Climb Stairs With Minimum Moves

easy
1. You are given a number n, representing the number of stairs in a staircase.
2. You are on the 0th step and are required to climb to the top.
3. You are given n numbers, where ith element's value represents - till how far from the step you 
     could jump to in a single move.  You can of-course fewer number of steps in the move.
4. You are required to print the number of minimum moves in which you can reach the top of 
     staircase.
Note -> If there is no path through the staircase print null.

Input Format

A number n .. n more elements

Output Format

A number representing the number of ways to climb the stairs from 0 to top.

Constraints

0 <= n <= 20
0 <= n1, n2, .. <= 20

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
10
3
3
0
2
1
2
4
2
0
0
Output
4
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