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Submission #984712

# Submission time Handle Problem Language Result Execution time Memory
984712 2024-05-17T03:25:12 Z qwerasdfzxcl Circle selection (APIO18_circle_selection) C++17
87 / 100
 3000 ms 189384 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;

	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){
			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++;
		}

		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:108:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  108 |  scanf("%d", &n);
      |  ~~~~~^~~~~~~~~~
circle_selection.cpp:112:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  112 |   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 22 ms 57944 KB Output is correct
2 Correct 12 ms 57944 KB Output is correct
3 Correct 12 ms 58064 KB Output is correct
4 Correct 13 ms 57948 KB Output is correct
5 Correct 12 ms 57948 KB Output is correct
6 Correct 12 ms 58012 KB Output is correct
7 Correct 12 ms 57944 KB Output is correct
8 Correct 14 ms 57944 KB Output is correct
9 Correct 12 ms 57944 KB Output is correct
10 Correct 11 ms 57948 KB Output is correct
11 Correct 12 ms 57960 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 58044 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 58016 KB Output is correct
19 Correct 17 ms 60252 KB Output is correct
20 Correct 17 ms 60228 KB Output is correct
21 Correct 17 ms 59992 KB Output is correct
22 Correct 20 ms 60508 KB Output is correct
23 Correct 22 ms 61372 KB Output is correct
24 Correct 17 ms 60504 KB Output is correct
25 Correct 18 ms 60252 KB Output is correct
26 Correct 20 ms 60504 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 443 ms 70680 KB Output is correct
2 Correct 448 ms 69588 KB Output is correct
3 Correct 454 ms 70844 KB Output is correct
4 Correct 441 ms 70268 KB Output is correct
5 Correct 393 ms 71664 KB Output is correct
6 Correct 471 ms 80480 KB Output is correct
7 Correct 479 ms 73732 KB Output is correct
8 Correct 468 ms 74204 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 58072 KB Output is correct
2 Correct 315 ms 85652 KB Output is correct
3 Correct 1129 ms 136416 KB Output is correct
4 Correct 1118 ms 135604 KB Output is correct
5 Correct 1335 ms 132724 KB Output is correct
6 Correct 522 ms 87380 KB Output is correct
7 Correct 179 ms 70664 KB Output is correct
8 Correct 32 ms 61400 KB Output is correct
9 Correct 1243 ms 139016 KB Output is correct
10 Correct 1579 ms 127624 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 913 ms 127412 KB Output is correct
2 Correct 410 ms 91496 KB Output is correct
3 Correct 877 ms 77264 KB Output is correct
4 Correct 468 ms 95084 KB Output is correct
5 Correct 428 ms 93140 KB Output is correct
6 Correct 752 ms 71216 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 57944 KB Output is correct
2 Correct 12 ms 57944 KB Output is correct
3 Correct 12 ms 58064 KB Output is correct
4 Correct 13 ms 57948 KB Output is correct
5 Correct 12 ms 57948 KB Output is correct
6 Correct 12 ms 58012 KB Output is correct
7 Correct 12 ms 57944 KB Output is correct
8 Correct 14 ms 57944 KB Output is correct
9 Correct 12 ms 57944 KB Output is correct
10 Correct 11 ms 57948 KB Output is correct
11 Correct 12 ms 57960 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 58044 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 58016 KB Output is correct
19 Correct 17 ms 60252 KB Output is correct
20 Correct 17 ms 60228 KB Output is correct
21 Correct 17 ms 59992 KB Output is correct
22 Correct 20 ms 60508 KB Output is correct
23 Correct 22 ms 61372 KB Output is correct
24 Correct 17 ms 60504 KB Output is correct
25 Correct 18 ms 60252 KB Output is correct
26 Correct 20 ms 60504 KB Output is correct
27 Correct 22 ms 60248 KB Output is correct
28 Correct 23 ms 60252 KB Output is correct
29 Correct 23 ms 60252 KB Output is correct
30 Correct 29 ms 62012 KB Output is correct
31 Correct 26 ms 61276 KB Output is correct
32 Correct 24 ms 61192 KB Output is correct
33 Correct 126 ms 63540 KB Output is correct
34 Correct 134 ms 63428 KB Output is correct
35 Correct 145 ms 63588 KB Output is correct
36 Correct 199 ms 76240 KB Output is correct
37 Correct 190 ms 76492 KB Output is correct
38 Correct 240 ms 78792 KB Output is correct
39 Correct 175 ms 66308 KB Output is correct
40 Correct 173 ms 66400 KB Output is correct
41 Correct 178 ms 66500 KB Output is correct
42 Correct 178 ms 66592 KB Output is correct
43 Correct 132 ms 69984 KB Output is correct
44 Correct 132 ms 69732 KB Output is correct
45 Correct 130 ms 70080 KB Output is correct
46 Correct 134 ms 69984 KB Output is correct
47 Correct 132 ms 69432 KB Output is correct
48 Correct 138 ms 70216 KB Output is correct
49 Correct 133 ms 69064 KB Output is correct
50 Correct 134 ms 69728 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 57944 KB Output is correct
2 Correct 12 ms 57944 KB Output is correct
3 Correct 12 ms 58064 KB Output is correct
4 Correct 13 ms 57948 KB Output is correct
5 Correct 12 ms 57948 KB Output is correct
6 Correct 12 ms 58012 KB Output is correct
7 Correct 12 ms 57944 KB Output is correct
8 Correct 14 ms 57944 KB Output is correct
9 Correct 12 ms 57944 KB Output is correct
10 Correct 11 ms 57948 KB Output is correct
11 Correct 12 ms 57960 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 58044 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 58016 KB Output is correct
19 Correct 17 ms 60252 KB Output is correct
20 Correct 17 ms 60228 KB Output is correct
21 Correct 17 ms 59992 KB Output is correct
22 Correct 20 ms 60508 KB Output is correct
23 Correct 22 ms 61372 KB Output is correct
24 Correct 17 ms 60504 KB Output is correct
25 Correct 18 ms 60252 KB Output is correct
26 Correct 20 ms 60504 KB Output is correct
27 Correct 443 ms 70680 KB Output is correct
28 Correct 448 ms 69588 KB Output is correct
29 Correct 454 ms 70844 KB Output is correct
30 Correct 441 ms 70268 KB Output is correct
31 Correct 393 ms 71664 KB Output is correct
32 Correct 471 ms 80480 KB Output is correct
33 Correct 479 ms 73732 KB Output is correct
34 Correct 468 ms 74204 KB Output is correct
35 Correct 13 ms 58072 KB Output is correct
36 Correct 315 ms 85652 KB Output is correct
37 Correct 1129 ms 136416 KB Output is correct
38 Correct 1118 ms 135604 KB Output is correct
39 Correct 1335 ms 132724 KB Output is correct
40 Correct 522 ms 87380 KB Output is correct
41 Correct 179 ms 70664 KB Output is correct
42 Correct 32 ms 61400 KB Output is correct
43 Correct 1243 ms 139016 KB Output is correct
44 Correct 1579 ms 127624 KB Output is correct
45 Correct 913 ms 127412 KB Output is correct
46 Correct 410 ms 91496 KB Output is correct
47 Correct 877 ms 77264 KB Output is correct
48 Correct 468 ms 95084 KB Output is correct
49 Correct 428 ms 93140 KB Output is correct
50 Correct 752 ms 71216 KB Output is correct
51 Correct 22 ms 60248 KB Output is correct
52 Correct 23 ms 60252 KB Output is correct
53 Correct 23 ms 60252 KB Output is correct
54 Correct 29 ms 62012 KB Output is correct
55 Correct 26 ms 61276 KB Output is correct
56 Correct 24 ms 61192 KB Output is correct
57 Correct 126 ms 63540 KB Output is correct
58 Correct 134 ms 63428 KB Output is correct
59 Correct 145 ms 63588 KB Output is correct
60 Correct 199 ms 76240 KB Output is correct
61 Correct 190 ms 76492 KB Output is correct
62 Correct 240 ms 78792 KB Output is correct
63 Correct 175 ms 66308 KB Output is correct
64 Correct 173 ms 66400 KB Output is correct
65 Correct 178 ms 66500 KB Output is correct
66 Correct 178 ms 66592 KB Output is correct
67 Correct 132 ms 69984 KB Output is correct
68 Correct 132 ms 69732 KB Output is correct
69 Correct 130 ms 70080 KB Output is correct
70 Correct 134 ms 69984 KB Output is correct
71 Correct 132 ms 69432 KB Output is correct
72 Correct 138 ms 70216 KB Output is correct
73 Correct 133 ms 69064 KB Output is correct
74 Correct 134 ms 69728 KB Output is correct
75 Correct 455 ms 69720 KB Output is correct
76 Correct 458 ms 70068 KB Output is correct
77 Correct 423 ms 69400 KB Output is correct
78 Correct 468 ms 70600 KB Output is correct
79 Correct 611 ms 71312 KB Output is correct
80 Correct 438 ms 70956 KB Output is correct
81 Correct 1029 ms 130600 KB Output is correct
82 Correct 929 ms 121016 KB Output is correct
83 Correct 897 ms 122672 KB Output is correct
84 Correct 1314 ms 146972 KB Output is correct
85 Correct 988 ms 127332 KB Output is correct
86 Correct 830 ms 119712 KB Output is correct
87 Correct 2537 ms 189384 KB Output is correct
88 Correct 568 ms 79268 KB Output is correct
89 Correct 587 ms 79360 KB Output is correct
90 Correct 615 ms 79588 KB Output is correct
91 Correct 659 ms 78692 KB Output is correct
92 Correct 585 ms 79740 KB Output is correct
93 Correct 460 ms 92132 KB Output is correct
94 Correct 2924 ms 146884 KB Output is correct
95 Correct 431 ms 90528 KB Output is correct
96 Correct 444 ms 92276 KB Output is correct
97 Correct 1895 ms 121980 KB Output is correct
98 Correct 495 ms 83012 KB Output is correct
99 Correct 430 ms 91320 KB Output is correct
100 Correct 452 ms 91304 KB Output is correct
101 Correct 675 ms 94640 KB Output is correct
102 Correct 456 ms 90928 KB Output is correct
103 Execution timed out 3051 ms 144100 KB Time limit exceeded
104 Halted 0 ms 0 KB -