corridor.py

import math

def isSquare(n):
	return math.sqrt(n).is_integer()

def reverse(n):
	return int(str(n)[::-1])

def differenceWithReverse(n):
	return abs(reverse(n)-n)

def centuryTotal(century):
	total = 0
	start_year = (century-1)*100 + 1
	for i in range(start_year, start_year+100):
		diff = differenceWithReverse(i)
		if isSquare(diff) :
			total += 1

	return total


for i in range(11, 40):
	print i, "th Century:", centuryTotal(i)

A more math-y way to get the reverse:

def reverse(n):
    reversed = 0
    while n>0 :
        reversed *= 10
        reversed += n%10
        n /= 10
    return reversed