'Coding has over 700 languages', '67% of programming jobs aren’t in the technology industry', 'Coding is behind almost everything that is powered by electricity'
Topics

# Frog Jump

Easy
0/40
Average time to solve is 30m
Contributed by

## Problem statement

There is a frog on the '1st' step of an 'N' stairs long staircase. The frog wants to reach the 'Nth' stair. 'HEIGHT[i]' is the height of the '(i+1)th' stair.If Frog jumps from 'ith' to 'jth' stair, the energy lost in the jump is given by absolute value of ( HEIGHT[i-1] - HEIGHT[j-1] ). If the Frog is on 'ith' staircase, he can jump either to '(i+1)th' stair or to '(i+2)th' stair. Your task is to find the minimum total energy used by the frog to reach from '1st' stair to 'Nth' stair.

For Example
``````If the given ‘HEIGHT’ array is [10,20,30,10], the answer 20 as the frog can jump from 1st stair to 2nd stair (|20-10| = 10 energy lost) and then a jump from 2nd stair to last stair (|10-20| = 10 energy lost). So, the total energy lost is 20.
``````
Detailed explanation ( Input/output format, Notes, Images )
Constraints:
``````1 <= T <= 10
1 <= N <= 100000.
1 <= HEIGHTS[i] <= 1000 .

Time limit: 1 sec
``````
Sample Input 1:
``````2
4
10 20 30 10
3
10 50 10
``````
Sample Output 1:
``````20
0
``````
Explanation of sample input 1:
``````For the first test case,
The frog can jump from 1st stair to 2nd stair (|20-10| = 10 energy lost).
Then a jump from the 2nd stair to the last stair (|10-20| = 10 energy lost).
So, the total energy lost is 20 which is the minimum.

For the second test case:
The frog can jump from 1st stair to 3rd stair (|10-10| = 0 energy lost).
So, the total energy lost is 0 which is the minimum.
``````2
``````7