Punct sa/Saddle point c++

#include <iostream>
#include <time.h>
#include <stdio.h>

using namespace std;
#define nr_lin 5
#define nr_col 5

int main() {
    srand(time(0));
    int i, j, nr_inc = 1, min = INT_MAX, max = INT_MIN,vect_col[nr_col],
    vect_lin[nr_lin],vect_min[nr_col],vect_rez[nr_col],col_dor, lin_dor,int_mare=0, cont_vect = 0,incr=0;
    bool mare;
    int mat[nr_lin][nr_col] = { 5,12,7, 3,12,
                                4, 10,6, 2,8,
                                10,24,17,7,10,
                                9,21,10,8,12,
                                2,18,22,4,15};



    for (i = 0; i < nr_lin; i++) {
        for (j = 0; j < nr_col; j++) {
            cout << mat[i][j] << "  ";
        }
        cout << endl;
    }

    cout << endl;

    for (i = 0; i < nr_lin;i++) {
        for (j = 0; j < nr_col;j++) {
            if (mat[i][j]<min) {
                min = mat[i][j];
                col_dor = j;
                lin_dor = i;
            }
        }
        vect_col[cont_vect] = col_dor;
        vect_lin[cont_vect] = lin_dor;
        vect_min[cont_vect++] = min;
        min = INT_MAX;
    }

    for (i = 0; i < nr_lin;i++) {
        for (j = 0; j < nr_col;j++) {
            if (mat[i][vect_col[incr]] < mat[j][vect_col[incr]]) {
                mare = false;
                break;
            }
        }
        if (mare) {
            vect_rez[int_mare++] = mat[i][vect_col[incr]];
        }
        mare = true;
        incr++;
    }


    for (i = 0; i <int_mare; i++) {
        cout << vect_rez[i] << " Este numar sa" << endl;
    }




    system("pause");
}