#abc116c. [abc116_c]Grand Garden

[abc116_c]Grand Garden

Problem Statement

In a flower bed, there are NN flowers, numbered 1,2,......,N1,2,......,N. Initially, the heights of all flowers are 00. You are given a sequence h=h1,h2,h3,......h=\\{h_1,h_2,h_3,......\\} as input. You would like to change the height of Flower kk to hkh_k for all kk (1leqkleqN)(1 \\leq k \\leq N), by repeating the following "watering" operation:

  • Specify integers ll and rr. Increase the height of Flower xx by 11 for all xx such that lleqxleqrl \\leq x \\leq r.

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

Constraints

  • 1leqNleq1001 \\leq N \\leq 100
  • 0leqhileq1000 \\leq h_i \\leq 100
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

NN h1h_1 h2h_2 h3h_3 ............ hNh_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 22. One way to achieve it is:

  • Perform the operation with (l,r)=(1,3)(l,r)=(1,3).
  • Perform the operation with (l,r)=(2,4)(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