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/**
* Recursive Staircase Problem (Iterative Solution).
*
* @param {number} stairsNum - Number of stairs to climb on.
* @return {number} - Number of ways to climb a staircase.
*/
export default function recursiveStaircaseIT(stairsNum) {
if (stairsNum <= 0) {
// There is no way to go down - you climb the stairs only upwards.
// Also you don't need to do anything to stay on the 0th step.
return 0;
}
// Init the number of ways to get to the 0th, 1st and 2nd steps.
const steps = [1, 2];
if (stairsNum <= 2) {
// Return the number of possible ways of how to get to the 1st or 2nd steps.
return steps[stairsNum - 1];
}
// Calculate the number of ways to get to the n'th step based on previous ones.
// Comparing to Dynamic Programming solution we don't store info for all the steps but
// rather for two previous ones only.
for (let currentStep = 3; currentStep <= stairsNum; currentStep += 1) {
[steps[0], steps[1]] = [steps[1], steps[0] + steps[1]];
}
// Return possible ways to get to the requested step.
return steps[1];
}
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