結果

問題 No.2257 Swim and Sleep
ユーザー 👑 hos.lyrichos.lyric
提出日時 2023-03-24 23:34:49
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 1,469 ms / 2,000 ms
コード長 11,900 bytes
コンパイル時間 1,748 ms
コンパイル使用メモリ 159,408 KB
実行使用メモリ 188,700 KB
最終ジャッジ日時 2024-06-22 17:41:28
合計ジャッジ時間 23,953 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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 1,092 ms
125,880 KB
testcase_01 AC 1,112 ms
125,652 KB
testcase_02 AC 1,092 ms
125,904 KB
testcase_03 AC 1,345 ms
188,700 KB
testcase_04 AC 1,405 ms
186,368 KB
testcase_05 AC 1,463 ms
187,968 KB
testcase_06 AC 1,469 ms
184,500 KB
testcase_07 AC 1,236 ms
157,220 KB
testcase_08 AC 1,225 ms
159,796 KB
testcase_09 AC 1,263 ms
157,400 KB
testcase_10 AC 1,085 ms
126,076 KB
testcase_11 AC 1,084 ms
126,276 KB
testcase_12 AC 1,061 ms
126,200 KB
testcase_13 AC 1,066 ms
125,892 KB
testcase_14 AC 1,087 ms
126,156 KB
testcase_15 AC 1,090 ms
125,760 KB
testcase_16 AC 1,078 ms
126,368 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
/home/linuxbrew/.linuxbrew/opt/dmd/include/dlang/dmd/std/numeric.d(2999): Warning: cannot inline function `std.numeric.gcdImpl!uint.gcdImpl`
/home/linuxbrew/.linuxbrew/opt/dmd/include/dlang/dmd/std/numeric.d(2999): Warning: cannot inline function `std.numeric.gcdImpl!ulong.gcdImpl`

ソースコード

diff # 

import std.conv, std.functional, std.range, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }

struct ModInt(uint M_) {
  import std.conv : to;
  alias M = M_;
  uint x;
  this(ModInt a) { x = a.x; }
  this(uint x_) { x = x_ % M; }
  this(ulong x_) { x = cast(uint)(x_ % M); }
  this(int x_) { x = ((x_ %= cast(int)(M)) < 0) ? (x_ + cast(int)(M)) : x_; }
  this(long x_) { x = cast(uint)(((x_ %= cast(long)(M)) < 0) ? (x_ + cast(long)(M)) : x_); }
  ref ModInt opAssign(T)(inout(T) a) if (is(T == uint) || is(T == ulong) || is(T == int) || is(T == long)) { return this = ModInt(a); }
  ref ModInt opOpAssign(string op, T)(T a) {
    static if (is(T == ModInt)) {
      static if (op == "+") { x = ((x += a.x) >= M) ? (x - M) : x; }
      else static if (op == "-") { x = ((x -= a.x) >= M) ? (x + M) : x; }
      else static if (op == "*") { x = cast(uint)((cast(ulong)(x) * a.x) % M); }
      else static if (op == "/") { this *= a.inv(); }
      else static assert(false);
      return this;
    } else static if (op == "^^") {
      if (a < 0) return this = inv()^^(-a);
      ModInt b = this, c = 1U;
      for (long e = a; e; e >>= 1) { if (e & 1) c *= b; b *= b; }
      return this = c;
    } else {
      return mixin("this " ~ op ~ "= ModInt(a)");
    }
  }
  ModInt inv() const {
    uint a = M, b = x; int y = 0, z = 1;
    for (; b; ) { const q = a / b; const c = a - q * b; a = b; b = c; const w = y - cast(int)(q) * z; y = z; z = w; }
    assert(a == 1); return ModInt(y);
  }
  ModInt opUnary(string op)() const {
    static if (op == "+") { return this; }
    else static if (op == "-") { ModInt a; a.x = x ? (M - x) : 0U; return a; }
    else static assert(false);
  }
  ModInt opBinary(string op, T)(T a) const { return mixin("ModInt(this) " ~ op ~ "= a"); }
  ModInt opBinaryRight(string op, T)(T a) const { return mixin("ModInt(a) " ~ op ~ "= this"); }
  bool opCast(T: bool)() const { return (x != 0U); }
  string toString() const { return x.to!string; }
}

enum MO = 998244353;
alias Mint = ModInt!MO;


void main() {
  auto subete = new int[][][][][](8 + 1, 8 + 1);
  int[][][] sugoi;
  
  //*
  // debug {
    foreach (m; 1 .. 8 + 1) foreach (n; 1 .. 8 + 1) {
    // foreach (m; [4]) foreach (n; [4]) {
      // writefln("m = %s, n = %s", m, n);
      // writeln;
      
      const g = gcd(m, n);
      int cnt;
      
      auto a = new int[][](m, n);
      auto fs = new int[4][m];
      auto gs = new int[4][n];
      auto ps = new int[4][g];
      auto qs = new int[4][g];
      bool covered() {
        {
          bool ok = true;
          foreach (x; 0 .. m) ok = ok && (fs[x][1] == n || fs[x][3] == n);
          if (ok) return true;
        }
        {
          bool ok = true;
          foreach (y; 0 .. n) ok = ok && (gs[y][0] == m || gs[y][2] == m);
          if (ok) return true;
        }
        foreach (s; 0 .. 2) {
          bool ok = true;
          foreach (x; 0 .. m) foreach (y; 0 .. n) ok = ok && (((x + y + s) & 1) == (a[x][y] & 1));
          if (ok) return true;
        }
        {
          bool ok = true;
          foreach (z; 0 .. g) ok = ok && (ps[z][0] == m * n / g || ps[z][1] == m * n / g || ps[z][2] == m * n / g || ps[z][3] == m * n / g);
          if (ok) return true;
        }
        {
          bool ok = true;
          foreach (w; 0 .. g) ok = ok && (qs[w][0] == m * n / g || qs[w][1] == m * n / g || qs[w][2] == m * n / g || qs[w][3] == m * n / g);
          if (ok) return true;
        }
        
        return false;
      }
      void dfs(int x, int y) {
        if (x == m) {
          ++cnt;
          
          auto aa = new int[][](m, n);
          foreach (xx; 0 .. m) foreach (yy; 0 .. n) aa[xx][yy] = a[xx][yy];
          subete[m][n] ~= aa;
          
          if (!covered) {
            /*
            foreach (xx; 0 .. m) {
              foreach (yy; 0 .. n) {
                write("v>^<"[a[xx][yy]]);
              }
              writeln;
            }
            writeln;
            */
            // !
            assert(g % 4 == 0);
            foreach (xx; 0 .. m) foreach (yy; 0 .. n) {
              assert(a[xx][yy] == a[xx % 4][yy % 4]);
            }
            if (m == 4 && n == 4) {
              sugoi ~= aa;
            }
          }
        } else if (y == n) {
          dfs(x + 1, 0);
        } else {
          foreach (b; 0 .. 4) {
            a[x][y] = b;
            const z = (x + y) % g;
            const w = (x + (n - y)) % g;
            ++fs[x][b];
            ++gs[y][b];
            ++ps[z][b];
            ++qs[w][b];
            bool ok = true;
            ok = ok && !(fs[x][1] && fs[x][3]);
            ok = ok && !(gs[y][0] && gs[y][2]);
            ok = ok && !(ps[z][0] && ps[z][1]);
            ok = ok && !(ps[z][2] && ps[z][3]);
            ok = ok && !(qs[w][0] && qs[w][3]);
            ok = ok && !(qs[w][2] && qs[w][1]);
            if (ok) {
              dfs(x, y + 1);
            }
            --fs[x][b];
            --gs[y][b];
            --ps[z][b];
            --qs[w][b];
          }
        }
      }
      dfs(0, 0);
      
      stderr.writeln(m, " ", n, ": ", cnt);
      stderr.flush;
      // writeln('-'.repeat(80).array);
      // writeln;
      // stdout.flush;
    }
// return;
  // }
  //*/
  
  try {
    for (; ; ) {
      const numCases = readInt;
      foreach (caseId; 0 .. numCases) {
        const M = readLong;
        const N = readLong;
        const K = readInt;
        auto X = new long[K];
        auto Y = new long[K];
        auto D = new long[K];
        foreach (k; 0 .. K) {
          X[k] = readInt;
          Y[k] = readInt;
          D[k] = "RULD".indexOf(readToken[0]);
        }
        
        const G = gcd(M, N);
        debug {
          writefln("M = %s, N = %s, G = %s", M, N, G);
          writeln("X = ", X);
          writeln("Y = ", Y);
          writeln("D = ", D);
        }
        
        
        int[long] fs, gs, ps, qs;
        foreach (k; 0 .. K) {
          const x = X[k];
          const y = Y[k];
          const z = (x + y) % G;
          const w = (x + N - y) % G;
          if (x !in fs) fs[x] = 0;
          if (y !in gs) gs[y] = 0;
          if (z !in ps) ps[z] = 0;
          if (w !in qs) qs[w] = 0;
          fs[x] |= 1 << D[k];
          gs[y] |= 1 << D[k];
          ps[z] |= 1 << D[k];
          qs[w] |= 1 << D[k];
        }
        debug {
          writeln("fs = ", fs);
          writeln("gs = ", gs);
          writeln("ps = ", ps);
          writeln("qs = ", qs);
        }
        int all;
        foreach (k; 0 .. K) {
          all |= 1 << D[k];
        }
        
        Mint ans;
        
        // trivial each x
        {
          bool ok = true;
          long m = M;
          foreach (x, f; fs) {
            ok = ok && (f == 1 << 1 || f == 1 << 3);
            --m;
          }
          if (ok) {
            debug {
              writefln("trivial each x: m = %s", m);
            }
            ans += Mint(2)^^m;
          }
        }
        
        // trivial each y
        {
          bool ok = true;
          long n = N;
          foreach (y, g; gs) {
            ok = ok && (g == 1 << 0 || g == 1 << 2);
            --n;
          }
          if (ok) {
            debug {
              writefln("trivial each y: n = %s", n);
            }
            ans += Mint(2)^^n;
          }
        }
        
        // 2 special
        bool[2] oks;
        if (G % 2 == 0) {
          foreach (s; 0 .. 2) {
            bool ok = true;
            foreach (k; 0 .. K) {
              ok = ok && (((X[k] + Y[k] + s) & 1) == (D[k] & 1));
            }
            long m = M, n = N;
            foreach (x, f; fs) {
              ok = ok && !((f >> 1 & 1) && (f >> 3 & 1));
              if ((f >> 1 & 1) || (f >> 3 & 1)) --m;
            }
            foreach (y, g; gs) {
              ok = ok && !((g >> 0 & 1) && (g >> 2 & 1));
              if ((g >> 0 & 1) || (g >> 2 & 1)) --n;
            }
            if (ok) {
              debug {
                writefln("2 special: s = %s, m = %s, n = %s", s, m, n);
              }
              ans += Mint(2)^^(m + n);
            }
            oks[s] = ok;
          }
        }
        debug {
          writeln("oks = ", oks);
        }
        
        // other z
        foreach (i; 0 .. 2) {
          int d0, d1;
          final switch (i) {
            case 0: d0 = 0; d1 = 1; break;
            case 1: d0 = 2; d1 = 3; break;
          }
          bool ok = true;
          long g = G;
          foreach (z, p; ps) {
            ok = ok && (p == 1 << d0 || p == 1 << d1);
            --g;
          }
          if (ok) {
            Mint way = Mint(2)^^g;
            if (all == 0 || all == 1 << d0) way -= 1;
            if (all == 0 || all == 1 << d1) way -= 1;
            foreach (s; 0 .. 2) if (oks[s]) way -= 1;
            debug {
              writefln("other z: d0 = %s, d1 = %s, way = %s", d0, d1, way);
            }
            ans += way;
          }
        }
        
        // other w
        foreach (i; 0 .. 2) {
          int d0, d1;
          final switch (i) {
            case 0: d0 = 0; d1 = 3; break;
            case 1: d0 = 1; d1 = 2; break;
          }
          bool ok = true;
          long g = G;
          foreach (w, q; qs) {
            ok = ok && (q == 1 << d0 || q == 1 << d1);
            --g;
          }
          if (ok) {
            Mint way = Mint(2)^^g;
            if (all == 0 || all == 1 << d0) way -= 1;
            if (all == 0 || all == 1 << d1) way -= 1;
            foreach (s; 0 .. 2) if (oks[s]) way -= 1;
            debug {
              writefln("other w: d0 = %s, d1 = %s, way = %s", d0, d1, way);
            }
            ans += way;
          }
        }
        
        if (G % 4 == 0) {
          int[4][4] b;
          foreach (k; 0 .. K) {
            b[X[k] % 4][Y[k] % 4] |= 1 << D[k];
          }
          foreach (a; sugoi) {
            bool ok = true;
            foreach (x; 0 .. 4) foreach (y; 0 .. 4) {
              ok = ok && (b[x][y] == 0 || b[x][y] == 1 << a[x][y]);
            }
            if (ok) {
              debug {
                writeln("sugoi ", a);
              }
              ans += 1;
            }
          }
        }
        
        writeln(ans);
        
        debug {
          if (M <= 8 && N <= 8) {
            int brt;
            foreach (a; subete[M][N]) {
              bool ok = true;
              foreach (k; 0 .. K) {
                ok = ok && (a[X[k]][Y[k]] == D[k]);
              }
              if (ok) {
                ++brt;
                if (M <= 4 && N <= 4) {
                  writeln("brt ", a);
                }
              }
            }
            writeln("brt = ", brt);
            assert(Mint(brt) == ans);
          }
        }
      }
    }
  } catch (EOFException e) {
  }
}
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