Normalize Waveform

You are given an audio waveform encoded as a space-separated string of triplets. Each triplet contains a value, a frequency, and a duration in that order. Your task is to normalize the waveform by replacing each value with the average of its neighbors and itself. Specifically, for a waveform with n triplets:

• If n = 1, the waveform remains unchanged.
• For the first triplet the new value is the average of the first and second values.
• For the last triplet the new value is the average of the last and the penultimate values.
• For any middle triplet, the new value is the average of the previous, current, and next values.

Note: Use integer division (floor division) when computing averages. All formulas are given in \(\LaTeX\) format. For example, the first element's new value is computed as \(\lfloor \frac{v_1+v_2}{2}\rfloor\) and a middle element as \(\lfloor \frac{v_{i-1}+v_i+v_{i+1}}{3}\rfloor\).

inputFormat

The input is provided via standard input (stdin) as a single line containing space-separated integers representing the waveform triplets. Each triplet is of the form: value frequency duration.

outputFormat

The output, printed to standard output (stdout), should be the normalized waveform in the same triplet format. The values must be updated as per the normalization rule described above.

10 440 1

10 440 1