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Submission #855753

# Submission time Handle Problem Language Result Execution time Memory
855753 2023-10-01T17:55:01 Z dlalswp25 Circle selection (APIO18_circle_selection) C++17
87 / 100
 3000 ms 240372 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>

using namespace std;
typedef pair<int, int> pii;

const int K = 2;

int N;
int X[303030];
int Y[303030];
int R[303030];
int XL[303030];
int XR[303030];
int ans[303030];
int cur;
char rr;

void rf(int &x) {
	x = 0;
	int sgn = 0;
	while (rr < 48 && rr != '-') rr = getchar();
	if (rr == '-') { sgn = 1; rr = getchar(); }
	while (47 < rr) { x = (x << 3) + (x << 1) + (rr & 15); rr = getchar(); }
	if (sgn) x = -x;
}

inline bool intersect(int i, int j) {
	long long dx = X[i] - X[j], dy = Y[i] - Y[j], r = R[i] + R[j];
	return dx * dx + dy * dy <= r * r;
}

inline void chk(int cand) {
	int &t = ans[cur];
	if (R[cand] < R[t] || (R[cand] == R[t] && cand > t)) return;
	if (intersect(cur, cand)) t = cand;
}

struct SegTree {
	struct Node {
		set<pii> s;
	};

	int n, base;
	vector<Node> T;
	vector<int> L;

	SegTree(int _n) : n(_n) {
		for (base = 1; base < n; base <<= 1);
		T.resize(base + base);
		L.resize(base + base);
		for (int i = base; i < base + base; i++) L[i] = i - base + 1;
		for (int i = base - 1; i >= 1; i--) L[i] = L[i << 1];
	}

	void chk_node(int idx, int y, int r, int li) {
		auto it = T[idx].s.lower_bound({y, 0});
		auto tmp = it;
		if (it != T[idx].s.end() && XL[it->second] > li) {
			chk(it->second);
			if (it->first < (long long)y + r + r) {
				it++;
				if (it != T[idx].s.end()) chk(it->second);
			}
		}
		// for (int i = 0; i < K; i++) {
		// 	if (it == T[idx].end()) break;
		// 	if (XL[it->second] <= li) break;
		// 	chk(it->second);
		// 	if (it->first >= (long long)y + r + r) break;
		// 	if (i < K - 1) it++;
		// }
		it = tmp;
		if (it != T[idx].s.begin()) {
			it--;
			if (XL[it->second] > li) {
				chk(it->second);
				if (it->first > (long long)y - r - r && it != T[idx].s.begin()) {
					chk(prev(it)->second);
				}
			}
		}
		// for (int i = 0; i < K; i++) {
		// 	if (it == T[idx].begin()) break;
		// 	it--;
		// 	if (XL[it->second] <= li) break;
		// 	chk(it->second);
		// 	if (it->first <= (long long)y - r - r) break;
		// }
	}

	void upd(int p, int q, pii x) {
		p += base; q += base;
		p--; q--;
		while (p <= q) {
			if (p & 1) T[p++].s.insert(x);
			if (~q & 1) T[q--].s.insert(x);
			p >>= 1; q >>= 1;
		}
	}

	void get(int p, int y, int r, int li) {
		p += base; p--;
		while (p >= 1) {
			if (L[p] <= li) break;
			chk_node(p, y, r, li);
			p >>= 1;
		}
	}
};

int main() {
	rf(N);
	vector<int> v;
	for (int i = 1; i <= N; i++) {
		rf(X[i]); rf(Y[i]); rf(R[i]);
		XL[i] = X[i] - R[i], XR[i] = X[i] + R[i];
		v.push_back(XL[i]);
		v.push_back(XR[i]);
	}
	sort(v.begin(), v.end());
	v.erase(unique(v.begin(), v.end()), v.end());
	for (int i = 1; i <= N; i++) {
		XL[i] = lower_bound(v.begin(), v.end(), XL[i]) - v.begin() + 1;
		XR[i] = lower_bound(v.begin(), v.end(), XR[i]) - v.begin() + 1;
	}

	int M = v.size();
	SegTree seg(M);

	vector<int> idx(N);
	iota(idx.begin(), idx.end(), 1);
	sort(idx.begin(), idx.end(), [&](int a, int b) {
		return pii(R[a], -a) > pii(R[b], -b);
	});

	for (int i : idx) {
		cur = i;
		ans[i] = i;
		seg.get(XL[i], Y[i], R[i], 0);
		seg.get(XR[i], Y[i], R[i], XL[i]);
		if (ans[i] == i) seg.upd(XL[i], XR[i], {Y[i], i});
	}

	for (int i = 1; i <= N; i++) printf("%d ", ans[i]); puts("");
	return 0;
}

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:146:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  146 |  for (int i = 1; i <= N; i++) printf("%d ", ans[i]); puts("");
      |  ^~~
circle_selection.cpp:146:54: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  146 |  for (int i = 1; i <= N; i++) printf("%d ", ans[i]); puts("");
      |                                                      ^~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6488 KB Output is correct
16 Correct 2 ms 6748 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 4 ms 8536 KB Output is correct
20 Correct 4 ms 8284 KB Output is correct
21 Correct 5 ms 8284 KB Output is correct
22 Correct 6 ms 8796 KB Output is correct
23 Correct 9 ms 9548 KB Output is correct
24 Correct 5 ms 8796 KB Output is correct
25 Correct 5 ms 8540 KB Output is correct
26 Correct 5 ms 8796 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 343 ms 119640 KB Output is correct
2 Correct 356 ms 120128 KB Output is correct
3 Correct 345 ms 119992 KB Output is correct
4 Correct 351 ms 121264 KB Output is correct
5 Correct 286 ms 68724 KB Output is correct
6 Correct 346 ms 131040 KB Output is correct
7 Correct 332 ms 122940 KB Output is correct
8 Correct 339 ms 125352 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 236 ms 57436 KB Output is correct
3 Correct 912 ms 186036 KB Output is correct
4 Correct 884 ms 185232 KB Output is correct
5 Correct 1141 ms 183092 KB Output is correct
6 Correct 392 ms 85952 KB Output is correct
7 Correct 124 ms 44232 KB Output is correct
8 Correct 15 ms 14552 KB Output is correct
9 Correct 993 ms 188244 KB Output is correct
10 Correct 1446 ms 179040 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 662 ms 176580 KB Output is correct
2 Correct 296 ms 142780 KB Output is correct
3 Correct 647 ms 127540 KB Output is correct
4 Correct 344 ms 145588 KB Output is correct
5 Correct 320 ms 144056 KB Output is correct
6 Correct 556 ms 121336 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6488 KB Output is correct
16 Correct 2 ms 6748 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 4 ms 8536 KB Output is correct
20 Correct 4 ms 8284 KB Output is correct
21 Correct 5 ms 8284 KB Output is correct
22 Correct 6 ms 8796 KB Output is correct
23 Correct 9 ms 9548 KB Output is correct
24 Correct 5 ms 8796 KB Output is correct
25 Correct 5 ms 8540 KB Output is correct
26 Correct 5 ms 8796 KB Output is correct
27 Correct 8 ms 10072 KB Output is correct
28 Correct 8 ms 10076 KB Output is correct
29 Correct 8 ms 10076 KB Output is correct
30 Correct 12 ms 11948 KB Output is correct
31 Correct 10 ms 11100 KB Output is correct
32 Correct 10 ms 11100 KB Output is correct
33 Correct 87 ms 35172 KB Output is correct
34 Correct 94 ms 35012 KB Output is correct
35 Correct 101 ms 35224 KB Output is correct
36 Correct 136 ms 47812 KB Output is correct
37 Correct 138 ms 48152 KB Output is correct
38 Correct 162 ms 50380 KB Output is correct
39 Correct 106 ms 11460 KB Output is correct
40 Correct 110 ms 11424 KB Output is correct
41 Correct 110 ms 11456 KB Output is correct
42 Correct 115 ms 11716 KB Output is correct
43 Correct 90 ms 42080 KB Output is correct
44 Correct 88 ms 41316 KB Output is correct
45 Correct 90 ms 41828 KB Output is correct
46 Correct 90 ms 41928 KB Output is correct
47 Correct 89 ms 41152 KB Output is correct
48 Correct 90 ms 42060 KB Output is correct
49 Correct 85 ms 40892 KB Output is correct
50 Correct 89 ms 41412 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6488 KB Output is correct
16 Correct 2 ms 6748 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 4 ms 8536 KB Output is correct
20 Correct 4 ms 8284 KB Output is correct
21 Correct 5 ms 8284 KB Output is correct
22 Correct 6 ms 8796 KB Output is correct
23 Correct 9 ms 9548 KB Output is correct
24 Correct 5 ms 8796 KB Output is correct
25 Correct 5 ms 8540 KB Output is correct
26 Correct 5 ms 8796 KB Output is correct
27 Correct 343 ms 119640 KB Output is correct
28 Correct 356 ms 120128 KB Output is correct
29 Correct 345 ms 119992 KB Output is correct
30 Correct 351 ms 121264 KB Output is correct
31 Correct 286 ms 68724 KB Output is correct
32 Correct 346 ms 131040 KB Output is correct
33 Correct 332 ms 122940 KB Output is correct
34 Correct 339 ms 125352 KB Output is correct
35 Correct 1 ms 6492 KB Output is correct
36 Correct 236 ms 57436 KB Output is correct
37 Correct 912 ms 186036 KB Output is correct
38 Correct 884 ms 185232 KB Output is correct
39 Correct 1141 ms 183092 KB Output is correct
40 Correct 392 ms 85952 KB Output is correct
41 Correct 124 ms 44232 KB Output is correct
42 Correct 15 ms 14552 KB Output is correct
43 Correct 993 ms 188244 KB Output is correct
44 Correct 1446 ms 179040 KB Output is correct
45 Correct 662 ms 176580 KB Output is correct
46 Correct 296 ms 142780 KB Output is correct
47 Correct 647 ms 127540 KB Output is correct
48 Correct 344 ms 145588 KB Output is correct
49 Correct 320 ms 144056 KB Output is correct
50 Correct 556 ms 121336 KB Output is correct
51 Correct 8 ms 10072 KB Output is correct
52 Correct 8 ms 10076 KB Output is correct
53 Correct 8 ms 10076 KB Output is correct
54 Correct 12 ms 11948 KB Output is correct
55 Correct 10 ms 11100 KB Output is correct
56 Correct 10 ms 11100 KB Output is correct
57 Correct 87 ms 35172 KB Output is correct
58 Correct 94 ms 35012 KB Output is correct
59 Correct 101 ms 35224 KB Output is correct
60 Correct 136 ms 47812 KB Output is correct
61 Correct 138 ms 48152 KB Output is correct
62 Correct 162 ms 50380 KB Output is correct
63 Correct 106 ms 11460 KB Output is correct
64 Correct 110 ms 11424 KB Output is correct
65 Correct 110 ms 11456 KB Output is correct
66 Correct 115 ms 11716 KB Output is correct
67 Correct 90 ms 42080 KB Output is correct
68 Correct 88 ms 41316 KB Output is correct
69 Correct 90 ms 41828 KB Output is correct
70 Correct 90 ms 41928 KB Output is correct
71 Correct 89 ms 41152 KB Output is correct
72 Correct 90 ms 42060 KB Output is correct
73 Correct 85 ms 40892 KB Output is correct
74 Correct 89 ms 41412 KB Output is correct
75 Correct 360 ms 120400 KB Output is correct
76 Correct 358 ms 121580 KB Output is correct
77 Correct 320 ms 120704 KB Output is correct
78 Correct 340 ms 120504 KB Output is correct
79 Correct 417 ms 121112 KB Output is correct
80 Correct 347 ms 120268 KB Output is correct
81 Correct 801 ms 181428 KB Output is correct
82 Correct 664 ms 172892 KB Output is correct
83 Correct 688 ms 172980 KB Output is correct
84 Correct 1102 ms 196364 KB Output is correct
85 Correct 761 ms 177336 KB Output is correct
86 Correct 642 ms 169396 KB Output is correct
87 Correct 2575 ms 240372 KB Output is correct
88 Correct 388 ms 22968 KB Output is correct
89 Correct 377 ms 23656 KB Output is correct
90 Correct 380 ms 22968 KB Output is correct
91 Correct 371 ms 22068 KB Output is correct
92 Correct 389 ms 22184 KB Output is correct
93 Correct 340 ms 142264 KB Output is correct
94 Correct 2756 ms 90196 KB Output is correct
95 Correct 337 ms 140928 KB Output is correct
96 Correct 339 ms 141492 KB Output is correct
97 Correct 2056 ms 67148 KB Output is correct
98 Correct 365 ms 132532 KB Output is correct
99 Correct 339 ms 141080 KB Output is correct
100 Correct 312 ms 142704 KB Output is correct
101 Correct 481 ms 145588 KB Output is correct
102 Correct 347 ms 142088 KB Output is correct
103 Execution timed out 3012 ms 87576 KB Time limit exceeded
104 Halted 0 ms 0 KB -