Suppose you have a sequence of 36 integers consisting only of 1's and 0's (e.g., 010101..., 10000100...). Can you construct a sequence where every subsequence of length 5 is unique? Assume the sequence starts with 00000. How would you construct such a sequence? For example, if you start with 00000100001..., it is not valid because it contains two identical subsequences (00001, 00001) of length 5.