https://github.com/ndsvw/median-maintenance

Median-Maintenance keeps track of the median of a growing list of numbers. O(log(n)) complexity for each of the n list elements => O(n*log(n))
https://github.com/ndsvw/median-maintenance

algorithm complexity logarithmic median

Last synced: 3 days ago
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Median-Maintenance keeps track of the median of a growing list of numbers. O(log(n)) complexity for each of the n list elements => O(n*log(n))

• Host: GitHub
• URL: https://github.com/ndsvw/median-maintenance
• Owner: ndsvw
• License: mit
• Created: 2019-10-25T18:10:31.000Z (about 5 years ago)
• Default Branch: master
• Last Pushed: 2022-02-11T07:11:42.000Z (almost 3 years ago)
• Last Synced: 2023-04-29T17:43:06.950Z (over 1 year ago)
• Topics: algorithm, complexity, logarithmic, median
• Language: Java
• Homepage:
• Size: 14.6 KB
• Stars: 0
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
## Median-Maintenance

Median-Maintenance keeps track of the median of a growing list of numbers.

### Complexity

* add(int x) => O(log(n)), n is the number of elements so far

* getMedian() => O(1)

* adding n elements to this data structure and return the median after each add-Operation: O(n*log(n))

### Examples

```java

MedianMaintenance mm = new MedianMaintenance(3);

mm.add(4);

mm.getMedian(); // returns 4

mm.add(10);

mm.getMedian(); // returns 4

mm.add(20);

mm.getMedian(); // returns 10

```

```java

MedianMaintenance mm = new MedianMaintenance(6);

mm.add(0);

mm.getMedian(); // returns 0

mm.add(1);

mm.getMedian(); // returns 0

mm.add(2);

mm.getMedian(); // returns 1

mm.add(3);

mm.getMedian(); // returns 1

mm.add(4);

mm.getMedian(); // returns 2

mm.add(5);

mm.getMedian(); // returns 2

```

```java

MedianMaintenance mm = new MedianMaintenance(6);

mm.addAndReturnMedian(4); // returns 4

mm.addAndReturnMedian(7); // returns 4

mm.addAndReturnMedian(1); // returns 4

mm.addAndReturnMedian(3); // returns 3

mm.addAndReturnMedian(10); // returns 4

mm.addAndReturnMedian(12); // returns 4

```

```java

MedianMaintenance mm = new MedianMaintenance();

mm.addAndReturnMedian(-1.1); // returns -1.1

mm.addAndReturnMedian(9.1); // returns -1.1

mm.addAndReturnMedian(-2.7); // returns -1.1

mm.addAndReturnMedian(-8.1); // returns -2.7

mm.addAndReturnMedian(-7); // returns -2.7

mm.addAndReturnMedian(6.6); // returns -2.7

mm.addAndReturnMedian(6.8); // returns -1.1

```