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17 changes: 17 additions & 0 deletions src/main/java/com/thealgorithms/maths/FindKthNumber.java
Original file line number Diff line number Diff line change
@@ -1,5 +1,7 @@
package com.thealgorithms.maths;

import java.util.Collections;
import java.util.PriorityQueue;
import java.util.Random;

/**
Expand Down Expand Up @@ -62,4 +64,19 @@ private static void swap(int[] array, int i, int j) {
array[i] = array[j];
array[j] = temp;
}

public static int findKthMaxUsingHeap(int[] array, int k) {
if (k <= 0 || k > array.length) {
throw new IllegalArgumentException("k must be between 1 and the size of the array");
}
PriorityQueue<Integer> maxHeap = new PriorityQueue<>(Collections.reverseOrder()); // using max-heap to store numbers.
for (int num : array) {
maxHeap.add(num);
}
while (k > 1) {
maxHeap.poll(); // removing max number from heap
k--;
}
return maxHeap.peek();
}
}
13 changes: 13 additions & 0 deletions src/test/java/com/thealgorithms/maths/FindKthNumberTest.java
Original file line number Diff line number Diff line change
Expand Up @@ -14,37 +14,50 @@ public void testFindKthMaxTypicalCases() {
assertEquals(3, FindKthNumber.findKthMax(array1, 3));
assertEquals(4, FindKthNumber.findKthMax(array1, 2));
assertEquals(5, FindKthNumber.findKthMax(array1, 1));
assertEquals(3, FindKthNumber.findKthMaxUsingHeap(array1, 3));
assertEquals(4, FindKthNumber.findKthMaxUsingHeap(array1, 2));
assertEquals(5, FindKthNumber.findKthMaxUsingHeap(array1, 1));

int[] array2 = {7, 5, 8, 2, 1, 6};
assertEquals(5, FindKthNumber.findKthMax(array2, 4));
assertEquals(6, FindKthNumber.findKthMax(array2, 3));
assertEquals(8, FindKthNumber.findKthMax(array2, 1));
assertEquals(5, FindKthNumber.findKthMaxUsingHeap(array2, 4));
assertEquals(6, FindKthNumber.findKthMaxUsingHeap(array2, 3));
assertEquals(8, FindKthNumber.findKthMaxUsingHeap(array2, 1));
}

@Test
public void testFindKthMaxEdgeCases() {
int[] array1 = {1};
assertEquals(1, FindKthNumber.findKthMax(array1, 1));
assertEquals(1, FindKthNumber.findKthMaxUsingHeap(array1, 1));

int[] array2 = {5, 3};
assertEquals(5, FindKthNumber.findKthMax(array2, 1));
assertEquals(3, FindKthNumber.findKthMax(array2, 2));
assertEquals(5, FindKthNumber.findKthMaxUsingHeap(array2, 1));
assertEquals(3, FindKthNumber.findKthMaxUsingHeap(array2, 2));
}

@Test
public void testFindKthMaxInvalidK() {
int[] array = {1, 2, 3, 4, 5};
assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMax(array, 0));
assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMax(array, 6));
assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMaxUsingHeap(array, 0));
assertThrows(IllegalArgumentException.class, () -> FindKthNumber.findKthMaxUsingHeap(array, 6));
}

@Test
public void testFindKthMaxLargeArray() {
int[] array = generateArray(1000);
int k = new Random().nextInt(1, array.length);
int result = FindKthNumber.findKthMax(array, k);
int maxK = FindKthNumber.findKthMaxUsingHeap(array, k);
Arrays.sort(array);
assertEquals(array[array.length - k], result);
assertEquals(array[array.length - k], maxK);
}

public static int[] generateArray(int capacity) {
Expand Down