結果

問題 No.718 行列のできるフィボナッチ数列道場 (1)
ユーザー te-shte-sh
提出日時 2018-08-01 16:10:04
言語 D
(dmd 2.107.1)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,711 bytes
コンパイル時間 542 ms
コンパイル使用メモリ 127,840 KB
最終ジャッジ日時 2023-09-03 20:50:20
合計ジャッジ時間 1,469 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge12
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コンパイルメッセージ
Main.d(66): Deprecation: usage of the `body` keyword is deprecated. Use `do` instead.
Main.d(73): Deprecation: usage of the `body` keyword is deprecated. Use `do` instead.
Main.d(80): Deprecation: usage of the `body` keyword is deprecated. Use `do` instead.
/dmd2/linux/bin64/../../src/phobos/std/format/internal/write.d(164): Error: cannot implicitly convert expression `obj` of type `const(FactorRing!(1000000007, false))` to `int`
/dmd2/linux/bin64/../../src/phobos/std/format/write.d(1239): Error: template instance `std.format.internal.write.formatValueImpl!(LockingTextWriter, FactorRing!(1000000007, false), char)` error instantiating
/dmd2/linux/bin64/../../src/phobos/std/format/write.d(632):        instantiated from here: `formatValue!(LockingTextWriter, FactorRing!(1000000007, false), char)`
/dmd2/linux/bin64/../../src/phobos/std/stdio.d(1722):        instantiated from here: `formattedWrite!(LockingTextWriter, char, FactorRing!(1000000007, false))`
/dmd2/linux/bin64/../../src/phobos/std/stdio.d(4237):        instantiated from here: `write!(FactorRing!(1000000007, false), char)`
Main.d(16):        instantiated from here: `writeln!(FactorRing!(1000000007, false))`

ソースコード

diff # 

import std.algorithm, std.container, std.conv, std.math, std.range, std.typecons, std.stdio, std.string;

auto rdsp(){return readln.splitter;}
void pick(R,T)(ref R r,ref T t){t=r.front.to!T;r.popFront;}
void readV(T...)(ref T t){auto r=rdsp;foreach(ref v;t)pick(r,v);}

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

void main()
{
  long n; readV(n);

  auto m = Mat([[1,1,0,0],[0,1,1,2],[0,1,0,0],[0,1,0,1]]);
  writeln(m.repeatedSquare(n, Mat.unit(4))[0][1]);
}

pure T repeatedSquare(alias pred = "a * b", T, 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) r = predFun(r, a);
    a = predFun(a, a);
    n >>= 1;
  }

  return r;
}

struct Matrix(T)
{
  size_t r, c;
  T[][] a;
  alias a this;

  static ref auto unit(size_t n)
  {
    auto r = Matrix!T(n, n);
    foreach (i; 0..n) r[i][i] = 1;
    return r;
  }

  this(size_t r, size_t c)
  {
    this.r = r; this.c = c;
    a = new T[][](r, c);
    static if (T.init != 0) foreach (i; 0..r) a[i][] = 0;
  }

  this(U)(U[][] b)
  {
    r = b.length;
    c = b[0].length;
    a = new T[][](r, c);
    foreach (i; 0..r) foreach (j; 0..c) a[i][j] = b[i][j];
  }

  ref auto dup() { auto x = Matrix!T(r, c); foreach (i; 0..r) x[i][] = a[i][]; return x; }

  ref auto opBinary(string op)(Matrix!T b) if (op == "+" || op == "-") in { assert(r == b.r && c == b.c); } body
  {
    auto x = Matrix!T(r, c);
    foreach (i; 0..r) foreach (j; 0..c) x[i][j] = mixin("a[i][j]"~op~"b[i][j]");
    return x;
  }

  ref auto opBinary(string op: "*")(Matrix!T b) in { assert(c == b.r); } body
  {
    auto x = Matrix!T(r, b.c);
    foreach (i; 0..r) foreach (j; 0..b.c) foreach (k; 0..c) x[i][j] += a[i][k]*b[k][j];
    return x;
  }

  ref auto opBinary(string op: "*")(T[] b) in { assert(c == b.length); } body
  {
    auto x = new T[](r);
    static if (T.init != 0) x[] = 0;
    foreach (i; 0..r) foreach (j; 0..c) x[i] += a[i][j]*b[j];
    return x;
  }
}

struct FactorRing(int m, bool pos = false)
{
  version(BigEndian) union { long vl; struct { int vi2; int vi; } } else union { long vl; int vi; }
  alias FR = FactorRing!(m, pos);
  @property static init() { return FR(0); }
  @property int value() { return vi; }
  @property void value(int v) { vi = mod(v); }
  alias value this;

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

  ref auto 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 ref auto opUnary(string op: "-")() { return FR(mod(-vi)); }

  static if (m < int.max / 2) {
    pure ref auto opBinary(string op)(int r) if (op == "+" || op == "-") { return FR(mod(mixin("vi"~op~"r"))); }
    ref auto opOpAssign(string op)(int r) if (op == "+" || op == "-") { vi = mod(mixin("vi"~op~"r")); return this; }
  } else {
    pure ref auto opBinary(string op)(int r) if (op == "+" || op == "-") { return FR(mod(mixin("vl"~op~"r"))); }
    ref auto opOpAssign(string op)(int r) if (op == "+" || op == "-") { vi = mod(mixin("vl"~op~"r")); return this; }
  }
  pure ref auto opBinary(string op: "*")(int r) { return FR(mod(vl*r)); }
  ref auto opOpAssign(string op: "*")(int r) { vi = mod(vl*r); return this; }

  pure ref auto opBinary(string op)(ref FR r) if (op == "+" || op == "-" || op == "*") { return opBinary!op(r.vi); }
  ref auto opOpAssign(string op)(ref FR r) if (op == "+" || op == "-" || op == "*") { return opOpAssign!op(r.vi); }
}
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