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IMAS 2021–2022 Junior Division, Round 2 Question 14

IMAS · IMAS 2021–2022 Junior Division, Round 2

Question 14

Seven integers $a_0,a_1,\ldots,a_6$, where $a_i$ is the number of $i$’s among $a_0,a_1,\ldots,a_6$, for each $0\le i\le6$. Find the value of these numbers.