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Submission #801560

# Submission time Handle Problem Language Result Execution time Memory
801560 2023-08-02T06:37:00 Z 이성호(#10091) IOI Fever (JOI21_fever) C++17
0 / 100
 27 ms 37936 KB 
#include <iostream>
#include <cassert>
#include <vector>
#include <set>
#include <algorithm>
#include <queue>
#include <functional>
#define all(v) (v).begin(), (v).end()
using namespace std;
struct Dot
{
    int x, y;
    Dot operator-(Dot d)
    {
        return {x - d.x, y - d.y};
    }
};
int N;
Dot dot[100005];
int dir[100005];
bool infect[100005];
int dis[100005];
Dot mv[4];
/*
int coll(int i, int j)
{
    if (dir[i] == dir[j]) return -1;
    Dot del = dot[j] - dot[i], ver = mv[dir[i]] - mv[dir[j]];
    if (ver.x < 0) {
        ver.x *= -1; del.x *= -1;
    }
    if (ver.y < 0) {
        ver.y *= -1; del.y *= -1;
    }
    if (del.x < 0 || del.y < 0) return -1;
    if (ver.y == 0) {
        if (del.y) return -1;
        return del.x * 2 / ver.x;
    }
    if (ver.x == 0) {
        if (del.x) return -1;
        return del.y * 2 / ver.y;
    }
    return del.y / ver.y == del.x / ver.x ? (2 * del.y / ver.y) : -1;
*/
const int inf = 1e9;
set<pair<int, int>> diag[2][100005][4];
int diagid[100005][2];
int main()
{
    ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    //freopen("sample-05-in.txt", "r", stdin);
    //freopen("output.txt", "w", stdout);
    mv[0] = {1, 0};
    mv[1] = {0, 1};
    mv[2] = {-1, 0};
    mv[3] = {0, -1};
    cin >> N;
    for (int i = 1; i <= N; i++) {
        cin >> dot[i].x >> dot[i].y;
        if (i >= 2) {
            dot[i].x -= dot[1].x;
            dot[i].y -= dot[1].y;
        }
    }
    dot[1] = {0, 0};
    int ans = 0;
    for (int k = 0; k < 4; k++) {
        for (int i = 2; i <= N; i++) {
            int tmp = dot[i].y;
            dot[i].y = dot[i].x;
            dot[i].x = -tmp;
        }
        dir[1] = 0;
        for (int i = 2; i <= N; i++) {
            if (dot[i].y < dot[i].x && -dot[i].x < dot[i].y) {
                dir[i] = 2;
            }
            else if (dot[i].y >= dot[i].x && dot[i].y > -dot[i].x) {
                dir[i] = 3;
            }
            else if (dot[i].y < dot[i].x && dot[i].y <= -dot[i].x) {
                dir[i] = 1;
            }
            else if (dot[i].y >= dot[i].x && dot[i].y <= -dot[i].x) {
                dir[i] = 0;
            }
            else {
                assert(0);
            }
        }
        vector<int> cpx1, cpx2;
        for (int i = 1; i <= N; i++) {
            cpx1.push_back(dot[i].y - dot[i].x);
            cpx2.push_back(dot[i].x + dot[i].y);
        }
        sort(all(cpx1));
        sort(all(cpx2));
        cpx1.erase(unique(all(cpx1)), cpx1.end());
        cpx2.erase(unique(all(cpx2)), cpx2.end());
        auto lb = [&](vector<int> &vc, int v)
        {
            return lower_bound(all(vc), v) - vc.begin();
        };
        for (int i = 0; i < 2; i++) {
            for (int j = 0; j < N; j++) {
                for (int k = 0; k < 4; k++) {
                    diag[i][j][k].clear();
                }
            }
        }
        for (int i = 1; i <= N; i++) {
            diagid[i][0] = lb(cpx1, dot[i].y-dot[i].x);
            diagid[i][1] = lb(cpx2, dot[i].y+dot[i].x);
            diag[0][diagid[i][0]][dir[i]].insert(make_pair(dot[i].x, i));
            diag[1][diagid[i][1]][dir[i]].insert(make_pair(dot[i].x, i));
        }
        fill(dis + 1, dis + N + 1, inf);
        dis[1] = 0;
        priority_queue<pair<int, int>> pq; pq.push(make_pair(0, 1));
        while (!pq.empty()) {
            int cur = pq.top().second, now = -pq.top().first;
            pq.pop();
            if (dis[cur] < now) continue;
            int id0 = diagid[cur][0], id1 = diagid[cur][1];
            if (dir[cur] == 0) {
                int least = dot[cur].x + (now + 1) / 2;
                auto it = diag[0][id0][3].lower_bound(make_pair(least, -1));
                while (it != diag[0][id0][3].end()) {
                    int nxt = (*it).second, tm = ((*it).first - dot[cur].x) * 2;
                    if (dis[nxt] > tm) {
                        dis[nxt] = tm;
                        pq.push(make_pair(-tm, nxt));
                    }
                    auto it2 = it++; diag[0][id0][3].erase(it2);
                }
                auto it3 = diag[1][id1][1].lower_bound(make_pair(least, -1));
                while (it3 != diag[1][id1][1].end()) {
                    int nxt = (*it3).second, tm = ((*it3).first - dot[cur].x) * 2;
                    if (dis[nxt] > tm) {
                        dis[nxt] = tm;
                        pq.push(make_pair(-tm, nxt));
                    }
                    auto it4 = it3++; diag[1][id1][1].erase(it4);
                }
            }
            else if (dir[cur] == 1) {
                int least = dot[cur].x + (now + 1) / 2;
                auto it = diag[0][id0][2].lower_bound(make_pair(least, -1));
                while (it != diag[0][id0][2].end()) {
                    int nxt = (*it).second, tm = ((*it).first - dot[cur].x) * 2;
                    if (dis[nxt] > tm) {
                        dis[nxt] = tm;
                        pq.push(make_pair(-tm, nxt));
                    }
                    auto it2 = it++; diag[0][id0][2].erase(it2);
                }
                int bound = dot[cur].x - (now + 1) / 2;
                auto it3 = diag[1][id1][0].lower_bound(make_pair(least+1, -1));
                if (it3 != diag[1][id1][0].begin()) {
                    --it3;
                    while (1) {
                        int nxt = (*it3).second, tm = (dot[cur].x - (*it3).first) * 2;
                        if (dis[nxt] > tm) {
                            dis[nxt] = tm;
                            pq.push(make_pair(-tm, nxt));
                        }
                        if (it3 == diag[1][id1][0].begin()) {
                            diag[1][id1][0].erase(diag[1][id1][0].begin());
                            break;
                        }
                        auto it4 = it3--; diag[1][id1][0].erase(it4);
                    }
                }
            }
            else if (dir[cur] == 2) {
                int bound = dot[cur].x - (now + 1) / 2; //bound 이하의 것들
                auto it = diag[0][id0][1].lower_bound(make_pair(bound+1, -1));
                if (it != diag[0][id0][1].begin()) {
                    --it;
                    while (1) {
                        int nxt = (*it).second, tm = (dot[cur].x - (*it).first) * 2;
                        if (dis[nxt] > tm) {
                            dis[nxt] = tm;
                            pq.push(make_pair(-tm, nxt));
                        }
                        if (it == diag[0][id0][1].begin()) {
                            diag[0][id0][1].erase(diag[0][id0][1].begin());
                            break;
                        }
                        auto it2 = it--; diag[0][id0][1].erase(it2);
                    }
                }
                auto it3 = diag[1][id1][3].lower_bound(make_pair(bound+1, -1));
                if (it3 != diag[1][id1][3].begin()) {
                    --it3;
                    while (1) {
                        int nxt = (*it3).second, tm = (dot[cur].x - (*it3).first) * 2;
                        if (dis[nxt] > tm) {
                            dis[nxt] = tm;
                            pq.push(make_pair(-tm, nxt));
                        }
                        if (it3 == diag[1][id1][3].begin()) {
                            diag[1][id1][3].erase(diag[1][id1][3].begin());
                            break;
                        }
                        auto it4 = it3--; diag[1][id1][3].erase(it4);
                    }
                }
            }
            else {
                int least = dot[cur].x + (now + 1) / 2;
                auto it = diag[1][id1][2].lower_bound(make_pair(least, -1));
                while (it != diag[1][id1][2].end()) {
                    int nxt = (*it).second, tm = ((*it).first - dot[cur].x) * 2;
                    if (dis[nxt] > tm) {
                        dis[nxt] = tm;
                        pq.push(make_pair(-tm, nxt));
                    }
                    auto it2 = it++; diag[1][id1][2].erase(it2);
                }
                int bound = dot[cur].x - (now + 1) / 2;
                auto it3 = diag[0][id0][0].lower_bound(make_pair(least+1, -1));
                if (it3 != diag[0][id0][0].begin()) {
                    --it3;
                    while (1) {
                        int nxt = (*it3).second, tm = (dot[cur].x - (*it3).first) * 2;
                        if (dis[nxt] > tm) {
                            dis[nxt] = tm;
                            pq.push(make_pair(-tm, nxt));
                        }
                        if (it3 == diag[0][id0][0].begin()) {
                            diag[0][id0][0].erase(diag[0][id0][0].begin());
                            break;
                        }
                        auto it4 = it3--; diag[0][id0][0].erase(it4);
                    }
                }
            }
        }
        int res = 0;
        for (int i = 1; i <= N; i++) res += (dis[i] != inf);
        ans = max(ans, res);
    }
    cout << ans << '\n';
}

Compilation message

fever.cpp: In function 'int main()':
fever.cpp:158:21: warning: unused variable 'bound' [-Wunused-variable]
  158 |                 int bound = dot[cur].x - (now + 1) / 2;
      |                     ^~~~~
fever.cpp:222:21: warning: unused variable 'bound' [-Wunused-variable]
  222 |                 int bound = dot[cur].x - (now + 1) / 2;
      |                     ^~~~~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37844 KB Output is correct
2 Correct 18 ms 37844 KB Output is correct
3 Correct 19 ms 37852 KB Output is correct
4 Correct 19 ms 37920 KB Output is correct
5 Correct 19 ms 37888 KB Output is correct
6 Correct 18 ms 37844 KB Output is correct
7 Correct 27 ms 37844 KB Output is correct
8 Correct 19 ms 37844 KB Output is correct
9 Correct 19 ms 37844 KB Output is correct
10 Correct 19 ms 37868 KB Output is correct
11 Correct 19 ms 37840 KB Output is correct
12 Correct 18 ms 37804 KB Output is correct
13 Correct 20 ms 37804 KB Output is correct
14 Correct 19 ms 37892 KB Output is correct
15 Correct 20 ms 37924 KB Output is correct
16 Correct 18 ms 37912 KB Output is correct
17 Correct 23 ms 37876 KB Output is correct
18 Correct 18 ms 37824 KB Output is correct
19 Correct 19 ms 37868 KB Output is correct
20 Correct 18 ms 37904 KB Output is correct
21 Correct 18 ms 37852 KB Output is correct
22 Correct 18 ms 37920 KB Output is correct
23 Correct 20 ms 37896 KB Output is correct
24 Correct 18 ms 37864 KB Output is correct
25 Correct 18 ms 37912 KB Output is correct
26 Correct 22 ms 37792 KB Output is correct
27 Correct 18 ms 37880 KB Output is correct
28 Correct 19 ms 37872 KB Output is correct
29 Correct 17 ms 37844 KB Output is correct
30 Incorrect 18 ms 37844 KB Output isn't correct
31 Halted 0 ms 0 KB -

Subtask #2
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37844 KB Output is correct
2 Correct 18 ms 37844 KB Output is correct
3 Correct 19 ms 37852 KB Output is correct
4 Correct 19 ms 37920 KB Output is correct
5 Correct 19 ms 37888 KB Output is correct
6 Correct 18 ms 37844 KB Output is correct
7 Correct 27 ms 37844 KB Output is correct
8 Correct 19 ms 37844 KB Output is correct
9 Correct 19 ms 37844 KB Output is correct
10 Correct 19 ms 37868 KB Output is correct
11 Correct 19 ms 37840 KB Output is correct
12 Correct 18 ms 37804 KB Output is correct
13 Correct 20 ms 37804 KB Output is correct
14 Correct 19 ms 37892 KB Output is correct
15 Correct 20 ms 37924 KB Output is correct
16 Correct 18 ms 37912 KB Output is correct
17 Correct 23 ms 37876 KB Output is correct
18 Correct 18 ms 37824 KB Output is correct
19 Correct 19 ms 37868 KB Output is correct
20 Correct 18 ms 37904 KB Output is correct
21 Correct 18 ms 37852 KB Output is correct
22 Correct 18 ms 37920 KB Output is correct
23 Correct 20 ms 37896 KB Output is correct
24 Correct 18 ms 37864 KB Output is correct
25 Correct 18 ms 37912 KB Output is correct
26 Correct 22 ms 37792 KB Output is correct
27 Correct 18 ms 37880 KB Output is correct
28 Correct 19 ms 37872 KB Output is correct
29 Correct 17 ms 37844 KB Output is correct
30 Incorrect 18 ms 37844 KB Output isn't correct
31 Halted 0 ms 0 KB -

Subtask #3
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37844 KB Output is correct
2 Correct 20 ms 37896 KB Output is correct
3 Correct 17 ms 37892 KB Output is correct
4 Correct 19 ms 37904 KB Output is correct
5 Correct 18 ms 37884 KB Output is correct
6 Correct 19 ms 37936 KB Output is correct
7 Correct 19 ms 37840 KB Output is correct
8 Incorrect 19 ms 37908 KB Output isn't correct
9 Halted 0 ms 0 KB -

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37844 KB Output is correct
2 Correct 18 ms 37844 KB Output is correct
3 Correct 19 ms 37852 KB Output is correct
4 Correct 19 ms 37920 KB Output is correct
5 Correct 19 ms 37888 KB Output is correct
6 Correct 18 ms 37844 KB Output is correct
7 Correct 27 ms 37844 KB Output is correct
8 Correct 19 ms 37844 KB Output is correct
9 Correct 19 ms 37844 KB Output is correct
10 Correct 19 ms 37868 KB Output is correct
11 Correct 19 ms 37840 KB Output is correct
12 Correct 18 ms 37804 KB Output is correct
13 Correct 20 ms 37804 KB Output is correct
14 Correct 19 ms 37892 KB Output is correct
15 Correct 20 ms 37924 KB Output is correct
16 Correct 18 ms 37912 KB Output is correct
17 Correct 23 ms 37876 KB Output is correct
18 Correct 18 ms 37824 KB Output is correct
19 Correct 19 ms 37868 KB Output is correct
20 Correct 18 ms 37904 KB Output is correct
21 Correct 18 ms 37852 KB Output is correct
22 Correct 18 ms 37920 KB Output is correct
23 Correct 20 ms 37896 KB Output is correct
24 Correct 18 ms 37864 KB Output is correct
25 Correct 18 ms 37912 KB Output is correct
26 Correct 22 ms 37792 KB Output is correct
27 Correct 18 ms 37880 KB Output is correct
28 Correct 19 ms 37872 KB Output is correct
29 Correct 17 ms 37844 KB Output is correct
30 Incorrect 18 ms 37844 KB Output isn't correct
31 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37844 KB Output is correct
2 Correct 18 ms 37844 KB Output is correct
3 Correct 19 ms 37852 KB Output is correct
4 Correct 19 ms 37920 KB Output is correct
5 Correct 19 ms 37888 KB Output is correct
6 Correct 18 ms 37844 KB Output is correct
7 Correct 27 ms 37844 KB Output is correct
8 Correct 19 ms 37844 KB Output is correct
9 Correct 19 ms 37844 KB Output is correct
10 Correct 19 ms 37868 KB Output is correct
11 Correct 19 ms 37840 KB Output is correct
12 Correct 18 ms 37804 KB Output is correct
13 Correct 20 ms 37804 KB Output is correct
14 Correct 19 ms 37892 KB Output is correct
15 Correct 20 ms 37924 KB Output is correct
16 Correct 18 ms 37912 KB Output is correct
17 Correct 23 ms 37876 KB Output is correct
18 Correct 18 ms 37824 KB Output is correct
19 Correct 19 ms 37868 KB Output is correct
20 Correct 18 ms 37904 KB Output is correct
21 Correct 18 ms 37852 KB Output is correct
22 Correct 18 ms 37920 KB Output is correct
23 Correct 20 ms 37896 KB Output is correct
24 Correct 18 ms 37864 KB Output is correct
25 Correct 18 ms 37912 KB Output is correct
26 Correct 22 ms 37792 KB Output is correct
27 Correct 18 ms 37880 KB Output is correct
28 Correct 19 ms 37872 KB Output is correct
29 Correct 17 ms 37844 KB Output is correct
30 Incorrect 18 ms 37844 KB Output isn't correct
31 Halted 0 ms 0 KB -

Subtask #6
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37844 KB Output is correct
2 Correct 18 ms 37844 KB Output is correct
3 Correct 19 ms 37852 KB Output is correct
4 Correct 19 ms 37920 KB Output is correct
5 Correct 19 ms 37888 KB Output is correct
6 Correct 18 ms 37844 KB Output is correct
7 Correct 27 ms 37844 KB Output is correct
8 Correct 19 ms 37844 KB Output is correct
9 Correct 19 ms 37844 KB Output is correct
10 Correct 19 ms 37868 KB Output is correct
11 Correct 19 ms 37840 KB Output is correct
12 Correct 18 ms 37804 KB Output is correct
13 Correct 20 ms 37804 KB Output is correct
14 Correct 19 ms 37892 KB Output is correct
15 Correct 20 ms 37924 KB Output is correct
16 Correct 18 ms 37912 KB Output is correct
17 Correct 23 ms 37876 KB Output is correct
18 Correct 18 ms 37824 KB Output is correct
19 Correct 19 ms 37868 KB Output is correct
20 Correct 18 ms 37904 KB Output is correct
21 Correct 18 ms 37852 KB Output is correct
22 Correct 18 ms 37920 KB Output is correct
23 Correct 20 ms 37896 KB Output is correct
24 Correct 18 ms 37864 KB Output is correct
25 Correct 18 ms 37912 KB Output is correct
26 Correct 22 ms 37792 KB Output is correct
27 Correct 18 ms 37880 KB Output is correct
28 Correct 19 ms 37872 KB Output is correct
29 Correct 17 ms 37844 KB Output is correct
30 Incorrect 18 ms 37844 KB Output isn't correct
31 Halted 0 ms 0 KB -

Subtask #7
0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 37844 KB Output is correct
2 Correct 18 ms 37844 KB Output is correct
3 Correct 19 ms 37852 KB Output is correct
4 Correct 19 ms 37920 KB Output is correct
5 Correct 19 ms 37888 KB Output is correct
6 Correct 18 ms 37844 KB Output is correct
7 Correct 27 ms 37844 KB Output is correct
8 Correct 19 ms 37844 KB Output is correct
9 Correct 19 ms 37844 KB Output is correct
10 Correct 19 ms 37868 KB Output is correct
11 Correct 19 ms 37840 KB Output is correct
12 Correct 18 ms 37804 KB Output is correct
13 Correct 20 ms 37804 KB Output is correct
14 Correct 19 ms 37892 KB Output is correct
15 Correct 20 ms 37924 KB Output is correct
16 Correct 18 ms 37912 KB Output is correct
17 Correct 23 ms 37876 KB Output is correct
18 Correct 18 ms 37824 KB Output is correct
19 Correct 19 ms 37868 KB Output is correct
20 Correct 18 ms 37904 KB Output is correct
21 Correct 18 ms 37852 KB Output is correct
22 Correct 18 ms 37920 KB Output is correct
23 Correct 20 ms 37896 KB Output is correct
24 Correct 18 ms 37864 KB Output is correct
25 Correct 18 ms 37912 KB Output is correct
26 Correct 22 ms 37792 KB Output is correct
27 Correct 18 ms 37880 KB Output is correct
28 Correct 19 ms 37872 KB Output is correct
29 Correct 17 ms 37844 KB Output is correct
30 Incorrect 18 ms 37844 KB Output isn't correct
31 Halted 0 ms 0 KB -