All Downloads are FREE. Search and download functionalities are using the official Maven repository.

g0001_0100.s0042_trapping_rain_water.Solution Maven / Gradle / Ivy

There is a newer version: 1.38
Show newest version
package g0001_0100.s0042_trapping_rain_water;

// #Hard #Top_100_Liked_Questions #Top_Interview_Questions #Array #Dynamic_Programming #Two_Pointers
// #Stack #Monotonic_Stack #Dynamic_Programming_I_Day_9 #Udemy_Two_Pointers
// #Big_O_Time_O(n)_Space_O(1) #2023_08_11_Time_0_ms_(100.00%)_Space_44.3_MB_(62.40%)

/**
 * 42 - Trapping Rain Water\.
 *
 * Hard
 *
 * Given `n` non-negative integers representing an elevation map where the width of each bar is `1`, compute how much water it can trap after raining.
 *
 * **Example 1:**
 *
 * ![](https://assets.leetcode.com/uploads/2018/10/22/rainwatertrap.png)
 *
 * **Input:** height = [0,1,0,2,1,0,1,3,2,1,2,1]
 *
 * **Output:** 6
 *
 * **Explanation:** The above elevation map (black section) is represented by array [0,1,0,2,1,0,1,3,2,1,2,1]. In this case, 6 units of rain water (blue section) are being trapped. 
 *
 * **Example 2:**
 *
 * **Input:** height = [4,2,0,3,2,5]
 *
 * **Output:** 9 
 *
 * **Constraints:**
 *
 * *   `n == height.length`
 * *   1 <= n <= 2 * 104
 * *   0 <= height[i] <= 105
**/
public class Solution {
    public int trap(int[] height) {
        int l = 0;
        int r = height.length - 1;
        int res = 0;
        int lowerWall = 0;
        while (l < r) {
            int lVal = height[l];
            int rVal = height[r];
            // If left is smaller than right ptr, make the lower wall the bigger of lVal and its
            // current size
            if (lVal < rVal) {
                // If lVal has gone up, move the lowerWall upp
                lowerWall = Math.max(lVal, lowerWall);
                // Add the water level at current point
                // Calculate this by taking the current value and subtracting it from the lower wall
                // size
                // We know that this is the lower wall because we've already determined that lVal <
                // rVal
                res += lowerWall - lVal;
                // Move left ptr along
                l++;
            } else {
                // Do the same thing, except now we know that the lowerWall is the right side.
                lowerWall = Math.max(rVal, lowerWall);
                res += lowerWall - rVal;
                r--;
            }
        }
        return res;
    }
}




© 2015 - 2025 Weber Informatics LLC | Privacy Policy