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--- Day 3: Binary Diagnostic ---
The submarine has been making some odd creaking noises, so you ask it to produce a diagnostic report
just in case.
The diagnostic report (your puzzle input) consists of a list of binary numbers which, when decoded
properly, can tell you many useful things about the conditions of the submarine. The first parameter
to check is the [1m[37mpower consumption[0m.
You need to use the binary numbers in the diagnostic report to generate two new binary numbers
(called the [1m[37mgamma rate[0m and the [1m[37mepsilon rate[0m). The power consumption can
then be found by multiplying the gamma rate by the epsilon rate.
Each bit in the gamma rate can be determined by finding the [1m[37mmost common bit in the
corresponding position[0m of all numbers in the diagnostic report. For example, given the following
diagnostic report:
00100
11110
10110
10111
10101
01111
00111
11100
10000
11001
00010
01010
Considering only the first bit of each number, there are five 0 bits and seven 1 bits. Since the
most common bit is 1, the first bit of the gamma rate is 1.
The most common second bit of the numbers in the diagnostic report is 0, so the second bit of the
gamma rate is 0.
The most common value of the third, fourth, and fifth bits are 1, 1, and 0, respectively, and so the
final three bits of the gamma rate are 110.
So, the gamma rate is the binary number 10110, or [1m[37m22[0m in decimal.
The epsilon rate is calculated in a similar way; rather than use the most common bit, the least
common bit from each position is used. So, the epsilon rate is 01001, or [1m[37m9[0m in decimal.
Multiplying the gamma rate (22) by the epsilon rate (9) produces the power consumption,
[1m[37m198[0m.
Use the binary numbers in your diagnostic report to calculate the gamma rate and epsilon rate, then
multiply them together. [1m[37mWhat is the power consumption of the submarine?[0m (Be sure to
represent your answer in decimal, not binary.)
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