JavaScript: Distinct ways to climb the staircase

Last update on April 22 2023 12:19:01 (UTC/GMT +8 hours)

JavaScript Math: Exercise-104 with Solution

A staircase consists of N steps, and you are given the choice of climbing one step at a time or two steps at a time.
Write a JavaScript program to find distinct ways to climb the staircase.

Example:
Number of stairs = 2
There are 2 ways to climb the stairs: (1,1) and (2)
Number of stairs = 3
There are 3 ways to climb the stairs: (1,1,1), (2,1) and (1,2)

Visualisation:

JavaScript Math: Distinct ways to climb the staircase.

Test Data:
(2) -> 2
(3) -> 3

Sample Solution:

HTML Code:

<!DOCTYPE html>
<html>
<head>
  <meta charset="utf-8">
  <title>JavaScript program to Distinct ways to climb the staircase</title>
</head>
<body>

</body>
</html>

Solution-1

JavaScript Code:

function test(n) {
    var x = 0,
        y = 1;
    while(n-->0){
        y = x + y;
        x = y - x;
    }
    return b;
 }

n = 2
console.log("Number of stairs = " +n)
console.log("Number of ways to climb the said number of stairs: "+test(n));
n = 3
console.log("Number of stairs = " +n)
console.log("Number of ways to climb the said number of stairs: "+test(n));

Sample Output:

Number of stairs = 2

Flowchart:

$JavaScript: Distinct ways to climb the staircase.$

Live Demo:

See the Pen javascript-math-exercise-104 by w3resource (@w3resource) on CodePen.

Solution-2

JavaScript Code:

function test(n) {
    nums=[];
    nums[1]=1;
    nums[2]=2;
    for(i=3;i<=n;i++){
        nums[i]=nums[i-1]+nums[i-2];
     }
    return nums[n];
 }

n = 2
console.log("Number of stairs = " +n)
console.log("Number of ways to climb the said number of stairs: "+test(n));
n = 3
console.log("Number of stairs = " +n)
console.log("Number of ways to climb the said number of stairs: "+test(n));

Sample Output:

Number of stairs = 2
Number of ways to climb the said number of stairs: 2
Number of stairs = 3
Number of ways to climb the said number of stairs: 3

Flowchart:

$JavaScript: Distinct ways to climb the staircase.$

Live Demo:

See the Pen javascript-math-exercise-104-1 by w3resource (@w3resource) on CodePen.

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