//
import java.math.*;
import java.util.*;
import java.io.*;
  
public class Main { 
  
    static BufferedReader in;
    static PrintWriter out = new PrintWriter(System.out);
    static String file = "../in";
    static int test = 10; // 0 for local testing, 1 for std input
    static int inf = 1_000_000, mod = 1_000_000_007;

    void swap(int[]ary, int i, int j)
    {
        int t = ary[i];
        ary[i] = ary[j];
        ary[j] = t;
    }
    
    String[] split() throws Exception
    {
        return in.readLine().split(" ");
    }

    int readInt() throws Exception
    {
        return Integer.valueOf(in.readLine());
    }

    long[] toLongArray() throws Exception
    {
        String[] sp = split();
        int n = sp.length;
        long[] ary = new long[n];
        for(int i = 0; i < n; i++) ary[i] = Long.valueOf(sp[i]);
        return ary;
    }

    int[] toIntArray() throws Exception
    {
        String[] sp = split();
        int n = sp.length;
        int[] ary = new int[n];
        for(int i = 0; i < n; i++) ary[i] = Integer.valueOf(sp[i]);
        return ary;
    }

    String reverse(String str)
    {
        return new StringBuilder(str).reverse().toString();
    }


    long pow(long a, int pow)
    {
        long res = 1;
        while(pow > 0)
        {
            if(pow % 2 != 0) {
                res *= a;
                res %= mod;
            }
            a = a * a;
            a %= mod;
            pow /= 2;
        }

        return res;
    }

    public static void main(String[] args) throws Exception
    {
        int _k = Integer.valueOf("1");
        if(test > 0) in = new BufferedReader(new InputStreamReader(System.in));
        else in = new BufferedReader(new FileReader(file));
        if(test < 0) {String[] str = in.readLine().split(" ");}
/***********************************************************************/
/***********************************************************************/
/***********************************************************************/
/***********************************************************************/
        // System.out.println((-100 + 0) / 2);

        new Main().b();
        out.flush();
    }
    
    void b() throws Exception
    {
        int[] ary = toIntArray();
        int A = ary[0], B = ary[1], M = ary[2];
        int[]a = toIntArray();
        int[]b = toIntArray();

        int miniA = a[0];
        for(int aa : a)
        {
            miniA = Math.min(miniA, aa);
        }
        
        
        int miniB = b[0];
        for(int bb : b)
        {
            miniB = Math.min(miniB, bb);
        }

        int miniAB = miniA + miniB;
        for(int i = 0; i < M; i++)
        {
            ary = toIntArray();
            
            ary[0]--;
            ary[1]--;

            miniAB = Math.min(miniAB, a[ary[0]] + b[ary[1]] - ary[2]);
        }
        out.println(miniAB);
    }

    void a() throws Exception
    {
        String str = in.readLine();
        int n = str.length();
        boolean flag = true;
        if(n % 2 != 0) 
        {
            flag = false;
        }

        for(int i = 0; i < n; i++)
        {
            if(i % 2 == 0)
            {
                if(str.charAt(i) != 'h') flag = false;
            }
            else
            {
                if(str.charAt(i) != 'i') flag = false;
            }
        }
        if(flag) out.println("Yes");
        else out.println("No");
    }

}

Measured memory_bytes: 53684