AdventOfCode 2023 Day05 Part2, Optimized using range mapping clipping
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@@ -135,19 +135,22 @@ public class Day05 : IDay
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{
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LinesReader reader = new(inputs);
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Almanac? almanac = Almanac.Parse(reader);
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long minLocation = long.MaxValue;
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int i = 0;
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List<AlmanacRangeMapping> ranges = new();
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while (almanac?.Seeds.Count > i)
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{
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long seed = almanac?.Seeds[i] ?? 0;
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long seedLen = almanac?.Seeds[i + 1] ?? 0;
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for (long j = 0; j < seedLen; j++)
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{
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long currentSeed = almanac?.ApplyMapping(seed + j) ?? 0;
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if (currentSeed < minLocation) { minLocation = currentSeed; }
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}
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long seed = almanac.Seeds[i];
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long seedLen = almanac.Seeds[i + 1];
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AlmanacRangeMapping range = new() {
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OriginStart = seed,
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DestinationStart = seed,
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Length = seedLen,
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};
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ranges.Add(range);
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i += 2;
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}
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List<AlmanacRangeMapping> mappedRanges = almanac?.ApplyMapping(ranges) ?? ranges;
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long minLocation = mappedRanges.Select(range => range.DestinationStart).Min();
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return minLocation.ToString();
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}
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@@ -176,15 +179,119 @@ public class Day05 : IDay
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{
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public long DestinationStart { get; init; }
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public long OriginStart { get; init; }
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public long Lenght { get; init; }
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public long Length { get; init; }
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public long? Apply(long value)
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{
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if (value < OriginStart) { return null; }
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long diff = value - OriginStart;
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if (diff >= Lenght) { return null; }
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if (diff >= Length) { return null; }
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return DestinationStart + diff;
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}
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public class ClipResult
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{
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public AlmanacRangeMapping? Clipped { get; init; }
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public AlmanacRangeMapping? PreClip { get; init; }
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public AlmanacRangeMapping? PostClip { get; init; }
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}
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public ClipResult Clip(AlmanacRangeMapping range)
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{
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long rangeOriginEnd = range.OriginStart + range.Length;
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if (rangeOriginEnd < OriginStart)
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{
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return new ClipResult { PreClip = range, };
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}
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long originEnd = OriginStart + Length;
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if (originEnd < range.OriginStart)
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{
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return new ClipResult { PostClip = range, };
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}
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if (OriginStart <= range.OriginStart)
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{
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if (range.OriginStart == originEnd)
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{
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return new ClipResult() {
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PostClip = range,
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};
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}
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if (rangeOriginEnd <= originEnd)
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{
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long lenInside = range.OriginStart - OriginStart;
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return new ClipResult() {
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Clipped = range with {
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DestinationStart = DestinationStart + lenInside,
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},
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};
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}
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if (rangeOriginEnd >= originEnd)
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{
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long lenInside = range.OriginStart - OriginStart;
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long lenOverlap = originEnd - range.OriginStart;
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return new ClipResult() {
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Clipped = range with {
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DestinationStart = DestinationStart + lenInside,
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Length = Length - lenInside,
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},
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PostClip = new AlmanacRangeMapping {
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OriginStart = range.OriginStart + lenOverlap,
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DestinationStart = range.DestinationStart + lenOverlap,
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Length = range.Length - lenOverlap,
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},
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};
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}
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}
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if (range.OriginStart < OriginStart)
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{
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if (rangeOriginEnd <= originEnd)
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{
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long lenClipped = (rangeOriginEnd) - OriginStart;
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long lenPre = range.Length - lenClipped;
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return new ClipResult() {
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PreClip = range with {
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Length = lenPre,
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},
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Clipped = lenClipped > 0
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? this with {
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Length = lenClipped,
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}
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: null,
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};
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}
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if (rangeOriginEnd > originEnd)
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{
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long lenClipped = Length;
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long lenPre = OriginStart - range.OriginStart;
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long lenToPost = originEnd - range.OriginStart;
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long lenPost = rangeOriginEnd - originEnd;
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return new ClipResult() {
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PreClip = range with {
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Length = lenPre,
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},
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Clipped = this with {
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Length = lenClipped,
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},
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PostClip = new AlmanacRangeMapping {
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OriginStart = range.OriginStart + lenToPost,
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DestinationStart = range.DestinationStart + lenToPost,
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Length = lenPost,
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},
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};
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}
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}
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return new ClipResult();
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}
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}
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public class AlmanacMapping
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@@ -217,7 +324,7 @@ public class Day05 : IDay
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AlmanacRangeMapping rangeMapping = new() {
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DestinationStart = Convert.ToInt64(mappingParts[0]),
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OriginStart = Convert.ToInt64(mappingParts[1]),
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Lenght = Convert.ToInt64(mappingParts[2]),
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Length = Convert.ToInt64(mappingParts[2]),
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};
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mapping.RangeMappings.Add(rangeMapping);
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} while (true);
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@@ -236,6 +343,33 @@ public class Day05 : IDay
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}
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return value;
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}
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public List<AlmanacRangeMapping> Apply(AlmanacRangeMapping range)
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{
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List<AlmanacRangeMapping> unMappedRanges = new() {
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range,
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};
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List<AlmanacRangeMapping> newUnMappedRanges = new();
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List<AlmanacRangeMapping> mappedRanges = new();
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int i = 0;
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while (RangeMappings.Count > i)
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{
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AlmanacRangeMapping rangeMapping = RangeMappings[i];
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for (int j = 0; j < unMappedRanges.Count; j++)
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{
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AlmanacRangeMapping.ClipResult result = rangeMapping.Clip(unMappedRanges[j]);
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if (result.Clipped != null) { mappedRanges.Add(result.Clipped.Value); }
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if (result.PreClip != null) { newUnMappedRanges.Add(result.PreClip.Value); }
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if (result.PostClip != null) { newUnMappedRanges.Add(result.PostClip.Value); }
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}
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unMappedRanges = newUnMappedRanges;
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newUnMappedRanges = new List<AlmanacRangeMapping>();
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i++;
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}
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return mappedRanges.Union(unMappedRanges).ToList();
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}
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}
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public class Almanac
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@@ -277,5 +411,23 @@ public class Day05 : IDay
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}
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return value;
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}
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public List<AlmanacRangeMapping> ApplyMapping(List<AlmanacRangeMapping> ranges)
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{
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List<AlmanacRangeMapping> currentRanges = ranges;
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int i = 0;
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while (i < Mappings.Count)
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{
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List<AlmanacRangeMapping> mappedRanges = currentRanges
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.Select(range => Mappings[i].Apply(range))
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.SelectMany(x => x)
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.ToList();
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currentRanges = mappedRanges
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.Select(x => x with { OriginStart = x.DestinationStart, })
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.ToList();
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i++;
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}
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return currentRanges;
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}
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}
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}
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