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57 changes: 57 additions & 0 deletions maximum_circular_sum.txt
Original file line number Diff line number Diff line change
@@ -0,0 +1,57 @@
/* MY COMPETITIVE CODING TEMPLATE */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);
#define pb push_back
#define pp pair<ll,ll>
#define all(v) (v).begin(),(v).end()
#define sz(v) (ll)(v).size()
#define F first
#define S second
#define lc "\n"
ll MAX=1e18 , MIN=-1e18 , MOD=1000000007;
void YJ()
{
#ifndef ONLINE_JUDGE
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
#endif
}

/* CODE STARTS HERE */

/* KADANE'S ALGORITHM */
int kadane(int arr[],int n)
{
int max_so_far=0,sum=0;
for(int i=0;i<n;i++)
{
sum+=arr[i];
if(sum<0) sum=0;
if(max_so_far<sum) max_so_far=sum;
}
return max_so_far;
}

int maxCircularSum(int arr[],int n)
{
int max_sum=kadane(arr,n);
int s=0,i;
for(i=0;i<n;i++)
{
s+=arr[i];
arr[i]=-arr[i];
}
s=s+kadane(arr,n);
return max(s,max_sum);
}

int main()
{
YJ(); fastio
int n,i; cin>>n; int arr[n];
for(i=0;i<n;i++) cin>>arr[i];
cout<<"Maximum circular sum is "<<maxCircularSum(arr,n)<<lc;
return 0;
}