Count ways to reach the nth stair
Question
Count ways to reach the nth stair
Solution
The problem you're referring to is a classic problem in dynamic programming. The problem can be solved by using the concept of Fibonacci series. Here's a step-by-step solution in Python:
- Define a function, let's call it
count_ways, that takes an integernas an argument. This integer represents the number of stairs.
def count_ways(n):
- If
nis 1 or 2, returnnbecause there is only one way to reach the first stair (one step) and
Similar Questions
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You are climbing a staircase. It takes n steps to reach the top.Each time you can either climb 1 or 2 steps. In how many distinct ways can you climb to the top? Example 1:Input: n = 2Output: 2Explanation: There are two ways to climb to the top.1. 1 step + 1 step2. 2 stepsExample 2:Input: n = 3Output: 3Explanation: There are three ways to climb to the top.1. 1 step + 1 step + 1 step2. 1 step + 2 steps3. 2 steps + 1 step Constraints:1 <= n <= 45
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is currently standing at stair 0 and wants to reach exactly the stair numbered C.The programmer can climb either H steps or 1 step in one move. Find the minimum number of moves required by the programmer to reach exactly the stair C.Input FormatThe first line of input will contain a single integer T, denoting the number of test cases.Each test case consists of a single line of input containing two space separated integers C and H denoting the number of stair the programmer wants to reach and the number of stairs the programmer can climb in one move.Constraints1 <= T <= 5001 <= C, H <= 100Output FormatFor each test case, output the minimum number of moves required by the programmer to reach exactly the stair numbered C.Sample Input 044 28 33 42 1Sample Output 02432Sample Input 13374 30588 71305 309Sample Output 17018305
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