the PRIME minister: Part 2
The prime minister decides to throw a party. He invites 796 people. Before the party, everyone shook everyone else's hand ONCE. Once the party is over, some of the people was unpleased with the party and 111 people left the party rudely (without shaking anyone's hands). The rest of the people shook everyone else's hand once. With the prime minister included, how many handshakes happened in that party?
The answer is 552161.
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