How to Solve Equal Rational Numbers Problem
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Equal Rational Numbers
Given two strings s and t, each of which represents a non-negative rational number, return true if and only if they represent the same number. The strings may use parentheses to denote the repeating p...
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Understanding the Equal Rational Numbers Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
Given two strings s and t, each of which represents a non-negative rational number, return true if and only if they represent the same number. The strings may use parentheses to denote the repeating part of the rational number. A rational number can be represented using up to three parts: <IntegerPart>, <NonRepeatingPart>, and a <RepeatingPart>. The number will be represented in one of the following three ways: <IntegerPart> For example, 12, 0, and 123. <IntegerPart><.><NonRepeatingPart> For example, 0.5, 1., 2.12, and 123.0001. <IntegerPart><.><NonRepeatingPart><(><RepeatingPart><)> For example, 0.1(6), 1.(9), 123.00(1212). The repeating portion of a decimal expansion is conventionally denoted within a pair of round brackets. For example: 1/6 = 0.16666666... = 0.1(6) = 0.1666(6) = 0.166(66).
Equal Rational Numbers
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Examples
s = "0.(52)", t = "0.5(25)"
true
Because "0.(52)" represents 0.52525252..., and "0.5(25)" represents 0.52525252525..... , the strings represent the same number.
s = "0.1666(6)", t = "0.166(66)"
true
s = "0.9(9)", t = "1."
true
"0.9(9)" represents 0.999999999... repeated forever, which equals 1. [See this link for an explanation.] "1." represents the number 1, which is formed correctly: (IntegerPart) = "1" and (NonRepeatingPart) = "".
Constraints
Each part consists only of digits.
The <IntegerPart> does not have leading zeros (except for the zero itself).
1 <= <IntegerPart>.length <= 4
0 <= <NonRepeatingPart>.length <= 4
1 <= <RepeatingPart>.length <= 4
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