olymmath

ZA-SAMO 2019 Problem 2

    We have a deck of 9090 cards that are numbered from 1010 to 9999 (all two-digit numbers). How many sets of three or more different cards in this deck are there such that the number on one of them is the sum of the other numbers, and those other numbers are consecutive?

    Dataset text AI-MO AoPS. Quoted with source.

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