69 lines
2.7 KiB
Markdown
69 lines
2.7 KiB
Markdown
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The time has arrived and you need to pack things up and say goodbye. You are leaving for the
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Farlands, and it's.. far!
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You plan to fly solo over the continents to make it to the Farlands. This is the first time you've
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ever flown for so long, and so you need to prepare a few things before leaving.
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The first order of business is to determine how much fuel you're going to need to reach. To do this,
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you need the empty mass of your aircraft.
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With the mass, you can calculate the total required fuel.
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For each each mass, the amount of fuel can be calculated using this **formula**. Take the mass,
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divide it by 2.5, round down the result, and then subtract 2.
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Before taking off, your friends and family have sent you hundreds of gifts, which you plan to take
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with you. You'll need to know the total amount of fuel needed for your trip.
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Apply the formula for each item (your input), and sum them to get the total requirement.
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### Example
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For a mass of `18`, divide it by `2.5` and round down to get `7`, then subtract `2` to get `5` as
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the fuel requirement.
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For a mass of `58`, divide it by `2.5` and round down to get `23`, then subtract `2` to get `21`.
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For `2022`, the requirement is `806`
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For `84942`, the requirement is `33974`
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**What is the total fuel requirement for your trip?**
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{{ if .Part1.Completed -}}
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**Congratulations! You got Part 1 correct. Your answer was `{{ .Part1.Solution }}`.**
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## Part 2
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Just before you about to take off, your copilot reminded you that you completely forgot to take into
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account the extra fuel needed for the fuel you already have! Just like your parting gifts, apply the
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same **formula** on the fuel to obtain the fuel needed for the fuel.
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So, for each gift, calculate the fuel needed, treat that fuel as the mass itself, and calculate the
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fuel needed, and repeat this process **until** your fuel requirement reaches **zero or a negative
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value**.
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### Example
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For a mass of `18`, divide it by `2.5` and round down to get `7`, then subtract `2` to get `5` as
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the fuel requirement. `5` divided by `2.5` gives you `1`, and subtracting `2` gives you `-1` so the
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total fuel required is still `5`.
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For a mass of `58`, `21` fuel is used. Then, `21` needs `6` more fuel, and `6` requires no further
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fuel. The total fuel needed is `21+6 = 27`
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For `2022`, the requirement is `806+320+126+48+17+4 = 1321`
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Using this new formula, **what is the fuel total fuel requirements** for all the mass, but also
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including the mass of the newly added fuel?
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> Calculate the requirements seperately, and them sum them together for each item.
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{{ if .Part2.Completed -}}
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**Congratulations! You have completed both parts! The answer was `{{ .Part2.Solution }}`.**
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{{- end }}
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{{- end }}
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