**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:**

3 10

3 14

**Sample
Output:**

5

6

“I do believe that we are creating students with good results who are not creative.

Those who are creative are not always ranked first in our system.”

/* Rezaul Alam Chowdhury in
his farewell speech */