20.12 LAB: Insertion sort   The program has four steps: Read the size of an integer array, followed by the elements of the array (no duplicates). Output the array. Perform an insertion sort on the array. Output the number of comparisons and swaps performed. main() performs steps 1 and 2. Implement step 3 based on the insertion sort algorithm in the book. Modify insertionSort() to: Count the number of comparisons performed. Count the number of swaps performed. Output the array during each iteration of the outside loop. Complete main() to perform step 4, according to the format shown in the example below. Hints: In order to count comparisons and swaps, modify the while loop in insertionSort(). Use static variables for comparisons and swaps. The program provides three helper methods: // Read and return an array of integers. // The first integer read is number of integers that follow. int[] readNums() // Print the numbers in the array, separated by spaces // (No space or newline before the first number or after the last.) void printNums(int[] nums) // Exchange nums[j] and nums[k]. void swap(int[] nums, int j, int k) Ex: When the input is: 6 3 2 1 5 9 8 the output is: 3 2 1 5 9 8 2 3 1 5 9 8 1 2 3 5 9 8 1 2 3 5 9 8 1 2 3 5 9 8 1 2 3 5 8 9 comparisons: 7 swaps: 4

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20.12 LAB: Insertion sort

 

The program has four steps:

  1. Read the size of an integer array, followed by the elements of the array (no duplicates).
  2. Output the array.
  3. Perform an insertion sort on the array.
  4. Output the number of comparisons and swaps performed.

main() performs steps 1 and 2.

Implement step 3 based on the insertion sort algorithm in the book. Modify insertionSort() to:

  • Count the number of comparisons performed.
  • Count the number of swaps performed.
  • Output the array during each iteration of the outside loop.

Complete main() to perform step 4, according to the format shown in the example below.

Hints: In order to count comparisons and swaps, modify the while loop in insertionSort(). Use static variables for comparisons and swaps.

The program provides three helper methods:

// Read and return an array of integers. // The first integer read is number of integers that follow. int[] readNums() // Print the numbers in the array, separated by spaces // (No space or newline before the first number or after the last.) void printNums(int[] nums) // Exchange nums[j] and nums[k]. void swap(int[] nums, int j, int k)

Ex: When the input is:

6 3 2 1 5 9 8

the output is:

3 2 1 5 9 8 2 3 1 5 9 8 1 2 3 5 9 8 1 2 3 5 9 8 1 2 3 5 9 8 1 2 3 5 8 9 comparisons: 7 swaps: 4
1 import java.util.Scanner;
3 public class LabProgram {
L23&SON
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// Read and return an array of integers.
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// The first integer read is number of integers that follow.
private static int[] readNums() {
Scanner scnr = new Scanner(System.in);
int size= scnr.nextInt();
int[] numbers = new int[size];
for (int i
}
numbers[i]
}
}
return numbers;
}
// Print the numbers in the array, separated by spaces
// (No space or newline before the first number or after the last.)
private static void printNums(int[] nums) {
for (int i
0; i<nums.length; ++i) {
System.out.print(nums[i]);
if (i < nums.length
1) {
System.out.print(" ");
}
=
// Exchange nums [j] and nums [k].
29 private static void swap(int[] nums, int j, int k) {
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int temp
nums [j]
nums [k]
System.out.println();
int i;
int j;
0; i < size; ++i) {
scnr.nextInt ();
=
for (i
=
LabProgram.java
=
= nums [j];
nums [k];
temp;
// Read array size
// Create array
// Read the numbers
// Sort numbers
/* TODO: Count comparisons and swaps. Output the array at the end of each iteration. */
public static void insertionSort(int[] numbers) {
1; i < numbers.length; ++i) {
Load default template...
j i;
// Insert numbers[i] into sorted part,
// stopping once numbers[i] is in correct position
while (j> 0 && numbers [j] < numbers [j - 1]) {
Transcribed Image Text:1 import java.util.Scanner; 3 public class LabProgram { L23&SON 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 8222 27 25 26 } 35 36 37 38 39 40 41 42 43 44 45 // Read and return an array of integers. 45 // The first integer read is number of integers that follow. private static int[] readNums() { Scanner scnr = new Scanner(System.in); int size= scnr.nextInt(); int[] numbers = new int[size]; for (int i } numbers[i] } } return numbers; } // Print the numbers in the array, separated by spaces // (No space or newline before the first number or after the last.) private static void printNums(int[] nums) { for (int i 0; i<nums.length; ++i) { System.out.print(nums[i]); if (i < nums.length 1) { System.out.print(" "); } = // Exchange nums [j] and nums [k]. 29 private static void swap(int[] nums, int j, int k) { 30 31 32 33 34 int temp nums [j] nums [k] System.out.println(); int i; int j; 0; i < size; ++i) { scnr.nextInt (); = for (i = LabProgram.java = = nums [j]; nums [k]; temp; // Read array size // Create array // Read the numbers // Sort numbers /* TODO: Count comparisons and swaps. Output the array at the end of each iteration. */ public static void insertionSort(int[] numbers) { 1; i < numbers.length; ++i) { Load default template... j i; // Insert numbers[i] into sorted part, // stopping once numbers[i] is in correct position while (j> 0 && numbers [j] < numbers [j - 1]) {
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}
for (i 1; i < numbers.length; ++i) {
j = i;
// Insert numbers[i] into sorted part,
// stopping once numbers[i] is in correct position
while (j> 0 && numbers [j] < numbers [j - 1]) {
// Swap numbers [j] and numbers [j - 1]
swap(numbers, j, j - 1);
--j;
}
public static void main(String[] args) {
// Step 1: Read numbers into an array
int[] numbers readNums();
=
// Step 2: Output the numbers array
printNums(numbers);
System.out.println();
// Step 3: Sort the numbers array
insertionSort(numbers);
System.out.println();
// step 4
/* TODO: Output the number of comparisons and swaps performed *,
}
Transcribed Image Text:≥ 1 2 3 44 45 40 41 42 43 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68} 69 } for (i 1; i < numbers.length; ++i) { j = i; // Insert numbers[i] into sorted part, // stopping once numbers[i] is in correct position while (j> 0 && numbers [j] < numbers [j - 1]) { // Swap numbers [j] and numbers [j - 1] swap(numbers, j, j - 1); --j; } public static void main(String[] args) { // Step 1: Read numbers into an array int[] numbers readNums(); = // Step 2: Output the numbers array printNums(numbers); System.out.println(); // Step 3: Sort the numbers array insertionSort(numbers); System.out.println(); // step 4 /* TODO: Output the number of comparisons and swaps performed *, }
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