結果

問題 No.621 3 x N グリッド上のドミノの置き方の数
ユーザー te-shte-sh
提出日時 2018-01-11 11:29:33
言語 D
(dmd 2.106.1)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 4,588 bytes
コンパイル時間 402 ms
コンパイル使用メモリ 128,412 KB
最終ジャッジ日時 2024-11-14 20:19:03
合計ジャッジ時間 747 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
Main.d(13): Deprecation: foreach: loop index implicitly converted from `size_t` to `int`
/home/linuxbrew/.linuxbrew/opt/dmd/include/dlang/dmd/std/format/internal/write.d(143): Error: cannot implicitly convert expression `obj` of type `const(FactorRing!(1000000007, false))` to `int`
/home/linuxbrew/.linuxbrew/opt/dmd/include/dlang/dmd/std/format/write.d(1239): Error: template instance `std.format.internal.write.formatValueImpl!(LockingTextWriter, FactorRing!(1000000007, false), char)` error instantiating
/home/linuxbrew/.linuxbrew/opt/dmd/include/dlang/dmd/std/format/write.d(632):        instantiated from here: `formatValue!(LockingTextWriter, FactorRing!(1000000007, false), char)`
/home/linuxbrew/.linuxbrew/opt/dmd/include/dlang/dmd/std/stdio.d(1759):        instantiated from here: `formattedWrite!(LockingTextWriter, char, FactorRing!(1000000007, false))`
/home/linuxbrew/.linuxbrew/opt/dmd/include/dlang/dmd/std/stdio.d(4277):        instantiated from here: `write!(FactorRing!(1000000007, false), char)`
Main.d(31):        instantiated from here: `writeln!(FactorRing!(1000000007, false))`

ソースコード

diff # 

import std.algorithm, std.conv, std.range, std.stdio, std.string;

const mod = 10^^9+7;
alias mint = FactorRing!mod;

const r = 3;

void main()
{
  auto stats = makeStats(), ns = stats.length.to!int;

  int[int] mi;
  foreach (int i, stat; stats) mi[stat] = i;

  auto m = new mint[][](ns, ns);
  foreach (si; stats)
    foreach (sj; canMoves(si))
      m[mi[sj]][mi[si]] = 1;

  auto u = new mint[][](ns, ns);
  foreach (i; 0..ns) u[i][i] = 1;

  auto n = readln.chomp.to!long;
  auto mp = repeatedSquare!(mint[][], matMul)(m, n, u);

  auto ans = mint(0);
  foreach (si; stats)
    if (!(si>>r))
      ans += mp[mi[si]][mi[(1<<r)-1]];

  writeln(ans);
}

auto makeStats()
{
  int[] stats;
  foreach (i; 0..1<<(r*2))
    if (!(iota(r).any!(j => !i.bitTest(j) && i.bitTest(r+j)) || iota(r-1).any!(j => !i.bitTest(j) && !i.bitTest(j+1))))
      stats ~= i;
  return stats;
}

auto canMoves(int prevStat)
{
  auto stat = (prevStat>>r);

  int[] canMoves(int stat, int j)
  {
    if (j == r) return [stat];
    if (stat.bitTest(j)) return canMoves(stat, j+1);
    int[] stats;
    if (prevStat.bitTest(j) && (j == 0 || stat.bitTest(j-1)))
      stats ~= canMoves(stat, j+1);
    stats ~= canMoves(stat.bitSet(j).bitSet(r+j), j+1);
    if (j < r-1 && !stat.bitTest(j+1))
      stats ~= canMoves(stat.bitSet(j).bitSet(j+1), j+2);
    return stats;
  }

  return canMoves(stat, 0);
}

pragma(inline) {
  pure bool bitTest(T)(T n, size_t i) { return (n & (T(1) << i)) != 0; }
  pure T bitSet(T)(T n, size_t i) { return n | (T(1) << i); }
  pure T bitReset(T)(T n, size_t i) { return n & ~(T(1) << i); }
  pure T bitComp(T)(T n, size_t i) { return n ^ (T(1) << i); }

  import core.bitop;
  pure int bsf(T)(T n) { return core.bitop.bsf(ulong(n)); }
  pure int bsr(T)(T n) { return core.bitop.bsr(ulong(n)); }
  pure int popcnt(T)(T n) { return core.bitop.popcnt(ulong(n)); }
}

pure T repeatedSquare(T, alias pred = "a * b", U)(T a, U n)
{
  return repeatedSquare(a, n, T(1));
}

pure T repeatedSquare(T, alias pred = "a * b", U)(T a, U n, T init)
{
  import std.functional;
  alias predFun = binaryFun!pred;

  if (n == 0) return init;

  auto r = init;
  while (n > 0) {
    if ((n & 1) == 1)
      r = predFun(r, a);
    a = predFun(a, a);
    n >>= 1;
  }

  return r;
}

T[][] matMul(T)(const T[][] a, const T[][] b)
{
  auto l = b.length, m = a.length, n = b[0].length;
  auto c = new T[][](m, n);
  foreach (i; 0..m) {
    static if (T.init != 0) c[i][] = 0;
    foreach (j; 0..n)
      foreach (k; 0..l)
        c[i][j] += a[i][k] * b[k][j];
  }
  return c;
}

struct FactorRing(int m, bool pos = false)
{
  version(BigEndian) {
    union { long vl; struct { int vi2; int vi; } }
  } else {
    union { long vl; int vi; }
  }

  static init() { return FactorRing!(m, pos)(0); }

  @property int toInt() { return vi; }
  alias toInt this;

  this(int v) { vi = v; }
  this(int v, bool runMod) { vi = runMod ? mod(v) : v; }
  this(long v) { vi = mod(v); }

  ref FactorRing!(m, pos) opAssign(int v) { vi = v; return this; }

  pure auto mod(int v) const
  {
    static if (pos) return v % m;
    else return (v % m + m) % m;
  }

  pure auto mod(long v) const
  {
    static if (pos) return cast(int)(v % m);
    else return cast(int)((v % m + m) % m);
  }

  static if (!pos) {
    pure auto opUnary(string op: "-")() const { return FactorRing!(m, pos)(mod(-vi)); }
  }

  static if (m < int.max / 2) {
    pure auto opBinary(string op: "+")(int rhs) const { return FactorRing!(m, pos)(mod(vi + rhs)); }
    pure auto opBinary(string op: "-")(int rhs) const { return FactorRing!(m, pos)(mod(vi - rhs)); }
  } else {
    pure auto opBinary(string op: "+")(int rhs) const { return FactorRing!(m, pos)(mod(vl + rhs)); }
    pure auto opBinary(string op: "-")(int rhs) const { return FactorRing!(m, pos)(mod(vl - rhs)); }
  }
  pure auto opBinary(string op: "*")(int rhs) const { return FactorRing!(m, pos)(mod(vl * rhs)); }

  pure auto opBinary(string op)(FactorRing!(m, pos) rhs) const
    if (op == "+" || op == "-" || op == "*") { return opBinary!op(rhs.vi); }

  static if (m < int.max / 2) {
    auto opOpAssign(string op: "+")(int rhs) { vi = mod(vi + rhs); }
    auto opOpAssign(string op: "-")(int rhs) { vi = mod(vi - rhs); }
  } else {
    auto opOpAssign(string op: "+")(int rhs) { vi = mod(vl + rhs); }
    auto opOpAssign(string op: "-")(int rhs) { vi = mod(vl - rhs); }
  }
  auto opOpAssign(string op: "*")(int rhs) { vi = mod(vl * rhs); }

  auto opOpAssign(string op)(FactorRing!(m, pos) rhs)
    if (op == "+" || op == "-" || op == "*") { return opOpAssign!op(rhs.vi); }
}
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