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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#121275#4839. Smaller LCAQingyuTL 3ms16116kbC++145.9kb2023-07-07 20:26:352023-07-07 20:27:08

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-07-07 20:27:08]
  • 评测
  • 测评结果:TL
  • 用时:3ms
  • 内存:16116kb
  • [2023-07-07 20:26:35]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int N = 3e5 + 9;
int n, rt, all, tot, tim, fa[N], siz[N], mxp[N], dfn[N], ans[N];
bool vis[N];
vector<int> cur, G[N];
vector<tuple<int, int, int, int>> qry;
struct CountNode {
  int n, tim, s[N << 1];
  vector<int> ans, valx, valy;
  vector<pair<int, int>> nod;
  vector<tuple<int, int, int>> qry;
  inline void add(int k) {
    for (; k <= n; k += k & -k) s[k]++;
  }
  inline void ask(int k, int &x) {
    for (; k; k -= k & -k) x += s[k];
  }
  inline void addNode(int x, int y) {
    // cerr << "counter::addNode " << x << " " << y << endl;
    nod.emplace_back(x, y);
    valx.push_back(x), valy.push_back(y);
  }
  inline void addQuery(int x, int y) {
    // cerr << "counter::addQuery " << x << " " << y << endl;
    qry.emplace_back(x, y, qry.size());
    valx.push_back(x), valy.push_back(y);
  }
  inline int getQuery() {
    // cerr << "counter::getQuery " << ans[tim] << endl;
    return ans[tim++];
  }
  void init() {
    // cerr << "counter::init" << endl;
    tim = 0, nod.clear(), qry.clear(), valx.clear(), valy.clear();
  }
  void solve() {
    // cerr << "counter::solve" << endl;
    ans.resize(qry.size());
    fill(ans.begin(), ans.end(), 0);
    if (!nod.size()) return;
    sort(valx.begin(), valx.end());
    sort(valy.begin(), valy.end());
    valx.erase(unique(valx.begin(), valx.end()), valx.end());
    valy.erase(unique(valy.begin(), valy.end()), valy.end());
    n = valy.size();
    fill(s, s + n + 1, 0);
    for (auto &[x, y] : nod) {
      x = lower_bound(valx.begin(), valx.end(), x) - valx.begin() + 1;
      y = lower_bound(valy.begin(), valy.end(), y) - valy.begin() + 1;
    }
    for (auto &[x, y, i] : qry) {
      x = lower_bound(valx.begin(), valx.end(), x) - valx.begin() + 1;
      y = lower_bound(valy.begin(), valy.end(), y) - valy.begin() + 1;
    }
    sort(nod.begin(), nod.end());
    sort(qry.begin(), qry.end());
    int i = 0, j = 0;
    for (int x = 1; x <= valx.size(); x++) {
      while (i < nod.size() && nod[i].first == x) {
        add(nod[i].second), i++;
      }
      while (j < qry.size() && get<0>(qry[j]) == x) {
        ask(get<1>(qry[j]), ans[get<2>(qry[j])]), j++;
      }
    }
  }
} counter;
void getroot(int u) {
  siz[u] = 1;
  for (int v : G[u])
    if (!vis[v] && v != fa[u]) {
      fa[v] = u;
      getroot(v);
      siz[u] += siz[v];
      mxp[u] = max(mxp[u], siz[v]);
    }
  mxp[u] = max(mxp[u], all - siz[u]);
  if (!rt || mxp[u] < mxp[rt]) rt = u;
}
void getnode(int u) {
  // cerr << "get node " << u << endl;
  cur.push_back(u);
  dfn[u] = ++tot, siz[u] = 1;
  for (int v : G[u])
    if (!vis[v] && v != fa[u]) {
      fa[v] = u;
      getnode(v);
      siz[u] += siz[v];
    }
}
void getquery(int u, int sub) {
  // cerr << "get query " << u << endl;
  qry.emplace_back(dfn[u] + siz[u] - 1, u - 1, sub, 0); // plus this ans
  qry.emplace_back(dfn[u] - 1, u - 1, sub, 0);          // minus this ans
  for (int v : G[u])
    if (!vis[v] && v != fa[u]) {
      qry.emplace_back(dfn[v] + siz[v] - 1, u - 1, sub, 0); // plus this ans
      qry.emplace_back(dfn[v] - 1, u - 1, sub, 0);          // minus this ans
      getquery(v, sub);
    }
}
inline int getresult() {
  int res = get<3>(qry[tim++]);
  res -= get<3>(qry[tim++]);
  return res;
}
void pushans(int u, int w) {
  int tot = getresult();
  // cerr << "push ans " << u << " " << w << " " << tot << endl;
  w += tot;
  ans[u] += w;
  for (int v : G[u])
    if (!vis[v] && v != fa[u]) {
      int sub = getresult();
      pushans(v, w - sub);
    }
}
void solve(int u) {
  // cerr << "=== solve " << u << " ===" << endl;
  vis[u] = 1;
  set<pair<int, int>> pre = {{u, 0}};
  map<int, vector<pair<int, int>>> p;
  tot = 1, dfn[u] = siz[u] = 1;
  for (int v : G[u])
    if (!vis[v]) {
      cur.clear();
      getnode(v);
      siz[u] += siz[v];
      p[v] = {};
      for (int x : cur) {
        for (auto &[y, w] : pre)
          if ((long long)x * y < n) {
            p[w].emplace_back(y, x);
            p[v].emplace_back(x, y);
          } else {
            break;
          }
      }
      for (int x : cur) pre.insert(make_pair(x, v));
    }
  qry.clear(), tim = 0;
  for (int v : G[u])
    if (!vis[v]) {
      getquery(v, v);
    }
  counter.init();
  int curans = 0;
  for (const auto &[v, pv] : p)
    for (const auto &[x, y] : pv) {
      counter.addNode(dfn[x], x * y);
      // cerr << "find " << x << " " << y << endl;
      if (x < y && u > (long long)x * y) ++curans;
    }
  for (auto &[x, y, v, ans] : qry) {
    counter.addQuery(x, y);
  }
  counter.solve();
  for (auto &[x, y, v, ans] : qry) {
    ans += counter.getQuery();
  }
  int i = 0, j;
  for (int v : G[u])
    if (!vis[v]) {
      counter.init(), j = i;
      while (j < qry.size() && get<2>(qry[j]) == v) {
        counter.addQuery(get<0>(qry[j]), get<1>(qry[j])), j++;
      }
      counter.solve(), j = i;
      while (j < qry.size() && get<2>(qry[j]) == v) {
        get<3>(qry[j]) -= counter.getQuery(), j++;
      }
      i = j + 1;
    }
  ans[u] += curans;
  for (int v : G[u])
    if (!vis[v]) {
      int subans = 0;
      for (auto &[x, y] : p[v])
        if (u > (long long)x * y) subans++;
      pushans(v, curans - subans);
    }
  for (int v : G[u])
    if (!vis[v]) {
      rt = 0, all = siz[v], getroot(v), solve(rt);
    }
}
int main() {
#ifdef memset0
  freopen("1.in", "r", stdin);
  // freopen("A2.out", "w", stdout);
#endif
  ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  cin >> n;
  for (int u, v, i = 1; i < n; i++) {
    cin >> u >> v;
    G[u].push_back(v);
    G[v].push_back(u);
  }
  rt = 0, all = n, getroot(1), solve(rt);
  long long tot = (long long)n * (n - 1) / 2 + n;
  // for (int i = 1; i <= n; i++) cerr << ans[i] << " \n"[i == n];
  for (int i = 1; i <= n; i++) cout << (tot - ans[i]) << '\n';
  cerr << "time: " << clock() / (double)CLOCKS_PER_SEC << endl;
}

Details

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Test #1:

score: 100
Accepted
time: 3ms
memory: 16116kb

input:

5
1 2
4 2
2 5
3 5

output:

15
15
15
15
14

result:

ok 5 number(s): "15 15 15 15 14"

Test #2:

score: -100
Time Limit Exceeded

input:

300000
40632 143306
32259 40632
225153 143306
269774 225153
289668 40632
191636 269774
85717 191636
58564 191636
156509 143306
289939 40632
247103 269774
40257 40632
98149 289668
142277 143306
291616 40257
46813 225153
56324 143306
277154 142277
53903 289668
114266 32259
152231 58564
241151 152231
4...

output:


result: