On the Subject of Not X01

Presumption and a sweaty hand are the keys to all bomb-related accidents.

• This module consists of a 10-section dartboard with sector value numbering along the edges. Note the north-facing sector of the dartboard is green-tan on this module instead of red-black.
• Select the bullseye to activate the module. Once activated, the module will hide the sector values and flash a sequence of sectors with a pause between repeats. The first stage will have six flashes. The second stage will add three flashes, and the third stage will add another three flashes.
• Each of the ten sectors will have a boolean value, either set to true or false. All the boolean values will initially be set to false. Go through each of the conditions in List A, and for each true condition, toggle the sectors that the condition’s response corresponds to. (If the sector is set to false, make it true. If the sector is set to true, make it false.)
  • Note: A partial sum in a sequence is the sum of the current number in the sequence and all previous numbers in the sequence. For example, if the sequence is (3, 4, 7), the partial sums are (3, 7 (3 + 4), 14 (3 + 4 + 7)). The final sum is the sum of all the flashes, or the final partial sum.
  • Tip: For all the conditions in List A except the last, if it is true at any point, it will remain true for all future stages. For the last condition in List A, if it is false at any point, it will remain false for all future stages.
• After all the conditions in List A have been checked, the sectors that are set to “true” are considered to be in the base set.
• Next, refer to List B with the base set for that stage. Go through the list from top to bottom, and find the first condition that applies. Submit all the sectors that the condition corresponds to.
• Submitting the correct set of sectors will advance you to the next stage. Submitting the incorrect set of sectors will incur a strike, and redisplay the values of the sectors. Submitting the correct set of sectors three times will disarm the module.

List A

If...	.., then toggle the sectors that...
any partial sum of flashing sector values is divisible by 25	flashed in the sequence before the first of such partial sums was reached.
three adjacent sectors flashed in clockwise order	are one space clockwise from an odd-valued sector.
three adjacent sectors flashed in anticlockwise order	are one space anticlockwise from an even-valued sector.
two consecutive flashes are diametrically opposed	are diametrically opposite a prime-valued sector.
three distinct even-valued sectors flash consecutively	are on the top half of the dartboard.
two or more pairs of consecutive flashes have sector values with a difference of ten or greater.	have sector values of ten or greater.
all prime-valued sectors flash at least once	have even sector values.
any sector flashes three or more times	are red-black.
no sector flashes twice in a row nor do any adjacent pairs of sectors flash consecutively	are on the opposite half of the board from the sector with largest value.

List B

If..	.., then select the sectors that are...
the base set is empty	composite-valued.
the final sum is divisible by any partial sum other than the first and itself	not in the base set.
the final sum is prime	diametrically opposite a sector in the base set.
there are three or more prime partial sums	one space clockwise from a sector in the base set.
there are no prime partial sums	one space anticlockwise from a sector in the base set.
the final sum is a multiple of seven.	vertically opposite a sector in the base set.
three or more partial sums are multiples of seven	horizontally opposite a sector in the base set.
the digital root of the final sum is contained in the serial number	in the base set or have a last digit that is contained in the serial number.
the base set contains more than five sectors	in the base set and have a last digit that is not contained in the serial number.
no above rule applies	in the base set.