IOM 2019, Блиц — Задача 8

OLYMPIAD OF METROPOLISES, Moscow, September 2, 2019 · 2 септември 2019 г.

Условие

A triangular numeric table consists of four rows. The first row contains four arbitrary integers. The second row contains three sums of the pairs of the adjacent numbers from the first row (in the respective order), the third row contains two sums of the pairs of the adjacent numbers from the second row, and the fourth row contains the sum of the two numbers from the third row. What is the maximal number of odd numbers among these ten integers?

Решение

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Оригинал в Архива: blitz-en-all-task-final.pdf