ATP 是怎么做的呢

Question

Description

All the tennis players are ordered by their results in an ATP (Association of Tennis Professionals) classification. The past year's statistics say that in a game, if the difference between the two opponents is more than k places in the ATP top, then the player with the better classification will win for sure; but if the difference between the players is of k places or less, then the winner is uncertain.

In a tournament that will take place in an eliminatory system, n professional players announced their participation (n = 2x, x∈N, n <= 5000). Find the player with the worst classification who could theoretically win the tournament.
Input

The input contains n and k separated by one space.
Output

The output contains a single integer, the position in the ATP classification who will win the tournament.
Sample Input

16 3
Sample Output

11

Answer 1

以下回答参考 皆我百晓生、券券喵儿 等免费微信小程序相关内容作答，并由本人整理回复。

# import necessary libraries
import numpy as np

def main():
    # read input from stdin
    n, k = map(int, input().split())
    
    # define a list to store all possible winners
    winners = []
    
    # calculate the number of games needed to determine the winner
    num_games = int(n / 2)
    
    # iterate through all possible outcomes of each game
    for i in range(num_games):
        # calculate the number of points won by each player
        p1_points = n - i
        p2_points = i
        
        # check if p1 wins
        if p1_points > k:
            winners.append(p1_points)
            
        # check if p2 wins
        elif p2_points > k:
            winners.append(p2_points)
            
    # return the index of the minimum value in the list
    return np.argmin(winners)

if __name__ == "__main__":
    main()

This code defines a function main() that takes two integers n and k as inputs and outputs the index of the worst ranked player who has a higher chance of winning the tournament based on the given conditions. The code uses NumPy for array manipulation.