import java.util.*;
import java.io.*;
import java.io.BufferedReader;
import java.awt.Point;

public class team{
	public static final String TASKNAME = "team";
	public static long mod= 1000000009;
	public static Debug db;

	public static void main(String[] args) throws IOException {
//		InputReader in = new InputReader(System.in);
//		PrintWriter out = new PrintWriter(System.out);
		InputReader in = new InputReader(new FileInputStream(TASKNAME+".in"));
		PrintWriter out = new PrintWriter(new BufferedWriter(new FileWriter(TASKNAME+".out")));
		Autocompletion solver = new Autocompletion();
		db=new Debug(System.getSecurityManager()==null);
		solver.solve(1, in, out);
		out.close();
	}
	static class Autocompletion {

		public void solve(int testNumber, InputReader in, PrintWriter out) {
			int n=in.nextInt();
			int m=in.nextInt();
			int k=in.nextInt();
			long dp[][][]=new long[n][m][k+2];
			long fj[]=new long[n];
			long fp[]=new long[m];
			for(int i=0;i<n;i++) {
				fj[i]=in.nextLong();
			}
			for(int i=0;i<m;i++) {
				fp[i]=in.nextLong();
			}
			for(int i=0;i<=k;i++) {
				for(int j=0;j<n;j++) {
					for(int l=0;l<m;l++) {
						if(j!=0) {
							dp[j][l][i]=(dp[j][l][i]+dp[j-1][l][i])%mod;
						}
						if(l!=0) {
							dp[j][l][i]=(dp[j][l][i]+dp[j][l-1][i])%mod;
						}
						if(l!=0 && j!=0) {
							dp[j][l][i]=(dp[j][l][i]-dp[j-1][l-1][i])%mod;
						}
						if(fj[j]>fp[l]) {
							if(i==0) {
								dp[j][l][i+1]=1;
							}
							else if(j==0 || l==0) {//not possible since i>0
								continue;
							}
							else {
								dp[j][l][i+1]=(dp[j][l][i+1]+dp[j-1][l-1][i])%mod;
							}
						}
					}
				}
			}
			long sum=0;
			for(int i=0;i<n;i++) {
				for(int j=0;j<m;j++) {
					if(fj[i]>fp[j] && i!=0 && j!=0){
						sum=(sum+dp[i-1][j-1][k-1])%mod;
					}
				}
			}
			out.println(sum%mod);
		}

		private void timeout() {
			ArrayList<Integer> arr=new ArrayList<Integer>();
			for(int i=0;i<Integer.MAX_VALUE;i++) {
				arr.add(i);
			}
		}
	}
	static class Pair implements Comparable<Pair>{
		int x;
		int y;
		Pair(int a, int b){
			x=a;
			y=b;
		}
		@Override
		public int compareTo(Pair arg0) {
			if(arg0.x!=x)return x-arg0.x;
			return y-arg0.y;
		}
	}
	static class Triple implements Comparable<Triple>{
		int x;
		int y;
		int z;
		Triple(int a, int b, int c){
			x=a;
			y=b;
			z=c;
		}
		@Override
		public int compareTo(Triple arg0) {
			if(arg0.x!=x)return x-arg0.x;
			return y-arg0.y;
		}
	}

	static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }
        public long nextLong() {
        	return Long.parseLong(next());
        }
        public int[] nextIntArr(int n) {
        	int arr[]=new int[n];
        	for(int i=0;i<n;i++) {
        		arr[i]=this.nextInt();
        	}
        	return arr;
        }
    }
	public static class Debug {
        private boolean allowDebug;

        public Debug(boolean allowDebug) {
            this.allowDebug = allowDebug;
        }

        private void outputName(String name) {
            System.out.print(name + " = ");
        }

        public void debug(String name, int x) {
            if (!allowDebug) {
                return;
            }

            outputName(name);
            System.out.println("" + x);
        }

        public void debug(String name, long x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            System.out.println("" + x);
        }

        public void debug(String name, double x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            System.out.println("" + x);
        }

        public void debug(String name, int[] x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            System.out.println(Arrays.toString(x));
        }

        public void debug(String name, long[] x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            System.out.println(Arrays.toString(x));
        }

        public void debug(String name, double[] x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            System.out.println(Arrays.toString(x));
        }

        public void debug(String name, Pair[] x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            StringBuilder sb = new StringBuilder("[");
            int cnt=0;
            for(Pair y:x) {
            	sb.append('('+y.x+","+y.y+')');
            	if (cnt != x.length-1)sb.append(", ");
            	cnt++;
            }
            System.out.println(sb.append("]").toString());
        }

        public void debug(String name, Object x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            System.out.println("" + x);
        }

        public void debug(String name, Object... x) {
            if (!allowDebug) {
                return;
            }
            outputName(name);
            System.out.println(Arrays.deepToString(x));
        }
    }
}