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from math import sqrt
import time
start = time.time()

inv_h = lambda h: (1 + sqrt(1+8*h))/4
inv_p = lambda p: (1 + sqrt(1+24*p))/6
inv_t = lambda t: (-1 + sqrt(1+8*t))/2

N = 144
while True:
    N += 1
    hex = N*(2*N-1)
    if inv_t(hex).is_integer() and inv_p(hex).is_integer():
        print "Answer:" + str(hex)
        break

print "Elapsed time:{0} seconds".format(time.time()-start)


    

    




Answer:1533776805
Elapsed time:0.0387921333313 seconds

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