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문제

You have been asked to write a program that can solve a simple linear equation.

입력

The first line of input contains a single integer P, (1 ≤ P ≤ 1000), which is the number of data sets that follow. Each data set consists of a single line containing one simple linear equation. All equations are strings of less than 200 characters. Each equation will be in the form of ax, followed by a single space, followed by a sign “+”, followed by b, followed by a single space ,followed by a sign “=”, followed by a single space, followed by c.

ax + b = c

where x is the variable (real number) and a, b, c are positive integers.

출력

For each data set, generate two lines of output. The first line will contain “Equation n” where n is the number of the data set. The second line will contain the following answer:

  • If the equation has no solution, print "No solution.".
  • If the equation has infinitely many solutions, print "More than one solution.".
  • If the equation has exactly one solution, print "x = solution" where solution is replaced by the appropriate real number (printed to six decimals).

Print a blank line after each data set case.

예제 입력

5
2x + 3 = 4
124x + 20 = 160
123456x + 7 = 2000
0x + 2 = 3
0x + 2 = 2

예제 출력

Equation 1
x = 0.500000

Equation 2
x = 1.129032

Equation 3
x = 0.016143

Equation 4
No solution.

Equation 5
More than one solution.

힌트