Morris' Blog 我在摸索我存在的意義、生命的意義、內涵及價值。 沒有真正神手般的厲害，套用模式是大部分的情況。 沒那麼厲害的我存在的意義為何，襯托出神的存在？ 有時候不能怪別人不給我機會，我已經開始省思， 為什麼我沒有給別人機會的原因，而是全要靠別人。 有時候我認為我與眾不同，那是因為我做不到很多人能辦到的事情。 我聽不到、玩不起來、說得不夠明瞭、理解得不夠多， 我缺少的語文能力，就是一切一切無能的判定。 為此，我不曉得能做些對別人有幫助的事情。 我知道我自己是個不服輸的性格，但現在我不得不認輸。 我沒有能力，因此我必須認輸。 我到底來這世界作什麼？處處充滿不確定性， 而我總是無法出類拔萃，想當個一般人似乎也回不了頭了。 越強大的挑戰需要越強力的支持，而我的支持是什麼？ 最近嘗試與人談話，但都是失敗的結局，沒人能接受， 不需要言語，不需要溝通，一切所想都表達不出來。

49愛的鼓勵 6訂閱站台

Problem C

The Hotel with Infinite Rooms

Input: standard input

Output: standard output

Time Limit: 2 seconds

The city of HaluaRuti has a strange hotel with infinite rooms. The groups that come to this hotel follow the following rules:

a)      At the same time only members of one group can rent the hotel.

b)      Each group comes in the morning of the check-in day and leaves the hotel in the evening of the check-out day.

c)      Another group comes in the very next morning after the previous group has left the hotel.

d)      A very important property of the incoming group is that it has one more member than its previous group unless it is the starting group. You will be given the no of members of the starting group.

e)      A group with n members stays for n days in the hotel. For example, if a group of four members comes on 1^st August in the morning, it will leave the hotel on 4^th August in the evening and the next group of five members will come on 5^th August in the morning and stay for five days and so on.

Given the initial group size you will have to find the group size staying in the hotel on a specified day.

Input

The input contains round numbers S(1<=S<=10000) and D(1<=D<10^15) in every line. S denotes the initial size of the group and D denotes that you will have to find the group size staying in the hotel on D th day (starting from 1). All the input and output integers will be less than 10^15. A group size S means that on the first day a group of S members come to the hotel and stays for S days then comes a group of S+1 members according to the previously described rules and so on.

Output

 For each line of input, print on a single line the size of the group staying in the hotel on the D th day.

Sample Input:

Sample Output: