import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayList;
import java.util.Collections;
import java.util.HashMap;
import java.util.HashSet;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.NoSuchElementException;
import java.util.Set;

public class Main {
	public static void main(String args[]) throws IOException {
		FastScanner fs = new FastScanner();
		int refNum = fs.nextInt();
		int renjiNum = fs.nextInt();
		int couNum = fs.nextInt();
		List<Integer> refp = new ArrayList<Integer>();
		List<Integer> renjip = new ArrayList<Integer>();
		int x;
		int y;
		int c;
		int refpmin = Integer.MAX_VALUE;
		int renjipmin = Integer.MAX_VALUE;
		int tmp;
		int tmpP = Integer.MAX_VALUE;

		for(int i = 0; i < refNum; i++) {
			tmp = fs.nextInt();
			refp.add(tmp);
			if(refpmin >= tmp) {
				refpmin = tmp;
			}
		}
		for(int j = 0; j < renjiNum; j++) {
			tmp = fs.nextInt();
			if(renjipmin >= tmp) {
				renjipmin = tmp;
			}
			renjip.add(tmp);
		}

		for(int k = 0; k < couNum; k++) {
			x = fs.nextInt();
			y = fs.nextInt();
			c = fs.nextInt();
			tmp = refp.get(x-1) + renjip.get(y-1) - c;
			if(tmpP >= tmp) {
				tmpP = tmp;
			}
		}
		if(renjipmin + refpmin >= tmpP) {
			System.out.println(tmpP);
		} else {
			System.out.println(renjipmin + refpmin );
		}

}
}




class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
        return (int) nl;
    }
    public double nextDouble() { return Double.parseDouble(next());}
}



Measured memory_bytes: 31456