結果

問題 No.1018 suffixsuffixsuffix
コンテスト
ユーザー kakel-san
提出日時 2025-11-20 23:17:59
言語 C#
(.NET 8.0.404)
結果
AC  
実行時間 205 ms / 2,000 ms
コード長 13,380 bytes
コンパイル時間 8,849 ms
コンパイル使用メモリ 170,572 KB
実行使用メモリ 225,448 KB
最終ジャッジ日時 2025-11-20 23:18:26
合計ジャッジ時間 19,072 ms
ジャッジサーバーID
(参考情報)
judge1 / judge2
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 4
other AC * 34
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
  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 (127 ミリ秒)。
  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

diff #
raw source code

using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;
using System.Globalization;
using System.Runtime.CompilerServices;
using System.Runtime.Intrinsics.X86;

class Program
{
    static int NN => int.Parse(ReadLine());
    static long[] NList => ReadLine().Split().Select(long.Parse).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var c = NList;
        var (n, m, q) = ((int)c[0], (int)c[1], (int)c[2]);
        var s = ReadLine();
        var k = NList;
        WriteLine(string.Join(" ", Suffix(n, m, q, s, k)));
    }
    static long[] Suffix(int n, long m, int q, string s, long[] k)
    {
        var h1 = new StringHash(SHI.H1, s);
        var h2 = new StringHash(SHI.H2, s);
        for (var i = 1; i < n; ++i)
        {
            if (n % i == 0)
            {
                var sh1 = h1.GetHash(0, i - 1);
                var sh2 = h2.GetHash(0, i - 1);
                var flg = true;
                for (var j = i; j < n; j += i)
                {
                    var nsh1 = h1.GetHash(j, j + i - 1);
                    var nsh2 = h2.GetHash(j, j + i - 1);
                    if (sh1 != nsh1 || sh2 != nsh2)
                    {
                        flg = false;
                        break;
                    }
                }
                if (flg)
                {
                    s = s[0..i];
                    m *= n / i;
                    n = i;
                    break;
                }
            }
        }
        return SuffixImpl(n, m, q, s, k);
    }
    static long[] SuffixImpl(int n, long m, int q, string s, long[] k)
    {
        var t = s + s;
        var sa = SuffixArray(t);
        var list = new List<(int pos, long min, long max)>(sa.Length);
        var offset = 1L;
        for (var i = 0; i < sa.Length; ++i)
        {
            if (sa[i] >= n)
            {
                list.Add((sa[i], offset, offset));
                ++offset;
            }
            else
            {
                list.Add((sa[i], offset, offset + m - 2));
                offset += m - 1;
            }
        }
        var qlist = new List<(int id, long k)>(q);
        for (var i = 0; i < q; ++i) qlist.Add((i, k[i]));
        qlist.Sort((l, r) => l.k.CompareTo(r.k));
        var ans = new long[q];
        var pos = 0;
        foreach (var qi in qlist)
        {
            while (list[pos].max < qi.k) ++pos;
            if (list[pos].pos >= n)
            {
                ans[qi.id] = list[pos].pos + (m - 2L) * n + 1;
            }
            else
            {
                ans[qi.id] = list[pos].pos + (list[pos].max - qi.k) * n + 1;
            }
        }
        return ans;
    }
    public class SHI
    {
        public static SHI H1 = new SHI(29, 998_244_391, 722_866_628);
        public static SHI H2 = new SHI(31, 998_244_397, 193_208_593);
        public int Mul;
        public int Mod;
        public int Rev;
        public SHI(int mul, int mod, int rev)
        {
            Mul = mul; Mod = mod; Rev = rev;
        }
    }
    /// 部分文字列に対するハッシュコードを計算する
    class StringHash
    {
        int mul;
        int mod;
        long[] pow;
        long[] rev;
        // ここをFenwicktree等に変更することで、文字列の変更ができる
        long[] cum;
        // FenwickTree cum;
        public StringHash(SHI ini, string s)
        {
            mul = ini.Mul;
            mod = ini.Mod;
            pow = new long[s.Length + 1];
            rev = new long[s.Length + 1];
            pow[0] = 1;
            rev[0] = 1;
            cum = new long[s.Length + 1];
            // cum = new FenwickTree(s.Length + 1);
            for (var i = 1; i <= s.Length; ++i)
            {
                pow[i] = pow[i - 1] * mul % mod;
                rev[i] = rev[i - 1] * ini.Rev % mod;
                cum[i] = (cum[i - 1] + (s[i - 1] - 'a' + 1) * pow[i]) % mod;
                // cum.Add(i, (s[i - 1] - 'a' + 1) * pow[i] % mod);
            }
        }
        /// <summary>部分文字列s[l..r]のハッシュ1を求める l,rは0-based</summary>
        public int GetHash(int l, int r)
        {
            if (l > r) return 0;
            return (int)((cum[r + 1] + mod - cum[l]) % mod * rev[l] % mod);
        }
        // public int GetHash(int l, int r)
        // {
        //     if (l > r) return 0;
        //     return (int)((cum.Sum(r + 1) - cum.Sum(l) + mod) % mod * rev[l] % mod);
        // }
    }
    // s.Substring(i) を辞書順でソートしたときの i のリストを返却する
    // O(n)
    static int[] SuffixArray(string s)
    {
        var n = s.Length;
        var s2 = new int[n];
        for (var i = 0; i < n; ++i) s2[i] = (int)s[i];
        return SaIs(s2, 255);
    }
    // 時間 O(nlogn), 空間 O(n)
    static int[] SuffixArray(int[] s)
    {
        var n = s.Length;
        var idx = new List<int>(n);
        for (var i = 0; i < n; ++i) idx.Add(i);
        idx.Sort((l, r) => s[l].CompareTo(s[r]));
        var s2 = new int[n];
        var now = 0;
        for (var i = 0; i < n; ++i)
        {
            if (i > 0 && s[idx[i - 1]] != s[idx[i]]) ++now;
            s2[idx[i]] = now;
        }
        return SaIs(s2, now);
    }
    // sに含まれる値が 0 から upper までの間に限られる場合
    // O(n + upper)
    static int[] SuffixArray(int[] s, int upper)
    {
        return SaIs(s, upper);
    }
    // 文字列 s の Suffix Array を並べたとき隣接する項目の Longest Common Path を求める
    static int[] LcpArray(string s, int[] sa)
    {
        var n = s.Length;
        var s2 = new int[n];
        for (var i = 0; i < n; ++i) s2[i] = (int)s[i];
        return LcpArray(s2, sa);
    }
    static int[] LcpArray(int[] s, int[] sa)
    {
        var n = s.Length;
        var rnk = new int[n];
        for (var i = 0; i < n; ++i) rnk[sa[i]] = i;
        var lcp = new int[n - 1];
        var h = 0;
        for (var i = 0; i < n; ++i)
        {
            if (h > 0) --h;
            if (rnk[i] == 0) continue;
            var j = sa[rnk[i] - 1];
            for (; j + h < n && i + h < n; ++h)
            {
                if (s[j + h] != s[i + h]) break;
            }
            lcp[rnk[i] - 1] = h;
        }
        return lcp;
    }
    // s と s.Substring(i) の Longest Common Prefix の長さを格納した配列を取得する
    static int[] ZAlgorithm(string s)
    {
        var n = s.Length;
        var s2 = new int[n];
        for (var i = 0; i < n; ++i) s2[i] = (int)s[i];
        return ZAlgorithm(s2);
    }
    static int[] ZAlgorithm(int[] s)
    {
        var n = s.Length;
        if (n == 0) return new int[] {};
        var z = new int[n];
        for (int i = 1, j = 0; i < n; ++i)
        {
            z[i] = (j + z[j] <= i) ? 0 : Math.Min(j + z[j] - i, z[i - j]);
            while (i + z[i] < n && s[z[i]] == s[i + z[i]])  ++z[i];
            if (j + z[j] < i + z[i]) j = i;
        }
        z[0] = n;
        return z;
    }
    static int[] SaNaive(int[] s)
    {
        var n = s.Length;
        var sa = new List<int>(n);
        for (var i = 0; i < n; ++i)
        {
            sa.Add(i);
        }
        sa.Sort((l, r) => {
            if (l == r) return 1;
            while (l < n && r < n)
            {
                if (s[l] != s[r]) return s[l] < s[r] ? -1 : 1;
                ++l;
                ++r;
            }
            return l == n ? -1 : 1;
        });
        return sa.ToArray();
    }
    static int[] SaDoubling(int[] s)
    {
        var n = s.Length;
        var sa = new List<int>(n);
        var rnk = s;
        var tmp = new int[n];
        for (var i = 0; i < n; ++i) sa.Add(i);
        for (var k = 1; k < n; k *= 2)
        {
            Comparison<int> cmp = (x, y) =>
            {
                if (rnk[x] != rnk[y]) return rnk[x] < rnk[y] ? -1 : 1;
                var rx = x + k < n ? rnk[x + k] : -1;
                var ry = y + k < n ? rnk[y + k] : -1;
                return rx < ry ? -1 : 1;
            };
            sa.Sort(cmp);
            tmp[sa[0]] = 0;
            for (var i = 1; i < n; ++i) tmp[sa[i]] = tmp[sa[i - 1]] + (cmp(sa[i - 1], sa[i]) == -1 ? 1 : 0);
            var tmp2 = tmp;
            tmp = rnk;
            rnk = tmp2;
        }
        return sa.ToArray();
    }
    const int THRESHOLD_NAIVE = 10;
    const int THRESHOLD_DOUBLING = 40;
    static int[] SaIs(int[] s, int upper)
    {
        var n = s.Length;
        if (n == 0) return new int[0];
        if (n == 1) return new int[] { 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 SaNaive(s);
        if (n < THRESHOLD_DOUBLING) return SaDoubling(s);

        var sa = new int[n];
        var ls = new bool[n];
        for (var i = n - 2; i >= 0; --i) ls[i] = (s[i] == s[i + 1]) ? ls[i + 1] : (s[i] < s[i + 1]);
        var sumL = new int[upper + 1];
        var sumS = new int[upper + 1];
        for (var i = 0; i < n; ++i)
        {
            if (!ls[i]) ++sumS[s[i]];
            else  ++sumL[s[i] + 1];
        }
        for (var i = 0; i <= upper; ++i)
        {
            sumS[i] += sumL[i];
            if (i < upper)  sumL[i + 1] += sumS[i];
        }

        Func<List<int>, int> induce = (List<int> _lms) =>
        {
            for (var i = 0; i < sa.Length; ++i) sa[i] = -1;
            var buf = new int[upper + 1];
            Array.Copy(sumS, buf, sumS.Length);
            foreach (var d in _lms)
            {
                if (d == n) continue;
                sa[buf[s[d]]++] = d;
            }
            Array.Copy(sumL, buf, sumL.Length);
            sa[buf[s[n - 1]]++] = n - 1;
            for (var i = 0; i < n; ++i)
            {
                var v = sa[i];
                if (v >= 1 && !ls[v - 1]) sa[buf[s[v - 1]]++] = v - 1;
            }
            Array.Copy(sumL, buf, sumL.Length);
            for (var i = n - 1; i >= 0; --i)
            {
                var v = sa[i];
                if (v >= 1 && ls[v - 1]) sa[--buf[s[v - 1] + 1]] = v - 1;
            }
            return 0;
        };

        var lmsMap = new int[n + 1];
        for (var i = 0; i < lmsMap.Length; ++i) lmsMap[i] = -1;
        var m = 0;
        for (var i = 1; i < n; ++i)
        {
            if (!ls[i - 1] && ls[i]) lmsMap[i] = m++;
        }
        var lms = new List<int>(m);
        for (var i = 1; i < n; ++i)
        {
            if (!ls[i - 1] && ls[i]) lms.Add(i);
        }

        induce(lms);

        if (m > 0)
        {
            var sortedLms = new List<int>(m);
            foreach (var v in sa)
            {
                if (lmsMap[v] != -1) sortedLms.Add(v);
            }
            var recS = new int[m];
            var recUpper = 0;
            recS[lmsMap[sortedLms[0]]] = 0;
            for (var i = 1; i < m; ++i)
            {
                var l = sortedLms[i - 1];
                var r = sortedLms[i];
                var endL = (lmsMap[l] + 1 < m) ? lms[lmsMap[l] + 1] : n;
                var endR = (lmsMap[r] + 1 < m) ? lms[lmsMap[r] + 1] : n;
                var same = true;
                if (endL - l != endR - r) same = false;
                else
                {
                    while (l < endL)
                    {
                        if (s[l] != s[r]) break;
                        ++l;
                        ++r;
                    }
                    same = (l != n && s[l] == s[r]);
                }
                if (!same) ++recUpper;
                recS[lmsMap[sortedLms[i]]] = recUpper;
            }

            var recSa = SaIs(recS, recUpper);
            for (var i = 0; i < m; ++i) sortedLms[i] = lms[recSa[i]];
            induce(sortedLms);
        }
        return sa;
    }
    // クヌース-モリス-プラット法
    static int[] InitKmp<T>(T[] w) where T : IEquatable<T>
    {
        var result = new int[w.Length];
        result[0] = -1;
        if (w.Length > 1) result[1] = 0;
        var pos = 0;
        for (var i = 1; i < result.Length - 1; ++i)
        {
            if (w[pos].Equals(w[i])) ++pos;
            else pos = 0;
            result[i + 1] = pos;
        }
        return result;
    }
    static int KMPSearch<T>(T[] s, T[] w, int start, int[] subTable) where T : IEquatable<T>
    {
        var m = start;
        var i = 0;
        while (m + i < s.Length)
        {
            if (s[m + i].Equals(w[i]))
            {
                ++i;
                if (i == w.Length) return m;
            }
            else
            {
                ++m;
                if (i > 0)
                {
                    m += i - subTable[i];
                    i = subTable[i];
                }
            }
        }
        return -1;
    }
}
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