ROSECODE 514
Proportion of pandigital numbers
A pandigital number in base 10 is an integer that contains each of the digits from 0 to 9 (leading zero is not considered). Clearly there cannot be any pandigital numbers below 1023456789. In other words, 1023456789 is the smallest pandigital number. Pandigital numbers become more and more common as number gets bigger. In fact, the least number for which the proportion of pandigital numbers first reaches 1% is 1982653472320.
Given two positive integers , and , Let be the least number for which the proportion of pandigital numbers is at least . For instance, , .
Find . Since the answer can be very large, give your answer modulo 1000000033.
Thanks to C_K_Yang for the idea.
Given two positive integers
Find
Thanks to C_K_Yang for the idea.