# Selection Sort in java with Algorithm, Example

## Selection Sort in java

In this tutorial, We will learn about another sorting technique where auxiliary space is minimized. As of now we have discussed about the following

Implementation of Bubble Sort
Implementation of Optimized Bubble Sort
Implementation of Insertion Sort
Several Java Example programs

In computer science, selection sort is a sorting algorithm, Selection sort works from left to right typically. It finds the smallest element index and its swap with the current indexed element.

It is specifically an in-place comparison sort. It has O(n2) time complexity and worst than Insertion sort and better than Bubble sort.

We will discuss sorting in ascending and descending order for the given input array.

## Selection Sort Simulation Example:

Selection sort animation. Red is current min. Yellow is sorted list. Blue is current item

## Algorithm:

```Outer Loop from index i 0 to length - 1
minValueIndex = i;
Inner loop from index j=i to length - 1
if (A[minValueIndex] < A[j])
minValueIndex = j;
swap (A[minValueIndex], A[i])
End Inner loop
End Outer loop
```

## Ascending Order Example Program:

```public class SelectionSort {
// Java - W3schools
public static void main(String[] args) {
int[] inputArray = { 5, 9, 3, 1, 7 };
int length = inputArray.length;
int minValueIndex;

System.out.print("Before sorting input array: ");
printInputArray(inputArray);
// Outer Loop
for (int i = 0; i < length; i++) {
minValueIndex = i;
// Inner Loop
for (int j = i; j < length; j++) {

if (inputArray[minValueIndex] > inputArray[j]) {
minValueIndex = j;
}
}

int temp = inputArray[minValueIndex];
inputArray[minValueIndex] = inputArray[i];
inputArray[i] = temp;
System.out.print("\nIterate " + i + " : ");
printInputArray(inputArray);
}
System.out.print("\nAfter sorting input array: ");
printInputArray(inputArray);
}

public static void printInputArray(int[] values) {
for (int value : values) {
System.out.print(value + " ");
}
}
}
```

## Output:

Before sorting input array: 5 9 3 1 7
Iterate 0 : 1 9 3 5 7
Iterate 1 : 1 3 9 5 7
Iterate 2 : 1 3 5 9 7
Iterate 3 : 1 3 5 7 9
Iterate 4 : 1 3 5 7 9
After sorting input array: 1 3 5 7 9

## Descending Order Example Program:

In the above program just change the hi-lighted  line in Yellow background with the following line.
```if (inputArray[minValueIndex] < inputArray[j]) {
```
Output:

Before sorting input array: 5 9 3 1 7
Iterate 0 : 9 5 3 1 7
Iterate 1 : 9 7 3 1 5
Iterate 2 : 9 7 5 1 3
Iterate 3 : 9 7 5 3 1
Iterate 4 : 9 7 5 3 1
After sorting input array: 9 7 5 3 1

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