Description

Prof. Pang is selecting teams that advance to the world final contest. As the regionals are cancelled, he uses random shuffle to rank the teams. There are $n$ teams in total. His code is as follows:

uint64_t x;//uint64_t represents 64-bit unsigned integer
int n;
uint64_t rand() {//this is a xor-shift random generator
    x ^= x << 13;
    x ^= x >> 7;
    x ^= x << 17;
    return x;
}
int main() {
    cin >> n;
    cin >> x;
    for (int i = 1; i <= n; i++) {//random shuffle [1, 2,..., n]
        a[i] = i;
        swap(a[i], a[rand() % i + 1]);
    }
    for (int i = 1; i <= n; i++) {//print the result
        cout << a[i] << (i == n ? '\n' : ' ');
    }
}

He compiled and ran his code and then entered $n$ and some special nonnegative integer $x$. He printed the result on paper.

One day later, Prof. Pang forgot his choice for $x$. You are given the result of the code and the integer $n$. Please recover the number $x$ that Prof. Pang had entered.

Input Format

The first line contains a single integer $n$ ($50\le n\le 100000$) -- the number of teams.

The next line contains $n$ integers -- the result printed by Prof. Pang's code. It is guaranteed that the result is correct, i.e., there exists an integer $x$ ($0\le x\le 2^{64}-1$) that leads to the result.

Output Format

Output the integer $x$ ($0\le x\le 2^{64}-1$) Prof. Pang had entered. If there are multiple possible $x$'s, print any one.

50
36 22 24 21 27 50 28 14 25 34 18 43 47
13 30 7 10 48 20 16 29 9 8 15 3 31 12
38 19 49 37 1 46 32 4 44 11 35 6 33 26
5 45 17 39 40 2 23 42 41

16659580358178468547

Hint

Note that the second line of the sample input is wrapped to fit in the width of page.