container with most water


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 line i is at (i, ai) and (i, 0). Find two lines, which together with x-axis forms a container, such that the container contains the most water.

Note: You may not slant the container and n is at least 2.


Solution

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public class {
public int maxArea(int[] height) {
int left = 0, right = height.length-1;
int max = 0;
while(left < right) {
max = Math.max(max,Math.min(height[left],height[right])*(right-left));
if(height[left] < height[right]) {
left++;
} else {
right--;
}
}
return max;
}
}