結果
問題 | No.2361 Many String Compare Queries |
ユーザー |
|
提出日時 | 2023-06-23 23:19:51 |
言語 | C# (.NET 8.0.404) |
結果 |
AC
|
実行時間 | 599 ms / 2,500 ms |
コード長 | 26,326 bytes |
コンパイル時間 | 9,759 ms |
コンパイル使用メモリ | 168,140 KB |
実行使用メモリ | 218,076 KB |
最終ジャッジ日時 | 2024-07-01 03:08:50 |
合計ジャッジ時間 | 15,499 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 14 |
コンパイルメッセージ
復元対象のプロジェクトを決定しています... /home/judge/data/code/main.csproj を復元しました (99 ms)。 MSBuild のバージョン 17.9.6+a4ecab324 (.NET) main -> /home/judge/data/code/bin/Release/net8.0/main.dll main -> /home/judge/data/code/bin/Release/net8.0/publish/
ソースコード
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;}}