import java.io.IOException;
import java.io.InputStream;
import java.util.*;
import java.util.Map.Entry;
import java.util.NoSuchElementException;
import static java.lang.Math.E;
import static java.lang.Math.PI;
import static java.lang.Math.abs;
import static java.lang.Math.acos;
import static java.lang.Math.asin;
import static java.lang.Math.atan2;
import static java.lang.Math.atan;
import static java.lang.Math.cos;
import static java.lang.Math.exp;
import static java.lang.Math.hypot;
import static java.lang.Math.log;
import static java.lang.Math.max;
import static java.lang.Math.min;
import static java.lang.Math.sin;
import static java.lang.Math.sqrt;
import static java.lang.Math.tan;
import static java.lang.String.format;
import static java.lang.System.currentTimeMillis;
import static java.math.BigInteger.ONE;
import static java.math.BigInteger.TEN;
import static java.math.BigInteger.ZERO;
import static java.util.Arrays.fill;
import static java.util.Arrays.sort;
import static java.util.Collections.sort;
import static java.util.Comparator.reverseOrder;
import static java.util.Objects.isNull;
import static java.util.Objects.nonNull;

public class Main {
    public static void main(String[] args) {
        FastScanner fsc = new FastScanner();
        int a = fsc.nextInt();
        int b = fsc.nextInt();
        int m = fsc.nextInt();
        int[] pa = new int[a];
        int amin = Const.IINF;
        for (int i = 0; i < a; i++) {
            pa[i] = fsc.nextInt();
            amin = min (amin, pa[i]);
        }
        int[] pb = new int[b];
        int bmin = Const.IINF;
        for (int i = 0; i < b; i++) {
            pb[i] = fsc.nextInt();
            bmin = min (bmin, pb[i]);
        }
        int min = amin + bmin;
        for (int i = 0; i < m; i++) {
            int x = fsc.nextInt() - 1;
            int y = fsc.nextInt() - 1;
            int c = fsc.nextInt();
            min = min(min, pa[x] + pb[y] - c);
        }
        System.out.println(min);
    }
}


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());
    }
}

class Const {
    public static final long MOD7 = 1_000_000_007;
    public static final long MOD9 = 1_000_000_009;
    public static final long MOD99 = 998_244_353;

    public static final long LINF = 1_000_000_000_000_000_000l;
    public static final int IINF = 1_000_000_000;
    public static final double DINF = 1e150;

    public static final double DELTA = 0.000_000_000_1;
    public static final double LDELTA = 0.000_001;

    public static final String YES = "YES";
    public static final String NO = "NO";
    public static final String Yes = "Yes";
    public static final String No = "No";
    public static final String POSSIBLE = "POSSIBLE";
    public static final String IMPOSSIBLE = "IMPOSSIBLE";
    public static final String Possible = "Possible";
    public static final String Impossible = "Impossible";

    public static final int[] dx8 = {1, 0, -1, 0, 1, -1, -1, 1};
    public static final int[] dy8 = {0, 1, 0, -1, 1, 1, -1, -1};
    public static final int[] dx = {1, 0, -1, 0};
    public static final int[] dy = {0, 1, 0, -1};

    public static long MOD = MOD7;

    public static void setMod(long mod) {
        MOD = mod;
    }

    private Const(){}
}


Measured memory_bytes: 23600