<html>
<body>
<script>
function bubbleSort(arr) {
var n = arr.length
var temp = 0
for (let i = 0; i <= n; i++) {
// (n-i-1) is to ignore the comparisons that is already done.
for (let j = 0; j <= n-i-1; j++) {
if (arr[j] > arr[j+1]) {
temp = arr[j]
arr[j] = arr[j+1]
arr[j+1] = temp
}
}
}
}
var arr = [7, 4, 8, 1, 6]
bubbleSort(arr)
for (let i = 0; i < arr.length; i++) {
document.write(arr[i], "</br>")
}
</script>
</body>
</html>
We are just concerned about the function bubbleSort(arr) method, where the sorting logic is defined.
We have the array
var arr = [7, 4, 8, 1, 6]
Which we have passed to the bubbleSort(..) method.
In the bubbleSort(..) method, we have taken the count of the elements of the array.
var n = arr.length
Now, let us corelate this code with the explanation of Bubble Sort.
Let us take the same diagram.
And take the chunk of code and explain it.
for (let i = 0; i <= n; i++) {
// (n-i-1) is to ignore the comparisons that is already done.
for (let j = 0; j <= n-i-1; j++) {
if (arr[j] > arr[j+1]) {
temp = arr[j]
arr[j] = arr[j+1]
arr[j+1] = temp
}
}
}So, the outer loop, i.e.
for (let i = 0; i <= n; i++)
Determines the Passes. If you see the above explanation you can find the first pass,
Then comes the the inner loop, i.e.
for (let j = 0; j <= n-i-1; j++)
Which determines the iterations.
Next, comes the comparison where we compare 1st and 2nd element. And if the 1st element is greater than 2nd element we swap it.
if(arr[j] > arr[j+1] ) {
temp = arr[j]
arr[j] = arr[j+1]
arr[j+1] = temp
}Where arr[j] refers to the first element i.e. 7 and arr[j+1] refers to the second element i.e. 4.
And continue in the same pattern.
If we consider the Bubble Sort Algorithm, there are two loops. Firstly, there is the for loop. And inside the for loop there is also a for loop.
The for loop executes n times(Assuming the array contains n elements).
Now, for each iteration of for loop, the nested for loop also executes approximately n times.
Which means for 1st iteration of for loop,
the nested for loop also runs n time.Similarly, for 2nd iteration of for loop,
inner for loop runs (n-1) times.Similarly, for nth iteration of for loop,
inner for loop runs 1 time.So, the running time is close to n*n or n^2.
So, in worst case the running time is O(n^2).