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2024/04/06

Javascript Algorithm:Insertion Sort(FreeCodeCamp)

Implement Insertion Sort:

The next sorting method we'll look at is insertion sort. This method works by
building up a sorted array at the beginning of the list. It begins the sorted
array with the first element. Then it inspects the next element and swaps it
backwards into the sorted array until it is in sorted position. It continues
iterating through the list and swapping new items backwards into the sorted
portion until it reaches the end. This algorithm has quadratic time complexity
in the average and worst cases.

Instructions:
Write a function insertionSort which takes an array of integers as input and
returns an array of these integers in sorted order from least to greatest.

Test Cases:
1) insertionSort should be a function.
2) insertionSort should return a sorted array (least to greatest).
3) insertionSort([1,4,2,8,345,123,43,32,5643,63,123,43,2,55,1,234,92])
should return an array that is unchanged except for order.
4) insertionSort([5, 4, 33, 2, 8]) should return [2, 4, 5, 8, 33].
5) insertionSort should not use the built-in .sort() method.

Solution:
function insertionSort(array) {
let newArray = [];
newArray.push(array[0]);

for (let i = newArray.length; i < array.length; i++) {
newArray.push(array[i]);

let k = newArray.length - 1; //index of newly inserted element
let j = k - 1;

while (j >= 0) {
if (newArray[k] < newArray[j]) {
[newArray[k], newArray[j]] = [newArray[j], newArray[k]];
k = j;
j = k - 1;
} else {
j = j - 1;
}
}
}

return newArray;
}

let result = insertionSort([1,4,2,8,345,123,43,32,5643,63,123,43,2,55,1,234,
92]);
console.log(result);

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