On the Subject of Math ’em

Don’t lose your brain in the shuffle.

On this module is a board with 16 tiles arranged into four rows.
Each tile can be one of four colours: White, Bronze, Silver, and Gold and one of three types: Constant, Variable, and Operator.

• Substitute in the values of each variable and read the tiles from left to right, top to bottom, to form a mathematical equation.
• Concatenate the digits of the tiles between each pair of operators to form a sequence of numbers.
• If any starting value exceeds 99999999, take only its first eight digits.
• Sequentially apply each operator to each pair of numbers in reading order, taking the output of the previous operation as an input of the next, until left with a single number.
  • If two or more operator tiles appear consecutively, the first and last of them form a Combined Operator.
  • If the first tile is an operator, apply it to the first and last numbers of the sequence.
  • If the last tile is an operator, apply it to the result of the previous operation and the first number of the sequence.
• Enter the output of the last operator into the keypad and submit it.
  • Pressing the back key will remove the last entered digit.
  • If the final value exceeds 99999999, enter only its last eight digits.

If the submission is correct, the hatch will open, revealing a button. Pressing this button will flip over the tiles and shuffle them five times. Each shuffle is one of the following:

• Swapping two rows/columns of tiles.
• Shifting a row/column one space.
• Cycling four tiles at the corners of a rectangle.

Once all five shuffles are complete, repeat the steps above, this time with the shuffled grid of tiles.

• Variables that are dependent on the position of tiles on the board are updated according to their new arrangement.
• Variables that are dependent on time are updated according to the time that the last shuffle was completed.

If an incorrect value is submitted at this stage, the board will reset and a new sequence of shuffles will begin once the button is pressed.

Constants

0	1	2	3	4
5	6	7	8	9

Variables

The value of any variable must lie in the range 0–9, take the last digit of any value greater than or equal to ten.

Operators

	The sum of the inputs.
	The difference between the inputs.
	The larger of the two inputs modulo the smaller.
	Convert both inputs into binary. Perform a XOR operation on each bit of the two inputs. Convert the result into decimal.

Combined Operators

Note: -Round down any non-integer outputs.
-If a division operator is applied to zero, the result is zero.

Interactive Controls

• Type 1, 2, 3, 4 to quickly switch between modes.
• In Place Tile mode:
  • Select a tile stamp, then click a cell to place the selected tile.
  • Or select a cell first, then click a tile stamp to place that tile and select the next cell.
  • Type W, B, S, G or use color buttons to set the selected cell color.
• In Swap mode:
  • Click on two cells, rows, or columns to swap their contents.
• In Shift mode:
  • Left-click a row or column to shift contents right or down.
  • Right-click a row or column to shift contents left or up.
• In Rotate mode:
  • Click to select one corner of the rectangle to rotate.
  • Left-click on the opposite corner of the rectangle to rotate clockwise.
  • Right-click to rotate counter-clockwise.
• The Clear button resets the grid.
• The Save button creates a new save state.
• The sound effects can be muted.
• Use Reset Saves to clear all saved states.
• The Reset All button resets the entire interactive.