Solving Hari Prasad Misra's Staircase Problem with Max 2 Steps

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SUMMARY

Hari Prasad Misra's Staircase Problem involves calculating the number of ways to climb a staircase with a maximum of 2 steps at a time. The problem requires a program that takes the number of stairs as input (0 ≤ N ≤ 100) and outputs the total possible ways to reach the top. For example, with 3 stairs, there are 3 ways to climb: (1,1,1), (1,2), and (2,1). The output for 6 stairs is 13, for 4 stairs is 5, and for 3 stairs is 3.

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  • Implement a dynamic programming solution for the staircase problem
  • Explore Fibonacci sequence applications in combinatorial problems
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  • Study input validation techniques for user input in programming
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Hari Prasad Misra Of IT Branch has to climb up stairs daily to reach to his class room. But
daily he doesn’t manage to reach in the class room on time.
So, he decided to form a program which tells him in how many ways he can climb upstairs
and reach to his class room.
But he can climb Maximum of 2 Stairs at one time.
You need to write a program for him in order to calculate the NO. of possible ways to reach
when he can climb one step, two steps, or one or two steps both simultaneously to reach up
stairs.
Example:
Here No of stairs are =3
So the possible ways are 3 stairs
First way 1,1,1(steps)
Second way 1,2(steps)
Third Way 2,1(steps)
So the no of ways are= 3
INPUT You have to take No. of staircases as an input. Where No. (0<=N<=100).
OUTPUT You have to print the No. of Possible ways.
Sample Input:
6
4
3
Sample Output
13
5
3
 
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No, believe it or not, I do not have to write a program for him! Perhaps you do and, if you get started on it, someone here might make suggestions how to improve your program.
 

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