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36 people {a1, a2, ..., a36} meet and shake hands in a circular
fashion. In other words, there are totally 36 handshakes involving the
pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the
smallest set of people such that the rest have shaken hands with at
least one person in the set is.
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36 people {a1, a2, ..., a36} meet and shake hands in a circular
fashion. In other words, there are totally 36 handshakes involving the
pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the
smallest set of people such that the rest have shaken hands with at
least one person in the set is.
The citizens of planet nigiet are 8 fingered and have thus
developed their decimal system in base 8. A certain street in nigiet
contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are
used in numbering these buildings?