답안 #95388

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
95388 2019-01-31T08:32:00 Z pranjalssh 원 고르기 (APIO18_circle_selection) C++11
87 / 100
3000 ms 65572 KB
/*
	Simulate process by checking all circles in square of width 4*r. Use a kd-tree for this.
*/
#pragma GCC optimize("O2")
#include <bits/stdc++.h>
using namespace std;

#define cerr cout
#define F first
#define S second
#define FOR(i,a,b) for (auto i = (a); i <= (b); ++i)
#define NFOR(i,a,b) for(auto i = (a); i >= (b); --i)
#define all(x) (x).begin(), (x).end()
#define sz(x) int(x.size())
typedef long long ll; typedef pair <int, int> ii; typedef vector <int> vi; const int inf = 1e9 + 7;
string to_string(string s) { return '"' + s + '"';}
string to_string(char s) { return string(1, s);}
string to_string(const char* s) { return to_string((string) s);}
string to_string(bool b) { return (b ? "true" : "false");}
template <typename A> string to_string(A);
template <typename A, typename B>string to_string(pair<A, B> p) {return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";}
template <typename A> string to_string(A v) {bool f = 1; string r = "{"; for (const auto &x : v) {if (!f)r += ", "; f = 0; r += to_string(x);} return r + "}";}
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) {cerr << " " << to_string(H); debug_out(T...);}
#define pr(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)


const int N = 3e5 + 10;
vi x, y, r;
struct node {
	int l, r, sum;
	vector<int> a;
	node(): l(0), r(0), sum(0) {}
};
vector<node> T;
vi xc, yc;
vi par;
inline bool intersect(int i, int j) {
	return (x[i] - x[j]) * 1LL * (x[i] - x[j]) + (y[i] - y[j]) * 1LL * (y[i] - y[j]) <= (r[i] + r[j]) * 1LL * (r[i] + r[j]);
}

inline int make_node() {
	T.emplace_back();
	return sz(T) - 1;
}

int build(int no, bool dim, int xl, int xr, int yl, int yr, const vi& ids) {
	if (ids.empty()) return no;
	if (no == 0) no = make_node();
	bool g = 1;
	FOR (i, 1, sz(ids) - 1) if (x[ids[i]] != x[ids[0]] or y[ids[i]] != y[ids[0]]) {g = 0; break;}
	if (g) {
		T[no].sum = sz(ids);
		T[no].a = ids;
		return no;
	}
	if (dim) {
		int mid = (yl + yr) >> 1;
		vi lids, rids;
		for (int it : ids) {
			if (y[it] <= yc[mid]) lids.emplace_back(it);
			else rids.emplace_back(it);
		}
		int L = build(0, 0, xl, xr, yl, mid, lids);
		int R = build(0, 0, xl, xr, mid + 1, yr, rids);
		T[no].l = L, T[no].r = R;
		T[no].sum = T[T[no].l].sum + T[T[no].r].sum;
	} else {
		int mid = (xl + xr) >> 1;
		vi lids, rids;
		for (int it : ids) {
			if (x[it] <= xc[mid]) lids.emplace_back(it);
			else rids.emplace_back(it);
		}
		int L = build(0, 1, xl, mid, yl, yr, lids);
		int R = build(0, 1, mid + 1, xr, yl, yr, rids);
		T[no].l = L, T[no].r = R;
		T[no].sum = T[T[no].l].sum + T[T[no].r].sum;
	}
	return no;
}

int xu, xv, yu, yv, bc;
vi rem;

void get(int no, bool dim, int xl, int xr, int yl, int yr) {
	if (T[no].sum == 0) return;

	if (xr < xu or xl > xv) return;
	if (yr < yu or yl > yv) return;

	if (T[no].l == 0 and T[no].r == 0) {
		for (int it: T[no].a) if (intersect(it, bc)) {
			par[it] = bc;
			rem.emplace_back(it);
			T[no].sum--;
		}

		reverse(all(rem));
		vi& a = T[no].a;
		int j = 0;
		FOR (i, 0, sz(a) - 1) {
			if (rem.empty() or a[i] != rem.back()) {
				a[j] = a[i];
				++j;
			} else {
				rem.pop_back();
			}
		}
		a.resize(j);
		rem.clear();
		return;
	}

	if (dim) {
		int mid = (yl+yr)>>1;
		get(T[no].l, 0, xl,xr,yl, mid);
		get(T[no].r, 0, xl, xr, mid+1, yr);
		T[no].sum = T[T[no].l].sum + T[T[no].r].sum;
	} else {
		int mid = (xl+xr)>>1;
		get(T[no].l, 1, xl, mid, yl, yr);
		get(T[no].r, 1, mid+1, xr, yl, yr);
		T[no].sum = T[T[no].l].sum + T[T[no].r].sum;
	}

}
int main()
{
	ios::sync_with_stdio(0); cin.tie(0);

	int n; cin >> n;
	x.resize(n), y.resize(n), r.resize(n);
	par = vi(n, -1);

	FOR (i, 0, n - 1) {
		cin >> x[i] >> y[i] >> r[i];
		xc.emplace_back(x[i]);
		yc.emplace_back(y[i]);
	}
	xc.emplace_back(-inf), xc.emplace_back(inf);
	yc.emplace_back(-inf), yc.emplace_back(inf);
	sort(all(xc)); xc.erase(unique(all(xc)), xc.end());
	sort(all(yc)); yc.erase(unique(all(yc)), yc.end());

	vi id(n); iota(all(id), 0);
	sort(all(id), [&](int x, int y) {
		if (r[x] == r[y]) return x < y;
		return r[x] > r[y];
	});

	T.reserve(1e7);

	T.emplace_back();
	int root = build(0, 0, 0, sz(xc)-1, 0, sz(yc)-1, id);

	for (int i : id) if (par[i] == -1) {
			bc = i;
			xu = max(x[i] - 2LL * r[i], (ll) - inf);
			xu = lower_bound(all(xc), xu) - xc.begin();
			xv = min(x[i] + 2LL * r[i], (ll)inf);
			xv = upper_bound(all(xc), xv) - xc.begin()-1;

			yu = max(y[i] - 2LL * r[i], (ll) - 1e9);
			yu = lower_bound(all(yc), yu) - yc.begin();
			yv = min(y[i] + 2LL * r[i], (ll)1e9);
			yv = upper_bound(all(yc), yv) - yc.begin()-1;

			get(root, 0, 0, sz(xc)-1, 0, sz(yc)-1);
		}

	FOR (i, 0, n - 1) cout << par[i] + 1 << " ";



	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 3 ms 504 KB Output is correct
17 Correct 3 ms 504 KB Output is correct
18 Correct 3 ms 504 KB Output is correct
19 Correct 9 ms 1400 KB Output is correct
20 Correct 8 ms 1400 KB Output is correct
21 Correct 8 ms 1404 KB Output is correct
22 Correct 12 ms 1400 KB Output is correct
23 Correct 12 ms 1400 KB Output is correct
24 Correct 22 ms 1400 KB Output is correct
25 Correct 11 ms 1400 KB Output is correct
26 Correct 11 ms 1428 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 560 ms 60636 KB Output is correct
2 Correct 503 ms 60376 KB Output is correct
3 Correct 501 ms 59868 KB Output is correct
4 Correct 583 ms 60508 KB Output is correct
5 Correct 530 ms 45412 KB Output is correct
6 Correct 765 ms 59760 KB Output is correct
7 Correct 654 ms 57820 KB Output is correct
8 Correct 638 ms 59228 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 348 ms 17664 KB Output is correct
3 Correct 1199 ms 52876 KB Output is correct
4 Correct 1069 ms 52192 KB Output is correct
5 Correct 1052 ms 63324 KB Output is correct
6 Correct 469 ms 41316 KB Output is correct
7 Correct 329 ms 24308 KB Output is correct
8 Correct 44 ms 6136 KB Output is correct
9 Correct 1080 ms 56664 KB Output is correct
10 Correct 937 ms 65572 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 968 ms 52692 KB Output is correct
2 Correct 910 ms 52444 KB Output is correct
3 Correct 545 ms 51800 KB Output is correct
4 Correct 900 ms 51932 KB Output is correct
5 Correct 960 ms 52188 KB Output is correct
6 Correct 507 ms 51548 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 3 ms 504 KB Output is correct
17 Correct 3 ms 504 KB Output is correct
18 Correct 3 ms 504 KB Output is correct
19 Correct 9 ms 1400 KB Output is correct
20 Correct 8 ms 1400 KB Output is correct
21 Correct 8 ms 1404 KB Output is correct
22 Correct 12 ms 1400 KB Output is correct
23 Correct 12 ms 1400 KB Output is correct
24 Correct 22 ms 1400 KB Output is correct
25 Correct 11 ms 1400 KB Output is correct
26 Correct 11 ms 1428 KB Output is correct
27 Correct 32 ms 2296 KB Output is correct
28 Correct 14 ms 2296 KB Output is correct
29 Correct 15 ms 2296 KB Output is correct
30 Correct 21 ms 2296 KB Output is correct
31 Correct 23 ms 2248 KB Output is correct
32 Correct 22 ms 2296 KB Output is correct
33 Correct 150 ms 17900 KB Output is correct
34 Correct 165 ms 17888 KB Output is correct
35 Correct 152 ms 17644 KB Output is correct
36 Correct 296 ms 17772 KB Output is correct
37 Correct 299 ms 17772 KB Output is correct
38 Correct 316 ms 17772 KB Output is correct
39 Correct 731 ms 15212 KB Output is correct
40 Correct 1006 ms 15432 KB Output is correct
41 Correct 973 ms 15340 KB Output is correct
42 Correct 161 ms 16852 KB Output is correct
43 Correct 325 ms 18156 KB Output is correct
44 Correct 316 ms 19452 KB Output is correct
45 Correct 269 ms 18284 KB Output is correct
46 Correct 277 ms 19692 KB Output is correct
47 Correct 293 ms 18984 KB Output is correct
48 Correct 331 ms 20076 KB Output is correct
49 Correct 310 ms 19748 KB Output is correct
50 Correct 308 ms 20076 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 380 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 3 ms 504 KB Output is correct
17 Correct 3 ms 504 KB Output is correct
18 Correct 3 ms 504 KB Output is correct
19 Correct 9 ms 1400 KB Output is correct
20 Correct 8 ms 1400 KB Output is correct
21 Correct 8 ms 1404 KB Output is correct
22 Correct 12 ms 1400 KB Output is correct
23 Correct 12 ms 1400 KB Output is correct
24 Correct 22 ms 1400 KB Output is correct
25 Correct 11 ms 1400 KB Output is correct
26 Correct 11 ms 1428 KB Output is correct
27 Correct 560 ms 60636 KB Output is correct
28 Correct 503 ms 60376 KB Output is correct
29 Correct 501 ms 59868 KB Output is correct
30 Correct 583 ms 60508 KB Output is correct
31 Correct 530 ms 45412 KB Output is correct
32 Correct 765 ms 59760 KB Output is correct
33 Correct 654 ms 57820 KB Output is correct
34 Correct 638 ms 59228 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 348 ms 17664 KB Output is correct
37 Correct 1199 ms 52876 KB Output is correct
38 Correct 1069 ms 52192 KB Output is correct
39 Correct 1052 ms 63324 KB Output is correct
40 Correct 469 ms 41316 KB Output is correct
41 Correct 329 ms 24308 KB Output is correct
42 Correct 44 ms 6136 KB Output is correct
43 Correct 1080 ms 56664 KB Output is correct
44 Correct 937 ms 65572 KB Output is correct
45 Correct 968 ms 52692 KB Output is correct
46 Correct 910 ms 52444 KB Output is correct
47 Correct 545 ms 51800 KB Output is correct
48 Correct 900 ms 51932 KB Output is correct
49 Correct 960 ms 52188 KB Output is correct
50 Correct 507 ms 51548 KB Output is correct
51 Correct 32 ms 2296 KB Output is correct
52 Correct 14 ms 2296 KB Output is correct
53 Correct 15 ms 2296 KB Output is correct
54 Correct 21 ms 2296 KB Output is correct
55 Correct 23 ms 2248 KB Output is correct
56 Correct 22 ms 2296 KB Output is correct
57 Correct 150 ms 17900 KB Output is correct
58 Correct 165 ms 17888 KB Output is correct
59 Correct 152 ms 17644 KB Output is correct
60 Correct 296 ms 17772 KB Output is correct
61 Correct 299 ms 17772 KB Output is correct
62 Correct 316 ms 17772 KB Output is correct
63 Correct 731 ms 15212 KB Output is correct
64 Correct 1006 ms 15432 KB Output is correct
65 Correct 973 ms 15340 KB Output is correct
66 Correct 161 ms 16852 KB Output is correct
67 Correct 325 ms 18156 KB Output is correct
68 Correct 316 ms 19452 KB Output is correct
69 Correct 269 ms 18284 KB Output is correct
70 Correct 277 ms 19692 KB Output is correct
71 Correct 293 ms 18984 KB Output is correct
72 Correct 331 ms 20076 KB Output is correct
73 Correct 310 ms 19748 KB Output is correct
74 Correct 308 ms 20076 KB Output is correct
75 Correct 483 ms 51784 KB Output is correct
76 Correct 481 ms 52444 KB Output is correct
77 Correct 511 ms 52592 KB Output is correct
78 Correct 517 ms 51800 KB Output is correct
79 Correct 594 ms 52444 KB Output is correct
80 Correct 531 ms 51760 KB Output is correct
81 Correct 1189 ms 52716 KB Output is correct
82 Correct 1219 ms 52444 KB Output is correct
83 Correct 1212 ms 52160 KB Output is correct
84 Correct 1306 ms 52236 KB Output is correct
85 Correct 1125 ms 52832 KB Output is correct
86 Correct 1048 ms 52356 KB Output is correct
87 Correct 1345 ms 52192 KB Output is correct
88 Execution timed out 3055 ms 42336 KB Time limit exceeded
89 Halted 0 ms 0 KB -