Problem:
Score : 300 points

Problem Statement

There are N+1 towns. The i-th town is being attacked by A_i monsters.

We have N heroes. The i-th hero can defeat monsters attacking the i-th or (i+1)-th town, for a total of at most B_i monsters.

What is the maximum total number of monsters the heroes can cooperate to defeat?

Constraints

All values in input are integers.

1 \leq N \leq 10^5

1 \leq A_i \leq 10^9

1 \leq B_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_{N+1}
B_1 B_2 ... B_N

Output

Print the maximum total number of monsters the heroes can defeat.

Sample Input 1

2
3 5 2
4 5

Sample Output 1

9

If the heroes choose the monsters to defeat as follows, they can defeat nine monsters in total, which is the maximum result.

The first hero defeats two monsters attacking the first town and two monsters attacking the second town.

The second hero defeats three monsters attacking the second town and two monsters attacking the third town.

Sample Input 2

3
5 6 3 8
5 100 8

Sample Output 2

22

Sample Input 3

2
100 1 1
1 100

Sample Output 3

3

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;


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

        Scanner s = new Scanner(System.in);
        
        int yusha = s.nextInt();        // 勇者の数
        int monsters[] = new int[yusha + 1];    //　モンスターの数を格納する
        int strength[] = new int[yusha];        // 勇者の強さを格納する

        // モンスターを倒した数
        int count = 0;

        for (int i = 0; i < yusha+1; i++) {
            monsters[i] = s.nextInt();
        }

        for (int i = 0; i < yusha; i++) {
            strength[i] = s.nextInt();
        }

        // 勇者の数だけループ
        for (int i = 0; i < yusha; i++) {
            // 2つの街を守ろうとする
            for (int j = 0; j < 2; j++) {
                // 勇者よりモンスターが強い場合倒せる限り倒す
                if (monsters[i+j] >= strength[i]) {
                    count += strength[i];
                    strength[i] = 0;
                } else {
                    count += monsters[j + i];   // 一つの街のモンスターをすべて倒す
                    strength[i] = strength[i] - monsters[i+j];  // 勇者の余力
                }
            }
        }

        System.out.println(count);
    }
}