Algorithm: Find smallest subset containing K 0's

Posted by Vishal on Stack Overflow See other posts from Stack Overflow or by Vishal
Published on 2012-12-06T10:26:47Z Indexed on 2012/12/06 11:05 UTC
Read the original article Hit count: 139

Filed under:

arrays

|

algorithm

|

data-structures

I have array of 1's and 0's only. Now I want to find contiguous subset/subarray which contains at least K 0's.

Example Array is 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 and K(6) should be 0 0 1 0 1 1 0 0 0 or 0 0 0 0 1 0 1 1 0....

My Solution

     Array: 1 1 0 1 1 0 1 1 0  0  0  0  1  0  1  1  0  0  0   1  1  0  0
     Index: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19  20 21 22 23
     Sum:   1 2 2 3 4 4 5 6 6  6  6  6  7  7  8  9  9  9  9  10 11 11 11
Diff(I-S):  0 0 1 1 1 2 2 2 3  4  5  6  6  7  7  7  8  9 10  10 10 11 12

For K(6)

Start with 9-15 = Store difference in diff.

Next increase difference 8-15(Difference in index) 8-14(Compare Difference in index)

So on keep moving to find element with least elements...

I am looking for better algorithm for this solution.

© Stack Overflow or respective owner

Related posts about arrays

Arrays in php, Compare 2 arrays and keep duplicate values

as seen on Stack Overflow - Search for 'Stack Overflow'
The following is 2 different definitions of the problem: How can I process 2 arrays so that I can keep the data of duplicate array[key] values. I have arrays A and B. I want to create array C with the children that their id/key values exist in both A and B arrays. Thank you >>> More
commands&creating pointer [closed]

as seen on Stack Overflow - Search for 'Stack Overflow'
input 23 3 4 4 42 n 23 0 9 9 n n n 3 9 9 x //according to input,i should create int pointer arrays. pointer arrays // starting from 1 (that is initial arrays is arrays[1].when program sees n ,it // must be jumb to arrays 2 // the first int input 23 is num_arrays which used… >>> More
n & x commands&creating pointer&with using malloc [closed]

as seen on Stack Overflow - Search for 'Stack Overflow'
input 23 3 4 4 42 n 23 0 9 9 n n n 3 9 9 x //according to input,i should create int pointer arrays. pointer arrays // starting from 1 (that is initial arrays is arrays[1].when program sees n ,it // must be jumb to arrays 2 // the first int input 23 is num_arrays which… >>> More
reopen or read and say why not reopened [closed]

as seen on Stack Overflow - Search for 'Stack Overflow'
input 23 3 4 4 42 n 23 0 9 9 n n n 3 9 9 x //according to input,i should create int pointer arrays. pointer arrays // starting from 1 (that is initial arrays is arrays[1].when program sees n ,it // must be jumb to arrays 2 // the first int input 23 is num_arrays which used… >>> More
Fortran arrays and subroutines (sub arrays)

as seen on Stack Overflow - Search for 'Stack Overflow'
I'm going through a Fortran code, and one bit has me a little puzzled. There is a subroutine, say SUBROUTINE SSUB(X,...) REAL*8 X(0:N1,1:N2,0:N3-1),... ... RETURN END Which is called in another subroutine by: CALL SSUB(W(0,1,0,1),...) where W is a 'working array'. It appears that a specific… >>> More

Related posts about algorithm

Jpeg Algorithm vs BMP Algorithm?

as seen on Super User - Search for 'Super User'
I'm just wonder, what the differences are between creating a BMP file algorithm and JPG file algorithm ? If you know the others images' format algorithm, please post them. Thanks. >>> More
word disambiguation algorithm (Lesk algorithm)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hii.. Can anybody help me to find an algorithm in Java code to find synonyms of a search word based on the context and I want to implement the algorithm with WordNet database. For example, "I am running a Java program". From the context, I want to find the synonyms for the word "running", but the… >>> More
Search algorithm (with a sort algorithm already implemented)

as seen on Stack Overflow - Search for 'Stack Overflow'
Hello, Im doing a Java application and Im facing some doubts in which concerns performance. I have a PriorityQueue which guarantees me the element removed is the one with greater priority. That PriorityQueue has instances of class Event (which implements Comparable interface). Each Event is associated… >>> More
Is there any algorithm for finding LINES by PIXEL COLORS on picture?

as seen on Stack Overflow - Search for 'Stack Overflow'
So I have Image like this I want to get something like this (I hevent drawn all lines I want but I hope you can get my idea) I need algorithm for finding all straight lines on it by just reading colors of pixels. No hard math, no Haar, no Hough. Some algorithm which would be based on points… >>> More
collsion issues with quadtree [on hold]

as seen on Game Development - Search for 'Game Development'
So i implemented a Quad tree in Java for my 2D game and everything works fine except for when i run my collision detection algorithm, which checks if a object has hit another object and which side it hit.My problem is 80% of the time the collision algorithm works but sometimes the objects just go… >>> More