Enemy losses

Limits: 1 sec., 256 MiB

This statement was translated automatically from Ukrainian.

Every morning, every Ukrainian opens the General Staff report to see the losses suffered by the enemy over the past day. Zenyk does this as well, and in addition, he writes down the data on enemy losses in a notebook.

Zenyk recorded losses every day for \(n\) days, but suddenly noticed that he made a mistake and lost the data regarding enemy losses for one of the days. However, Zenyk knows the total number of losses \(y\), as well as the fact that the enemy lost a positive number of soldiers every day. Thus, he can restore the number of enemy losses on that day, provided that Zenyk did not make another mistake in his notes. Help Zenyk restore the number of enemy losses for the day for which data is missing. If Zenyk made an additional mistake in the notebook, print Another mistake!

Input

The first line contains two integers \(n\) and \(x\) — the number of days for which Zenyk recorded statistics, and the total enemy losses.

The next line contains \(n - 1\) numbers \(a_i\), separated by spaces — the data on daily enemy losses according to Zenyk’s notebook.

Output

Print a single number — the number of enemy losses on the day when Zenyk forgot to record the data.

If Zenyk made another mistake in his notebook and the data in the notebook is contradictory, then print Another mistake!.

Constraints

\(1 \le n \le 10^5\),

\(1 \le x \le 10^{9}\),

\(1 \le a_i \le 10^9\),

\(1 \le \sum_{i=1}^n a_i \le 10^9\).

Samples

Input (stdin) сopy	Output (stdout) сopy
1 146092572	146092572

Input (stdin) сopy	Output (stdout) сopy
3 47 4 7	36

Input (stdin) сopy	Output (stdout) сopy
2 7 47	Another mistake!

Notes

In the first test, the enemy lost all soldiers on the very first day, so Zenyk didn’t even have time to write anything in his notebook.

In the third test, according to the notebook, the enemy lost more soldiers in a single day than the total amount. From this, we can conclude that there is a mistake in the notebook.