結果

問題 No.2318 Phys Bone Maker
ユーザー 👑 hos.lyrichos.lyric
提出日時 2023-05-27 03:25:43
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 612 ms / 3,000 ms
コード長 4,406 bytes
コンパイル時間 2,266 ms
コンパイル使用メモリ 154,028 KB
実行使用メモリ 4,384 KB
最終ジャッジ日時 2023-09-04 20:25:35
合計ジャッジ時間 9,121 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge12
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
4,376 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 612 ms
4,380 KB
testcase_03 AC 7 ms
4,376 KB
testcase_04 AC 8 ms
4,380 KB
testcase_05 AC 8 ms
4,376 KB
testcase_06 AC 8 ms
4,380 KB
testcase_07 AC 3 ms
4,380 KB
testcase_08 AC 8 ms
4,380 KB
testcase_09 AC 7 ms
4,376 KB
testcase_10 AC 12 ms
4,380 KB
testcase_11 AC 9 ms
4,380 KB
testcase_12 AC 13 ms
4,380 KB
testcase_13 AC 10 ms
4,380 KB
testcase_14 AC 9 ms
4,380 KB
testcase_15 AC 8 ms
4,376 KB
testcase_16 AC 11 ms
4,380 KB
testcase_17 AC 12 ms
4,380 KB
testcase_18 AC 12 ms
4,380 KB
testcase_19 AC 5 ms
4,380 KB
testcase_20 AC 9 ms
4,376 KB
testcase_21 AC 7 ms
4,376 KB
testcase_22 AC 7 ms
4,380 KB
testcase_23 AC 8 ms
4,376 KB
testcase_24 AC 10 ms
4,380 KB
testcase_25 AC 11 ms
4,380 KB
testcase_26 AC 10 ms
4,376 KB
testcase_27 AC 10 ms
4,384 KB
testcase_28 AC 6 ms
4,376 KB
testcase_29 AC 6 ms
4,380 KB
testcase_30 AC 7 ms
4,380 KB
testcase_31 AC 12 ms
4,376 KB
testcase_32 AC 15 ms
4,376 KB
testcase_33 AC 1 ms
4,380 KB
testcase_34 AC 9 ms
4,376 KB
testcase_35 AC 74 ms
4,380 KB
testcase_36 AC 299 ms
4,380 KB
testcase_37 AC 297 ms
4,380 KB
testcase_38 AC 300 ms
4,376 KB
testcase_39 AC 452 ms
4,376 KB
testcase_40 AC 449 ms
4,384 KB
testcase_41 AC 517 ms
4,380 KB
testcase_42 AC 515 ms
4,380 KB
testcase_43 AC 13 ms
4,380 KB
testcase_44 AC 69 ms
4,380 KB
testcase_45 AC 63 ms
4,376 KB
testcase_46 AC 520 ms
4,380 KB
testcase_47 AC 23 ms
4,380 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; }

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; }
}

enum MO = 998244353;
alias Mint = ModInt!MO;


void main() {
  try {
    for (; ; ) {
      const N = readLong;
      
      long[] ps;
      int[] es;
      {
        long n = N;
        for (long p = 2; p * p <= n; ++p) if (n % p == 0) {
          int e;
          do {
            ++e;
            n /= p;
          } while (n % p == 0);
          ps ~= p;
          es ~= e;
        }
        if (n > 1) {
          ps ~= n;
          es ~= 1;
        }
      }
      const psLen = cast(int)(ps.length);
      debug {
        writeln("ps = ", ps);
        writeln("es = ", es);
      }
      
      long[] ds;
      for (long d = 1; d * d <= N; ++d) if (N % d == 0) {
        ds ~= d;
        if (d != N/d) ds ~= N/d;
      }
      ds.sort;
      const dsLen = cast(int)(ds.length);
      
      auto dp = new Mint[dsLen];
      dp[0] = 1;
      foreach (u; 0 .. dsLen) {
        auto fs = new int[psLen];
        {
          long d = ds[u];
          foreach (i; 0 .. psLen) {
            for (; d % ps[i] == 0; d /= ps[i]) ++fs[i];
          }
        }
        foreach (v; u + 1 .. dsLen) if (ds[v] % ds[u] == 0) {
          const quot = ds[v] / ds[u];
          Mint t = dp[u];
          foreach (i; 0 .. psLen) if (quot % ps[i] != 0) {
            t *= (fs[i] + 1);
          }
          dp[v] += t;
        }
      }
      writeln(dp[dsLen - 1]);
    }
  } catch (EOFException e) {
  }
}
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