C++数组故障

我试图构建一个井字游戏，由于某种原因，当我试图将一个值放入任何值时，似乎遇到了一个错误，它似乎将所选角色（比如玩家1，因此是一个"X"）放入用户选择的值（他希望它在哪里），但也令人恼火地放入数组的[1][2]和[2][0]。随附代码。

#include "stdafx.h"
#include <iostream>
#include <string>
#include <ctime>
#include <cstdlib>
using namespace System;
using namespace std;
string game_board[2][2];
bool exit_condition = false;
int x_coords;
int y_coords;
int current_player;
string cp_char;
int returnxwin();
int returnowin();
int main()
{
    cout << "Welcome to Tic-Tac-Toe Console!n" << endl;
    //Start of game
    while(exit_condition != true){
        cout << "This is the game board: " << endl;
        cout << " - | 1 | 2 | 3 | " << endl;
        cout << " 1 | " << game_board[0][0] <<" | " <<game_board[1][0] << " | " << game_board[2][0] << " | " <<endl;
        cout << " 2 | " << game_board[0][1] <<" | " <<game_board[1][1] << " | " << game_board[2][1] << " | "<<endl;
        cout << " 3 | " << game_board[0][2] <<" | " <<game_board[1][2] << " | " << game_board[2][2] << " | n"<<endl;
        //TESTING PURPOSES BE SURE TO REMOVE!
        current_player = 1;
        //Says which player is first
        cout << "Player " << current_player << " is first!" << endl;
        //Determines which player is first, and if so, which character to give to them.
        if(current_player == 1)
        {
            cp_char = "X";
        } else if(current_player == 2) 
        {
            cp_char = "Y";
        }
        bool valid_input = false;
        while(valid_input != true){
            cout << "Where would you like to place your " << cp_char << " ? (X co-ordinates(top row))n" ;
            cin >> x_coords;
            cout << "Where would you like to place your " << cp_char << " ? (Y co-ordinates(side row))n" ;
            cin >> y_coords;
            if((x_coords <= 3) && (y_coords <=3))
            {
                if(game_board[x_coords-1][y_coords-1] == "")
                {
                    game_board[1][2] = "";
                    game_board[2][0] = "";
                    //Problem Here!
                    game_board[x_coords-1][y_coords-1] = cp_char;
                    break;
                    valid_input = true;
                }
                else
                {
                    cout << "Invalid Input! Somebody has already taken the slot!" << endl;
                }
            }
            else
            {
                cout << "Invalid input! Please enter a number from 1 to 3" << endl;
            }
        }
        //End of Valid Input Loop
        //make sure to remove break; 
        // break;
    }
    system("pause");
    return 0;
}

我还没有完成比赛，但不知道为什么会发生这种情况：s

另一方面，我也在寻找一种方法来随机决定玩家1还是2先上场。

编辑：我试着按照建议做了[3][3]，但它仍然给了我一个错误。想法？