Software Developer

Given an M * N matrix, where the value at any cell denotes the height of that cell in a 2-D elevation map. You need to find the volume of water that can be trapped within it.

For a matrix = 
[ 5, 5, 5 ]
[ 5, 2, 3 ]
[ 6, 9, 8 ]  

2-D elevation map will look like this

After the rain, a total of 1 unit volume of water gets trapped, and this 2-D elevation map will look like this

You have been given a number of stairs. Initially, you are at the 0th stair, and you need to reach the Nth stair.

Each time, you can climb either one step or two steps.

You are supposed to return the number of distinct ways you can climb from the 0th step to the Nth step.

Note:

Note: Since the number of ways can be very large, return the answer modulo 1000000007.

Example :

N=3

We can climb one step at a time i.e. {(0, 1) ,(1, 2),(2,3)} or we can climb the first two-step and then one step i.e. {(0,2),(1, 3)} or we can climb first one step and then two step i.e. {(0,1), (1,3)}.

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