Acid and Base

Time limit1sMemory limit256 MB

Summary

Compute the pH from each given H+ or OH- concentration with the log formulas and print it rounded to two decimals.

Level: Easy1 of 10
Topics: Math, Implementation
Solved: No attempts yet

Problem

The pH of a solution measures how water ionizes to form $H^+$ (acids) or $OH^-$ (bases).

There are four variables ( $pH$ , $pOH$ , $H^+$ , and $OH^-$ ) and two equations:

$pH = -\log_{10}(H^+)$

$pOH = -\log_{10}(OH^-)$

They are also related by $pH + pOH = 14$ .

Input

The first line contains the number of data sets. Each data set is either an $H^+$ concentration written as H = ... or an $OH^-$ concentration written as OH = ....

Output

For each data set, print the pH rounded to the nearest hundredth.

Examples1

Example 1

Input

3
H = 0.001
OH = 0.001
H = 0.012

Expected output

3.00
11.00
1.92