On the Subject of Greek Calculus

The bomb makers are clever. Either the bomb explodes, or they get the answers to their calculus problems. Make your choice. Also, they like Greek letters. Good luck!

• This module contains two screens, labeled x and y, showing data points on a function. It also contains two parameters written to the right of the screens, one blue, one yellow, and a colored LED above the screens.
• The full list of data points can be cycled through using the left and right buttons near the x screen. The data points are sorted in increasing x order, and wrap around.
• Some of the y values and both parameters are encoded using lowercase Greek letters. Their values can be found using Table 1 below.
• There will always be data points with x values equal to each parameter.
• According to the color of the LED, perform the correct calculation using Table 2 below.
• After the answer has been determined, use the number buttons below the screen to input the result. If the result is negative, input the absolute value of the result and then hit the “NEG” button. Push the “CHK” button to check.
• If either the incorrect answer is submitted or more than 9 digits were punched into the module, a strike is given and the input is reset to positive 0.
• A note on rounding: If the number to be rounded lies exactly halfway between two integers, always round to the greater integer. (e.g. 3.5 rounds to 4, -9.5 rounds to -9)
• Note:Bl: Blue parameter, Ye: Yellow parameter

Table 1: Greek Letter to Number Conversion Table

Letter	English Name	Number Represented
α	alpha	#Lit indicators
β	beta	#AA batteries
χ	chi	Bl + Ye
δ	delta	Last digit of Serial#
ε	epsilon	Maximum y-value on the module in numeric form only.
η	eta	X_min on the module
γ	gamma	#Ports
ι	iota	#Unlit indicators
κ	kappa	9 if letter = digits in Serial#, else 8.
λ	lambda	|Bl-Ye|.
μ	mu	#Battery holders
ν	nu	#D batteries
ω	omega	First digit of Serial#
ο	omicron	#Port plates
φ	phi	2
π	pi	3
ψ	psi	#Ind
ρ	rho	#Port types
σ	sigma	Sum of all digits in the Serial#
τ	tau	6
θ	theta	Minimum y-value on the module in numeric form only.
υ	upsilon	#Batteries
ξ	xi	X_max on the module
ζ	zeta	Number of data points given on this module

Table 2: LED Calculations Table

Green LED: (Bl + Ye)/2=a. Within the list, call smallest x2 in (x2,y2) and largest x1 in (x1,y1) such that x2>a>x1. The answer is (y2-y1)/(x2-x1), then rounded to the nearest integer.

Red, Blue or Yellow LED: If Bl=Ye, submit 0. Otherwise, starting from x equal to the lower parameter and ending at x equal to the higher parameter (both inclusive), for each pair of adjacent data points (x1,y1) and (x2,y2) within the list, where x2 > x1. If the LED is Red, calculate y1*(x2-x1). If the LED is Blue, calculate y2*(x2-x1). If the LED is Yellow, calculate (y1-y2)*(x2-x1)/2. Add all the results together. If Bl < Ye, this sum is the answer. Otherwise, negate this sum to get the answer. Round the answer to the nearest integer.

Otherwise: Answer = Sum of all y value with x between 2 parameters.