How do I define that value crosses 0 in C#? - c#

There is list of int variable
data = List<int>
It contains few ints above the 0, few int's under 0 and so on. Data looks like:
-2962
-5787
-1671
-5667
-498
-4463
1399
3608
2173
I need to find the first item, when this function crosses the 0 from + to - (or from - to +) to get only first items above 0 or first items under 0 (depends on the sign of first item if it + or -).
So my code is:
var itemSign = 0;
foreach (var item in data)
{
if (itemSign == Sign(item))
{
result.Add(item);
Console.WriteLine(item);
}
itemSign = Sign(item);
}
But output is:
-2962
-5787
-1671
-5667
-498
-4463
1399
3608
2173
It seems like it doesn't work at all because I need to get these ints in these case:
-2962
-5787
-1671
-5667
-498
-4463
How do I define that value crosses 0 in C#?

You can use break as soon as sign change appears :
var itemSign = Sign(data.FirstOrDefault());
var result = new List<int>();
foreach (var item in data)
{
if (itemSign == Sign(item))
{
result.Add(item);
Console.WriteLine(item);
}
else
break;
}

There are two versions I can think of. Both use the List<int>.FindIndex() method.
class Program
{
static void Main(string[] args)
{
var list = new List<int>() {
-2962 ,
-5787 ,
-1671 ,
-5667 ,
-498 ,
-4463 ,
1399 ,
3608 ,
2173 ,
};
int index = list.FindIndex((x) => x>0)-1;
// index = 5
index=list.Zip(list.Skip(1), (x, y) => Math.Sign(x*y)).ToList().FindIndex((s) => s==-1);
// index = 5
}
}
The first one returns the index of the first non-negative number.
The second one multiplies consecutive numbers and if their product has a negative sign it means the numbers just changed sign.

Usint System.Linq (just for fun)
var input = new List<int> { -2962, -5787, -1671, -5667, -498, -4463, 1399, 3608, 2173 };
var cross = input
.Zip(input.Skip(1), (a, b) => new []{a,b})
.TakeWhile(t => (t.First() ^ t.Last()) >> 31 == 0)
.SelectMany(_ => _)
.Distinct();
Console.WriteLine(string.Join(",", cross)); //-2962,-5787,-1671,-5667,-498,-4463
If you want just the last element in the row, or first, then Aggregate could work:
var cross = input.Aggregate((a,b) => (a ^ b) >> 31 == 0 ? a : b); //1399
var cross = input.Aggregate((a,b) => (a ^ b) >> 31 == 0 ? b : a); //-4463

for each element in list, if >0 add to positive list, if <0 add to negative list. this is simple if else stuff....

Related

Searching for all combinations of numbers from a set of numbers which equal a target, code misses some but not all

I used this question Find out which combinations of numbers in a set add up to a given total which uses a C# example to attempt to find all the possible combinations of numbers which add up to a given number.
I used the code as provided and have attempted to understand it and I think I do, however, I can't figure out why this error is occurring.
Here is the setup:
public class Program
{
public static void Main(string[] args)
{
// subtotal list
List<double> totals = new List<double>(new double[] { 17.5, 14.3, 10.9, 7.8, 6.3, 3.8, 3.2, 2.7, 1.8, 1.0 });
List<double> totals2 = new List<double>(new double[] { 17.5, 14.3, 7.8, 6.3, 3.2, 1.8});
// get matches
List<double[]> results = Knapsack.MatchTotal(50.9, totals2);
// print results`
foreach (var result in results)
{
Console.WriteLine(string.Join(",", result));
}
Console.WriteLine("Done.");
Console.ReadKey();
}
}
and the main bulk of the code is unchanged from the example.
public class Knapsack
{
internal static List<double[]> MatchTotal(double theTotal, List<double> subTotals)
{
List<double[]> results = new List<double[]>();
while (subTotals.Contains(theTotal))
{
results.Add(new double[1] { theTotal });
subTotals.Remove(theTotal);
}
// if no subtotals were passed
// or all matched the Total
// return
if (subTotals.Count == 0)
return results;
subTotals.Sort();
double mostNegativeNumber = subTotals[0];
if (mostNegativeNumber > 0)
mostNegativeNumber = 0;
// if there aren't any negative values
// we can remove any values bigger than the total
if (mostNegativeNumber == 0)
subTotals.RemoveAll(d => d > theTotal);
// if there aren't any negative values
// and sum is less than the total no need to look further
if (mostNegativeNumber == 0 && subTotals.Sum() < theTotal)
return results;
// get the combinations for the remaining subTotals
// skip 1 since we already removed subTotals that match
for (int choose = 2; choose <= subTotals.Count; choose++)
{
// get combinations for each length
IEnumerable<IEnumerable<double>> combos = Combination.Combinations(subTotals.AsEnumerable(), choose);
// add combinations where the sum mathces the total to the result list
results.AddRange(from combo in combos
where combo.Sum() == theTotal
select combo.ToArray());
}
return results;
}
}
public static class Combination
{
public static IEnumerable<IEnumerable<T>> Combinations<T>(this IEnumerable<T> elements, int choose)
{
return choose == 0 ? // if choose = 0
new[] { new T[0] } : // return empty Type array
elements.SelectMany((element, i) => // else recursively iterate over array to create combinations
elements.Skip(i + 1).Combinations(choose - 1).Select(combo => (new[] { element }).Concat(combo)));
}
}
I have provided the set of numbers which is in totals which are used to try and calculate the total.
I entered 50.9 as the total and return no results.
The second set of numbers totals2 is a set of numbers which add up to 50.9 and they are a subset of totals. This also fails to return a result for 50.9
For some reason the code is unable to find 50.9 in the master set or in the subset (which itself sums to 50.9).
I can't figure out why it does this, can anyone tell me?

Conditionally sum values in a list of tuples

Hello what I'm trying to do is hopefully simple, I have a List<tuple>(string, decimal) and I'm trying to grab the sum of the decimal values if there are two similar strings.
My list contains the values:
("q", .5)
("w", 1.5)
("e", .7)
("r", .8)
("q", .5)
The sum of all the values would therefore be .5 + 1.5 + .7 + .8 + .5 = 4.0.
I assume the algorithm would be something like this:
newlist.select(item1 , item2).where(get the sum of first "q" up to the next "q" in list)
As for existing code, I don't have much only the declaration of the list and it's values.
**I want the sum between 'q' and 'q' + the values of 'q' and 'q', not just in-between, the answer should be '4' and not 3, I want everything between q and q including q's values, thank you.
You could use simple Linq extensions, SkipWhile and TakeWhile
List<Tuple<string,double>> items = new List<Tuple<string,double>>()
{
new Tuple<string,double>("q", .5),
new Tuple<string,double>("w", 1.5),
new Tuple<string,double>("e", .7),
new Tuple<string,double>("r", .8),
new Tuple<string,double>("q", .5)
};
var sumvalue = items.Sum(c=>c.Item2); // Calculates sum of all values
var betweensum = items.SkipWhile(x=>x.Item1 == "q") // Skip until matching item1
.TakeWhile(x=>x.Item1 != "q") // take until matching item1
.Sum(x=>x.Item2); // Sum
As asked in the comments, in case if you have multiple such sets and you want count in between those matching strings for multiple sets, do this.
int gid = 0;
items.Select(c => new { Tuple = c, gid = c.Item1=="q"? ++gid : gid })
.GroupBy(x=>x.gid)
.Where(x=>x.Key%2==1)
.SelectMany(x=>x.Skip(1))
.Sum(x=>x.Tuple.Item2);
Working Demo
You can add a new IEnumerable extension to get all values between two conditions. Note that if there is no second occurrence of the condition an empty list is returned, this can be edited based on your requirements:
public static class Extensions
{
public static IEnumerable<T> TakeBetween<T>(this IEnumerable<T> e, Func<T, bool> f)
{
bool first = false;
List<T> ret = new List<T>();
foreach (var item in e)
{
if(f(item) && !first)
{
first = true;
ret.Add(item);
continue;
}
if(first)
{
ret.Add(item);
if(f(item))
return ret;
}
}
return new List<T>();
}
}
Then it is just a matter of using this to get the sum:
var sum = list.TakeBetween(x => x.Item1 == "q").Sum(x => x.Item2);

C# array for finding all the 2's

Basically what I have to do is find a certain number, which in this case is 2, and see how many times I have that number in my program, I assumed that I would have to use a .GetValue(42) but it's not doing it right, the code I am using is
static int count2(int[] input)
{
return input.GetValue(2);
}
input is from a separate method, but it contains the values that I'm working with which is
int [] input = {1,2,3,4,5};
Not sure if you count specifically the number 2, or any number that contains the number 2.
For the later here's the easy way:
public int count2(int[] input) {
int counter = 0;
foreach(var i in input) {
if (i.ToString().Contains("2"))
{
++counter;
}
}
return counter;
}
You can do it with LINQ
input.Count(x=>x==2);
Array.GetValue() "gets the value at the specified position in the one-dimensional Array" which is not what you want. (in your example it will return 3 because that's the value at index 2 of your array).
You want to count the number of times a specific item is in the array. That's a matter of looping and checking each item:
var counter = 0;
foreach(var item in input)
{
if(item == 2)
{
counter++;
}
}
return counter;
to get a count do this
int [] inputDupes = {1,2,3,4,5,2};
var duplicates = inputDupes
.Select(w => inputDupes.Contains(2))
.GroupBy(q => q)
.Where(gb => gb.Count() > 1)
.Select(gb => gb.Key).Count();//returns an Int32 value
to see if there are duplicates of the number 2 then do the following
int [] inputDupes = {1,2,3,4,5,2};
var duplicates = inputDupes
.Select(w => inputDupes.Contains(2))
.GroupBy(q => q)
.Where(gb => gb.Count() > 1)
.Select(gb => gb.Key)
.ToList(); //returns true | false
if you want to do this based on any number then create a method and pass a param in where .Contains() extension method is being called
if you want to capture user input from Console you can do it this way as well
int [] inputDupes = {1,2,3,4,5,2};
Console.WriteLine("Enter a number to check for duplicates: ");
string input = Console.ReadLine();
int number;
Int32.TryParse(input, out number);
var dupeCount = inputDupes.Count(x => x == number);
Console.WriteLine(dupeCount);
Console.Read();
Yields 2 for the duplicate Count
static int count2(int[] input)
{
return input.Count(i => i == 2);
}
You could use a Func like this:
public Func<int[], int, int> GetNumberCount =
(numbers, numberToSearchFor) =>
numbers.Count(num => num.Equals(numberToSearchFor));
...
var count = GetNumberCount(input, 2);
Gotta' love a Func :)

Does Linq provide a way to easily spot gaps in a sequence?

I am managing a directory of files. Each file will be named similarly to Image_000000.png, with the numeric portion being incremented for each file that is stored.
Files can also be deleted, leaving gaps in the number sequence. The reason I am asking is because I recognize that at some point in the future, the user could use up the number sequence unless I takes steps to reuse numbers when they become available. I realize that it is a million, and that's a lot, but we have 20-plus year users, so "someday" is not out of the question.
So, I am specifically asking whether or not there exists a way to easily determine the gaps in the sequence without simply looping. I realize that because it's a fixed range, I could simply loop over the expected range.
And I will unless there is a better/cleaner/easier/faster alternative. If so, I'd like to know about it.
This method is called to obtain the next available file name:
public static String GetNextImageFileName()
{
String retFile = null;
DirectoryInfo di = new DirectoryInfo(userVars.ImageDirectory);
FileInfo[] fia = di.GetFiles("*.*", SearchOption.TopDirectoryOnly);
String lastFile = fia.Where(i => i.Name.StartsWith("Image_") && i.Name.Substring(6, 6).ContainsOnlyDigits()).OrderBy(i => i.Name).Last().Name;
if (!String.IsNullOrEmpty(lastFile))
{
Int32 num;
String strNum = lastFile.Substring(6, 6);
String strExt = lastFile.Substring(13);
if (!String.IsNullOrEmpty(strNum) &&
!String.IsNullOrEmpty(strExt) &&
strNum.ContainsOnlyDigits() &&
Int32.TryParse(strNum, out num))
{
num++;
retFile = String.Format("Image_{0:D6}.{1}", num, strExt);
while (num <= 999999 && File.Exists(retFile))
{
num++;
retFile = String.Format("Image_{0:D6}.{1}", num, strExt);
}
}
}
return retFile;
}
EDIT: in case it helps anyone, here is the final method, incorporating Daniel Hilgarth's answer:
public static String GetNextImageFileName()
{
DirectoryInfo di = new DirectoryInfo(userVars.ImageDirectory);
FileInfo[] fia = di.GetFiles("Image_*.*", SearchOption.TopDirectoryOnly);
List<Int32> fileNums = new List<Int32>();
foreach (FileInfo fi in fia)
{
Int32 i;
if (Int32.TryParse(fi.Name.Substring(6, 6), out i))
fileNums.Add(i);
}
var result = fileNums.Select((x, i) => new { Index = i, Value = x })
.Where(x => x.Index != x.Value)
.Select(x => (Int32?)x.Index)
.FirstOrDefault();
Int32 index;
if (result == null)
index = fileNums.Count - 1;
else
index = result.Value - 1;
var nextNumber = fileNums[index] + 1;
if (nextNumber >= 0 && nextNumber <= 999999)
return String.Format("Image_{0:D6}", result.Value);
return null;
}
A very simple approach to find the first number of the first gap would be the following:
int[] existingNumbers = /* extract all numbers from all filenames and order them */
var allNumbers = Enumerable.Range(0, 1000000);
var result = allNumbers.Where(x => !existingNumbers.Contains(x)).First();
This will return 1,000,000 if all numbers have been used and no gaps exist.
This approach has the drawback that it performs rather badly, as it iterates existingNumbers multiple times.
A somewhat better approach would be to use Zip:
allNumbers.Zip(existingNumbers, (a, e) => new { Number = a, ExistingNumber = e })
.Where(x => x.Number != x.ExistingNumber)
.Select(x => x.Number)
.First();
An improved version of DuckMaestro's answer that actually returns the first value of the first gap - and not the first value after the first gap - would look like this:
var tmp = existingNumbers.Select((x, i) => new { Index = i, Value = x })
.Where(x => x.Index != x.Value)
.Select(x => (int?)x.Index)
.FirstOrDefault();
int index;
if(tmp == null)
index = existingNumbers.Length - 1;
else
index = tmp.Value - 1;
var nextNumber = existingNumbers[index] + 1;
Improving over the other answer, use the alternate version of Where.
int[] existingNumbers = ...
var result = existingNumbers.Where( (x,i) => x != i ).FirstOrDefault();
The value i is a counter starting at 0.
This version of where is supported in .NET 3.5 (http://msdn.microsoft.com/en-us/library/bb549418(v=vs.90).aspx).
var firstnonexistingfile = Enumerable.Range(0,999999).Select(x => String.Format("Image_{0:D6}.{1}", x, strExt)).FirstOrDefault(x => !File.Exists(x));
This will iterate from 0 to 999999, then output the result of the String.Format() as an IEnumerable<string> and then find the first string out of that sequence that returns false for File.Exists().
It's an old question, but it has been suggested (in the comments) that you could use .Except() instead. I tend to like this solution a little better since it will give you the first missing number (the gap) or the next smallest number in the sequence. Here's an example:
var allNumbers = Enumerable.Range(0, 999999); //999999 is arbitrary. You could use int.MaxValue, but it would degrade performance
var existingNumbers = new int[] { 0, 1, 2, 4, 5, 6 };
int result;
var missingNumbers = allNumbers.Except(existingNumbers);
if (missingNumbers.Any())
result = missingNumbers.First();
else //no missing numbers -- you've reached the max
result = -1;
Running the above code would set result to:
3
Additionally, if you changed existingNumbers to:
var existingNumbers = new int[] { 0, 1, 3, 2, 4, 5, 6 };
So there isn't a gap, you would get 7 back.
Anyway, that's why I prefer Except over the Zip solution -- just my two cents.
Thanks!

Detecting sequence of at least 3 sequential numbers from a given list

I have a list of numbers e.g. 21,4,7,9,12,22,17,8,2,20,23
I want to be able to pick out sequences of sequential numbers (minimum 3 items in length), so from the example above it would be 7,8,9 and 20,21,22,23.
I have played around with a few ugly sprawling functions but I am wondering if there is a neat LINQ-ish way to do it.
Any suggestions?
UPDATE:
Many thanks for all the responses, much appriciated. Im am currently having a play with them all to see which would best integrate into our project.
It strikes me that the first thing you should do is order the list. Then it's just a matter of walking through it, remembering the length of your current sequence and detecting when it's ended. To be honest, I suspect that a simple foreach loop is going to be the simplest way of doing that - I can't immediately think of any wonderfully neat LINQ-like ways of doing it. You could certainly do it in an iterator block if you really wanted to, but bear in mind that ordering the list to start with means you've got a reasonably "up-front" cost anyway. So my solution would look something like this:
var ordered = list.OrderBy(x => x);
int count = 0;
int firstItem = 0; // Irrelevant to start with
foreach (int x in ordered)
{
// First value in the ordered list: start of a sequence
if (count == 0)
{
firstItem = x;
count = 1;
}
// Skip duplicate values
else if (x == firstItem + count - 1)
{
// No need to do anything
}
// New value contributes to sequence
else if (x == firstItem + count)
{
count++;
}
// End of one sequence, start of another
else
{
if (count >= 3)
{
Console.WriteLine("Found sequence of length {0} starting at {1}",
count, firstItem);
}
count = 1;
firstItem = x;
}
}
if (count >= 3)
{
Console.WriteLine("Found sequence of length {0} starting at {1}",
count, firstItem);
}
EDIT: Okay, I've just thought of a rather more LINQ-ish way of doing things. I don't have the time to fully implement it now, but:
Order the sequence
Use something like SelectWithPrevious (probably better named SelectConsecutive) to get consecutive pairs of elements
Use the overload of Select which includes the index to get tuples of (index, current, previous)
Filter out any items where (current = previous + 1) to get anywhere that counts as the start of a sequence (special-case index=0)
Use SelectWithPrevious on the result to get the length of the sequence between two starting points (subtract one index from the previous)
Filter out any sequence with length less than 3
I suspect you need to concat int.MinValue on the ordered sequence, to guarantee the final item is used properly.
EDIT: Okay, I've implemented this. It's about the LINQiest way I can think of to do this... I used null values as "sentinel" values to force start and end sequences - see comments for more details.
Overall, I wouldn't recommend this solution. It's hard to get your head round, and although I'm reasonably confident it's correct, it took me a while thinking of possible off-by-one errors etc. It's an interesting voyage into what you can do with LINQ... and also what you probably shouldn't.
Oh, and note that I've pushed the "minimum length of 3" part up to the caller - when you have a sequence of tuples like this, it's cleaner to filter it out separately, IMO.
using System;
using System.Collections.Generic;
using System.Linq;
static class Extensions
{
public static IEnumerable<TResult> SelectConsecutive<TSource, TResult>
(this IEnumerable<TSource> source,
Func<TSource, TSource, TResult> selector)
{
using (IEnumerator<TSource> iterator = source.GetEnumerator())
{
if (!iterator.MoveNext())
{
yield break;
}
TSource prev = iterator.Current;
while (iterator.MoveNext())
{
TSource current = iterator.Current;
yield return selector(prev, current);
prev = current;
}
}
}
}
class Test
{
static void Main()
{
var list = new List<int> { 21,4,7,9,12,22,17,8,2,20,23 };
foreach (var sequence in FindSequences(list).Where(x => x.Item1 >= 3))
{
Console.WriteLine("Found sequence of length {0} starting at {1}",
sequence.Item1, sequence.Item2);
}
}
private static readonly int?[] End = { null };
// Each tuple in the returned sequence is (length, first element)
public static IEnumerable<Tuple<int, int>> FindSequences
(IEnumerable<int> input)
{
// Use null values at the start and end of the ordered sequence
// so that the first pair always starts a new sequence starting
// with the lowest actual element, and the final pair always
// starts a new one starting with null. That "sequence at the end"
// is used to compute the length of the *real* final element.
return End.Concat(input.OrderBy(x => x)
.Select(x => (int?) x))
.Concat(End)
// Work out consecutive pairs of items
.SelectConsecutive((x, y) => Tuple.Create(x, y))
// Remove duplicates
.Where(z => z.Item1 != z.Item2)
// Keep the index so we can tell sequence length
.Select((z, index) => new { z, index })
// Find sequence starting points
.Where(both => both.z.Item2 != both.z.Item1 + 1)
.SelectConsecutive((start1, start2) =>
Tuple.Create(start2.index - start1.index,
start1.z.Item2.Value));
}
}
Jon Skeet's / Timwi's solutions are the way to go.
For fun, here's a LINQ query that does the job (very inefficiently):
var sequences = input.Distinct()
.GroupBy(num => Enumerable.Range(num, int.MaxValue - num + 1)
.TakeWhile(input.Contains)
.Last()) //use the last member of the consecutive sequence as the key
.Where(seq => seq.Count() >= 3)
.Select(seq => seq.OrderBy(num => num)); // not necessary unless ordering is desirable inside each sequence.
The query's performance can be improved slightly by loading the input into a HashSet (to improve Contains), but that will still not produce a solution that is anywhere close to efficient.
The only bug I am aware of is the possibility of an arithmetic overflow if the sequence contains negative numbers of large magnitude (we cannot represent the count parameter for Range). This would be easy to fix with a custom static IEnumerable<int> To(this int start, int end) extension-method. If anyone can think of any other simple technique of dodging the overflow, please let me know.
EDIT:
Here's a slightly more verbose (but equally inefficient) variant without the overflow issue.
var sequences = input.GroupBy(num => input.Where(candidate => candidate >= num)
.OrderBy(candidate => candidate)
.TakeWhile((candidate, index) => candidate == num + index)
.Last())
.Where(seq => seq.Count() >= 3)
.Select(seq => seq.OrderBy(num => num));
I think my solution is more elegant and simple, and therefore easier to verify as correct:
/// <summary>Returns a collection containing all consecutive sequences of
/// integers in the input collection.</summary>
/// <param name="input">The collection of integers in which to find
/// consecutive sequences.</param>
/// <param name="minLength">Minimum length that a sequence should have
/// to be returned.</param>
static IEnumerable<IEnumerable<int>> ConsecutiveSequences(
IEnumerable<int> input, int minLength = 1)
{
var results = new List<List<int>>();
foreach (var i in input.OrderBy(x => x))
{
var existing = results.FirstOrDefault(lst => lst.Last() + 1 == i);
if (existing == null)
results.Add(new List<int> { i });
else
existing.Add(i);
}
return minLength <= 1 ? results :
results.Where(lst => lst.Count >= minLength);
}
Benefits over the other solutions:
It can find sequences that overlap.
It’s properly reusable and documented.
I have not found any bugs ;-)
Here is how to solve the problem in a "LINQish" way:
int[] arr = new int[]{ 21, 4, 7, 9, 12, 22, 17, 8, 2, 20, 23 };
IOrderedEnumerable<int> sorted = arr.OrderBy(x => x);
int cnt = sorted.Count();
int[] sortedArr = sorted.ToArray();
IEnumerable<int> selected = sortedArr.Where((x, idx) =>
idx <= cnt - 3 && sortedArr[idx + 1] == x + 1 && sortedArr[idx + 2] == x + 2);
IEnumerable<int> result = selected.SelectMany(x => new int[] { x, x + 1, x + 2 }).Distinct();
Console.WriteLine(string.Join(",", result.Select(x=>x.ToString()).ToArray()));
Due to the array copying and reconstruction, this solution - of course - is not as efficient as the traditional solution with loops.
Not 100% Linq but here's a generic variant:
static IEnumerable<IEnumerable<TItem>> GetSequences<TItem>(
int minSequenceLength,
Func<TItem, TItem, bool> areSequential,
IEnumerable<TItem> items)
where TItem : IComparable<TItem>
{
items = items
.OrderBy(n => n)
.Distinct().ToArray();
var lastSelected = default(TItem);
var sequences =
from startItem in items
where startItem.Equals(items.First())
|| startItem.CompareTo(lastSelected) > 0
let sequence =
from item in items
where item.Equals(startItem) || areSequential(lastSelected, item)
select (lastSelected = item)
where sequence.Count() >= minSequenceLength
select sequence;
return sequences;
}
static void UsageInt()
{
var sequences = GetSequences(
3,
(a, b) => a + 1 == b,
new[] { 21, 4, 7, 9, 12, 22, 17, 8, 2, 20, 23 });
foreach (var sequence in sequences)
Console.WriteLine(string.Join(", ", sequence.ToArray()));
}
static void UsageChar()
{
var list = new List<char>(
"abcdefghijklmnopqrstuvwxyz".ToCharArray());
var sequences = GetSequences(
3,
(a, b) => (list.IndexOf(a) + 1 == list.IndexOf(b)),
"PleaseBeGentleWithMe".ToLower().ToCharArray());
foreach (var sequence in sequences)
Console.WriteLine(string.Join(", ", sequence.ToArray()));
}
Here's my shot at it:
public static class SequenceDetector
{
public static IEnumerable<IEnumerable<T>> DetectSequenceWhere<T>(this IEnumerable<T> sequence, Func<T, T, bool> inSequenceSelector)
{
List<T> subsequence = null;
// We can only have a sequence with 2 or more items
T last = sequence.FirstOrDefault();
foreach (var item in sequence.Skip(1))
{
if (inSequenceSelector(last, item))
{
// These form part of a sequence
if (subsequence == null)
{
subsequence = new List<T>();
subsequence.Add(last);
}
subsequence.Add(item);
}
else if (subsequence != null)
{
// We have a previous seq to return
yield return subsequence;
subsequence = null;
}
last = item;
}
if (subsequence != null)
{
// Return any trailing seq
yield return subsequence;
}
}
}
public class test
{
public static void run()
{
var list = new List<int> { 21, 4, 7, 9, 12, 22, 17, 8, 2, 20, 23 };
foreach (var subsequence in list
.OrderBy(i => i)
.Distinct()
.DetectSequenceWhere((first, second) => first + 1 == second)
.Where(seq => seq.Count() >= 3))
{
Console.WriteLine("Found subsequence {0}",
string.Join(", ", subsequence.Select(i => i.ToString()).ToArray()));
}
}
}
This returns the specific items that form the sub-sequences and permits any type of item and any definition of criteria so long as it can be determined by comparing adjacent items.
What about sorting the array then create another array that is the difference between each element the previous one
sortedArray = 8, 9, 10, 21, 22, 23, 24, 27, 30, 31, 32
diffArray = 1, 1, 11, 1, 1, 1, 3, 3, 1, 1
Now iterate through the difference array; if the difference equlas 1, increase the count of a variable, sequenceLength, by 1. If the difference is > 1, check the sequenceLength if it is >=2 then you have a sequence of at at least 3 consecutive elements. Then reset sequenceLenght to 0 and continue your loop on the difference array.
Here is a solution I knocked up in F#, it should be fairly easy to translate this into a C# LINQ query since fold is pretty much equivalent to the LINQ aggregate operator.
#light
let nums = [21;4;7;9;12;22;17;8;2;20;23]
let scanFunc (mainSeqLength, mainCounter, lastNum:int, subSequenceCounter:int, subSequence:'a list, foundSequences:'a list list) (num:'a) =
(mainSeqLength, mainCounter + 1,
num,
(if num <> lastNum + 1 then 1 else subSequenceCounter+1),
(if num <> lastNum + 1 then [num] else subSequence#[num]),
if subSequenceCounter >= 3 then
if mainSeqLength = mainCounter+1
then foundSequences # [subSequence#[num]]
elif num <> lastNum + 1
then foundSequences # [subSequence]
else foundSequences
else foundSequences)
let subSequences = nums |> Seq.sort |> Seq.fold scanFunc (nums |> Seq.length, 0, 0, 0, [], []) |> fun (_,_,_,_,_,results) -> results
Linq isn't the solution for everything, sometimes you're better of with a simple loop. Here's a solution, with just a bit of Linq to order the original sequences and filter the results
void Main()
{
var numbers = new[] { 21,4,7,9,12,22,17,8,2,20,23 };
var sequences =
GetSequences(numbers, (prev, curr) => curr == prev + 1);
.Where(s => s.Count() >= 3);
sequences.Dump();
}
public static IEnumerable<IEnumerable<T>> GetSequences<T>(
IEnumerable<T> source,
Func<T, T, bool> areConsecutive)
{
bool first = true;
T prev = default(T);
List<T> seq = new List<T>();
foreach (var i in source.OrderBy(i => i))
{
if (!first && !areConsecutive(prev, i))
{
yield return seq.ToArray();
seq.Clear();
}
first = false;
seq.Add(i);
prev = i;
}
if (seq.Any())
yield return seq.ToArray();
}
I thought of the same thing as Jon: to represent a range of consecutive integers all you really need are two measly integers! So I'd start there:
struct Range : IEnumerable<int>
{
readonly int _start;
readonly int _count;
public Range(int start, int count)
{
_start = start;
_count = count;
}
public int Start
{
get { return _start; }
}
public int Count
{
get { return _count; }
}
public int End
{
get { return _start + _count - 1; }
}
public IEnumerator<int> GetEnumerator()
{
for (int i = 0; i < _count; ++i)
{
yield return _start + i;
}
}
// Heck, why not?
public static Range operator +(Range x, int y)
{
return new Range(x.Start, x.Count + y);
}
// skipping the explicit IEnumerable.GetEnumerator implementation
}
From there, you can write a static method to return a bunch of these Range values corresponding to the consecutive numbers of your sequence.
static IEnumerable<Range> FindRanges(IEnumerable<int> source, int minCount)
{
// throw exceptions on invalid arguments, maybe...
var ordered = source.OrderBy(x => x);
Range r = default(Range);
foreach (int value in ordered)
{
// In "real" code I would've overridden the Equals method
// and overloaded the == operator to write something like
// if (r == Range.Empty) here... but this works well enough
// for now, since the only time r.Count will be 0 is on the
// first item.
if (r.Count == 0)
{
r = new Range(value, 1);
continue;
}
if (value == r.End)
{
// skip duplicates
continue;
}
else if (value == r.End + 1)
{
// "append" consecutive values to the range
r += 1;
}
else
{
// return what we've got so far
if (r.Count >= minCount)
{
yield return r;
}
// start over
r = new Range(value, 1);
}
}
// return whatever we ended up with
if (r.Count >= minCount)
{
yield return r;
}
}
Demo:
int[] numbers = new[] { 21, 4, 7, 9, 12, 22, 17, 8, 2, 20, 23 };
foreach (Range r in FindConsecutiveRanges(numbers, 3))
{
// Using .NET 3.5 here, don't have the much nicer string.Join overloads.
Console.WriteLine(string.Join(", ", r.Select(x => x.ToString()).ToArray()));
}
Output:
7, 8, 9
20, 21, 22, 23
Here's my LINQ-y take on the problem:
static IEnumerable<IEnumerable<int>>
ConsecutiveSequences(this IEnumerable<int> input, int minLength = 3)
{
int order = 0;
var inorder = new SortedSet<int>(input);
return from item in new[] { new { order = 0, val = inorder.First() } }
.Concat(
inorder.Zip(inorder.Skip(1), (x, val) =>
new { order = x + 1 == val ? order : ++order, val }))
group item.val by item.order into list
where list.Count() >= minLength
select list;
}
uses no explicit loops, but should still be O(n lg n)
uses SortedSet instead of .OrderBy().Distinct()
combines consecutive element with list.Zip(list.Skip(1))
Here's a solution using a Dictionary instead of a sort...
It adds the items to a Dictionary, and then for each value increments above and below to find the longest sequence.
It is not strictly LINQ, though it does make use of some LINQ functions, and I think it is more readable than a pure LINQ solution..
static void Main(string[] args)
{
var items = new[] { -1, 0, 1, 21, -2, 4, 7, 9, 12, 22, 17, 8, 2, 20, 23 };
IEnumerable<IEnumerable<int>> sequences = FindSequences(items, 3);
foreach (var sequence in sequences)
{ //print results to consol
Console.Out.WriteLine(sequence.Select(num => num.ToString()).Aggregate((a, b) => a + "," + b));
}
Console.ReadLine();
}
private static IEnumerable<IEnumerable<int>> FindSequences(IEnumerable<int> items, int minSequenceLength)
{
//Convert item list to dictionary
var itemDict = new Dictionary<int, int>();
foreach (int val in items)
{
itemDict[val] = val;
}
var allSequences = new List<List<int>>();
//for each val in items, find longest sequence including that value
foreach (var item in items)
{
var sequence = FindLongestSequenceIncludingValue(itemDict, item);
allSequences.Add(sequence);
//remove items from dict to prevent duplicate sequences
sequence.ForEach(i => itemDict.Remove(i));
}
//return only sequences longer than 3
return allSequences.Where(sequence => sequence.Count >= minSequenceLength).ToList();
}
//Find sequence around start param value
private static List<int> FindLongestSequenceIncludingValue(Dictionary<int, int> itemDict, int value)
{
var result = new List<int>();
//check if num exists in dictionary
if (!itemDict.ContainsKey(value))
return result;
//initialize sequence list
result.Add(value);
//find values greater than starting value
//and add to end of sequence
var indexUp = value + 1;
while (itemDict.ContainsKey(indexUp))
{
result.Add(itemDict[indexUp]);
indexUp++;
}
//find values lower than starting value
//and add to start of sequence
var indexDown = value - 1;
while (itemDict.ContainsKey(indexDown))
{
result.Insert(0, itemDict[indexDown]);
indexDown--;
}
return result;
}

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