結果

問題 No.529 帰省ラッシュ
ユーザー tonegawatonegawa
提出日時 2020-05-13 09:13:41
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 508 ms / 4,500 ms
コード長 5,977 bytes
コンパイル時間 1,515 ms
コンパイル使用メモリ 104,668 KB
実行使用メモリ 49,876 KB
最終ジャッジ日時 2024-09-14 15:27:37
合計ジャッジ時間 7,386 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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 20 ms
20,492 KB
testcase_01 AC 20 ms
20,492 KB
testcase_02 AC 20 ms
20,492 KB
testcase_03 AC 20 ms
20,620 KB
testcase_04 AC 22 ms
20,748 KB
testcase_05 AC 23 ms
20,816 KB
testcase_06 AC 23 ms
20,688 KB
testcase_07 AC 23 ms
20,796 KB
testcase_08 AC 291 ms
43,372 KB
testcase_09 AC 279 ms
40,476 KB
testcase_10 AC 313 ms
36,984 KB
testcase_11 AC 319 ms
36,780 KB
testcase_12 AC 193 ms
35,384 KB
testcase_13 AC 204 ms
46,548 KB
testcase_14 AC 284 ms
49,876 KB
testcase_15 AC 487 ms
36,780 KB
testcase_16 AC 508 ms
36,776 KB
testcase_17 AC 295 ms
43,468 KB
testcase_18 AC 293 ms
43,632 KB
testcase_19 AC 297 ms
41,496 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 # 

#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <deque>
#include <algorithm>
#include <set>
#include <map>
#include <functional>
#define vll vector<ll>
#define vvvl vector<vvl>
#define vvl vector<vector<ll>>
#define VV(a, b, c, d) vector<vector<d> >(a, vector<d>(b, c))
#define VVV(a, b, c, d) vector<vvl>(a, vvl(b, vll (c, d)));
#define re(c, b) for(ll c=0;c<b;c++)
#define all(obj) (obj).begin(), (obj).end()
typedef long long int ll;
#define int long long
typedef long double ld;
using namespace std;

using Weight = int;
using Flow = int;
struct Edge {
    int src, dst;
    Weight weight;
    Flow cap;
    Edge() : src(0), dst(0), weight(0) {}
    Edge(int s, int d, Weight w) : src(s), dst(d), weight(w) {}
};
using Edges = std::vector<Edge>;
using Graph = std::vector<Edges>;
using Array = std::vector<Weight>;
using Matrix = std::vector<Array>;

std::pair<std::vector<int>, Edges> bridge(const Graph& g) {
    const int n = g.size();
    int idx = 0, s = 0, t = 0, k = 0;
    std::vector<int> ord(n, -1), onS(n), stk(n), roots(n), cmp(n);
    Edges brdg;
    std::function<void(int, int)> dfs = [&](int v, int u) {
        ord[v] = idx++;
        stk[s++] = v;
        onS[v] = true;
        roots[t++] = v;
        for (auto& e : g[v]) {
            int w = e.dst;
            if (ord[w] == -1)
                dfs(w, v);
            else if (u != w && onS[w])
                while (ord[roots[t - 1]] > ord[w]) --t;
        }
        if (v == roots[t - 1]) {
            brdg.emplace_back(u, v, 0);
            while (1) {
                int w = stk[--s];
                onS[w] = false;
                cmp[w] = k;
                if (v == w) break;
            }
            --t;
            ++k;
        }
    };
    for (int u = 0; u < n; u++) {
        if (ord[u] == -1) {
            dfs(u, n);
            brdg.pop_back();
        }
    }
    return std::make_pair(cmp, brdg);
}
#define SIZE 100001
template< typename G >
struct HeavyLightDecomposition {
  G &g;
  vector<ll> sz, in, out, head, rev, par;

  HeavyLightDecomposition(G &g) :
      g(g), sz(SIZE), in(SIZE), out(SIZE), head(SIZE), rev(SIZE), par(SIZE) {}

  void dfs_sz(ll idx, ll p) {
    par[idx] = p;
    sz[idx] = 1;
    if(g[idx].size() && g[idx][0] == p) swap(g[idx][0], g[idx].back());
    for(auto &to : g[idx]) {
      if(to == p) continue;
      dfs_sz(to, idx);
      sz[idx] += sz[to];
      if(sz[g[idx][0]] < sz[to]) swap(g[idx][0], to);
    }
  }

  void dfs_hld(ll idx, ll par, ll &times) {
    in[idx] = times++;
    rev[in[idx]] = idx;
    for(auto &to : g[idx]) {
      if(to == par) continue;
      head[to] = (g[idx][0] == to ? head[idx] : to);
      dfs_hld(to, idx, times);
    }
    out[idx] = times;
  }

  void build() {
    dfs_sz(0, -1);
    ll t = 0;
    dfs_hld(0, -1, t);
  }
  ll la(ll v, ll k) {
    while(1) {
      int u = head[v];
      if(in[v] - k >= in[u]) return rev[in[v] - k];
      k -= in[v] - in[u] + 1;
      v = par[u];
    }
  }
  ll lca(ll u, ll v) {
    for(;; v = par[head[v]]) {
      if(in[u] > in[v]) swap(u, v);
      if(head[u] == head[v]) return u;
    }
  }
  template< typename T, typename Q, typename F >
  T query(ll u, ll v, const T &ti, const Q &q, const F &f, bool edge = false) {
    T l = ti, r = ti;
    for(;; v = par[head[v]]) {
      if(in[u] > in[v]) swap(u, v), swap(l, r);
      if(head[u] == head[v]) break;
      l = f(q(in[head[v]], in[v] + 1), l);
    }
    return f(f(q(in[u] + edge, in[v] + 1), l), r);
//  return {f(q(in[u] + edge, in[v] + 1), l), r};
  }

  template< typename Q >
  void add(ll u, ll v, const Q &q, bool edge = false) {
    for(;; v = par[head[v]]) {
      if(in[u] > in[v]) swap(u, v);
      if(head[u] == head[v]) break;
      q(in[head[v]], in[v] + 1);
    }
    q(in[u] + edge, in[v] + 1);
  }
};
//-------------------------------------------------------------------
struct segtree{
  ll M=1, INIT;
  vector<ll> dat;
  segtree(ll N, ll num){
    INIT = num;
    while(M<N) M*=2;
    for(int i=0;i<M*2-1;i++)  dat.push_back(num);
  }
  void update(ll x, ll k, ll l=0, int r=-1){
    if(r==-1) r = M;
    k+=M-1;
    dat[k] = x;
    while(k>0) k = (k-1)/2, dat[k] = max(dat[k*2+1],dat[k*2+2]);
  }
  ll query(ll a, ll b=-1, ll k=0, ll l=0, ll r=-1){
    if(r==-1) r = M;
    if(b==-1) b = M;
    if(r<=a || b<=l) return INIT;
    if(a<=l && r<=b) return dat[k];
    ll A = query(a, b, k*2+1, l, (l+r)/2);
    ll B = query(a, b, k*2+2, (l+r)/2, r);
    return max(A, B);
  }
};
//-------------------------------------------------------------------

#include <queue>
signed main() {
  ll a, b, c, n, m, q;std::cin >> n >> m >> q;
  Graph G(SIZE);

  re(i, m){
    scanf("%lld %lld", &a, &b);
    G[a-1].push_back(Edge(a-1, b-1, 1));
    G[b-1].push_back(Edge(b-1, a-1, 1));
  }

  auto w = bridge(G);
  vector<int> cmp = w.first;
  vector<vector<ll>> T(SIZE, vector<ll>());

  for(auto e:w.second){
    int from = cmp[e.src];
    int to = cmp[e.dst];
    T[from].push_back(to);
    T[to].push_back(from);
  }

  HeavyLightDecomposition<vector<vector<ll>>> hld(T);
  hld.build();
  segtree seg(SIZE, -1);
  vector<priority_queue<ll>> max_cost(SIZE);

  ll f = 1000000;
  re(i, q){
    scanf("%lld %lld %lld", &a, &b, &c);
    if(a==1){
      b = cmp[b-1];
      max_cost[b].push(c);
      ll MAX = max_cost[b].top();
      hld.add(b, b, [&](ll x, ll y){
        seg.update(
          (MAX==-1?-1:MAX*f+b), x);
      });
    }else{
      b = cmp[b-1];
      c = cmp[c-1];
      ll Q = hld.query(b, c, (ll)-1,
        [&](ll x, ll y){return seg.query(x, y);},
        [&](ll x, ll y){return max(x, y);}
      );
      //std::cout << Q << '\n';
      if(Q==-1) printf("-1\n");
      else{
        printf("%lld\n", Q/f);
        ll to = Q%f;
        max_cost[to].pop();
        ll MAX = (!max_cost[to].empty()?max_cost[to].top():-1);
        hld.add(to, to, [&](ll x, ll y){
          seg.update((MAX==-1?-1:MAX*f+to), x);
        });
      }
    }
  }
  return 0;
}
0