一道c++题，用数组，求大佬解答

有一个游戏是这样玩的，给出一列数字.首先由你在其中任意选择一个数字，然后轮到你的对手选择数字，但他只能从你上一步选择的数字的左边或右边选择一个，之后你也只能从对手上一步选择的数字的左边或右边去选择，直到大家挑选完所有的数字。最后看谁选择的数字总和最大，谁就获胜。 如果一直让你第一个挑选数字，那么你能保证无论有多少个数字，数字怎么排列，你总能赢得比赛吗？

#include <iostream>
#include <vector>

int main() {
    std::vector<int> numbers = {1, 2, 3, 4, 5, 6};
    int player1Score = 0;
    int player2Score = 0;
    int leftIndex = 0;
    int rightIndex = numbers.size() - 1;
    bool player1Turn = true;

    while (leftIndex <= rightIndex) {
        int choice;
        if (player1Turn) {
            std::cout << "Player 1, enter your choice (1 for left, 2 for right): ";
            std::cin >> choice;
            if (choice == 1) {
                player1Score += numbers[leftIndex];
                leftIndex++;
            } else {
                player1Score += numbers[rightIndex];
                rightIndex--;
            }
        } else {
            std::cout << "Player 2, enter your choice (1 for left, 2 for right): ";
            std::cin >> choice;
            if (choice == 1) {
                player2Score += numbers[leftIndex];
                leftIndex++;
            } else {
                player2Score += numbers[rightIndex];
                rightIndex--;
            }
        }
        player1Turn = !player1Turn;
    }

    std::cout << "Player 1 score: " << player1Score << std::endl;
    std::cout << "Player 2 score: " << player2Score << std::endl;

    if (player1Score > player2Score) {
        std::cout << "Player 1 wins!" << std::endl;
    } else if (player2Score > player1Score) {
        std::cout << "Player 2 wins!" << std::endl;
    } else {
        std::cout << "It's a tie!" << std::endl;
    }

    return 0;
}