mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 13:31:07 +00:00
35 lines
910 B
Python
35 lines
910 B
Python
def main():
|
|
"""
|
|
Consider all integer combinations of ab for 2 <= a <= 5 and 2 <= b <= 5:
|
|
|
|
22=4, 23=8, 24=16, 25=32
|
|
32=9, 33=27, 34=81, 35=243
|
|
42=16, 43=64, 44=256, 45=1024
|
|
52=25, 53=125, 54=625, 55=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?
|
|
"""
|
|
|
|
collectPowers = set()
|
|
|
|
currentPow = 0
|
|
|
|
N = 101 # 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
|
|
|
|
|
|
print "Number of terms ", len(collectPowers)
|
|
|
|
|
|
if __name__ == '__main__':
|
|
main()
|