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Omni-MATH / At the round table, 10 people are sitting, some of them are knights, and the rest are liars (knights always say pride, and liars always lie) . It is clear thath I have at least one…

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problem

At the round table, 1010 people are sitting, some of them are knights, and the rest are liars (knights always say pride, and liars always lie) . It is clear thath I have at least one knight and at least one liar. What is the largest number of those sitting at the table can say: ''Both of my neighbors are knights '' ? (A statement that is at least partially false is considered false.)
Plain-text mathematical notation (without MathML)
At the round table, 10 people are sitting, some of them are knights, and the rest are liars (knights always say pride, and liars always lie) .  It is clear thath I have at least one knight and at least one liar. 
What is the largest number of those sitting at the table can say: ''Both of my neighbors are knights '' ?
(A statement that is at least partially false is considered false.)
Original LaTeX notation
At the round table, $10$ people are sitting, some of them are knights, and the rest are liars (knights always say pride, and liars always lie) .  It is clear thath I have at least one knight and at least one liar. 
What is the largest number of those sitting at the table can say: ''Both of my neighbors are knights '' ?
(A statement that is at least partially false is considered false.)

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task_id
a0cc1c1d-051a-5e53-ba38-37a022eef9e1
task_key
test--a0cc1c1d-051a-5e53-ba38-37a022eef9e1
task_revision_id
1
config / split
/ test

Official source

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