結果

問題 No.573 a^2[i] = a[i]
ユーザー te-shte-sh
提出日時 2017-10-06 22:54:30
言語 D
(dmd 2.106.1)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,445 bytes
コンパイル時間 687 ms
コンパイル使用メモリ 142,404 KB
最終ジャッジ日時 2024-11-14 20:15:13
合計ジャッジ時間 1,327 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge2
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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(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;
import std.container; // SList, DList, BinaryHeap
import std.typecons;  // Tuple, Nullable, BigFlags
import std.math;      // math functions
import std.numeric;   // gcd, fft
import std.bigint;    // BigInt
import std.random;    // random
import std.bitmanip;  // BitArray
import core.bitop;    // bit operation
import std.regex;     // RegEx
import std.uni;       // unicode

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

void main()
{
  auto n = readln.chomp.to!int;

  auto fact = new mint[](n+1);
  fact[0] = 1;
  foreach (i; 1..n+1) fact[i] = fact[i-1] * i;
  auto invFact = new mint[](n+1);
  invFact[n] = fact[n].inv;
  foreach_reverse (i; 1..n+1) invFact[i-1] = invFact[i] * i;

  auto ans = mint(0);
  foreach (i; 0..n+1)
    ans += fact[n] * invFact[n-i] * invFact[i] * repeatedSquare(mint(n-i), i);

  writeln(ans);
}

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

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;
}

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

  @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 (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); }

  pure auto inv() const
  {
    int x = vi, a, b;
    exEuclid(x, m, a, b);
    return FactorRing!(m, pos)(mod(a));
  }
}

pure T exEuclid(T)(T a, T b, ref T x, ref T y)
{
  auto g = a;
  x = 1;
  y = 0;
  if (b != 0) {
    g = exEuclid(b, a % b, y, x);
    y -= a / b * x;
  }
  return g;
}
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