結果

問題 No.1030 だんしんぐぱーりない
コンテスト
ユーザー kakel-san
提出日時 2025-11-07 00:06:49
言語 C#
(.NET 8.0.404)
結果
AC  
実行時間 983 ms / 2,000 ms
コード長 8,559 bytes
コンパイル時間 8,718 ms
コンパイル使用メモリ 168,472 KB
実行使用メモリ 194,152 KB
最終ジャッジ日時 2025-11-07 00:07:25
合計ジャッジ時間 34,446 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
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 * 2
other AC * 40
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 (121 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 #

using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;
using System.Globalization;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    static int[] NMi => ReadLine().Split().Select(c => int.Parse(c) - 1).ToArray();
    static int[][] NMap(int n) => Enumerable.Repeat(0, n).Select(_ => NMi).ToArray();

    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var m = NList;
        var (n, k, q) = (m[0], m[1], m[2]);
        var c = NList;
        var a = NMi;
        var map = NMap(n - 1);
        var query = NArr(q);

        var tree = new List<int>[n];
        for (var i = 0; i < n; ++i) tree[i] = new List<int>();
        foreach (var edge in map)
        {
            tree[edge[0]].Add(edge[1]);
            tree[edge[1]].Add(edge[0]);
        }
        lca = new LCA(tree);
        var maxc = (int[])c.Clone();
        MaxC(0, -1, tree, maxc);

        var seg = new SegmentTree<int>(a, new SegOp());
        var ans = new List<int>();
        foreach (var que in query)
        {
            if (que[0] == 1)
            {
                seg[que[1] - 1] = que[2] - 1;
            }
            else
            {
                ans.Add(maxc[seg.Prod(que[1] - 1, que[2])]);
            }
        }
        WriteLine(string.Join("\n", ans));
    }
    static void MaxC(int cur, int prev, List<int>[] tree, int[] maxc)
    {
        foreach (var next in tree[cur])
        {
            if (prev == next) continue;
            maxc[next] = Math.Max(maxc[next], maxc[cur]);
            MaxC(next, cur, tree, maxc);
        }
    }
    static LCA lca;
    struct SegOp : ISegmentTreeOperator<int>
    {
        public int Identity => -1;

        public int Operate(int x, int y)
        {
            if (x == Identity) return y;
            if (y == Identity) return x;
            return lca.GetLCA(x, y);
        }
    }
    interface ISegmentTreeOperator<T>
    {
        T Identity { get; }
        T Operate(T x, T y);
    }
    class SegmentTree<T>
    {
        int _n;
        int size;
        int log;
        T[] d;
        ISegmentTreeOperator<T> op;
        void Update(int k)
        {
            d[k] = op.Operate(d[2 * k], d[2 * k + 1]);
        }
        public SegmentTree(int n, ISegmentTreeOperator<T> op)
        {
            this.op = op;
            _n = n;
            size = 1;
            while (size < n) size <<= 1;
            log = CountRZero(size);
            d = new T[2 * size];
            for (var i = 0; i < d.Length; ++i) d[i] = op.Identity;
        }
        public SegmentTree(T[] v, ISegmentTreeOperator<T> op)
        {
            this.op = op;
            _n = v.Length;
            size = 1;
            while (size < v.Length) size <<= 1;
            log = CountRZero(size);
            d = new T[2 * size];
            for (var i = 0; i < d.Length; ++i) d[i] = op.Identity;
            for (var i = 0; i < v.Length; ++i) d[size + i] = v[i];
            for (var i = size - 1; i >= 1; --i) Update(i);
        }
        int CountRZero(int n)
        {
            var ans = 0;
            while (n % 2 == 0)
            {
                ++ans;
                n >>= 1;
            }
            return ans;
        }
        public T this[int p]
        {
            get { return d[p + size]; }
            set
            {
                p += size;
                d[p] = value;
                for (var i = 1; i <= log; ++i) Update(p >> i);
            }
        }
        public T Prod(int l, int r)
        {
            var sml = op.Identity;
            var smr = op.Identity;
            l += size;
            r += size;
            while (l < r)
            {
                if ((l & 1) != 0) sml = op.Operate(sml, d[l++]);
                if ((r & 1) != 0) smr = op.Operate(d[--r], smr);
                l >>= 1;
                r >>= 1;
            }
            return op.Operate(sml, smr);
        }
        T AllProd() => d[1];
        int MinLeft(int r, Predicate<T> f)
        {
            if (r == 0) return 0;
            r += size;
            T sm = op.Identity;
            do
            {
                r--;
                while (r > 1 && (r % 2) != 0) r >>= 1;
                if (!f(op.Operate(d[r], sm)))
                {
                    while (r < size)
                    {
                        r = 2 * r + 1;
                        if (f(op.Operate(d[r], sm)))
                        {
                            sm = op.Operate(d[r], sm);
                            r--;
                        }
                    }
                    return r + 1 - size;
                }
                sm = op.Operate(d[r], sm);
            }
            while ((r & -r) != r);
            return 0;
        }
        public int MaxRight(int l, Predicate<T> f)
        {
            if (l == _n) return _n;
            l += size;
            T sm = op.Identity;
            do
            {
                while (l % 2 == 0) l >>= 1;
                if (!f(op.Operate(sm, d[l])))
                {
                    while (l < size)
                    {
                        l = 2 * l;
                        if (f(op.Operate(sm, d[l])))
                        {
                            sm = op.Operate(sm, d[l]);
                            ++l;
                        }
                    }
                    return l - size;
                }
                sm = op.Operate(sm, d[l]);
                ++l;
            } while ((l & -l) != l);
            return _n;
        }
    }
    class LCA
    {
        int[] depth;
        List<int>[] dmap;
        public LCA(List<int>[] tree)
        {
            depth = new int[tree.Length];
            var maxDepth = DepthList(-1, 0, 0, tree, depth);

            dmap = new List<int>[tree.Length];
            for (var i = 0; i < dmap.Length; ++i) dmap[i] = new List<int>();
            for (var i = 0; i < dmap.Length; ++i)
            {
                var nx = -1;
                foreach (var next in tree[i])
                {
                    if (depth[next] < depth[i]) nx = next;
                }
                dmap[i].Add(nx);
            }
            for (int d = 2, j = 0; d <= maxDepth; d *= 2, ++j) for (var i = 0; i < dmap.Length; ++i)
            {
                var nx = -1;
                if (dmap[i][j] > -1) nx = dmap[dmap[i][j]][j];
                dmap[i].Add(nx);
            }
        }
        public int Distance(int x, int y)
        {
            var (d, lca) = _Distance(x, y);
            return d;
        }
        public int GetLCA(int x, int y)
        {
            var (d, lca) = _Distance(x, y);
            return lca;
        }
        (int d, int lca) _Distance(int x, int y)
        {
            var res = 0;
            if (depth[x] < depth[y]) { var tmp = x; x = y; y = tmp; }
            while (depth[x] > depth[y])
            {
                for (var b = dmap[x].Count - 1; b >= 0; --b)
                {
                    var move = 1 << b;
                    if (depth[x] - depth[y] >= move)
                    {
                        x = dmap[x][b];
                        res += move;
                    }
                }
            }
            for (var b = dmap[x].Count - 1; b >= 0; --b)
            {
                if (dmap[x][b] != dmap[y][b])
                {
                    x = dmap[x][b];
                    y = dmap[y][b];
                    res += 2 << b;
                }
            }
            var lca = x;
            if (x != y)
            {
                res += 2;
                lca = dmap[x][0];
            }
            return (res, lca);
        }
        int DepthList(int prev, int cur, int d, List<int>[] tree, int[] depth)
        {
            depth[cur] = d;
            var max = d;
            foreach (var next in tree[cur])
            {
                if (next == prev) continue;
                max = Math.Max(max, DepthList(cur, next, d + 1, tree, depth));
            }
            return max;
        }
    }
}
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