結果

問題 No.1697 Deque House
ユーザー 👑 hos.lyrichos.lyric
提出日時 2021-10-01 21:41:08
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 228 ms / 3,500 ms
コード長 4,882 bytes
コンパイル時間 2,689 ms
コンパイル使用メモリ 152,552 KB
実行使用メモリ 36,572 KB
最終ジャッジ日時 2023-09-04 14:19:19
合計ジャッジ時間 5,314 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge14
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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
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 2 ms
4,384 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 1 ms
4,384 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 227 ms
36,500 KB
testcase_10 AC 38 ms
10,904 KB
testcase_11 AC 52 ms
12,876 KB
testcase_12 AC 32 ms
9,732 KB
testcase_13 AC 33 ms
6,940 KB
testcase_14 AC 50 ms
12,408 KB
testcase_15 AC 110 ms
18,612 KB
testcase_16 AC 87 ms
14,612 KB
testcase_17 AC 66 ms
12,744 KB
testcase_18 AC 42 ms
10,796 KB
testcase_19 AC 70 ms
13,128 KB
testcase_20 AC 228 ms
36,440 KB
testcase_21 AC 226 ms
36,572 KB
testcase_22 AC 227 ms
36,540 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 = 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 = readInt();
      const K = readInt();
      auto A = new Mint[N];
      foreach (i; 0 .. N) {
        A[i] = readInt();
      }
      
      auto bss = new Mint[][](K + 1, N + 1);
      foreach (i; 0 .. N) {
        bss[0][i + 1] = 1;
        foreach (k; 0 .. K) {
          bss[k + 1][i + 1] = bss[k][i + 1] * A[i];
        }
      }
      foreach (k; 0 .. K + 1) {
        foreach (i; 0 .. N) {
          bss[k][i + 1] += bss[k][i];
        }
      }
      
      auto one = new Mint[N + 1];
      one[] = Mint(1);
      auto two = new Mint[N + 1];
      auto invTwo = new Mint[N + 1];
      two[0] = 1;
      two[1] = 2;
      invTwo[0] = 1;
      invTwo[1] = Mint(2).inv;
      foreach (i; 2 .. N + 1) {
        two[i] = two[i - 1] * 2;
        invTwo[i] = invTwo[i - 1] * invTwo[1];
      }
      
      auto crt = new Mint[2][N + 1];
      crt[0][0] = 1;
      void waf(int k, int s, Mint[] wsL, Mint[] wsR) {
        auto nxt = new Mint[2][N + 1];
        Mint[2] now;
        foreach (i; 0 .. N + 1) {
          {
            const j = i - s;
            if (j >= 0) {
              now[0] += crt[j][0] * wsL[j];
              now[1] += (crt[j][0] * -bss[k][j] + crt[j][1]) * wsL[j];
            }
          }
          nxt[i][0] = now[0] * wsR[i];
          nxt[i][1] = (now[0] * bss[k][i] + now[1]) * wsR[i];
        }
        crt = nxt;
        debug {
          writeln("waf ", k, ": ", nxt);
        }
      }
      
      foreach (k; 0 .. K) {
        waf(k, 0, invTwo, one);
      }
      waf(K, 2, invTwo, two);
      foreach_reverse (k; 0 .. K) {
        waf(k, 0, one, two);
      }
      
      Mint ans = crt[N][1];
      ans *= Mint(2)^^(-(N + 2 * K));
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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