Problem:
Score : 200 points

Problem Statement

You are visiting a large electronics store to buy a refrigerator and a microwave.

The store sells A kinds of refrigerators and B kinds of microwaves. The i-th refrigerator ( 1 \le i \le A ) is sold at a_i yen (the currency of Japan), and the j-th microwave ( 1 \le j \le B ) is sold at b_j yen.

You have M discount tickets. With the i-th ticket ( 1 \le i \le M ), you can get a discount of c_i yen from the total price when buying the x_i-th refrigerator and the y_i-th microwave together. Only one ticket can be used at a time.

You are planning to buy one refrigerator and one microwave. Find the minimum amount of money required.

Constraints

All values in input are integers.

1 \le A \le 10^5

1 \le B \le 10^5

1 \le M \le 10^5

1 \le a_i , b_i , c_i \le 10^5

1 \le x_i \le A

1 \le y_i \le B

c_i \le a_{x_i} + b_{y_i}

Input

Input is given from Standard Input in the following format:

A B M
a_1 a_2 ... a_A
b_1 b_2 ... b_B
x_1 y_1 c_1
\vdots
x_M y_M c_M

Output

Print the answer.

Sample Input 1

2 3 1
3 3
3 3 3
1 2 1

Sample Output 1

5

With the ticket, you can get the 1-st refrigerator and the 2-nd microwave for 3+3-1=5 yen.

Sample Input 2

1 1 2
10
10
1 1 5
1 1 10

Sample Output 2

10

Note that you cannot use more than one ticket at a time.

Sample Input 3

2 2 1
3 5
3 5
2 2 2

Sample Output 3

6

You can get the 1-st refrigerator and the 1-st microwave for 6 yen, which is the minimum amount to pay in this case.
Note that using a ticket is optional.

Solution in C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdlib.h>
#include <stdio.h>

int main() {
    unsigned int a = 0, b = 0, m = 0, x = 0, y = 0, c = 0;
    unsigned int min = 0, amin = 0, bmin = 0;
    unsigned int arra[100001] = {};
    unsigned int arrb[100001] = {};
    int i = 0;
    scanf("%d %d %d ", &a, &b, &m);

    for (i = 0; i < a; i++) {
        scanf("%d ", &arra[i]);
        amin = arra[0];
        if (min > arra[i])
            amin = arra[i];
    }
    for (i = 0; i < b; i++) {
        scanf("%d ", &arrb[i]);
        bmin = arrb[0];
        if (min > arrb[i])
            bmin = arrb[i];
    }
    min = amin + bmin;

    unsigned int premin;
    for (i = 0; i < m; i++) {
        x = y = c = 0;
        scanf("%d %d %d ", &x, &y, &c);
        premin = arra[x - 1] + arrb[y - 1] - c;
        if (premin < min)
            min = premin;
    }

    printf("%d\n", min);

    return 0;
}