SCTF - Cookies

#include <fstream>
#include <iostream>
using namespace std;

ifstream fin("cookies.txt");

bool counted[50][10][10] = {0};
bool win[50][10][10];

// returns true if player 1 wins under the given m, n conditions, false otherwise
// p = number of cookies previous player took, 0 if there is no previous player
bool rec(int m, int n, int p) {
    if(counted[m][n][p]) return win[m][n][p];
    if(m == 1 && p == 1) return false;
    bool flag = false;
    for(int i = min(n, m); i >= 1; i--) {
        if(i == p) continue;
        if(!rec(m-i, n, i)) {
            flag = true;
            break;
        }
    }
    counted[m][n][p] = true;
    win[m][n][p] = flag;
    return flag;
}

int main() {
    int counter = 0;
    int N;
    int m, n;
    fin >> N;
    for(int i = 1; i <= N; i++) {
        fin >> m >> n;
        if(rec(m, n, 0)) counter++;
    }
    cout << counter << endl;
    system("pause");
}