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let us see the problem first what it says so it says that given a positive integer n return the number of integers in the rates 0 to n whose binary representation do not contain consecutive ones okay so for example like if i have an integer n then i can have binary representation starting from 0 to 5 as 0 1 1 0 which is 2 3 4 and 5. now this there is only three which has two consecutive ones so we will give to return the value as one to three four and five as the total number the second example is one and if i have one then what representations we can have zero and then the other one can be one and then you will have two values which will have no consecutive one okay lets try to look over this problem a little bit more detail so we say that if you have only one bit then how many numbers you can make like you can make a zero or you can make a one the binary representation right so let me plug this in green and then if i have maybe two then what you can make either from this zero we can