People in the Tomskaya region like magic formulas very much. You can see some of them below.

Imagine you are given a sequence of positive integer numbers *p*<sub class="lower-index">1</sub>, *p*<sub class="lower-index">2</sub>, ..., *p*<sub class="lower-index">*n*</sub>. Lets write down some magic formulas:

Here, "mod" means the operation of taking the residue after dividing.

The expression <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b364f2e04c665b78b924ec10666327a4ef4635bc.png" style="max-width: 100.0%;max-height: 100.0%;"/> means applying the bitwise *xor* (excluding "OR") operation to integers *x* and *y*. The given operation exists in all modern programming languages. For example, in languages C++ and Java it is represented by "^", in Pascal — by "xor".

People in the Tomskaya region like magic formulas very much, but they don't like to calculate them! Therefore you are given the sequence *p*, calculate the value of *Q*.
The first line of the input contains the only integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">6</sup>). The next line contains *n* integers: *p*<sub class="lower-index">1</sub>, *p*<sub class="lower-index">2</sub>, ..., *p*<sub class="lower-index">*n*</sub> (0 ≤ *p*<sub class="lower-index">*i*</sub> ≤ 2·10<sup class="upper-index">9</sup>).
#include<iostream>
using namespace std;
int main()
{
    int n;
    cin>>n;
    int arr[n];
    for(int i=0; i<n; i++)
    {
        cin>>arr[i];
    }
    int magic[n];
    for(int i=0; i<n; i++)
    {
        int q=arr[i]^0;
        int x=1;
        while(x<=n)
        {
            q=q^((i+1)%x);
            x+=1;
        }
        magic[i]=q;
    }
    int res=0;
    for(int i=0; i<n; i++)
    {   
        res=res^magic[i];
    }
    cout<<res<<endl;
    return 0;
}