結果

問題 No.2302 Carry X Times
ユーザー 👑 hos.lyrichos.lyric
提出日時 2023-05-12 21:30:08
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 15 ms / 2,000 ms
コード長 4,391 bytes
コンパイル時間 1,351 ms
コンパイル使用メモリ 151,964 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-06-22 17:54:59
合計ジャッジ時間 2,335 ms
ジャッジサーバーID
(参考情報)
judge4 / judge3
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 7 ms
6,812 KB
testcase_01 AC 7 ms
6,940 KB
testcase_02 AC 7 ms
6,940 KB
testcase_03 AC 1 ms
6,940 KB
testcase_04 AC 1 ms
6,940 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 1 ms
6,940 KB
testcase_07 AC 1 ms
6,940 KB
testcase_08 AC 1 ms
6,940 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 14 ms
6,944 KB
testcase_11 AC 14 ms
6,944 KB
testcase_12 AC 14 ms
6,940 KB
testcase_13 AC 14 ms
6,944 KB
testcase_14 AC 15 ms
6,944 KB
testcase_15 AC 14 ms
6,944 KB
testcase_16 AC 14 ms
6,944 KB
testcase_17 AC 14 ms
6,940 KB
testcase_18 AC 14 ms
6,944 KB
testcase_19 AC 14 ms
6,944 KB
testcase_20 AC 14 ms
6,940 KB
testcase_21 AC 13 ms
6,944 KB
testcase_22 AC 13 ms
6,944 KB
testcase_23 AC 14 ms
6,940 KB
testcase_24 AC 15 ms
6,944 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 numCases = readInt;
      foreach (caseId; 0 .. numCases) {
        const N = readLong;
        const X = readInt;
        
        const S = N.to!string;
        const L = cast(int)(S.length);
        
        // <=?, <=?, carry
        auto dp = new Mint[][][][][](L + 1, 2, 2, L + 1, 2);
        dp[0][1][1][0][0] = 1;
        foreach (i; 0 .. L) {
          const s = S[L - 1 - i] - '0';
          foreach (a; 0 .. 2) foreach (b; 0 .. 2) foreach (k; 0 .. i + 1) foreach (c; 0 .. 2) {
            const f = dp[i][a][b][k][c];
            if (f) {
              debug {
                if (N <= 10) {
                  writeln(i, " ", a, " ", b, " ", k, " ", c, ": ", f);
                }
              }
              foreach (x; 0 .. 10) foreach (y; 0 .. 10) {
                const aa = (x < s) ? 1 : (x == s) ? a : 0;
                const bb = (y < s) ? 1 : (y == s) ? b : 0;
                const cc = (c + x + y >= 10) ? 1 : 0;
                const kk = k + cc;
                dp[i + 1][aa][bb][kk][cc] += f;
              }
            }
          }
        }
        
        Mint ans;
        if (X <= L) {
          foreach (c; 0 .. 2) {
            ans += dp[L][1][1][X][c];
          }
        }
        writeln(ans);
      }
    }
  } catch (EOFException e) {
  }
}
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