blueWind123731 / algorithm_learning

算法与数据结构
0 stars 0 forks source link

11. Container With Most Water #1

Open blueWind123731 opened 4 years ago

blueWind123731 commented 4 years ago

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.

Example 1:

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.

Example 2:

Input: height = [1,1] Output: 1

Example 3:

Input: height = [4,3,2,1,4] Output: 16

Example 4:

Input: height = [1,2,1] Output: 2

blueWind123731 commented 4 years ago

时间复杂度:O(n) 空间复杂度:O(1)

var maxArea = function(height) {
    const arr = []
    for(let i=0,j=height.length-1;i<j;){
        if(height[i]<=height[j]){
            i++
        }else if(height[i]>height[j]){
            j--
        }
        arr.push(Math.min(height[i],height[j])*Math.abs(i-j))
    }
    return Math.max(...arr)
};