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Copy pathmaximum_rectangularsum.cpp
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97 lines (80 loc) · 1.63 KB
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#include<iostream>
using namespace std;
void max_sum_subarray(int a[][3]);
int kadane(int *a,int *start,int *finish, int n);
int kadane(int *a,int *start,int *finish, int n)
{
int sum=0,maxsum=INT_MIN,i;
*finish=-1;
int lstart=0;
//scsnninhg from left to right and checking each combination
for(int i=0;i<n;i++)
{
sum+=a[i];
//if total sum is negative make it 0 and update lstart
if(sum<0)
{
sum=0;
lstart=i+1;
}
// if current sum is greater than maxsum then upodate
else if(sum>maxsum)
{
maxsum=sum;
*start=lstart;
*finish=i;
}
}
//if atleast 1 element is positive
if(*finish!=-1 ) return maxsum;
//if all emewents are negative then upodate and choose maximum single element
maxsum=a[0];
*start=*finish=0;
for(i=1;i<n;i++)
{
if(a[i]>maxsum)
{
maxsum=a[i];
*start=*finish=i;
}
}
return maxsum;
}
void max_sum_subarray(int a[][3])
{
int t[3];
int sum,maxsum,start,finish,fleft,fright,ftop,fbottom;
maxsum=INT_MIN;
for(int left=0;left<3;left++)
{
for(int i=0;i<3;i++)
t[i]=0;
for(int right= left; right<3;right++)
{
for(int i=0;i<3;i++)
t[i]+=a[i][right];
sum=kadane(t,&start,&finish,3);
if(sum>maxsum)
{
maxsum=sum;
fleft=left;
fright=right;
ftop=start;;
fbottom=finish;
}
}
}
for(int i=ftop;i<fbottom;i++)
{
for(int j=fleft;j<fright;j++)
{
cout<<a[i][j];
}
}
}
int main()
{
int a[3][3]={{1,2,3},{4,6,-8},{9,0,-5}};
max_sum_subarray(a);
return 0;
}