結果

問題 No.1333 Squared Sum
ユーザー 👑 hos.lyrichos.lyric
提出日時 2021-01-08 21:44:53
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 437 ms / 2,000 ms
コード長 4,521 bytes
コンパイル時間 3,603 ms
コンパイル使用メモリ 152,356 KB
実行使用メモリ 42,620 KB
最終ジャッジ日時 2023-09-04 11:47:15
合計ジャッジ時間 19,406 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge13
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 2 ms
4,380 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 421 ms
22,044 KB
testcase_04 AC 381 ms
20,068 KB
testcase_05 AC 412 ms
20,668 KB
testcase_06 AC 424 ms
20,268 KB
testcase_07 AC 412 ms
20,280 KB
testcase_08 AC 410 ms
20,708 KB
testcase_09 AC 410 ms
20,280 KB
testcase_10 AC 418 ms
20,596 KB
testcase_11 AC 420 ms
21,828 KB
testcase_12 AC 405 ms
20,308 KB
testcase_13 AC 386 ms
42,492 KB
testcase_14 AC 411 ms
32,592 KB
testcase_15 AC 407 ms
39,976 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 1 ms
4,380 KB
testcase_18 AC 2 ms
4,380 KB
testcase_19 AC 1 ms
4,380 KB
testcase_20 AC 1 ms
4,380 KB
testcase_21 AC 1 ms
4,380 KB
testcase_22 AC 1 ms
4,380 KB
testcase_23 AC 2 ms
4,376 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 2 ms
4,376 KB
testcase_26 AC 437 ms
42,320 KB
testcase_27 AC 437 ms
33,148 KB
testcase_28 AC 436 ms
41,836 KB
testcase_29 AC 388 ms
42,620 KB
testcase_30 AC 143 ms
8,172 KB
testcase_31 AC 74 ms
6,292 KB
testcase_32 AC 227 ms
13,476 KB
testcase_33 AC 169 ms
8,928 KB
testcase_34 AC 328 ms
19,188 KB
testcase_35 AC 232 ms
15,360 KB
testcase_36 AC 119 ms
7,560 KB
testcase_37 AC 121 ms
7,712 KB
testcase_38 AC 144 ms
8,408 KB
testcase_39 AC 258 ms
19,016 KB
testcase_40 AC 292 ms
22,088 KB
testcase_41 AC 291 ms
21,856 KB
testcase_42 AC 296 ms
21,468 KB
testcase_43 AC 280 ms
17,180 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 = 10^^9 + 7;
alias Mint = ModInt!MO;


int N;
int[] A, B;
long[] C;

int[][] G;
int[] par;
int[] sz;
Mint[] dp;

void dfs(int u, int p) {
  par[u] = p;
  sz[u] = 1;
  dp[u] = 0;
  foreach (i; G[u]) {
    const v = A[i] ^ B[i] ^ u;
    if (v != p) {
      dfs(v, u);
      sz[u] += sz[v];
      dp[u] += dp[v];
      dp[u] += Mint(sz[v]) * Mint(C[i]);
    }
  }
}

void main() {
  try {
    for (; ; ) {
      N = readInt();
      A = new int[N - 1];
      B = new int[N - 1];
      C = new long[N - 1];
      foreach (i; 0 .. N - 1) {
        A[i] = readInt() - 1;
        B[i] = readInt() - 1;
        C[i] = readLong();
      }
      
      G = new int[][N];
      foreach (i; 0 .. N - 1) {
        G[A[i]] ~= i;
        G[B[i]] ~= i;
      }
      par = new int[N];
      sz = new int[N];
      dp = new Mint[N];
      dfs(0, -1);
      debug {
        writeln("sz = ", sz);
        writeln("dp = ", dp);
      }
      
      Mint ans;
      foreach (u; 0 .. N) {
        Mint sum;
        foreach (i; G[u]) {
          const v = A[i] ^ B[i] ^ u;
          if (v != par[u]) {
            ans += 2 * Mint(N - sz[v]) * Mint(C[i]) * dp[v];
            const here = dp[v] + Mint(sz[v]) * C[i];
            ans -= here * here;
            sum += here;
          }
        }
        ans += sum * sum;
      }
      debug {
        writeln("ans = ", ans);
      }
      foreach (u; 0 .. N) {
        Mint sum;
        foreach (i; G[u]) {
          const v = A[i] ^ B[i] ^ u;
          if (v != par[u]) {
            ans += Mint(N - sz[v]) * Mint(sz[v]) * Mint(C[i]) * Mint(C[i]);
          }
        }
      }
      writeln(ans);
    }
  } catch (EOFException e) {
  }
}
0