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Submission #499281

# Submission time Handle Problem Language Result Execution time Memory
499281 2021-12-27T18:43:46 Z _martynas Circle selection (APIO18_circle_selection) C++11
49 / 100
 1258 ms 983804 KB 
#pragma GCC optimize("O3,inline")
#include <bits/stdc++.h>

using namespace std;
using namespace std::chrono;

using ll = long long;

const ll MOD = 1e9+7;

const int MAX_N = 3e5+5;

int n;
struct Node
{
    ll x, y, r;
    int p;
    bool visited;
} A[MAX_N];

struct LLNode
{
    int idx;
    LLNode* next = nullptr;

    inline LLNode()
    {
    }

    inline LLNode(const int & val)
        : idx(val)
    {
    }
} LLNodes[MAX_N];
int llcounter = 0;

inline LLNode* getLLNode()
{
    return &LLNodes[llcounter++];
}

int dup;

struct Quad;
inline Quad* getQuadNode();

struct Quad
{
    ll l, r, bot, top;
    array<Quad*, 4> childs = {};
    LLNode* llnode = nullptr;
    int sz;

    inline Quad()
    {
    }

    inline Quad(const ll & _l, const ll & _r, const ll & _bot, const ll & _top)
        : l(_l), r(_r), bot(_bot), top(_top)
    {
        sz = 0;
    }

    void add(const ll & x, const ll & y, const int & idx)
    {
        if(x < l || x > r || y < bot || y > top) {
            return;
        }

        sz++;
//        cerr << "l = " << l << ", r = " << r << ", "
//             << "bot = " << bot << ", top = " << top << "\n";
        if(l == r && bot == top) {
            if(llnode == nullptr) {
                llnode = getLLNode();
                llnode->idx = idx;
            }
            else {
                //dup++;
                LLNode* temp = getLLNode();
                temp->idx = idx;
                temp->next = llnode;
                llnode = temp;
            }
        }
        else {
            ll midH, midV;
            midH = l+(r-l)/2;
            midV = bot+(top-bot)/2;

            if(l != r && top != bot) {
                if(childs[0] == nullptr && !(x < l || x > midH || y < bot || y > midV)) {
                    childs[0] = getQuadNode();
                    childs[0]->l = l;
                    childs[0]->r = midH;
                    childs[0]->bot = bot;
                    childs[0]->top = midV;
                }
                else if(childs[1] == nullptr && !(x < midH+1 || x > r || y < bot || y > midV)) {
                    childs[1] = getQuadNode();
                    childs[1]->l = midH+1;
                    childs[1]->r = r;
                    childs[1]->bot = bot;
                    childs[1]->top = midV;
                }
                else if(childs[2] == nullptr && !(x < l || x > midH || y < midV+1 || y > top)) {
                    childs[2] = getQuadNode();
                    childs[2]->l = l;
                    childs[2]->r = midH;
                    childs[2]->bot = midV+1;
                    childs[2]->top = top;
                }
                else if(childs[3] == nullptr && !(x < midH+1 || x > r || y < midV+1 || y > top)) {
                    childs[3] = getQuadNode();
                    childs[3]->l = midH+1;
                    childs[3]->r = r;
                    childs[3]->bot = midV+1;
                    childs[3]->top = top;
                }
            }
            else if(l != r) {
                if(childs[0] == nullptr && !(x < l || x > midH || y < bot || y > top)) {
                    childs[0] = getQuadNode();
                    childs[0]->l = l;
                    childs[0]->r = midH;
                    childs[0]->bot = bot;
                    childs[0]->top = top;
                }
                else if(childs[1] == nullptr && !(x < midH+1 || x > r || y < bot || y > top)) {
                    childs[1] = getQuadNode();
                    childs[1]->l = midH+1;
                    childs[1]->r = r;
                    childs[1]->bot = bot;
                    childs[1]->top = top;
                }
            }
            else if(top != bot) {
                if(childs[0] == nullptr && !(x < l || x > r || y < bot || y > midV)) {
                    childs[0] = getQuadNode();
                    childs[0]->l = l;
                    childs[0]->r = r;
                    childs[0]->bot = bot;
                    childs[0]->top = midV;
                }
                else if(childs[1] == nullptr && !(x < l || x > r || y < midV+1 || y > top)) {
                    childs[1] = getQuadNode();
                    childs[1]->l = l;
                    childs[1]->r = r;
                    childs[1]->bot = midV+1;
                    childs[1]->top = top;
                }
            }

            for(int k = 0; k < 4; k++) {
                if(childs[k] != nullptr) {
                    childs[k]->add(x, y, idx);
                }
            }
        }
    }

    void setInRange(const ll & x, const ll & y, const ll & radius, const int & idx)
    {
        if(x+2*radius < l || x-2*radius > r || y+2*radius < bot || y-2*radius > top || sz == 0) {
            return;
        }
//        cerr << "l = " << l << ", r = " << r << ", "
//             << "bot = " << bot << ", top = " << top << "\n";
        if(l == r && bot == top) {
            while(llnode != nullptr &&
                (A[idx].r+A[llnode->idx].r)*(A[idx].r+A[llnode->idx].r)
                >= llabs(A[idx].x-A[llnode->idx].x)*llabs(A[idx].x-A[llnode->idx].x)
                +llabs(A[idx].y-A[llnode->idx].y)*llabs(A[idx].y-A[llnode->idx].y)) {
                A[llnode->idx].p = idx;
                A[llnode->idx].visited = true;
                sz--;
                llnode = llnode->next;
            }
            return;
        }

        int cnt = 0;
        for(int k = 0; k < 4; k++) {
            if(childs[k] != nullptr) {
                childs[k]->setInRange(x, y, radius, idx);
                cnt += childs[k]->sz;
            }
        }
        sz = cnt;
    }
} QuadNodes[MAX_N*20];
int quadcounter = 0;
inline Quad* getQuadNode()
{
    return &QuadNodes[quadcounter++];
}

Quad Q(-1000000000, 1000000000, -1000000000, 1000000000);

inline int nextInt()
{
	int c = getchar();
	while (c != '-' && (c < '0' || c > '9')) {
        c = getchar();
	}
	int x = 0;
	bool neg = false;
	if (c == '-') {
		neg = true;
		c = getchar();
	}
	while (c >= '0' && c <= '9') {
		x = x*10+(c-'0');
		c = getchar();
	}
	if (neg)
		return -x;
	return x;
}

int main()
{
    //auto stop = steady_clock::now();

    n = nextInt();
    for(int i = 0; i < n; i++) {
        A[i].x = nextInt();
        A[i].y = nextInt();
        A[i].r = nextInt();
    }

    //cerr << "Exec: " << duration_cast<milliseconds>(steady_clock::now()-stop).count() << " ms\n";

    vector<int> I(n);
    iota(I.begin(), I.end(), 0);
    sort(I.begin(), I.end(),
    [&](int a, int b)
    {
        return A[a].r > A[b].r || (A[a].r == A[b].r && a < b);
    });

    for(int i = n-1; i >= 0; i--) {
        int idx = I[i];
        //cerr << i << " started\n";
        Q.add(A[idx].x, A[idx].y, idx);
        //cerr << i << " finished\n";
    }

    for(int i = 0; i < n; i++) {
        int idx = I[i];
        if(A[idx].visited) continue;
        Q.setInRange(A[idx].x, A[idx].y, A[idx].r, idx);
    }

    for(int i = 0; i < n; i++) {
        cout << 1+A[i].p << " ";
    }
    cout << "\n";

//    cerr << "Dupe: " << dup << "\n";
//    cerr << "Exec: " << duration_cast<milliseconds>(steady_clock::now()-stop).count() << " ms\n";

    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 173 ms 474548 KB Output is correct
2 Correct 164 ms 474628 KB Output is correct
3 Correct 164 ms 474568 KB Output is correct
4 Correct 161 ms 474564 KB Output is correct
5 Correct 164 ms 474636 KB Output is correct
6 Correct 161 ms 474568 KB Output is correct
7 Correct 161 ms 474564 KB Output is correct
8 Correct 163 ms 474580 KB Output is correct
9 Correct 161 ms 474656 KB Output is correct
10 Correct 165 ms 474564 KB Output is correct
11 Correct 161 ms 474592 KB Output is correct
12 Correct 165 ms 474564 KB Output is correct
13 Correct 164 ms 474580 KB Output is correct
14 Correct 171 ms 474564 KB Output is correct
15 Correct 160 ms 474540 KB Output is correct
16 Correct 165 ms 474616 KB Output is correct
17 Correct 164 ms 474636 KB Output is correct
18 Correct 163 ms 474584 KB Output is correct
19 Correct 178 ms 474824 KB Output is correct
20 Correct 171 ms 474836 KB Output is correct
21 Correct 172 ms 474776 KB Output is correct
22 Correct 175 ms 474820 KB Output is correct
23 Correct 173 ms 474812 KB Output is correct
24 Correct 183 ms 474900 KB Output is correct
25 Correct 175 ms 474820 KB Output is correct
26 Correct 177 ms 474792 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 822 ms 487320 KB Output is correct
2 Correct 852 ms 487364 KB Output is correct
3 Correct 854 ms 487004 KB Output is correct
4 Correct 822 ms 487288 KB Output is correct
5 Correct 609 ms 487196 KB Output is correct
6 Correct 853 ms 487136 KB Output is correct
7 Correct 711 ms 487108 KB Output is correct
8 Correct 750 ms 487176 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 162 ms 474624 KB Output is correct
2 Correct 502 ms 478696 KB Output is correct
3 Runtime error 1002 ms 982484 KB Execution killed with signal 11
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 941 ms 983804 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 173 ms 474548 KB Output is correct
2 Correct 164 ms 474628 KB Output is correct
3 Correct 164 ms 474568 KB Output is correct
4 Correct 161 ms 474564 KB Output is correct
5 Correct 164 ms 474636 KB Output is correct
6 Correct 161 ms 474568 KB Output is correct
7 Correct 161 ms 474564 KB Output is correct
8 Correct 163 ms 474580 KB Output is correct
9 Correct 161 ms 474656 KB Output is correct
10 Correct 165 ms 474564 KB Output is correct
11 Correct 161 ms 474592 KB Output is correct
12 Correct 165 ms 474564 KB Output is correct
13 Correct 164 ms 474580 KB Output is correct
14 Correct 171 ms 474564 KB Output is correct
15 Correct 160 ms 474540 KB Output is correct
16 Correct 165 ms 474616 KB Output is correct
17 Correct 164 ms 474636 KB Output is correct
18 Correct 163 ms 474584 KB Output is correct
19 Correct 178 ms 474824 KB Output is correct
20 Correct 171 ms 474836 KB Output is correct
21 Correct 172 ms 474776 KB Output is correct
22 Correct 175 ms 474820 KB Output is correct
23 Correct 173 ms 474812 KB Output is correct
24 Correct 183 ms 474900 KB Output is correct
25 Correct 175 ms 474820 KB Output is correct
26 Correct 177 ms 474792 KB Output is correct
27 Correct 188 ms 475040 KB Output is correct
28 Correct 186 ms 475016 KB Output is correct
29 Correct 186 ms 474928 KB Output is correct
30 Correct 191 ms 474940 KB Output is correct
31 Correct 194 ms 475076 KB Output is correct
32 Correct 190 ms 475024 KB Output is correct
33 Correct 402 ms 478732 KB Output is correct
34 Correct 408 ms 478696 KB Output is correct
35 Correct 424 ms 478660 KB Output is correct
36 Correct 485 ms 478752 KB Output is correct
37 Correct 491 ms 478792 KB Output is correct
38 Correct 489 ms 478660 KB Output is correct
39 Correct 1215 ms 478788 KB Output is correct
40 Correct 1258 ms 478728 KB Output is correct
41 Correct 1250 ms 478696 KB Output is correct
42 Correct 394 ms 478624 KB Output is correct
43 Correct 463 ms 478688 KB Output is correct
44 Correct 478 ms 478684 KB Output is correct
45 Correct 468 ms 478712 KB Output is correct
46 Correct 461 ms 478660 KB Output is correct
47 Correct 465 ms 478648 KB Output is correct
48 Correct 469 ms 478656 KB Output is correct
49 Correct 464 ms 478720 KB Output is correct
50 Correct 484 ms 478800 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 173 ms 474548 KB Output is correct
2 Correct 164 ms 474628 KB Output is correct
3 Correct 164 ms 474568 KB Output is correct
4 Correct 161 ms 474564 KB Output is correct
5 Correct 164 ms 474636 KB Output is correct
6 Correct 161 ms 474568 KB Output is correct
7 Correct 161 ms 474564 KB Output is correct
8 Correct 163 ms 474580 KB Output is correct
9 Correct 161 ms 474656 KB Output is correct
10 Correct 165 ms 474564 KB Output is correct
11 Correct 161 ms 474592 KB Output is correct
12 Correct 165 ms 474564 KB Output is correct
13 Correct 164 ms 474580 KB Output is correct
14 Correct 171 ms 474564 KB Output is correct
15 Correct 160 ms 474540 KB Output is correct
16 Correct 165 ms 474616 KB Output is correct
17 Correct 164 ms 474636 KB Output is correct
18 Correct 163 ms 474584 KB Output is correct
19 Correct 178 ms 474824 KB Output is correct
20 Correct 171 ms 474836 KB Output is correct
21 Correct 172 ms 474776 KB Output is correct
22 Correct 175 ms 474820 KB Output is correct
23 Correct 173 ms 474812 KB Output is correct
24 Correct 183 ms 474900 KB Output is correct
25 Correct 175 ms 474820 KB Output is correct
26 Correct 177 ms 474792 KB Output is correct
27 Correct 822 ms 487320 KB Output is correct
28 Correct 852 ms 487364 KB Output is correct
29 Correct 854 ms 487004 KB Output is correct
30 Correct 822 ms 487288 KB Output is correct
31 Correct 609 ms 487196 KB Output is correct
32 Correct 853 ms 487136 KB Output is correct
33 Correct 711 ms 487108 KB Output is correct
34 Correct 750 ms 487176 KB Output is correct
35 Correct 162 ms 474624 KB Output is correct
36 Correct 502 ms 478696 KB Output is correct
37 Runtime error 1002 ms 982484 KB Execution killed with signal 11
38 Halted 0 ms 0 KB -