結果

問題 No.2082 AND OR XOR
ユーザー 👑 hos.lyrichos.lyric
提出日時 2022-09-25 21:42:21
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 23 ms / 2,000 ms
コード長 4,315 bytes
コンパイル時間 1,782 ms
コンパイル使用メモリ 152,084 KB
実行使用メモリ 23,444 KB
最終ジャッジ日時 2023-09-04 18:27:12
合計ジャッジ時間 4,378 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge11
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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 2 ms
4,380 KB
testcase_02 AC 3 ms
4,380 KB
testcase_03 AC 15 ms
20,352 KB
testcase_04 AC 6 ms
8,356 KB
testcase_05 AC 12 ms
13,224 KB
testcase_06 AC 14 ms
18,084 KB
testcase_07 AC 10 ms
14,536 KB
testcase_08 AC 8 ms
11,192 KB
testcase_09 AC 5 ms
7,052 KB
testcase_10 AC 10 ms
13,984 KB
testcase_11 AC 10 ms
11,416 KB
testcase_12 AC 19 ms
23,160 KB
testcase_13 AC 12 ms
12,736 KB
testcase_14 AC 8 ms
10,948 KB
testcase_15 AC 11 ms
15,976 KB
testcase_16 AC 13 ms
19,548 KB
testcase_17 AC 11 ms
15,840 KB
testcase_18 AC 5 ms
6,040 KB
testcase_19 AC 14 ms
19,144 KB
testcase_20 AC 13 ms
12,440 KB
testcase_21 AC 12 ms
17,108 KB
testcase_22 AC 10 ms
13,996 KB
testcase_23 AC 16 ms
20,636 KB
testcase_24 AC 17 ms
20,080 KB
testcase_25 AC 16 ms
21,404 KB
testcase_26 AC 7 ms
8,868 KB
testcase_27 AC 10 ms
13,016 KB
testcase_28 AC 23 ms
22,948 KB
testcase_29 AC 22 ms
23,380 KB
testcase_30 AC 23 ms
23,444 KB
testcase_31 AC 22 ms
23,424 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; }
}

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



void main() {
  try {
    for (; ; ) {
      const N = readInt;
      const A = readInt;
      const B = readInt;
      const C = readInt;
      
      int[4][4] F;
      static foreach (x; 0 .. 4) static foreach (y; 0 .. 4) {
        F[x][y] = (A * (x & y) + B * (x | y) + C * (x ^ y)) & 3;
      }
      debug {
        writeln("F = ", F);
      }
      
      auto dp = new Mint[1 << (2 * 4)][4][](N + 1);
      foreach (x; 0 .. 4) {
        int u;
        foreach (z; 0 .. 4) {
          u |= F[z][x] << (2 * z);
        }
        dp[1][x][u] += 1;
      }
      foreach (i; 1 .. N - 1) {
        foreach (x; 0 .. 4) foreach (u; 0 .. 1 << (2 * 4)) if (dp[i][x][u]) {
          foreach (y; 0 .. 4) {
            int v;
            foreach (z; 0 .. 4) {
              v |= (u >> (2 * F[z][y]) & 3) << (2 * z);
            }
            dp[i + 1][F[x][y]][v] += dp[i][x][u];
          }
        }
      }
      
      Mint ans;
      foreach (x; 0 .. 4) foreach (u; 0 .. 1 << (2 * 4)) if (dp[N - 1][x][u]) {
        foreach (y; 0 .. 4) {
          if (F[x][y] == (u >> (2 * y) & 3)) {
            ans += dp[N - 1][x][u];
          }
        }
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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