Climb Stairs With Variable Jumps

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 jump fewer number of steps in the move.
4. You are required to print the number of different paths via which you can climb to the top.

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

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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
5
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