oj.uz

Submission #499277

# Submission time Handle Problem Language Result Execution time Memory
499277 2021-12-27T18:18:30 Z _martynas Circle selection (APIO18_circle_selection) C++11
87 / 100
 3000 ms 657248 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(int val)
        : idx(val)
    {
    }
} LLNodes[MAX_N];
int llcounter = 0;

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

int dup;

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

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
*/

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:183:10: warning: variable 'stop' set but not used [-Wunused-but-set-variable]
  183 |     auto stop = steady_clock::now();
      |          ^~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 2 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 2 ms 4940 KB Output is correct
5 Correct 2 ms 4896 KB Output is correct
6 Correct 3 ms 5196 KB Output is correct
7 Correct 3 ms 5196 KB Output is correct
8 Correct 3 ms 5132 KB Output is correct
9 Correct 3 ms 5196 KB Output is correct
10 Correct 3 ms 5196 KB Output is correct
11 Correct 3 ms 5196 KB Output is correct
12 Correct 3 ms 5196 KB Output is correct
13 Correct 3 ms 5196 KB Output is correct
14 Correct 3 ms 5196 KB Output is correct
15 Correct 3 ms 5196 KB Output is correct
16 Correct 6 ms 7372 KB Output is correct
17 Correct 6 ms 7116 KB Output is correct
18 Correct 5 ms 7116 KB Output is correct
19 Correct 18 ms 15600 KB Output is correct
20 Correct 16 ms 13260 KB Output is correct
21 Correct 20 ms 16396 KB Output is correct
22 Correct 20 ms 15588 KB Output is correct
23 Correct 21 ms 14712 KB Output is correct
24 Correct 21 ms 15820 KB Output is correct
25 Correct 21 ms 16584 KB Output is correct
26 Correct 21 ms 16264 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 946 ms 359824 KB Output is correct
2 Correct 982 ms 371516 KB Output is correct
3 Correct 954 ms 350636 KB Output is correct
4 Correct 1004 ms 388056 KB Output is correct
5 Correct 533 ms 66228 KB Output is correct
6 Correct 882 ms 212092 KB Output is correct
7 Correct 667 ms 135984 KB Output is correct
8 Correct 725 ms 158276 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 494 ms 229708 KB Output is correct
3 Correct 1634 ms 657212 KB Output is correct
4 Correct 1611 ms 657248 KB Output is correct
5 Correct 1495 ms 588348 KB Output is correct
6 Correct 693 ms 319772 KB Output is correct
7 Correct 356 ms 170208 KB Output is correct
8 Correct 64 ms 38528 KB Output is correct
9 Correct 1588 ms 595984 KB Output is correct
10 Correct 1424 ms 616636 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1461 ms 601944 KB Output is correct
2 Correct 1380 ms 574832 KB Output is correct
3 Correct 1266 ms 602308 KB Output is correct
4 Correct 1447 ms 621044 KB Output is correct
5 Correct 1404 ms 599304 KB Output is correct
6 Correct 1216 ms 591656 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 2 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 2 ms 4940 KB Output is correct
5 Correct 2 ms 4896 KB Output is correct
6 Correct 3 ms 5196 KB Output is correct
7 Correct 3 ms 5196 KB Output is correct
8 Correct 3 ms 5132 KB Output is correct
9 Correct 3 ms 5196 KB Output is correct
10 Correct 3 ms 5196 KB Output is correct
11 Correct 3 ms 5196 KB Output is correct
12 Correct 3 ms 5196 KB Output is correct
13 Correct 3 ms 5196 KB Output is correct
14 Correct 3 ms 5196 KB Output is correct
15 Correct 3 ms 5196 KB Output is correct
16 Correct 6 ms 7372 KB Output is correct
17 Correct 6 ms 7116 KB Output is correct
18 Correct 5 ms 7116 KB Output is correct
19 Correct 18 ms 15600 KB Output is correct
20 Correct 16 ms 13260 KB Output is correct
21 Correct 20 ms 16396 KB Output is correct
22 Correct 20 ms 15588 KB Output is correct
23 Correct 21 ms 14712 KB Output is correct
24 Correct 21 ms 15820 KB Output is correct
25 Correct 21 ms 16584 KB Output is correct
26 Correct 21 ms 16264 KB Output is correct
27 Correct 37 ms 26484 KB Output is correct
28 Correct 36 ms 25380 KB Output is correct
29 Correct 36 ms 26308 KB Output is correct
30 Correct 41 ms 25472 KB Output is correct
31 Correct 41 ms 25436 KB Output is correct
32 Correct 50 ms 26316 KB Output is correct
33 Correct 381 ms 200820 KB Output is correct
34 Correct 389 ms 209988 KB Output is correct
35 Correct 403 ms 205508 KB Output is correct
36 Correct 454 ms 203708 KB Output is correct
37 Correct 476 ms 212420 KB Output is correct
38 Correct 460 ms 206916 KB Output is correct
39 Correct 1088 ms 25584 KB Output is correct
40 Correct 1087 ms 25664 KB Output is correct
41 Correct 1092 ms 25564 KB Output is correct
42 Correct 300 ms 92868 KB Output is correct
43 Correct 408 ms 156680 KB Output is correct
44 Correct 424 ms 156740 KB Output is correct
45 Correct 408 ms 156676 KB Output is correct
46 Correct 411 ms 156796 KB Output is correct
47 Correct 404 ms 156684 KB Output is correct
48 Correct 419 ms 156716 KB Output is correct
49 Correct 401 ms 156836 KB Output is correct
50 Correct 419 ms 156824 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 2 ms 4940 KB Output is correct
3 Correct 3 ms 4940 KB Output is correct
4 Correct 2 ms 4940 KB Output is correct
5 Correct 2 ms 4896 KB Output is correct
6 Correct 3 ms 5196 KB Output is correct
7 Correct 3 ms 5196 KB Output is correct
8 Correct 3 ms 5132 KB Output is correct
9 Correct 3 ms 5196 KB Output is correct
10 Correct 3 ms 5196 KB Output is correct
11 Correct 3 ms 5196 KB Output is correct
12 Correct 3 ms 5196 KB Output is correct
13 Correct 3 ms 5196 KB Output is correct
14 Correct 3 ms 5196 KB Output is correct
15 Correct 3 ms 5196 KB Output is correct
16 Correct 6 ms 7372 KB Output is correct
17 Correct 6 ms 7116 KB Output is correct
18 Correct 5 ms 7116 KB Output is correct
19 Correct 18 ms 15600 KB Output is correct
20 Correct 16 ms 13260 KB Output is correct
21 Correct 20 ms 16396 KB Output is correct
22 Correct 20 ms 15588 KB Output is correct
23 Correct 21 ms 14712 KB Output is correct
24 Correct 21 ms 15820 KB Output is correct
25 Correct 21 ms 16584 KB Output is correct
26 Correct 21 ms 16264 KB Output is correct
27 Correct 946 ms 359824 KB Output is correct
28 Correct 982 ms 371516 KB Output is correct
29 Correct 954 ms 350636 KB Output is correct
30 Correct 1004 ms 388056 KB Output is correct
31 Correct 533 ms 66228 KB Output is correct
32 Correct 882 ms 212092 KB Output is correct
33 Correct 667 ms 135984 KB Output is correct
34 Correct 725 ms 158276 KB Output is correct
35 Correct 3 ms 4940 KB Output is correct
36 Correct 494 ms 229708 KB Output is correct
37 Correct 1634 ms 657212 KB Output is correct
38 Correct 1611 ms 657248 KB Output is correct
39 Correct 1495 ms 588348 KB Output is correct
40 Correct 693 ms 319772 KB Output is correct
41 Correct 356 ms 170208 KB Output is correct
42 Correct 64 ms 38528 KB Output is correct
43 Correct 1588 ms 595984 KB Output is correct
44 Correct 1424 ms 616636 KB Output is correct
45 Correct 1461 ms 601944 KB Output is correct
46 Correct 1380 ms 574832 KB Output is correct
47 Correct 1266 ms 602308 KB Output is correct
48 Correct 1447 ms 621044 KB Output is correct
49 Correct 1404 ms 599304 KB Output is correct
50 Correct 1216 ms 591656 KB Output is correct
51 Correct 37 ms 26484 KB Output is correct
52 Correct 36 ms 25380 KB Output is correct
53 Correct 36 ms 26308 KB Output is correct
54 Correct 41 ms 25472 KB Output is correct
55 Correct 41 ms 25436 KB Output is correct
56 Correct 50 ms 26316 KB Output is correct
57 Correct 381 ms 200820 KB Output is correct
58 Correct 389 ms 209988 KB Output is correct
59 Correct 403 ms 205508 KB Output is correct
60 Correct 454 ms 203708 KB Output is correct
61 Correct 476 ms 212420 KB Output is correct
62 Correct 460 ms 206916 KB Output is correct
63 Correct 1088 ms 25584 KB Output is correct
64 Correct 1087 ms 25664 KB Output is correct
65 Correct 1092 ms 25564 KB Output is correct
66 Correct 300 ms 92868 KB Output is correct
67 Correct 408 ms 156680 KB Output is correct
68 Correct 424 ms 156740 KB Output is correct
69 Correct 408 ms 156676 KB Output is correct
70 Correct 411 ms 156796 KB Output is correct
71 Correct 404 ms 156684 KB Output is correct
72 Correct 419 ms 156716 KB Output is correct
73 Correct 401 ms 156836 KB Output is correct
74 Correct 419 ms 156824 KB Output is correct
75 Correct 1337 ms 614312 KB Output is correct
76 Correct 1089 ms 473188 KB Output is correct
77 Correct 1112 ms 524732 KB Output is correct
78 Correct 1194 ms 604984 KB Output is correct
79 Correct 1486 ms 620228 KB Output is correct
80 Correct 1189 ms 593096 KB Output is correct
81 Correct 1549 ms 604264 KB Output is correct
82 Correct 1552 ms 609220 KB Output is correct
83 Correct 1548 ms 616920 KB Output is correct
84 Correct 1489 ms 572476 KB Output is correct
85 Correct 1548 ms 625060 KB Output is correct
86 Correct 1579 ms 619036 KB Output is correct
87 Correct 1517 ms 544044 KB Output is correct
88 Execution timed out 3078 ms 64704 KB Time limit exceeded
89 Halted 0 ms 0 KB -