Ikshu's love for binary numbers
Practice
4.8 (5 votes)
Algorithms
Approved
Dynamic programming
Math
Medium
Open
Problem
59% Success 1544 Attempts 30 Points 2s Time Limit 256MB Memory 1024 KB Max Code
Ikshu's love for binary numbers
Ikshu recently learnt to generate random numbers. He is generating stream binary numbers. Uptil now he has generated N bits of the binary number. Now, he wants to know if there is a streak of contiguous 1's of length K.
Help him to find the probability of existence of such a streak in his binary number.
Assume that probability of generating a one and zero is equal i.e 0.5.
Input:
First and only line of input contains two space separated integers N and K as described above.
Output:
output contains one line containing probablity. output should be in n/m form where it is n/m is in its lowest fraction.
Constraints:
1<=N<=60
1<=K<=N
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