#include<fstream>
using namespace std;
ifstream in("diamant.in");
ofstream out("diamant.out");
int sum,i,j,v[4001],d,n,m,k,sol,mat[2][90200],bonus;
int main(){
    in >> n >> m >> k;
    for( i = 1; i <= n; i ++ ){
        for( j = 1; j <= m; j ++ ){
            v[++d]=i*j;
            sum+=i*j;
        }
    }
    sum+=n*m;
    if( k < -1*sum ){
        out<<0;
    }
    else{
    for( i = 1; i <= d; i ++ ){
        for( j = -sum+n*m; j <= sum;j ++ ){
            bonus = 0;
            if(mat[(i-1)%2][j+sum-v[i]] > 0 ){
                bonus+=mat[(i-1)%2][j+sum-v[i]];
            }
            if( mat[(i-1)%2][j+sum+v[i]] > 0 ){
                bonus+=mat[(i-1)%2][j+sum+v[i]];
            }
            if( v[i] == j  || v[i] == -1*j  ){
                bonus += 1;
            }
            mat[i%2][j+sum] = bonus + mat[(i-1)%2][j+sum];
        }
    }
    out << mat[d%2][k+sum];
    }
    return 0;
}