Padovan Sequence

PROBLEM :
A Padovan Sequence is a sequence which is represented by the following recurrence
P(n) = P(n-2) + P(n-3)
P(0) = P(1) = P(2) = 1
Now given a number N your task is to find the Nth no in this sequence.

Note: Since the output could be very long take mod 1000000007

Input:
The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each line contains an integer N.

Output:
For each test case in a new line print the nth no of the Padovan sequence.

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

Example:
Input:
2
12
4

Output:
21
2

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

#include<iostream>
using namespace std;
long long Padovan_Sequence(int ) ;
int main()
 {
int t,no ;
cin>>t ;
while(t--)
{
   cin>>no ;
   cout<<Padovan_Sequence(no)<<endl ;
}
return 0;
}

long long Padovan_Sequence(int no)
{
    int arr[no+1] ;
    int i ;
   
    if(no>=0&&no<=2)
        return 1 ;
       
    arr[0]=1,arr[1]=1,arr[2]=1 ;
   
    for(i=3;i<=no;i++)
        arr[i]=(arr[i-2]+arr[i-3])%1000000007 ;
       
    return arr[no] ;
}

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