oj.uz

Submission #387048

# Submission time Handle Problem Language Result Execution time Memory
387048 2021-04-07T21:30:54 Z keko37 Road Construction (JOI21_road_construction) C++14
100 / 100
 8023 ms 52704 KB 
#include<bits/stdc++.h>

using namespace std;

typedef long long llint;
typedef pair <int, int> pi;

const int MAXN = 250005;
const int LOG = 18;

llint n, k;
llint x[MAXN], y[MAXN], sx[MAXN], sy[MAXN], fen[MAXN], ind[MAXN];
vector <llint> sazx, sazy, vx[MAXN], vy[MAXN], sol;

void ubaci (llint x, llint k) {
    for (x++; x < MAXN; x += x&-x) fen[x] += k;
}

llint upit (llint x) {
    llint res = 0;
    for (x++; x > 0; x -= x&-x) res += fen[x];
    return res;
}

llint kth (llint br) {
    llint pos = 0;
    for (int i = LOG - 1; i >= 0; i--) {
        if (pos + (1 << i) < MAXN && br > fen[pos + (1 << i)]) {
            pos += 1 << i;
            br -= fen[pos];
        }
    }
    return pos;
}

bool cmp (int i, int j) {
    return y[i] < y[j];
}

void sazmi () {
    for (int i = 1; i <= n; i++) {
        sazx.push_back(x[i]);
        sazy.push_back(y[i]);
    }
    sort(sazx.begin(), sazx.end());
    sort(sazy.begin(), sazy.end());
    sazx.erase(unique(sazx.begin(), sazx.end()), sazx.end());
    sazy.erase(unique(sazy.begin(), sazy.end()), sazy.end());
    for (int i = 1; i <= n; i++) {
        sx[i] = lower_bound(sazx.begin(), sazx.end(), x[i]) - sazx.begin();
        sy[i] = lower_bound(sazy.begin(), sazy.end(), y[i]) - sazy.begin();
        vx[sx[i]].push_back(i);
    }
    for (int i = 0; i < sazx.size(); i++) {
        sort(vx[i].begin(), vx[i].end(), cmp);
        for (auto j : vx[i]) {
            vy[sy[j]].push_back(j);
        }
    }
}

llint get_dist (int i, int j) {
    return max(abs(x[i] - x[j]), abs(y[i] - y[j]));
}

llint calc (llint len, bool flg) {
    llint res = 0;
    int p = 0;
    for (int i = 0; i < sazy.size(); i++) {
        ind[i] = 0;
    }
    for (int i = 0; i < sazx.size(); i++) {
        while (p < i && sazx[i] - sazx[p] > len) {
            for (auto j : vx[p]) {
                ubaci(sy[j], -1);
                ind[sy[j]]++;
            }
            p++;
        }
        for (auto j : vx[i]) {
            llint lo = lower_bound(sazy.begin(), sazy.end(), y[j] - len) - sazy.begin();
            llint hi = upper_bound(sazy.begin(), sazy.end(), y[j] + len) - sazy.begin() - 1;
            llint br_lo = upit(lo - 1);
            llint br_hi = upit(hi);
            res += br_hi - br_lo;
            if (flg == 1) {
                vector <llint> tmp;
                for (llint br = br_lo + 1; br <= br_hi; br++) {
                    tmp.push_back(kth(br));
                }
                tmp.erase(unique(tmp.begin(), tmp.end()), tmp.end());
                for (auto h : tmp) {
                    for (int br = ind[h]; br < vy[h].size(); br++) {
                        int sus = vy[h][br];
                        if (x[sus] > x[j] || x[sus] == x[j] && y[sus] >= y[j]) break;
                        sol.push_back(get_dist(j, sus));
                    }
                }
            }
            ubaci(sy[j], 1);
        }
    }
    while (p < sazx.size()) {
        for (auto j : vx[p]) {
            ubaci(sy[j], -1);
        }
        p++;
    }
    return res;
}

llint get_len () {
    llint lo = 1, hi = 4e9 + 5;
    while (lo < hi) {
        llint mid = (lo + hi) / 2;
        if (calc(mid, 0) >= k) {
            hi = mid;
        } else {
            lo = mid + 1;
        }
    }
    return lo;
}

int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    //mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
    cin >> n >> k;
    //n = 250000; k = 250000;
    for (int i = 1; i <= n; i++) {
        cin >> x[i] >> y[i];
        //x[i] = uniform_int_distribution<int>(-1e9, 1e9)(rng);
        //y[i] = uniform_int_distribution<int>(-1e9, 1e9)(rng);
        int nx = x[i] - y[i];
        int ny = x[i] + y[i];
        x[i] = nx; y[i] = ny;
        //cout << "bla " << nx << " " << ny << endl;
    }
    sazmi();
    llint len = get_len();
    calc(len - 1, 1);
    sort(sol.begin(), sol.end());
    while (sol.size() < k) sol.push_back(len);
    for (auto x : sol) cout << x << '\n';
    return 0;
}

Compilation message

road_construction.cpp: In function 'void sazmi()':
road_construction.cpp:54:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   54 |     for (int i = 0; i < sazx.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
road_construction.cpp: In function 'llint calc(llint, bool)':
road_construction.cpp:69:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |     for (int i = 0; i < sazy.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
road_construction.cpp:72:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |     for (int i = 0; i < sazx.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
road_construction.cpp:93:46: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |                     for (int br = ind[h]; br < vy[h].size(); br++) {
      |                                           ~~~^~~~~~~~~~~~~~
road_construction.cpp:95:61: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   95 |                         if (x[sus] > x[j] || x[sus] == x[j] && y[sus] >= y[j]) break;
      |                                              ~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~
road_construction.cpp:103:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  103 |     while (p < sazx.size()) {
      |            ~~^~~~~~~~~~~~~
road_construction.cpp: In function 'int main()':
road_construction.cpp:144:23: warning: comparison of integer expressions of different signedness: 'std::vector<long long int>::size_type' {aka 'long unsigned int'} and 'llint' {aka 'long long int'} [-Wsign-compare]
  144 |     while (sol.size() < k) sol.push_back(len);
      |            ~~~~~~~~~~~^~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 17136 KB Output is correct
2 Correct 82 ms 16988 KB Output is correct
3 Correct 77 ms 17244 KB Output is correct
4 Correct 86 ms 17116 KB Output is correct
5 Correct 81 ms 15912 KB Output is correct
6 Correct 13 ms 12268 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4556 ms 47812 KB Output is correct
2 Correct 4515 ms 47856 KB Output is correct
3 Correct 70 ms 16860 KB Output is correct
4 Correct 4318 ms 47680 KB Output is correct
5 Correct 4543 ms 47812 KB Output is correct
6 Correct 4438 ms 47976 KB Output is correct
7 Correct 4450 ms 47572 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 7659 ms 44528 KB Output is correct
2 Correct 7625 ms 44496 KB Output is correct
3 Correct 10 ms 12140 KB Output is correct
4 Correct 4329 ms 44624 KB Output is correct
5 Correct 2235 ms 30440 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 7659 ms 44528 KB Output is correct
2 Correct 7625 ms 44496 KB Output is correct
3 Correct 10 ms 12140 KB Output is correct
4 Correct 4329 ms 44624 KB Output is correct
5 Correct 2235 ms 30440 KB Output is correct
6 Correct 7536 ms 44520 KB Output is correct
7 Correct 7491 ms 44532 KB Output is correct
8 Correct 9 ms 12140 KB Output is correct
9 Correct 9 ms 12140 KB Output is correct
10 Correct 7146 ms 47184 KB Output is correct
11 Correct 4213 ms 46396 KB Output is correct
12 Correct 2149 ms 34880 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 17136 KB Output is correct
2 Correct 82 ms 16988 KB Output is correct
3 Correct 77 ms 17244 KB Output is correct
4 Correct 86 ms 17116 KB Output is correct
5 Correct 81 ms 15912 KB Output is correct
6 Correct 13 ms 12268 KB Output is correct
7 Correct 2496 ms 30872 KB Output is correct
8 Correct 2463 ms 30860 KB Output is correct
9 Correct 77 ms 17116 KB Output is correct
10 Correct 2140 ms 29148 KB Output is correct
11 Correct 2017 ms 28628 KB Output is correct
12 Correct 638 ms 25740 KB Output is correct
13 Correct 709 ms 24016 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 82 ms 17136 KB Output is correct
2 Correct 82 ms 16988 KB Output is correct
3 Correct 77 ms 17244 KB Output is correct
4 Correct 86 ms 17116 KB Output is correct
5 Correct 81 ms 15912 KB Output is correct
6 Correct 13 ms 12268 KB Output is correct
7 Correct 4556 ms 47812 KB Output is correct
8 Correct 4515 ms 47856 KB Output is correct
9 Correct 70 ms 16860 KB Output is correct
10 Correct 4318 ms 47680 KB Output is correct
11 Correct 4543 ms 47812 KB Output is correct
12 Correct 4438 ms 47976 KB Output is correct
13 Correct 4450 ms 47572 KB Output is correct
14 Correct 7659 ms 44528 KB Output is correct
15 Correct 7625 ms 44496 KB Output is correct
16 Correct 10 ms 12140 KB Output is correct
17 Correct 4329 ms 44624 KB Output is correct
18 Correct 2235 ms 30440 KB Output is correct
19 Correct 7536 ms 44520 KB Output is correct
20 Correct 7491 ms 44532 KB Output is correct
21 Correct 9 ms 12140 KB Output is correct
22 Correct 9 ms 12140 KB Output is correct
23 Correct 7146 ms 47184 KB Output is correct
24 Correct 4213 ms 46396 KB Output is correct
25 Correct 2149 ms 34880 KB Output is correct
26 Correct 2496 ms 30872 KB Output is correct
27 Correct 2463 ms 30860 KB Output is correct
28 Correct 77 ms 17116 KB Output is correct
29 Correct 2140 ms 29148 KB Output is correct
30 Correct 2017 ms 28628 KB Output is correct
31 Correct 638 ms 25740 KB Output is correct
32 Correct 709 ms 24016 KB Output is correct
33 Correct 8023 ms 52704 KB Output is correct
34 Correct 8002 ms 52644 KB Output is correct
35 Correct 6480 ms 47448 KB Output is correct
36 Correct 1779 ms 37464 KB Output is correct
37 Correct 1821 ms 37404 KB Output is correct
38 Correct 2093 ms 38608 KB Output is correct