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# Instructions | ||
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Given a string containing brackets `[]`, braces `{}`, parentheses `()`, or any combination thereof, verify that any and all pairs are matched and nested correctly. | ||
The string may also contain other characters, which for the purposes of this exercise should be ignored. | ||
Any other characters should be ignored. | ||
For example, `"{what is (42)}?"` is balanced and `"[text}"` is not. |
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# Introduction | ||
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You're given the opportunity to write software for the Bracketeer™, an ancient but powerful mainframe. | ||
The software that runs on it is written in a proprietary language. | ||
Much of its syntax is familiar, but you notice _lots_ of brackets, braces and parentheses. | ||
Despite the Bracketeer™ being powerful, it lacks flexibility. | ||
If the source code has any unbalanced brackets, braces or parentheses, the Bracketeer™ crashes and must be rebooted. | ||
To avoid such a scenario, you start writing code that can verify that brackets, braces, and parentheses are balanced before attempting to run it on the Bracketeer™. |
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# Instructions | ||
# Introduction | ||
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Write a function to convert from normal numbers to Roman Numerals. | ||
Your task is to convert a number from Arabic numerals to Roman numerals. | ||
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The Romans were a clever bunch. | ||
They conquered most of Europe and ruled it for hundreds of years. | ||
They invented concrete and straight roads and even bikinis. | ||
One thing they never discovered though was the number zero. | ||
This made writing and dating extensive histories of their exploits slightly more challenging, but the system of numbers they came up with is still in use today. | ||
For example the BBC uses Roman numerals to date their programs. | ||
For this exercise, we are only concerned about traditional Roman numerals, in which the largest number is MMMCMXCIX (or 3,999). | ||
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The Romans wrote numbers using letters - I, V, X, L, C, D, M; notice these letters have lots of straight lines and are hence easy to hack into stone tablets. | ||
~~~~exercism/note | ||
There are lots of different ways to convert between Arabic and Roman numerals. | ||
We recommend taking a naive approach first to familiarise yourself with the concept of Roman numerals and then search for more efficient methods. | ||
```text | ||
1 => I | ||
10 => X | ||
7 => VII | ||
``` | ||
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The maximum number supported by this notation is 3,999. | ||
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Wikipedia says: Modern Roman numerals [...] are written by expressing each digit separately starting with the left most digit and skipping any digit with a value of zero. | ||
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To see this in practice, consider the example of 1990. | ||
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In Roman numerals 1990 is MCMXC: | ||
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```text | ||
1000 => M | ||
900 => CM | ||
+ 90 => XC | ||
----- => ----- | ||
1990 => MCMXC | ||
``` | ||
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2008 is written as MMVIII: | ||
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```text | ||
2000 => MM | ||
+ 8 => VIII | ||
----- => ------ | ||
2008 => MMVIII | ||
``` | ||
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Learn more about [Roman numerals on Wikipedia][roman-numerals]. | ||
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[roman-numerals]: https://wiki.imperivm-romanvm.com/wiki/Roman_Numerals | ||
Make sure to check out our Deep Dive video at the end to explore the different approaches you can take! | ||
~~~~ |
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# Description | ||
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Today, most people in the world use Arabic numerals (0–9). | ||
But if you travelled back two thousand years, you'd find that most Europeans were using Roman numerals instead. | ||
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To write a Roman numeral we use the following Latin letters, each of which has a value: | ||
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| M | D | C | L | X | V | I | | ||
| ---- | --- | --- | --- | --- | --- | --- | | ||
| 1000 | 500 | 100 | 50 | 10 | 5 | 1 | | ||
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A Roman numeral is a sequence of these letters, and its value is the sum of the letters' values. | ||
For example, `XVIII` has the value 18 (`10 + 5 + 1 + 1 + 1 = 18`). | ||
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There's one rule that makes things trickier though, and that's that **the same letter cannot be used more than three times in succession**. | ||
That means that we can't express numbers such as 4 with the seemingly natural `IIII`. | ||
Instead, for those numbers, we use a subtraction method between two letters. | ||
So we think of `4` not as `1 + 1 + 1 + 1` but instead as `5 - 1`. | ||
And slightly confusingly to our modern thinking, we write the smaller number first. | ||
This applies only in the following cases: 4 (`IV`), 9 (`IX`), 40 (`XL`), 90 (`XC`), 400 (`CD`) and 900 (`CM`). | ||
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Order matters in Roman numerals! | ||
Letters (and the special compounds above) must be ordered by decreasing value from left to right. | ||
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Here are some examples: | ||
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```text | ||
105 => CV | ||
---- => -- | ||
100 => C | ||
+ 5 => V | ||
``` | ||
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```text | ||
106 => CVI | ||
---- => -- | ||
100 => C | ||
+ 5 => V | ||
+ 1 => I | ||
``` | ||
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```text | ||
104 => CIV | ||
---- => --- | ||
100 => C | ||
+ 4 => IV | ||
``` | ||
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And a final more complex example: | ||
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```text | ||
1996 => MCMXCVI | ||
----- => ------- | ||
1000 => M | ||
+ 900 => CM | ||
+ 90 => XC | ||
+ 5 => V | ||
+ 1 => I | ||
``` |
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# Instructions | ||
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Given an age in seconds, calculate how old someone would be on: | ||
Given an age in seconds, calculate how old someone would be on a planet in our Solar System. | ||
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- Mercury: orbital period 0.2408467 Earth years | ||
- Venus: orbital period 0.61519726 Earth years | ||
- Earth: orbital period 1.0 Earth years, 365.25 Earth days, or 31557600 seconds | ||
- Mars: orbital period 1.8808158 Earth years | ||
- Jupiter: orbital period 11.862615 Earth years | ||
- Saturn: orbital period 29.447498 Earth years | ||
- Uranus: orbital period 84.016846 Earth years | ||
- Neptune: orbital period 164.79132 Earth years | ||
One Earth year equals 365.25 Earth days, or 31,557,600 seconds. | ||
If you were told someone was 1,000,000,000 seconds old, their age would be 31.69 Earth-years. | ||
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So if you were told someone were 1,000,000,000 seconds old, you should | ||
be able to say that they're 31.69 Earth-years old. | ||
For the other planets, you have to account for their orbital period in Earth Years: | ||
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If you're wondering why Pluto didn't make the cut, go watch [this YouTube video][pluto-video]. | ||
| Planet | Orbital period in Earth Years | | ||
| ------- | ----------------------------- | | ||
| Mercury | 0.2408467 | | ||
| Venus | 0.61519726 | | ||
| Earth | 1.0 | | ||
| Mars | 1.8808158 | | ||
| Jupiter | 11.862615 | | ||
| Saturn | 29.447498 | | ||
| Uranus | 84.016846 | | ||
| Neptune | 164.79132 | | ||
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Note: The actual length of one complete orbit of the Earth around the sun is closer to 365.256 days (1 sidereal year). | ||
~~~~exercism/note | ||
The actual length of one complete orbit of the Earth around the sun is closer to 365.256 days (1 sidereal year). | ||
The Gregorian calendar has, on average, 365.2425 days. | ||
While not entirely accurate, 365.25 is the value used in this exercise. | ||
See [Year on Wikipedia][year] for more ways to measure a year. | ||
[pluto-video]: https://www.youtube.com/watch?v=Z_2gbGXzFbs | ||
[year]: https://en.wikipedia.org/wiki/Year#Summary | ||
~~~~ |
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