In a flower bed, there are N flowers, numbered 1,2,......,N. Initially, the heights of all flowers are 0. You are given a sequence h=\\{h_1,h_2,h_3,......\\} as input. You would like to change the height of Flower k to h_k for all k (1 \leq k \leq N), by repeating the following "watering" operation:

* Specify integers l and r. Increase the height of Flower x by 1 for all x such that l \leq x \leq r.



Find the minimum number of watering operations required to satisfy the condition.

Constraints

* 1 \leq N \leq 100
* 0 \leq h_i \leq 100
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N
h_1 h_2 h_3 ...... h_N


Output

Print the minimum number of watering operations required to satisfy the condition.

Examples

Input

4
1 2 2 1


Output

2


Input

5
3 1 2 3 1


Output

5


Input

8
4 23 75 0 23 96 50 100


Output

221
import java.util.*;

class Main{
	static Scanner s=new Scanner(System.in);
	public static void main(String[] $){
		int n=s.nextInt()+1;
		int[]a=new int[n];
		for(int i=1;i<n;++i)
			a[i]=s.nextInt();
		int sum=Arrays.stream(a).sum();
		int r=0;
		while(sum>0) {
			for(int i=n-1;i>0;--i) {
				if(a[i]>0) {
					if(a[i-1]<1)
						++r;
					--sum;
					--a[i];
				}
			}
		}
		System.out.println(r);
	}
}