Home Register Teams Puzzles Solve Rules FAQ Credits Archives

### Solutions for Act III Scene 2 - Bowling

The puzzle provides a valid ten-pin bowling scoresheet (as suggested by the title) for ten players. A reasonable idea would be to calculate the final score for each player.

Now, taking the first letter of each name spells out ARITHMETIC. Indeed, a strike (X) looks like a multiplication symbol, a spare (/) looks like a division symbol, while a gutter ball (-) looks like a subtraction symbol. Using these interpretations, we can see that each row gives a valid arithmetic expression. Evaluating each expression (obeying the usual order of operations) gives us an integer each time, which suggests that we are indeed on the right idea.

 Name Bowling score Arithmetic expression Alice 128 62 x 9 - 279/62 x 2/9 - 5/1 = 552 Rikku 120 35 x 16 x 27 - 6 x 6/9 - 51 = 15065 Isaac 127 9/27 x 36 - 3 x 7/24 x 8/7 = 11 Tyrol 115 8/24 x 33 x 9/3 - 15 x 2/3 = 23 Henri 98 22162/7 - 26 x 4/13 x 23 = 2982 Masud 108 6/33 x 4235 - 8 x 1/11 x 44 = 738 Ellis 133 71 x 637/7 - 18 x ((4/3)/3)/8 = 6460 Tania 85 341/11 x 7/17 - 39/51 - 2 = 10 Itzel 126 31 x 357 - 7/81 x 54 x 6/4 = 11060 Craig 111 173/8 - 9/7 - ((456/336)/4)/1 = 20

The next step is found by looking at the names again (the oddness of some of the names would suggest that first letters are not the only piece of information contained within them). Indeed, taking the last letter of each name spells out EUCLIDSALG. This is referring to the Euclidean Algorithm, which is a method for calculating the Greatest Common Divisor of two integers. This implies that we should calculate the GCD of the two integers that we have produced in each row. Indeed, each GCD is no greater than 26, so we can convert these values to letters.

 Name Bowling score Arithmetic expression GCD Letter Alice 128 552 8 H Rikku 120 15065 5 E Isaac 127 11 1 A Tyrol 115 23 23 W Henri 98 2982 14 N Masud 108 738 18 R Ellis 133 6460 19 S Tania 85 10 5 E Itzel 126 11060 14 N Craig 111 20 1 A

Finally, if we arrange the letters by decreasing bowling score, we get SHANEWARNE (a famous Australian bowler, although in a different sport).