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Submission #984733

# Submission time Handle Problem Language Result Execution time Memory
984733 2024-05-17T03:52:51 Z qwerasdfzxcl Circle selection (APIO18_circle_selection) C++17
87 / 100
 3000 ms 196960 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

constexpr int INF = 1e9 + 100, CHK = 2;

struct Circle{
	int x, y, r, i, xl, xr;
	Circle(){}

	bool operator < (const Circle &C) const{
		if (r==C.r) return i < C.i;
		return r > C.r;
	}
}C[300300];
int ans[300300];

int ok(int i, int j){
	ll d = (ll)(C[i].x-C[j].x) * (C[i].x-C[j].x) + (ll)(C[i].y-C[j].y) * (C[i].y-C[j].y);
	ll r = (ll)(C[i].r + C[j].r) * (C[i].r + C[j].r);
	return d <= r;
}

struct Seg{

	int sz;
	map<int, int> tree[1201200];

	map<int, int>::iterator iter0[30], iter[30];
	int T[30], buf[30], pt, py = INF;

	void init(int n){
		sz = n;
	}

	void update(int l, int r, int y, int i){
		r++;
		for (l+=sz, r+=sz;l<r;l>>=1, r>>=1){
			if (l&1){
				tree[l][y] = i;
				l++;
			}
			if (r&1){
				--r;
				tree[r][y] = i;
			}
		}
	}

	int queryU(int x, int y, int i){
		pt = 0;
		for (int node=x+sz;node>0;node>>=1){
			if (y!=py || T[pt] != node) iter0[pt] = tree[node].lower_bound(y);
			iter[pt] = iter0[pt];
			T[pt] = node;
			buf[pt] = (iter[pt]==tree[T[pt]].end())?INF:iter[pt]->first;
			pt++;
		}

		py = y;

		int ret = i;

		for (int _=0;_<CHK;_++){
			int idx = min_element(buf, buf+pt) - buf;
			if (buf[idx]==INF) break;
			if (ok(i, iter[idx]->second)) ret = min(ret, iter[idx]->second);
			
			iter[idx]++;
			buf[idx] = (iter[idx]==tree[T[idx]].end())?INF:iter[idx]->first;
		}

		return ret;

	}

	int queryD(int i){
		for (int i=0;i<pt;i++){
			iter[i] = iter0[i];
			buf[i] = (iter[i]==tree[T[i]].begin())?(-INF):prev(iter[i])->first;
		}

		int ret = i;

		for (int _=0;_<CHK;_++){
			int idx = max_element(buf, buf+pt) - buf;
			if (buf[idx]==-INF) break;
			
			iter[idx]--;
			if (ok(i, iter[idx]->second)) ret = min(ret, iter[idx]->second);
			
			buf[idx] = (iter[idx]==tree[T[idx]].begin())?(-INF):prev(iter[idx])->first;
		}

		return ret;
	}
}tree;

int calc(int x, int i){
	int ret = i;
	ret = min(ret, tree.queryU(x, C[i].y, i));
	ret = min(ret, tree.queryD(i));

	return ret;
}

int main(){
	int n;
	scanf("%d", &n);

	vector<int> X;
	for (int i=1;i<=n;i++){
		scanf("%d %d %d", &C[i].x, &C[i].y, &C[i].r);
		X.push_back(C[i].x - C[i].r);
		X.push_back(C[i].x + C[i].r);

		C[i].i = i;
	}

	sort(X.begin(), X.end());
	X.erase(unique(X.begin(), X.end()), X.end());
	for (int i=1;i<=n;i++){
		C[i].xl = lower_bound(X.begin(), X.end(), C[i].x - C[i].r) - X.begin();
		C[i].xr = lower_bound(X.begin(), X.end(), C[i].x + C[i].r) - X.begin();
	}

	sort(C+1, C+n+1);
	tree.init(X.size());

	for (int i=1;i<=n;i++){
		ans[C[i].i] = min(calc(C[i].xl, i), calc(C[i].xr, i));
		if (ans[C[i].i]==i) tree.update(C[i].xl, C[i].xr, C[i].y, i);

		ans[C[i].i] = C[ans[C[i].i]].i;
	}

	for (int i=1;i<=n;i++) printf("%d ", ans[i]);
	printf("\n");
}

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:110:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  110 |  scanf("%d", &n);
      |  ~~~~~^~~~~~~~~~
circle_selection.cpp:114:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  114 |   scanf("%d %d %d", &C[i].x, &C[i].y, &C[i].r);
      |   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 57944 KB Output is correct
2 Correct 12 ms 57948 KB Output is correct
3 Correct 13 ms 58000 KB Output is correct
4 Correct 12 ms 58068 KB Output is correct
5 Correct 13 ms 58204 KB Output is correct
6 Correct 13 ms 57944 KB Output is correct
7 Correct 12 ms 58328 KB Output is correct
8 Correct 12 ms 57948 KB Output is correct
9 Correct 12 ms 58084 KB Output is correct
10 Correct 12 ms 57944 KB Output is correct
11 Correct 12 ms 57948 KB Output is correct
12 Correct 12 ms 57948 KB Output is correct
13 Correct 12 ms 57948 KB Output is correct
14 Correct 12 ms 57948 KB Output is correct
15 Correct 12 ms 58012 KB Output is correct
16 Correct 13 ms 57948 KB Output is correct
17 Correct 13 ms 57948 KB Output is correct
18 Correct 13 ms 57948 KB Output is correct
19 Correct 17 ms 60252 KB Output is correct
20 Correct 17 ms 60252 KB Output is correct
21 Correct 17 ms 60252 KB Output is correct
22 Correct 20 ms 60764 KB Output is correct
23 Correct 23 ms 61532 KB Output is correct
24 Correct 18 ms 60764 KB Output is correct
25 Correct 17 ms 60508 KB Output is correct
26 Correct 18 ms 60508 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 449 ms 76304 KB Output is correct
2 Correct 472 ms 77372 KB Output is correct
3 Correct 452 ms 75952 KB Output is correct
4 Correct 450 ms 76472 KB Output is correct
5 Correct 430 ms 76596 KB Output is correct
6 Correct 502 ms 84916 KB Output is correct
7 Correct 487 ms 77872 KB Output is correct
8 Correct 485 ms 80044 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 57944 KB Output is correct
2 Correct 348 ms 88404 KB Output is correct
3 Correct 1212 ms 142660 KB Output is correct
4 Correct 1129 ms 143068 KB Output is correct
5 Correct 1397 ms 141548 KB Output is correct
6 Correct 555 ms 91328 KB Output is correct
7 Correct 188 ms 72972 KB Output is correct
8 Correct 32 ms 61656 KB Output is correct
9 Correct 1255 ms 146104 KB Output is correct
10 Correct 1630 ms 136132 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 968 ms 134276 KB Output is correct
2 Correct 420 ms 97720 KB Output is correct
3 Correct 877 ms 85292 KB Output is correct
4 Correct 484 ms 102984 KB Output is correct
5 Correct 451 ms 99888 KB Output is correct
6 Correct 783 ms 79216 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 57944 KB Output is correct
2 Correct 12 ms 57948 KB Output is correct
3 Correct 13 ms 58000 KB Output is correct
4 Correct 12 ms 58068 KB Output is correct
5 Correct 13 ms 58204 KB Output is correct
6 Correct 13 ms 57944 KB Output is correct
7 Correct 12 ms 58328 KB Output is correct
8 Correct 12 ms 57948 KB Output is correct
9 Correct 12 ms 58084 KB Output is correct
10 Correct 12 ms 57944 KB Output is correct
11 Correct 12 ms 57948 KB Output is correct
12 Correct 12 ms 57948 KB Output is correct
13 Correct 12 ms 57948 KB Output is correct
14 Correct 12 ms 57948 KB Output is correct
15 Correct 12 ms 58012 KB Output is correct
16 Correct 13 ms 57948 KB Output is correct
17 Correct 13 ms 57948 KB Output is correct
18 Correct 13 ms 57948 KB Output is correct
19 Correct 17 ms 60252 KB Output is correct
20 Correct 17 ms 60252 KB Output is correct
21 Correct 17 ms 60252 KB Output is correct
22 Correct 20 ms 60764 KB Output is correct
23 Correct 23 ms 61532 KB Output is correct
24 Correct 18 ms 60764 KB Output is correct
25 Correct 17 ms 60508 KB Output is correct
26 Correct 18 ms 60508 KB Output is correct
27 Correct 24 ms 60508 KB Output is correct
28 Correct 25 ms 60584 KB Output is correct
29 Correct 24 ms 60540 KB Output is correct
30 Correct 29 ms 62288 KB Output is correct
31 Correct 24 ms 61432 KB Output is correct
32 Correct 24 ms 61444 KB Output is correct
33 Correct 128 ms 66684 KB Output is correct
34 Correct 152 ms 66672 KB Output is correct
35 Correct 140 ms 66500 KB Output is correct
36 Correct 220 ms 78588 KB Output is correct
37 Correct 240 ms 79276 KB Output is correct
38 Correct 238 ms 81368 KB Output is correct
39 Correct 180 ms 67516 KB Output is correct
40 Correct 176 ms 67488 KB Output is correct
41 Correct 187 ms 67404 KB Output is correct
42 Correct 183 ms 68284 KB Output is correct
43 Correct 135 ms 72900 KB Output is correct
44 Correct 142 ms 72352 KB Output is correct
45 Correct 136 ms 72848 KB Output is correct
46 Correct 140 ms 72596 KB Output is correct
47 Correct 142 ms 71832 KB Output is correct
48 Correct 133 ms 72900 KB Output is correct
49 Correct 142 ms 71584 KB Output is correct
50 Correct 148 ms 72460 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 57944 KB Output is correct
2 Correct 12 ms 57948 KB Output is correct
3 Correct 13 ms 58000 KB Output is correct
4 Correct 12 ms 58068 KB Output is correct
5 Correct 13 ms 58204 KB Output is correct
6 Correct 13 ms 57944 KB Output is correct
7 Correct 12 ms 58328 KB Output is correct
8 Correct 12 ms 57948 KB Output is correct
9 Correct 12 ms 58084 KB Output is correct
10 Correct 12 ms 57944 KB Output is correct
11 Correct 12 ms 57948 KB Output is correct
12 Correct 12 ms 57948 KB Output is correct
13 Correct 12 ms 57948 KB Output is correct
14 Correct 12 ms 57948 KB Output is correct
15 Correct 12 ms 58012 KB Output is correct
16 Correct 13 ms 57948 KB Output is correct
17 Correct 13 ms 57948 KB Output is correct
18 Correct 13 ms 57948 KB Output is correct
19 Correct 17 ms 60252 KB Output is correct
20 Correct 17 ms 60252 KB Output is correct
21 Correct 17 ms 60252 KB Output is correct
22 Correct 20 ms 60764 KB Output is correct
23 Correct 23 ms 61532 KB Output is correct
24 Correct 18 ms 60764 KB Output is correct
25 Correct 17 ms 60508 KB Output is correct
26 Correct 18 ms 60508 KB Output is correct
27 Correct 449 ms 76304 KB Output is correct
28 Correct 472 ms 77372 KB Output is correct
29 Correct 452 ms 75952 KB Output is correct
30 Correct 450 ms 76472 KB Output is correct
31 Correct 430 ms 76596 KB Output is correct
32 Correct 502 ms 84916 KB Output is correct
33 Correct 487 ms 77872 KB Output is correct
34 Correct 485 ms 80044 KB Output is correct
35 Correct 12 ms 57944 KB Output is correct
36 Correct 348 ms 88404 KB Output is correct
37 Correct 1212 ms 142660 KB Output is correct
38 Correct 1129 ms 143068 KB Output is correct
39 Correct 1397 ms 141548 KB Output is correct
40 Correct 555 ms 91328 KB Output is correct
41 Correct 188 ms 72972 KB Output is correct
42 Correct 32 ms 61656 KB Output is correct
43 Correct 1255 ms 146104 KB Output is correct
44 Correct 1630 ms 136132 KB Output is correct
45 Correct 968 ms 134276 KB Output is correct
46 Correct 420 ms 97720 KB Output is correct
47 Correct 877 ms 85292 KB Output is correct
48 Correct 484 ms 102984 KB Output is correct
49 Correct 451 ms 99888 KB Output is correct
50 Correct 783 ms 79216 KB Output is correct
51 Correct 24 ms 60508 KB Output is correct
52 Correct 25 ms 60584 KB Output is correct
53 Correct 24 ms 60540 KB Output is correct
54 Correct 29 ms 62288 KB Output is correct
55 Correct 24 ms 61432 KB Output is correct
56 Correct 24 ms 61444 KB Output is correct
57 Correct 128 ms 66684 KB Output is correct
58 Correct 152 ms 66672 KB Output is correct
59 Correct 140 ms 66500 KB Output is correct
60 Correct 220 ms 78588 KB Output is correct
61 Correct 240 ms 79276 KB Output is correct
62 Correct 238 ms 81368 KB Output is correct
63 Correct 180 ms 67516 KB Output is correct
64 Correct 176 ms 67488 KB Output is correct
65 Correct 187 ms 67404 KB Output is correct
66 Correct 183 ms 68284 KB Output is correct
67 Correct 135 ms 72900 KB Output is correct
68 Correct 142 ms 72352 KB Output is correct
69 Correct 136 ms 72848 KB Output is correct
70 Correct 140 ms 72596 KB Output is correct
71 Correct 142 ms 71832 KB Output is correct
72 Correct 133 ms 72900 KB Output is correct
73 Correct 142 ms 71584 KB Output is correct
74 Correct 148 ms 72460 KB Output is correct
75 Correct 465 ms 78056 KB Output is correct
76 Correct 454 ms 78268 KB Output is correct
77 Correct 405 ms 79640 KB Output is correct
78 Correct 431 ms 77996 KB Output is correct
79 Correct 608 ms 77788 KB Output is correct
80 Correct 495 ms 79040 KB Output is correct
81 Correct 1048 ms 139144 KB Output is correct
82 Correct 899 ms 129244 KB Output is correct
83 Correct 917 ms 128952 KB Output is correct
84 Correct 1319 ms 154536 KB Output is correct
85 Correct 997 ms 135192 KB Output is correct
86 Correct 894 ms 126800 KB Output is correct
87 Correct 2678 ms 196960 KB Output is correct
88 Correct 647 ms 81772 KB Output is correct
89 Correct 672 ms 82192 KB Output is correct
90 Correct 597 ms 82884 KB Output is correct
91 Correct 597 ms 82148 KB Output is correct
92 Correct 620 ms 81704 KB Output is correct
93 Correct 444 ms 97208 KB Output is correct
94 Execution timed out 3034 ms 154452 KB Time limit exceeded
95 Halted 0 ms 0 KB -