Skip to main content

LeetCode Problem #11 Container With Most Water

LeetCode Problem #11 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.

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.


Problem Link

Solution Number One O(n^2) Brute Force :

  1. Try all valid combinations 
  2. outer loop start from i = 0 to length of array
  3. inner loop start from j = i+1 to length of array 
  4. compare current area with new area and choose max.
  5. return max area.

Solution Number Two O(n) :

Linear Solution greedy algorithm:

  1. calculating area it is rectangle 
    1. width = rightIndex - leftIndex
    2. height = min (height[rightIndex], height[leftIndex])
  2. select max area 
  3. update leftIndex and rightIndex 
    1. if height[rightIndex] > height[leftIndex] this means we should search for another left leftIndex++
    2. else we need to search for another right rightIndex-- 
  4. return max area 


Thank you,
AhmedG.
Labels:

Comments

Post a Comment

Popular posts from this blog

DevExpress C# Chart Tutorial

Hello , this blog post about Charting in DevExpress , I faced many problems I visited hundreds of pages to solve this problems , actually it was the first time I use DevExpress Charts, Work is not like school or university , in school if you don't know thing you can learn it any time you want , in work you have to do today task yesterday, I like to share my knowledge and skills with you , I hope this Post help you . // clear series on chart  chart.Series.Clear(); // clear Titles of chart chart.Titles.Clear(); // legend alignment  chart.Legend.AlignmentHorizontal = LegendAlignmentHorizontal.Center; chart.Legend.AlignmentVertical = LegendAlignmentVertical.Bottom; chart.Legend.Direction = LegendDirection.LeftToRight; // creating series // series view Type example Line DevExpress.XtraCharts.Series series = new DevExpress.XtraCharts.Series("series name ", ViewType.Line); // add title  DevExpress.XtraCharts.ChartTitle chtTitle = new DevExpress.XtraCharts.Cha
3 comments
Read more

Designing Entity Relationship Diagram (ERD)

Al Salmo Aliko . Hello, in this post I'll discuss with you how to design good Entity Relationship Diagram ERD . this article for: IT Students learning about database. you are having difficulties in creating ERD. you are developer that need help in database design.   let's ask ourselves Why good database design is good ? or why we need ERD?         when I started programming Eng / Eman Ahmed was my First teacher, she said you must write your code with pen, and now I told you good database design start with paper and pen or in technological terms start with ERD, ERD is the model which shows logical layout of your database. let's List some advantages of good database design : very low or no redundant data is stored.  supporting planed or unplanned queries. good design easy to maintain and modify. from first glance you can understand it. an ERD consist from Entities and relationships between them; there exist many notation in textbooks and all are right I
2 comments
Read more

LeetCode Problem #15. 3Sum

Problem statement  Given an array   nums   of   n   integers, are there elements   a ,   b ,   c   in   nums   such that   a   +   b   +   c   = 0? Find all unique triplets in the array which gives the sum of zero. Note: The solution set must not contain duplicate triplets. Example : Given array nums = [-1, 0, 1, 2, -1, -4], A solution set is: [ [-1, 0, 1], [-1, -1, 2] ] this problem is medium but I think it is much harder especially with the condition of non duplicate,  I'll write two solutions 
Post a Comment
Read more