結果

問題 No.2361 Many String Compare Queries
ユーザー KumaTachiRenKumaTachiRen
提出日時 2023-06-23 23:19:51
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 391 ms / 2,500 ms
コード長 26,326 bytes
コンパイル時間 12,336 ms
コンパイル使用メモリ 145,828 KB
実行使用メモリ 190,928 KB
最終ジャッジ日時 2023-09-13 18:30:01
合計ジャッジ時間 17,323 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 74 ms
26,864 KB
testcase_01 AC 74 ms
26,972 KB
testcase_02 AC 72 ms
28,832 KB
testcase_03 AC 75 ms
29,096 KB
testcase_04 AC 74 ms
27,152 KB
testcase_05 AC 73 ms
27,032 KB
testcase_06 AC 75 ms
28,892 KB
testcase_07 AC 78 ms
29,156 KB
testcase_08 AC 383 ms
53,848 KB
testcase_09 AC 391 ms
48,284 KB
testcase_10 AC 387 ms
49,152 KB
testcase_11 AC 262 ms
58,004 KB
testcase_12 AC 292 ms
65,492 KB
testcase_13 AC 282 ms
63,824 KB
testcase_14 AC 279 ms
57,496 KB
testcase_15 AC 287 ms
190,928 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
  Determining projects to restore...
  Restored /home/judge/data/code/main.csproj (in 130 ms).
.NET 向け Microsoft (R) Build Engine バージョン 17.0.0-preview-21470-01+cb055d28f
Copyright (C) Microsoft Corporation.All rights reserved.

  プレビュー版の .NET を使用しています。https://aka.ms/dotnet-core-preview をご覧ください
  main -> /home/judge/data/code/bin/Release/net6.0/main.dll
  main -> /home/judge/data/code/bin/Release/net6.0/publish/

ソースコード

diff #

using System;
using System.ComponentModel;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.Diagnostics.Contracts;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Runtime.InteropServices;
using System.Text;
using static Functions;

using ModInt = StaticModInt<Mod998244353>;

static class Program
{
    static public void Main(string[] args)
    {
        Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
        new Solver();
        Console.Out.Flush();
    }
}

public class Solver
{
    public Solver()
    {
        Solve();
    }

    void Solve()
    {
        int n = ri, q = ri;
        var s = rs;

        var sa = StringLib.SuffixArray(s);
        var lcp = StringLib.LCPArray(s, sa);
        var idx = new int[n];
        for (int i = 0; i < n; i++) idx[sa[i]] = i;

        var lr = new List<(int i, int l, int r, int sal)>();
        for (int i = 0; i < q; i++)
        {
            int l = ri - 1, r = ri;
            lr.Add((i, l, r, idx[l]));
        }
        lr.Sort((p1, p2) => p1.sal - p2.sal);

        var ans = new long[q];
        var st = new Stack<(int l, long v, long c)>();
        int qidx = 0;
        var bits = new BinaryIndexedTree<long, Op>(n + 1);
        var bitc = new BinaryIndexedTree<long, Op>(n + 1);
        for (int i = 0; i < n; i++)
        {
            if (i > 0)
            {
                int l = lcp[i - 1];
                long v = 0;
                long c = 0;
                while (st.Count > 0 && st.Peek().l >= l)
                {
                    var (tl, tv, tc) = st.Pop();
                    bits.Add(tl, -tv);
                    bitc.Add(tl, -tc);
                    v += tv;
                    c += tc;
                }
                if (c > 0)
                {
                    st.Push((l, v, c));
                    bits.Add(l, v);
                    bitc.Add(l, c);
                }
            }
            st.Push((n - sa[i], n - sa[i], 1));
            bits.Add(n - sa[i], n - sa[i]);
            bitc.Add(n - sa[i], 1);

            while (qidx < q && lr[qidx].sal == i)
            {
                int d = lr[qidx].r - lr[qidx].l;
                ans[lr[qidx].i] = bits.Sum(d) + bitc.Sum(d, n + 1) * (d - 1);
                qidx++;
            }
        }

        bits = new BinaryIndexedTree<long, Op>(n + 1);
        bitc = new BinaryIndexedTree<long, Op>(n + 1);

        qidx--;
        st.Clear();
        for (int i = n - 1; i >= 0; i--)
        {
            if (i < n - 1)
            {
                int l = lcp[i];
                long v = 0;
                long c = 0;
                while (st.Count > 0 && st.Peek().l >= l)
                {
                    var (tl, tv, tc) = st.Pop();
                    bits.Add(tl, -tv);
                    bitc.Add(tl, -tc);
                    v += l * tc;
                    c += tc;
                }
                if (c > 0)
                {
                    st.Push((l, v, c));
                    bits.Add(l, v);
                    bitc.Add(l, c);
                }
            }

            while (qidx >= 0 && lr[qidx].sal == i)
            {
                int d = lr[qidx].r - lr[qidx].l;
                ans[lr[qidx].i] += bits.Sum(d) + bitc.Sum(d, n + 1) * (d - 1);
                qidx--;
            }

            st.Push((n - sa[i], n - sa[i], 1));
            bits.Add(n - sa[i], n - sa[i]);
            bitc.Add(n - sa[i], 1);
        }
        WriteJoin("\n", ans);
    }

    struct Op : IBinaryIndexedTreeOperator<long>
    {
        public long Identity => 0;
        public long Addition(long x, long y) => x + y;
        public long Subtract(long x, long y) => x - y;
    }

    const long INF = 1L << 60;
    int ri { get { return (int)sc.Integer(); } }
    long rl { get { return sc.Integer(); } }
    ulong rul { get { return sc.UInteger(); } }
    double rd { get { return sc.Double(); } }
    string rs { get { return sc.Scan(); } }
    string rline { get { return sc.Line(); } }
    public StreamScanner sc = new StreamScanner(Console.OpenStandardInput());

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    T[] RepArray<T>(T t, int count) => Enumerable.Repeat(t, count).ToArray();
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void WriteJoin<T>(string s, IEnumerable<T> t) => Console.WriteLine(string.Join(s, t));
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void WriteMat<T>(T[,] a)
    {
        int sz1 = a.GetLength(0);
        int sz2 = a.GetLength(1);
        for (int i = 0; i < sz1; i++)
        {
            var s = new List<string>();
            for (int j = 0; j < sz2; j++) s.Add(a[i, j].ToString());
            WriteJoin(" ", s);
        }
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void Write(object t) => Console.WriteLine(t.ToString());
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void Write(string str) => Console.WriteLine(str);
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void Write(string str, object arg1) => Console.WriteLine(str, arg1);
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void Write(string str, object arg1, object arg2) => Console.WriteLine(str, arg1, arg2);
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void Write(string str, object arg1, object arg2, object arg3) => Console.WriteLine(str, arg1, arg2, arg3);
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void Write(string str, params object[] arg) => Console.WriteLine(str, arg);
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void WriteFlush(object t)
    { Console.WriteLine(t.ToString()); Console.Out.Flush(); }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void WriteError(object t) => Console.Error.WriteLine(t.ToString());
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void YN(bool t) => Console.WriteLine(t ? "YES" : "NO");
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void Yn(bool t) => Console.WriteLine(t ? "Yes" : "No");
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    void yn(bool t) => Console.WriteLine(t ? "yes" : "no");
}

public interface IStaticMod
{
    uint Mod { get; }
    bool IsPrime { get; }
}
public readonly struct Mod1000000007 : IStaticMod
{
    public uint Mod => 1000000007;
    public bool IsPrime => true;
}
public readonly struct Mod998244353 : IStaticMod
{
    public uint Mod => 998244353;
    public bool IsPrime => true;
}
public readonly struct StaticModInt<T> : IEquatable<StaticModInt<T>>, IFormattable where T : struct, IStaticMod
{
    internal readonly uint _v;
    private static readonly T op = default;
    public int Value => (int)_v;
    public static int Mod => (int)op.Mod;
    public static StaticModInt<T> Zero => default;
    public static StaticModInt<T> One => new StaticModInt<T>(1u);
    [MethodImpl(256)]
    public static StaticModInt<T> Raw(int v)
    {
        var u = unchecked((uint)v);
        return new StaticModInt<T>(u);
    }
    [MethodImpl(256)]
    public StaticModInt(long v) : this(Round(v)) { }
    [MethodImpl(256)]
    public StaticModInt(ulong v) : this((uint)(v % op.Mod)) { }
    [MethodImpl(256)]
    private StaticModInt(uint v) => _v = v;
    [MethodImpl(256)]
    private static uint Round(long v)
    {
        var x = v % op.Mod;
        if (x < 0) x += op.Mod;
        return (uint)x;
    }
    [MethodImpl(256)]
    public static StaticModInt<T> operator ++(StaticModInt<T> v)
    {
        var x = v._v + 1;
        if (x == op.Mod) x = 0;
        return new StaticModInt<T>(x);
    }
    [MethodImpl(256)]
    public static StaticModInt<T> operator --(StaticModInt<T> v)
    {
        var x = v._v;
        if (x == 0) x = op.Mod;
        return new StaticModInt<T>(x - 1);
    }
    [MethodImpl(256)]
    public static StaticModInt<T> operator +(StaticModInt<T> lhs, StaticModInt<T> rhs)
    {
        var v = lhs._v + rhs._v;
        if (v >= op.Mod) v -= op.Mod;
        return new StaticModInt<T>(v);
    }
    [MethodImpl(256)]
    public static StaticModInt<T> operator -(StaticModInt<T> lhs, StaticModInt<T> rhs)
    {
        unchecked
        {
            var v = lhs._v - rhs._v;
            if (v >= op.Mod) v += op.Mod;
            return new StaticModInt<T>(v);
        }
    }
    [MethodImpl(256)]
    public static StaticModInt<T> operator *(StaticModInt<T> lhs, StaticModInt<T> rhs) => new StaticModInt<T>((uint)((ulong)lhs._v * rhs._v % op.Mod));
    [MethodImpl(256)]
    public static StaticModInt<T> operator /(StaticModInt<T> lhs, StaticModInt<T> rhs) => lhs * rhs.Inv();
    [MethodImpl(256)]
    public static StaticModInt<T> operator +(StaticModInt<T> v) => v;
    [MethodImpl(256)]
    public static StaticModInt<T> operator -(StaticModInt<T> v) => new StaticModInt<T>(v._v == 0 ? 0 : op.Mod - v._v);
    [MethodImpl(256)]
    public static bool operator ==(StaticModInt<T> lhs, StaticModInt<T> rhs) => lhs._v == rhs._v;
    [MethodImpl(256)]
    public static bool operator !=(StaticModInt<T> lhs, StaticModInt<T> rhs) => lhs._v != rhs._v;
    [MethodImpl(256)]
    public static implicit operator StaticModInt<T>(int v) => new StaticModInt<T>(v);
    [MethodImpl(256)]
    public static implicit operator StaticModInt<T>(uint v) => new StaticModInt<T>((long)v);
    [MethodImpl(256)]
    public static implicit operator StaticModInt<T>(long v) => new StaticModInt<T>(v);
    [MethodImpl(256)]
    public static implicit operator StaticModInt<T>(ulong v) => new StaticModInt<T>(v);
    [MethodImpl(256)]
    public static implicit operator long(StaticModInt<T> v) => v._v;
    [MethodImpl(256)]
    public static implicit operator ulong(StaticModInt<T> v) => v._v;
    [MethodImpl(256)]
    public StaticModInt<T> Pow(long n)
    {
        var x = this;
        var r = new StaticModInt<T>(1U);
        while (n > 0)
        {
            if ((n & 1) > 0) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    [MethodImpl(256)]
    public StaticModInt<T> Inv()
    {
        var (x, y, g) = ExtGcd(_v, op.Mod);
        return new StaticModInt<T>(x);
    }
    [MethodImpl(256)]
    static (long x, long y, long g) ExtGcd(long a, long b)
    {
        if (b == 0) return a >= 0 ? (1, 0, a) : (-1, 0, -a);
        long c = SafeMod(a, b);
        var (x2, y2, g) = ExtGcd(b, c);
        long x = SafeMod(y2, b);
        long y = (g - a * x) / b;
        return (x, y, g);
    }
    [MethodImpl(256)]
    static long SafeMod(long x, long m)
    {
        long r = x % m;
        if (r < 0) r += m;
        return r;
    }
    [MethodImpl(256)]
    public override string ToString() => _v.ToString();
    [MethodImpl(256)]
    public string ToString(string format, IFormatProvider formatProvider) => _v.ToString(format, formatProvider);
    [MethodImpl(256)]
    public override bool Equals(object obj) => obj is StaticModInt<T> m && Equals(m);
    [MethodImpl(256)]
    public bool Equals(StaticModInt<T> other) => _v == other._v;
    [MethodImpl(256)]
    public override int GetHashCode() => _v.GetHashCode();
}

public static class Functions
{
    [MethodImpl(256)]
    public static int Popcount(ulong x)
    {
        x = (x & 0x5555555555555555UL) + ((x >> 1) & 0x5555555555555555UL);
        x = (x & 0x3333333333333333UL) + ((x >> 2) & 0x3333333333333333UL);
        x = (x & 0x0f0f0f0f0f0f0f0fUL) + ((x >> 4) & 0x0f0f0f0f0f0f0f0fUL);
        x = (x & 0x00ff00ff00ff00ffUL) + ((x >> 8) & 0x00ff00ff00ff00ffUL);
        x = (x & 0x0000ffff0000ffffUL) + ((x >> 16) & 0x0000ffff0000ffffUL);
        x = (x & 0x00000000ffffffffUL) + ((x >> 32) & 0x00000000ffffffffUL);
        return (int)x;
    }
    [MethodImpl(256)]
    public static int Popcount(int x)
    {
        x = (x & 0x55555555) + ((x >> 1) & 0x55555555);
        x = (x & 0x33333333) + ((x >> 2) & 0x33333333);
        x = (x & 0x0f0f0f0f) + ((x >> 4) & 0x0f0f0f0f);
        x = (x & 0x00ff00ff) + ((x >> 8) & 0x00ff00ff);
        x = (x & 0x0000ffff) + ((x >> 16) & 0x0000ffff);
        return x;
    }
    [MethodImpl(256)]
    public static int Ctz(long x)
    {
        if (x == 0) return -1;
        return Popcount((ulong)((x & -x) - 1));
    }
    [MethodImpl(256)]
    public static int CeilPow2(int n)
    {
        int x = 0;
        while ((1 << x) < n) x++;
        return x;
    }
    [MethodImpl(256)]
    public static int SafeMod(int x, int m)
    {
        int r = x % m;
        return r < 0 ? r + Math.Abs(m) : r;
    }
    [MethodImpl(256)]
    public static long SafeMod(long x, long m)
    {
        long r = x % m;
        return r < 0 ? r + Math.Abs(m) : r;
    }
    [MethodImpl(256)] public static int Sign(long x) => x == 0 ? 0 : (x < 0 ? -1 : 1);
    [MethodImpl(256)] public static int Sign(double x) => x == 0 ? 0 : (x < 0 ? -1 : 1);
    [MethodImpl(256)] public static int DigitSum(long n, int d = 10) { long s = 0; while (n > 0) { s += n % d; n /= d; } return (int)s; }
    [MethodImpl(256)] public static long Floor(long a, long b) => a >= 0 ? a / b : (a + 1) / b - 1;
    [MethodImpl(256)] public static long Ceil(long a, long b) => a > 0 ? (a - 1) / b + 1 : a / b;
    [MethodImpl(256)] public static int Gcd(int a, int b) => b == 0 ? a : Gcd(b, a % b);
    [MethodImpl(256)] public static long Gcd(long a, long b) => b == 0 ? a : Gcd(b, a % b);
    [MethodImpl(256)] public static void Swap(ref int x, ref int y) { x ^= y; y ^= x; x ^= y; }
    [MethodImpl(256)] public static void Swap(ref long x, ref long y) { x ^= y; y ^= x; x ^= y; }
    [MethodImpl(256)] public static void Swap<T>(ref T x, ref T y) { T t = y; y = x; x = t; }
    [MethodImpl(256)] public static T Clamp<T>(T x, T l, T r) where T : IComparable<T> => x.CompareTo(l) <= 0 ? l : (x.CompareTo(r) <= 0 ? x : r);
    [MethodImpl(256)] public static T Clamp<T>(ref T x, T l, T r) where T : IComparable<T> => x = x.CompareTo(l) <= 0 ? l : (x.CompareTo(r) <= 0 ? x : r);
    [MethodImpl(256)] public static void Chmin<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) > 0) x = y; }
    [MethodImpl(256)] public static void Chmax<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) < 0) x = y; }
    public static int LowerBound(int[] arr, int val, int l = -1, int r = -1) => LowerBound<int>(arr.AsSpan(), t => t - val, l, r);
    public static int LowerBound<T>(T[] arr, Func<T, int> comp, int l = -1, int r = -1) => LowerBound<T>(arr.AsSpan<T>(), comp, l, r);
    public static int LowerBound<T>(Span<T> data, Func<T, int> comp, int l = -1, int r = -1)
    {
        if (data.Length == 0) return -1;
        if (l == -1) l = 0;
        if (r == -1) r = data.Length;
        while (l < r)
        {
            int x = (l + r) / 2;
            if (comp(data[x]) < 0) l = x + 1;
            else r = x;
        }
        return l;
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static string ToBase2(long v, int digit = -1)
    {
        if (digit == -1)
        {
            digit = 0;
            while ((v >> digit) > 0) digit++;
        }
        var c = new string[digit];
        for (int i = 0; i < digit; i++) c[digit - 1 - i] = ((v >> i) & 1) == 0 ? "0" : "1";
        return string.Join("", c);
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static string ToBaseN(long v, int n, int digit = -1)
    {
        if (digit == -1)
        {
            digit = 0;
            long pow = 1;
            while (v >= pow) { digit++; pow *= n; }
        }
        var c = new int[digit];
        for (int i = 0; i < digit; i++, v /= n) c[digit - 1 - i] = (int)(v % n);
        return string.Join("", c);
    }
}

public class StreamScanner
{
    public StreamScanner(Stream stream) { str = stream; }
    private readonly Stream str;
    private readonly byte[] buf = new byte[1024];
    private int len, ptr;
    public bool isEof = false;
    public bool IsEndOfStream { get { return isEof; } }
    private byte read()
    {
        if (isEof) throw new EndOfStreamException();
        if (ptr >= len)
        {
            ptr = 0;
            if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; }
        }
        return buf[ptr++];
    }
    public char Char()
    {
        byte b = 0;
        do b = read();
        while (b < 33 || 126 < b);
        return (char)b;
    }
    public string Line()
    {
        var sb = new StringBuilder();
        for (var b = Char(); b != 10 && !isEof; b = (char)read()) sb.Append(b);
        return sb.ToString();
    }
    public string Scan()
    {
        var sb = new StringBuilder();
        for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b);
        return sb.ToString();
    }
    public long Integer()
    {
        long ret = 0; byte b = 0; var ng = false;
        do b = read();
        while (b != '-' && (b < '0' || '9' < b));
        if (b == '-') { ng = true; b = read(); }
        for (; true; b = read())
        {
            if (b < '0' || '9' < b) return ng ? -ret : ret;
            else ret = ret * 10 + b - '0';
        }
    }
    public ulong UInteger()
    {
        ulong ret = 0; byte b = 0;
        do b = read();
        while (b < '0' || '9' < b);
        for (; true; b = read())
        {
            if (b < '0' || '9' < b) return ret;
            else ret = ret * 10 + b - '0';
        }
    }
    public double Double() { return double.Parse(Scan()); }
}

public static partial class StringLib
{
    private static int[] SA_Naive(int[] s)
    {
        int n = s.Length;
        var sa = new List<int>();
        for (int i = 0; i < n; i++) sa.Add(i);
        sa.Sort((l, r) =>
        {
            if (l == r) return 0;
            while (l < n && r < n)
            {
                if (s[l] != s[r]) return s[l] - s[r];
                l++; r++;
            }
            return -(l - r);
        });
        return sa.ToArray();
    }
    private static int[] SA_Doubling(ReadOnlySpan<int> s)
    {
        int n = s.Length;
        var sa = new int[n];
        for (int i = 0; i < n; i++) sa[i] = i;
        var rnk = s.ToArray();
        var tmp = new int[n];
        for (int k = 1; k < n; k *= 2)
        {
            Comparison<int> cmp = (int x, int y) =>
            {
                if (rnk[x] != rnk[y]) return rnk[x] - rnk[y];
                int rx = x + k < n ? rnk[x + k] : -1;
                int ry = y + k < n ? rnk[y + k] : -1;
                return rx - ry;
            };
            Array.Sort(sa, (x, y) => cmp(x, y));
            tmp[sa[0]] = 0;
            for (int i = 1; i < n; i++)
            {
                tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) < 0 ? 1 : 0);
            }
            for (int i = 0; i < n; i++)
            {
                var t = tmp[i];
                tmp[i] = rnk[i];
                rnk[i] = t;
            }
        }
        return sa;
    }
    private static int[] SA_IS(ReadOnlySpan<int> s, int upper, int THRESHOLD_NAIVE = 10, int THRESHOLD_DOUBLING = 40)
    {
        int n = s.Length;
        if (n == 0) return new int[0];
        if (n == 1) return new int[1] { 0 };
        if (n == 2)
        {
            if (s[0] < s[1]) return new int[] { 0, 1 };
            else return new int[] { 1, 0 };
        }
        if (n < THRESHOLD_NAIVE) return SA_Naive(s.ToArray());
        if (n < THRESHOLD_DOUBLING) return SA_Doubling(s);
        var sa = new int[n];
        var ls = new bool[n];
        for (int i = n - 2; i >= 0; i--)
            ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
        var sum_l = new int[upper + 1];
        var sum_s = new int[upper + 1];
        for (int i = 0; i < n; i++)
        {
            if (!ls[i]) sum_s[s[i]]++;
            else sum_l[s[i] + 1]++;
        }
        for (int i = 0; i <= upper; i++)
        {
            sum_s[i] += sum_l[i];
            if (i < upper) sum_l[i + 1] += sum_s[i];
        }
        var lms_map = new int[n + 1];
        for (int i = 0; i < lms_map.Length; i++) lms_map[i] = -1;
        int m = 0;
        for (int i = 1; i < n; i++)
            if (!ls[i - 1] && ls[i]) lms_map[i] = m++;
        var lms = new List<int>();
        for (int i = 1; i < n; i++)
            if (!ls[i - 1] && ls[i]) lms.Add(i);
        {
            for (int i = 0; i < sa.Length; i++) sa[i] = -1;
            var buf = (int[])sum_s.Clone();
            foreach (var d in lms)
            {
                if (d == n) continue;
                sa[buf[s[d]]++] = d;
            }
            buf = (int[])sum_l.Clone();
            sa[buf[s[n - 1]]++] = n - 1;
            for (int i = 0; i < n; i++)
            {
                int v = sa[i];
                if (v >= 1 && !ls[v - 1])
                {
                    sa[buf[s[v - 1]]++] = v - 1;
                }
            }
            buf = (int[])sum_l.Clone();
            for (int i = n - 1; i >= 0; i--)
            {
                int v = sa[i];
                if (v >= 1 && ls[v - 1])
                {
                    sa[--buf[s[v - 1] + 1]] = v - 1;
                }
            }
        }
        if (m > 0)
        {
            var sorted_lms = new List<int>();
            foreach (int v in sa) if (lms_map[v] != -1) sorted_lms.Add(v);
            var rec_s = new int[m];
            int rec_upper = 0;
            rec_s[lms_map[sorted_lms[0]]] = 0;
            for (int i = 1; i < m; i++)
            {
                int l = sorted_lms[i - 1], r = sorted_lms[i];
                int end_l = (lms_map[l] + 1 < m) ? lms[lms_map[l] + 1] : n;
                int end_r = (lms_map[r] + 1 < m) ? lms[lms_map[r] + 1] : n;
                bool same = true;
                if (end_l - l != end_r - r) same = false;
                else
                {
                    while (l < end_l)
                    {
                        if (s[l] != s[r]) break;
                        l++;
                        r++;
                    }
                    if (l == n || s[l] != s[r]) same = false;
                }
                if (!same) rec_upper++;
                rec_s[lms_map[sorted_lms[i]]] = rec_upper;
            }
            var rec_sa = SA_IS(rec_s, rec_upper);
            for (int i = 0; i < m; i++) sorted_lms[i] = lms[rec_sa[i]];
            {
                for (int i = 0; i < sa.Length; i++) sa[i] = -1;
                var buf = (int[])sum_s.Clone();
                foreach (var d in sorted_lms)
                {
                    if (d == n) continue;
                    sa[buf[s[d]]++] = d;
                }
                buf = (int[])sum_l.Clone();
                sa[buf[s[n - 1]]++] = n - 1;
                for (int i = 0; i < n; i++)
                {
                    int v = sa[i];
                    if (v >= 1 && !ls[v - 1])
                    {
                        sa[buf[s[v - 1]]++] = v - 1;
                    }
                }
                buf = (int[])sum_l.Clone();
                for (int i = n - 1; i >= 0; i--)
                {
                    int v = sa[i];
                    if (v >= 1 && ls[v - 1])
                    {
                        sa[--buf[s[v - 1] + 1]] = v - 1;
                    }
                }
            }
        }
        return sa;
    }

    public static int[] SuffixArray(ReadOnlySpan<int> s, int upper) => SA_IS(s, upper);
    public static int[] SuffixArray<T>(ReadOnlySpan<T> s) where T : IComparable<T>
    {
        var comp = Comparer<T>.Default;
        int n = s.Length;
        var idx = new (int i, T v)[n];
        for (int i = 0; i < n; i++) idx[i] = (i, s[i]);
        Array.Sort(idx, (l, r) => comp.Compare(l.v, r.v));
        var s2 = new int[n];
        int now = 0;
        for (int i = 0; i < n; i++)
        {
            if (i > 0 && comp.Compare(idx[i - 1].v, idx[i].v) != 0) now++;
            s2[idx[i].i] = now;
        }
        return SA_IS(s2, now);
    }
    public static int[] SuffixArray(string s)
    {
        int n = s.Length;
        var s2 = new int[n];
        for (int i = 0; i < n; i++) s2[i] = s[i];
        return SA_IS(s2, 255);
    }
}

public static partial class StringLib
{

    public static int[] LCPArray<T>(ReadOnlySpan<T> s, ReadOnlySpan<int> sa) where T : IEquatable<T>
    {
        var comp = EqualityComparer<T>.Default;
        int n = s.Length;
        var rnk = new int[n];
        for (int i = 0; i < n; i++) rnk[sa[i]] = i;
        var lcp = new int[n];
        Array.Fill(lcp, -1);
        int h = 0;
        for (int i = 0; i < n; i++)
        {
            if (h > 0) h--;
            if (rnk[i] == 0) continue;
            int j = sa[rnk[i] - 1];
            for (; j + h < n && i + h < n; h++)
                if (!comp.Equals(s[j + h], s[i + h])) break;
            lcp[rnk[i] - 1] = h;
        }
        return lcp;
    }
    public static int[] LCPArray(string s, ReadOnlySpan<int> sa) => LCPArray<char>(s.AsSpan(), sa);
}

public interface IBinaryIndexedTreeOperator<T>
{
    T Identity { get; }
    T Addition(T x, T y);
    T Subtract(T x, T y);
}

class BinaryIndexedTree<T, Op> where Op : IBinaryIndexedTreeOperator<T>
{
    private static readonly Op op = default;
    public int Length { get; }
    public readonly T[] data;
    public BinaryIndexedTree(int n)
    {
        Length = n;
        data = new T[Length + 1];
        Array.Fill(data, op.Identity);
    }
    [MethodImpl(256)]
    public void Add(int p, T x)
    {
        for (p++; p < data.Length; p += p & -p) data[p] = op.Addition(data[p], x);
    }

    [MethodImpl(256)]
    public T Sum(int l, int r) => op.Subtract(Sum(r), Sum(l));

    [MethodImpl(256)]
    public T Sum(int x)
    {
        T s = op.Identity;
        for (; x > 0; x -= x & -x) s = op.Addition(s, data[x]);
        return s;
    }

    [MethodImpl(256)]
    public int LowerBound(Func<T, bool> cond)
    {
        if (cond(op.Identity)) return 0;
        int x = 0, r = 1;
        while (r < Length) r = r << 1;
        T s = op.Identity;
        for (int len = r; len > 0; len >>= 1)
        {
            if (x + len < Length && !cond(op.Addition(s, data[x + len])))
            {
                s = op.Addition(s, data[x + len]);
                x += len;
            }
        }
        return x + 1;
    }
}
0