Welcome to ZOJ
Information
Select Problem
Runs
Ranklist
ZOJ Problem Set - 3385
Hanami Party

Time Limit: 2 Seconds      Memory Limit: 65536 KB

Saigyouji Yuyuko and Konpaku Youmu are going to hold a hanami party (a Japanese traditional custom of enjoying the beauty of cherry blossoms). They decide to invite all their friends to come to the yard enjoying the feast under the flowering trees, and sometimes the party will go on until late at night.

th4770.jpg

To prepare for the grand party, Youmu need to make as much food as possible. But soon she noticed that the "hungry ghost" Yuyuko will eat some food she made every day. If there is no enough food, the hungry Yuyuko will become angry.

They have N days to prepare for the party. On the first day of their preparation, Youmu has an initial cooking level L, which means she can make L units of food in one day. Everyday, Youmu can choose to do only one of the actions below:

  • Improve her cooking level L by 1.
  • Make L units of food during that day.

Anyway, Youmu don't want to enrage Yuyuko, so she turned to you for help. You should maximize the amount of food Youmu can present on the party, without making Yuyuko angry.

Input

There are multiple test cases (no more than 20).

The first line contains two integers N and L (1 <= N <= 100000, 0 <= L <= 10^9). The second line contains N integers ai (0 <= ai <= 10^9), which means on the ith day of their preparation, Yuyuko will eat ai units of food that Youmu made.

Output

If Yuyuko won't get angry during the preparation, output the maximal amount of food Youmu can present on the party. Otherwise, output a line of "Myon".

Sample Input

5 2
1 1 1 4 2

Sample Output

2

References

上海アリス幻樂団

acm_x_touhou


Author: JIANG, Kai
Source: ACM × Touhou
Contest: ZOJ Monthly, August 2010
Submit    Status