//
// unavg -- Unwind running average to get raw, pre-averaged values.
//

#include <stdio.h>
#include <stdlib.h>

void main (int argc, char *argv[])
{
    long count;
    int n_avg;
    double temp, new_run_avg, old_run_avg;

    n_avg = (argc > 1) ? atoi(argv[1]) : 10;

    //
    // A running average, of say 10 temperature samples, is computed with:
    //   new_run_avg = (9 * old_run_avg + temp) / 10
    //
    // Now if all you have are the running averages and want to extract
    // the original raw data you need to unwind the average, which is to
    // reverse the above equation; i.e., to solve for temp given a series
    // of new_run_avg:
    //
    // Start with:     new_run_avg = (9 * old_run_avg + temp) / 10
    // then:      10 * new_run_avg = (9 * old_run_avg + temp)
    // and:       10 * new_run_avg -  9 * old_run_avg = temp
    // So: temp = 10 * new_run_avg -  9 * old_run_avg
    //

    for (count = 0; 1 == fscanf(stdin, "%lf", &new_run_avg); count += 1) {
        if (count > 0) {
            temp = n_avg * new_run_avg - (n_avg - 1) * old_run_avg;
            printf("%.6lf %.6lf\n", new_run_avg, temp);
        }
        old_run_avg = new_run_avg;
    }
}