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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>
using namespace std;

int main() {
	int N;
	cin >> N;
	vector<int> h(N);
	for (int i = 0; i < N; i++) {
		cin >> h[i];
	}
	int cnt;
	for (cnt = 0; cnt < 100001; cnt++) {
		for (int i= 0; i < N; i++) {
			if (i == N-1 && h[i] == 0) goto LOOPOUT;
			if (h[i] == 0) continue;
			for (int j = i; j < N; j++) {
				if (h[j]) {
					h[j]--;
				}
				else {
					break;
				}
			}
			break;
		}
	}
LOOPOUT:
	cout << cnt << endl;
	return 0;
}