結果

問題 No.2120 場合の数の下８桁
ユーザー 👑 hos.lyrichos.lyric
提出日時 2022-11-04 21:56:27
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 167 ms / 2,000 ms
コード長 3,810 bytes
コンパイル時間 1,704 ms
コンパイル使用メモリ 158,344 KB
実行使用メモリ 161,748 KB
最終ジャッジ日時 2024-06-22 16:38:05
合計ジャッジ時間 3,689 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
このコードへのチャレンジ
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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
6,944 KB
testcase_05 AC 1 ms
6,944 KB
testcase_06 AC 167 ms
161,748 KB
testcase_07 AC 1 ms
6,940 KB
testcase_08 AC 1 ms
6,944 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 78 ms
84,100 KB
testcase_11 AC 158 ms
161,468 KB
testcase_12 AC 1 ms
6,944 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 4 ms
6,944 KB
testcase_15 AC 76 ms
84,056 KB
testcase_16 AC 150 ms
153,752 KB
testcase_17 AC 164 ms
157,444 KB
testcase_18 AC 1 ms
6,944 KB
testcase_19 AC 162 ms
161,004 KB
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ソースコード

diff # 

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 = cast(uint)(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; }
}


int M, N;

int solve(int P)() {
  if (M < N) {
    return 0;
  }
  alias Mint = ModInt!(P^^8);
  auto fac = new Mint[M + 1];
  auto es = new int[M + 1];
  fac[0] = 1;
  foreach (i; 1 .. M + 1) {
    int j = i;
    int e;
    for (; j % P == 0; j /= P) ++e;
    fac[i] = fac[i - 1] * j;
    es[i] = es[i - 1] + e;
  }
  Mint ret = fac[M] / (fac[N] * fac[M - N]);
  ret *= Mint(P)^^(es[M] - es[N] - es[M - N]);
  return ret.x;
}

void main() {
  try {
    for (; ; ) {
      M = readInt;
      N = readInt;
      
      const res2 = solve!2;
      const res5 = solve!5;
      for (int ans = res5; ; ans += 5^^8) {
        if (ans % 2^^8 == res2) {
          writefln("%08d", ans);
          break;
        }
      }
    }
  } catch (EOFException e) {
  }
}
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