Create Container with most water.java

Leetcode/Java/Container with most water.java

@@ -0,0 +1,45 @@
+/*Given n non-negative integers a1, a2, ..., an , where each represents a point at coordinate (i, ai). n vertical lines are drawn such that the two endpoints 
+of the line i is at (i, ai) and (i, 0). Find two lines, which, together with the x-axis forms a container, 
+such that the container contains the most water.
+
+Notice that you may not slant the container.
+
+
+Example:
+
+Input: height = [1,8,6,2,5,4,8,3,7]
+Output: 49
+Explanation: The above vertical lines are represented by array [1,8,6,2,5,4,8,3,7]. In this case, the max area of water (blue section) the container can contain is 49.
+
+*/
+
+// Solution:
+
+/*
+    Our main idea revolves around the following points:
+
+    1. The widest container (using first and last line) is a good candidate, because of its width. Its water level is the height of the smaller one of first and last line.
+    2. All other containers are less wide and thus would need a higher water level in order to hold more water.
+    3. The smaller one of first and last line doesn't support a higher water level and can thus be safely removed from further consideration.
+*/
+
+class Solution {
+    public int maxArea(int[] height) {
+        //setting low, high and maximum.
+        int lo = 0;
+        int hi = height.length - 1;
+        int max = 0;
+
+         while(lo <= hi){
+             /* here, the maximum water stored between two towers of different heights, will be the difference between them multiplied by the minimum height of the two towers
+             given. */
+             max = Math.max(max, ((hi - lo) * Math.min(height[lo], height[hi])));
+             if(height[lo] < height[hi]){
+                 lo++;
+             }else{
+                 hi--;
+             }
+         }
+        return max;
+    }
+}