結果

問題 No.1075 木の上の山
ユーザー 👑 hos.lyrichos.lyric
提出日時 2020-06-05 22:22:49
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 63 ms / 2,000 ms
コード長 5,294 bytes
コンパイル時間 1,316 ms
コンパイル使用メモリ 153,164 KB
実行使用メモリ 38,016 KB
最終ジャッジ日時 2023-09-04 08:02:12
合計ジャッジ時間 3,346 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge12
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 2 ms
4,380 KB
testcase_01 AC 2 ms
4,384 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 1 ms
4,376 KB
testcase_04 AC 1 ms
4,376 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 3 ms
4,380 KB
testcase_08 AC 3 ms
4,376 KB
testcase_09 AC 4 ms
4,380 KB
testcase_10 AC 3 ms
4,376 KB
testcase_11 AC 3 ms
4,380 KB
testcase_12 AC 4 ms
4,376 KB
testcase_13 AC 4 ms
4,380 KB
testcase_14 AC 4 ms
4,380 KB
testcase_15 AC 4 ms
4,472 KB
testcase_16 AC 4 ms
4,376 KB
testcase_17 AC 63 ms
37,192 KB
testcase_18 AC 50 ms
38,016 KB
testcase_19 AC 59 ms
24,584 KB
testcase_20 AC 51 ms
38,008 KB
testcase_21 AC 55 ms
24,396 KB
testcase_22 AC 55 ms
24,520 KB
testcase_23 AC 57 ms
24,320 KB
testcase_24 AC 54 ms
24,512 KB
testcase_25 AC 56 ms
24,352 KB
testcase_26 AC 50 ms
36,188 KB
testcase_27 AC 54 ms
34,568 KB
testcase_28 AC 59 ms
24,664 KB
testcase_29 AC 53 ms
34,656 KB
testcase_30 AC 50 ms
35,416 KB
testcase_31 AC 53 ms
29,720 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(int M_) {
  import std.conv : to;
  alias M = M_;
  int x;
  this(ModInt a) { x = a.x; }
  this(long a) { x = cast(int)(a % M); if (x < 0) x += M; }
  ref ModInt opAssign(long a) { return (this = ModInt(a)); }
  ref ModInt opOpAssign(string op)(ModInt a) {
    static if (op == "+") { x += a.x; if (x >= M) x -= M; }
    else static if (op == "-") { x -= a.x; if (x < 0) x += M; }
    else static if (op == "*") { x = cast(int)((cast(long)(x) * a.x) % M); }
    else static if (op == "/") { this *= a.inv(); }
    else static assert(false);
    return this;
  }
  ref ModInt opOpAssign(string op)(long a) {
    static if (op == "^^") {
      if (a < 0) return (this = inv()^^(-a));
      ModInt t2 = this, te = ModInt(1);
      for (long e = a; e > 0; e >>= 1) {
        if (e & 1) te *= t2;
        t2 *= t2;
      }
      x = cast(int)(te.x);
      return this;
    } else return mixin("this " ~ op ~ "= ModInt(a)");
  }
  ModInt inv() const {
    int a = x, b = M, y = 1, z = 0, t;
    for (; ; ) {
      t = a / b; a -= t * b;
      if (a == 0) {
        assert(b == 1 || b == -1);
        return ModInt(b * z);
      }
      y -= t * z;
      t = b / a; b -= t * a;
      if (b == 0) {
        assert(a == 1 || a == -1);
        return ModInt(a * y);
      }
      z -= t * y;
    }
  }
  ModInt opUnary(string op: "-")() const { return ModInt(-x); }
  ModInt opBinary(string op, T)(T a) const {
    return mixin("ModInt(this) " ~ op ~ "= a");
  }
  ModInt opBinaryRight(string op)(long a) const {
    return mixin("ModInt(a) " ~ op ~ "= this");
  }
  bool opCast(T: bool)() const { return (x != 0); }
  string toString() const { return x.to!string; }
}

enum MO = 10^^9 + 7;
alias Mint = ModInt!MO;


int N, K;
int[] A, B;

Mint[] mul(Mint[] fs, Mint[] gs) {
  auto hs = new Mint[K];
  foreach (k; 0 .. K) {
    hs[k] = fs[k] * gs[k];
  }
  return hs;
}
Mint[] up(Mint[] fs) {
  auto gs = fs.dup;
  foreach (k; 1 .. K) {
    gs[k] += gs[k - 1];
  }
  return gs;
}
Mint[] shift(Mint[] fs) {
  return [Mint(0)] ~ fs[0 .. K - 1];
}

int[][] G;
int zeit;
int[] par, ord;
Mint[][] 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);
    }
  }
  Mint[] fs = new Mint[K];
  fs[] = Mint(1);
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      fs = mul(fs, dp[v]);
    }
  }
  dp[u] = up(fs);
}

void DFS(int u, int p) {
  int[] vs;
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      vs ~= v;
    }
  }
  const len = cast(int)(vs.length);
  auto ls = new Mint[][len + 1];
  auto rs = new Mint[][len + 1];
  ls[0] = new Mint[K];
  ls[0][] = Mint(1);
  rs[len] = new Mint[K];
  rs[len][] = Mint(1);
  if (p != -1) {
    rs[len] = DP[u];
  }
  foreach (j; 0 .. len) {
    ls[j + 1] = mul(ls[j], dp[vs[j]]);
  }
  foreach_reverse (j; 0 .. len) {
    rs[j] = mul(dp[vs[j]], rs[j + 1]);
  }
  foreach (j; 0 .. len) {
    DP[vs[j]] = up(mul(ls[j], rs[j + 1]));
  }
  foreach (j; 0 .. len) {
    DFS(vs[j], u);
  }
}

void main() {
  try {
    for (; ; ) {
      N = readInt();
      K = readInt();
      A = new int[N - 1];
      B = new int[N - 1];
      foreach (i; 0 .. N - 1) {
        A[i] = readInt() - 1;
        B[i] = readInt() - 1;
      }
      
      G = new int[][N];
      foreach (i; 0 .. N - 1) {
        G[A[i]] ~= i;
        G[B[i]] ~= i;
      }
      par = new int[N];
      dp = new Mint[][N];
      DP = new Mint[][N];
      
      const rt = N - 1;
      dfs(rt, -1);
      DFS(rt, -1);
      debug {
        writeln("rt = ", rt);
        writeln("dp = ", dp);
        writeln("DP = ", DP);
      }
      Mint ans;
      foreach (u; 0 .. N) {
        Mint[] fs = new Mint[K];
        fs[] = Mint(1);
        if (u != rt) {
          fs = shift(DP[u]);
        }
        foreach (i; G[u]) {
          const v = A[i] ^ B[i] ^ u;
          if (v != par[u]) {
            fs = mul(fs, dp[v]);
          }
        }
        debug {
          writeln(u, ": ", fs);
        }
        ans += fs.sum;
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
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