Hard
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>
12
, 0
, and 123
.**<.>**</code>
0.5
, 1.
, 2.12
, and 123.0001
.**<.>****<(>****<)>**</code>
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)
.Example 1:
Input: s = “0.(52)”, t = “0.5(25)”
Output: true
Explanation: Because “0.(52)” represents 0.52525252…, and “0.5(25)” represents 0.52525252525….. , the strings represent the same number.
Example 2:
Input: s = “0.1666(6)”, t = “0.166(66)”
Output: true
Example 3:
Input: s = “0.9(9)”, t = “1.”
Output: true
Explanation: “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:
<IntegerPart>
does not have leading zeros (except for the zero itself).1 <= <IntegerPart>.length <= 4
0 <= <NonRepeatingPart>.length <= 4
1 <= <RepeatingPart>.length <= 4
import kotlin.math.abs
import kotlin.math.pow
class Solution {
fun isRationalEqual(s: String, t: String): Boolean {
return abs(valueOf(s) - valueOf(t)) < 1e-9
}
private val ratios = doubleArrayOf(1.0, 1.0 / 9, 1.0 / 99, 1.0 / 999, 1.0 / 9999)
private fun valueOf(s: String): Double {
if (!s.contains("(")) return java.lang.Double.valueOf(s)
val integerNonRepeating = java.lang.Double.valueOf(s.substring(0, s.indexOf('(')))
val nonRepeatingLength = s.indexOf('(') - s.indexOf('.') - 1
val repeating = s.substring(s.indexOf('(') + 1, s.indexOf(')')).toInt()
val repeatingLength = s.indexOf(')') - s.indexOf('(') - 1
return integerNonRepeating +
repeating * 0.1.pow(nonRepeatingLength.toDouble()) * ratios[repeatingLength]
}
}