Implement a solution to the Russian Doll Envelopes problem using an optimized dynamic programming and binary search approach.
Use the signature def maxEnvelopes(envelopes):. envelopes is a list of [width, height] pairs. Return the maximum number of envelopes that can be nested, where both width and height must strictly increase at every step. An envelope cannot be rotated.
Example: [[5, 4], [6, 4], [6, 7], [2, 3]] returns 3, using [2, 3], [5, 4], and [6, 7].
def maxEnvelopes(envelopes):