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@ -2,8 +2,6 @@
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Solution By: Reniz Shah
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Topic: Deterministic Finite Automaton (DFA)
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Given a string s, return whether s is a valid number or not
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Input: s = -90E3
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Output: True
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Leetcode link: https://leetcode.com/problems/valid-number/description/
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"""
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@ -53,100 +51,6 @@ state_machine: dict[State, dict[CharType, State]] = {
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State.EXP_NUMBER: {CharType.NUMERIC: State.EXP_NUMBER},
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}
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from enum import Enum
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from typing import Dict
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class CharType(Enum):
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NUMERIC = "NUMERIC"
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SIGN = "SIGN"
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EXPONENT = "EXPONENT"
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DECIMAL = "DECIMAL"
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class State(Enum):
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INITIAL = "INITIAL"
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SIGNED = "SIGNED"
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WHOLE = "WHOLE"
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FRACTIONAL = "FRACTIONAL"
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FRACTION = "FRACTION"
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EXPONENTIAL = "EXPONENTIAL"
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EXP_SIGN = "EXP_SIGN"
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EXP_NUMBER = "EXP_NUMBER"
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state_machine: Dict[State, Dict[CharType, State]] = {
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State.INITIAL: {
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CharType.NUMERIC: State.WHOLE,
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CharType.SIGN: State.SIGNED,
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CharType.DECIMAL: State.FRACTIONAL,
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},
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State.SIGNED: {CharType.NUMERIC: State.WHOLE, CharType.DECIMAL: State.FRACTIONAL},
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State.WHOLE: {
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CharType.NUMERIC: State.WHOLE,
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CharType.DECIMAL: State.FRACTION,
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CharType.EXPONENT: State.EXPONENTIAL,
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},
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State.FRACTIONAL: {CharType.NUMERIC: State.FRACTION},
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State.FRACTION: {
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CharType.NUMERIC: State.FRACTION,
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CharType.EXPONENT: State.EXPONENTIAL,
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},
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State.EXPONENTIAL: {
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CharType.NUMERIC: State.EXP_NUMBER,
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CharType.SIGN: State.EXP_SIGN,
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},
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State.EXP_SIGN: {CharType.NUMERIC: State.EXP_NUMBER},
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State.EXP_NUMBER: {CharType.NUMERIC: State.EXP_NUMBER},
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}
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from enum import Enum
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from typing import Dict
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class CharType(Enum):
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NUMERIC = "NUMERIC"
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SIGN = "SIGN"
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EXPONENT = "EXPONENT"
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DECIMAL = "DECIMAL"
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class State(Enum):
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INITIAL = "INITIAL"
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SIGNED = "SIGNED"
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WHOLE = "WHOLE"
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FRACTIONAL = "FRACTIONAL"
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FRACTION = "FRACTION"
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EXPONENTIAL = "EXPONENTIAL"
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EXP_SIGN = "EXP_SIGN"
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EXP_NUMBER = "EXP_NUMBER"
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state_machine: Dict[State, Dict[CharType, State]] = {
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State.INITIAL: {
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CharType.NUMERIC: State.WHOLE,
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CharType.SIGN: State.SIGNED,
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CharType.DECIMAL: State.FRACTIONAL,
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},
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State.SIGNED: {CharType.NUMERIC: State.WHOLE, CharType.DECIMAL: State.FRACTIONAL},
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State.WHOLE: {
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CharType.NUMERIC: State.WHOLE,
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CharType.DECIMAL: State.FRACTION,
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CharType.EXPONENT: State.EXPONENTIAL,
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},
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State.FRACTIONAL: {CharType.NUMERIC: State.FRACTION},
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State.FRACTION: {
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CharType.NUMERIC: State.FRACTION,
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CharType.EXPONENT: State.EXPONENTIAL,
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},
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State.EXPONENTIAL: {
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CharType.NUMERIC: State.EXP_NUMBER,
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CharType.SIGN: State.EXP_SIGN,
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},
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State.EXP_SIGN: {CharType.NUMERIC: State.EXP_NUMBER},
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State.EXP_NUMBER: {CharType.NUMERIC: State.EXP_NUMBER},
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}
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def classify_char(char: str) -> CharType | None:
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"""
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>>> classify_char('0')
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<CharType.NUMERIC: 'NUMERIC'>
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>>> classify_char('01')
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'decimal'
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>>> classify_char('r')
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"""
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if len(char) != 1:
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return None
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@ -199,15 +100,12 @@ def classify_char(char: str) -> CharType | None:
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def is_valid_number(number_string: str) -> bool:
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"""
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This function checks if the input string represents a valid number.
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It uses a finite state machine to parse the input string,
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transitioning between states based on the character type.
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The function returns True if the input string represents a valid number,
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and False otherwise.
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A valid number is defined as a string that can be parsed into an
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integer, decimal, or exponent.
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>>> is_valid_number("2")
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True
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>>> is_valid_number("0089")
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