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Add another method to find kth number (#5918)
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@ -1,5 +1,7 @@
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package com.thealgorithms.maths;
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package com.thealgorithms.maths;
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import java.util.Collections;
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import java.util.PriorityQueue;
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import java.util.Random;
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import java.util.Random;
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/**
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/**
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@ -62,4 +64,19 @@ public final class FindKthNumber {
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array[i] = array[j];
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array[i] = array[j];
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array[j] = temp;
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array[j] = temp;
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}
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}
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public static int findKthMaxUsingHeap(int[] array, int k) {
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if (k <= 0 || k > array.length) {
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throw new IllegalArgumentException("k must be between 1 and the size of the array");
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}
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PriorityQueue<Integer> maxHeap = new PriorityQueue<>(Collections.reverseOrder()); // using max-heap to store numbers.
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for (int num : array) {
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maxHeap.add(num);
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}
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while (k > 1) {
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maxHeap.poll(); // removing max number from heap
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k--;
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}
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return maxHeap.peek();
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}
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}
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}
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@ -14,21 +14,30 @@ public class FindKthNumberTest {
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assertEquals(3, FindKthNumber.findKthMax(array1, 3));
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assertEquals(3, FindKthNumber.findKthMax(array1, 3));
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assertEquals(4, FindKthNumber.findKthMax(array1, 2));
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assertEquals(4, FindKthNumber.findKthMax(array1, 2));
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assertEquals(5, FindKthNumber.findKthMax(array1, 1));
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assertEquals(5, FindKthNumber.findKthMax(array1, 1));
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assertEquals(3, FindKthNumber.findKthMaxUsingHeap(array1, 3));
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assertEquals(4, FindKthNumber.findKthMaxUsingHeap(array1, 2));
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assertEquals(5, FindKthNumber.findKthMaxUsingHeap(array1, 1));
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int[] array2 = {7, 5, 8, 2, 1, 6};
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int[] array2 = {7, 5, 8, 2, 1, 6};
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assertEquals(5, FindKthNumber.findKthMax(array2, 4));
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assertEquals(5, FindKthNumber.findKthMax(array2, 4));
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assertEquals(6, FindKthNumber.findKthMax(array2, 3));
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assertEquals(6, FindKthNumber.findKthMax(array2, 3));
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assertEquals(8, FindKthNumber.findKthMax(array2, 1));
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assertEquals(8, FindKthNumber.findKthMax(array2, 1));
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assertEquals(5, FindKthNumber.findKthMaxUsingHeap(array2, 4));
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assertEquals(6, FindKthNumber.findKthMaxUsingHeap(array2, 3));
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assertEquals(8, FindKthNumber.findKthMaxUsingHeap(array2, 1));
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}
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}
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@Test
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@Test
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public void testFindKthMaxEdgeCases() {
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public void testFindKthMaxEdgeCases() {
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int[] array1 = {1};
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int[] array1 = {1};
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assertEquals(1, FindKthNumber.findKthMax(array1, 1));
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assertEquals(1, FindKthNumber.findKthMax(array1, 1));
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assertEquals(1, FindKthNumber.findKthMaxUsingHeap(array1, 1));
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int[] array2 = {5, 3};
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int[] array2 = {5, 3};
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assertEquals(5, FindKthNumber.findKthMax(array2, 1));
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assertEquals(5, FindKthNumber.findKthMax(array2, 1));
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assertEquals(3, FindKthNumber.findKthMax(array2, 2));
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assertEquals(3, FindKthNumber.findKthMax(array2, 2));
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assertEquals(5, FindKthNumber.findKthMaxUsingHeap(array2, 1));
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assertEquals(3, FindKthNumber.findKthMaxUsingHeap(array2, 2));
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}
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}
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@Test
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@Test
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@ -36,6 +45,8 @@ public class FindKthNumberTest {
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int[] array = {1, 2, 3, 4, 5};
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int[] array = {1, 2, 3, 4, 5};
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assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMax(array, 0));
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assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMax(array, 0));
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assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMax(array, 6));
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assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMax(array, 6));
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assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMaxUsingHeap(array, 0));
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assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMaxUsingHeap(array, 6));
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}
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}
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@Test
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@Test
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@ -43,8 +54,10 @@ public class FindKthNumberTest {
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int[] array = generateArray(1000);
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int[] array = generateArray(1000);
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int k = new Random().nextInt(1, array.length);
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int k = new Random().nextInt(1, array.length);
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int result = FindKthNumber.findKthMax(array, k);
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int result = FindKthNumber.findKthMax(array, k);
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int maxK = FindKthNumber.findKthMaxUsingHeap(array, k);
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Arrays.sort(array);
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Arrays.sort(array);
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assertEquals(array[array.length - k], result);
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assertEquals(array[array.length - k], result);
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assertEquals(array[array.length - k], maxK);
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}
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}
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public static int[] generateArray(int capacity) {
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public static int[] generateArray(int capacity) {
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