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A composition of an integer \$n\$ is a representation of \$n\$ as a sum of positive integers. For example the eight compositions of 4 are as follows:
4, 3 + 1, 1 + 3, 2 + 2, 2 + 1 + 1, 1 + 2 + 1, 1 + 1 + 2, 1 + 1 + 1 + 1.
The challenge is to output the number of compositions of \$n\$ in which th...
