Minimum number of jumps to reach top | Letuscode

Minimum number of jumps to reach top | Letuscode

Minimum number of jumps to reach top

There are N steps in a staircase, and a person can jump 5 steps at max, i.e he can jump any number of steps between 1 and 5.
What is the minumum number of jumps he has to make to reach the top?

A simple math problem which can be solved using a simple greedy approach. Try to make as many maximum jumps as possible before reaching the top. Take a smaller jump if needed at the end.

For example if there are 10 steps, he can make two maximum jumps of 5 steps each to reach the top.
If there 8 steps, First he can jump 5 steps and then jump 3 steps. So within 2 jumps, he can reach the top.

The code for this very simple. This problem can also be generalized by customizing the jump capacity to any number instead of a fixed number 5.

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