Submission #109049

# Submission time Handle Problem Language Result Execution time Memory
109049 2019-05-04T06:29:23 Z ryansee Circle selection (APIO18_circle_selection) C++14
23 / 100
1485 ms 71900 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;
			if(three != -1) {
				for(auto j : ind[i]) {
					ll cmp = C[j.s].f/new_R;
					if(one == cmp || two == cmp || three == cmp);
					else {
                      cout << "BRUHHH\n";
                      exit(0);
                    }
				}
			}
			// 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:122:24: warning: unused variable 'y' [-Wunused-variable]
   ll x = mp[C[i].f/R], y = C[i].s;
                        ^
# Verdict Execution time Memory Grader output
1 Correct 16 ms 14464 KB Output is correct
2 Correct 16 ms 14464 KB Output is correct
3 Correct 18 ms 14464 KB Output is correct
4 Correct 20 ms 14464 KB Output is correct
5 Correct 20 ms 14464 KB Output is correct
6 Correct 17 ms 14464 KB Output is correct
7 Correct 15 ms 14464 KB Output is correct
8 Correct 14 ms 14464 KB Output is correct
9 Correct 18 ms 14420 KB Output is correct
10 Correct 14 ms 14464 KB Output is correct
11 Correct 35 ms 14584 KB Output is correct
12 Correct 35 ms 14464 KB Output is correct
13 Correct 34 ms 14464 KB Output is correct
14 Correct 32 ms 14464 KB Output is correct
15 Correct 34 ms 14592 KB Output is correct
16 Correct 25 ms 14604 KB Output is correct
17 Correct 15 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 20 ms 14848 KB Output is correct
21 Correct 34 ms 15096 KB Output is correct
22 Correct 68 ms 15364 KB Output is correct
23 Correct 93 ms 15736 KB Output is correct
24 Incorrect 40 ms 15224 KB Output isn't correct
25 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 334 ms 46768 KB Output is correct
2 Correct 306 ms 45920 KB Output is correct
3 Correct 288 ms 39136 KB Output is correct
4 Correct 301 ms 45112 KB Output is correct
5 Incorrect 765 ms 71900 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 34 ms 14464 KB Output is correct
2 Incorrect 498 ms 35592 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 968 ms 42088 KB Output is correct
2 Correct 887 ms 53128 KB Output is correct
3 Correct 1485 ms 36960 KB Output is correct
4 Correct 975 ms 52116 KB Output is correct
5 Correct 1076 ms 52672 KB Output is correct
6 Correct 1256 ms 35616 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 14464 KB Output is correct
2 Correct 16 ms 14464 KB Output is correct
3 Correct 18 ms 14464 KB Output is correct
4 Correct 20 ms 14464 KB Output is correct
5 Correct 20 ms 14464 KB Output is correct
6 Correct 17 ms 14464 KB Output is correct
7 Correct 15 ms 14464 KB Output is correct
8 Correct 14 ms 14464 KB Output is correct
9 Correct 18 ms 14420 KB Output is correct
10 Correct 14 ms 14464 KB Output is correct
11 Correct 35 ms 14584 KB Output is correct
12 Correct 35 ms 14464 KB Output is correct
13 Correct 34 ms 14464 KB Output is correct
14 Correct 32 ms 14464 KB Output is correct
15 Correct 34 ms 14592 KB Output is correct
16 Correct 25 ms 14604 KB Output is correct
17 Correct 15 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 20 ms 14848 KB Output is correct
21 Correct 34 ms 15096 KB Output is correct
22 Correct 68 ms 15364 KB Output is correct
23 Correct 93 ms 15736 KB Output is correct
24 Incorrect 40 ms 15224 KB Output isn't correct
25 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 16 ms 14464 KB Output is correct
2 Correct 16 ms 14464 KB Output is correct
3 Correct 18 ms 14464 KB Output is correct
4 Correct 20 ms 14464 KB Output is correct
5 Correct 20 ms 14464 KB Output is correct
6 Correct 17 ms 14464 KB Output is correct
7 Correct 15 ms 14464 KB Output is correct
8 Correct 14 ms 14464 KB Output is correct
9 Correct 18 ms 14420 KB Output is correct
10 Correct 14 ms 14464 KB Output is correct
11 Correct 35 ms 14584 KB Output is correct
12 Correct 35 ms 14464 KB Output is correct
13 Correct 34 ms 14464 KB Output is correct
14 Correct 32 ms 14464 KB Output is correct
15 Correct 34 ms 14592 KB Output is correct
16 Correct 25 ms 14604 KB Output is correct
17 Correct 15 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 20 ms 14848 KB Output is correct
21 Correct 34 ms 15096 KB Output is correct
22 Correct 68 ms 15364 KB Output is correct
23 Correct 93 ms 15736 KB Output is correct
24 Incorrect 40 ms 15224 KB Output isn't correct
25 Halted 0 ms 0 KB -