結果

問題 No.2529 Treasure Hunter
ユーザー 👑 hos.lyrichos.lyric
提出日時 2023-11-03 21:48:08
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 40 ms / 2,000 ms
コード長 4,705 bytes
コンパイル時間 2,730 ms
コンパイル使用メモリ 153,728 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-09-25 19:57:13
合計ジャッジ時間 3,419 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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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 40 ms
5,376 KB
testcase_02 AC 4 ms
5,376 KB
testcase_03 AC 4 ms
5,376 KB
testcase_04 AC 4 ms
5,376 KB
testcase_05 AC 4 ms
5,376 KB
testcase_06 AC 4 ms
5,376 KB
testcase_07 AC 4 ms
5,376 KB
testcase_08 AC 4 ms
5,376 KB
testcase_09 AC 4 ms
5,376 KB
testcase_10 AC 3 ms
5,376 KB
testcase_11 AC 3 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 2 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
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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; }

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;

// square matrix
Mint[][] mul(Mint[][] a, Mint[][] b) {
  const size = cast(int)(a.length);
  auto c = new Mint[][](size, size);
  foreach (i; 0 .. size) foreach (k; 0 .. size) foreach (j; 0 .. size) {
    c[i][j] += a[i][k] * b[k][j];
  }
  return c;
}
Mint[] mul(Mint[][] a, Mint[] x) {
  const size = cast(int)(a.length);
  auto y = new Mint[size];
  foreach (i; 0 .. size) foreach (j; 0 .. size) {
    y[i] += a[i][j] * x[j];
  }
  return y;
}
Mint[][] power(Mint[][] a, long e) {
  const size = cast(int)(a.length);
  auto b = new Mint[][](size, size), c = new Mint[][](size, size);
  foreach (i; 0 .. size) foreach (j; 0 .. size) b[i][j] = a[i][j];
  foreach (i; 0 .. size) foreach (j; 0 .. size) c[i][j] = (i == j) ? 1 : 0;
  for (; e; e >>= 1) {
    if (e & 1) c = mul(c, b);
    b = mul(b, b);
  }
  return c;
}


void main() {
  try {
    for (; ; ) {
      const numCases = readInt;
      foreach (caseId; 0 .. numCases) {
        const N = readInt;
        const M = readInt;
        
        auto a = new Mint[][](3, 3);
        a[0][0] = 1;
        a[0][1] = Mint(N);
        a[0][2] = (N == 2) ? Mint(0) : (Mint(N) * Mint(N - 1) / 2 - Mint(N));
        a[1][0] = 1;
        a[1][1] = Mint(N - 1);
        a[1][2] = Mint(N - 1) * Mint(N - 2) / 2 - Mint(N - 2);
        a[2][0] = 1;
        a[2][1] = Mint(N - 2);
        a[2][2] = Mint(N - 2) * Mint(N - 3) / 2 - Mint(N - 4);
        debug {
          writeln("N = ", N, ": a = ", a);
        }
        const aa = a.power(M);
        const ans = aa[0].sum;
        writeln(ans);
      }
    }
  } catch (EOFException e) {
  }
}
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