A pure infinitely$-$repeating decimal number is defined as a decimal where all digits in the fractional part are non$-$zero and

repeat infinitely. For example, $3.142857$ represents a pure infinitely$-$repeating decimal number with the repeating sequence

$142857.$ Conversely, $3\mathrm{.}6142857$ is not a pure infinitely$-$repeating decimal number as it contains non$-$repeating digits in its

fractional part. In this problem, it is assumed that all decimal numbers provided are pure infinitely$-$repeating. Please write a

program to compute the sum of two pure infinitely$-$repeating decimal numbers.

Input Format $($Please use java.util.Scanner to read the input.$)$

The first line is an integer n indicating the number of test cases. Each test case consists of two pure infinitely$-$repeating

decimal numbers x and y$.$ Both x and y may be positive. For example, $9\mathrm{.}2$ indicates $9.2$; $3\mathrm{.}56$ indicates $3.56.$

Output Format

For each test case consisting of pure infinitely$-$repeating decimal numbers x and y$,$ print the sum of x and y$.$

Note that your output may either a pure infinitely$-$repeating decimal number or an integer. Even though $0\mathrm{.}14285714$ and

$0.142857$ are numerically equal, the former is not allowed. For $0.9,$ your program should output an integer, rather than a

decimal.

Each test case consists of two decimal numbers x and y from $(0,100)$Sample Input and Output

$$

$$

$(1)9\mathrm{.}2+3\mathrm{.}56$

$9\mathrm{.}22+3\mathrm{.}56=12\mathrm{.}78$

$(2)2\mathrm{.}34+1\mathrm{.}234$

$2\mathrm{.}343434+1\mathrm{.}234234=3\mathrm{.}577668$

$$

$-$

$(3)6\mathrm{.}80\mathrm{.}142857$

$6\mathrm{.}888888+0\mathrm{.}142857=7\mathrm{.}031756()$

Sample Input and Output

$$

$$

$\frac{0.}{b}ar(9).$

$(4)1\mathrm{.}234+4\mathrm{.}321=5\mathrm{.}5(5\mathrm{.}555)$

$(5)88\mathrm{.}3+11\mathrm{.}6=100(99\mathrm{.}9)$

API$$:

double java.lang.Double.parseDouble$($String s$)$

String java.lang.Double.toString$($double d$)$

String java.lang.String.substring$($int beginIndex$)$

double java.lang.Math.pow$($double a$,$ double b$)$

long java.lang.Math.round$($double a$)$

String java.lang.String.format$($String format, Object... args$)$