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: Accepted)

import java.util.Scanner;
class Main{


	static char[][] map;

	static long[][] c;
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);			//文字の入力
		int n = sc.nextInt();
		int[] a = new int[n+1];
		int[] b = new int[n];

		for(int i = 0;i < n+1;i++){
			a[i] = sc.nextInt();	
		}
		for(int i = 0;i < n;i++){
			b[i] = sc.nextInt();
		}
		long ans = 0;
		long sup = 0;
		long calc = 0;
		for(int i = 0;i < n;i++){
			calc = a[i];
			if(sup > 0){
				calc -= sup;
			}
			if(calc < 0){				//あまり分で全部倒した時
				sup = b[i];
				ans += a[i];
			}else{
				calc -= b[i];
				if(calc <= 0){			//あまり+i番目の勇者の力で全部倒した時
					sup = -calc;
					ans += a[i];
				}else{
					sup = 0;
					ans += a[i]- calc;
				}
			}
			
			//System.out.println("sup " + sup);
			
		}
		
		if(a[n] - sup > 0){
			ans += sup;
			
		}else{
			ans += a[n];
		}
		System.out.println(ans);
		
		
		
		
		
		
	}
	static boolean check(int[] cc){
		for(int i = 0;i < cc.length-1;i++){
			if(cc[i] > cc[i+1]){
				return false;
			}
		}
		return true;
	}



	static int gcd(int a,int b){				//最大公約数を返す
		if(b == 0){
			return a;
		}else{
			return gcd(b, a%b);
		}
	}
	static long gcd(long a,long b){
		if(b == 0){
			return a;
		}else{
			return gcd(b, a%b);
		}
	}



	static long lcm (long a, long b) {
		long g = gcd(a,b);
		return a/g*b;
	}




}



class Pair implements Comparable{
	int from;
	int end;
	@Override
	public int compareTo(Object other) {
		Pair otherpair = (Pair)other;

		return   end- otherpair.end;
	}








}