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Submission #1045847

# Submission time Handle Problem Language Result Execution time Memory
1045847 2024-08-06T08:04:52 Z vjudge1 Road Construction (JOI21_road_construction) C++17
100 / 100
 951 ms 10144 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX             250005
int N, K;

pair<int, int> A[MAX];

int ans[MAX];
void process(void){
    cin >> N >> K;
    for (int i = 1; i <= N; ++i){
        int x, y; cin >> x >> y;
        A[i] = make_pair(x + y, x - y);
    }
    sort(A + 1, A + N + 1);
    /*
        After rotating the plane by 45 degree, the Manhattan distance becomes Chebyshev distance instead
        Chebyshev between two point A(x1, y1) and B(x2, y2) is max(|x2 - x1|, |y2 - y1|)
    */

    auto check = [&](int x) -> bool{
        multiset<int> mySet;

        int j = 1, cnt = 0;
        for (int i = 1; i <= N; ++i){
            while (A[i].first - A[j].first > x){
                mySet.erase(mySet.find(A[j].second));
                ++j;
            }

            auto it = mySet.lower_bound(A[i].second - x);
            for (; it != mySet.end(); ++it){
                if ((*it) > A[i].second + x) break;
                ++cnt;
                if (cnt > K) return false;
            }
            mySet.insert(A[i].second);
        }
        return true;
    };
    int l = -1, r = 4e9 + 1;
    while (r - l > 1){
        int m = (l + r) >> 1;
        if(check(m)) l = m;
        else r = m;
    }

    multiset<pair<int, int>> mySet;
    int j = 1;

    vector<int> res;

    for (int i = 1; i <= N; ++i){
        while (j <= N && A[i].first - A[j].first > l) {
            mySet.erase(mySet.find(make_pair(A[j].second, A[j].first)));
            ++j;
        }
        auto it = mySet.lower_bound(make_pair(A[i].second - l, -INF));
        for (; it != mySet.end(); ++it){
            if ((*it).first > A[i].second + l) break;

            int dis = max(abs(A[i].first - (*it).second), abs(A[i].second - (*it).first));
            res.emplace_back(dis);
            assert((int)res.size() <= K);
        }
        mySet.insert(make_pair(A[i].second, A[i].first));
    }

    sort(res.begin(), res.end());
    for  (auto&i : res) cout << i << "\n";
    for (int i = 0; i < K - (int)res.size(); ++i) cout << l + 1 << "\n";
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 7196 KB Output is correct
2 Correct 57 ms 7024 KB Output is correct
3 Correct 52 ms 7116 KB Output is correct
4 Correct 51 ms 7208 KB Output is correct
5 Correct 53 ms 6100 KB Output is correct
6 Correct 2 ms 2396 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 174 ms 9372 KB Output is correct
2 Correct 174 ms 9308 KB Output is correct
3 Correct 48 ms 7124 KB Output is correct
4 Correct 184 ms 9112 KB Output is correct
5 Correct 131 ms 9300 KB Output is correct
6 Correct 126 ms 9428 KB Output is correct
7 Correct 125 ms 8604 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 156 ms 5980 KB Output is correct
2 Correct 156 ms 6140 KB Output is correct
3 Correct 0 ms 2392 KB Output is correct
4 Correct 68 ms 6136 KB Output is correct
5 Correct 175 ms 5972 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 156 ms 5980 KB Output is correct
2 Correct 156 ms 6140 KB Output is correct
3 Correct 0 ms 2392 KB Output is correct
4 Correct 68 ms 6136 KB Output is correct
5 Correct 175 ms 5972 KB Output is correct
6 Correct 210 ms 5976 KB Output is correct
7 Correct 201 ms 5980 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 175 ms 6104 KB Output is correct
11 Correct 69 ms 6140 KB Output is correct
12 Correct 169 ms 5968 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 7196 KB Output is correct
2 Correct 57 ms 7024 KB Output is correct
3 Correct 52 ms 7116 KB Output is correct
4 Correct 51 ms 7208 KB Output is correct
5 Correct 53 ms 6100 KB Output is correct
6 Correct 2 ms 2396 KB Output is correct
7 Correct 451 ms 8660 KB Output is correct
8 Correct 457 ms 8648 KB Output is correct
9 Correct 50 ms 7124 KB Output is correct
10 Correct 245 ms 7812 KB Output is correct
11 Correct 158 ms 7800 KB Output is correct
12 Correct 150 ms 6480 KB Output is correct
13 Correct 174 ms 7124 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 7196 KB Output is correct
2 Correct 57 ms 7024 KB Output is correct
3 Correct 52 ms 7116 KB Output is correct
4 Correct 51 ms 7208 KB Output is correct
5 Correct 53 ms 6100 KB Output is correct
6 Correct 2 ms 2396 KB Output is correct
7 Correct 174 ms 9372 KB Output is correct
8 Correct 174 ms 9308 KB Output is correct
9 Correct 48 ms 7124 KB Output is correct
10 Correct 184 ms 9112 KB Output is correct
11 Correct 131 ms 9300 KB Output is correct
12 Correct 126 ms 9428 KB Output is correct
13 Correct 125 ms 8604 KB Output is correct
14 Correct 156 ms 5980 KB Output is correct
15 Correct 156 ms 6140 KB Output is correct
16 Correct 0 ms 2392 KB Output is correct
17 Correct 68 ms 6136 KB Output is correct
18 Correct 175 ms 5972 KB Output is correct
19 Correct 210 ms 5976 KB Output is correct
20 Correct 201 ms 5980 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 0 ms 2396 KB Output is correct
23 Correct 175 ms 6104 KB Output is correct
24 Correct 69 ms 6140 KB Output is correct
25 Correct 169 ms 5968 KB Output is correct
26 Correct 451 ms 8660 KB Output is correct
27 Correct 457 ms 8648 KB Output is correct
28 Correct 50 ms 7124 KB Output is correct
29 Correct 245 ms 7812 KB Output is correct
30 Correct 158 ms 7800 KB Output is correct
31 Correct 150 ms 6480 KB Output is correct
32 Correct 174 ms 7124 KB Output is correct
33 Correct 951 ms 10140 KB Output is correct
34 Correct 939 ms 10144 KB Output is correct
35 Correct 657 ms 9376 KB Output is correct
36 Correct 261 ms 8016 KB Output is correct
37 Correct 283 ms 8340 KB Output is correct
38 Correct 305 ms 8664 KB Output is correct