# USACO 2016 December Contest, Platinum Problem 2. Team Building

USACO2016DEC-G2

import java.io.*;
import java.util.*;
public class team {
public static void main(String[] args) throws IOException {
PrintWriter pw = new PrintWriter(new BufferedWriter(new FileWriter("team.out")));
final int MOD = 1000000009;
int n = Integer.parseInt(st.nextToken());
int m = Integer.parseInt(st.nextToken());
int k = Integer.parseInt(st.nextToken());
int[] a = new int[n];
int[] b = new int[m];
for(int i = 0; i < n; i++) {
a[i] = Integer.parseInt(st.nextToken());
}
for(int i = 0; i < m; i++) {
b[i] = Integer.parseInt(st.nextToken());
}
long[][] dp = new long[n+1][m+1];
for(int i = 0; i < dp.length; i++) {
Arrays.fill(dp[i], 1);
}
Arrays.sort(a);
Arrays.sort(b);
while(k-- > 0) {
long[][] next = new long[n+1][m+1];
for(int i = 0; i < a.length; i++) {
for(int j = 0; j < b.length; j++) {
if(a[i] <= b[j]) continue;
next[i+1][j+1] += dp[i][j];
}
}
dp = next;
for(int i = 0; i < dp.length; i++) {
for(int j = 0; j < dp[i].length; j++) {
if(i > 0) {
dp[i][j] += dp[i-1][j];
}
if(j > 0) {
dp[i][j] += dp[i][j-1];
if(i > 0) {
dp[i][j] -= dp[i-1][j-1];
}
}
dp[i][j] %= MOD;
dp[i][j] += MOD;
dp[i][j] %= MOD;
}
}
}
pw.println(dp[n][m] % MOD);
pw.close();
}
}