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| 1 | +package algorithms.inverse_number; |
| 2 | + |
| 3 | +import java.util.Scanner; |
| 4 | + |
| 5 | +public class Main { |
| 6 | + private long inverseNumber; |
| 7 | + |
| 8 | + public Main() { |
| 9 | + inverseNumber = 0; |
| 10 | + } |
| 11 | + |
| 12 | + private void run() { |
| 13 | + Scanner scanner = new Scanner(System.in); |
| 14 | + int arraySize = scanner.nextInt(); |
| 15 | + int[] array = new int[arraySize]; |
| 16 | + for (int i = 0; i < arraySize; i++) { |
| 17 | + array[i] = scanner.nextInt(); |
| 18 | + } |
| 19 | + int[] sortedArray = mergeSort(array, 0, array.length); |
| 20 | + System.out.println(inverseNumber); |
| 21 | + } |
| 22 | + |
| 23 | + private int[] mergeSort(int[] array, int from, int to) { |
| 24 | + if (to - from == 1) { |
| 25 | + int[] oneElementArray = new int[1]; |
| 26 | + oneElementArray[0] = array[from]; |
| 27 | + return oneElementArray; |
| 28 | + } |
| 29 | + int midPoint = (from + to) / 2; |
| 30 | + return merge( |
| 31 | + mergeSort(array, from, midPoint), |
| 32 | + mergeSort(array, midPoint, to) |
| 33 | + ); |
| 34 | + } |
| 35 | + |
| 36 | + private int[] merge(int[] leftArray, int[] rightArray) { |
| 37 | + int leftIndex = 0, rightIndex = 0; |
| 38 | + int[] merged = new int[leftArray.length + rightArray.length]; |
| 39 | + for (int i = 0; i < leftArray.length + rightArray.length; i++) { |
| 40 | + if (leftIndex < leftArray.length && rightIndex < rightArray.length) { |
| 41 | + if (leftArray[leftIndex] > rightArray[rightIndex]) { |
| 42 | + merged[i] = rightArray[rightIndex++]; |
| 43 | + inverseNumber += leftArray.length - leftIndex; |
| 44 | + } |
| 45 | + else { |
| 46 | + merged[i] = leftArray[leftIndex++]; |
| 47 | + } |
| 48 | + } |
| 49 | + else { |
| 50 | + if (rightIndex < rightArray.length) { |
| 51 | + merged[i] = rightArray[rightIndex++]; |
| 52 | + } |
| 53 | + else { |
| 54 | + merged[i] = leftArray[leftIndex++]; |
| 55 | + } |
| 56 | + } |
| 57 | + } |
| 58 | + return merged; |
| 59 | + } |
| 60 | + |
| 61 | + public static void main(String[] args) { |
| 62 | + new Main().run(); |
| 63 | + } |
| 64 | +} |
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