## On the Subject of Complexity

It’s imaginary, but in the worst way imaginable.

This module is from ██████-i[8+8i], and it has the following displays from top to bottom and then from right to left: operator, submit button, backspace, button for negatives, right screen, digit appender, left screen and a digit selector.

To solve the module, perform simple math problems in the complex base x+yi.

There are 3 stages, each of which picks a random operator from the set `+-×÷`

. A strike will reset the stage.

All numbers are given in base x+yi, where x and y are both within a range of 2 to 8 inclusive. The symbols on the module must be interpreted as shown in the table.

The right screen shows the two numbers to apply the operator on (top operator bottom). The left screen shows your current input. The input must be entered from most significant digit to least significant digit.

To find the base you will be using for the module, Look at the highest digit the real and imaginary component can be and add 1 to both. The value derived from the real component is represented as x and the other value as y. The base would be labeled as base x+yi.

In this base you should interpret real and imaginary as separate. The real component would be set up in base x and the imaginary component in base y. Then afterwards the digits simply get merged. When the two numbers do not have equal lengths, 0's will be prepended to the one with less digits.

Normal base systems (with base b) work as follows: starting from the rightmost digit every step left multiplies the initial multiplier of 1 by b. Add all the values in the number together after having each multiplied by the value of the multiplier when it was at that position. All available digits are within 0 to b-1 inclusive.