101162: [AtCoder]ABC116 C - Grand Garden
Memory Limit:256 MB
Time Limit:2 S
Judge Style:Text Compare
Creator:
Submit:0
Solved:0
Description
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