This task is actually very funny. If we have initial number of N and everyone is going to separate until there is one left or a couple left which means that all the possible handshakes are going to take place, which means if there are N people there will be ((N-1)*N)/2 handshakes (sum of numbers form 1 to N-1) but considering that there are couples which don't give handshakes to one another which means we should subtract the number of couples from our answer.
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