""" Consider all integer combinations of ab for 2 <= a <= 5 and 2 <= b <= 5: 2^2=4, 2^3=8, 2^4=16, 2^5=32 3^2=9, 3^3=27, 3^4=81, 3^5=243 4^2=16, 4^3=64, 4^4=256, 4^5=1024 5^2=25, 5^3=125, 5^4=625, 5^5=3125 If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms: 4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125 How many distinct terms are in the sequence generated by ab for 2 <= a <= 100 and 2 <= b <= 100? """ def solution(n): """Returns the number of distinct terms in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100. >>> solution(100) 9183 >>> solution(50) 2184 >>> solution(20) 324 >>> solution(5) 15 >>> solution(2) 1 >>> solution(1) 0 """ collectPowers = set() currentPow = 0 N = n + 1 # maximum limit for a in range(2, N): for b in range(2, N): currentPow = a ** b # calculates the current power collectPowers.add(currentPow) # adds the result to the set return len(collectPowers) if __name__ == "__main__": print("Number of terms ", solution(int(str(input()).strip())))