PForDecoder.cs

using System;
using System.IO;

namespace ConsoleApp3
{
    public ref struct PForDecoder
    {
        private readonly Span<byte> _input;
        private int _bitPos, _maxBits;
        private int _prevValue;
        private readonly Span<int> _nums;

        public PForDecoder(Span<byte> input, Span<int> scratch)
        {
            _input = input;
            _bitPos = 0;
            _maxBits = input.Length * 8;
            _prevValue = 0;
            _nums = scratch.Slice(0, 256);
        }

        public Span<int> TryDecode()
        {
            var bits = Read(2);
            switch (bits)
            {
                case 0b00: // fixed header
                    bits = Read(8);
                    int numOfValues = (bits >> 5) switch
                    {
                        0b000 => 1,
                        0b001 => 32,
                        0b010 => 64,
                        0b011 => 128,
                        0b100 => 256,
                        _ => throw new ArgumentOutOfRangeException((bits >> 5) + " isn't a valid number of items for fixed header")
                    };
                    return ReadNumbers((int)(0x1F & bits),numOfValues);
                case 0b01: // variable size
                    bits = Read(13);
                    return ReadNumbers((int)(0x1F & bits), (int)(bits >> 5));
                case 0b10: // repeated header
                    bits = Read(13);
                    int numOfRepeatedValues = (int)(bits >> 5);
                    int numOfBits = (int)(0x1F & bits);
                    var repeatedDelta = (int)Read(numOfBits);
                    for (int i = 0; i < numOfRepeatedValues; i++)
                    {
                        _prevValue += repeatedDelta;
                        _nums[i] = _prevValue;
                    }
                    return _nums.Slice(0, numOfRepeatedValues);
                default:
                    throw new ArgumentOutOfRangeException(bits + " isn't a valid header marker");
            }
        }

        private Span<int> ReadNumbers(int numOfBits, int numOfValues)
        {
            if (numOfBits == 0)
                return Span<int>.Empty;
            for (int i = 0; i < numOfValues; i++)
            {
                var v = Read(numOfBits);
                _prevValue += (int)v;
                _nums[i] = _prevValue;
            }
            return _nums.Slice(0, numOfValues);
        }

        private ulong Read(int bitsToRead)
        {
            int end = _bitPos + bitsToRead;
            if (end > _maxBits)
                throw new EndOfStreamException();

            ulong value = 0; ;
            while (_bitPos < end)
            {
                value <<= 1;
                ulong bit = (ulong)((_input[_bitPos >> 3] >> (7 - (_bitPos & 0x7))) & 1);
                value += bit;
                _bitPos++;
            }
            return value;
        }
    }
}

PForEncoder.cs

using System;
using System.Diagnostics;
using System.Numerics;

namespace ConsoleApp3
{
    /*
     * See Binary Packing (2.6) here: https://arxiv.org/pdf/1209.2137.pdf
     * for the baseline idea on the format. 
     * 
     * The output represent a bit stream with format that is a sequence of header | data pairs.
     * The header is defined as: 
     * 
     * * 0b00  (10 bits) - fixed header marker - followed by 3 bits value indicating the number of numbers following
     *                  * 0b000 - 1 value
     *                  * 0b001 - 32 values
     *                  * 0b010 - 64 values
     *                  * 0b011 - 128 values
     *                  * 0b100 - 256 values
     *            then 5 bits value (B bits per number)
     * * 0b01   (15 bits) - variable header marker - followed by 8 bits value (number of items) and 5 bits value (B bits per number)
     * * 0b10   (15 bits) - repeated header marker - followed by 8 bits value (number of repetitions) and 5 bits value (B bits per number) 
     * * 0b11   - reserved
     */
    public ref struct PForEncoder
    {
        public const int BufferLen = 256;

        private readonly Span<byte> _output;
        private int _bufPos, _bitPos;
        private int _maxNumOfBits;
        private readonly Span<uint> _deltasBuffer;
        private int _prev;
        private bool _first;

        public int SizeInBytes;

        public PForEncoder(Span<byte> output, Span<uint> scratchBuffer)
        {
            _output = output;
            _bufPos = 0;
            _bitPos = 0;
            _maxNumOfBits = output.Length * 8;
            _prev = 0;
            _first = true;
            SizeInBytes = -1;
            _deltasBuffer = scratchBuffer.Slice(0, BufferLen);
        }

        public bool TryAdd(int value)
        {
            if (value < 0)
                throw new ArgumentOutOfRangeException();
            if (!_first && _prev > value)
                throw new ArgumentOutOfRangeException();

            if (_first)
            {
                _deltasBuffer[_bufPos++] = (uint)value;
                _prev = value;
                _first = false;
                return TryFlush();
            }

            if (_bufPos < BufferLen)
            {
                var diff = value - _prev;
                _prev = value;
                _deltasBuffer[_bufPos++] = (uint)diff;
                return true;
            }
            if (TryFlush() == false)
                return false;
            return TryAdd(value);
        }

        public bool TryClose()
        {
            var result = TryFlush() && TryPushBits(0, 10);
            SizeInBytes = (_bitPos + 7) / 8;
            _bitPos = int.MaxValue;
            return result;
        }

        private bool TryFlush(Span<uint> buffer)
        {
            if (buffer.Length == 0)
                return true;
            if (buffer.Length == 1)
            {
                var bits = 32 - BitOperations.LeadingZeroCount(buffer[0]);
                Debug.Assert(bits < 32); // we never encode 0
                ulong header = 0b00_000_00000ul | (uint)bits;
                return TryPushBits(header, 10) && TryPushBits(buffer[0], bits);
            }
            var (maxBits, identicalPrefix) = Analyze(buffer);
            Debug.Assert(identicalPrefix <= 256);
            if (identicalPrefix > 5) // enough to warrant a repeating header to save space
            {
                ulong header = 0b10_00000000_00000ul | (uint)identicalPrefix << 5 | (uint)maxBits;
                if (TryPushBits(header, 15) == false ||
                    TryPushBits(buffer[0], maxBits) == false)
                    return false;
                return TryFlush(buffer.Slice(identicalPrefix));
            }
            ulong fixedSizeMarker = buffer.Length switch
            {
                32 => 0b001,
                64 => 0b010,
                128 => 0b011,
                256 => 0b100,
                _ => 0
            };
            if (fixedSizeMarker != 0)
            {
                var half = buffer.Length / 2;
                // now need to figure out optimal partitioning scheme
                int first = MaxBits(buffer.Slice(0, half)),
                    second = MaxBits(buffer.Slice(half));
                if (first != second) // better to output them as two segments, then
                {
                    return TryFlush(buffer.Slice(0, half)) &&
                        TryFlush(buffer.Slice(half));
                }
                ulong header = 0b00_000_00000ul | fixedSizeMarker << 5 | (uint)maxBits;
                if (TryPushBits(header, 10) == false)
                    return false;
                return TryPushValues(buffer, maxBits);
            }
            else
            {
                ulong header = 0b01_0000_0000_00000ul | (ulong)(buffer.Length) << 5 | (uint)maxBits;
                if (TryPushBits(header, 15) == false)
                    return false;
                return TryPushValues(buffer, maxBits);
            }
        }

        private bool TryPushValues(Span<uint> buffer, int maxBits)
        {
            for (int i = 0; i < buffer.Length; i++)
            {
                if (TryPushBits(buffer[i], maxBits) == false)
                {
                    return false;
                }
            }
            return true;
        }

        public bool TryFlush()
        {
            var oldPos = _bufPos;
            _bufPos = 0;
            return TryFlush(_deltasBuffer.Slice(0, oldPos));
        }

        private static int MaxBits(Span<uint> buffer)
        {
            uint mask = 0;
            for (int i = 0; i < buffer.Length; i++)
            {
                mask |= buffer[i];
            }
            var maxBits = 32 - BitOperations.LeadingZeroCount(mask);
            Debug.Assert(maxBits < 32); // we never encode 0
            return maxBits;
        }

        private static (int MaxNumberOfBits, int IdenticalPrefixLegnth) Analyze(Span<uint> buffer)
        {
            uint mask = buffer[0];
            int identicalPrefix = 1;
            bool identical = true;
            for (int i = 1; i < buffer.Length; i++)
            {
                mask |= buffer[i];
                if (identical)
                {
                    if (buffer[i] == buffer[0])
                    {
                        identicalPrefix++;
                    }
                    else
                    {
                        identical = false;
                    }
                }
            }
            var maxBits = 32 - BitOperations.LeadingZeroCount(mask);
            Debug.Assert(maxBits < 32); // we never encode 0
            return (maxBits, identicalPrefix);
        }

        // see: 
        // https://github.com/facebookarchive/beringei/blob/75c3002b179d99c8709323d605e7d4b53484035c/beringei/lib/BitUtil.cpp#L17
        public bool TryPushBits(ulong value, int bitsInValue)
        {
            if (_bitPos + bitsInValue > _maxNumOfBits)
            {
                return false;
            }

            int bitsAvailable = (_bitPos & 0x7) != 0 ? (8 - (_bitPos & 0x7)) : 0;
            var bytePos = _bitPos / 8;
            _bitPos += bitsInValue;
            if (bitsInValue <= bitsAvailable)
            {
                // Everything fits inside the last byte
                _output[bytePos] += (byte)(value << (bitsAvailable - bitsInValue));
                return true;
            }

            int bitsLeft = bitsInValue;
            if (bitsAvailable > 0)
            {
                // Fill up the last byte
                _output[bytePos] += (byte)(value >> (bitsInValue - bitsAvailable));
                bitsLeft -= bitsAvailable;
                bytePos++;
            }

            while (bitsLeft >= 8)
            {
                // Enough bits for a dedicated byte
                _output[bytePos] = (byte)((value >> (bitsLeft - 8)) & 0xFF);
                bitsLeft -= 8;
                bytePos++;
            }

            if (bitsLeft != 0)
            {
                // Start a new byte with the rest of the bits
                _output[bytePos] += (byte)((value & ((1U << bitsLeft) - 1)) << (8 - bitsLeft));
            }
            return true;
        }
    }
}

using System;
using System.Linq;
using System.Numerics;

namespace ConsoleApp3
{
    class Program
    {
        unsafe static void Main(string[] args)
        {
            var list = new int[] { 55394368, 55395082, 55395732, 55396483, 55397200, 55397901, 55398608, 55399311, 55399984, 55400678, 55401382, 55402560, 55403228, 55403972, 55404652, 55405381, 55406115, 55406337, 55406552, 55406750, 55407003, 55407263, 55407497, 55407691, 55407880, 55408031, 55408304, 55408543, 55408733, 55408973, 55409183, 55409444, 55409660, 55409887, 55410126, 55410324, 55410752, 55411034, 55411280, 55411473, 55411704, 55411962, 55412207, 55412468, 55412668, 55412862, 55413173, 55413443, 55413634, 55413909, 55414143, 55414392, 55414613, 55414889, 55415101, 55415302, 55415599, 55415853, 55416124, 55416387, 55416609, 55416859, 55417124, 55417331, 55417582, 55417740, 55417862, 55418035, 55418246, 55418414, 55418600, 55418944, 55419184, 55419380, 55419599, 55419817, 55420044, 55420335, 55420601, 55420828, 55421088, 55421335, 55421573, 55421722, 55421921, 55422189, 55422444, 55422638, 55422856, 55423078, 55423358, 55423557, 55423804, 55424063, 55424276, 55424512, 55424710, 55424975, 55425188, 55425302, 55425549, 55425706, 55425922, 55426165, 55426505, 55426745, 55427136, 55427366, 55427599, 55427812, 55428007, 55428253, 55428511, 55428799, 55428962, 55429249, 55429471, 55429702, 55429918, 55430178, 55430455, 55430775, 55430970, 55431249, 55431450, 55431733, 55431924, 55432182, 55432421, 55432655, 55432902, 55433126, 55433411, 55433583, 55433734, 55434007, 55434282, 55434515, 55434768, 55434977, 55435328, 55435559, 55435821, 55436111, 55436304, 55436537, 55436852, 55437073, 55437358, 55437596, 55437866, 55438111, 55438362, 55438602, 55438834, 55439064, 55439317, 55439553, 55439810, 55440111, 55440381, 55440633, 55440881, 55441113, 55441386, 55441602, 55441840, 55442057, 55442288, 55442502, 55442766, 55442999, 55443520, 55443819, 55444079, 55444310, 55444539, 55444802, 55445055, 55445328, 55445557, 55445786, 55445957, 55446236, 55446471, 55446727, 55446945, 55447202, 55447441, 55447709, 55447905, 55448145, 55448377, 55448628, 55448844, 55449013, 55449221, 55449473, 55449653, 55449912, 55450132, 55450388, 55450555, 55450770, 55451044, 55451272, 55451712, 55451924, 55452185, 55452400, 55452575, 55452872, 55453121, 55453368, 55453551, 55453778, 55454017, 55454320, 55454603, 55454803, 55455070, 55455282, 55455521, 55455746, 55455968, 55456204, 55456420, 55456704, 55456953, 55457186, 55457406, 55457606, 55457870, 55458078, 55458307, 55458493, 55458739, 55458984, 55459286, 55459523, 55459904, 55460054, 55460250, 55460540, 55460816, 55461067, 55461292, 55461467, 55461730, 55461921, 55462184, 55462490, 55462654, 55462871, 55463062, 55463365, 55463518, 55463790, 55463992, 55464227, 55464459, 55464664, 55464852, 55465092, 55465417, 55465666, 55465905, 55466148, 55466464, 55466655, 55466900, 55467185, 55467447, 55467680, 55468096, 55468409, 55468651, 55468922, 55469140, 55469356, 55469586, 55469800, 55470045, 55470288, 55470477, 55470724, 55470996, 55471268, 55471510, 55471801, 55472097, 55472299, 55472547, 55472854, 55473171, 55473372, 55473575, 55473787, 55473963, 55474233, 55474438, 55474649, 55474914, 55475173, 55475441, 55475683, 55476288, 55476582, 55476918, 55477058, 55477312, 55477686, 55477834, 55478011, 55478270, 55478498, 55478730, 55478967, 55479220, 55479380, 55479570, 55479791, 55479999, 55480223, 55480415, 55480717, 55480957, 55481188, 55481436, 55481688, 55481956, 55482173, 55482424, 55482668, 55482826, 55483033, 55483275, 55483417, 55483641, 55483873, 55484480, 55484724, 55484938, 55485201, 55485448, 55485714, 55485962, 55486225, 55486429, 55486716, 55486960, 55487210, 55487404, 55487567, 55487803, 55488008, 55488273, 55488524, 55488810, 55489067, 55489374, 55489561, 55489806, 55490003, 55490253, 55490568, 55490836, 55491049, 55491255, 55491549, 55491748, 55492048, 55492303, 55492672, 55492968, 55493206, 55493448, 55493673, 55493989, 55494259, 55494484, 55494622, 55494838, 55495043, 55495261, 55495446, 55495697, 55496026, 55496357, 55496605, 55496855, 55497150, 55497339, 55497561, 55497811, 55497979, 55498221, 55498482, 55498721, 55498972, 55499191, 55499467, 55499675, 55499888, 55500105, 55500377, 55500545, 55500864, 55501074, 55501333, 55501672, 55501978, 55502229, 55502382, 55502530, 55502732, 55503024, 55503292, 55503523, 55503723, 55503886, 55504097, 55504235, 55504522, 55504761, 55504995, 55505266, 55505492, 55505697, 55505965, 55506209, 55506486, 55506620, 55506904, 55507131, 55507405, 55507629, 55507902, 55508155, 55508377, 55508564, 55508782, 55509056, 55509334, 55509604, 55509820, 55510104, 55510379, 55510696, 55510942, 55511280, 55511519, 55511728, 55512003, 55512184, 55512406, 55512647, 55512940, 55513183, 55513430, 55513705, 55513958, 55514253, 55514487, 55514728, 55514888, 55515208, 55515508, 55515744, 55516036, 55516202, 55516451, 55516732, 55516977, 55402074, 55443222, 55475962, 55484180, 57671744, 57671981, 57672227, 57672526, 57672805, 57673049, 57673306, 57673503, 57673746, 57674026, 57674319, 57674497, 57674722, 57674912, 57675149, 57675435, 57675676, 57675931, 57676187, 57676368, 57676612, 57676903, 57677152, 57677407, 57677641, 57677887, 57678185, 57678387, 57678629, 57678863, 57679129, 57679325, 57679556, 57679936, 57680180, 57680455, 57680716, 57681001, 57681284, 57681453, 57681659, 57681937, 57682181, 57682526, 57682782, 57683003, 57683154, 57683381, 57683571, 57683815, 57684055, 57684310, 57684535, 57684728, 57684931, 57685140, 57685363, 57685582, 57685839, 57686084, 57686330, 57686640, 57686867, 57687085, 57687374, 57687616, 57687777, 57688128, 57688396, 57688633, 57688796, 57689098, 57689272, 57689488, 57689732, 57689978, 57690190, 57690437, 57690698, 57690929, 57691153, 57691392, 57691620, 57691834, 57692070, 57692344, 57692642, 57692926, 57693161, 57693426, 57693625, 57693876, 57694186, 57694439, 57694677, 57694886, 57695068, 57695280, 57695516, 57695751, 57695988, 57696320, 57696546, 57696810, 57697112, 57697419, 57697679, 57697959, 57698228, 57698445, 57698695, 57698949, 57699227, 57699494, 57699717, 57699996, 57700300, 57700590, 57700811, 57701026, 57701361, 57701659, 57701997, 57702259, 57702505, 57702779, 57703063, 57703296, 57703499, 57703675, 57703946, 57704512, 57704789, 57705089, 57705288, 57705523, 57705787, 57706027, 57706282, 57706574, 57706805, 57707082, 57707281, 57707559, 57707822, 57708084, 57708355, 57708614, 57708846, 57709062, 57709312, 57709522, 57709736, 57709942, 57710199, 57710499, 57710728, 57711012, 57711214, 57711465, 57711793, 57712097, 57712336, 57712704, 57712948, 57713182, 57713423, 57713637, 57713976, 57714249, 57714496, 57714740, 57714929, 57715147, 57715297, 57715535, 57715783, 57716008, 57716298, 57716548, 57716770, 57717011, 57717224, 57717493, 57717760, 57718032, 57718272, 57718430, 57718714, 57718920, 57719167, 57719434, 57719692, 57719930, 57720239, 57720500, 57720896, 57721152, 57721440, 57721699, 57721961, 57722233, 57722493, 57722719, 57722953, 57723255, 57723451, 57723741, 57724001, 57724253, 57724514, 57724717, 57724944, 57725219, 57725469, 57725729, 57725998, 57726232, 57726505, 57726757, 57726967, 57727246, 57727446, 57727720, 57728000, 57728260, 57728491, 57729088, 57729364, 57729693, 57729928, 57730204, 57730493, 57730793, 57731018, 57731278, 57731485, 57731795, 57732039, 57732257, 57732499, 57732760, 57732974, 57733179, 57733391, 57733611, 57733815, 57734010, 57734292, 57734444, 57734698, 57734920, 57735216, 57735539, 57735875, 57736112, 57736358, 57736605, 57736833, 57737280, 57737474, 57737778, 57738032, 57738288, 57738566, 57738781, 57739013, 57739224, 57739453, 57739626, 57739907, 57740123, 57740349, 57740670, 57740963, 57741147, 57741314, 57741476, 57741710, 57741941, 57742152, 57742369, 57742581, 57742809, 57743006, 57743216, 57743433, 57743694, 57743959, 57744099, 57744285, 57744513, 57744692, 57744955, 57745175, 57745472, 57745713, 57745883, 57746076, 57746307, 57746484, 57746682, 57746862, 57747067, 57747301, 57747598, 57747825, 57748082, 57748304, 57748514, 57748705, 57748895, 57749015, 57749174, 57749365, 57749569, 57749769, 57749976, 57750167, 57750347, 57750568, 57750815, 57750982, 57751184, 57751403, 57751578, 57751791, 57751913, 57752123, 57752338, 57752516, 57752658, 57752830, 57752977, 57753187, 57753369, 57753664, 57753903, 57754114, 57754392, 57754637, 57754872, 57755034, 57755306, 57755521, 57755777, 57756003, 57756209, 57756457, 57756676, 57756898, 57757138, 57757771, 57758060, 57758312, 57758549, 57758873, 57759150, 57759354, 57759632, 57759897, 57760152, 57760444, 57760660, 57760952, 57761203, 57761464, 57761856, 57762086, 57762270, 57762526, 57762770, 57763029, 57763284, 57763551, 57763791, 57764034, 57764297, 57764566, 57764808, 57765073, 57765331, 57765561, 57765873, 57766105, 57766355, 57766630, 57766893, 57767209, 57767548, 57767769, 57767981, 57768253, 57768558, 57768818, 57769111, 57769380, 57769605, 57770048, 57770351, 57770591, 57770921, 57771167, 57771383, 57771626, 57771943, 57772204, 57772476, 57772796, 57773070, 57773336, 57773636, 57773901, 57774195, 57774493, 57774750, 57775063, 57775370, 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58669158, 58669395, 58669641, 58669928, 58670148, 58670374, 58670633, 58670819, 58671168, 58671377, 58671594, 58671822, 58672025, 58672238, 58672446, 58672665, 58672920, 58673083, 58673290, 58673522, 58673713, 58673905, 58674126, 58674334, 58674508, 58674677, 58674889, 58675116, 58675383, 58675592, 58675808, 58676022, 58676240, 58676481, 58676692, 58676906, 58677144, 58677356, 58677592, 58677789, 58678012, 58678260, 58678457, 58678684, 58678836, 58679015, 58679360, 58679588, 58679841, 58680101, 58680286, 58680490, 58680741, 58680953, 58681165, 58681357, 58681561, 58681773, 58681902, 58682050, 58682255, 58682412, 58682597, 58682819, 58683064, 58683266, 58683489, 58683729, 58683979, 58684216, 58684454, 58684711, 58684855, 58684994, 58685173, 58685386, 58685611, 58685832, 58686031, 58686243, 58686478, 58686678, 58686896, 58687137, 58687552, 58687714, 58687880, 58688071, 58688270, 58688514, 58688655, 58688788, 58688992, 58689223, 58689468, 58689670, 58689894, 58690140, 58690402, 58690685, 58690903, 58691129, 58691387, 58691657, 58691863, 58692092, 58692277, 58692467, 58692711, 58692967, 58693228, 58693500, 58693708, 58693924, 58694127, 58694368, 58694636, 58694915, 58695225, 58695414, 58695744, 58695958, 58696179, 58696420, 58696666, 58696865, 58697074, 58697291, 58697432, 58697583, 58697805, 58698009, 58698216, 58698417, 58698637, 58698834, 58699051, 58699282, 58699427, 58699577, 58699763, 58699976, 58700179, 58700384, 58700591, 58700817, 58701060, 58701327, 58701629, 58701852, 58702095, 58702322, 58702580, 58702881, 58703131, 58703420, 58703936, 58704138, 58704350, 58704566, 58704703, 58704867, 58705082, 58705327, 58705528, 58705730, 58705946, 58706111, 58706284, 58706480, 58706612, 58706735, 58706951, 58707180, 58707412, 58707694, 58707915, 58708147, 58708356, 58708587, 58708802, 58709009, 58709217, 58709463, 58709747, 58709963, 58710217, 58710432, 58710666, 58710869, 58711066, 58711295, 58711530, 58711797, 58712128, 58712327, 58712553, 58712810, 58712970, 58713142, 58713317, 58713520, 58713754, 58713995, 58714211, 58714457, 58714704, 58714985, 58715198, 58715434, 58715685, 58715883, 58716096, 58716333, 58716527, 58716748, 58716979, 58717219, 58717427, 58717656, 58717938, 58718118, 58718324, 58718574, 58718772, 58719003, 58719163, 58719315, 58719515, 58719724, 58719948, 58720320, 58720517, 58720719, 58720953, 58721195, 58721452, 58721649, 58721845, 58722087, 58722299, 58722509, 58722717, 58722927, 58723164, 58723378, 58723584, 58723809, 58724070, 58724277, 58724508, 58724782, 58725003, 58725251, 58725404, 58725572, 58725767, 58725980, 58726200, 58726402, 58726611, 58726826, 58727052, 58727300, 58727567, 58727777, 58727997, 58728225, 58728512, 58728731, 58728972, 58729213, 58729409, 58729611, 58729839, 58730029, 58730233, 58730458, 58730696, 58730939, 58731136, 58731338, 58731538, 58731748, 58731892, 58732059, 58732268, 58732497, 58732733, 58733005, 58733291, 58733504, 58733713, 58733963, 58734249, 58734551, 58734761, 58734991, 58735229, 58735423, 58735626, 58735841, 58736055, 58736271, 58736704, 58736988, 58737320, 58737654, 58737800, 58737956, 58738126, 58738335, 58738555, 58738757, 58738914, 58739074, 58739260, 58739454, 58739682, 58739915, 58740183, 58740401, 58740631, 58740777, 58740952, 58741132, 58741371, 58741625, 58741901, 58742031, 58742169, 58742375, 58742593, 58742851, 58743084, 58743334, 58743600, 58743834, 58744073, 58744272, 58744460, 58744896, 58745097, 58745320, 58745493, 58745681, 58745890, 58746103, 58746354, 58746503, 58746677, 58746886, 58747113, 58747273, 58747446, 58747643, 58747872, 58748140, 58748342, 58748536, 58748760, 58748989, 58749265, 58749472, 58749705, 58749972, 58750174, 58750382, 58750598, 58750823, 58751003, 58751231, 58751499, 58751707, 58751911, 58752130, 58752284, 58752441, 58752615, 58753088, 58753320, 58753519, 58753743, 58753937, 58754117, 58754327, 58754551, 58754792, 58754974, 58755181, 58755424, 58755660, 58755923, 58756210, 58756501, 58756748, 58757024, 58757324, 58757532, 58757747, 58757996, 58758211, 58758419, 58758629, 58758825, 58759041, 58759255, 58759475, 58759718, 58760010, 58760220, 58760455, 58760670, 58760909, 58761280, 58761481, 58761677, 58761875, 58762079, 58762287, 58762518, 58762768, 58763048, 58763281, 58763428, 58763569, 58763734, 58763973, 58764188, 58764383, 58764602, 58764856, 58765111, 58765321, 58765537, 58765761, 58766022, 58766209, 58766395, 58766616, 58766861, 58767009, 58767178, 58767366, 58767593, 58767850, 58768136, 58768325, 58768532, 58768783, 58769001, 58769472, 58769762, 58770063, 58770262, 58770492, 58770685, 58770895, 58771113, 58771325, 58771579, 58771853, 58772156, 58772368, 58772576, 58772800, 58773057, 58773198, 58773377, 58773565, 58773770, 58773983, 58774211, 58774440, 58774656, 58774880, 58775145, 58775438, 58775647, 58775864, 58775990, 58776140, 58776299, 58776495, 58776704, 58776921, 58777179, 58777335, 58777664, 58777890, 58778101, 58778323, 58778555, 58778757, 58779006, 58779270, 58779538, 58779814, 58780009, 58780199, 58780429, 58780672, 58780806, 58780934, 58781130, 58781346, 58781484, 58781632, 58781786, 58781908, 58782042, 58782227, 58782438, 58782578, 58782730, 58782901, 58783102, 58783294, 58783488, 58783678, 58783866, 58784065, 58784288, 58784482, 58784714, 58784971, 58785171, 58785301, 58785444, 58785856, 58786068, 58786288, 58786478, 58786660, 58786875, 58787115, 58787367, 58787586, 58787815, 58788039, 58788268, 58788469, 58788678, 58788921, 58789183, 58789380, 58789604, 58789801, 58790013, 58790217, 58790449, 58790700, 58790935, 58791168, 58791360, 58791577, 58791717, 58791870, 58792021, 58792195, 58792393, 58792617, 58792818, 58793014, 58793218, 58793418, 58793626, 58794048, 58794245, 58794446, 58794679, 58794870, 58795069, 58795284, 58795509, 58795758, 58796021, 58796205, 58796420, 58796680, 58796876, 58797081, 58797298, 58797506, 58797746, 58797953, 58798192, 58798458, 58798653, 58798874, 58799112, 58799267, 58799433, 58799632, 58799839, 58800096, 58800361, 58800655, 58800823, 58801009, 58801224, 58801423, 58801635, 58801829, 58802240, 58802468, 58802732, 58802885, 58803098, 58803316, 58803536, 58803781, 58804059, 58804346, 58804555, 58804774, 58804985, 58805198, 58805395, 58805609, 58805818, 58805991, 58806170, 58806381, 58806619, 58806895, 58807202, 58807318, 58807440, 58807651, 58807887, 58808073, 58808290, 58808488, 58808690, 58808897, 58809126, 58809339, 58809561, 58809776, 58810001, 58810432, 58810672, 58810910, 58811176, 58811398, 58811626, 58811900, 58812191, 58812382, 58812605, 58812856, 58813121, 58813318, 58813522, 58813757, 58813960, 58814188, 58814401, 58814636, 58814781, 58814951, 58815153, 58815360, 58815592, 58815780, 58815993, 58816230, 58816491, 58816731, 58816974, 58817239, 58817460, 58817692, 58817946, 58818215, 58818624, 58818852, 58819114, 58819405, 58819602, 58819826, 58820075, 58820337, 58820503, 58820697, 58820900, 58821124, 58821365, 58821641, 58821946, 58822181, 58822424, 58822695, 58822849, 58823034, 58823256, 58823503, 58823764, 58824035, 58824242, 58824475, 58824683, 58824918, 58825126, 58825355, 58825593, 58825794, 58826028, 58826293, 58826816, 58827015, 58827220, 58827423, 58827610, 58827753, 58827913, 58828110, 58828315, 58828547, 58828828, 58829034, 58829235, 58829443, 58829680, 58829941, 58830124, 58830329, 58830543, 58830728, 58830939, 58831166, 58831336, 58831545, 58831748, 58831956, 58832180, 58832435, 58832700, 58832895, 58833102, 58833243, 58833410, 58833653, 58833923, 58834140, 58834371, 58834571, 58835008, 58835245, 58835430, 58835662, 58835916, 58836197, 58836400, 58836622, 58836857, 58837103, 58837306, 58837500, 58837722, 58837954, 58838201, 58838392, 58838577, 58838786, 58839035, 58839235, 58839440, 58839631, 58839848, 58840088, 58840342, 58840537, 58840742, 58840921, 58841111, 58841310, 58841522, 58841770, 58842047, 58842170, 58842315, 58842479, 58842660, 58842792, 58843200, 58843397, 58843572, 58843768, 58843999, 58844269, 58844480, 58844699, 58844921, 58845179, 58845308, 58845427, 58845587, 58845803, 58845998, 58846198, 58846394, 58846621, 58846800, 58846987, 58847198, 58847409, 58847620, 58847816, 58848013, 58848225, 58848455, 58848716, 58848856, 58849019, 58849200, 58849331, 58849473, 58849641, 58849827, 58850046, 58850274, 58850461, 58850689, 58850888, 58851085, 58851187, 58851392, 58851466, 58851579, 58851685, 58851797, 58851949, 58852123, 58852343, 58852577, 58852744, 58852956, 58853137, 58853312, 58853492, 58853684, 58853884, 58854091, 58854294, 58854534, 58854796, 58854995, 58855207, 58855439, 58855645, 58855855, 58856091, 58856344, 58856637, 58856821, 58857023, 58857238, 58857479, 58857687, 58857900, 58858138, 58858348, 58858570, 58858705, 58858846, 58859074, 58859584, 58859874, 58860120, 58860321, 58860542, 58860670, 58860800, 58860988, 58861203, 58861457, 58861628, 58861799, 58861956, 58862055, 58862117, 58862330, 58862556, 58862817, 58863077, 58863266, 58863453, 58863677, 58863880, 58864113, 58864312, 58864505, 58864737, 58864946, 58865187, 58865440, 58865721, 58865908, 58866118, 58866315, 58866509, 58866714, 58866934, 58867149, 58867392, 58867776, 58867936, 58868107, 58868290, 58868477, 58868671, 58868854, 58869052, 58869268, 58869473, 58869703, 58869921, 58870165, 58870358, 58870540, 58870657, 58870770, 58870891, 58870975, 58871137, 58871324, 58871527, 58871746, 58871873, 58872027, 58872215, 58872398, 58872581, 58872767, 58872963, 58873179, 58873388, 58873594, 58873796, 58874025, 58874172, 58874329, 58874495, 58874668, 58874894, 58875090, 58875303, 58875518, 58875968, 58876188, 58876420, 58876661, 58876895, 58877136, 58877397, 58877665, 58877751, 58877943, 58878157, 58878396, 58878538, 58878710, 58878903, 58879133, 58879376, 58879614, 58879791, 58879912, 58880032, 58880231, 58880458, 58880654, 58880844, 58881066, 58881324, 58881610, 58881816, 58882008, 58882215, 58882457, 58882644, 58882861, 58883112, 58883372, 58883589, 58883824, 58884160, 58884298, 58884450, 58884644, 58884827, 58885016, 58885191, 58885394, 58885604, 58885838, 58886077, 58886290, 58886413, 58886528, 58886657, 58886777, 58886921, 58887073, 58887270, 58887468, 58887693, 58887947, 58888237, 58888358, 58888476, 58888607, 58888766, 58888938, 58889121, 58889181, 58889323, 58889446, 58889575, 58889720, 58889883, 58890026, 58890173, 58890332, 58890534, 58890742, 58890958, 58891178, 58891408, 58891663, 58891946, 58892352, 58892551, 58892754, 58892942, 58893126, 58893344, 58893579, 58893835, 58893980, 58894130, 58894313, 58894523, 58894725, 58894931, 58895183, 58895381, 58895498, 58895630, 58895839, 58896028, 58896235, 58896426, 58896629, 58896839, 58897047, 58897233, 58897452, 58897710, 58897971, 58898167, 58898363, 58898589, 58898807, 58899034, 58899276, 58899392, 58899522, 58899677, 58899846, 58899982, 58900131, 58900544, 58900733, 58900919, 58901139, 58901364, 58901583, 58901826, 58902028, 58902264, 58902470, 58902689, 58902875, 58903063, 58903238, 58903362, 58903482, 58903567, 58903753, 58903948, 58904134, 58904305, 58904487, 58904698, 58904912, 58905128, 58905352, 58905587, 58905784, 58905985, 58906216, 58906466, 58906696, 58906908, 58907151, 58907377, 58907604, 58907750, 58907917, 58908104, 58908280, 58908456, 58908736, 58908935, 58909154, 58909344, 58909545, 58909758, 58910002, 58910266, 58910546, 58910693, 58910865, 58911060, 58911250, 58911450, 58911679, 58911950, 58912230, 58912421, 58912626, 58912783, 58912908, 58913009, 58913076, 58913265, 58913479, 58913694, 58913922, 58914068, 58914246, 58914446, 58914679, 58914826, 58914994, 58915171, 58915365, 58915560, 58915765, 58915992, 58916260, 58916465, 58916928, 58917137, 58917367, 58917631, 58917843, 58918074, 58918321, 58918606, 58918793, 58919005, 58919187, 58919406, 58919626, 58919847, 58920072, 58920314, 58920584, 58920880, 58921073, 58921283, 58921512, 58921717, 58921963, 58922158, 58922343, 58922495, 58922653, 58922846, 58923051, 58923280, 58923476, 58923708, 58923829, 58924023, 58924223, 58924356, 58924552, 58924679, 58924839, 58925120, 58925301, 58925493, 58925687, 58925905, 58926032, 58926188, 58926357, 58926567, 58926757, 58926930, 58927115, 58927288, 58927488, 58927688, 58927935, 58928102, 58928270, 58928406, 58928564, 58928736, 58928912, 58929106, 58929312, 58929509, 58929744, 58929988, 58930122, 58930271, 58930441, 58930628, 58930829, 58931064, 58931337, 58931537, 58931756, 58932002, 58932186, 58932397, 58932626, 58932874, 58933312, 58933518, 58933746, 58933984, 58934234, 58934452, 58934680, 58934811, 58934950, 58935108, 58935293, 58935514, 58935747, 58935980, 58936217, 58936438, 58936685, 58936908, 58937145, 58937422, 58937614, 58937827, 58938077, 58938379, 58938696, 58939023, 58939357, 58939704, 58940060, 58940428, 58940805, 58941504, 58941888, 58942275, 58942665, 58943061, 58943457, 58943849, 58944252, 58944660, 58945074, 58945487, 58945904, 58946321 };
            //var list = new int[] { 13811776, 13812695, 13813617, 13814688, 13815756, 13819968, 18268160, 18276352, 13822568, 13828160, 13830625, 13833063, 13833930, 13834799, 13836352, 13837305, 13839762, 13841440, 13844544, 13846586, 13846834, 13847104, 13847351, 13847622, 13849479, 13852736, 13854499, 13856287, 13857920, 13860928, 13863416, 13865928, 13869120, 13870858, 13872682, 13874518, 13877312, 13879990, 13882104, 13885504, 13887155, 13888816, 13890227, 13891652, 13892397, 13893696, 13895128, 13896576, 13896838, 13897111, 13898997, 13901888, 13905115, 13910080, 13911797, 13913523, 13918272, 13921158, 13921496, 13921845, 13922914, 13924008, 13924257, 13924531, 13924779, 13926464, 13928107, 13929775, 13930152, 13930552, 13930919, 18300992, 18303407, 18305425, 18307449, 18307739, 18309184, 18310415, 18311672, 18311910, 18312171, 18313795, 18315444, 18315711, 18317376, 18319039, 18320664, 18320920, 18321315, 18322465, 18325568, 18327540, 18329470, 18333760, 18336313, 18336583, 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54900632, 54900929, 54901189, 54901471, 54901753, 54902036, 54902298, 54902848, 54903157, 54903441, 54903744, 54904025, 54904285, 54904568, 54904847, 54905127, 54905388, 54905671, 54905932, 54906215, 54906476, 54906760, 54907093, 54907437, 54907721, 54908028, 54908318, 54908623, 54908908, 54909215, 54909501, 54909811, 54910147, 54910495, 54911040, 54911322, 54911604, 54911967, 54912332, 54912593, 54912851, 54913137, 54913446, 54913731, 54914024, 54914308, 54914617, 54914877, 54915159, 54915441, 54915722, 54915981, 54916267, 54916575, 54916862, 54917171, 54917432, 54917715, 54917996, 54918280, 54918541, 54918826, 54919232, 54919490, 54919768, 54920049, 54920331, 54920590, 54920873, 54921178, 54921513, 54921857, 54922143, 54922451, 54922732, 54923012, 54923290, 54923594, 54923881, 54924190, 54924523, 54924868, 54925176, 54925461, 54925809, 54926144, 54926438, 54926723, 54927006, 54927424, 54927716, 54928021, 54928326, 54928630, 54928911, 54929193, 54929477, 54929805, 54930133, 54930498, 54930823, 54931181, 54931543, 54931906, 54932271, 54932530, 54932811, 54933115, 54933376, 54933660, 54933942, 54934222, 54934483, 54934767, 54935048, 54935616, 54935961, 54936242, 54936502, 54936785, 54937066, 54937327, 54937608, 54937945, 54938293, 54938588, 54938875, 54939159, 54939453, 54939746, 54940051, 54940416, 54940782, 54941068, 54941380, 54941665, 54941973, 54942258, 54942565, 54942874, 54943158, 54943808, 54944118, 54944400, 54944709, 54944989, 54945294, 54945584, 54945864, 54946147, 54946453, 54946710, 54946990, 54947269, 54947548, 54947804, 54948082, 54948421, 54948751, 54949028, 54949331, 54949644, 54949946, 54950257, 54950559, 54950869, 54951155, 54951464, 54952000, 54952308, 54952614, 54952899, 54953184, 54953491, 54954081, 54954391 };
            Array.Sort(list);

            Span<byte> dest = stackalloc byte[1024 * 128];

            Span<uint> buf = stackalloc uint[256];
            var encoder = new PForEncoder(dest, buf);
            try
            {
                var i = 0;
                foreach (var item in list)
                {
                    if(++i == 38)
                    {
                        Console.WriteLine();
                    }
                    if (!encoder.TryAdd(item))
                    {
                        Console.WriteLine("Failed to add");
                    }
                }
                var s = encoder.TryClose();
                Console.WriteLine(encoder.SizeInBytes);
                Span<int> nums = stackalloc int[256];
                var decoder = new PForDecoder(dest, nums);
                int index = 0;
                while (true)
                {
                    if(index == 464)
                    {
                        Console.WriteLine();
                    }
                    var cur = decoder.TryDecode();
                    if (cur.Length == 0)
                        break;
                    for (int j = 0; j < cur.Length; j++)
                    {
                        if (list[index++] != cur[j])
                        {
                            Console.WriteLine("Diff @ " + (index-1));
                            return;
                        }
                    }
                }
                Console.WriteLine(index == list.Length);
            }
            finally
            {
            }
        }
    }

    /* This integer encoder is using the following scheme for compression the data.
        * We enforce that the data is sent to us in order (and zero is not a valid option)
        * We record delta of deltas of the changes.
        * We assume that there are going to be patterns to the deltas, but it may not be as simple as 
          just the same delta between numbers.

        The format is composed of the following commands

            * 0b0                       - repeat last delta
            * 0b1[n:5 bits][x:4 bits]   - following x numbers with n bits with sign bit, negative numbers indicate back reference

            * 0b00                  - two zero bits - repeat last delta
            * 0b01[3 bits]          - where the 3 bits represents a reference to a previous delta
            * 0b10[6 bits]          - where the 6 bits represent the number of times to repeat the last delta
            * 0b110[1 - 4 bits]0    - where the xxx is the up to 4 conscutive 1 bits representing the number of bytes to read from the 
                                      stream to a new delta
            * 0b111                 - EOF marker
     */
    public unsafe ref struct IntegerEncoder
    {
        private readonly Span<byte> _output;
        private readonly int _maxNumOfBits;
        private int _previousValue;
        private int _bitPos;
        private int _previousDelta;
        private int _repeatedPreviousDelta;
        private const int PreviousDeltasLength = 8;
        private fixed int _previousDeltas[PreviousDeltasLength];

        public static readonly (int BitsForValue, uint ControlValue, int ControlValueBitLength, long MaxValueForEncoding)[] Encodings = {
            (BitsForValue: 7,  ControlValue: 0b10,   ControlValueBitLength: 2, MaxValueForEncoding: 1U << 6),
            (BitsForValue: 9,  ControlValue: 0b110,  ControlValueBitLength: 3, MaxValueForEncoding: 1U << 8),
            (BitsForValue: 12, ControlValue: 0b1110, ControlValueBitLength: 4, MaxValueForEncoding: 1U << 11),
            (BitsForValue: 32, ControlValue: 0b1111, ControlValueBitLength: 4, MaxValueForEncoding: 1U << 31)
        };

        public int Size => (_bitPos + 7) / 8;

        public IntegerEncoder(Span<byte> output)
        {
            _output = output;
            _previousValue = 0;
            _bitPos = 0;
            _maxNumOfBits = output.Length * 8;
            _previousDelta = 0;
            _repeatedPreviousDelta = 0;
        }


        public bool TryAdd(int value)
        {
            if (_previousValue >= value)
                throw new ArgumentOutOfRangeException($"The value {value} must be larger than the previous value for this encoding: {_previousValue}");

            int delta = (int)(value - _previousValue);
            var deltaOfDelta = delta - _previousDelta;
            _previousValue = value;
            if (deltaOfDelta == 0)
            {
                if (_repeatedPreviousDelta++ > 8)
                {
                    _bitPos -= 8;// go back 8 bits, which is the size that we have, and overwrite
                    var r = TryPushBits((ulong)(0b10_000_000 | _repeatedPreviousDelta), 8);
                    if (_repeatedPreviousDelta == 64)
                        _repeatedPreviousDelta = 0;
                    return r;
                }
                return TryPushBits(0, 2);
            }
            for (int i = 0; i < PreviousDeltasLength; i++) // try to find it from previous
            {
                if (_previousDeltas[i] == delta)
                {
                    return TryPushBits(0b01_000 & (ulong)i, 5);
                }
            }
            fixed (int* pPrev = _previousDeltas)
            {
                // move them all 1 step back
                var span = new Span<int>(pPrev, PreviousDeltasLength);
                span[1..].CopyTo(span);
            }

            _previousDeltas[PreviousDeltasLength - 1] = _previousDelta;
            _previousDelta = delta;

            // we are doing it this way to ensure that we are writing once, to avoid having temporary buffers
            uint zigzag = (uint)((deltaOfDelta << 1) ^ (deltaOfDelta >> 31));
            (int bits, ulong output) = (4 - BitOperations.LeadingZeroCount(zigzag) / 8) switch
            {
                1 => (8 + 5, 0b110____1_0UL << 8 | zigzag),
                2 => (16 + 6, 0b110___11_0UL << 16 | zigzag),
                3 => (24 + 7, 0b110__111_0UL << 24 | zigzag),
                4 => (32 + 8, 0b110_1111_0UL << 32 | zigzag),
                _ => throw new ArgumentOutOfRangeException("zigzag value has other than 4 bytes?! " + zigzag)
            };

            return TryPushBits(output, bits);
        }

        // see: 
        // https://github.com/facebookarchive/beringei/blob/75c3002b179d99c8709323d605e7d4b53484035c/beringei/lib/BitUtil.cpp#L17
        private bool TryPushBits(ulong value, int bitsInValue)
        {
            if (_bitPos + bitsInValue > _maxNumOfBits)
            {
                return false;
            }

            int bitsAvailable = (_bitPos & 0x7) != 0 ? (8 - (_bitPos & 0x7)) : 0;
            var bytePos = _bitPos / 8;
            _bitPos += bitsInValue;
            if (bitsInValue <= bitsAvailable)
            {
                // Everything fits inside the last byte
                _output[bytePos] += (byte)(value << (bitsAvailable - bitsInValue));
                return true;
            }

            int bitsLeft = bitsInValue;
            if (bitsAvailable > 0)
            {
                // Fill up the last byte
                _output[bytePos++] += (byte)(value >> (bitsInValue - bitsAvailable));
                bitsLeft -= bitsAvailable;
            }

            while (bitsLeft >= 8)
            {
                // Enough bits for a dedicated byte
                _output[bytePos++] = (byte)((value >> (bitsLeft - 8)) & 0xFF);
                bitsLeft -= 8;
            }

            if (bitsLeft != 0)
            {
                // Start a new byte with the rest of the bits
                _output[bytePos] += (byte)((value & ((1U << bitsLeft) - 1)) << (8 - bitsLeft));
            }
            return true;
        }

        public bool TryFlush(out int size)
        {
            var r = TryPushBits(0b11_11111ul, 7);
            size = (_bitPos + 7) / 8;
            return r;
        }
    }
}

using System;
using System.IO;

namespace ConsoleApp3
{
    public ref struct PForDecoder
    {
        private readonly Span<byte> _input;
        private int _bitPos, _maxBits;
        private int _prevValue;
        private readonly Span<int> _nums;

        public PForDecoder(Span<byte> input, Span<int> scratch)
        {
            _input = input;
            _bitPos = 0;
            _maxBits = input.Length * 8;
            _prevValue = 0;
            _nums = scratch.Slice(0, 256);
        }

        public Span<int> TryDecode()
        {
            var bits = Read(2);
            switch (bits)
            {
                case 0b00: // fixed header
                    bits = Read(8);
                    int numOfValues = (bits >> 5) switch
                    {
                        0b000 => 1,
                        0b001 => 32,
                        0b010 => 64,
                        0b011 => 128,
                        0b100 => 256,
                        _ => throw new ArgumentOutOfRangeException((bits >> 5) + " isn't a valid number of items for fixed header")
                    };
                    return ReadNumbers((int)(0x1F & bits),numOfValues);
                case 0b01: // variable size
                    bits = Read(13);
                    return ReadNumbers((int)(0x1F & bits), (int)(bits >> 5));
                case 0b10: // repeated header
                    bits = Read(13);
                    int numOfRepeatedValues = (int)(bits >> 5);
                    int numOfBits = (int)(0x1F & bits);
                    var repeatedDelta = (int)Read(numOfBits);
                    for (int i = 0; i < numOfRepeatedValues; i++)
                    {
                        _prevValue += repeatedDelta;
                        _nums[i] = _prevValue;
                    }
                    return _nums.Slice(0, numOfRepeatedValues);
                default:
                    throw new ArgumentOutOfRangeException(bits + " isn't a valid header marker");
            }
        }

        private Span<int> ReadNumbers(int numOfBits, int numOfValues)
        {
            if (numOfBits == 0)
                return Span<int>.Empty;
            for (int i = 0; i < numOfValues; i++)
            {
                var v = Read(numOfBits);
                _prevValue += (int)v;
                _nums[i] = _prevValue;
            }
            return _nums.Slice(0, numOfValues);
        }

        private ulong Read(int bitsToRead)
        {
            int end = _bitPos + bitsToRead;
            if (end > _maxBits)
                throw new EndOfStreamException();

            ulong value = 0; ;
            while (_bitPos < end)
            {
                value <<= 1;
                ulong bit = (ulong)((_input[_bitPos >> 3] >> (7 - (_bitPos & 0x7))) & 1);
                value += bit;
                _bitPos++;
            }
            return value;
        }
    }
}using System;
using System.Diagnostics;
using System.Numerics;

namespace ConsoleApp3
{
    /*
     * See Binary Packing (2.6) here: https://arxiv.org/pdf/1209.2137.pdf
     * for the baseline idea on the format. 
     * 
     * The output represent a bit stream with format that is a sequence of header | data pairs.
     * The header is defined as: 
     * 
     * * 0b00  (10 bits) - fixed header marker - followed by 3 bits value indicating the number of numbers following
     *                  * 0b000 - 1 value
     *                  * 0b001 - 32 values
     *                  * 0b010 - 64 values
     *                  * 0b011 - 128 values
     *                  * 0b100 - 256 values
     *            then 5 bits value (B bits per number)
     * * 0b01   (15 bits) - variable header marker - followed by 8 bits value (number of items) and 5 bits value (B bits per number)
     * * 0b10   (15 bits) - repeated header marker - followed by 8 bits value (number of repetitions) and 5 bits value (B bits per number) 
     * * 0b11   - reserved
     */
    public ref struct PForEncoder
    {
        public const int BufferLen = 256;

        private readonly Span<byte> _output;
        private int _bufPos, _bitPos;
        private int _maxNumOfBits;
        private readonly Span<uint> _deltasBuffer;
        private int _prev;
        private bool _first;

        public int SizeInBytes;

        public PForEncoder(Span<byte> output, Span<uint> scratchBuffer)
        {
            _output = output;
            _bufPos = 0;
            _bitPos = 0;
            _maxNumOfBits = output.Length * 8;
            _prev = 0;
            _first = true;
            SizeInBytes = -1;
            _deltasBuffer = scratchBuffer.Slice(0, BufferLen);
        }

        public bool TryAdd(int value)
        {
            if (value < 0)
                throw new ArgumentOutOfRangeException();
            if (!_first && _prev > value)
                throw new ArgumentOutOfRangeException();

            if (_first)
            {
                _deltasBuffer[_bufPos++] = (uint)value;
                _prev = value;
                _first = false;
                return TryFlush();
            }

            if (_bufPos < BufferLen)
            {
                var diff = value - _prev;
                _prev = value;
                _deltasBuffer[_bufPos++] = (uint)diff;
                return true;
            }
            if (TryFlush() == false)
                return false;
            return TryAdd(value);
        }

        public bool TryClose()
        {
            var result = TryFlush() && TryPushBits(0, 10);
            SizeInBytes = (_bitPos + 7) / 8;
            _bitPos = int.MaxValue;
            return result;
        }

        private bool TryFlush(Span<uint> buffer)
        {
            if (buffer.Length == 0)
                return true;
            if (buffer.Length == 1)
            {
                var bits = 32 - BitOperations.LeadingZeroCount(buffer[0]);
                Debug.Assert(bits < 32); // we never encode 0
                ulong header = 0b00_000_00000ul | (uint)bits;
                return TryPushBits(header, 10) && TryPushBits(buffer[0], bits);
            }
            var (maxBits, identicalPrefix) = Analyze(buffer);
            Debug.Assert(identicalPrefix <= 256);
            if (identicalPrefix > 5) // enough to warrant a repeating header to save space
            {
                ulong header = 0b10_00000000_00000ul | (uint)identicalPrefix << 5 | (uint)maxBits;
                if (TryPushBits(header, 15) == false ||
                    TryPushBits(buffer[0], maxBits) == false)
                    return false;
                return TryFlush(buffer.Slice(identicalPrefix));
            }
            ulong fixedSizeMarker = buffer.Length switch
            {
                32 => 0b001,
                64 => 0b010,
                128 => 0b011,
                256 => 0b100,
                _ => 0
            };
            if (fixedSizeMarker != 0)
            {
                var half = buffer.Length / 2;
                // now need to figure out optimal partitioning scheme
                int first = MaxBits(buffer.Slice(0, half)),
                    second = MaxBits(buffer.Slice(half));
                if (first != second) // better to output them as two segments, then
                {
                    return TryFlush(buffer.Slice(0, half)) &&
                        TryFlush(buffer.Slice(half));
                }
                ulong header = 0b00_000_00000ul | fixedSizeMarker << 5 | (uint)maxBits;
                if (TryPushBits(header, 10) == false)
                    return false;
                return TryPushValues(buffer, maxBits);
            }
            else
            {
                ulong header = 0b01_0000_0000_00000ul | (ulong)(buffer.Length) << 5 | (uint)maxBits;
                if (TryPushBits(header, 15) == false)
                    return false;
                return TryPushValues(buffer, maxBits);
            }
        }

        private bool TryPushValues(Span<uint> buffer, int maxBits)
        {
            for (int i = 0; i < buffer.Length; i++)
            {
                if (TryPushBits(buffer[i], maxBits) == false)
                {
                    return false;
                }
            }
            return true;
        }

        public bool TryFlush()
        {
            var oldPos = _bufPos;
            _bufPos = 0;
            return TryFlush(_deltasBuffer.Slice(0, oldPos));
        }

        private static int MaxBits(Span<uint> buffer)
        {
            uint mask = 0;
            for (int i = 0; i < buffer.Length; i++)
            {
                mask |= buffer[i];
            }
            var maxBits = 32 - BitOperations.LeadingZeroCount(mask);
            Debug.Assert(maxBits < 32); // we never encode 0
            return maxBits;
        }

        private static (int MaxNumberOfBits, int IdenticalPrefixLegnth) Analyze(Span<uint> buffer)
        {
            uint mask = buffer[0];
            int identicalPrefix = 1;
            bool identical = true;
            for (int i = 1; i < buffer.Length; i++)
            {
                mask |= buffer[i];
                if (identical)
                {
                    if (buffer[i] == buffer[0])
                    {
                        identicalPrefix++;
                    }
                    else
                    {
                        identical = false;
                    }
                }
            }
            var maxBits = 32 - BitOperations.LeadingZeroCount(mask);
            Debug.Assert(maxBits < 32); // we never encode 0
            return (maxBits, identicalPrefix);
        }

        // see: 
        // https://github.com/facebookarchive/beringei/blob/75c3002b179d99c8709323d605e7d4b53484035c/beringei/lib/BitUtil.cpp#L17
        public bool TryPushBits(ulong value, int bitsInValue)
        {
            if (_bitPos + bitsInValue > _maxNumOfBits)
            {
                return false;
            }

            int bitsAvailable = (_bitPos & 0x7) != 0 ? (8 - (_bitPos & 0x7)) : 0;
            var bytePos = _bitPos / 8;
            _bitPos += bitsInValue;
            if (bitsInValue <= bitsAvailable)
            {
                // Everything fits inside the last byte
                _output[bytePos] += (byte)(value << (bitsAvailable - bitsInValue));
                return true;
            }

            int bitsLeft = bitsInValue;
            if (bitsAvailable > 0)
            {
                // Fill up the last byte
                _output[bytePos] += (byte)(value >> (bitsInValue - bitsAvailable));
                bitsLeft -= bitsAvailable;
                bytePos++;
            }

            while (bitsLeft >= 8)
            {
                // Enough bits for a dedicated byte
                _output[bytePos] = (byte)((value >> (bitsLeft - 8)) & 0xFF);
                bitsLeft -= 8;
                bytePos++;
            }

            if (bitsLeft != 0)
            {
                // Start a new byte with the rest of the bits
                _output[bytePos] += (byte)((value & ((1U << bitsLeft) - 1)) << (8 - bitsLeft));
            }
            return true;
        }
    }
}

Program.cs

using System;
using System.Linq;
using System.Numerics;

namespace ConsoleApp3
{
    class Program
    {
        unsafe static void Main(string[] args)
        {
            var list = new int[] { 55394368, 55395082, 55395732, 55396483, 55397200, 55397901, 55398608, 55399311, 55399984, 55400678, 55401382, 55402560, 55403228, 55403972, 55404652, 55405381, 55406115, 55406337, 55406552, 55406750, 55407003, 55407263, 55407497, 55407691, 55407880, 55408031, 55408304, 55408543, 55408733, 55408973, 55409183, 55409444, 55409660, 55409887, 55410126, 55410324, 55410752, 55411034, 55411280, 55411473, 55411704, 55411962, 55412207, 55412468, 55412668, 55412862, 55413173, 55413443, 55413634, 55413909, 55414143, 55414392, 55414613, 55414889, 55415101, 55415302, 55415599, 55415853, 55416124, 55416387, 55416609, 55416859, 55417124, 55417331, 55417582, 55417740, 55417862, 55418035, 55418246, 55418414, 55418600, 55418944, 55419184, 55419380, 55419599, 55419817, 55420044, 55420335, 55420601, 55420828, 55421088, 55421335, 55421573, 55421722, 55421921, 55422189, 55422444, 55422638, 55422856, 55423078, 55423358, 55423557, 55423804, 55424063, 55424276, 55424512, 55424710, 55424975, 55425188, 55425302, 55425549, 55425706, 55425922, 55426165, 55426505, 55426745, 55427136, 55427366, 55427599, 55427812, 55428007, 55428253, 55428511, 55428799, 55428962, 55429249, 55429471, 55429702, 55429918, 55430178, 55430455, 55430775, 55430970, 55431249, 55431450, 55431733, 55431924, 55432182, 55432421, 55432655, 55432902, 55433126, 55433411, 55433583, 55433734, 55434007, 55434282, 55434515, 55434768, 55434977, 55435328, 55435559, 55435821, 55436111, 55436304, 55436537, 55436852, 55437073, 55437358, 55437596, 55437866, 55438111, 55438362, 55438602, 55438834, 55439064, 55439317, 55439553, 55439810, 55440111, 55440381, 55440633, 55440881, 55441113, 55441386, 55441602, 55441840, 55442057, 55442288, 55442502, 55442766, 55442999, 55443520, 55443819, 55444079, 55444310, 55444539, 55444802, 55445055, 55445328, 55445557, 55445786, 55445957, 55446236, 55446471, 55446727, 55446945, 55447202, 55447441, 55447709, 55447905, 55448145, 55448377, 55448628, 55448844, 55449013, 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            //var list = new int[] { 13811776, 13812695, 13813617, 13814688, 13815756, 13819968, 18268160, 18276352, 13822568, 13828160, 13830625, 13833063, 13833930, 13834799, 13836352, 13837305, 13839762, 13841440, 13844544, 13846586, 13846834, 13847104, 13847351, 13847622, 13849479, 13852736, 13854499, 13856287, 13857920, 13860928, 13863416, 13865928, 13869120, 13870858, 13872682, 13874518, 13877312, 13879990, 13882104, 13885504, 13887155, 13888816, 13890227, 13891652, 13892397, 13893696, 13895128, 13896576, 13896838, 13897111, 13898997, 13901888, 13905115, 13910080, 13911797, 13913523, 13918272, 13921158, 13921496, 13921845, 13922914, 13924008, 13924257, 13924531, 13924779, 13926464, 13928107, 13929775, 13930152, 13930552, 13930919, 18300992, 18303407, 18305425, 18307449, 18307739, 18309184, 18310415, 18311672, 18311910, 18312171, 18313795, 18315444, 18315711, 18317376, 18319039, 18320664, 18320920, 18321315, 18322465, 18325568, 18327540, 18329470, 18333760, 18336313, 18336583, 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54522805, 54523150, 54523452, 54523820, 54524078, 54524359, 54524647, 54524929, 54525188, 54525467, 54526016, 54526361, 54526666, 54527035, 54527294, 54527574, 54527862, 54528145, 54528403, 54528683, 54529016, 54529361, 54529664, 54530032, 54530389, 54530646, 54530927, 54531214, 54531495, 54531751, 54532026, 54532284, 54532564, 54532849, 54533131, 54533388, 54533667, 54534208, 54534579, 54534848, 54535136, 54535399, 54535686, 54535944, 54536224, 54536510, 54536790, 54537049, 54537331, 54537634, 54537999, 54538258, 54538538, 54538822, 54539102, 54539360, 54539641, 54539945, 54540313, 54540572, 54540853, 54541137, 54541417, 54541676, 54541956, 54542400, 54542764, 54543023, 54543303, 54543588, 54543867, 54544125, 54544406, 54544707, 54545073, 54545329, 54545609, 54545894, 54546173, 54546431, 54546711, 54547014, 54547380, 54547639, 54547920, 54548203, 54548483, 54548742, 54549023, 54549326, 54549689, 54549951, 54550235, 54550592, 54550889, 54551283, 54551672, 54552005, 54552401, 54553098, 54553354, 54553636, 54553921, 54554202, 54554461, 54554742, 54554998, 54555279, 54555562, 54555842, 54556101, 54556383, 54556642, 54556918, 54557196, 54557472, 54557728, 54558006, 54558261, 54558784, 54559066, 54559345, 54559601, 54559878, 54560134, 54560411, 54560692, 54560969, 54561224, 54561502, 54561758, 54562037, 54562320, 54562597, 54562853, 54563130, 54563386, 54563667, 54563952, 54564233, 54564492, 54564773, 54565033, 54565315, 54565599, 54565878, 54566138, 54566420, 54566976, 54567258, 54567517, 54567799, 54568085, 54568365, 54568648, 54568928, 54569186, 54569467, 54569726, 54570006, 54570263, 54570544, 54570803, 54571083, 54571369, 54571648, 54571906, 54572188, 54572447, 54572727, 54572986, 54573269, 54573527, 54573808, 54574068, 54574349, 54574609, 54575168, 54575454, 54575735, 54575993, 54576275, 54576535, 54576817, 54577102, 54577380, 54577640, 54577922, 54578181, 54578461, 54578745, 54579026, 54579285, 54579566, 54579901, 54580245, 54580577, 54580919, 54581253, 54581599, 54581932, 54582277, 54582611, 54582955, 54583360, 54583703, 54584036, 54584381, 54584715, 54585060, 54585391, 54585734, 54586067, 54586412, 54586746, 54587090, 54587423, 54587767, 54588100, 54588443, 54588777, 54589123, 54589459, 54589806, 54590140, 54590484, 54590817, 54591162, 54591552, 54591843, 54592122, 54592454, 54592735, 54593065, 54593346, 54593677, 54593957, 54594248, 54594552, 54594919, 54595223, 54595587, 54595891, 54596258, 54596562, 54596928, 54597233, 54597602, 54597907, 54598274, 54598577, 54598943, 54599247, 54599744, 54600048, 54600413, 54600717, 54601086, 54601390, 54601756, 54602058, 54602422, 54602725, 54603091, 54603396, 54603762, 54604066, 54604433, 54604738, 54605106, 54605410, 54605778, 54606083, 54606449, 54606754, 54607121, 54607425, 54607936, 54608240, 54608606, 54608910, 54609279, 54609583, 54609946, 54610237, 54610605, 54610897, 54611266, 54611556, 54611925, 54612216, 54612585, 54612876, 54613245, 54613535, 54613902, 54614192, 54614562, 54614854, 54615221, 54615511, 54616128, 54616420, 54616787, 54617078, 54617446, 54617737, 54618105, 54618396, 54618763, 54619053, 54619419, 54619709, 54620075, 54620366, 54620728, 54621019, 54621385, 54621677, 54622043, 54622331, 54622695, 54622984, 54623348, 54623638, 54624320, 54624609, 54624976, 54625265, 54625630, 54625921, 54626289, 54626580, 54626948, 54627238, 54627602, 54627893, 54628258, 54628549, 54628914, 54629205, 54629573, 54629863, 54630229, 54630520, 54630886, 54631176, 54631539, 54631829, 54632512, 54632805, 54633170, 54633457, 54633824, 54634116, 54634483, 54634772, 54635142, 54635433, 54635801, 54636090, 54636456, 54636748, 54637115, 54637407, 54637771, 54638063, 54638425, 54638684, 54638966, 54639249, 54639530, 54639791, 54640074, 54640333, 54640704, 54640989, 54641272, 54641532, 54641814, 54642073, 54642355, 54642640, 54642922, 54643182, 54643463, 54643722, 54644001, 54644286, 54644567, 54644825, 54645107, 54645367, 54645649, 54645934, 54646214, 54646473, 54646753, 54647012, 54647293, 54647550, 54647829, 54648114, 54648393, 54648896, 54649177, 54649434, 54649712, 54649997, 54650278, 54650534, 54650814, 54651070, 54651351, 54651638, 54651918, 54652173, 54652453, 54652712, 54652993, 54653273, 54653554, 54653812, 54654094, 54654354, 54654635, 54654920, 54655202, 54655460, 54655742, 54655999, 54656279, 54656565, 54657088, 54657347, 54657624, 54657882, 54658160, 54658445, 54658727, 54658986, 54659267, 54659526, 54659806, 54660065, 54660345, 54660604, 54660886, 54661170, 54661450, 54661707, 54661987, 54662245, 54662525, 54662810, 54663090, 54663348, 54663626, 54663885, 54664166, 54664422, 54664702, 54665280, 54665559, 54665840, 54666118, 54666376, 54666657, 54666915, 54667194, 54667451, 54667731, 54668015, 54668296, 54668554, 54668833, 54669092, 54669375, 54669634, 54669914, 54670197, 54670478, 54670738, 54671019, 54671277, 54671557, 54671840, 54672122, 54672405, 54672687, 54672945, 54673472, 54673731, 54674013, 54674271, 54674550, 54674835, 54675115, 54675372, 54675654, 54681664, 54684673, 54689856, 54693855, 54698048, 54700875, 54706240, 54709838, 54714432, 55017472, 54717814, 54722624, 54726644, 54730816, 54734046, 54739008, 54742047, 54747200, 54751230, 54755392, 54757868, 54763584, 54766800, 55025664, 54771776, 54774774, 54779968, 54782560, 54785825, 54786102, 54786361, 54786645, 54786925, 54787183, 54787464, 54788160, 54788494, 54788772, 54789062, 54789365, 54789723, 54790080, 54790346, 54790635, 54790931, 54791217, 54791504, 54791800, 54792085, 54792380, 54793139, 54793910, 54794195, 54794490, 54794775, 54795069, 54795354, 54795650, 54795934, 54796352, 54796730, 54797015, 54797310, 54797595, 54797890, 54798173, 54798468, 54798754, 54799048, 54799333, 54799627, 54799913, 54800207, 54800492, 54800788, 54801072, 54801367, 54801653, 54801949, 54802244, 54802528, 54802814, 54803108, 54803394, 54803691, 54803977, 54804544, 54804830, 54805125, 54805411, 54805705, 54805991, 54806287, 54806573, 54806869, 54807226, 54807518, 54807800, 54808083, 54808375, 54808655, 54808946, 54809207, 54809491, 54809759, 54810037, 54810324, 54810621, 54810915, 54811199, 54811481, 54811773, 54812070, 54812357, 54812736, 54813030, 54813317, 54813614, 54813911, 54814198, 54814479, 54814771, 54815059, 54815356, 54815651, 54815936, 54816232, 54816518, 54816813, 54817099, 54817397, 54817685, 54817971, 54818265, 54818552, 54818848, 54819135, 54819431, 54819714, 54820007, 54820302, 54820928, 54821225, 54821512, 54821795, 54822088, 54822375, 54822672, 54822959, 54823256, 54823538, 54823831, 54824194, 54824490, 54824777, 54825063, 54825360, 54825655, 54825941, 54826237, 54826522, 54826807, 54827102, 54827389, 54827686, 54827980, 54828265, 54828551, 54829120, 54829406, 54829701, 54829979, 54830237, 54830520, 54830805, 54831066, 54831403, 54831752, 54832087, 54832433, 54832727, 54833034, 54833339, 54833621, 54833978, 54834338, 54834696, 54834981, 54835243, 54835528, 54835811, 54836073, 54836420, 54836756, 54837312, 54837618, 54837924, 54838208, 54838469, 54838752, 54839035, 54839296, 54839645, 54839982, 54840273, 54840576, 54840862, 54841221, 54841581, 54841942, 54842225, 54842583, 54842940, 54843225, 54843488, 54843771, 54844055, 54844316, 54844578, 54844861, 54845504, 54845852, 54846146, 54846450, 54846755, 54847115, 54847476, 54847838, 54848148, 54848432, 54848718, 54849029, 54849390, 54849678, 54849990, 54850299, 54850585, 54850868, 54851128, 54851412, 54851692, 54851975, 54852259, 54852521, 54852806, 54853068, 54853696, 54853982, 54854292, 54854579, 54854889, 54855176, 54855485, 54855821, 54856169, 54856454, 54856765, 54857058, 54857363, 54857652, 54857962, 54858246, 54858612, 54858977, 54859260, 54859519, 54859803, 54860085, 54860346, 54860630, 54860966, 54861314, 54861888, 54862179, 54862485, 54862848, 54863215, 54863499, 54863761, 54864044, 54864328, 54864590, 54864926, 54865274, 54865618, 54865951, 54866243, 54866547, 54866829, 54867191, 54867553, 54867814, 54868074, 54868383, 54868671, 54868981, 54869271, 54869583, 54870080, 54870367, 54870681, 54870973, 54871254, 54871515, 54871794, 54872077, 54872358, 54872619, 54872902, 54873185, 54873490, 54873776, 54874078, 54874391, 54874695, 54875005, 54875294, 54875606, 54875888, 54876150, 54876430, 54876710, 54876968, 54877257, 54877569, 54877849, 54878272, 54878609, 54878942, 54879285, 54879579, 54879863, 54880158, 54880449, 54880731, 54881011, 54881322, 54881610, 54881892, 54882153, 54882434, 54882718, 54882978, 54883260, 54883523, 54883858, 54884206, 54884498, 54884802, 54885088, 54885396, 54885679, 54885985, 54886464, 54886740, 54886996, 54887275, 54887532, 54887811, 54888090, 54888347, 54888628, 54888908, 54889165, 54889423, 54889701, 54890061, 54890422, 54890747, 54891068, 54891347, 54891709, 54892068, 54892344, 54892601, 54892881, 54893138, 54893418, 54893700, 54894006, 54894656, 54894963, 54895244, 54895547, 54895832, 54896139, 54896425, 54896733, 54897063, 54897405, 54897680, 54897981, 54898265, 54898570, 54898868, 54899176, 54899460, 54899767, 54900051, 54900346, 54900632, 54900929, 54901189, 54901471, 54901753, 54902036, 54902298, 54902848, 54903157, 54903441, 54903744, 54904025, 54904285, 54904568, 54904847, 54905127, 54905388, 54905671, 54905932, 54906215, 54906476, 54906760, 54907093, 54907437, 54907721, 54908028, 54908318, 54908623, 54908908, 54909215, 54909501, 54909811, 54910147, 54910495, 54911040, 54911322, 54911604, 54911967, 54912332, 54912593, 54912851, 54913137, 54913446, 54913731, 54914024, 54914308, 54914617, 54914877, 54915159, 54915441, 54915722, 54915981, 54916267, 54916575, 54916862, 54917171, 54917432, 54917715, 54917996, 54918280, 54918541, 54918826, 54919232, 54919490, 54919768, 54920049, 54920331, 54920590, 54920873, 54921178, 54921513, 54921857, 54922143, 54922451, 54922732, 54923012, 54923290, 54923594, 54923881, 54924190, 54924523, 54924868, 54925176, 54925461, 54925809, 54926144, 54926438, 54926723, 54927006, 54927424, 54927716, 54928021, 54928326, 54928630, 54928911, 54929193, 54929477, 54929805, 54930133, 54930498, 54930823, 54931181, 54931543, 54931906, 54932271, 54932530, 54932811, 54933115, 54933376, 54933660, 54933942, 54934222, 54934483, 54934767, 54935048, 54935616, 54935961, 54936242, 54936502, 54936785, 54937066, 54937327, 54937608, 54937945, 54938293, 54938588, 54938875, 54939159, 54939453, 54939746, 54940051, 54940416, 54940782, 54941068, 54941380, 54941665, 54941973, 54942258, 54942565, 54942874, 54943158, 54943808, 54944118, 54944400, 54944709, 54944989, 54945294, 54945584, 54945864, 54946147, 54946453, 54946710, 54946990, 54947269, 54947548, 54947804, 54948082, 54948421, 54948751, 54949028, 54949331, 54949644, 54949946, 54950257, 54950559, 54950869, 54951155, 54951464, 54952000, 54952308, 54952614, 54952899, 54953184, 54953491, 54954081, 54954391 };
            Array.Sort(list);

            Span<byte> dest = stackalloc byte[1024 * 128];

            Span<uint> buf = stackalloc uint[256];
            var encoder = new PForEncoder(dest, buf);
            try
            {
                var i = 0;
                foreach (var item in list)
                {
                    if(++i == 38)
                    {
                        Console.WriteLine();
                    }
                    if (!encoder.TryAdd(item))
                    {
                        Console.WriteLine("Failed to add");
                    }
                }
                var s = encoder.TryClose();
                Console.WriteLine(encoder.SizeInBytes);
                Span<int> nums = stackalloc int[256];
                var decoder = new PForDecoder(dest, nums);
                int index = 0;
                while (true)
                {
                    if(index == 464)
                    {
                        Console.WriteLine();
                    }
                    var cur = decoder.TryDecode();
                    if (cur.Length == 0)
                        break;
                    for (int j = 0; j < cur.Length; j++)
                    {
                        if (list[index++] != cur[j])
                        {
                            Console.WriteLine("Diff @ " + (index-1));
                            return;
                        }
                    }
                }
                Console.WriteLine(index == list.Length);
            }
            finally
            {
            }
        }
    }

    /* This integer encoder is using the following scheme for compression the data.
        * We enforce that the data is sent to us in order (and zero is not a valid option)
        * We record delta of deltas of the changes.
        * We assume that there are going to be patterns to the deltas, but it may not be as simple as 
          just the same delta between numbers.

        The format is composed of the following commands

            * 0b0                       - repeat last delta
            * 0b1[n:5 bits][x:4 bits]   - following x numbers with n bits with sign bit, negative numbers indicate back reference

            * 0b00                  - two zero bits - repeat last delta
            * 0b01[3 bits]          - where the 3 bits represents a reference to a previous delta
            * 0b10[6 bits]          - where the 6 bits represent the number of times to repeat the last delta
            * 0b110[1 - 4 bits]0    - where the xxx is the up to 4 conscutive 1 bits representing the number of bytes to read from the 
                                      stream to a new delta
            * 0b111                 - EOF marker
     */
    public unsafe ref struct IntegerEncoder
    {
        private readonly Span<byte> _output;
        private readonly int _maxNumOfBits;
        private int _previousValue;
        private int _bitPos;
        private int _previousDelta;
        private int _repeatedPreviousDelta;
        private const int PreviousDeltasLength = 8;
        private fixed int _previousDeltas[PreviousDeltasLength];

        public static readonly (int BitsForValue, uint ControlValue, int ControlValueBitLength, long MaxValueForEncoding)[] Encodings = {
            (BitsForValue: 7,  ControlValue: 0b10,   ControlValueBitLength: 2, MaxValueForEncoding: 1U << 6),
            (BitsForValue: 9,  ControlValue: 0b110,  ControlValueBitLength: 3, MaxValueForEncoding: 1U << 8),
            (BitsForValue: 12, ControlValue: 0b1110, ControlValueBitLength: 4, MaxValueForEncoding: 1U << 11),
            (BitsForValue: 32, ControlValue: 0b1111, ControlValueBitLength: 4, MaxValueForEncoding: 1U << 31)
        };

        public int Size => (_bitPos + 7) / 8;

        public IntegerEncoder(Span<byte> output)
        {
            _output = output;
            _previousValue = 0;
            _bitPos = 0;
            _maxNumOfBits = output.Length * 8;
            _previousDelta = 0;
            _repeatedPreviousDelta = 0;
        }


        public bool TryAdd(int value)
        {
            if (_previousValue >= value)
                throw new ArgumentOutOfRangeException($"The value {value} must be larger than the previous value for this encoding: {_previousValue}");

            int delta = (int)(value - _previousValue);
            var deltaOfDelta = delta - _previousDelta;
            _previousValue = value;
            if (deltaOfDelta == 0)
            {
                if (_repeatedPreviousDelta++ > 8)
                {
                    _bitPos -= 8;// go back 8 bits, which is the size that we have, and overwrite
                    var r = TryPushBits((ulong)(0b10_000_000 | _repeatedPreviousDelta), 8);
                    if (_repeatedPreviousDelta == 64)
                        _repeatedPreviousDelta = 0;
                    return r;
                }
                return TryPushBits(0, 2);
            }
            for (int i = 0; i < PreviousDeltasLength; i++) // try to find it from previous
            {
                if (_previousDeltas[i] == delta)
                {
                    return TryPushBits(0b01_000 & (ulong)i, 5);
                }
            }
            fixed (int* pPrev = _previousDeltas)
            {
                // move them all 1 step back
                var span = new Span<int>(pPrev, PreviousDeltasLength);
                span[1..].CopyTo(span);
            }

            _previousDeltas[PreviousDeltasLength - 1] = _previousDelta;
            _previousDelta = delta;

            // we are doing it this way to ensure that we are writing once, to avoid having temporary buffers
            uint zigzag = (uint)((deltaOfDelta << 1) ^ (deltaOfDelta >> 31));
            (int bits, ulong output) = (4 - BitOperations.LeadingZeroCount(zigzag) / 8) switch
            {
                1 => (8 + 5, 0b110____1_0UL << 8 | zigzag),
                2 => (16 + 6, 0b110___11_0UL << 16 | zigzag),
                3 => (24 + 7, 0b110__111_0UL << 24 | zigzag),
                4 => (32 + 8, 0b110_1111_0UL << 32 | zigzag),
                _ => throw new ArgumentOutOfRangeException("zigzag value has other than 4 bytes?! " + zigzag)
            };

            return TryPushBits(output, bits);
        }

        // see: 
        // https://github.com/facebookarchive/beringei/blob/75c3002b179d99c8709323d605e7d4b53484035c/beringei/lib/BitUtil.cpp#L17
        private bool TryPushBits(ulong value, int bitsInValue)
        {
            if (_bitPos + bitsInValue > _maxNumOfBits)
            {
                return false;
            }

            int bitsAvailable = (_bitPos & 0x7) != 0 ? (8 - (_bitPos & 0x7)) : 0;
            var bytePos = _bitPos / 8;
            _bitPos += bitsInValue;
            if (bitsInValue <= bitsAvailable)
            {
                // Everything fits inside the last byte
                _output[bytePos] += (byte)(value << (bitsAvailable - bitsInValue));
                return true;
            }

            int bitsLeft = bitsInValue;
            if (bitsAvailable > 0)
            {
                // Fill up the last byte
                _output[bytePos++] += (byte)(value >> (bitsInValue - bitsAvailable));
                bitsLeft -= bitsAvailable;
            }

            while (bitsLeft >= 8)
            {
                // Enough bits for a dedicated byte
                _output[bytePos++] = (byte)((value >> (bitsLeft - 8)) & 0xFF);
                bitsLeft -= 8;
            }

            if (bitsLeft != 0)
            {
                // Start a new byte with the rest of the bits
                _output[bytePos] += (byte)((value & ((1U << bitsLeft) - 1)) << (8 - bitsLeft));
            }
            return true;
        }

        public bool TryFlush(out int size)
        {
            var r = TryPushBits(0b11_11111ul, 7);
            size = (_bitPos + 7) / 8;
            return r;
        }
    }
}