removing at most n/2 elements (floor division?), the array becomes unique. Wait, the example shows that for the array [1,2,1,3,2], which has ... | 0 |
Furlo and Rublo play a game. The table has n piles of coins lying on it, the i-th pile has ai coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:
* choose some pile, let's denote the current number of coins in it as x;
* choose some integer y (0 ≤ y < x; x1 / 4 ≤ y ≤ x1 / 2) a... | <think>
Okay, I need to solve this problem where two players take turns moving coins in piles according to certain rules, and determine who wins if both play optimally. Let's think through this step by step.
The problem says that in each move, a player selects a pile with x coins and reduces it to y, where y is betwee... |
import sys
from functools import lru_cache
def main():
sys.setrecursionlimit(1 << 25)
n = int(sys.stdin.readline())
a = list(map(int, sys.stdin.readline().split()))
@lru_cache(maxsize=None)
def grundy(x):
if x == 0:
return 0
if x == 1:
return 0
lowe... | <think>
Okay, I need to solve this problem where two players take turns moving coins in piles according to certain rules, and determine who wins if both play optimally. Let's think through this step by step.
The problem says that in each move, a player selects a pile with x coins and reduces it to y, where y is betwee... | 1 |
"A plane contains a not necessarily convex polygon without self-intersections, consisting of n verte(...TRUNCATED) | "<think>\nOkay, let's try to figure out how to solve this problem. The problem is about finding the (...TRUNCATED) | "\nimport math\n\ndef readints():\n return list(map(int, input().split()))\n\nn = int(input())\np(...TRUNCATED) | "<think>\nOkay, let's try to figure out how to solve this problem. The problem is about finding the (...TRUNCATED) | 2 |
"Today is Devu's birthday. For celebrating the occasion, he bought n sweets from the nearby market. (...TRUNCATED) | "<think>\nOkay, let's see. The problem is about distributing n sweets to f friends such that each fr(...TRUNCATED) | "\nimport sys\nimport bisect\n\nMOD = 10**9 + 7\nmax_n = 100000\n\n# Precompute smallest prime facto(...TRUNCATED) | "<think>\nOkay, let's see. The problem is about distributing n sweets to f friends such that each fr(...TRUNCATED) | 3 |
"As everyone knows, bears love fish. But Mike is a strange bear; He hates fish! The even more strang(...TRUNCATED) | "<think>\nOkay, let's see. So the problem is to assign either 'r' or 'b' to each point such that for(...TRUNCATED) | "\nn = int(input())\npoints = [tuple(map(int, input().split())) for _ in range(n)]\n\nfrom collectio(...TRUNCATED) | "<think>\nOkay, let's see. So the problem is to assign either 'r' or 'b' to each point such that for(...TRUNCATED) | 4 |
"Julia is conducting an experiment in her lab. She placed several luminescent bacterial colonies in (...TRUNCATED) | "<think>\nOkay, let's see. The problem is about finding the number of possible distinct configuratio(...TRUNCATED) | "\nMOD = 10**9 + 7\n\nn = int(input())\ns = input().strip()\n\n# We need to precompute for each inte(...TRUNCATED) | "<think>\nOkay, let's see. The problem is about finding the number of possible distinct configuratio(...TRUNCATED) | 5 |
"You are given a directed graph G with n vertices and m arcs (multiple arcs and self-loops are allow(...TRUNCATED) | "<think>\nOkay, I need to find the maximum possible k such that the directed graph can be colored in(...TRUNCATED) | "\nimport sys\nfrom math import gcd\nfrom collections import deque\n\ndef main():\n sys.setrecurs(...TRUNCATED) | "<think>\nOkay, I need to find the maximum possible k such that the directed graph can be colored in(...TRUNCATED) | 6 |
"Once Bob saw a string. It contained so many different letters, that the letters were marked by numb(...TRUNCATED) | "<think>\nOkay, let's tackle this problem. So, Bob is deleting repeats from a string, and I need to (...TRUNCATED) | "\nn = int(input())\ns = list(map(int, input().split()))\n\nB = 10**9 + 7\nM = 10**18 + 3\n\npower =(...TRUNCATED) | "<think>\nOkay, let's tackle this problem. So, Bob is deleting repeats from a string, and I need to (...TRUNCATED) | 7 |
"You have matrix a of size n × n. Let's number the rows of the matrix from 1 to n from top to botto(...TRUNCATED) | "<think>\nOkay, let's see. The problem is to determine if there's some integer k ≥ 1 such that the(...TRUNCATED) | "\nimport sys\nimport math\nfrom collections import deque\nfrom functools import reduce\n\nn = int(s(...TRUNCATED) | "<think>\nOkay, let's see. The problem is to determine if there's some integer k ≥ 1 such that the(...TRUNCATED) | 8 |
"You are given an infinite periodic array a0, a1, ..., an - 1, ... with the period of length n. Form(...TRUNCATED) | 9 |
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