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| # Kary Series | ||
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| It's a game about mathematical sequences. In each level you will get a seqaunces like this: | ||
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| ``` | ||
| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: Q U E S T I O N :::::::::::::::::::::::::::::│ | ||
| ├─────────────┴─────────────────────────────────────────────────┤ | ||
| │ │ | ||
| │ │ | ||
| │ Level 4 = 1, 3, 7, 12, 18, 26, 35, 45, 56, 69 │ | ||
| │ │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: I N P U T :::::::::::::::::::::::::::::::::::│ | ||
| └─────────────┴─────────────────────────────────────────────────┘ | ||
| >>> | ||
| ``` | ||
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| And then you have to write a formula for it. The systems is powered by [NCalc](http://ncalc.codeplex.com/) so you have all the power there to write exactly any kind of the formula you want. | ||
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| There are two parameters you can use to write your formulas with. First one is `x` that is the index number of the sequence and `p` as the value of the previous index's value. | ||
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| In each level if you give a bad formula Series will give you some damn good feedbacks that will help you to get closer: | ||
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| ``` | ||
| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: F A I L E D :::::::::::::::::::::::::::::::::│ | ||
| ├─────────────┴─────────────────────────────────────────────────┤ | ||
| │ │ | ||
| │ Your formula is no match to our sequance. Here you can see │ | ||
| │ the first 10 index of your evaluated formula: │ | ||
| │ │ | ||
| │ # │ Test Results │ Expectations │ | ||
| │ ─────┼─────────────────────────┼───────────────────────────── │ | ||
| │ 1 │ 1 │ 1 │ | ||
| │ 2 │ 3 │ 3 │ | ||
| │ 3 │ 5 │ 7 │ | ||
| │ 4 │ 7 │ 12 │ | ||
| │ 5 │ 9 │ 18 │ | ||
| │ 6 │ 11 │ 26 │ | ||
| │ 7 │ 13 │ 35 │ | ||
| │ 8 │ 15 │ 45 │ | ||
| │ 9 │ 17 │ 56 │ | ||
| │ 10 │ 19 │ 69 │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
| ``` | ||
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| make sure you make it to see: | ||
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| ``` | ||
| ┌┬────────┬─────────────────────────────────────────────────────┐ | ||
| ││ KARY │ │ | ||
| │└────────┘ │ | ||
| │ │ | ||
| │ │ | ||
| │ __ __ __ __ _ │ | ||
| │ \ \ / / \ \ / / | | │ | ||
| │ \ \_/ /__ _ _ \ \ /\ / /__ _ __ | | │ | ||
| │ \ / _ \| | | | \ \/ \/ / _ \| '_ \| | │ | ||
| │ | | (_) | |_| | \ /\ / (_) | | | |_| │ | ||
| │ |_|\___/ \__,_| \/ \/ \___/|_| |_(_) │ | ||
| │ │ | ||
| │ Congratulations! You proved to be a great mater │ | ||
| │ in understanding sequences! Well done, Truly! │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
| ``` | ||
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| ## Thanks | ||
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| Thanks to Helftone for [MonoDraw](http://monodraw.helftone.com/) that I used to design the whole interface with and guys at [NCalc](ncalc.codeplex.com) because of what powers Series. | ||
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| ## License | ||
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| ``` | ||
| Kary Series - A game of mathematical sequences | ||
| Copyright (c) 2015 Pouya Kary <k@arendelle.org> | ||
| This program is free software: you can redistribute it and/or modify | ||
| it under the terms of the GNU General Public License as published by | ||
| the Free Software Foundation, either version 3 of the License, or | ||
| (at your option) any later version. | ||
| This program is distributed in the hope that it will be useful, | ||
| but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
| GNU General Public License for more details. | ||
| You should have received a copy of the GNU General Public License | ||
| along with this program. If not, see <http://www.gnu.org/licenses/>. | ||
| ``` |
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| ┌┬────────┬─────────────────────────────────────────────────────┐ | ||
| ││ KARY │ │ | ||
| │└────────┘ │ | ||
| │ ___ ___ ___ ___ ___ ___ │ | ||
| │ /\ \ /\ \ /\ \ /\ \ /\ \ /\ \ │ | ||
| │ /::\ \ /::\ \ /::\ \ _\:\ \ /::\ \ /::\ \ │ | ||
| │ /\:\:\__\ /::\:\__\ /::\:\__\ /\/::\__\ /::\:\__\ /\:\:\__\ │ | ||
| │ \:\:\/__/ \:\:\/ / \;:::/ / \::/\/__/ \:\:\/ / \:\:\/__/ │ | ||
| │ \::/ / \:\/ / |:\/__/ \:\__\ \:\/ / \::/ / │ | ||
| │ \/__/ \/__/ \|__| \/__/ \/__/ \/__/ │ | ||
| │ │ | ||
| ├───────────────────────────────────────────────────────────────┤ | ||
| │::::::::::::::::: SEE HOW GOOD YOUR'E IN MATH :::::::::::::::│ | ||
| ├───────────────────────────────────────────────────────────────┤ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
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| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: Q U E S T I O N :::::::::::::::::::::::::::::│ | ||
| ├─────────────┴─────────────────────────────────────────────────┤ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
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| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: I N P U T :::::::::::::::::::::::::::::::::::│ | ||
| └─────────────┴─────────────────────────────────────────────────┘ | ||
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| ┌───────────────────────────────────────────────────────────────┐ | ||
| │ PRESS ANY KEY TO CONTINIUE │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
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| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: F A I L E D :::::::::::::::::::::::::::::::::│ | ||
| ├─────────────┴─────────────────────────────────────────────────┤ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
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| ┌───────────────────────────────────────────────────────────────┐ | ||
| │ WELL DONE! TRULY! LET'S GO TO THE NEXT LEVEL... │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
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| ┌┬────────┬─────────────────────────────────────────────────────┐ | ||
| ││ KARY │ │ | ||
| │└────────┘ │ | ||
| │ │ | ||
| │ │ | ||
| │ __ __ __ __ _ │ | ||
| │ \ \ / / \ \ / / | | │ | ||
| │ \ \_/ /__ _ _ \ \ /\ / /__ _ __ | | │ | ||
| │ \ / _ \| | | | \ \/ \/ / _ \| '_ \| | │ | ||
| │ | | (_) | |_| | \ /\ / (_) | | | |_| │ | ||
| │ |_|\___/ \__,_| \/ \/ \___/|_| |_(_) │ | ||
| │ │ | ||
| │ Congratulations! You proved to be a great mater │ | ||
| │ in understanding sequences! Well done, Truly! │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
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| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: I N T R O :::::::::::::::::::::::::::::::::::│ | ||
| ├─────────────┴─────────────────────────────────────────────────┤ | ||
| │ │ | ||
| │ Welcome to Kary Series. It's about fining the general formula │ | ||
| │ of sequences. In each level you will get 10 first index of a │ | ||
| │ sequence and you have to find a formula for it. For example: │ | ||
| │ │ | ||
| │ [ 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 ] │ | ||
| │ │ | ||
| │ And then you will see a prompt like >>> which you have to │ | ||
| │ your formula there. You have to use parameter `x` as your │ | ||
| │ index number so the formula will be something like this: │ | ||
| │ │ | ||
| │ >>> x * 2 - 1 │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ | ||
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| ┌─────────────┬─────────────────────────────────────────────────┐ | ||
| │ KARY SERIES │::: I N T R O :::::::::::::::::::::::::::::::::::│ | ||
| ├─────────────┴─────────────────────────────────────────────────┤ | ||
| │ │ | ||
| │ You can get the previous index's value by using parameter │ | ||
| │ `p` for example look at this sequence: │ | ||
| │ │ | ||
| │ [ 1, 3, 6, 10, 15, 21, 28, 36, 45, 55 ] │ | ||
| │ │ | ||
| │ Each index is the sum of it's previous index and it's │ | ||
| │ current index number so the formula will be: │ | ||
| │ │ | ||
| │ >>> p + x │ | ||
| │ │ | ||
| │ NOTE: for the very first index `p` returns zero. │ | ||
| │ │ | ||
| └───────────────────────────────────────────────────────────────┘ |
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