AddPeriodic | Topcoder Archive

Problem Statement

You are given two Strings A and B, each containing the representation of a nonnegative periodic decimal. More precisely, A and B are each given in the form "X.Y(Z)", where:

X, Y, Z are sequences of digits
X and Z are non-empty
X is either "0" or it starts with a nonzero digit.

Y is called the pre-period and Z is called the period. For example, "0.(3)" and "0.33(333)" are two valid representations of the number 1/3, and "12.(0)" and "11.(9)" are two valid representations of the number twelve.

Let C = A + B. Return a String containing a representation of C in the same format. Minimize the length of the pre-period and also the length of the period in the representation of C. If the period can be either 0 or 9, use 0.

Definition

Class:: AddPeriodic
Method:: add
Parameters:: String, String
Returns:: String
Method signature:: String add(String A, String B)
(be sure your method is public)

Constraints

A and B will each have between 5 and 12 characters, inclusive.
A and B will each have the form from the problem statement.

Examples

```
"0.33(333)"
```
```
"0.(66)"
```
```
Returns: "1.(0)"
```
1/3 + 2/3 = 1
```
"2.41(5)"
```
```
"5.36(22)"
```
```
Returns: "7.(7)"
```
2.41555555... + 5.362222222... = 7.77777777...

"685.4(757)"

"45.356(43)"

Returns: "730.832(210119)"

```
"0.(101)"
```
```
"0.(23)"
```
```
Returns: "0.(333424)"
```
```
"0.0(999999)"
```
```
"1.5(00000)"
```
```
Returns: "1.6(0)"
```
The input may contain a number whose period consists of all nines, but in order to have a unique correct output the output is not allowed to contain such a period. This test case is the addition 0.1 + 1.5 = 1.6

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