DISINI 2001EuclidSolution
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Continue moving around the circle repeatedly, erasing every other remaining number, until no numbers remain. Which is the last
The second has an inverted (shaded) equilateral triangle inscribed inside an equilateral triangle as shown.. Each subsequent figure in this sequence is obtained by inserting an
Similarly, the triangle with vertices the center of the top circle and the centers of the two circles in the middle row, is an equilateral triangle with side 2r... Add 0 to the
Now, if a number from group x is in the new sequence, then no number in group 11 − x is allowed to be in the sequence, otherwise the sum of two numbers in those groups will
In any of these cases, if an even number is placed in the empty space, the row or column will be complete and the sum will be even, giving Emilia a point.. If an odd number is placed
On the last pass (an odd-numbered pass from left to right), the rightmost locker will be closed, leaving only the leftmost locker open.. Therefore, starting with a row of 2 2 c + 1
(Try blocking out the numbers larger than each of these to see this.) This pattern does continue since when each of these odd perfect squares is reached, the number of spaces up to
Since Emily first starts on tile 2 and jumps on every second tile, then she lands only on even numbered tiles.. Since she stops on the second last tile, the total number of tiles
