結果

問題 No.644 G L C C D M
ユーザー te-shte-sh
提出日時 2018-02-06 13:15:17
言語 D
(dmd 2.106.1)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,526 bytes
コンパイル時間 414 ms
コンパイル使用メモリ 139,820 KB
最終ジャッジ日時 2024-04-27 02:31:12
合計ジャッジ時間 776 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
このコードへのチャレンジ
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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
/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(30):        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;
import std.bitmanip;  // BitArray

void readV(T...)(ref T t){auto r=readln.splitter;foreach(ref v;t){v=r.front.to!(typeof(v));r.popFront;}}
T[] readArray(T)(size_t n){auto a=new T[](n),r=readln.splitter;foreach(ref v;a){v=r.front.to!T;r.popFront;}return a;}
T[] readArrayM(T)(size_t n){auto a=new T[](n);foreach(ref v;a)v=readln.chomp.to!T;return a;}

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

void main()
{
  int n, m; readV(n, m);
  auto p = primes(n);

  auto s = mint(0), w = n/m;
  foreach (k; 1..w+1) {
    s += w;

    auto f = factors(k, p);
    foreach (i; 1..(1<<f.length)) {
      auto fs = f.indexed(i.bitsSet).fold!"a*b";
      s += w/fs * (-1)^^i.popcnt;
    }

    if (k == 1) s -= 1;
  }

  foreach (i; 1..n-1) s *= i;
  writeln(s);
}

auto factors(int k, int[] p)
{
  int[] r;
  auto i = 0;
  while (k > 1) {
    if (k % p[i] == 0) {
      if (r.empty || r[$-1] != p[i]) r ~= p[i];
      k /= p[i];
    } else {
      ++i;
    }
  }
  return r;
}

pragma(inline) {
  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[] primes(T)(T n)
{
  import std.algorithm, std.bitmanip, std.conv, std.range;

  auto sieve = BitArray();
  sieve.length((n+1)/2);
  sieve = ~sieve;

  foreach (p; 1..((nsqrt(n)-1)/2+1))
    if (sieve[p])
      for (auto q = p*3+1; q < (n+1)/2; q += p*2+1)
        sieve[q] = false;

  auto r = sieve.bitsSet.map!(to!T).map!("a*2+1").array;
  r[0] = 2;

  return r;
}

pure T nsqrt(T)(T n)
{
  import std.algorithm, std.conv, std.range, core.bitop;
  if (n <= 1) return n;
  T m = 1 << (n.bsr/2+1);
  return iota(1, m).map!"a*a".assumeSorted!"a <= b".lowerBound(n).length.to!T;
}

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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