#470516 (D) No.1038 TreeAddQuery

提出ソース

結果

問題	No.1038 TreeAddQuery
ユーザー	👑 hos.lyric
提出日時	2020-04-25 15:54:58
言語	D (dmd 2.106.1)
結果	AC
実行時間	3,552 ms / 4,000 ms
コード長	6,502 bytes
コンパイル時間	1,101 ms
コンパイル使用メモリ	129,152 KB
実行使用メモリ	195,184 KB
最終ジャッジ日時	2024-06-22 06:48:09
合計ジャッジ時間	47,791 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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	1 ms 6,812 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	30 ms 6,940 KB
testcase_04	AC	34 ms 6,940 KB
testcase_05	AC	36 ms 7,148 KB
testcase_06	AC	31 ms 6,940 KB
testcase_07	AC	39 ms 7,048 KB
testcase_08	AC	2,271 ms 117,924 KB
testcase_09	AC	2,568 ms 123,088 KB
testcase_10	AC	2,602 ms 124,656 KB
testcase_11	AC	2,568 ms 123,136 KB
testcase_12	AC	2,717 ms 140,844 KB
testcase_13	AC	3,552 ms 195,120 KB
testcase_14	AC	3,274 ms 168,568 KB
testcase_15	AC	3,166 ms 148,300 KB
testcase_16	AC	3,052 ms 151,512 KB
testcase_17	AC	3,001 ms 154,760 KB
testcase_18	AC	622 ms 44,596 KB
testcase_19	AC	756 ms 49,472 KB
testcase_20	AC	751 ms 49,824 KB
testcase_21	AC	958 ms 61,228 KB
testcase_22	AC	1,334 ms 73,320 KB
testcase_23	AC	1,475 ms 75,276 KB
testcase_24	AC	2,223 ms 118,844 KB
testcase_25	AC	3,487 ms 195,184 KB
testcase_26	AC	2,034 ms 143,588 KB

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ソースコード

raw source code

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)); }

void bAdd(T)(T[] bit, int pos, T val)
in {
  assert(0 <= pos && pos < bit.length, "bAdd: 0 <= pos < |bit| must hold");
}
do {
  for (int x = pos; x < bit.length; x |= x + 1) {
    bit[x] += val;
  }
}

// sum of [0, pos)
T bSum(T)(T[] bit, int pos)
in {
  assert(0 <= pos && pos <= bit.length, "bSum: 0 <= pos <= |bit| must hold");
}
do {
  T ret = 0;
  for (int x = pos - 1; x >= 0; x = (x & (x + 1)) - 1) {
    ret += bit[x];
  }
  return ret;
}


int N;
int[] A, B;

int[][] G;

int bitLen;
int[][] rss, jss, dss, poss;
int[][] ptrR;
int[][][] ptrs;

void solveCentroidDecomp() {
  auto sz = new int[N];
  auto del = new bool[N];
  void dfsSz(int u, int p) {
    sz[u] = 1;
    foreach (i; G[u]) {
      const v = A[i] ^ B[i] ^ u;
      if (v != p) {
        dfsSz(v, u);
        sz[u] += sz[v];
      }
    }
  }
  dfsSz(0, -1);

  // r: centroid
  void solveSubtree(int r) {
    debug {
      string dfsDebug(int u, int p) {
        string ret = u.to!string;
        foreach (i; G[u]) {
          const v = A[i] ^ B[i] ^ u;
          if (!del[v] && v != p) {
            ret ~= "(" ~ dfsDebug(v, u) ~ ")";
          }
        }
        return ret;
      }
      writeln("solveSubtree ", dfsDebug(r, -1));
    }
    //
    int[] vs;
    foreach (i; G[r]) {
      const v = A[i] ^ B[i] ^ r;
      if (!del[v]) {
        vs ~= v;
      }
    }
    const vsLen = cast(int)(vs.length);
    
    // BFS
    alias Entry = Tuple!(int, "d", int, "u", int, "p", int, "j");
    Entry[] que;
    auto ess = new Entry[][vsLen];
    que ~= Entry(0, r, -1, -1);
    foreach (j; 0 .. vsLen) {
      que ~= Entry(1, vs[j], r, j);
      ess[j] ~= Entry(1, vs[j], r, j);
    }
    for (int qb = 1; qb < que.length; ) {
      const d = que[qb].d;
      const u = que[qb].u;
      const p = que[qb].p;
      const j = que[qb].j;
      ++qb;
      foreach (i; G[u]) {
        const v = A[i] ^ B[i] ^ u;
        if (!del[v] && v != p) {
          que ~= Entry(d + 1, v, u, j);
          ess[j] ~= Entry(d + 1, v, u, j);
        }
      }
    }
    
    foreach (ref e; que) {
      rss[e.u] ~= r;
      jss[e.u] ~= e.j;
      dss[e.u] ~= e.d;
    }
    {
      const dLim = que[$ - 1].d + 1;
      ptrR[r] = new int[dLim + 1];
      int x;
      foreach (d; 0 .. dLim) {
        ptrR[r][d] = bitLen;
        for (; x < que.length && que[x].d == d; ++x) {
          poss[que[x].u] ~= bitLen++;
        }
      }
      ptrR[r][dLim] = bitLen;
    }
    ptrs[r] = new int[][vsLen];
    foreach (j; 0 .. vsLen) {
      const dLim = ess[j][$ - 1].d + 1;
      ptrs[r][j] = new int[dLim + 1];
      int x;
      foreach (d; 0 .. dLim) {
        ptrs[r][j][d] = bitLen;
        for (; x < ess[j].length && ess[j][x].d == d; ++x) {
          poss[ess[j][x].u] ~= bitLen++;
        }
      }
      ptrs[r][j][dLim] = bitLen;
    }
    //
  }

  void solveRec(int u) {
    for (; ; ) {
      int vm = -1;
      foreach (i; G[u]) {
        const v = A[i] ^ B[i] ^ u;
        if (!del[v]) {
          if (vm == -1 || sz[vm] < sz[v]) {
            vm = v;
          }
        }
      }
      if (vm == -1 || sz[u] >= 2 * sz[vm]) {
        solveSubtree(u);
        del[u] = true;
        foreach (i; G[u]) {
          const v = A[i] ^ B[i] ^ u;
          if (!del[v]) {
            solveRec(v);
          }
        }
        break;
      } else {
        sz[u] -= sz[vm];
        sz[vm] += sz[u];
        u = vm;
      }
    }
  }
  solveRec(0);
}

void main() {
  try {
    for (; ; ) {
      N = readInt();
      const Q = readInt();
      A = new int[N - 1];
      B = new int[N - 1];
      foreach (i; 0 .. N - 1) {
        A[i] = readInt() - 1;
        B[i] = readInt() - 1;
      }
      auto X = new int[Q];
      auto Y = new int[Q];
      auto Z = new long[Q];
      foreach (q; 0 .. Q) {
        X[q] = readInt() - 1;
        Y[q] = readInt();
        Z[q] = readLong();
      }
      
      G = new int[][N];
      foreach (i; 0 .. N - 1) {
        G[A[i]] ~= i;
        G[B[i]] ~= i;
      }
      
      bitLen = 0;
      rss = new int[][N];
      jss = new int[][N];
      dss = new int[][N];
      poss = new int[][N];
      ptrR = new int[][N];
      ptrs = new int[][][N];
      solveCentroidDecomp;
      debug {
        writeln("bitLen = ", bitLen);
        writeln("rss = ", rss);
        writeln("jss = ", jss);
        writeln("dss = ", dss);
        writeln("poss = ", poss);
        writeln("ptrR = ", ptrR);
        writeln("ptrs = ", ptrs);
      }
      
      auto bit = new long[bitLen + 1];
      void rangeAdd(int a, int b, long val) {
        debug {
          // writeln("rangeAdd ", a, " ", b, " ", val);
        }
        bit.bAdd(a, +val);
        bit.bAdd(b, -val);
      }
      foreach (q; 0 .. Q) {
        long ans;
        foreach (pos; poss[X[q]]) {
          ans += bit.bSum(pos + 1);
        }
        writeln(ans);
        const rsLen = cast(int)(rss[X[q]].length);
        foreach (k; 0 .. rsLen) {
          const r = rss[X[q]][k];
          const j = jss[X[q]][k];
          const d = dss[X[q]][k];
          if (Y[q] >= d) {
            const dd = Y[q] - d + 1;
            rangeAdd(ptrR[r][0], ptrR[r][min(dd, $ - 1)], Z[q]);
            if (j != -1) {
              rangeAdd(ptrs[r][j][0], ptrs[r][j][min(dd, $ - 1)], -Z[q]);
            }
          }
        }
      }
    }
  } catch (EOFException e) {
  }
}

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結果

テストケース

ソースコード