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Submission #109048

# Submission time Handle Problem Language Result Execution time Memory
109048 2019-05-04T06:27:24 Z ryansee Circle selection (APIO18_circle_selection) C++14
23 / 100
 1545 ms 72004 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, int> mp;
vector <ll> d;
vector<pi>ind[MAXN],tmp[MAXN];
int 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 = -1;
			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;
			// cerr << one << ' ' << two << '\n';
			int add = 0;
			for(auto j : ind[i]) {
				// cerr << C[j.s].f << ' ' << new_R << ' ' << C[j.s].f/new_R << '\n';
				if(C[j.s].f/new_R == one) { mp[C[j.s].f/new_R] = co; tmp[co].pb(j); add = max(add, 1); }
				else if(C[j.s].f/new_R == two) { mp[C[j.s].f/new_R] = co + 1; tmp[co+1].pb(j); add=max(add,2);}
				else if(C[j.s].f/new_R == three) { mp[C[j.s].f/new_R] = co + 2; tmp[co+2].pb(j); add=3;}
				else assert(0);
			}
			// cerr << '\n' << '\n';
			co += add;
		}
	}
	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));
		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:112:24: warning: unused variable 'y' [-Wunused-variable]
   ll x = mp[C[i].f/R], y = C[i].s;
                        ^

Subtask #1
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 16 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 21 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 16 ms 14464 KB Output is correct
8 Correct 20 ms 14464 KB Output is correct
9 Correct 21 ms 14436 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 32 ms 14532 KB Output is correct
12 Correct 40 ms 14464 KB Output is correct
13 Correct 34 ms 14416 KB Output is correct
14 Correct 31 ms 14592 KB Output is correct
15 Correct 32 ms 14464 KB Output is correct
16 Correct 27 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 17 ms 14592 KB Output is correct
19 Correct 19 ms 14848 KB Output is correct
20 Correct 21 ms 14840 KB Output is correct
21 Correct 33 ms 15224 KB Output is correct
22 Correct 76 ms 15380 KB Output is correct
23 Correct 62 ms 15736 KB Output is correct
24 Runtime error 51 ms 30428 KB Execution killed with signal 11 (could be triggered by violating memory limits)
25 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 302 ms 46884 KB Output is correct
2 Correct 297 ms 45776 KB Output is correct
3 Correct 256 ms 39240 KB Output is correct
4 Correct 254 ms 45204 KB Output is correct
5 Incorrect 703 ms 72004 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 14464 KB Output is correct
2 Runtime error 466 ms 70640 KB Execution killed with signal 11 (could be triggered by violating memory limits)
3 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1018 ms 42020 KB Output is correct
2 Correct 1093 ms 53196 KB Output is correct
3 Correct 1545 ms 37216 KB Output is correct
4 Correct 846 ms 52064 KB Output is correct
5 Correct 867 ms 52704 KB Output is correct
6 Correct 946 ms 35680 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 16 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 21 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 16 ms 14464 KB Output is correct
8 Correct 20 ms 14464 KB Output is correct
9 Correct 21 ms 14436 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 32 ms 14532 KB Output is correct
12 Correct 40 ms 14464 KB Output is correct
13 Correct 34 ms 14416 KB Output is correct
14 Correct 31 ms 14592 KB Output is correct
15 Correct 32 ms 14464 KB Output is correct
16 Correct 27 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 17 ms 14592 KB Output is correct
19 Correct 19 ms 14848 KB Output is correct
20 Correct 21 ms 14840 KB Output is correct
21 Correct 33 ms 15224 KB Output is correct
22 Correct 76 ms 15380 KB Output is correct
23 Correct 62 ms 15736 KB Output is correct
24 Runtime error 51 ms 30428 KB Execution killed with signal 11 (could be triggered by violating memory limits)
25 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 16 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 21 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 13 ms 14464 KB Output is correct
7 Correct 16 ms 14464 KB Output is correct
8 Correct 20 ms 14464 KB Output is correct
9 Correct 21 ms 14436 KB Output is correct
10 Correct 13 ms 14464 KB Output is correct
11 Correct 32 ms 14532 KB Output is correct
12 Correct 40 ms 14464 KB Output is correct
13 Correct 34 ms 14416 KB Output is correct
14 Correct 31 ms 14592 KB Output is correct
15 Correct 32 ms 14464 KB Output is correct
16 Correct 27 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 17 ms 14592 KB Output is correct
19 Correct 19 ms 14848 KB Output is correct
20 Correct 21 ms 14840 KB Output is correct
21 Correct 33 ms 15224 KB Output is correct
22 Correct 76 ms 15380 KB Output is correct
23 Correct 62 ms 15736 KB Output is correct
24 Runtime error 51 ms 30428 KB Execution killed with signal 11 (could be triggered by violating memory limits)
25 Halted 0 ms 0 KB -