#999154 (D) No.2834 Work to Play

提出ソース

結果

問題	No.2834 Work to Play
ユーザー	👑 hos.lyric
提出日時	2024-08-02 21:41:33
言語	D (dmd 2.106.1)
結果	AC
実行時間	19 ms / 2,000 ms
コード長	4,810 bytes
コンパイル時間	1,679 ms
コンパイル使用メモリ	152,836 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-08-02 21:41:38
合計ジャッジ時間	4,484 ms
ジャッジサーバーID （参考情報）	judge5 / judge4

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 5,248 KB
testcase_01	AC	1 ms 5,376 KB
testcase_02	AC	1 ms 5,376 KB
testcase_03	AC	1 ms 5,376 KB
testcase_04	AC	1 ms 5,376 KB
testcase_05	AC	1 ms 5,376 KB
testcase_06	AC	1 ms 5,376 KB
testcase_07	AC	1 ms 5,376 KB
testcase_08	AC	1 ms 5,376 KB
testcase_09	AC	1 ms 5,376 KB
testcase_10	AC	1 ms 5,376 KB
testcase_11	AC	1 ms 5,376 KB
testcase_12	AC	1 ms 5,376 KB
testcase_13	AC	1 ms 5,376 KB
testcase_14	AC	1 ms 5,376 KB
testcase_15	AC	1 ms 5,376 KB
testcase_16	AC	1 ms 5,376 KB
testcase_17	AC	1 ms 5,376 KB
testcase_18	AC	1 ms 5,376 KB
testcase_19	AC	1 ms 5,376 KB
testcase_20	AC	1 ms 5,376 KB
testcase_21	AC	1 ms 5,376 KB
testcase_22	AC	1 ms 5,376 KB
testcase_23	AC	1 ms 5,376 KB
testcase_24	AC	1 ms 5,376 KB
testcase_25	AC	1 ms 5,376 KB
testcase_26	AC	1 ms 5,376 KB
testcase_27	AC	1 ms 5,376 KB
testcase_28	AC	2 ms 5,376 KB
testcase_29	AC	1 ms 5,376 KB
testcase_30	AC	1 ms 5,376 KB
testcase_31	AC	2 ms 5,376 KB
testcase_32	AC	1 ms 5,376 KB
testcase_33	AC	1 ms 5,376 KB
testcase_34	AC	1 ms 5,376 KB
testcase_35	AC	1 ms 5,376 KB
testcase_36	AC	1 ms 5,376 KB
testcase_37	AC	1 ms 5,376 KB
testcase_38	AC	1 ms 5,376 KB
testcase_39	AC	1 ms 5,376 KB
testcase_40	AC	1 ms 5,376 KB
testcase_41	AC	1 ms 5,376 KB
testcase_42	AC	1 ms 5,376 KB
testcase_43	AC	1 ms 5,376 KB
testcase_44	AC	2 ms 5,376 KB
testcase_45	AC	17 ms 5,376 KB
testcase_46	AC	18 ms 5,376 KB
testcase_47	AC	19 ms 5,376 KB
testcase_48	AC	16 ms 5,376 KB
testcase_49	AC	19 ms 5,376 KB
testcase_50	AC	18 ms 5,376 KB
testcase_51	AC	18 ms 5,376 KB
testcase_52	AC	19 ms 5,376 KB
testcase_53	AC	14 ms 5,376 KB
testcase_54	AC	17 ms 5,376 KB
testcase_55	AC	1 ms 5,376 KB
testcase_56	AC	1 ms 5,376 KB
testcase_57	AC	1 ms 5,376 KB
testcase_58	AC	4 ms 5,376 KB
testcase_59	AC	3 ms 5,376 KB
testcase_60	AC	9 ms 5,376 KB
testcase_61	AC	11 ms 5,376 KB
testcase_62	AC	12 ms 5,376 KB
testcase_63	AC	19 ms 5,376 KB
testcase_64	AC	7 ms 5,376 KB
testcase_65	AC	2 ms 5,376 KB
testcase_66	AC	2 ms 5,376 KB
testcase_67	AC	13 ms 5,376 KB
testcase_68	AC	9 ms 5,376 KB
testcase_69	AC	17 ms 5,376 KB
testcase_70	AC	5 ms 5,376 KB
testcase_71	AC	7 ms 5,376 KB
testcase_72	AC	2 ms 5,376 KB
testcase_73	AC	11 ms 5,376 KB
testcase_74	AC	4 ms 5,376 KB
testcase_75	AC	16 ms 5,376 KB
testcase_76	AC	5 ms 5,376 KB
testcase_77	AC	2 ms 5,376 KB
testcase_78	AC	14 ms 5,376 KB
testcase_79	AC	12 ms 5,376 KB
testcase_80	AC	4 ms 5,376 KB
testcase_81	AC	15 ms 5,376 KB
testcase_82	AC	2 ms 5,376 KB
testcase_83	AC	12 ms 5,376 KB
testcase_84	AC	18 ms 5,376 KB
testcase_85	AC	6 ms 5,376 KB
testcase_86	AC	17 ms 5,376 KB
testcase_87	AC	12 ms 5,376 KB
testcase_88	AC	1 ms 5,376 KB

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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; }

string COLOR(string s = "") { return "\x1b[" ~ s ~ "m"; }

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;
      const A = readLong;
      const K = readLong;
      
      const Q = N / (2*K);
      const R = N % (2*K);
      
      Mint ans;
      {
        // R + x + (2K) i  (0 <= i < Q)
        Mint sum0, sum1, sum2;
        long lot;
        foreach_reverse (x; 1 .. 2*K + 1) {
          long b = A * (R + x);
          sum0 += Mint(b / K) * Mint(R + x);
          sum1 += Mint(b / K) * Mint(2*K);
          sum1 += Mint(A) * 2 * Mint(R + x);
          sum2 += Mint(A) * 2 * Mint(2*K);
          b %= K;
          {
            const t = min(b, lot);
            b -= t;
            lot -= t;
          }
          if (b > 0) {
            const q = (b + K - 1) / K;
            sum0 += Mint(q) * Mint(R + x);
            sum1 += Mint(q) * Mint(2*K);
            lot = K * q - b;
          }
        }
        ans += Mint(Q) * sum0;
        ans += (Mint(Q) * Mint(Q - 1) / 2) * sum1;
        ans += (Mint(Q) * Mint(Q - 1) * Mint(2 * Q - 1) / 6) * sum2;
        assert(lot == 0);
      }
      {
        Mint sum;
        long lot;
        foreach_reverse (x; 1 .. R + 1) {
          long b = A * x;
          debug writeln(__LINE__, ": ", x, " ", b / K);
          sum += Mint(b / K) * Mint(x);
          b %= K;
          {
            const t = min(b, lot);
            b -= t;
            lot -= t;
          }
          if (b > 0) {
            const q = (b + K - 1) / K;
            debug writeln(__LINE__, ": ", x, " ", q);
            sum += Mint(q) * Mint(x);
            lot = K * q - b;
          }
        }
        ans += sum;
      }
      
      ans *= 2;
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}

yukicoder

結果

テストケース

ソースコード