Problem 1083 --So Easy!

1083: So Easy!

Time Limit: 1 Sec  Memory Limit: 32 MB
Submit: 11  Solved: 2
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Description

  A sequence Sn is defined as:

Where a, b, n, m are positive integers.┌x┐is the ceil of x. For example, ┌3.14┐=4. You are to calculate Sn.
  You, a top coder, say: So easy!

Input

  There are several test cases, each test case in one line contains four positive integers: a, b, n, m. Where 0< a, m < 215, (a-1)2< b < a2, 0 < b, n < 231.The input will finish with the end of file.

Output

  For each the case, output an integer Sn.

Sample Input

2 3 1 2013
2 3 2 2013
2 2 1 2013

Sample Output

4
14
4

HINT

Source

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