## Friday, January 21, 2011

### functional programming to find sequential group

It is Friday night and maybe some blog can help me relax a little bit.

If I got a input sequence like { 1, 2, 3, 6, 7, 8, 11, 12, 13, 145 },  how can you group them into some group where each group only contain continuous numbers.

Please do not use for-loop, try to think the input like a single unit, a output from a function. Here is the solution:

```
var groups = input.Zip(Enumerable.Range(1, input.Length), (i, n) => new { i, GroupNumber=n-i }).GroupBy(m => m.GroupNumber, m => m.i);```
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`how does think work? `
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`It use another continuous output as mirror to help group the input.`
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`I found the way to write a good LINQ query or thinking in functional way is to compare the input and output and trying to find the different. You always think the input as a whole entity. After applying some functions, can easily prove the whole program is correct or not. that's the beauty of functional. I do not know a way to make a FOR loop into a nice math formula, maybe that's why I am always afraid of FOR loop.`
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`The above sample give me a new way to design functional program by introducing another sequence or entity. I love functional!`
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