Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

4
1 2 2 1

Sample Output 1

2

The minimum number of watering operations required is 2.
One way to achieve it is:

Perform the operation with (l,r)=(1,3).

Perform the operation with (l,r)=(2,4).

Sample Input 2

5
3 1 2 3 1

Sample Output 2

5

Sample Input 3

8
4 23 75 0 23 96 50 100

Sample Output 3

221

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int[] h = new int[n];
        for (int i=0; i<n; i++) {
            h[i] = sc.nextInt();
        }

        int numWaterings = 0;
        boolean nonZeroTreeFound = true;
        while (nonZeroTreeFound) {
        	nonZeroTreeFound = false;
            boolean oldBunchOfTreesEnded = false;
            for (int i=0; i<n; i++) {
            	if (h[i] > 0) {
                	nonZeroTreeFound = true;
                    h[i]--;
                    oldBunchOfTreesEnded = false;
                } else {
                	if (nonZeroTreeFound && !oldBunchOfTreesEnded) {
                      oldBunchOfTreesEnded = true;
                      numWaterings++;
                    }
                }
            }
            if (nonZeroTreeFound && !oldBunchOfTreesEnded) {
            	numWaterings++;
            }
        }
        System.out.println(numWaterings);
    }
}