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| 1 | +package com.thealgorithms.searches; |
| 2 | + |
| 3 | +/** |
| 4 | + * Trapping Rainwater Problem |
| 5 | + * Given an array of non-negative integers representing the height of bars, |
| 6 | + * compute how much water it can trap after raining. |
| 7 | + * |
| 8 | + * Example: |
| 9 | + * Input: [4,2,0,3,2,5] |
| 10 | + * Output: 9 |
| 11 | + * |
| 12 | + * Time Complexity: O(n) |
| 13 | + * Space Complexity: O(1) |
| 14 | + */ |
| 15 | +public class TrappingRainwater { |
| 16 | + |
| 17 | + /** |
| 18 | + * Calculates the total trapped rainwater. |
| 19 | + * |
| 20 | + * @param height an array representing elevation map |
| 21 | + * @return total units of water trapped |
| 22 | + */ |
| 23 | + public static int trap(int[] height) { |
| 24 | + if (height == null || height.length == 0) { |
| 25 | + return 0; |
| 26 | + } |
| 27 | + |
| 28 | + int left = 0, right = height.length - 1; |
| 29 | + int leftMax = 0, rightMax = 0; |
| 30 | + int trappedWater = 0; |
| 31 | + |
| 32 | + while (left < right) { |
| 33 | + if (height[left] < height[right]) { |
| 34 | + if (height[left] >= leftMax) { |
| 35 | + leftMax = height[left]; |
| 36 | + } else { |
| 37 | + trappedWater += leftMax - height[left]; |
| 38 | + } |
| 39 | + left++; |
| 40 | + } else { |
| 41 | + if (height[right] >= rightMax) { |
| 42 | + rightMax = height[right]; |
| 43 | + } else { |
| 44 | + trappedWater += rightMax - height[right]; |
| 45 | + } |
| 46 | + right--; |
| 47 | + } |
| 48 | + } |
| 49 | + |
| 50 | + return trappedWater; |
| 51 | + } |
| 52 | + |
| 53 | + // Example test |
| 54 | + public static void main(String[] args) { |
| 55 | + int[] height = {4, 2, 0, 3, 2, 5}; |
| 56 | + System.out.println("Total trapped water: " + trap(height)); // Output: 9 |
| 57 | + } |
| 58 | +} |
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