oj.uz

Submission #109067

# Submission time Handle Problem Language Result Execution time Memory
109067 2019-05-04T07:31:03 Z ryansee Circle selection (APIO18_circle_selection) C++14
72 / 100
 3000 ms 97188 KB 
#pragma GCC target ("avx2")
#pragma GCC optimization ("Ofast")
#pragma GCC optimization ("unroll-loops")

#include "bits/stdc++.h"
using namespace std;
#define FAST ios_base::sync_with_stdio(false); cin.tie(0);
#define LLINF ((long long) 1e18)//1234567890987654321
#define INF 1234567890ll
#define pb push_back
#define ins insert
#define f first
#define s second	
#define db 0
#define EPS (1e-7)    //0.0000001 the value
#define PI (acos(-1))
#define MAXN (300006)
#define MAXK 26
#define MAXX 15000006
#define ll long long int 
#define ld long double
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());    //can be used by calling rng() or shuffle(A, A+n, rng)
#define FOR(ii, ss, ee) for(ll ii = ss; ii < ee; ++ii)
#define space " "
#define cbr cerr << "hi\n"
#define mmst(x, v) memset((x), v, sizeof ((x)))
#define siz(x) ((ll)x.size())
#define ph push
#define btinpct(x) __builtin_popcountll(x)
#define p2(x) (1LL<<(x))
#define all(x) (x).begin(), (x).end()
#define lbd(x, y) lower_bound(all(x), y)
#define ubd(x, y) upper_bound(all(x), y)
typedef pair <ll, int> pi;
typedef pair <ll, pi> spi;
typedef pair <pi, pi> dpi;
inline ll rand(ll x, ll y) { ++y; return (rng() % (y-x)) + x; } //inclusivesss
ll n; bool s2 = 1;
pi A[MAXN], C[MAXN];
bool done[MAXN];
int ans[MAXN];
#define sq(x) ((x)*(x))
ld sqr(ll x) { return (x ? sqrtl(x) : 0); }
ld mdist(ll a, ll b, ll c, ll d) { return sqr( sq(llabs(a-c)) + sq(llabs(b-d)) ); }
vector<pi>in;
bool s4 = 1; ll R = -1;
	#define sdb __attribute((optimize("-Ofast"), target("arch=sandybridge")))
ll magic = 5; // odd number pls
inline bool sdb inter(ll i, ll j) {
	if(done[j]) return 1;
	if(mdist(C[i].f, C[i].s, C[j].f, C[j].s) <= (ld)A[i].f + (ld) A[j].f) {
// 		assert(i < j);
		done[j] = 1;
		ans[j] = i;
		return 1;
	}
	else return 0;
}

unordered_map <int, int> mp;
vector <int> d;
vector<pi>ind[MAXN],tmp[MAXN];
int latest = 0;
void sdb split() { 
	FOR(i,0,MAXN) tmp[i].clear();
	ll new_R = R/2; // if(new_R%2)new_R++;
	ll co = 1;
	mp.clear();
	FOR(i,1,latest+1) {
		if(ind[i].empty()) { assert(0); continue; } assert(co < MAXN);
		if(ind[i].size()==1) { if(mp[C[ind[i][0].s].f/new_R] == 0) mp[C[ind[i][0].s].f/new_R] = co++; tmp[mp[C[ind[i][0].s].f/new_R]].pb(ind[i][0]); }
		else {
			ll one = LLINF;
			ll two = 0;
			for(auto j : ind[i]) two = max(two, C[j.s].f/new_R);
			for(auto j : ind[i]) one = min(one, C[j.s].f/new_R);
			ll three = -LLINF;
			for(auto j : ind[i]) three = ((C[j.s].f/new_R) != one && (C[j.s].f/new_R) != two) ? C[j.s].f/new_R : three;
			// if(three != -LLINF) {
				// for(auto j : ind[i]) {
					// cer
					// ll cmp = C[j.s].f/new_R;
					// if(one == cmp || two == cmp || three == cmp);
					// else {
						// cout << "BRUHHH\n";						
						// exit(0);
					// }
				// }
			// }
			// cerr << "1,2,3: " << one << ' ' << two << ' ' << three << '\n';
			if(one == two) { // 1
				assert(three==-LLINF);
				if(mp[one]==0)mp[one] = co ++;
			} else if(three == -LLINF) { // 2
				if(mp[one]==0)mp[one] = co ++;
				if(mp[two]==0)mp[two] = co++;
			} else { // 3
				swap(two,three);
				if(mp[one]==0)mp[one] = co ++;
				if(mp[two]==0)mp[two] = co ++;
				if(mp[three]==0)mp[three] = co ++;
			}
			assert(co+3 < MAXN);
			for(auto j : ind[i]) {
				// cerr << C[j.s].f << ' ' << new_R << ' ' << C[j.s].f/new_R << ' ' << C[j.s].f/R << '\n';
					tmp[mp[C[j.s].f/new_R]].pb(j);
			}
			// cerr << '\n' << '\n';
		}
	}
	R=new_R; latest = co-1;
			assert(co < MAXN);
	FOR(i,0,latest+1) ind[i]=tmp[i];
	// ll p = -LLINF;
	// FOR(i,1,latest+1) {
		// assert(ind[i].size());
		// ll hmm = C[ind[i][0].s].f/R;
		// for(auto j : ind[i]) if(hmm != C[j.s].f/R) assert(0);
		// assert(hmm >= p);
		// p = hmm;
	// }
}
void sdb st4() {
	FOR(i,0,n) {
		d.pb(C[i].f/R);
	}
	sort(all(d)); d.resize(unique(all(d))-d.begin());
	ll co = 1; for(auto i : d) mp[i] = co++; 
	FOR(i,0,n) {
		ind[mp[C[i].f/R]].pb(pi(C[i].s,i));
		latest = max(latest, mp[C[i].f/R]);
	}
	// FOR(i,1,latest+1) sort(all(ind[i]));
	int p[n+5];
	for(ll i=0;i<n;i++) p[i]=i;
	sort(p,p+n,[](ll x, ll y){if(A[x].f==A[y].f)return A[x].s<A[y].s; else return A[x].f>A[y].f;});
// 	assert(ind[0].empty());
	FOR(iii,0,n) {
		ll i = p[iii]; // cerr << i+1 << ' ';
		if(done[i]) continue;
		done[i] = 1;
		ans[i] = i; if(A[i].f < R/2) { split(); }
		ll x = mp[C[i].f/R], y = C[i].s;
		ll ii = i;
		FOR(i,x-magic/2,x+magic/2+1) {
			if(i <= 0||i>latest)continue;
// 			ll d = llabs(x-i) * R + R;
// 			auto lower = ind[i].lower_bound(pi(sqr((4ll*sq(R))-sq(d))-y, 0));
// 			auto upper = (ind[i].upper_bound(pi(sqr((4ll*sq(R))-sq(d))+y, LLINF)));
// 			if(upper != ind[i].end() && pi(lower->f,lower->s) > pi(upper->f,upper->s)) continue;
// 			if(lower == ind[i].end()) continue;
			for(auto j = ind[i].begin(); j != ind[i].end();j++) {
				if(inter(ii,j->s)) {}
			}
		}
	}
	FOR(i,0,n) assert(done[i]);
	FOR(i,0,n) cout << ans[i] + 1 << ' ';
}
int sdb main()
{
	// freopen("int","r",stdin); // freopen("out","w",stdout);
	FAST
	cin >> n;
	FOR(i,0,n) {
		cin >> C[i].f >> C[i].s >> A[i].f; if(0)in.pb(pi(C[i].f,A[i].f));
		C[i].f+=1e9;
		if(C[i].s) s2 = 0;
		A[i].s = i;
		if(R == -1) R = A[i].f;
		if(R != A[i].f) s4 = 0;
		R=max(R,A[i].f);
	} // if(R%2)R++;
	// if(st1() != st2()) {
		
		// cerr << n << '\n';
		// for(auto i : in) cerr << i.f << ' ' << i.s << '\n';
		// assert(0);
	// }
	// assert(st1() == st2());
	st4();
}
// 1 10 1 4 5 6 7 8 4 10 6
// 1 2 1 4 5 6 7 8 4 2 6
/*


3
5 0 3
10 0 2
20 0 8

4
1 0 3
10 0 5
15 0 1
20 0 10


8
1 4
14 12
6 10
0 6
14 0
9 6
3 2
0 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:2:0: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
 #pragma GCC optimization ("Ofast")
 
circle_selection.cpp:3:0: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
 #pragma GCC optimization ("unroll-loops")
 
circle_selection.cpp: In function 'void st4()':
circle_selection.cpp:143:24: warning: unused variable 'y' [-Wunused-variable]
   ll x = mp[C[i].f/R], y = C[i].s;
                        ^

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14464 KB Output is correct
2 Correct 21 ms 14464 KB Output is correct
3 Correct 19 ms 14464 KB Output is correct
4 Correct 18 ms 14464 KB Output is correct
5 Correct 18 ms 14592 KB Output is correct
6 Correct 19 ms 14464 KB Output is correct
7 Correct 17 ms 14464 KB Output is correct
8 Correct 17 ms 14472 KB Output is correct
9 Correct 22 ms 14464 KB Output is correct
10 Correct 20 ms 14464 KB Output is correct
11 Correct 19 ms 14584 KB Output is correct
12 Correct 21 ms 14464 KB Output is correct
13 Correct 24 ms 14436 KB Output is correct
14 Correct 20 ms 14464 KB Output is correct
15 Correct 25 ms 14464 KB Output is correct
16 Correct 21 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 19 ms 14592 KB Output is correct
19 Correct 20 ms 14848 KB Output is correct
20 Correct 21 ms 14976 KB Output is correct
21 Correct 26 ms 15232 KB Output is correct
22 Correct 43 ms 15360 KB Output is correct
23 Correct 51 ms 15736 KB Output is correct
24 Correct 47 ms 15480 KB Output is correct
25 Correct 42 ms 15232 KB Output is correct
26 Correct 65 ms 15352 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 336 ms 42892 KB Output is correct
2 Correct 442 ms 42140 KB Output is correct
3 Correct 286 ms 38176 KB Output is correct
4 Correct 306 ms 42644 KB Output is correct
5 Correct 780 ms 70120 KB Output is correct
6 Correct 1998 ms 69092 KB Output is correct
7 Correct 1384 ms 83764 KB Output is correct
8 Correct 1507 ms 76724 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 14464 KB Output is correct
2 Correct 1660 ms 38456 KB Output is correct
3 Execution timed out 3041 ms 82696 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1067 ms 40932 KB Output is correct
2 Correct 1152 ms 52008 KB Output is correct
3 Correct 2388 ms 35876 KB Output is correct
4 Correct 1083 ms 51004 KB Output is correct
5 Correct 1092 ms 51508 KB Output is correct
6 Correct 2261 ms 34540 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14464 KB Output is correct
2 Correct 21 ms 14464 KB Output is correct
3 Correct 19 ms 14464 KB Output is correct
4 Correct 18 ms 14464 KB Output is correct
5 Correct 18 ms 14592 KB Output is correct
6 Correct 19 ms 14464 KB Output is correct
7 Correct 17 ms 14464 KB Output is correct
8 Correct 17 ms 14472 KB Output is correct
9 Correct 22 ms 14464 KB Output is correct
10 Correct 20 ms 14464 KB Output is correct
11 Correct 19 ms 14584 KB Output is correct
12 Correct 21 ms 14464 KB Output is correct
13 Correct 24 ms 14436 KB Output is correct
14 Correct 20 ms 14464 KB Output is correct
15 Correct 25 ms 14464 KB Output is correct
16 Correct 21 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 19 ms 14592 KB Output is correct
19 Correct 20 ms 14848 KB Output is correct
20 Correct 21 ms 14976 KB Output is correct
21 Correct 26 ms 15232 KB Output is correct
22 Correct 43 ms 15360 KB Output is correct
23 Correct 51 ms 15736 KB Output is correct
24 Correct 47 ms 15480 KB Output is correct
25 Correct 42 ms 15232 KB Output is correct
26 Correct 65 ms 15352 KB Output is correct
27 Correct 42 ms 16348 KB Output is correct
28 Correct 26 ms 15480 KB Output is correct
29 Correct 26 ms 15352 KB Output is correct
30 Correct 101 ms 16632 KB Output is correct
31 Correct 81 ms 16120 KB Output is correct
32 Correct 107 ms 16164 KB Output is correct
33 Correct 92 ms 21192 KB Output is correct
34 Correct 126 ms 21436 KB Output is correct
35 Correct 392 ms 47924 KB Output is correct
36 Correct 1405 ms 33364 KB Output is correct
37 Correct 1355 ms 33360 KB Output is correct
38 Correct 1352 ms 34772 KB Output is correct
39 Correct 1722 ms 97188 KB Output is correct
40 Correct 1732 ms 90016 KB Output is correct
41 Correct 2113 ms 92192 KB Output is correct
42 Correct 997 ms 22132 KB Output is correct
43 Correct 326 ms 26608 KB Output is correct
44 Correct 290 ms 26460 KB Output is correct
45 Correct 311 ms 26580 KB Output is correct
46 Correct 346 ms 26452 KB Output is correct
47 Correct 277 ms 26580 KB Output is correct
48 Correct 300 ms 26456 KB Output is correct
49 Correct 353 ms 26452 KB Output is correct
50 Correct 326 ms 26400 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 14464 KB Output is correct
2 Correct 21 ms 14464 KB Output is correct
3 Correct 19 ms 14464 KB Output is correct
4 Correct 18 ms 14464 KB Output is correct
5 Correct 18 ms 14592 KB Output is correct
6 Correct 19 ms 14464 KB Output is correct
7 Correct 17 ms 14464 KB Output is correct
8 Correct 17 ms 14472 KB Output is correct
9 Correct 22 ms 14464 KB Output is correct
10 Correct 20 ms 14464 KB Output is correct
11 Correct 19 ms 14584 KB Output is correct
12 Correct 21 ms 14464 KB Output is correct
13 Correct 24 ms 14436 KB Output is correct
14 Correct 20 ms 14464 KB Output is correct
15 Correct 25 ms 14464 KB Output is correct
16 Correct 21 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 19 ms 14592 KB Output is correct
19 Correct 20 ms 14848 KB Output is correct
20 Correct 21 ms 14976 KB Output is correct
21 Correct 26 ms 15232 KB Output is correct
22 Correct 43 ms 15360 KB Output is correct
23 Correct 51 ms 15736 KB Output is correct
24 Correct 47 ms 15480 KB Output is correct
25 Correct 42 ms 15232 KB Output is correct
26 Correct 65 ms 15352 KB Output is correct
27 Correct 336 ms 42892 KB Output is correct
28 Correct 442 ms 42140 KB Output is correct
29 Correct 286 ms 38176 KB Output is correct
30 Correct 306 ms 42644 KB Output is correct
31 Correct 780 ms 70120 KB Output is correct
32 Correct 1998 ms 69092 KB Output is correct
33 Correct 1384 ms 83764 KB Output is correct
34 Correct 1507 ms 76724 KB Output is correct
35 Correct 20 ms 14464 KB Output is correct
36 Correct 1660 ms 38456 KB Output is correct
37 Execution timed out 3041 ms 82696 KB Time limit exceeded
38 Halted 0 ms 0 KB -