17070.cpp

#include<iostream>

using namespace std;

int map[17][17] = {0, };
int n;
int dp[17][17][3] = {0, };//0:가로, 1:세로, 2:대각선

int main(){
    ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
    cin >> n;
    for(int i = 1 ; i <= n; i++){
        for(int j = 1; j <= n; j++){
            cin >> map[i][j];
        }
    }
    dp[1][2][0] = 1;
    for(int i = 1; i <= n; i++){
        for(int j = 1; j <= n; j++){
            if(i == 1 && j == 2)continue;
            if(map[i][j] == 0){
                dp[i][j][0] = dp[i][j-1][0] + dp[i][j-1][2];
                dp[i][j][1] = dp[i-1][j][1] + dp[i-1][j][2];
                if(map[i-1][j] == 0 && map[i][j-1] == 0){
                    dp[i][j][2] = dp[i-1][j-1][0] + dp[i-1][j-1][1] + dp[i-1][j-1][2];
                }
            }
            
        }
    }
    cout << dp[n][n][0] + dp[n][n][1] + dp[n][n][2];
}