結果

問題 No.2360 Path to Integer
ユーザー 👑 hos.lyrichos.lyric
提出日時 2023-06-23 22:30:07
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 195 ms / 2,500 ms
コード長 5,668 bytes
コンパイル時間 3,791 ms
コンパイル使用メモリ 154,528 KB
実行使用メモリ 39,144 KB
最終ジャッジ日時 2023-09-13 17:32:31
合計ジャッジ時間 6,307 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge12
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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 2 ms
4,376 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 1 ms
4,380 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 2 ms
4,380 KB
testcase_07 AC 3 ms
4,380 KB
testcase_08 AC 18 ms
4,664 KB
testcase_09 AC 195 ms
15,272 KB
testcase_10 AC 162 ms
14,980 KB
testcase_11 AC 163 ms
15,000 KB
testcase_12 AC 154 ms
14,212 KB
testcase_13 AC 188 ms
15,056 KB
testcase_14 AC 191 ms
34,512 KB
testcase_15 AC 186 ms
13,868 KB
testcase_16 AC 186 ms
39,144 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;


int N;
int[] A, B;

string[] S;
Mint[] T, X;

alias Result = Tuple!(Mint, "sum0", Mint, "sum1");
Result add(Result f, Result g) {
  return Result(f.sum0 + g.sum0, f.sum1 + g.sum1);
}
Result sub(Result f, Result g) {
  return Result(f.sum0 - g.sum0, f.sum1 - g.sum1);
}
Result attach(int u, Result f) {
  return Result(1 + f.sum0, f.sum1 * T[u] + (1 + f.sum0) * X[u]);
}

int[][] G;
int[] par;
Result[] dp, DP;

void dfs(int u, int p) {
  par[u] = p;
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      dfs(v, u);
    }
  }
  // init
  Result f;
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      // add dp[v]
      f = add(f, dp[v]);
    }
  }
  // calc dp[u]
  dp[u] = attach(u, f);
}

void DFS(int u, int p) {
  // init
  Result f;
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      // add dp[v]
      f = add(f, dp[v]);
    }
  }
  if (p != -1) {
    // add DP[u]
    f = add(f, DP[u]);
  }
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      // calc DP[v], removing dp[v]
      DP[v] = attach(u, sub(f, dp[v]));
    }
  }
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      DFS(v, u);
    }
  }
}


void main() {
  try {
    for (; ; ) {
      N = readInt;
      S = new string[N];
      foreach (u; 0 .. N) {
        S[u] = readToken;
      }
      A = new int[N - 1];
      B = new int[N - 1];
      foreach (i; 0 .. N - 1) {
        A[i] = readInt - 1;
        B[i] = readInt - 1;
      }
      
      T = new Mint[N];
      X = new Mint[N];
      foreach (u; 0 .. N) {
        T[u] = Mint(10)^^(cast(int)(S[u].length));
        X[u] = S[u].to!long;
      }
      
      G = new int[][N];
      foreach (i; 0 .. N - 1) {
        G[A[i]] ~= i;
        G[B[i]] ~= i;
      }
      
      par.length = N;
      dp.length = N;
      DP.length = N;
      const rt = 0;
      dfs(rt, -1);
      DFS(rt, -1);
      debug {
        writeln("rt = ", rt);
        writeln("dp = ", dp);
        writeln("DP = ", DP);
      }
      Mint ans;
      foreach (u; 0 .. N) {
        // init
        Result f;
        foreach (i; G[u]) {
          const v = A[i] ^ B[i] ^ u;
          if (v != par[u]) {
            // add dp[v]
            f = add(f, dp[v]);
          }
        }
        if (u != rt) {
          // add DP[u]
          f = add(f, DP[u]);
        }
        // calc ans, rooted at u
        const here = attach(u, f);
        debug {
          writeln(u, ": ", here);
        }
        ans += here.sum1;
      }
      
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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