Submission #1030731

#TimeUsernameProblemLanguageResultExecution timeMemory
1030731NeroZeinTourism (JOI23_tourism)C++17
10 / 100
5104 ms326664 KiB
#include "bits/stdc++.h"
using namespace std;
#pragma GCC optimize("Ofast,fast-math,unroll-loops")
#pragma GCC target("avx2,fma")
 
#ifdef Nero
#include "Deb.h"
#else
#define debug(...)
#endif
 
const int B = 400;
const int LOG = 18; 
const int N = 1e5 + 5; 
 
int n, m, q;
int c[N];
int dep[N];
int idd, id[N];
vector<int> g[N];
int spa[LOG][N * 2]; 
 
void dfs(int v, int p) {
  id[v] = idd;
  spa[0][idd++] = v;
  for (int u : g[v]) {
    if (u == p) {
      continue; 
    }
    dep[u] = dep[v] + 1; 
    dfs(u, v);
    spa[0][idd++] = v; 
  }
}
 
int get(int l, int r) {
  int lg = 31 - __builtin_clz(r - l + 1);
  int u = spa[lg][l], v = spa[lg][r - (1 << lg) + 1];
  return dep[u] < dep[v] ? u : v;
}
 
int distance(int u, int v) {
  int l = id[u], r = id[v];
  if (l > r) {
    swap(l, r); 
  }
  int lca = get(l, r);
  int ret = dep[u] + dep[v] - 2 * dep[lca];
  return ret; 
}
 
int cnt[B][N];
int in_id[N * 2];
int ans[N];
int res[B];
int pre[B][N], nxt[B][N];
vector<pair<int, int>> qs[N]; 
 
void preprocess() {//B * N
  for (int ver = 0; ver * B < m; ++ver) {//M / B (B)
    for (int r = ver * B; r < m; ++r) {//M
      int v = c[r];
      cnt[ver][v]++;
      in_id[id[v]] = v; 
    }
    vector<int> ord; 
    for (int i = 0; i < idd; ++i) {//2 * N
      if (in_id[i] != 0) {
        ord.push_back(in_id[i]);
        in_id[i] = 0; 
      }
    }
    //debug(ord);
    //cerr << '\n';
    for (int i = 1; i < (int) ord.size(); ++i) {//N
      int u = ord[i - 1], v = ord[i];
      res[ver] += distance(u, v); 
      pre[ver][v] = u;
      nxt[ver][u] = v; 
    }
    nxt[ver][ord.back()] = ord[0];
    pre[ver][ord[0]] = ord.back();
    res[ver] += distance(ord[0], ord.back()); 
  }
}
 
void back(int r) {
  //debug(r);
  for (int ver = 0; ver * B <= r; ++ver) {//M / B
    int v = c[r];
    if (--cnt[ver][v] > 0) {
      continue; 
    }
    //int old = res[ver];
    int cpre = pre[ver][v];
    int cnxt = nxt[ver][v];
    if (cpre != 0) {
      res[ver] -= distance(v, cpre);
    }
    if (cnxt != 0) {
      res[ver] -= distance(v, cnxt);
    }
    if (cpre != 0 && cnxt != 0) {
      nxt[ver][cpre] = cnxt;
      pre[ver][cnxt] = cpre; 
      res[ver] += distance(cpre, cnxt); 
    }
    //debug(ver, v, cpre, cnxt, old, res[ver]);
  }
  //cerr << '\n';
}
 
int cnt2[N];
vector<int> clean;
int curpre[N], curnxt[N];
 
void check(int v) {
  if (curpre[v] == 0 && curnxt[v] == 0) {
    clean.push_back(v);
  }
}
 
void rem(int ver, int cl, int& ret) {
  int v = c[cl];
  check(v);
  if (cnt2[v] == 0) {
    cnt2[v] = cnt[ver][v];
  }
  if (curpre[v] == 0) {
    curpre[v] = pre[ver][v];
  }
  if (curnxt[v] == 0) {
    curnxt[v] = nxt[ver][v];
  }
  if (--cnt2[v] != 0) {
    return; 
  }
  int cpre = curpre[v];
  int cnxt = curnxt[v];
  if (cpre != 0) {
    ret -= distance(v, cpre);
  }
  if (cnxt != 0) {
    ret -= distance(v, cnxt);
  }
  if (cpre != 0 && cnxt != 0) {
    check(cpre);
    check(cnxt);
    curpre[cnxt] = cpre;
    curnxt[cpre] = cnxt; 
    ret += distance(cpre, cnxt); 
  }
}
 
int qry(int l) {
  int ver = l / B;
  int ret = res[ver];
  int cl = ver * B;
  assert(l - cl < B);
  while (cl < l) {
    rem(ver, cl, ret);
    cl++;
  }
  return ret; 
}
 
void cleanup() {
  for (int v : clean) {
    cnt2[v] = curpre[v] = curnxt[v] = 0; 
  }
}
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cin >> n >> m >> q;
  for(int i = 0; i < n - 1; ++i) {
    int u, v;
    cin >> u >> v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  dfs(1, 1); 
  for (int j = 1; j < LOG; ++j) {
    for (int i = 0; i + (1 << j) <= idd; ++i) {
      int u = spa[j - 1][i], v = spa[j - 1][i + (1 << (j - 1))];
      spa[j][i] = (dep[u] < dep[v] ? u : v); 
    }
  }
  for (int i = 0; i < m; ++i) {
    cin >> c[i];
  }
  preprocess();
  for (int i = 0; i < q; ++i) {
    int l, r;
    cin >> l >> r;
    --l, --r;
    qs[r].push_back({l, i});
  }
  for (int r = m - 1; r >= 0; --r) {
    for (auto [ql, qi] : qs[r]) {
      ans[qi] = (qry(ql) + 2) / 2;
      cleanup();
    }
    back(r); 
  }
  for (int i = 0; i < q; ++i) {
    cout << ans[i] << '\n';
  }
  return 0;
}
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