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35 lines
910 B
Python
35 lines
910 B
Python
def main():
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"""
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Consider all integer combinations of ab for 2 <= a <= 5 and 2 <= b <= 5:
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22=4, 23=8, 24=16, 25=32
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32=9, 33=27, 34=81, 35=243
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42=16, 43=64, 44=256, 45=1024
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52=25, 53=125, 54=625, 55=3125
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If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:
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4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125
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How many distinct terms are in the sequence generated by ab for 2 <= a <= 100 and 2 <= b <= 100?
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"""
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collectPowers = set()
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currentPow = 0
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N = 101 # maximum limit
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for a in range(2,N):
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for b in range (2,N):
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currentPow = a**b # calculates the current power
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collectPowers.add(currentPow) # adds the result to the set
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print "Number of terms ", len(collectPowers)
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if __name__ == '__main__':
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main()
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