Problem:
Score : 200 points

Problem Statement

Takahashi's house has only one socket.

Takahashi wants to extend it with some number of power strips, each with A sockets, into B or more empty sockets.

One power strip with A sockets can extend one empty socket into A empty sockets.

Find the minimum number of power strips required.

Constraints

All values in input are integers.

2 \leq A \leq 20

1 \leq B \leq 20

Input

Input is given from Standard Input in the following format:

A B

Output

Print the minimum number of power strips required.

Sample Input 1

4 10

Sample Output 1

3

3 power strips, each with 4 sockets, extend the socket into 10 empty sockets.

Sample Input 2

8 9

Sample Output 2

2

2 power strips, each with 8 sockets, extend the socket into 15 empty sockets.

Sample Input 3

8 8

Sample Output 3

1

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

input1 = input()
x = []
y=[]
check=0

for i in input1:
    if i!=" " and check==0:
        x.append(i)
    elif i==" ":
        check=1
    elif i!=" " and check==1:
        check==1
        y.append(i)
xstring=''.join(x)
ystring=''.join(y)

xint=int(xstring)
yint=int(ystring)


cnt=0
while ((xint-1)*(cnt))+xint<yint:
    cnt=cnt+1
cnt=cnt+1
print(cnt)