Submission #865047

#	Time	Username	Problem	Language	Result	Execution time	Memory
865047		xiaowuc1	Factories (JOI14_factories)	C++17	100 / 100	4373 ms	329952 KiB

factories

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <vector>

using namespace std;

// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
typedef vector<int> vi;
#define f first
#define s second
#define derr if(0) cerr
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << flush;
// END NO SAD

template<class Fun>
class y_combinator_result {
  Fun fun_;
public:
  template<class T>
  explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}

  template<class ...Args>
  decltype(auto) operator()(Args &&...args) {
    return fun_(std::ref(*this), std::forward<Args>(args)...);
  }
};

template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
  return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}

template<class T>
bool updmin(T& a, T b) {
  if(b < a) {
    a = b;
    return true;
  }
  return false;
}
template<class T>
bool updmax(T& a, T b) {
  if(b > a) {
    a = b;
    return true;
  }
  return false;
}
typedef int64_t ll;
typedef pair<int, int> pii;

mt19937 g1(0x48);
ll get_random_int(ll a, ll b) {
  return uniform_int_distribution<ll>(a, b)(g1);
}

struct koosaga {
  vector<vector<ll>> centroidtovertexdist; // <id, depth>
  vector<vector<int>> centroidtochildidx; // <id, depth>
  vector<vector<int>> centroidtochildcentroid;
  int n;
  int rootcentroid;
  ll qry(int currcentroid, int depth, vector<int>& lhs, vector<int>& rhs) {
    if(sz(lhs) == 0 || sz(rhs) == 0) return 1e18;
    ll ret = 1e18;
    ll lv = 1e18;
    ll rv = 1e18;
    {
      sort(all(lhs), [&](int a, int b) -> bool {
        return centroidtochildidx[a][depth] < centroidtochildidx[b][depth];
      });
      sort(all(rhs), [&](int a, int b) -> bool {
        return centroidtochildidx[a][depth] < centroidtochildidx[b][depth];
      });
    }
    int li = 0, ri = 0;
    if(lhs[li] == currcentroid) lv = 0, li++;
    if(rhs[ri] == currcentroid) rv = 0, ri++;
    while(li < sz(lhs) || ri < sz(rhs)) {
      int choice = 1e9;
      if(li < sz(lhs)) updmin(choice, centroidtochildidx[lhs[li]][depth]);
      if(ri < sz(rhs)) updmin(choice, centroidtochildidx[rhs[ri]][depth]);
      assert(choice >= 0);
      int nli = li;
      vector<int> nlv, nrv;
      while(nli < sz(lhs) && centroidtochildidx[lhs[nli]][depth] == choice) {
        nlv.pb(lhs[nli]);
        updmin(lv, centroidtovertexdist[lhs[nli++]][depth]);
      }
      int nri = ri;
      while(nri < sz(rhs) && centroidtochildidx[rhs[nri]][depth] == choice) {
        nrv.pb(rhs[nri]);
        updmin(rv, centroidtovertexdist[rhs[nri++]][depth]);
      }
      updmin(ret, qry(centroidtochildcentroid[currcentroid][choice], depth+1, nlv, nrv));
      li = nli;
      ri = nri;
    }
    return min(lv+rv, ret);
  }
  koosaga(){}
  koosaga(vector<array<int, 3>>& e) {
    n = sz(e) + 1;
    vector<int> nxtid(2*n-2, -1);
    vector<int> startid(n, -1);
    vector<int> to(2*n-2, -1);
    vector<int> weights(2*n-2);
    for(int i = 0; i < sz(e); i++) {
      auto [a, b, w] = e[i];
      to[2*i] = b;
      weights[2*i] = w;
      nxtid[2*i] = startid[a];
      startid[a] = 2*i;
      to[2*i+1] = a;
      weights[2*i+1] = w;
      nxtid[2*i+1] = startid[b];
      startid[b] = 2*i+1;
    }
    centroidtovertexdist.resize(n);
    centroidtochildidx.resize(n);
    centroidtochildcentroid.resize(n);
    rootcentroid = -1;
    vector<int> seen(n);
    vector<int> par(n);
    vector<int> treesz(n);
    vector<bool> processed(n);
    int centroiditer = 0;
    vector<int> postorder(n);
    vector<array<ll, 3>> q(n);
    auto init = y_combinator([&](auto initself, const int srcv) -> int {
      assert(!processed[srcv]);
      auto getcentroid = [&]() -> int {
        seen[srcv] = centroiditer++;
        int ql = 0;
        int qr = 0;
        postorder[qr++] = srcv;
        while(ql < qr) {
          int curr = postorder[ql++];
          treesz[curr] = 1;
          for(int id = startid[curr]; id >= 0; id = nxtid[id]) {
            int nv = to[id];
            if(!processed[nv] && seen[nv] != centroiditer) {
              seen[nv] = centroiditer;
              par[nv] = curr;
              postorder[qr++] = nv;
            }
          }
        }
        int totnodes = qr;
        for(int i = qr-1; i > 0; i--) {
          treesz[par[postorder[i]]] += treesz[postorder[i]];
          if(2*treesz[postorder[i]] >= totnodes) return postorder[i];
        }
        return srcv;
      };
      int centroid = getcentroid(); 
      centroidtochildidx[centroid].pb(-1);
      int childidx = 0;
      {
        int ql = 0;
        int qr = 0;
        q[qr++] = {centroid, 0, -1};
        while(ql < qr) {
          auto [v, w, p] = q[ql++];
          centroidtovertexdist[v].pb(w);
          if(p == centroid) centroidtochildidx[v].pb(childidx++);
          else if(p >= 0) centroidtochildidx[v].pb(centroidtochildidx[p].back());
          for(int id = startid[v]; id >= 0; id = nxtid[id]) {
            int nv = to[id];
            int nw = weights[id];
            if(processed[nv] || nv == p) continue;
            q[qr++] = {nv, w+nw, v};
          }
        }
      }
      processed[centroid] = true;
      for(int id = startid[centroid]; id >= 0; id = nxtid[id]) {
        int nv = to[id];
        if(processed[nv]) continue;
        centroidtochildcentroid[centroid].pb(initself(nv));
      }
      return centroid;
    });
    rootcentroid = init(get_random_int(0, n-1));
  }
};


koosaga koo;
void Init(int N, int A[], int B[], int D[]){
  vector<array<int, 3>> edges(N-1);
  for(int i = 0; i < N-1; i++) edges[i] = {A[i], B[i], D[i]};
  koo = koosaga(edges);
}

long long Query(int S, int X[], int T, int Y[]){
  vector<int> lhs(S), rhs(T);
  for(int i = 0; i < S; i++) lhs[i] = X[i];
  for(int i = 0; i < T; i++) rhs[i] = Y[i];
  return koo.qry(koo.rootcentroid, 0, lhs, rhs);
}

/*
void solve() {
  int n, q;
  cin >> n >> q;
  int *A = (int*)malloc(sizeof(int) * (n - 1));
  int *B = (int*)malloc(sizeof(int) * (n - 1));
  int *D = (int*)malloc(sizeof(int) * (n - 1));
  for(int a = 0; a < n - 1; a++){
    cin >> A[a] >> B[a] >> D[a];
  }
  Init(n, A, B, D);
  while(q--) {
    int S, T;	
    cin >> S >> T;
    int *X = (int*)malloc(sizeof(int) * S);
    int *Y = (int*)malloc(sizeof(int) * T);
    for(int b = 0; b < S; b++) cin >> X[b];
    for(int b = 0; b < T; b++) cin >> Y[b];
    cout << Query(S, X, T, Y) << "\n";
  }
}

// what would chika do
// are there edge cases (N=1?)
// are array sizes proper (scaled by proper constant, for example 2* for koosaga tree)
// integer overflow?
// DS reset properly between test cases
// are you doing geometry in floating points
// are you not using modint when you should

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  solve();
}
*/

• Subtask 1: 15 / 15
• Subtask 2: 18 / 18
• Subtask 3: 67 / 67