The Halfway Fix

Your lab has a temperature sensor that’s a bit noisy. To stabilize the readings, the lab uses a simple trick: it blends each new reading with the long-term average, pulling the value halfway toward that average.

Today, you’re asked to build a tiny predictor that follows this rule.

First, you’ll learn the sensor’s long-term behavior from past data. You should compute the global mean M of the historical readings. Then, for each incoming reading r, output the adjusted prediction:

The first line of the input contains a single integer n - the number of past readings.

The second line contains n space-separated integers representing the reading values of the sensor.

The third line contains a single integer q - the number of incoming readings to adjust.

The fourth line contains q numbers (integers or decimals) - the incoming readings.

The program should print one adjusted value per line, in order.