Submission #899373

#TimeUsernameProblemLanguageResultExecution timeMemory
899373boxRoad Construction (JOI21_road_construction)C++17
100 / 100
4687 ms76028 KiB
#include <bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

#ifdef LOCAL
#define bug(x) cerr << "L" << __LINE__ << " | " << #x << " => " << x << endl
#else
#define bug(x)
#define cerr if (0) cerr
#endif

#define ar array
#define sz(v) int(std::size(v))
#define all(v) std::begin(v), std::end(v)
using i64 = long long;
using vi = vector<int>;
using pi = pair<int, int>;

const int MAXN = 25e4;

int N, K;
i64 X[MAXN], Y[MAXN], x[MAXN], y[MAXN];
vector<i64> vx, vy;
vi at_x[MAXN];
// int tr[MAXN + 1];

/*
const int MAXS = MAXN * 20;

int lc[MAXS], rc[MAXS], sum[MAXS];
int tt;

void inc(int &k, int l, int r, int i) {
    ++tt;
    lc[tt] = lc[k], rc[tt] = rc[k], sum[tt] = sum[k] + 1;
    k = tt;
    if (l < r) {
        int m = (l + r) / 2;
        i <= m ? inc(lc[k], l, m, i) : inc(rc[k], m + 1, r, i);
    }
}

int qry(int k, int l, int r, int ql, int qr) {
    if (ql <= l && qr >= r) return sum[k];
    int m = (l + r) / 2, x = 0;
    if (ql <= m && lc[k]) x += qry(lc[k], l, m, ql, qr);
    if (qr > m && rc[k]) x += qry(rc[k], m + 1, r, ql, qr);
    return x;
}
*/

int get_count(i64 c) {
    int num = 0;
    vector<tuple<i64, int, int>> events;
    for (int i = 0; i < N; i++) {
        events.push_back({X[i] - c, 0, i});
        events.push_back({X[i], 1, i});
        events.push_back({X[i] + c, 2, i});
    }
    sort(all(events));
    ordered_set<pair<i64, int>> os;
    for (auto [x, t, i] : events)
        if (t == 0) os.insert({Y[i], i});
        else if (t == 2) os.erase({Y[i], i});
        else {
            num += os.order_of_key({Y[i] + c, MAXN}) - os.order_of_key({Y[i] - c, 0}) - 1;
            if (num > K * 2) return K + 1;
        }
    // assert(num % 2 == 0);
    return num / 2;
}

vector<i64> ans;
set<i64> open;
vi add[MAXN], del[MAXN];
set<pair<i64, int>> active;

void add_ans(i64 x) {
    if (open.count(x)) open.erase(x);
    else open.insert(x), ans.push_back(x);
}

i64 dist(int i, int j) {
    return max(abs(i64(X[i]) - X[j]), abs(i64(Y[i]) - Y[j]));
}

int main() {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> N >> K;
    for (int i = 0; i < N; i++) {
        cin >> X[i] >> Y[i];
        tie(X[i], Y[i]) = pi(X[i] - Y[i], X[i] + Y[i]);
    }
    vx = vector(X, X + N), vy = vector(Y, Y + N);
    sort(all(vx)), vx.erase(unique(all(vx)), end(vx));
    sort(all(vy)), vy.erase(unique(all(vy)), end(vy));
    for (int i = 0; i < N; i++) {
        x[i] = lower_bound(all(vx), X[i]) - begin(vx);
        y[i] = lower_bound(all(vy), Y[i]) - begin(vy);
        at_x[x[i]].push_back(i);
    }
    /*
    for (int i = 0; i < sz(vx); i++) {
        tr[i + 1] = tr[i];
        for (int j : at_x[i]) inc(tr[i + 1], 0, sz(vy) - 1, y[j]);
    }
    */
    i64 low = 0, hi = 4e9;
    while (low < hi) {
        i64 m = (low + hi) / 2 + 1;
        get_count(m) <= K ? low = m : hi = m - 1;
    }
    i64 c = low;
    for (int i = 0; i < N; i++) {
        int d = lower_bound(all(vx), X[i] - c) - begin(vx);
        int u = upper_bound(all(vx), X[i] + c) - begin(vx) - 1;
        add[d].push_back(i);
        del[u].push_back(i);
    }
    for (int i = 0; i < sz(vx); i++) {
        for (int j : add[i]) active.insert({Y[j], j});
        for (int j : at_x[i])
            for (auto it = active.lower_bound({Y[j] - c, -1}); it != end(active) && it->first <= Y[j] + c; ++it)
                if (j != it->second) add_ans(dist(j, it->second));
        for (int j : del[i]) active.erase({Y[j], j});
    }
    // for (auto x : ans) bug(x);
    // assert(get_count(c) == sz(ans));
    sort(all(ans));
    while (sz(ans) < K) ans.push_back(c + 1);
    for (auto x : ans) cout << x << '\n';
}
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...
#Verdict Execution timeMemoryGrader output
Fetching results...