結果

問題 No.1649 Manhattan Square
ユーザー りあんりあん
提出日時 2021-08-13 21:59:57
言語 C#(csc)
(csc 3.9.0)
結果
AC  
実行時間 1,527 ms / 3,000 ms
コード長 8,802 bytes
コンパイル時間 3,548 ms
コンパイル使用メモリ 115,688 KB
実行使用メモリ 66,736 KB
最終ジャッジ日時 2023-08-08 08:22:28
合計ジャッジ時間 63,599 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge14
このコードへのチャレンジ（β）

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 70 ms
21,708 KB
testcase_01 AC 68 ms
21,704 KB
testcase_02 AC 83 ms
21,868 KB
testcase_03 AC 83 ms
21,800 KB
testcase_04 AC 83 ms
23,932 KB
testcase_05 AC 84 ms
21,972 KB
testcase_06 AC 84 ms
23,956 KB
testcase_07 AC 1,486 ms
62,552 KB
testcase_08 AC 1,469 ms
64,568 KB
testcase_09 AC 1,481 ms
64,568 KB
testcase_10 AC 1,457 ms
64,592 KB
testcase_11 AC 1,454 ms
64,640 KB
testcase_12 AC 1,485 ms
62,660 KB
testcase_13 AC 1,475 ms
64,648 KB
testcase_14 AC 1,498 ms
62,596 KB
testcase_15 AC 1,485 ms
62,552 KB
testcase_16 AC 1,527 ms
60,508 KB
testcase_17 AC 1,479 ms
64,768 KB
testcase_18 AC 1,506 ms
60,604 KB
testcase_19 AC 1,472 ms
64,796 KB
testcase_20 AC 1,476 ms
60,568 KB
testcase_21 AC 1,478 ms
64,688 KB
testcase_22 AC 1,474 ms
64,716 KB
testcase_23 AC 1,459 ms
60,508 KB
testcase_24 AC 1,467 ms
62,676 KB
testcase_25 AC 1,442 ms
64,740 KB
testcase_26 AC 1,469 ms
66,736 KB
testcase_27 AC 1,472 ms
62,816 KB
testcase_28 AC 1,455 ms
64,736 KB
testcase_29 AC 1,464 ms
64,656 KB
testcase_30 AC 1,442 ms
62,796 KB
testcase_31 AC 1,439 ms
64,656 KB
testcase_32 AC 1,435 ms
64,640 KB
testcase_33 AC 1,465 ms
64,812 KB
testcase_34 AC 1,451 ms
62,540 KB
testcase_35 AC 1,457 ms
64,708 KB
testcase_36 AC 1,494 ms
64,736 KB
testcase_37 AC 1,462 ms
64,648 KB
testcase_38 AC 1,491 ms
64,680 KB
testcase_39 AC 1,479 ms
64,716 KB
testcase_40 AC 1,498 ms
64,716 KB
testcase_41 AC 1,459 ms
64,696 KB
testcase_42 AC 1,345 ms
64,664 KB
testcase_43 AC 71 ms
21,708 KB
testcase_44 AC 70 ms
21,816 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
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc)
Copyright (C) Microsoft Corporation. All rights reserved.

ソースコード

diff # 

using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Threading;
using System.Text;
using System.Text.RegularExpressions;
using System.Diagnostics;
using static util;
using P = pair<int, int>;
using Number = System.Int64;

class Program {
    static void Main(string[] args) {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        var solver = new Solver(sw);
        // var t = new Thread(solver.solve, 1 << 28); // 256 MB
        // t.Start();
        // t.Join();
        solver.solve();
        sw.Flush();
    }
}

class Solver {
    StreamWriter sw;
    Scan sc;
    void Prt(string a) => sw.WriteLine(a);
    void Prt<T>(IEnumerable<T> a) => Prt(string.Join(" ", a));
    void Prt(params object[] a) => Prt(string.Join(" ", a));
    public Solver(StreamWriter sw) {
        this.sw = sw;
        this.sc = new Scan();
    }

    public void solve() {
        int n = sc.Int;
        var p = new P[n];
        for (int i = 0; i < n; i++)
        {
            p[i] = sc.P;
        }
        long s1 = calc(p.Select(x => new P(x.v1, x.v1)).ToArray());
        long s2 = calc(p.Select(x => new P(x.v2, x.v2)).ToArray());
        long s3 = calc(p);
        Prt((s1 + s2 + s3 * 2) % M);



    }
    long calc(P[] p) {
        int n = p.Length;
        Array.Sort(p);
        var ys = p.Select(x => x.v2).ToArray();
        var idx = new int[n];
        for (int i = 0; i < n; i++)
        {
            idx[i] = i;
        }
        Array.Sort(ys, idx);
        var rev = new int[n];
        for (int i = 0; i < n; i++)
        {
            rev[idx[i]] = i;
        }
        var bit = new BIT(n);
        var bit2 = new BIT(n);
        var bit3 = new BIT(n);
        var bit4 = new BIT(n);
        for (int i = 0; i < n; i++)
        {
            bit.add(rev[i], p[i].v1 * (long)p[i].v2 % M);
            bit2.add(rev[i], p[i].v1);
            bit3.add(rev[i], p[i].v2);
            bit4.add(rev[i], 1);
        }
        long sum = 0;
        for (int i = 0; i < n; i++)
        {
            {
                long c = bit2.sum(rev[i]) % M;
                long s = bit.sum(rev[i]) % M;
                long l = bit3.sum(rev[i]) % M;
                long cc = bit4.sum(rev[i]) % M;
                sum += c * p[i].v2 % M - s - (p[i].v2 * cc % M - l) % M * p[i].v1 % M;
            }
            {
                long c = bit2.sum(rev[i] + 1, n) % M;
                long s = bit.sum(rev[i] + 1, n) % M;
                long l = bit3.sum(rev[i] + 1, n) % M;
                long cc = bit4.sum(rev[i] + 1, n) % M;
                sum += s - c * p[i].v2 % M - (l - p[i].v2 * cc % M) % M * p[i].v1 % M;
            }
            sum = (sum % M + M) % M;
            bit.add(rev[i], -(p[i].v1 * (long)p[i].v2 % M));
            bit2.add(rev[i], -p[i].v1);
            bit3.add(rev[i], -p[i].v2);
            bit4.add(rev[i], -1);
        }
        return sum;
    }
}

class pair<T, U> : IComparable<pair<T, U>> {
    public T v1;
    public U v2;
    public pair() : this(default(T), default(U)) {}
    public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; }
    public int CompareTo(pair<T, U> a) {
        int c = Comparer<T>.Default.Compare(v1, a.v1);
        return c != 0 ? c : Comparer<U>.Default.Compare(v2, a.v2);
    }
    public override string ToString() => $"{v1} {v2}";
    public void Deconstruct(out T a, out U b) { a = v1; b = v2; }
}
static class util {
    // public static readonly int M = 1000000007;
    public static readonly int M = 998244353;
    public static readonly long LM = 1L << 60;
    public static readonly double eps = 1e-11;
    public static void DBG(string a) => Console.Error.WriteLine(a);
    public static void DBG<T>(IEnumerable<T> a) => DBG(string.Join(" ", a));
    public static void DBG(params object[] a) => DBG(string.Join(" ", a));
    public static void Assert(params bool[] conds) {
        if (conds.Any(x => !x)) throw new Exception();
    }
    public static pair<T, U> make_pair<T, U>(T v1, U v2) => new pair<T, U>(v1, v2);
    public static int CompareList<T>(IList<T> a, IList<T> b) where T : IComparable<T> {
        for (int i = 0; i < a.Count && i < b.Count; i++)
            if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]);
        return a.Count.CompareTo(b.Count);
    }
    public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w;
    public static readonly int[] dd = { 0, 1, 0, -1 };
    // static readonly string dstring = "RDLU";
    public static IEnumerable<P> adjacents(int i, int j) {
        for (int k = 0; k < 4; k++) yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(int i, int j, int h, int w) {
        for (int k = 0; k < 4; k++) if (inside(i + dd[k], j + dd[k ^ 1], h, w))
            yield return new P(i + dd[k], j + dd[k ^ 1]);
    }
    public static IEnumerable<P> adjacents(this P p) => adjacents(p.v1, p.v2);
    public static IEnumerable<P> adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w);
    public static IEnumerable<int> all_subset(this int p) {
        for (int i = 0; ; i = i - p & p) {
            yield return i;
            if (i == p) break;
        }
    }
    public static Dictionary<T, int> compress<T>(this IEnumerable<T> a)
        => a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i);
    public static Dictionary<T, int> compress<T>(params IEnumerable<T>[] a)
        => compress(a.SelectMany(x => x));
    public static T[] inv<T>(this Dictionary<T, int> dic) {
        var res = new T[dic.Count];
        foreach (var item in dic) res[item.Value] = item.Key;
        return res;
    }
    public static void swap<T>(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; }
    public static void swap<T>(this IList<T> a, int i, int j) where T : struct {
        var t = a[i]; a[i] = a[j]; a[j] = t;
    }
    public static T[] copy<T>(this IList<T> a) {
        var ret = new T[a.Count];
        for (int i = 0; i < a.Count; i++) ret[i] = a[i];
        return ret;
    }
}

class Scan {
    StreamReader sr;
    public Scan() { sr = new StreamReader(Console.OpenStandardInput()); }
    public Scan(string path) { sr = new StreamReader(path); }
    public int Int => int.Parse(Str);
    public long Long => long.Parse(Str);
    public double Double => double.Parse(Str);
    public string Str => ReadLine.Trim();
    public string ReadLine => sr.ReadLine();
    public pair<T, U> Pair<T, U>() {
        T a; U b;
        Multi(out a, out b);
        return new pair<T, U>(a, b);
    }
    public P P => Pair<int, int>();
    public int[] IntArr => StrArr.Select(int.Parse).ToArray();
    public long[] LongArr => StrArr.Select(long.Parse).ToArray();
    public double[] DoubleArr => StrArr.Select(double.Parse).ToArray();
    public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries);
    bool eq<T, U>() => typeof(T).Equals(typeof(U));
    T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
    T cv<T>(string s) => eq<T, int>()    ? ct<T, int>(int.Parse(s))
                       : eq<T, long>()   ? ct<T, long>(long.Parse(s))
                       : eq<T, double>() ? ct<T, double>(double.Parse(s))
                       : eq<T, char>()   ? ct<T, char>(s[0])
                                         : ct<T, string>(s);
    public void Multi<T>(out T a) => a = cv<T>(Str);
    public void Multi<T, U>(out T a, out U b) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]);
    }
    public void Multi<T, U, V>(out T a, out U b, out V c) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]);
    }
    public void Multi<T, U, V, W>(out T a, out U b, out V c, out W d) {
        var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]);
    }
    public void Multi<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e) {
        var ar = StrArr;
        a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); e = cv<X>(ar[4]);
    }
    public void Multi<T, U, V, W, X, Y>(out T a, out U b, out V c, out W d, out X e, out Y f) {
        var ar = StrArr;
        a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]);
        d = cv<W>(ar[3]); e = cv<X>(ar[4]); f = cv<Y>(ar[5]);
    }
}

class BIT {
    int n;
    Number[] bit;
    public BIT(int n) {
        this.n = n;
        bit = new Number[n];
    }
    public void add(int j, Number w) {
        for (int i = j; i < n; i |= i + 1) bit[i] += w;
    }
    public Number sum(int j) {
        Number res = 0;
        for (int i = j - 1; i >= 0; i = (i & i + 1) - 1) res += bit[i];
        return res;
    }
    public Number sum(int j, int k) => sum(k) - sum(j);
}
0