#684095 (D) No.1632 Sorting Integers (GCD of M)

提出ソース

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 2.106.1)
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
（要ログイン）

テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 6,812 KB
testcase_01	AC	1 ms 6,940 KB
testcase_02	AC	1 ms 6,944 KB
testcase_03	AC	1 ms 6,944 KB
testcase_04	AC	1 ms 6,940 KB
testcase_05	AC	1 ms 6,940 KB
testcase_06	AC	1 ms 6,944 KB
testcase_07	AC	1 ms 6,944 KB
testcase_08	AC	1 ms 6,948 KB
testcase_09	AC	1 ms 6,944 KB
testcase_10	AC	1 ms 6,940 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	1 ms 6,940 KB
testcase_13	AC	1 ms 6,940 KB
testcase_14	AC	1 ms 6,944 KB
testcase_15	AC	1 ms 6,940 KB
testcase_16	AC	1 ms 6,940 KB
testcase_17	AC	1 ms 6,940 KB
testcase_18	AC	1 ms 6,944 KB
testcase_19	AC	2 ms 6,944 KB
testcase_20	AC	1 ms 6,940 KB
testcase_21	AC	1 ms 6,944 KB
testcase_22	AC	1 ms 6,940 KB
testcase_23	AC	1 ms 6,940 KB
testcase_24	AC	2 ms 6,940 KB
testcase_25	AC	1 ms 6,940 KB
testcase_26	AC	1 ms 6,944 KB
testcase_27	AC	1 ms 6,948 KB
testcase_28	AC	1 ms 6,940 KB
testcase_29	AC	1 ms 6,940 KB
testcase_30	AC	2 ms 6,944 KB
testcase_31	AC	2 ms 6,944 KB
testcase_32	AC	1 ms 6,940 KB
testcase_33	AC	1 ms 6,940 KB
testcase_34	AC	1 ms 6,940 KB
testcase_35	AC	1 ms 6,944 KB
testcase_36	AC	1 ms 6,944 KB
testcase_37	AC	1 ms 6,940 KB
testcase_38	AC	1 ms 6,940 KB
testcase_39	AC	2 ms 6,944 KB
testcase_40	AC	1 ms 6,944 KB
testcase_41	AC	1 ms 6,940 KB
testcase_42	AC	1 ms 6,944 KB
testcase_43	AC	1 ms 6,944 KB
testcase_44	AC	2 ms 6,944 KB
testcase_45	AC	1 ms 6,940 KB
testcase_46	AC	1 ms 6,940 KB
testcase_47	AC	1 ms 6,940 KB
testcase_48	AC	1 ms 6,940 KB
testcase_49	AC	1 ms 6,940 KB
testcase_50	AC	1 ms 6,940 KB
testcase_51	AC	1 ms 6,940 KB
testcase_52	AC	1 ms 6,944 KB
testcase_53	AC	1 ms 6,944 KB
testcase_54	AC	1 ms 6,940 KB
testcase_55	AC	1 ms 6,944 KB
testcase_56	AC	1 ms 6,944 KB
testcase_57	AC	1 ms 6,940 KB
testcase_58	AC	1 ms 6,940 KB
testcase_59	AC	1 ms 6,940 KB
testcase_60	AC	1 ms 6,940 KB
testcase_61	AC	1 ms 6,944 KB
testcase_62	AC	1 ms 6,940 KB

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

raw source code

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) {
  }
}

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード