Build an implementation of a binary-tree ADT.e Software
$10-30 USD
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$10-30 USD
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Build an implementation of a binary-tree ADT.
Use it to evaluate an arithmetic expression which (for the sake of simplicity) includes only binary operations.
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1. The purpose of the exercise is to practice building and traversing an expression
tree; so I want you to build a tree to hold the expression, and to evaluate the expression
by traversing the tree. If you have another idea about how to evaluate the expression
without building the expression tree, I encourage you to reconsider.
2. Please use the following syntax for the arithmetic expressions that I want you to process:
<expression> ::= <term> | <term> + <expression> | <term> - <expression>
<term> ::= <factor> | <factor> * <term> | <factor> / <term>
<factor> ::= <constant> | ( <expression> )
<constant> ::= 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
You can make it slightly more complex by allowing greater integers than 9,
but you can let your constants range from 0 to 9 only.
3. Make sure you understand how this syntax defines operator precedence and associativity
rule.
operator precedence: 3*5+4 is interpreted as (3*5)+4 rather than 3*(5+4).
associativity rule: 3-5-4 is interpreted as 3-(5-4) rather than (3-5)-4.
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Hi there,
I'm a software engineer with 3 years of experience in Java development. I have taken a number of Data Structures courses and I can certainly help you with traversing through your simple arithmetic trees. Looking forward to your response. Regards
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Best regards