Minimum of 3

PROBLEM :

Given an array consisting of N numbers your task is to find the minimum sum of the array such that out of 3 consecutive  elments you need to add atleast one.

Input:
First line consists of T Test cases. Each test case contains 2 lines . The first line consists of a number N specifying the number of elements in an array and the next line contains N elements.

Output:
Output in a single line minimum sum that can be obtained.

Constraints:
1<=T<=100
1<=N<=43

Example:
Input:
2
6
1 2 3 6 7 1
12
1 2 3 6 7 1 8 6 2 7 7 1
Output:
4
7

Explanation:
For First Test case moving from left to right 3+1
For second Test case moving from left to right 3+1+2+1. When 3 is added next 3 consecutive elements be 6 7 and 1 and so on.

--------------------------------------------------------------------------------
SIMPLE c++ IMPLEMENTATION :
--------------------------------------------------------------------------------

#include<iostream>
using namespace std;
#include<limits.h>

int Minimum_of_three(int [],int ) ;
int minof(int ,int ,int ) ;

int main()
 {
int t,no,arr[50],i ;
cin>>t ;
while(t--)
{
   cin>>no ;
   for(i=0;i<no;i++)
       cin>>arr[i] ;
     
   no=Minimum_of_three(arr,no) ;
   cout<<no<<endl ;
}
return 0;
}

int Minimum_of_three(int arr[],int no)
{
    int temp[no] ;
    int i,min ;
   
    temp[0]=arr[0] ;
    temp[1]=arr[1] ;
    temp[2]=arr[2] ;
   
    for(i=3;i<no;i++)
        temp[i]=arr[i]+minof(temp[i-1],temp[i-2],temp[i-3]) ;
   
    min=minof(temp[no-1],temp[no-2],temp[no-3]) ;
   
    return min ;
}

int minof(int a,int b,int c)
{
    int temp ;
    temp=a<b?a:b ;
    return temp<c?temp:c ;
}

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