Problem: When Kefa came to the restaurant and sat at a table, the waiter immediately brought him the menu. There were n dishes. Kefa knows that he needs exactly m dishes. But at that, he doesn't want to order the same dish twice to taste as many dishes as possible. 

Kefa knows that the i-th dish gives him ai units of satisfaction. But some dishes do not go well together and some dishes go very well together. Kefa set to himself k rules of eating food of the following type — if he eats dish x exactly before dish y (there should be no other dishes between x and y), then his satisfaction level raises by c. 

Of course, our parrot wants to get some maximal possible satisfaction from going to the restaurant. Help him in this hard task!

Input

The first line of the input contains three space-separated numbers, n, m and k (1 ≤ m ≤ n ≤ 18, 0 ≤ k ≤ n * (n - 1)) — the number of dishes on the menu, the number of portions Kefa needs to eat to get full and the number of eating rules.

The second line contains n space-separated numbers ai, (0 ≤ ai ≤ 109) — the satisfaction he gets from the i-th dish.

Next k lines contain the rules. The i-th rule is described by the three numbers xi, yi and ci (1 ≤ xi, yi ≤ n, 0 ≤ ci ≤ 109). That means that if you eat dish xi right before dish yi, then the Kefa's satisfaction increases by ci. It is guaranteed that there are no such pairs of indexes i and j (1 ≤ i < j ≤ k), that xi = xj and yi = yj.

Output

In the single line of the output print the maximum satisfaction that Kefa can get from going to the restaurant.

Examples

Input

2 2 1
1 1
2 1 1


Output

3


Input

4 3 2
1 2 3 4
2 1 5
3 4 2


Output

12

Note

In the first sample it is best to first eat the second dish, then the first one. Then we get one unit of satisfaction for each dish and plus one more for the rule.

In the second test the fitting sequences of choice are 4 2 1 or 2 1 4. In both cases we get satisfaction 7 for dishes and also, if we fulfill rule 1, we get an additional satisfaction 5.

Solution (in JAVA):

Solution:
import java.io.*;
import java.lang.reflect.Array;
import java.math.BigInteger;
import java.util.*;
import java.io.IOException;
import java.io.InputStream;
import java.util.regex.Matcher;
import java.util.regex.Pattern;
import java.util.stream.Collector;
import java.util.stream.Collectors;
import java.util.stream.IntStream;

public class Main {
    public static void main(String[] args) {

        File file = new File("in.txt");
        File fileOut = new File("out.txt");
        InputStream inputStream = null;
        OutputStream outputStream = null;
        // try {inputStream= new FileInputStream(file);} catch (FileNotFoundException ex){return;};
//        try {outputStream= new FileOutputStream(fileOut);} catch (FileNotFoundException ex){return;};
        inputStream = System.in;
        outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Task solver = new Task();
        solver.solve(1, in, out);
        out.close();
    }


}

class Task {
    private int[] sat;
    private int[][] relToSat;
    public void solve(int testNumber, InputReader in, PrintWriter out) {
        Integer n = in.nextInt();
        Integer m = in.nextInt();
        Integer k = in.nextInt();
        sat = new int[n];
        relToSat = new int[n][n];
        for(int i=0; i<n; i++){
            sat[i] = in.nextInt();
        }
        for(int i=0; i<k; i++){
            relToSat[in.nextInt()-1][in.nextInt()-1] = in.nextInt();
        }

        Long maxSat = 0L;

        long[][] dp = new long[1<<n][n];

        Stack<IntPair> st = new Stack<>();


        for(int i=0; i<n; i++){
            Integer val = setBit(0, i);
            dp[val][i] = sat[i];
            if(m == 1){
                maxSat = Math.max(maxSat, sat[i]);
            }
        }


        for(int i=1; i<(1<<n); i++){
            for(int j=0; j<n; j++){

                if(!isBitSet(i,j)){
                    continue;
                }

                for(int l=0; l<n; l++){

                    if(isBitSet(i, l)){
                        continue;
                    }

                    Integer mod = 0;
                    if(i>0) {
                        mod = relToSat[j][l];
                    }

                    Integer newVal = setBit(i, l);
                    Long satVal = dp[i][j] + mod + sat[l];
                    dp[newVal][l] = Math.max(dp[newVal][l], satVal);
                    if(Integer.bitCount(newVal) == m){
                        maxSat = Math.max(maxSat, satVal);
                    }
                }
            }
        }
        out.println(maxSat);
    }


    public Integer setBit(Integer i, Integer bit){
        Integer val = 1 << bit;
        return i | val;
    }

    public Boolean isBitSet(Integer i, Integer bit){
        Integer val = 1 << bit;
        return (i & val) > 0;
    }

    public Integer countSetBits(Integer i){
        Integer count = 0;
        while(i>0){
            if(i%2 == 1){
                count++;
            }
            i = i>>1;
        }
        return count;
    }




}



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 String nextLine(){
        try {
            return reader.readLine();
        } catch (IOException e){
            throw new RuntimeException(e);
        }
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }
    public long nextLong() { return Long.parseLong(next()); }

}



class Pair<F, S> {
    public final F first;
    public final S second;




    public Pair(F first, S second) {
        this.first = first;
        this.second = second;
    }

    @Override
    public boolean equals(Object o) {
        if (!(o instanceof Pair)) {
            return false;
        }
        Pair<?, ?> p = (Pair<?, ?>) o;
        return Objects.equals(p.first, first) && Objects.equals(p.second, second);
    }

    @Override
    public int hashCode() {
        return (first == null ? 0 : first.hashCode()) ^ (second == null ? 0 : second.hashCode());
    }

    @Override
    public String toString() {
        return "(" + first + ", " + second + ')';
    }
}

class IntPair extends Pair<Integer, Integer>{
    public IntPair(Integer first, Integer second){
        super(first, second);
    }
}