There are n boys and m girls attending a theatre club. To set a play "The Big Bang Theory", they need to choose a group containing exactly t actors containing no less than 4 boys and no less than one girl. How many ways are there to choose a group? Of course, the variants that only differ in the composition of the troupe are considered different.

Perform all calculations in the 64-bit type: long long for С/С++, int64 for Delphi and long for Java.

Input

The only line of the input data contains three integers n, m, t (4 ≤ n ≤ 30, 1 ≤ m ≤ 30, 5 ≤ t ≤ n + m).

Output

Find the required number of ways.

Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specificator.

Examples

Input

5 2 5


Output

10


Input

4 3 5


Output

3
import java.io.BufferedReader;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.io.StreamTokenizer;
import java.util.Stack;


public class A {
    
    
    
    public static void main(String[] args)throws Exception {
        int n = nextInt(), m = nextInt(), t = nextInt();
        
        long[][] C = new long[100][100];
        
        for(int i = 0; i<100; i++) {
            C[i][0] = C[i][i] = 1;
            for(int j = 1;j<i; j++) {
                C[i][j] = C[i-1][j]+C[i-1][j-1];
            }
        }
        
        long ans = 0;
        for(int i = 4; i<=n; i++) {
            int m1 = t - i;
            if(m1 < 1 || m1>m)continue;
            ans += C[n][i]*C[m][m1];
        }
        
        println(ans);
    }
    
    /////////////////////////////////////////////////////////////////
    // IO
    /////////////////////////////////////////////////////////////////
    private static StreamTokenizer in;
    private static PrintWriter out;
    private static BufferedReader inB;
    
    private static boolean FILE=false;
    
    private static int nextInt() throws Exception{
        in.nextToken();
        return (int)in.nval;
    }
    
    private static String nextString() throws Exception{
        in.nextToken();
        return in.sval;
    }
    
    static{
        try {
            out = new PrintWriter(FILE ? (new FileOutputStream("output.txt")) : System.out);
            inB = new BufferedReader(new InputStreamReader(FILE ? new FileInputStream("input.txt") : System.in));
        } catch(Exception e) {e.printStackTrace();}
        in = new StreamTokenizer(inB);
    }
    /////////////////////////////////////////////////////////////////
    
    /////////////////////////////////////////////////////////////////
    // pre - written
    /////////////////////////////////////////////////////////////////
    private static void println(Object o) throws Exception {
        out.println(o);
        out.flush();
    }
    private static void exit(Object o) throws Exception {
        println(o);
        exit();
    }
    private static void exit() {
        System.exit(0);
    }
    private static final int  INF = Integer.MAX_VALUE;
    private static final int MINF = Integer.MIN_VALUE;
    //////////////////////////////////////////////////////////////////
}
