//
#r "nuget: CommunityToolkit.Common"
#r "nuget: CommunityToolkit.Diagnostics"
#r "nuget: CommunityToolkit.HighPerformance"
#r "nuget: FastGenericNew"
#r "nuget: JetBrains.Annotations"
#r "nuget: TextCopy"
#pragma warning disable CS0208
#define NET8_0
#define NET80
#define NET8_0_OR_GREATER
#define NET80_OR_GREATER
#define NET7_0_OR_GREATER
#define NET70_OR_GREATER
#define NET6_0_OR_GREATER
#define NET60_OR_GREATER
#define NET5_0_OR_GREATER
#define NET50_OR_GREATER
#define NETCOREAPP
#define NETSTANDARD2_1_OR_GREATER
#define NETSTANDARD2_0_OR_GREATER
#define NETSTANDARD1_6_OR_GREATER
#define NETSTANDARD1_5_OR_GREATER
#define NETSTANDARD1_4_OR_GREATER
#define NETSTANDARD1_3_OR_GREATER
#define NETSTANDARD1_2_OR_GREATER
#define NETSTANDARD1_1_OR_GREATER
#define NETSTANDARD1_0_OR_GREATER
#define NETSTANDARD
#define NO_ALLOWS_REF_STRUCT
#define CSHARPREPL
#define DEBUG
global using System;
global using System.Buffers;
global using System.Buffers.Binary;
global using System.Buffers.Text;
global using System.CodeDom.Compiler;
global using System.Collections;
global using System.Collections.Concurrent;
global using System.Collections.Frozen;
global using System.Collections.Generic;
global using System.Collections.Immutable;
global using System.Collections.ObjectModel;
global using System.Collections.Specialized;
global using System.ComponentModel;
global using System.ComponentModel.Design;
global using System.ComponentModel.Design.Serialization;
global using System.Configuration.Assemblies;
global using System.Data;
global using System.Data.Common;
global using System.Data.SqlTypes;
global using System.Diagnostics;
global using System.Diagnostics.CodeAnalysis;
global using System.Diagnostics.Contracts;
global using System.Diagnostics.Eventing;
global using System.Diagnostics.Eventing.Reader;
global using System.Diagnostics.Metrics;
global using System.Diagnostics.SymbolStore;
global using System.Diagnostics.Tracing;
global using System.Drawing;
global using System.Drawing.Configuration;
global using System.Dynamic;
global using System.Formats;
global using System.Formats.Asn1;
global using System.Globalization;
global using System.IO;
global using System.IO.Compression;
global using System.IO.Enumeration;
global using System.IO.IsolatedStorage;
global using System.IO.MemoryMappedFiles;
global using System.IO.Pipes;
global using System.Linq;
global using System.Linq.Expressions;
global using System.Linq.Expressions.Interpreter;
global using System.Net;
global using System.Net.Cache;
global using System.Net.Http;
global using System.Net.Http.Headers;
global using System.Net.Http.Metrics;
global using System.Net.Mail;
global using System.Net.Mime;
global using System.Net.NetworkInformation;
global using System.Net.Security;
global using System.Net.Sockets;
global using System.Net.WebSockets;
global using System.Numerics;
global using System.Reflection;
global using System.Reflection.Emit;
global using System.Reflection.Metadata;
global using System.Reflection.Metadata.Ecma335;
global using System.Reflection.PortableExecutable;
global using System.Resources;
global using System.Runtime;
global using System.Runtime.CompilerServices;
global using System.Runtime.ConstrainedExecution;
global using System.Runtime.ExceptionServices;
global using System.Runtime.InteropServices;
global using System.Runtime.InteropServices.ComTypes;
global using System.Runtime.InteropServices.Marshalling;
global using System.Runtime.InteropServices.ObjectiveC;
global using System.Runtime.Intrinsics;
global using System.Runtime.Intrinsics.Arm;
global using System.Runtime.Intrinsics.Wasm;
global using System.Runtime.Intrinsics.X86;
global using System.Runtime.Loader;
global using System.Runtime.Remoting;
global using System.Runtime.Serialization;
global using System.Runtime.Serialization.Formatters;
global using System.Runtime.Serialization.Formatters.Binary;
global using System.Runtime.Serialization.Json;
global using System.Runtime.Versioning;
global using System.Security;
global using System.Security.Authentication;
global using System.Security.Authentication.ExtendedProtection;
global using System.Security.Claims;
global using System.Security.Cryptography;
global using System.Security.Cryptography.Pkcs;
global using System.Security.Cryptography.X509Certificates;
global using System.Security.Permissions;
global using System.Security.Principal;
global using System.Text;
global using System.Text.Encodings;
global using System.Text.Encodings.Web;
global using System.Text.Json;
global using System.Text.Json.Nodes;
global using System.Text.Json.Serialization;
global using System.Text.Json.Serialization.Metadata;
global using System.Text.RegularExpressions;
global using System.Text.Unicode;
global using System.Threading;
global using System.Threading.Channels;
global using System.Threading.Tasks;
global using System.Threading.Tasks.Sources;
global using System.Timers;
global using System.Transactions;
global using System.Web;
global using System.Windows;
global using System.Windows.Input;
global using System.Windows.Markup;
global using System.Xml;
global using System.Xml.Linq;
global using System.Xml.Resolvers;
global using System.Xml.Schema;
global using System.Xml.Serialization;
global using System.Xml.XPath;
global using System.Xml.Xsl;
global using System.Xml.Xsl.Runtime;
global using CommunityToolkit.Common;
global using CommunityToolkit.Common.Collections;
global using CommunityToolkit.Common.Deferred;
global using CommunityToolkit.Common.Extensions;
global using CommunityToolkit.Common.Helpers;
global using CommunityToolkit.Diagnostics;
global using CommunityToolkit.Helpers;
global using CommunityToolkit.HighPerformance;
global using CommunityToolkit.HighPerformance.Buffers;
global using CommunityToolkit.HighPerformance.Buffers.Views;
global using CommunityToolkit.HighPerformance.Enumerables;
global using CommunityToolkit.HighPerformance.Helpers;
global using CommunityToolkit.HighPerformance.Memory;
global using CommunityToolkit.HighPerformance.Memory.Views;
global using CommunityToolkit.HighPerformance.Streams;
global using FastGenericNew;
global using JetBrains.Annotations;
global using TextCopy;
global using static FastGenericNew.FastNew;
global using static TextCopy.ClipboardService;
global using ComptimeString = System.Buffers.SearchValues;
global using DisallowNullAttribute = System.Diagnostics.CodeAnalysis.DisallowNullAttribute;
global using Expression = System.Linq.Expressions.Expression;
global using PureAttribute = System.Diagnostics.Contracts.PureAttribute;
global using GeneratedSource = (string HintName, string Source);
using static System.Runtime.CompilerServices.RuntimeHelpers;
using static JetBrains.Annotations.CollectionAccessType;
using static JetBrains.Annotations.CollectionAccessType;
using static JetBrains.Annotations.CollectionAccessType;
using static JetBrains.Annotations.CollectionAccessType;
using static JetBrains.Annotations.CollectionAccessType;
using static JetBrains.Annotations.CollectionAccessType;
using SecurityAction = System.Security.Permissions.SecurityAction;
using static System.Security.Permissions.SecurityAction;
using static System.Security.Permissions.SecurityPermissionFlag;
using Buffer = System.Buffer;
using static JetBrains.Annotations.CollectionAccessType;
using static JetBrains.Annotations.CollectionAccessType;
using Substring = System.ReadOnlyMemory;
// SPDX-License-Identifier: MPL-2.0
// ReSharper disable once CheckNamespace
/// Provides extension methods to convert representations of text into destination types.
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Parse(this string? s) => Parse(s, out _);
/// Parses the into a .
/// The type to parse into.
/// The buffer source.
/// Whether the parsing was successful.
/// The parsed value.
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Parse(this string? s, out bool success) =>
typeof(string) == typeof(T) && (success = true)
? (T?)(object?)s
: FindTryParseFor.WithString(s, out success);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Parse(this scoped ReadOnlySpan s) => Parse(s, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Parse(this scoped ReadOnlySpan s, out bool success) =>
typeof(string) == typeof(T) && (success = true)
#if NETSTANDARD2_1_OR_GREATER || NETCOREAPP2_1_OR_GREATER
? (T)(object)Encoding.UTF8.GetString(s)
#else
? (T)(object)Encoding.UTF8.GetString(s.ToArray())
#endif
: FindTryParseFor.WithByteSpan(s, out success);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Parse(this scoped ReadOnlySpan s) => Parse(s, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Parse(this scoped ReadOnlySpan s, out bool success) =>
typeof(string) == typeof(T) && (success = true)
? (T)(object)s.ToString()
: FindTryParseFor.WithCharSpan(s, out success);
#if NET7_0_OR_GREATER
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this string? s)
where T : IParsable =>
Into(s, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this string? s, IFormatProvider? provider)
where T : IParsable =>
Into(s, provider, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this string? s, out bool success)
where T : IParsable =>
(success = T.TryParse(s, CultureInfo.InvariantCulture, out var result)) ? result : default;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this string? s, IFormatProvider? provider, out bool success)
where T : IParsable =>
(success = T.TryParse(s, provider, out var result)) ? result : default;
#if NET8_0_OR_GREATER
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s)
where T : IUtf8SpanParsable =>
Into(s, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s, IFormatProvider? provider)
where T : IUtf8SpanParsable =>
Into(s, provider, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s, out bool success)
where T : IUtf8SpanParsable =>
(success = T.TryParse(s, CultureInfo.InvariantCulture, out var result)) ? result : default;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s, IFormatProvider? provider, out bool success)
where T : IUtf8SpanParsable =>
(success = T.TryParse(s, provider, out var result)) ? result : default;
#endif
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s)
where T : ISpanParsable =>
Into(s, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s, IFormatProvider? provider)
where T : ISpanParsable =>
Into(s, provider, out _);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s, out bool success)
where T : ISpanParsable =>
(success = T.TryParse(s, CultureInfo.InvariantCulture, out var result)) ? result : default;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? Into(this scoped ReadOnlySpan s, IFormatProvider? provider, out bool success)
where T : ISpanParsable =>
(success = T.TryParse(s, provider, out var result)) ? result : default;
#endif
#if NET40_OR_GREATER || NETSTANDARD || NETCOREAPP
/// Parses the into the .
/// The type to parse into.
/// The buffer source.
/// Whether to ignore case.
/// The parsed value.
public static T IntoEnum(this string? s, bool ignoreCase = true)
where T : struct =>
Enum.TryParse(s, ignoreCase, out T result) ? result : default;
/// Parses the into the .
/// The type to parse into.
/// The buffer source.
/// Whether to ignore case.
/// The parsed value.
public static T? TryIntoEnum(this string? s, bool ignoreCase = true)
where T : struct =>
Enum.TryParse(s, ignoreCase, out T result) ? result : null;
#endif
#if NET6_0_OR_GREATER
/// Parses the into the .
/// The type to parse into.
/// The buffer source.
/// Whether to ignore case.
/// The parsed value.
public static T IntoEnum(this scoped ReadOnlySpan s, bool ignoreCase = true)
where T : struct =>
Enum.TryParse(s, ignoreCase, out T result) ? result : default;
/// Parses the into the .
/// The type to parse into.
/// The buffer source.
/// Whether to ignore case.
/// The parsed value.
public static T? TryIntoEnum(this scoped ReadOnlySpan s, bool ignoreCase = true)
where T : struct =>
Enum.TryParse(s, ignoreCase, out T result) ? result : null;
#endif
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryParse(this string? s)
where T : struct =>
Parse(s, out var success) is var value && success ? value : null;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryParse(this scoped ReadOnlySpan s)
where T : struct =>
Parse(s, out var success) is var value && success ? value : null;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryParse(this scoped ReadOnlySpan s)
where T : struct =>
Parse(s, out var success) is var value && success ? value : null;
#if NET7_0_OR_GREATER
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryInto(this string? s)
where T : struct, IParsable =>
T.TryParse(s, CultureInfo.InvariantCulture, out var result) ? result : null;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryInto(this string? s, IFormatProvider? provider)
where T : struct, IParsable =>
T.TryParse(s, provider, out var result) ? result : null;
#if NET8_0_OR_GREATER
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryInto(this scoped ReadOnlySpan s)
where T : struct, IUtf8SpanParsable =>
T.TryParse(s, CultureInfo.InvariantCulture, out var result) ? result : null;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryInto(this scoped ReadOnlySpan s, IFormatProvider? provider)
where T : struct, IUtf8SpanParsable =>
T.TryParse(s, provider, out var result) ? result : null;
#endif
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryInto(this scoped ReadOnlySpan s)
where T : struct, ISpanParsable =>
T.TryParse(s, CultureInfo.InvariantCulture, out var result) ? result : null;
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static T? TryInto(this scoped ReadOnlySpan s, IFormatProvider? provider)
where T : struct, ISpanParsable =>
T.TryParse(s, provider, out var result) ? result : null;
#endif
static class FindTryParseFor
{
[Pure]
public delegate T? ByteParser(in ReadOnlySpan s, out bool success);
[Pure]
public delegate T? CharParser(in ReadOnlySpan s, out bool success);
[Pure]
public delegate T? Parser(in string? s, out bool success);
[Pure]
delegate bool InByteParser(ReadOnlySpan s, CultureInfo info, out T? result);
[Pure]
delegate bool InCharParser(ReadOnlySpan s, CultureInfo info, out T? result);
[Pure]
delegate bool InEnumByteParser(ReadOnlySpan s, bool ignoreCase, out T? result);
[Pure]
delegate bool InEnumCharParser(ReadOnlySpan s, bool ignoreCase, out T? result);
[Pure]
delegate bool InEnumParser(string? s, bool ignoreCase, out T? result);
[Pure]
delegate bool InNumberByteParser(ReadOnlySpan s, NumberStyles style, CultureInfo info, out T? result);
[Pure]
delegate bool InNumberCharParser(ReadOnlySpan s, NumberStyles style, CultureInfo info, out T? result);
[Pure]
delegate bool InNumberParser(string? s, NumberStyles style, CultureInfo info, out T? result);
[Pure]
delegate bool InParser(string? s, CultureInfo info, out T? result);
const BindingFlags Flags = BindingFlags.Public | BindingFlags.Static | BindingFlags.FlattenHierarchy;
static readonly InByteParser? s_byteParse = Make();
static readonly InCharParser? s_charParse = Make();
static readonly InEnumByteParser? s_byteParseEnum = Make();
static readonly InEnumCharParser? s_charParseEnum = Make();
static readonly InEnumParser? s_parseEnum = Make();
static readonly InNumberByteParser? s_byteParseNumber = Make();
static readonly InNumberCharParser? s_charParseNumber = Make();
static readonly InNumberParser? s_parseNumber = Make();
static readonly InParser? s_parse = Make();
public static Parser WithString { [MethodImpl(MethodImplOptions.AggressiveInlining), Pure] get; } =
s_parseNumber is not null ? ParseNumberInvoker :
s_parseEnum is not null ? ParseEnumInvoker :
s_parse is not null ? ParseInvoker : FailedParseInvoker;
public static ByteParser WithByteSpan { [MethodImpl(MethodImplOptions.AggressiveInlining), Pure] get; } =
s_byteParseNumber is not null ? ByteParseNumberInvoker :
s_byteParseEnum is not null ? ByteParseEnumInvoker :
s_byteParse is not null ? ByteParseInvoker : ByteFailedParseInvoker;
public static CharParser WithCharSpan { [MethodImpl(MethodImplOptions.AggressiveInlining), Pure] get; } =
s_charParseNumber is not null ? CharParseNumberInvoker :
s_charParseEnum is not null ? CharParseEnumInvoker :
s_charParse is not null ? CharParseInvoker : CharFailedParseInvoker;
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? ByteFailedParseInvoker(in ReadOnlySpan _, out bool b)
{
b = false;
return default;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? ByteParseInvoker(in ReadOnlySpan s, out bool b)
{
b = s_byteParse!(s, CultureInfo.InvariantCulture, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? ByteParseEnumInvoker(in ReadOnlySpan s, out bool b)
{
b = s_byteParseEnum!(s, true, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? ByteParseNumberInvoker(in ReadOnlySpan s, out bool b)
{
b = s_byteParseNumber!(s, NumberStyles.Any, CultureInfo.InvariantCulture, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? CharFailedParseInvoker(in ReadOnlySpan _, out bool b)
{
b = false;
return default;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? CharParseInvoker(in ReadOnlySpan s, out bool b)
{
b = s_charParse!(s, CultureInfo.InvariantCulture, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? CharParseEnumInvoker(in ReadOnlySpan s, out bool b)
{
b = s_charParseEnum!(s, true, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? CharParseNumberInvoker(in ReadOnlySpan s, out bool b)
{
b = s_charParseNumber!(s, NumberStyles.Any, CultureInfo.InvariantCulture, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? FailedParseInvoker(in string? _, out bool b)
{
b = false;
return default;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? ParseInvoker(in string? s, out bool b)
{
b = s_parse!(s, CultureInfo.InvariantCulture, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? ParseEnumInvoker(in string? s, out bool b)
{
b = s_parseEnum!(s, true, out var result);
return result;
}
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
static T? ParseNumberInvoker(in string? s, out bool b)
{
b = s_parseNumber!(s, NumberStyles.Any, CultureInfo.InvariantCulture, out var result);
return result;
}
[Pure]
static TDelegate? Make()
where TDelegate : Delegate =>
typeof(T)
.GetMethods(Flags)
.Where(x => x.Name is nameof(int.TryParse))
.Select(x => x.IsGenericMethodDefinition && x.GetGenericArguments() is { Length: 1 } ? TryCoerce(x) : x)
.Select(x => Delegate.CreateDelegate(typeof(TDelegate), x, false))
.OfType()
.FirstOrDefault();
[MustUseReturnValue]
static System.Reflection.MethodInfo TryCoerce(System.Reflection.MethodInfo x)
{
try
{
return x.MakeGenericMethod(typeof(T));
}
catch (ArgumentException)
{
return x;
}
}
}
// SPDX-License-Identifier: MPL-2.0
#pragma warning disable SA1003, SA1114
// ReSharper disable BadParensLineBreaks BadPreprocessorIndent
// ReSharper disable once CheckNamespace
/// Provides prime numbers.
#if CSHARPREPL
public
#endif
static class Primes
{
/// The smallest prime number.
public const short Min = 2;
/// The largest prime number for signed 16-bit numbers.
public const short MaxInt16 = 32749;
/// Gets all prime numbers.
public static
#if NETCOREAPP || ROSLYN
ImmutableArray
#else
System.Collections.ObjectModel.ReadOnlyCollection
#endif
Int16 { [MethodImpl(MethodImplOptions.AggressiveInlining), Pure] get; } =
#if NETCOREAPP || ROSLYN
ImmutableCollectionsMarshal.AsImmutableArray(
#else
Array.AsReadOnly(
#endif
[
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101,
103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211,
223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337,
347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461,
463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601,
607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739,
743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881,
883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021,
1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129,
1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277,
1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409,
1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511,
1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621,
1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759,
1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901,
1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029,
2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153,
2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297,
2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417,
2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579,
2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699,
2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819,
2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963,
2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119,
3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259,
3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391,
3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539,
3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671,
3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803,
3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931,
3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091,
4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231,
4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373,
4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519,
4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663,
4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813,
4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969,
4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101,
5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273,
5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419,
5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557,
5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693,
5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843,
5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007,
6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143,
6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287,
6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421,
6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581,
6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737,
6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883,
6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019,
7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207,
7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351,
7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529,
7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649,
7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817,
7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951,
7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123,
8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287,
8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443,
8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623,
8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741,
8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887,
8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 9043,
9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203,
9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349,
9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479,
9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649,
9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803,
9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941,
9949, 9967, 9973, 10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103,
10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247,
10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357,
10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513,
10529, 10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 10663,
10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 10781, 10789, 10799, 10831,
10837, 10847, 10853, 10859, 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957,
10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 11093, 11113,
11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257,
11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399,
11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549,
11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717,
11719, 11731, 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839,
11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11959, 11969, 11971,
11981, 11987, 12007, 12011, 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113,
12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 12253, 12263,
12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409,
12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527,
12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647,
12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 12743, 12757, 12763, 12781, 12791, 12799,
12809, 12821, 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941,
12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 13037, 13043, 13049, 13063,
13093, 13099, 13103, 13109, 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217,
13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 13367,
13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 13513,
13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681,
13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, 13789,
13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 13883, 13901, 13903, 13907, 13913, 13921,
13931, 13933, 13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083,
14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 14243, 14249, 14251, 14281,
14293, 14303, 14321, 14323, 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, 14423,
14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551, 14557,
14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 14713,
14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821,
14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 14951,
14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077, 15083, 15091, 15101, 15107, 15121,
15131, 15137, 15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263,
15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349, 15359, 15361, 15373,
15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, 15511,
15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649,
15661, 15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 15787,
15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919,
15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073,
16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187, 16189, 16193, 16217, 16223, 16229,
16231, 16249, 16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411,
16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529, 16547, 16553,
16561, 16567, 16573, 16603, 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691, 16693,
16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, 16871, 16879,
16883, 16889, 16901, 16903, 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 17011,
17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159,
17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321,
17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393, 17401, 17417, 17419, 17431, 17443,
17449, 17467, 17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573, 17579,
17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, 17707, 17713, 17729, 17737,
17747, 17749, 17761, 17783, 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891, 17903,
17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971, 17977, 17981, 17987, 17989, 18013, 18041,
18043, 18047, 18049, 18059, 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 18149,
18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 18251, 18253, 18257, 18269, 18287, 18289,
18301, 18307, 18311, 18313, 18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433,
18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521, 18523, 18539, 18541, 18553, 18583,
18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749, 18757,
18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899, 18911, 18913, 18917, 18919, 18947, 18959,
18973, 18979, 19001, 19009, 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121, 19139,
19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, 19231, 19237, 19249, 19259, 19267, 19273,
19289, 19301, 19309, 19319, 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 19427,
19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483, 19489, 19501, 19507, 19531, 19541,
19543, 19553, 19559, 19571, 19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709,
19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841, 19843, 19853,
19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991, 19993,
19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071, 20089, 20101, 20107, 20113, 20117, 20123,
20129, 20143, 20147, 20149, 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, 20269,
20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393, 20399, 20407,
20411, 20431, 20441, 20443, 20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 20563,
20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707, 20717, 20719, 20731, 20743, 20747,
20749, 20753, 20759, 20771, 20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897, 20899,
20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, 21001, 21011, 21013, 21017, 21019, 21023,
21031, 21059, 21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169, 21179,
21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277, 21283, 21313, 21317, 21319, 21323, 21341,
21347, 21377, 21379, 21383, 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 21493,
21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569, 21577, 21587, 21589, 21599, 21601,
21611, 21613, 21617, 21647, 21649, 21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 21757,
21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841, 21851, 21859, 21863, 21871, 21881, 21893,
21911, 21929, 21937, 21943, 21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039, 22051,
22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, 22129, 22133, 22147, 22153, 22157, 22159,
22171, 22189, 22193, 22229, 22247, 22259, 22271, 22273, 22277, 22279, 22283, 22291, 22303, 22307, 22343,
22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 22441, 22447, 22453, 22469, 22481, 22483, 22501,
22511, 22531, 22541, 22543, 22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643, 22651,
22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727, 22739, 22741, 22751, 22769, 22777, 22783,
22787, 22807, 22811, 22817, 22853, 22859, 22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943, 22961,
22963, 22973, 22993, 23003, 23011, 23017, 23021, 23027, 23029, 23039, 23041, 23053, 23057, 23059, 23063,
23071, 23081, 23087, 23099, 23117, 23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203, 23209,
23227, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321, 23327, 23333, 23339, 23357, 23369, 23371,
23399, 23417, 23431, 23447, 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561, 23563,
23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629, 23633, 23663, 23669, 23671, 23677, 23687,
23689, 23719, 23741, 23743, 23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, 23831,
23833, 23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, 23911, 23917, 23929, 23957, 23971, 23977,
23981, 23993, 24001, 24007, 24019, 24023, 24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091, 24097,
24103, 24107, 24109, 24113, 24121, 24133, 24137, 24151, 24169, 24179, 24181, 24197, 24203, 24223, 24229,
24239, 24247, 24251, 24281, 24317, 24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413, 24419,
24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517, 24527, 24533, 24547, 24551, 24571, 24593,
24611, 24623, 24631, 24659, 24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767, 24781,
24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877, 24889, 24907, 24917, 24919, 24923, 24943,
24953, 24967, 24971, 24977, 24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097, 25111,
25117, 25121, 25127, 25147, 25153, 25163, 25169, 25171, 25183, 25189, 25219, 25229, 25237, 25243, 25247,
25253, 25261, 25301, 25303, 25307, 25309, 25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391, 25409,
25411, 25423, 25439, 25447, 25453, 25457, 25463, 25469, 25471, 25523, 25537, 25541, 25561, 25577, 25579,
25583, 25589, 25601, 25603, 25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 25679, 25693, 25703,
25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799, 25801, 25819, 25841, 25847, 25849, 25867,
25873, 25889, 25903, 25913, 25919, 25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999, 26003,
26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111, 26113, 26119, 26141, 26153, 26161, 26171,
26177, 26183, 26189, 26203, 26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297, 26309,
26317, 26321, 26339, 26347, 26357, 26371, 26387, 26393, 26399, 26407, 26417, 26423, 26431, 26437, 26449,
26459, 26479, 26489, 26497, 26501, 26513, 26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633, 26641,
26647, 26669, 26681, 26683, 26687, 26693, 26699, 26701, 26711, 26713, 26717, 26723, 26729, 26731, 26737,
26759, 26777, 26783, 26801, 26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 26891, 26893,
26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, 26993, 27011, 27017, 27031, 27043, 27059,
27061, 27067, 27073, 27077, 27091, 27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211, 27239,
27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329, 27337, 27361, 27367, 27397, 27407, 27409,
27427, 27431, 27437, 27449, 27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551, 27581,
27583, 27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737, 27739, 27743,
27749, 27751, 27763, 27767, 27773, 27779, 27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827, 27847,
27851, 27883, 27893, 27901, 27917, 27919, 27941, 27943, 27947, 27953, 27961, 27967, 27983, 27997, 28001,
28019, 28027, 28031, 28051, 28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151, 28163,
28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, 28289, 28297, 28307, 28309, 28319, 28349,
28351, 28387, 28393, 28403, 28409, 28411, 28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499, 28513,
28517, 28537, 28541, 28547, 28549, 28559, 28571, 28573, 28579, 28591, 28597, 28603, 28607, 28619, 28621,
28627, 28631, 28643, 28649, 28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711, 28723, 28729, 28751,
28753, 28759, 28771, 28789, 28793, 28807, 28813, 28817, 28837, 28843, 28859, 28867, 28871, 28879, 28901,
28909, 28921, 28927, 28933, 28949, 28961, 28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059, 29063,
29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 29167, 29173, 29179, 29191, 29201, 29207, 29209,
29221, 29231, 29243, 29251, 29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363, 29383,
29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, 29453, 29473, 29483, 29501, 29527, 29531,
29537, 29567, 29569, 29573, 29581, 29587, 29599, 29611, 29629, 29633, 29641, 29663, 29669, 29671, 29683,
29717, 29723, 29741, 29753, 29759, 29761, 29789, 29803, 29819, 29833, 29837, 29851, 29863, 29867, 29873,
29879, 29881, 29917, 29921, 29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059, 30071,
30089, 30091, 30097, 30103, 30109, 30113, 30119, 30133, 30137, 30139, 30161, 30169, 30181, 30187, 30197,
30203, 30211, 30223, 30241, 30253, 30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341, 30347,
30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469, 30491, 30493, 30497, 30509, 30517, 30529,
30539, 30553, 30557, 30559, 30577, 30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689, 30697,
30703, 30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, 30809, 30817, 30829, 30839, 30841, 30851,
30853, 30859, 30869, 30871, 30881, 30893, 30911, 30931, 30937, 30941, 30949, 30971, 30977, 30983, 31013,
31019, 31033, 31039, 31051, 31063, 31069, 31079, 31081, 31091, 31121, 31123, 31139, 31147, 31151, 31153,
31159, 31177, 31181, 31183, 31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249, 31253, 31259, 31267,
31271, 31277, 31307, 31319, 31321, 31327, 31333, 31337, 31357, 31379, 31387, 31391, 31393, 31397, 31469,
31477, 31481, 31489, 31511, 31513, 31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601, 31607,
31627, 31643, 31649, 31657, 31663, 31667, 31687, 31699, 31721, 31723, 31727, 31729, 31741, 31751, 31769,
31771, 31793, 31799, 31817, 31847, 31849, 31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973, 31981,
31991, 32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063, 32069, 32077, 32083, 32089, 32099, 32117,
32119, 32141, 32143, 32159, 32173, 32183, 32189, 32191, 32203, 32213, 32233, 32237, 32251, 32257, 32261,
32297, 32299, 32303, 32309, 32321, 32323, 32327, 32341, 32353, 32359, 32363, 32369, 32371, 32377, 32381,
32401, 32411, 32413, 32423, 32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 32507, 32531, 32533,
32537, 32561, 32563, 32569, 32573, 32579, 32587, 32603, 32609, 32611, 32621, 32633, 32647, 32653, 32687,
32693, 32707, 32713, 32717, 32719, 32749,
]
);
/// Performs the index operation.
/// The index.
/// The prime at the specified index.
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(Min, MaxInt16)]
public static short Index(int index) =>
#if NETCOREAPP || ROSLYN
Int16[index.Mod(Int16.Length)];
#else
Int16[index.Mod(Int16.Count)];
#endif
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(Min, MaxInt16)]
internal static short Index(Index index) => Index(index.IsFromEnd ? -index.Value - 1 : index.Value);
}
// SPDX-License-Identifier: MPL-2.0
// ReSharper disable once CheckNamespace
/// Extension methods for iterating over a set of elements, or for generating new ones.
///
/// Defines an with a that is invoked on iteration.
///
/// The type of item in the .
/// The context element to pass into the .
sealed partial class Enumerable : IEnumerable
{
readonly Delegate _action;
readonly IEnumerable _enumerable;
readonly TExternal _external;
///
public Enumerable([ProvidesContext] IEnumerable enumerable, TExternal external, Action action)
: this(enumerable, external, (Delegate)action) { }
///
public Enumerable([ProvidesContext] IEnumerable enumerable, TExternal external, Action action)
: this(enumerable, external, (Delegate)action) { }
///
public Enumerable([ProvidesContext] IEnumerable enumerable, TExternal external, Action action)
: this(enumerable, external, (Delegate)action) { }
///
public Enumerable(
[ProvidesContext] IEnumerable enumerable,
TExternal external,
Action action
)
: this(enumerable, external, (Delegate)action) { }
/// Initializes a new instance of the class.
///
/// The to create an from.
///
/// The context element.
/// The to invoke on iteration.
Enumerable([ProvidesContext] IEnumerable enumerable, TExternal external, Delegate action)
{
_enumerable = enumerable;
_external = external;
_action = action;
}
///
/// Implicitly converts the parameter by creating the new instance of
/// by using the constructor .
///
/// The parameter to pass onto the constructor.
///
/// The new instance of by passing the parameter
/// to the constructor .
///
[Pure]
public static implicit operator Enumerable(
(IEnumerable Enumerable, TExternal External, Action Action) tuple
) =>
new(tuple.Enumerable, tuple.External, tuple.Action);
///
/// Implicitly converts the parameter by creating the new instance of
/// by using the constructor .
///
/// The parameter to pass onto the constructor.
///
/// The new instance of Enumerable{T, TExternal} by passing the parameter to
/// the constructor .
///
[Pure]
public static implicit operator Enumerable(
(IEnumerable Enumerable, TExternal External, Action Action) tuple
) =>
new(tuple.Enumerable, tuple.External, tuple.Action);
///
/// Implicitly converts the parameter by creating the new instance of
/// by using the constructor .
///
/// The parameter to pass onto the constructor.
///
/// The new instance of by passing the parameter
/// to the constructor .
///
[Pure]
public static implicit operator Enumerable(
(IEnumerable Enumerable, TExternal External, Action Action) tuple
) =>
new(tuple.Enumerable, tuple.External, tuple.Action);
///
/// Implicitly converts the parameter by creating the new instance of Enumerable{T, TExternal} by using the
/// constructor .
///
/// The parameter to pass onto the constructor.
///
/// The new instance of by passing the parameter
/// to the constructor .
///
[Pure]
public static implicit operator Enumerable(
(IEnumerable Enumerable, TExternal External, Action Action) tuple
) =>
new(tuple.Enumerable, tuple.External, tuple.Action);
///
[CollectionAccess(CollectionAccessType.Read), MustDisposeResource, Pure]
public IEnumerator GetEnumerator() => new Enumerator(_enumerable.GetEnumerator(), _external, _action);
///
[CollectionAccess(CollectionAccessType.Read), MustDisposeResource, Pure]
IEnumerator IEnumerable.GetEnumerator() => GetEnumerator();
sealed class Enumerator(
[HandlesResourceDisposal, ProvidesContext] IEnumerator enumerator,
TExternal external,
Delegate action
) : IEnumerator
{
int _index;
///
public T Current => enumerator.Current;
///
object? IEnumerator.Current => ((IEnumerator)enumerator).Current;
///
public void Reset()
{
enumerator.Reset();
_index = 0;
}
///
public void Dispose() => enumerator.Dispose();
///
public bool MoveNext()
{
if (!enumerator.MoveNext())
return false;
var current = Current;
switch (action)
{
case Action a:
a(current);
break;
case Action a:
a(current, _index);
break;
case Action a:
a(current, external);
break;
case Action a:
a(current, _index, external);
break;
}
_index++;
return true;
}
}
}
///
/// The statement executes a statement or a block of statements for each element in an
/// instance of the type that implements the interface.
///
///
/// See here for more information.
///
/// The type of iterator.
/// The collection of items to go through one-by-one.
/// The action to do on each item in .
/// The parameter .
[LinqTunnel, Pure]
public static IEnumerable Lazily([NoEnumeration] this IEnumerable iterable, Action action) =>
new Enumerable(iterable, null, action);
///
/// The statement executes a statement or a block of statements for each element in an
/// instance of the type that implements the interface.
///
///
/// See here for more information.
///
/// The type of iterator.
/// The type of external parameter to pass into the callback.
/// The collection of items to go through one-by-one.
/// Any external parameter to be passed repeatedly into the callback.
/// The action to do on each item in .
/// The parameter .
[LinqTunnel, Pure]
public static IEnumerable Lazily(
[NoEnumeration] this IEnumerable iterable,
TExternal external,
Action action
) =>
new Enumerable(iterable, external, action);
///
/// The statement executes a statement or a block of statements for each element in an
/// instance of the type that implements the interface.
///
///
/// See here for more information.
///
/// The type of iterator.
/// The collection of items to go through one-by-one.
/// The action to do on each item in .
/// The parameter .
[LinqTunnel, Pure]
public static IEnumerable Lazily([NoEnumeration] this IEnumerable iterable, Action action) =>
new Enumerable(iterable, null, action);
///
/// The statement executes a statement or a block of statements for each element in an
/// instance of the type that implements the interface.
///
///
/// See here for more information.
///
/// The type of iterator.
/// The type of external parameter to pass into the callback.
/// The collection of items to go through one-by-one.
/// Any external parameter to be passed repeatedly into the callback.
/// The action to do on each item in .
/// The parameter .
[LinqTunnel, Pure]
public static IEnumerable Lazily(
[NoEnumeration] this IEnumerable iterable,
TExternal external,
Action action
) =>
new Enumerable(iterable, external, action);
// SPDX-License-Identifier: MPL-2.0
#if (NET45_OR_GREATER || NETSTANDARD1_1_OR_GREATER || NETCOREAPP2_1_OR_GREATER) && !NO_SYSTEM_MEMORY
// ReSharper disable once CheckNamespace RedundantUsingDirective
/// Contains extension methods for fast SIMD operations.
// ReSharper disable NullableWarningSuppressionIsUsed RedundantSuppressNullableWarningExpression
/// Determines whether the type is a numeric primitive.
/// The type to test.
/// Whether the type parameter is a primitive representing a number.
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static bool IsNumericPrimitive()
#if !NO_ALLOWS_REF_STRUCT
where T : allows ref struct
#endif
=>
typeof(T) == typeof(byte) ||
typeof(T) == typeof(double) ||
typeof(T) == typeof(float) ||
typeof(T) == typeof(int) ||
typeof(T) == typeof(long) ||
typeof(T) == typeof(nint) ||
typeof(T) == typeof(nuint) ||
typeof(T) == typeof(sbyte) ||
typeof(T) == typeof(short) ||
typeof(T) == typeof(uint) ||
typeof(T) == typeof(ulong) ||
typeof(T) == typeof(ushort);
///
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Span Range(this IMemoryOwner source) => Range(source.Memory.Span);
///
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Span Range(this IMemoryOwner source, int index) => Range(source.Memory.Span, index);
///
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Span Range(this Memory source) => Range(source.Span);
///
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Span Range(this Memory source, int index) => Range(source.Span, index);
/// Creates the range.
/// The type of number.
/// The to mutate.
/// The type is unsupported.
/// The parameter .
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Span Range(this Span source)
{
switch (source.Length)
{
case 0: return source;
case 1:
MemoryMarshal.GetReference(source) = default!;
return source;
case var length:
if (!IsNumericPrimitive() && !IsSupported())
_ = Fail();
SpanRange(length).CopyTo(source);
return source;
}
}
/// Creates the range.
/// The type of number.
/// The to mutate.
/// The starting index.
/// The type is unsupported.
/// The parameter .
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static Span Range(this Span source, int index)
{
if (source.Length is 0)
return source;
if (!IsNumericPrimitive() && !IsSupported())
_ = Fail();
SpanRange(index + source.Length).UnsafelySkip(index).CopyTo(source);
return source;
}
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlyMemory AsMemory(this byte length) => MemoryRange(length + 1)[length..];
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlyMemory AsMemory(this char length) => MemoryRange(length + 1)[length..];
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlyMemory AsMemory(this sbyte length) => MemoryRange(length + 1)[length..];
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlyMemory AsMemory(this short length) => MemoryRange(length + 1)[length..];
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlyMemory AsMemory(this ushort length) => MemoryRange(length + 1)[length..];
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlySpan AsSpan(this byte length) => SpanRange(length + 1).UnsafelySkip(length);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlySpan AsSpan(this char length) => SpanRange(length + 1).UnsafelySkip(length);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlySpan AsSpan(this sbyte length) => SpanRange(length + 1).UnsafelySkip(length);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlySpan AsSpan(this short length) => SpanRange(length + 1).UnsafelySkip(length);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlySpan AsSpan(this ushort length) => SpanRange(length + 1).UnsafelySkip(length);
#if NET5_0_OR_GREATER
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlySpan AsSpan(this Half length)
{
var i = (int)length;
return SpanRange(i).UnsafelySkip(i);
}
#endif
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlyMemory MemoryRange(this int length) => InAscendingOrder.Memory(length);
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure]
public static ReadOnlySpan SpanRange(this int length) => InAscendingOrder.Span(length);
static class InAscendingOrder
{
const int InitialCapacity = 512;
static T[] s_values = [];
/// Gets the read-only span containing the set of values up to the specified parameter.
/// The amount of items required.
/// The type is unsupported.
///
/// The containing a range from 0 to - 1.
///
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ReadOnlySpan Span(int length)
{
if (typeof(T) == typeof(char))
return To.From(length.SpanRange());
ReadOnlySpan original = s_values;
if (length <= original.Length)
return original.UnsafelyTake(length);
var replacement = new T[System.Math.Max(length.RoundUpToPowerOf2(), InitialCapacity / Unsafe.SizeOf())];
Span span = replacement;
original.CopyTo(span);
Populate(span.UnsafelySkip(original.Length - (!original.IsEmpty).ToByte()));
s_values = replacement;
return span.UnsafelyTake(length);
}
/// Gets the read-only span containing the set of values up to the specified parameter.
/// The amount of items required.
/// The type is unsupported.
///
/// The containing a range from 0 to - 1.
///
[MethodImpl(MethodImplOptions.AggressiveInlining)]
public static ReadOnlyMemory Memory(int length)
{
if (typeof(T) == typeof(char))
return Unsafe.As, ReadOnlyMemory>(ref AsRef(length.MemoryRange()));
_ = Span(length);
return new(s_values, 0, length);
}
[MethodImpl(MethodImplOptions.AggressiveInlining)]
static void Populate(scoped Span span)
{
ref var start = ref MemoryMarshal.GetReference(span);
ref var last = ref Unsafe.Add(ref start, span.Length);
start = ref Unsafe.Add(ref start, 1)!;
while (Unsafe.IsAddressLessThan(ref start, ref last))
{
start = Unsafe.Subtract(ref start, 1);
Increment(ref start);
start = ref Unsafe.Add(ref start, 1)!;
}
}
}
#endif
// SPDX-License-Identifier: MPL-2.0
// ReSharper disable once CheckNamespace
/// Extension methods to count digits in numbers.
/// Gets the amount of digits of the number.
/// The number to count.
/// The amount of digits in the parameter .
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(1, 3)]
public static byte DigitCount(this byte number) =>
number switch
{
< 10 => 1,
< 100 => 2,
_ => 3,
};
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(1, 3)]
public static byte DigitCount(this sbyte number) =>
number switch
{
< 10 and > -10 => 1,
< 100 and > -100 => 2,
_ => 3,
};
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(1, 5)]
public static byte DigitCount(this ushort number) =>
number switch
{
< 10 => 1,
< 100 => 2,
< 1000 => 3,
< 10000 => 4,
_ => 5,
};
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(1, 5)]
public static byte DigitCount(this short number) =>
number switch
{
< 10 and > -10 => 1,
< 100 and > -100 => 2,
< 1000 and > -1000 => 3,
< 10000 and > -10000 => 4,
_ => 5,
};
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(1, 10)]
public static byte DigitCount(this uint number) =>
number switch
{
< 10 => 1,
< 100 => 2,
< 1000 => 3,
< 10000 => 4,
< 100000 => 5,
< 1000000 => 6,
< 10000000 => 7,
< 100000000 => 8,
< 1000000000 => 9,
_ => 10,
};
///
[MethodImpl(MethodImplOptions.AggressiveInlining), Pure, ValueRange(1, 10)]
public static byte DigitCount(this int number) =>
number switch
{
< 10 and > -10 => 1,
< 100 and > -100 => 2,
< 1000 and > -1000 => 3,
< 10000 and > -10000 => 4,
< 100000 and > -100000 => 5,
< 1000000 and > -1000000 => 6,
< 10000000 and > -10000000 => 7,
< 100000000 and > -100000000 => 8,
< 1000000000 and > -1000000000 => 9,
_ => 10,
};
// SPDX-License-Identifier: MPL-2.0
#if !NET20 && !NET30
// ReSharper disable once CheckNamespace
#pragma warning disable IDE0180
/// Extension methods for randomized getters.
static readonly Func s_rng =
#if KTANE
UnityEngine.Random.Range;
#elif NET6_0_OR_GREATER
System.Random.Shared.Next;
#else
new Random().Next;
#endif
/// Shuffles a collection.
/// The item in the collection.
/// The to shuffle.
/// The indices to swap with.
/// A randomized list of items in the parameter .
public static IList Shuffle(
[InstantHandle] this IEnumerable iterable,
[InstantHandle] Func? selector = null
)
{
selector ??= s_rng;
var list = iterable.ToIList();
for (var j = list.Count; j >= 1; j--)
{
var item = selector(0, j);
if (item >= j - 1)
continue;
var t = list[item];
list[item] = list[j - 1];
list[j - 1] = t;
}
return list;
}
///
public static Span Shuffle(this Span iterable, [InstantHandle] Func? selector = null)
{
selector ??= s_rng;
for (var j = iterable.Length; j >= 1; j--)
{
var item = selector(0, j);
if (item >= j - 1)
continue;
var t = iterable[item];
iterable[item] = iterable[j - 1];
iterable[j - 1] = t;
}
return iterable;
}
/// Shuffles a collection.
/// The item in the collection.
/// The to shuffle.
/// The indices to swap with.
/// A randomized list of items in the parameter .
[MustUseReturnValue]
public static T PickRandom(
[InstantHandle] this IEnumerable iterable,
[InstantHandle] Func? selector = null
)
{
static T Fallback(IEnumerable iterable, Func selector)
{
IReadOnlyList list = [..iterable];
return list[selector(0, list.Count)];
}
selector ??= s_rng;
return iterable switch
{
IList list => list[selector(0, list.Count)],
IReadOnlyList list => list[selector(0, list.Count)],
_ when iterable.TryCount() is { } count => iterable.ElementAt(selector(0, count)),
_ => Fallback(iterable, selector),
};
}
///
[MustUseReturnValue]
public static T PickRandom([InstantHandle] this scoped Span iterable, Func