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--- pow:problem1f21 [2021/09/13 02:42]
mazur created
+++ pow:problem1f21 [2021/10/03 12:23] (current)
mazur
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+<box 80% round orange| Problem 1 (due Monday, September 13)>
+In a certain village there are 333 voters. Each voter belongs to one of two
+parties: knights or knaves. Knaves sometimes lie and sometimes
+tell the truth, while knights always tell the truth. Every voter knows
+the
+party affiliation of all voters and there are more knights than knaves.
+You, the mathematician, arrive to the village with the task to meet a knight.
+You can ask each voter the following question about
+any voter: is she/he a knight? Find a knight by asking as few
+questions as you can.
+</box>
+Only two solutions were received: one containing a partial solution with some useful observations and
+one complete with the most efficient method we know (we do not know if a better procedure is possible).
+For details see the following link {{:pow:2021fproblem1.pdf|Solution}}.