結果

問題 No.1124 Earthquake Safety
ユーザー 👑 hos.lyrichos.lyric
提出日時 2020-07-22 22:01:53
言語 D
(dmd 2.106.1)
結果
AC  
実行時間 1,143 ms / 3,000 ms
コード長 5,976 bytes
コンパイル時間 1,492 ms
コンパイル使用メモリ 155,776 KB
実行使用メモリ 222,152 KB
最終ジャッジ日時 2024-06-22 07:46:55
合計ジャッジ時間 44,520 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
（要ログイン）

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
6,812 KB
testcase_01 AC 1 ms
6,940 KB
testcase_02 AC 1 ms
6,944 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 1 ms
6,940 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 4 ms
6,944 KB
testcase_07 AC 27 ms
6,940 KB
testcase_08 AC 283 ms
35,232 KB
testcase_09 AC 1,006 ms
89,208 KB
testcase_10 AC 936 ms
222,152 KB
testcase_11 AC 1 ms
6,944 KB
testcase_12 AC 1 ms
6,944 KB
testcase_13 AC 1 ms
6,940 KB
testcase_14 AC 1,092 ms
90,856 KB
testcase_15 AC 1,019 ms
90,408 KB
testcase_16 AC 1,079 ms
89,468 KB
testcase_17 AC 1,067 ms
89,652 KB
testcase_18 AC 1,076 ms
90,932 KB
testcase_19 AC 1,099 ms
90,916 KB
testcase_20 AC 1,019 ms
89,456 KB
testcase_21 AC 1,072 ms
89,188 KB
testcase_22 AC 1,075 ms
89,256 KB
testcase_23 AC 1,051 ms
89,392 KB
testcase_24 AC 1,069 ms
89,020 KB
testcase_25 AC 1,028 ms
89,212 KB
testcase_26 AC 1,009 ms
92,100 KB
testcase_27 AC 994 ms
96,544 KB
testcase_28 AC 1,014 ms
99,120 KB
testcase_29 AC 1,049 ms
121,396 KB
testcase_30 AC 1,060 ms
123,168 KB
testcase_31 AC 1,039 ms
147,820 KB
testcase_32 AC 1,143 ms
160,792 KB
testcase_33 AC 1,128 ms
162,220 KB
testcase_34 AC 1,126 ms
171,640 KB
testcase_35 AC 907 ms
89,840 KB
testcase_36 AC 913 ms
91,800 KB
testcase_37 AC 896 ms
91,304 KB
testcase_38 AC 885 ms
89,252 KB
testcase_39 AC 902 ms
91,056 KB
testcase_40 AC 864 ms
89,324 KB
testcase_41 AC 861 ms
92,896 KB
testcase_42 AC 867 ms
93,392 KB
testcase_43 AC 860 ms
91,164 KB
testcase_44 AC 885 ms
69,932 KB
testcase_45 AC 889 ms
75,304 KB
testcase_46 AC 868 ms
77,908 KB
testcase_47 AC 836 ms
73,356 KB
testcase_48 AC 872 ms
82,480 KB
testcase_49 AC 869 ms
86,724 KB
testcase_50 AC 1 ms
6,940 KB
testcase_51 AC 1 ms
6,944 KB
testcase_52 AC 1 ms
6,944 KB
testcase_53 AC 1 ms
6,940 KB
testcase_54 AC 1 ms
6,944 KB
testcase_55 AC 1 ms
6,940 KB
testcase_56 AC 1 ms
6,940 KB
testcase_57 AC 1 ms
6,944 KB
権限があれば一括ダウンロードができます

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 = 1_000_000_007;
alias Mint = ModInt!MO;


int N;
int[] A, B;

int[][] G;
int[] par;

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);
    }
  }
  auto crt = [Mint(1), Mint(0)];
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      auto nxt = new Mint[2];
      nxt[0] += crt[0] * (2 * dp[v][0]);
      nxt[1] += crt[0] * dp[v][1];
      nxt[1] += crt[1] * (2 * dp[v][0]);
      crt = nxt;
    }
  }
  dp[u] = crt;
  dp[u][1] += dp[u][0];
}

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, 2);
  auto rs = new Mint[][](len + 1, 2);
  ls[0] = (p != -1) ? [2 * DP[u][0], DP[u][1]] : [Mint(1), Mint(0)];
  foreach (j; 0 .. len) {
    ls[j + 1][0] += ls[j][0] * (2 * dp[vs[j]][0]);
    ls[j + 1][1] += ls[j][0] * dp[vs[j]][1];
    ls[j + 1][1] += ls[j][1] * (2 * dp[vs[j]][0]);
  }
  rs[len] = [Mint(1), Mint(0)];
  foreach_reverse (j; 0 .. len) {
    rs[j][0] += rs[j + 1][0] * (2 * dp[vs[j]][0]);
    rs[j][1] += rs[j + 1][0] * dp[vs[j]][1];
    rs[j][1] += rs[j + 1][1] * (2 * dp[vs[j]][0]);
  }
  foreach (j; 0 .. len) {
    DP[vs[j]] = new Mint[2];
    DP[vs[j]][0] += ls[j][0] * rs[j + 1][0];
    DP[vs[j]][1] += ls[j][0] * rs[j + 1][1];
    DP[vs[j]][1] += ls[j][1] * rs[j + 1][0];
    DP[vs[j]][1] += DP[vs[j]][0];
  }
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      DFS(v, u);
    }
  }
}

void main() {
  try {
    for (; ; ) {
      N = 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 = 0;
      dfs(rt, -1);
      DFS(rt, -1);
      debug {
        writeln("dp = ", dp);
        writeln("DP = ", DP);
      }
      
      Mint ans;
      foreach (u; 0 .. N) {
        auto crt = new Mint[4];
        crt[0] = 1;
        if (par[u] != -1) {
          auto nxt = new Mint[4];
          foreach (x; 0 .. 4) {
            nxt[x] += crt[x] * (2 * DP[u][0]);
            if (x + 1 < 4) {
              nxt[x + 1] += crt[x] * DP[u][1];
            }
          }
          crt = nxt;
        }
        foreach (i; G[u]) {
          const v = A[i] ^ B[i] ^ u;
          if (v != par[u]) {
            auto nxt = new Mint[4];
            foreach (x; 0 .. 4) {
              nxt[x] += crt[x] * (2 * dp[v][0]);
              if (x + 1 < 4) {
                nxt[x + 1] += crt[x] * dp[v][1];
              }
            }
            crt = nxt;
          }
        }
        debug {
          writeln(u, ": ", crt);
        }
        ans += 6 * crt[3];
        ans += 6 * crt[2];
        ans += 3 * crt[1];
        ans += 1 * crt[0];
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
0