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Omni-MATH / There are 10 birds on the ground. For any 5 of them, there are at least 4 birds on a circle. Determine the least possible number of birds on the circle with the most birds.

Problem

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problem

There are 1010 birds on the ground. For any 55 of them, there are at least 44 birds on a circle. Determine the least possible number of birds on the circle with the most birds.
Plain-text mathematical notation (without MathML)
There are 10 birds on the ground. For any 5 of them, there are at least 4 birds on a circle. Determine the least possible number of birds on the circle with the most birds.
Original LaTeX notation
There are $10$ birds on the ground. For any $5$ of them, there are at least $4$ birds on a circle. Determine the least possible number of birds on the circle with the most birds.

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