結果

問題 No.650 行列木クエリ
ユーザー 👑 hos.lyrichos.lyric
提出日時 2019-01-23 19:32:41
言語 D
(dmd 2.107.1)
結果
AC  
実行時間 193 ms / 2,000 ms
コード長 4,854 bytes
コンパイル時間 2,132 ms
コンパイル使用メモリ 154,500 KB
実行使用メモリ 34,648 KB
最終ジャッジ日時 2023-09-03 22:56:30
合計ジャッジ時間 4,093 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge13
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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 1 ms
4,384 KB
testcase_01 AC 65 ms
9,696 KB
testcase_02 AC 193 ms
26,636 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 66 ms
9,316 KB
testcase_05 AC 190 ms
26,456 KB
testcase_06 AC 1 ms
5,004 KB
testcase_07 AC 1 ms
5,060 KB
testcase_08 AC 67 ms
11,516 KB
testcase_09 AC 160 ms
34,648 KB
testcase_10 AC 1 ms
5,000 KB
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ソースコード

diff # 

import std.conv, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, 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(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(as.length); for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; }
int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a < val)); }
int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); }


enum MO = 10L^^9 + 7;

alias Mat = long[4];
Mat IDENTITY = [1, 0, 0, 1];

/*
  [ a[0] a[1] ] [ b[0] b[1] ]
  [ a[2] a[3] ] [ b[2] b[3] ]
*/
Mat mul(in Mat a, in Mat b) {
  return [
    (a[0] * b[0] + a[1] * b[2]) % MO, (a[0] * b[1] + a[1] * b[3]) % MO,
    (a[2] * b[0] + a[3] * b[2]) % MO, (a[2] * b[1] + a[3] * b[3]) % MO,
  ];
}

class SegmentTree {
  int n;
  Mat[] prod;
  this(int n_) {
    for (n = 1; n < n_; n <<= 1) {}
    prod = new Mat[n << 1];
    prod[] = IDENTITY;
  }
  void update(int a, in Mat val) {
    prod[a += n] = val;
    for (; (a >>= 1); ) {
      prod[a] = mul(prod[a << 1], prod[a << 1 | 1]);
    }
  }
  Mat rangeProd(int a, int b) {
    Mat retL = IDENTITY, retR = IDENTITY;
    for (a += n, b += n; a <= b; a >>= 1, b >>= 1) {
      if ( a & 1) retL = mul(retL, prod[a++]);
      if (~b & 1) retR = mul(prod[b--], retR);
    }
    return mul(retL, retR);
  }
}

int N;
int[] A, B;
int Q;
string[] T;
int[] I, J;
Mat[] X;

int[][] G;
int[] par, sz;
int E;
int[] F;
int[] es, fs;
int[][] us;

void dfs(int u, int p) {
  par[u] = p;
  sz[u] = 1;
  foreach (v; G[u]) {
    if (v != p) {
      dfs(v, u);
      sz[u] += sz[v];
    }
  }
  bool found;
  foreach (v; G[u]) {
    if (v != p) {
      if (sz[u] <= sz[v] * 2) {
        found = true;
        es[u] = es[v];
        us[es[u]] ~= u;
      }
    }
  }
  if (!found) {
    es[u] = E++;
    us ~= [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();
        B[i] = readInt();
      }
      Q = readInt();
      T = new string[Q];
      I = new int[Q];
      J = new int[Q];
      X = new Mat[Q];
      foreach (q; 0 .. Q) {
        T[q] = readToken();
        switch (T[q]) {
          case "x": {
            I[q] = readInt();
            X[q][0] = readLong();
            X[q][1] = readLong();
            X[q][2] = readLong();
            X[q][3] = readLong();
          } break;
          case "g": {
            I[q] = readInt();
            J[q] = readInt();
          } break;
          default: assert(false);
        }
      }
      
      G = new int[][N];
      foreach (i; 0 .. N - 1) {
        G[A[i]] ~= B[i];
        G[B[i]] ~= A[i];
      }
      par = new int[N];
      sz = new int[N];
      E = 0;
      es = new int[N];
      fs = new int[N];
      us = [];
      const rt = 0;
      dfs(rt, -1);
      F = new int[E];
      foreach (e; 0 .. E) {
        us[e].reverse;
        F[e] = cast(int)(us[e].length);
        foreach (f; 0 .. F[e]) {
          fs[us[e][f]] = f;
        }
      }
      debug {
        writeln("par = ", par);
        writeln("us = ", us);
      }
      
      auto segs = new SegmentTree[E];
      foreach (e; 0 .. E) {
        segs[e] = new SegmentTree(F[e]);
      }
      foreach (q; 0 .. Q) {
        switch (T[q]) {
          case "x": {
            const i = I[q];
            const u = (par[A[i]] == B[i]) ? A[i] : B[i];
            debug {
              writefln("update %s %s", u, X[q]);
            }
            segs[es[u]].update(fs[u], X[q]);
          } break;
          case "g": {
            Mat ans = IDENTITY;
            int u = I[q], v = J[q];
            for (; ; ) {
              if (es[u] == es[v]) {
                ans = mul(segs[es[u]].rangeProd(fs[u] + 1, fs[v]), ans);
                break;
              } else {
                ans = mul(segs[es[v]].rangeProd(0, fs[v]), ans);
                v = par[us[es[v]][0]];
              }
            }
            writefln("%s %s %s %s", ans[0], ans[1], ans[2], ans[3]);
          } break;
          default: assert(false);
        }
      }
    }
  } catch (EOFException e) {
  }
}
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