# It is possible to write five as a sum in exactly six different ways: 
# 4 + 1
3 + 2
3 + 1 + 1
2 + 2 + 1
2 + 1 + 1 + 1
1 + 1 + 1 + 1 + 1 
# How many different ways can one hundred be written as a sum of at least two positive integers? 
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