TheAlgorithms · DenizAltunkapan · Jul 11, 2025 · Jul 8, 2025 · Jul 8, 2025 · Jul 8, 2025
@@ -3,36 +3,50 @@
 import java.util.Stack;
 
 /**
+ * Utility class to calculate the largest rectangle area in a histogram.
+ * Each bar's width is assumed to be 1 unit.
  *
- * @author mohd rameez github.com/rameez471
+ * <p>This implementation uses a monotonic stack to efficiently calculate
+ * the area of the largest rectangle that can be formed from the histogram bars.</p>
+ *
+ * <p>Example usage:
+ * <pre>{@code
+ *     int[] heights = {2, 1, 5, 6, 2, 3};
+ *     String area = LargestRectangle.largestRectangleHistogram(heights);
+ *     // area is "10"
+ * }</pre>
  */
-
 public final class LargestRectangle {
+
     private LargestRectangle() {
     }
 
+    /**
+     * Calculates the largest rectangle area in the given histogram.
+     *
+     * @param heights an array of non-negative integers representing bar heights
+     * @return the largest rectangle area as a {@link String}
+     */
     public static String largestRectangleHistogram(int[] heights) {
-        int n = heights.length;
         int maxArea = 0;
-        Stack<int[]> st = new Stack<>();
-        for (int i = 0; i < n; i++) {
+        Stack<int[]> stack = new Stack<>();
+
+        for (int i = 0; i < heights.length; i++) {
             int start = i;
-            while (!st.isEmpty() && st.peek()[1] > heights[i]) {
-                int[] tmp = st.pop();
-                maxArea = Math.max(maxArea, tmp[1] * (i - tmp[0]));
-                start = tmp[0];
+            while (!stack.isEmpty() && stack.peek()[1] > heights[i]) {
+                int[] popped = stack.pop();
+                maxArea = Math.max(maxArea, popped[1] * (i - popped[0]));
+                start = popped[0];
             }
-            st.push(new int[] {start, heights[i]});
+            stack.push(new int[] {start, heights[i]});
         }
-        while (!st.isEmpty()) {
-            int[] tmp = st.pop();
-            maxArea = Math.max(maxArea, tmp[1] * (n - tmp[0]));
+
+        int totalLength = heights.length;
+        while (!stack.isEmpty()) {
+            int[] remaining = stack.pop();
+            maxArea = Math.max(maxArea, remaining[1] * (totalLength - remaining[0]));
         }
-        return Integer.toString(maxArea);
-    }
 
-    public static void main(String[] args) {
-        assert largestRectangleHistogram(new int[] {2, 1, 5, 6, 2, 3}).equals("10");
-        assert largestRectangleHistogram(new int[] {2, 4}).equals("4");
+        return Integer.toString(maxArea);
     }
 }
@@ -2,76 +2,27 @@
 
 import static org.junit.jupiter.api.Assertions.assertEquals;
 
-import org.junit.jupiter.api.Test;
+import java.util.stream.Stream;
+import org.junit.jupiter.params.ParameterizedTest;
+import org.junit.jupiter.params.provider.Arguments;
+import org.junit.jupiter.params.provider.MethodSource;
 
 public class LargestRectangleTest {
 
-    @Test
-    void testLargestRectangleHistogramWithTypicalCases() {
-        // Typical case with mixed heights
-        int[] heights = {2, 1, 5, 6, 2, 3};
-        String expected = "10";
-        String result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
-
-        // Another typical case with increasing heights
-        heights = new int[] {2, 4};
-        expected = "4";
-        result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
-
-        // Case with multiple bars of the same height
-        heights = new int[] {4, 4, 4, 4};
-        expected = "16";
-        result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
+    @ParameterizedTest(name = "Histogram: {0} → Expected area: {1}")
+    @MethodSource("histogramProvider")
+    void testLargestRectangleHistogram(int[] heights, String expected) {
+        assertEquals(expected, LargestRectangle.largestRectangleHistogram(heights));
     }
 
-    @Test
-    void testLargestRectangleHistogramWithEdgeCases() {
-        // Edge case with an empty array
-        int[] heights = {};
-        String expected = "0";
-        String result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
-
-        // Edge case with a single bar
-        heights = new int[] {5};
-        expected = "5";
-        result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
-
-        // Edge case with all bars of height 0
-        heights = new int[] {0, 0, 0};
-        expected = "0";
-        result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
+    static Stream<Arguments> histogramProvider() {
+        return Stream.of(Arguments.of(new int[] {2, 1, 5, 6, 2, 3}, "10"), Arguments.of(new int[] {2, 4}, "4"), Arguments.of(new int[] {4, 4, 4, 4}, "16"), Arguments.of(new int[] {}, "0"), Arguments.of(new int[] {5}, "5"), Arguments.of(new int[] {0, 0, 0}, "0"),
+            Arguments.of(new int[] {6, 2, 5, 4, 5, 1, 6}, "12"), Arguments.of(new int[] {2, 1, 5, 6, 2, 3, 1}, "10"), Arguments.of(createLargeArray(10000, 1), "10000"));
     }
 
-    @Test
-    void testLargestRectangleHistogramWithLargeInput() {
-        // Large input case
-        int[] heights = new int[10000];
-        for (int i = 0; i < heights.length; i++) {
-            heights[i] = 1;
-        }
-        String expected = "10000";
-        String result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
-    }
-
-    @Test
-    void testLargestRectangleHistogramWithComplexCases() {
-        // Complex case with a mix of heights
-        int[] heights = {6, 2, 5, 4, 5, 1, 6};
-        String expected = "12";
-        String result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
-
-        // Case with a peak in the middle
-        heights = new int[] {2, 1, 5, 6, 2, 3, 1};
-        expected = "10";
-        result = LargestRectangle.largestRectangleHistogram(heights);
-        assertEquals(expected, result);
+    private static int[] createLargeArray(int size, int value) {
+        int[] arr = new int[size];
+        java.util.Arrays.fill(arr, value);
+        return arr;
     }
 }