oj.uz

Submission #109057

# Submission time Handle Problem Language Result Execution time Memory
109057 2019-05-04T07:08:52 Z ryansee Circle selection (APIO18_circle_selection) C++14
30 / 100
 3000 ms 93852 KB 
#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, ll> 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;

ll magic = 5; // odd number pls
bool 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 <ll, ll> mp;
vector <ll> d;
vector<pi>ind[MAXN],tmp[MAXN];
ll latest = 0;
void 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()) continue; assert(co < MAXN);
		if(ind[i].size()==1) { mp[C[ind[i][0].s].f/new_R] = co; tmp[co++].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
				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,MAXN) ind[i]=tmp[i];
}
void 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)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 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: In function 'void st4()':
circle_selection.cpp:130:24: 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 15 ms 14464 KB Output is correct
2 Correct 15 ms 14464 KB Output is correct
3 Correct 20 ms 14464 KB Output is correct
4 Correct 16 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 17 ms 14556 KB Output is correct
7 Correct 16 ms 14484 KB Output is correct
8 Correct 16 ms 14588 KB Output is correct
9 Correct 15 ms 14464 KB Output is correct
10 Correct 14 ms 14464 KB Output is correct
11 Correct 28 ms 14464 KB Output is correct
12 Correct 32 ms 14464 KB Output is correct
13 Correct 32 ms 14592 KB Output is correct
14 Correct 36 ms 14464 KB Output is correct
15 Correct 44 ms 14464 KB Output is correct
16 Correct 27 ms 14592 KB Output is correct
17 Correct 17 ms 14564 KB Output is correct
18 Correct 16 ms 14592 KB Output is correct
19 Correct 21 ms 14848 KB Output is correct
20 Correct 22 ms 14848 KB Output is correct
21 Correct 36 ms 15224 KB Output is correct
22 Correct 60 ms 15352 KB Output is correct
23 Correct 65 ms 15736 KB Output is correct
24 Correct 79 ms 15352 KB Output is correct
25 Correct 67 ms 15232 KB Output is correct
26 Correct 75 ms 15360 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 264 ms 44076 KB Output is correct
2 Correct 349 ms 44128 KB Output is correct
3 Correct 255 ms 39392 KB Output is correct
4 Correct 265 ms 43928 KB Output is correct
5 Incorrect 763 ms 71224 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 14464 KB Output is correct
2 Correct 1392 ms 38628 KB Output is correct
3 Execution timed out 3015 ms 85056 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 848 ms 42036 KB Output is correct
2 Correct 1002 ms 53088 KB Output is correct
3 Correct 1449 ms 37088 KB Output is correct
4 Correct 1038 ms 52180 KB Output is correct
5 Correct 946 ms 52832 KB Output is correct
6 Correct 1295 ms 35740 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 14464 KB Output is correct
2 Correct 15 ms 14464 KB Output is correct
3 Correct 20 ms 14464 KB Output is correct
4 Correct 16 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 17 ms 14556 KB Output is correct
7 Correct 16 ms 14484 KB Output is correct
8 Correct 16 ms 14588 KB Output is correct
9 Correct 15 ms 14464 KB Output is correct
10 Correct 14 ms 14464 KB Output is correct
11 Correct 28 ms 14464 KB Output is correct
12 Correct 32 ms 14464 KB Output is correct
13 Correct 32 ms 14592 KB Output is correct
14 Correct 36 ms 14464 KB Output is correct
15 Correct 44 ms 14464 KB Output is correct
16 Correct 27 ms 14592 KB Output is correct
17 Correct 17 ms 14564 KB Output is correct
18 Correct 16 ms 14592 KB Output is correct
19 Correct 21 ms 14848 KB Output is correct
20 Correct 22 ms 14848 KB Output is correct
21 Correct 36 ms 15224 KB Output is correct
22 Correct 60 ms 15352 KB Output is correct
23 Correct 65 ms 15736 KB Output is correct
24 Correct 79 ms 15352 KB Output is correct
25 Correct 67 ms 15232 KB Output is correct
26 Correct 75 ms 15360 KB Output is correct
27 Correct 54 ms 16388 KB Output is correct
28 Correct 28 ms 15396 KB Output is correct
29 Correct 26 ms 15352 KB Output is correct
30 Correct 85 ms 16592 KB Output is correct
31 Correct 115 ms 16248 KB Output is correct
32 Correct 96 ms 16248 KB Output is correct
33 Correct 89 ms 21528 KB Output is correct
34 Correct 113 ms 22512 KB Output is correct
35 Correct 354 ms 48448 KB Output is correct
36 Correct 1195 ms 33604 KB Output is correct
37 Correct 1167 ms 33808 KB Output is correct
38 Correct 1195 ms 35052 KB Output is correct
39 Incorrect 1377 ms 93852 KB Output isn't correct
40 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 14464 KB Output is correct
2 Correct 15 ms 14464 KB Output is correct
3 Correct 20 ms 14464 KB Output is correct
4 Correct 16 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 17 ms 14556 KB Output is correct
7 Correct 16 ms 14484 KB Output is correct
8 Correct 16 ms 14588 KB Output is correct
9 Correct 15 ms 14464 KB Output is correct
10 Correct 14 ms 14464 KB Output is correct
11 Correct 28 ms 14464 KB Output is correct
12 Correct 32 ms 14464 KB Output is correct
13 Correct 32 ms 14592 KB Output is correct
14 Correct 36 ms 14464 KB Output is correct
15 Correct 44 ms 14464 KB Output is correct
16 Correct 27 ms 14592 KB Output is correct
17 Correct 17 ms 14564 KB Output is correct
18 Correct 16 ms 14592 KB Output is correct
19 Correct 21 ms 14848 KB Output is correct
20 Correct 22 ms 14848 KB Output is correct
21 Correct 36 ms 15224 KB Output is correct
22 Correct 60 ms 15352 KB Output is correct
23 Correct 65 ms 15736 KB Output is correct
24 Correct 79 ms 15352 KB Output is correct
25 Correct 67 ms 15232 KB Output is correct
26 Correct 75 ms 15360 KB Output is correct
27 Correct 264 ms 44076 KB Output is correct
28 Correct 349 ms 44128 KB Output is correct
29 Correct 255 ms 39392 KB Output is correct
30 Correct 265 ms 43928 KB Output is correct
31 Incorrect 763 ms 71224 KB Output isn't correct
32 Halted 0 ms 0 KB -