A palindrome is any number that reads the same forwards as backwards. Let \(P(N)\) denote the number of \(N\)-digit palindromes that are perfect squares.
|Part A||Determine \(P(13)\)|
|Part B||Determine \(P(25)\)|
Let \(f(N)\) denote the number of ways to express \(N\)
as a sum of two or more consecutive positive integers.
For example \(f(15)=3\) because \(15\) can be expressed as a
sum of consecutive positive integer in \(3\) different ways:
\(15 = 7+8 = 4+5+6 = 1+2+3+4+5\)
|Part A||Determine \(f(25200)\).|
|Part B||Determine \(f(100!)\).|