結果

問題 No.1632 Sorting Integers (GCD of M)
ユーザー 👑 hos.lyric
提出日時 2021-07-30 20:54:59
言語 D
(dmd 2.109.1)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 4,336 bytes
コンパイル時間 1,570 ms
コンパイル使用メモリ 154,488 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-06-22 11:58:36
合計ジャッジ時間 3,607 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 59
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 #
プレゼンテーションモードにする

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 = 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 = 10^^9 + 7;
alias Mint = ModInt!MO;
enum B = 10;
long[2][2] mul(in long[2][2] a, in long[2][2] b, long m) {
  long[2][2] c;
  foreach (i; 0 .. 2) foreach (k; 0 .. 2) foreach (j; 0 .. 2) {
    (c[i][j] += a[i][k] * b[k][j]) %= m;
  }
  return c;
}
long[2][2] power(in long[2][2] a, long e, long m) {
  long[2][2] x = a, y;
  y[0][0] = y[1][1] = 1;
  for (; e; e >>= 1) {
    if (e & 1) y = mul(y, x, m);
    x = mul(x, x, m);
  }
  return y;
}
void main() {
  try {
    for (; ; ) {
      const N = readLong();
      auto C = new long[B];
      foreach (x; 1 .. B) {
        C[x] = readLong();
      }
      
      int g;
      foreach (x; 1 .. B) foreach (y; x + 1 .. B) {
        if (C[x] > 0 && C[y] > 0) {
          g = gcd(g, y - x);
        }
      }
      g *= 9;
      
      Mint ans;
      if (g == 0) {
        foreach (x; 1 .. B) {
          if (C[x] > 0) {
            ans = (Mint(10)^^N - 1) / 9 * x;
          }
        }
      } else {
        long r;
        foreach (x; 1 .. B) {
          long[2][2] a;
          a[0][0] = 10;
          a[0][1] = 1;
          a[1][1] = 1;
          const b = power(a, C[x], g);
          r = (b[0][0] * r + b[0][1] * x) % g;
        }
        ans = gcd(r, g);
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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