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refactor: clean up LargestRectangle and convert tests to parameterized format (#6356)
* refactor: clean up LargestRectangle and convert tests to parameterized format * refactor: fix clang formatting issue * refactor: fix clang formatting issue for test data --------- Co-authored-by: Deniz Altunkapan <93663085+DenizAltunkapan@users.noreply.github.com>
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@@ -3,36 +3,50 @@ package com.thealgorithms.stacks;
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import java.util.Stack;
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/**
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* Utility class to calculate the largest rectangle area in a histogram.
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* Each bar's width is assumed to be 1 unit.
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*
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* @author mohd rameez github.com/rameez471
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* <p>This implementation uses a monotonic stack to efficiently calculate
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* the area of the largest rectangle that can be formed from the histogram bars.</p>
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*
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* <p>Example usage:
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* <pre>{@code
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* int[] heights = {2, 1, 5, 6, 2, 3};
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* String area = LargestRectangle.largestRectangleHistogram(heights);
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* // area is "10"
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* }</pre>
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*/
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public final class LargestRectangle {
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private LargestRectangle() {
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}
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/**
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* Calculates the largest rectangle area in the given histogram.
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*
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* @param heights an array of non-negative integers representing bar heights
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* @return the largest rectangle area as a {@link String}
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*/
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public static String largestRectangleHistogram(int[] heights) {
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int n = heights.length;
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int maxArea = 0;
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Stack<int[]> st = new Stack<>();
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for (int i = 0; i < n; i++) {
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Stack<int[]> stack = new Stack<>();
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for (int i = 0; i < heights.length; i++) {
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int start = i;
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while (!st.isEmpty() && st.peek()[1] > heights[i]) {
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int[] tmp = st.pop();
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maxArea = Math.max(maxArea, tmp[1] * (i - tmp[0]));
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start = tmp[0];
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while (!stack.isEmpty() && stack.peek()[1] > heights[i]) {
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int[] popped = stack.pop();
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maxArea = Math.max(maxArea, popped[1] * (i - popped[0]));
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start = popped[0];
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}
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st.push(new int[] {start, heights[i]});
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stack.push(new int[] {start, heights[i]});
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}
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while (!st.isEmpty()) {
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int[] tmp = st.pop();
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maxArea = Math.max(maxArea, tmp[1] * (n - tmp[0]));
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int totalLength = heights.length;
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while (!stack.isEmpty()) {
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int[] remaining = stack.pop();
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maxArea = Math.max(maxArea, remaining[1] * (totalLength - remaining[0]));
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}
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return Integer.toString(maxArea);
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}
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public static void main(String[] args) {
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assert largestRectangleHistogram(new int[] {2, 1, 5, 6, 2, 3}).equals("10");
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assert largestRectangleHistogram(new int[] {2, 4}).equals("4");
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}
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}
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