Saturday, December 5, 2009

Billiard Balls

There exist 8 balls, seven of equal weight, one heavier.

There exists a balancing scale.

Find the heavy ball with 2 weighings (uses of the scale).

Solution in ASCII-HEX. (here's a converter)

4E 61 6D 65 20 74 68 65 20 62 61 6C 6C 73 3A 20 31 2C 20 32 2C 20 33 2C 20 34 2C 20 35 2C 20 36 2C 20 37 2C 20 38 2E 1F 57 65 69 67 68 20 31 2C 32 2C 33 20 61 67 61 69 6E 73 74 20 34 2C 35 2C 36 2E 1F 49 66 20 74 68 65 79 20 77 65 69 67 68 20 74 68 65 20 73 61 6D 65 3A 1F 20 57 65 69 67 68 20 37 20 61 67 61 69 6E 73 74 20 38 2E 1F 20 54 68 65 20 68 65 61 76 69 65 72 20 69 73 20 74 68 65 20 73 6F 6C 75 74 69 6F 6E 2E 1F 45 6C 73 65 20 69 66 20 31 2C 32 2C 33 20 69 73 20 68 65 61 76 69 65 72 20 74 68 61 6E 20 34 2C 35 2C 36 3A 1F 20 57 65 69 67 68 20 31 20 61 67 61 69 6E 73 74 20 32 2E 1F 20 49 66 20 74 68 65 79 20 77 65 69 67 68 20 74 68 65 20 73 61 6D 65 2C 20 33 20 69 73 20 74 68 65 20 73 6F 6C 75 74 69 6F 6E 2E 1F 20 45 6C 73 65 20 74 68 65 20 68 65 61 76 69 65 72 20 69 73 20 74 68 65 20 73 6F 6C 75 74 69 6F 6E 2E 1F 45 6C 73 65 20 34 2C 35 2C 36 20 69 73 20 68 65 61 76 69 65 72 20 74 68 61 6E 20 31 2C 32 2C 33 3A 1F 20 57 65 69 67 68 20 34 20 61 67 61 69 6E 73 74 20 35 2E 1F 20 49 66 20 74 68 65 79 20 77 65 69 67 68 20 74 68 65 20 73 61 6D 65 2C 20 36 20 69 73 20 74 68 65 20 73 6F 6C 75 74 69 6F 6E 2E 1F 20 45 6C 73 65 20 74 68 65 20 68 65 61 76 69 65 72 20 69 73 20 74 68 65 20 73 6F 6C 75 74 69 6F 6E 2E
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