Intermediate Math Circles February 24, 2021 State Machines - Extra The Centre for Education in Mathematics and Computing Faculty of Mathematics, University of Waterloo www.cemc.uwaterloo.ca WWW.CEMC.UWATERLOO.CA | The CENTRE for EDUCATION in MATHEMATICS and COMPUTING
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Intermediate Math CirclesFebruary 24, 2021
State Machines - Extra
The Centre for Education in Mathematics and ComputingFaculty of Mathematics, University of Waterloo
www.cemc.uwaterloo.ca
WWW.CEMC.UWATERLOO.CA | The CENTRE for EDUCATION in MATHEMATICS and COMPUTING
Extra Problem #1What device could this state machine be modelling?
idle
ringing
dialing waiting
talking
incoming call
outgoing call
hang up
answer
hang up
complete number
hang upanswer
hang up
WWW.CEMC.UWATERLOO.CA | The CENTRE for EDUCATION in MATHEMATICS and COMPUTING
Extra Problem #2
A popular game involves a character named Mario who turns into differentvariations of himself (Small, Super, Fire, and Cape) depending on objects in hisenvironment (enemies, mushrooms, flowers, and feathers). The rules of thegame are given below:
• The game begins with Small Mario.
• Finding a mushroom turns Small Mario into Super Mario. Mushroomshave no effect on the other variations.
• Finding a fire flower turns all variations into Fire Mario.
• Finding a cape feather turns all variations into Cape Mario.
• A strike from an enemy kills Small Mario. An enemy strike reduces allother variations to Small Mario.
• The desired outcome is to stay alive.
Can you create a state machine to model this game?
WWW.CEMC.UWATERLOO.CA | The CENTRE for EDUCATION in MATHEMATICS and COMPUTING
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