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Submission #864638

# Submission time Handle Problem Language Result Execution time Memory
864638 2023-10-23T11:07:20 Z danikoynov Circle selection (APIO18_circle_selection) C++14
7 / 100
 112 ms 780 KB 
#include<bits/stdc++.h>

using namespace std;
typedef long long ll;

struct point
{
    ll x, y;
};

struct circle
{
    point centre;
    ll radius;
};

const int maxn = 5010;

int n;
circle c[maxn];

void input()
{
    cin >> n;
    for (int i = 1; i <= n; i ++)
        cin >> c[i].centre.x >> c[i].centre.y >> c[i].radius;
}

int used[maxn], par[maxn];

int find_biggest()
{
    int idx = -1;
    for (int i = 1; i <= n; i ++)
    {
        if (used[i])
            continue;
        if (idx == -1 || c[i].radius > c[idx].radius)
            idx = i;
    }

    return idx;
}

ll distance(point A, point B)
{
    ll dx = (A.x - B.x);
    ll dy = (A.y - B.y);

    return dx * dx + dy * dy;
}
void simulate()
{
    while(true)
    {
        int idx = find_biggest();
        if (idx == -1)
            break;
        ///cout << "current " << idx << endl;
        for (int i = 1; i <= n; i ++)
        {
            if (used[i] == 1)
                continue;
            
            if (distance(c[idx].centre, c[i].centre) <=
                 (c[idx].radius + c[i].radius) * (c[idx].radius + c[i].radius))
                used[i] = 1, par[i] = idx;
        }
        
    }
}


void print()
{
    for (int i = 1; i <= n; i ++)
        cout << par[i] << " ";
    cout << endl;
}


void solve_subtask_2()
{
    set < pair < int, int > > lf, rf;
    set < pair < int, int > > act;

    for (int i = 1; i <= n; i ++)
    {
        lf.insert(make_pair(c[i].centre.x - c[i].radius, i));
        rf.insert(make_pair(c[i].centre.x + c[i].radius, i));
        act.insert(make_pair(c[i].radius, i));
    }
    
    while(!act.empty())
    {
        int idx = act.begin() -> second;
        int left = c[idx].centre.x - c[idx].radius;
        int right = c[idx].centre.x + c[idx].radius;

        while(true)
        {
            set < pair < int, int > > :: iterator it = lf.lower_bound({left, -1});
            if (it -> first <= right)
            {
                int i = it -> second;
                par[i] = idx;
                lf.erase(make_pair(c[i].centre.x - c[i].radius, i));
                rf.erase(make_pair(c[i].centre.x + c[i].radius, i));
                act.erase(make_pair(c[i].radius, i));
            }
            else
            {
                break;
            }
        }


        while(true)
        {
            set < pair < int, int > > :: iterator it = rf.lower_bound({left, -1});
            if (it -> first <= right)
            {
                int i = it -> second;
                par[i] = idx;
                lf.erase(make_pair(c[i].centre.x - c[i].radius, i));
                rf.erase(make_pair(c[i].centre.x + c[i].radius, i));
                act.erase(make_pair(c[i].radius, i));
            }
            else
            {
                break;
            }
        }
    }

}
void solve()
{
    input();
    bool all_on_x = true;
    for (int i = 1; i <= n; i ++)
    {
        if (c[i].centre.y != 0)
            all_on_x = false;
    }
    if (all_on_x)
        solve_subtask_2();
    else
        simulate();
    print();
}
int main()
{
    solve();
    return 0;
}

/**
11
9 9 2
13 2 1
11 8 2
3 3 2
3 12 1
12 14 1
9 8 5
2 8 2
5 2 1
14 4 2
14 14 1

*/

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 5 ms 448 KB Output is correct
20 Correct 5 ms 600 KB Output is correct
21 Correct 5 ms 600 KB Output is correct
22 Correct 110 ms 348 KB Output is correct
23 Correct 112 ms 600 KB Output is correct
24 Correct 110 ms 576 KB Output is correct
25 Correct 110 ms 344 KB Output is correct
26 Correct 109 ms 564 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Runtime error 5 ms 600 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Runtime error 5 ms 780 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 5 ms 600 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 5 ms 448 KB Output is correct
20 Correct 5 ms 600 KB Output is correct
21 Correct 5 ms 600 KB Output is correct
22 Correct 110 ms 348 KB Output is correct
23 Correct 112 ms 600 KB Output is correct
24 Correct 110 ms 576 KB Output is correct
25 Correct 110 ms 344 KB Output is correct
26 Correct 109 ms 564 KB Output is correct
27 Runtime error 5 ms 600 KB Execution killed with signal 11
28 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 5 ms 448 KB Output is correct
20 Correct 5 ms 600 KB Output is correct
21 Correct 5 ms 600 KB Output is correct
22 Correct 110 ms 348 KB Output is correct
23 Correct 112 ms 600 KB Output is correct
24 Correct 110 ms 576 KB Output is correct
25 Correct 110 ms 344 KB Output is correct
26 Correct 109 ms 564 KB Output is correct
27 Runtime error 5 ms 600 KB Execution killed with signal 11
28 Halted 0 ms 0 KB -