cgreenp/nptel-introduction-to-programming-in-c-assignment-3-question-2

NPTEL Introduction to Programming in C Assignment 3 Question 2

NPTEL-Introduction-to-Programming-in-C-Assignment-3-Question-2

NPTEL Introduction to Programming in C Assignment 3 Question 2

Question 2

When you keep track of stock prices, or your weight during a diet programme, the daily prices or weights fluctuate a lot. One way to identify the general trend is to keep track of the average over the last 3 days, for example. This technique often smooths out the fluctuations, and makes the trend clearer. This technique is called "moving average".

In this question, you have to output the "moving average" of a sequence of non-negative numbers. The moving average is the sequence of averages of the last 3 entries. For the first 2 numbers, no average is output.

For example, if the sequence of numbers is

a1, a2, a3, a4, a5

and k=3, then the 3-moving average is

(a3+a2+a1)/3, (a4+a3+a2)/3, (a5+a4+a3)/3.

Input

The input is a sequence of non-negative floating point numbers, terminated by a -1. The -1 is not part of the sequence. There will be at least 3 numbers in the sequence.

Output

You have to output the moving average of the sequence. The output should be printed correct to one digit after the decimal.

Sample Input 1

70.8 70.9 71.2 70.7 70.2 -1

Sample Output 1

71.0 70.9 70.7

Sample Input 2

1 2 0 1 -1

Sample Output 2

1.0 1.0