Submission #1176824

#	Time	Username	Problem	Language	Result	Execution time	Memory
1176824		steveonalex	New Home (APIO18_new_home)	C++20	47 / 100	5101 ms	409352 KiB

new_home

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef unsigned long long ull;

#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()

ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(abs(a), abs(b));}
ll lcm(ll a, ll b){return abs(a) / gcd(a, b) * abs(b);}

ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}

// mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
// double rngesus_d(double l, double r){
//     double cur = rngesus(0, MASK(60) - 1);
//     cur /= MASK(60) - 1;
//     return l + cur * (r - l);
// }

template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b) {a = b; return true;}
        return false;
    }

template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b) {a = b; return true;}
        return false;
    }

template <class T>
    void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
        for(auto item: container) out << item << separator;
        out << finish;
    }

template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

struct SegmentTree{
    int n;
    vector<multiset<int>> a;
    vector<int> X;

    SegmentTree(int _n, vector<int> _X){
        n = _n;
        a.resize(n * 4 + 4);
        X = _X;
    }

    void add(int u, int v, int val, int l, int r, int id){
        if (u <= l && r <= v){
            a[id].insert(val);
            return;
        }   
        int mid = (l + r) >> 1;
        if (u <= mid) add(u, v, val, l, mid, id * 2);
        if (v > mid) add(u, v, val, mid + 1, r, id * 2 + 1);     
    }
    void del(int u, int v, int val, int l, int r, int id){
        if (u <= l && r <= v){
            a[id].erase(a[id].find(val));
            return;
        }   
        int mid = (l + r) >> 1;
        if (u <= mid) del(u, v, val, l, mid, id * 2);
        if (v > mid) del(u, v, val, mid + 1, r, id * 2 + 1);     
    }


    void add(int u, int v, int val){
        u = lower_bound(ALL(X), u) - X.begin();
        v = upper_bound(ALL(X), v) - X.begin() - 1;
        if (u > v) return;
        add(u, v, val, 1, n, 1);
    }
    void del(int u, int v, int val){
        u = lower_bound(ALL(X), u) - X.begin();
        v = upper_bound(ALL(X), v) - X.begin() - 1;
        if (u > v) return;
        del(u, v, val, 1, n, 1);
    }

    int get(int i, int vcl, int l, int r, int id){
        int val = 0;
        if (a[id].size()){
            int j = *a[id].begin();
            maximize(val, abs(j - vcl));
            j = *a[id].rbegin();
            maximize(val, abs(j - vcl));
        }
        if (l == r) return val;
        int mid = (l + r) >> 1;
        if (i <= mid) return max(val, get(i, vcl, l, mid, id * 2));
        else return max(val, get(i, vcl, mid+1, r, id * 2 + 1));
    }

    int get(int i){
        int idx = lower_bound(ALL(X), i) - X.begin();
        return get(idx, i, 1, n, 1);
    }
};

const int N = 3e5 + 69, INF = 1e9 + 69;
vector<int> X, T;
vector<int> coin_slot[N];
vector<int> enter_home[N], exit_home[N];
int ans[N];

multiset<int> S[N];

void add(int type, int pos, SegmentTree &st){
    if (S[type].find(pos) != S[type].end()) {
        S[type].insert(pos);
        return;
    }
    int l = -1, r = -1;
    auto it = S[type].lower_bound(pos);
    if (it != S[type].end()){
        r = *it;
    }
    if (it != S[type].begin()){
        it--;
        l = *it;
    }

    if (l != -1 || r != -1) {
        if (l == -1){
            st.del(1, r, r);
        }
        else if (r == -1){
            st.del(l, INF, l);
        }
        else{
            int mid = (l + r) >> 1;
            st.del(l, mid, l);
            st.del(mid+1, r, r);
        }
    }

    if (l == -1){
        st.add(1, pos, pos);
    }
    else{
        int mid = (l + pos) >> 1;
        st.add(l, mid, l);
        st.add(mid+1, pos, pos);
    }

    if (r == -1){
        st.add(pos, INF, pos);
    }
    else{
        int mid = (pos + r) >> 1;
        st.add(pos, mid, pos);
        st.add(mid+1, r, r);
    }



    S[type].insert(pos);
}

void del(int type, int pos, SegmentTree &st){
    S[type].erase(S[type].find(pos));
    if (S[type].find(pos) != S[type].end()) {
        return;
    }

    int l = -1, r = -1;
    auto it = S[type].lower_bound(pos);
    if (it != S[type].end()){
        r = *it;
    }
    if (it != S[type].begin()){
        it--;
        l = *it;
    }

    if (l != -1 || r != -1) { // destroy existing bond
        if (l == -1){
            st.add(1, r, r);
        }
        else if (r == -1){
            st.add(l, INF, l);
        }
        else{
            int mid = (l + r) >> 1;
            st.add(l, mid, l);
            st.add(mid+1, r, r);
        }
    }
    if (l == -1){
        st.del(1, pos, pos);
    }
    else{
        int mid = (l + pos) >> 1;
        st.del(l, mid, l);
        st.del(mid+1, pos, pos);
    }

    if (r == -1){
        st.del(pos, INF, pos);
    }
    else{
        int mid = (pos + r) >> 1;
        st.del(pos, mid, pos);
        st.del(mid+1, r, r);
    }

}

void solve(){
    int n, k, q; cin >> n >> k >> q;

    vector<array<int, 4>> homes(n);
    for(int i= 0; i < n; ++i) {
        for(int j = 0; j < 4; ++j) cin >> homes[i][j];
    }

    vector<pair<int,int>> queries(q);
    for(int i = 0; i < q; ++i) cin >> queries[i].first >> queries[i].second;

    X.push_back(0); T.push_back(0);

    for(auto i: queries){
        X.push_back(i.first);
        T.push_back(i.second);
    }
    remove_dup(X); remove_dup(T);

    for(int i = 0; i < q; ++i){
        int t = lower_bound(ALL(T), queries[i].second) - T.begin();
        coin_slot[t].push_back(i);
    }
    for(int i = 0; i < n; ++i){
        int l = lower_bound(ALL(T), homes[i][2]) - T.begin();
        int r = upper_bound(ALL(T), homes[i][3]) - T.begin() - 1;
        if (l > r) continue;
        enter_home[l].push_back(i);
        exit_home[r].push_back(i);
    }

    int cnt = 0;

    int m = X.size() - 1;
    SegmentTree st(m, X);
    for(int it = 1; it < (int)T.size(); ++it){
        for(int i: enter_home[it]){
            int pos = homes[i][0], type = homes[i][1];
            if (S[type].empty()) cnt++;

            add(type, pos, st);
        }

        for(int i: coin_slot[it]){
            if (cnt < k) ans[i] = -1;
            else{
                ans[i] = st.get(queries[i].first);
            }
        }

        for(int i: exit_home[it]){
            int pos = homes[i][0], type = homes[i][1];
            del(type, pos, st);
            if (S[type].empty()) cnt--;
        }
    }

    for(int i = 0; i < q; ++i) cout << ans[i] << "\n";
}

int main(void){
    ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);

    clock_t start = clock();

    solve();

    cerr << "Time elapsed: " << clock() - start << "ms!\n";
    return 0;
}

• Subtask 1: 5 / 5
• Subtask 2: 7 / 7
• Subtask 3: 0 / 10
• Subtask 4: 0 / 23
• Subtask 5: 35 / 35
• Subtask 6: 0 / 20