結果

問題 No.2293 無向辺 2-SAT
ユーザー KumaTachiRenKumaTachiRen
提出日時 2023-05-05 21:52:38
言語 C#
(.NET 8.0.203)
結果
AC  
実行時間 228 ms / 4,000 ms
コード長 16,550 bytes
コンパイル時間 12,146 ms
コンパイル使用メモリ 165,960 KB
実行使用メモリ 205,460 KB
最終ジャッジ日時 2024-11-23 07:07:04
合計ジャッジ時間 29,873 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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 43 ms
23,552 KB
testcase_01 AC 46 ms
27,264 KB
testcase_02 AC 42 ms
23,552 KB
testcase_03 AC 228 ms
44,800 KB
testcase_04 AC 178 ms
42,624 KB
testcase_05 AC 137 ms
40,960 KB
testcase_06 AC 138 ms
41,216 KB
testcase_07 AC 83 ms
40,960 KB
testcase_08 AC 151 ms
42,496 KB
testcase_09 AC 139 ms
42,368 KB
testcase_10 AC 136 ms
42,496 KB
testcase_11 AC 153 ms
42,752 KB
testcase_12 AC 142 ms
42,624 KB
testcase_13 AC 124 ms
39,552 KB
testcase_14 AC 114 ms
39,424 KB
testcase_15 AC 116 ms
38,784 KB
testcase_16 AC 150 ms
42,496 KB
testcase_17 AC 156 ms
41,216 KB
testcase_18 AC 156 ms
42,624 KB
testcase_19 AC 99 ms
34,560 KB
testcase_20 AC 163 ms
42,624 KB
testcase_21 AC 161 ms
42,360 KB
testcase_22 AC 162 ms
42,368 KB
testcase_23 AC 162 ms
42,624 KB
testcase_24 AC 160 ms
42,368 KB
testcase_25 AC 166 ms
42,368 KB
testcase_26 AC 165 ms
42,496 KB
testcase_27 AC 165 ms
42,240 KB
testcase_28 AC 161 ms
42,744 KB
testcase_29 AC 165 ms
42,240 KB
testcase_30 AC 169 ms
42,496 KB
testcase_31 AC 167 ms
41,728 KB
testcase_32 AC 150 ms
40,184 KB
testcase_33 AC 155 ms
40,320 KB
testcase_34 AC 150 ms
40,064 KB
testcase_35 AC 152 ms
40,184 KB
testcase_36 AC 150 ms
40,064 KB
testcase_37 AC 146 ms
40,304 KB
testcase_38 AC 153 ms
40,192 KB
testcase_39 AC 151 ms
40,320 KB
testcase_40 AC 150 ms
40,192 KB
testcase_41 AC 134 ms
38,392 KB
testcase_42 AC 137 ms
39,040 KB
testcase_43 AC 152 ms
39,808 KB
testcase_44 AC 157 ms
40,832 KB
testcase_45 AC 161 ms
41,464 KB
testcase_46 AC 169 ms
41,984 KB
testcase_47 AC 167 ms
42,112 KB
testcase_48 AC 164 ms
42,240 KB
testcase_49 AC 175 ms
42,240 KB
testcase_50 AC 176 ms
42,496 KB
testcase_51 AC 169 ms
42,368 KB
testcase_52 AC 163 ms
42,496 KB
testcase_53 AC 166 ms
40,824 KB
testcase_54 AC 169 ms
42,736 KB
testcase_55 AC 163 ms
205,460 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
  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 (100 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

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 uf = new UnionFind(2 * n);
        ModInt f = new ModInt(2).Pow(n);
        ModInt ans = f, inv2 = new ModInt(2).Inv();
        for (; q > 0; q--)
        {
            int type = ri;
            if (type == 1)
            {
                int u = ri - 1, v = ri - 1;
                if (!uf.IsSame(u, v))
                {
                    ans *= inv2;
                    uf.Unite(u, v);
                    uf.Unite(u + n, v + n);
                }
                if (uf.IsSame(u, u + n))
                {
                    ans = 0;
                }
            }
            if (type == 2)
            {
                int u = ri - 1, v = ri - 1;
                if (!uf.IsSame(u, v + n))
                {
                    ans *= inv2;
                    uf.Unite(u, v + n);
                    uf.Unite(u + n, v);
                }
                if (uf.IsSame(u, u + n))
                {
                    ans = 0;
                }
            }
            if (type == 3)
            {
                uf.Clear();
                ans = f;
            }
            Write(ans);
        }
    }

    public class UnionFind
    {
        int n;
        int[] p, sz;
        Stack<int> st;
        public UnionFind(int _n)
        {
            n = _n;
            p = new int[n];
            sz = new int[n];
            for (int i = 0; i < n; i++)
            {
                p[i] = i;
                sz[i] = 1;
            }
            st = new Stack<int>();
        }
        public void Clear()
        {
            while (st.Count > 0)
            {
                int i = st.Pop();
                p[i] = i;
                sz[i] = 1;
            }
        }
        public int Root(int x)
        {
            if (p[x] == x) return x;
            return p[x] = Root(p[x]);
        }
        public int Size(int x) => sz[Root(x)];
        public bool IsSame(int x, int y) => Root(x) == Root(y);
        public bool Unite(int x, int y)
        {
            st.Push(x);
            st.Push(y);
            int rx = Root(x), ry = Root(y);
            if (rx == ry) return false;
            p[ry] = rx;
            sz[rx] += sz[ry];
            return true;
        }
    }

    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
{
    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;
    }
    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;
    }
    public static int Ctz(long x)
    {
        if (x == 0) return -1;
        return Popcount((ulong)((x & -x) - 1));
    }
    public static int SafeMod(int x, int m)
    {
        int r = x % m;
        return r < 0 ? r + m : r;
    }
    public static long SafeMod(long x, long m)
    {
        long r = x % m;
        return r < 0 ? r + m : r;
    }
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static int Sign(long x) => x == 0 ? 0 : (x < 0 ? -1 : 1);
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static int DigitSum(long n, int d = 10) { long s = 0; while (n > 0) { s += n % d; n /= d; } return (int)s; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Floor(long a, long b) => a >= 0 ? a / b : (a + 1) / b - 1;
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Ceil(long a, long b) => a > 0 ? (a - 1) / b + 1 : a / b;
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static int Gcd(int a, int b) => b == 0 ? a : Gcd(b, a % b);
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static long Gcd(long a, long b) => b == 0 ? a : Gcd(b, a % b);
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap(ref int x, ref int y) { x ^= y; y ^= x; x ^= y; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap(ref long x, ref long y) { x ^= y; y ^= x; x ^= y; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)] public static void Swap<T>(ref T x, ref T y) { T t = y; y = x; x = t; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)] 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(MethodImplOptions.AggressiveInlining)] 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(MethodImplOptions.AggressiveInlining)] public static void Chmin<T>(ref T x, T y) where T : IComparable<T> { if (x.CompareTo(y) > 0) x = y; }
    [MethodImpl(MethodImplOptions.AggressiveInlining)] 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<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;
    }
}

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 class UnionFind
{
    int n;
    int[] p, sz;
    public UnionFind(int _n)
    {
        n = _n;
        p = new int[n];
        sz = new int[n];
        for (int i = 0; i < n; i++)
        {
            p[i] = i;
            sz[i] = 1;
        }
    }
    public void Clear()
    {
        for (int i = 0; i < n; i++)
        {
            p[i] = i;
            sz[i] = 1;
        }
    }
    public int Root(int x)
    {
        if (p[x] == x) return x;
        return p[x] = Root(p[x]);
    }
    public int Size(int x) => sz[Root(x)];
    public bool IsSame(int x, int y) => Root(x) == Root(y);
    public bool Unite(int x, int y)
    {
        int rx = Root(x), ry = Root(y);
        if (rx == ry) return false;
        p[ry] = rx;
        sz[rx] += sz[ry];
        return true;
    }
}
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