oj.uz

Submission #109025

# Submission time Handle Problem Language Result Execution time Memory
109025 2019-05-04T04:53:50 Z ryansee Circle selection (APIO18_circle_selection) C++14
7 / 100
 3000 ms 62688 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)) ); }
string st1() {
	sort(A,A+n, [] (pi x, pi y) { if(x.f!=y.f) return x.f > y.f; else return x.s < y.s; } );
	FOR(ii,0,n) {
		ll i = A[ii].s;
		ll r = A[ii].f; 
		if(done[i]) continue;
		ans[i] = i;
		FOR(j,ii+1,n) {
			if(!done[A[j].s] && mdist(C[i].f,C[i].s,C[A[j].s].f,C[A[j].s].s) <= (ld)r + (ld)A[j].f) {
				done[A[j].s] = 1;
				ans[A[j].s] = i;
			}
		}
	}
	FOR(i,0,n) cout << ans[i] + 1 << ' '; cout << '\n';
	string s = ""; FOR(i,0,n) s += to_string(ans[i]+1); return s;
}
string st2() {
	sort(A,A+n, [] (pi x, pi y) { if(x.f!=y.f) return x.f > y.f; else return x.s < y.s; } );
	mmst(ans,0);
	multiset <pi> ms_smol,ms_big; // x-coord, radius, index
	FOR(i,0,n) {
		ms_smol.ins(pi(C[A[i].s].f+A[i].f, i));
		ms_big.ins(pi(C[A[i].s].f-A[i].f, i));
	}
	FOR(i,0,n) {
		if(ms_smol.find(pi(C[A[i].s].f+A[i].f, i)) == ms_smol.end()) { continue; }
		while(1) {
			auto itrrr = ms_big.find(pi(C[A[i].s].f-A[i].f, i));
			auto itr2 = next(itrrr);
			if(itr2==ms_big.end()) break;
			if(C[A[i].s].f + A[i].f >= itr2->f) { ans[A[itr2->s].s] = A[i].s; ms_smol.erase(ms_smol.find(pi(C[A[itr2->s].s].f+A[itr2->s].f, itr2->s))); ms_big.erase(itr2); }
			else break;
		}
		while(1) {
			auto itrrr = ms_smol.find(pi(C[A[i].s].f+A[i].f, i)); if(itrrr==ms_smol.begin()) break;
			auto itr2 = prev(itrrr);
			if(C[A[i].s].f - A[i].f <= itr2->f) { ans[A[itr2->s].s] = A[i].s; ms_smol.erase(itr2); ms_big.erase(ms_big.find(pi(C[A[itr2->s].s].f-A[itr2->s].f, itr2->s))); }
			else break;
		}
		ms_smol.erase(ms_smol.find(pi(C[A[i].s].f+A[i].f,i)));
		ms_big.erase(ms_big.find(pi(C[A[i].s].f-A[i].f,i)));
		ans[A[i].s] = A[i].s;
	}
	FOR(i,0,n) cout << ans[i]+1 << ' '; cout << '\n';
	string s = ""; FOR(i,0,n) s += to_string(ans[i]+1); return s;
}
// ll mdist(ll a, ll b, ll c, ll d) { return llabs(a-c)+llabs(b-d); }
void st3() {
	vector<ll>inter(n,0); vector<bool>re(n,0); set <pi> ms;
	vector <pi> events;
	FOR(i,0,n) events.pb(pi(C[i].s-A[i].f,i)), events.pb(pi(C[i].s+A[i].f,-i-1));
	sort(all(events), [] (pi x, pi y) { if(x.f != y.f) return x.f < y.f; else return x.s > y.s; } );
	for(auto j : events) {
		ll i = j.s;
		if(i>=0) { ll r = A[i].f; ll x = C[i].f;
			bool in = 1; pi near = pi(LLINF, LLINF);
			if(!ms.empty()) {
				// pi near = LLINF;
				auto itr = ms.lower_bound(pi(x,0));
				if(itr != ms.end()) near = min(near, pi(mdist(C[itr->s].f,C[itr->s].s, C[i].f, C[i].s)-(ld)A[itr->s].f, itr->s));
				if(itr != ms.begin()) { --itr; near = min(near, pi(mdist(C[itr->s].f,C[itr->s].s, C[i].f, C[i].s)-(ld)A[itr->s].f, itr->s)); }
			    assert(near.f != LLINF); 
				if(near.f-EPS <= (ld)r) in = 0;
			}
			if(in) {
				ms.ins(pi(x,i)); re[i] = 1;
			} else {
				re[i] = 0; assert(re[near.s]);
				assert((ms.find(pi(C[near.s].f, near.s))!=ms.end()));
				// assert(ms.find(pi(C[near.s].f+A[near.s].f, near.s))!=ms.end());
				ms.erase(ms.find(pi(C[near.s].f, near.s)));
				// ms.erase(ms.find(pi(C[near.s].f+A[near.s].f, near.s)));
				re[near.s] = 0;
				inter[i] = near.s;
				inter[near.s] = i;
			}
		} else {
			i = -i-1; if(re[i] == 0) continue;
			ll r = A[i].f; ll x = C[i].f;
			ms.erase(ms.find(pi(x,i)));
//  			bool in = 1; pi near = pi(LLINF, LLINF);
// 			if(!ms.empty()) {
// 				// pi near = LLINF;
// 				auto itr = ms.lower_bound(pi(x,0));
// 				if(itr != ms.end()) near = min(near, pi(mdist(C[itr->s].f,C[itr->s].s, C[i].f, C[i].s)-(ld)A[itr->s].f, itr->s));
// 				if(itr != ms.begin()) { --itr; near = min(near, pi(mdist(C[itr->s].f,C[itr->s].s, C[i].f, C[i].s)-(ld)A[itr->s].f, itr->s)); }
// 			    assert(near.f != LLINF); 
// 				if(near.f-EPS <= (ld)r) in = 0;
// 			}
// 			if(!in) {
// 				re[i] = 0; assert(re[near.s]);
// 				assert((ms.find(pi(C[near.s].f, near.s))!=ms.end()));
// 				// assert(ms.find(pi(C[near.s].f+A[near.s].f, near.s))!=ms.end());
// 				ms.erase(ms.find(pi(C[near.s].f, near.s)));
// 				// ms.erase(ms.find(pi(C[near.s].f+A[near.s].f, near.s)));
// 				re[near.s] = 0;
// 				inter[i] = near.s;
// 				inter[near.s] = i;
// 			}
            auto itr = ms.lower_bound(pi(x,0));
            if(itr != ms.end()) assert(itr->f > x);
            if(itr != ms.begin() && itr != ms.end()) {
                ll a = prev(itr)->s, b = itr->s;
                if(mdist(C[a].f,C[a].s,C[b].f,C[b].s) <= (ld)A[a].f + (ld)A[b].f){
                    re[a] = re[b] = 0;
                    inter[a] = b;
                    inter[b] = a;
                    itr=ms.erase(prev(itr));
                    ms.erase(itr);
                }
            }
		}
	}
	FOR(i,0,n) ans[i] = i;
	FOR(i,0,n) if(!re[i]&&(A[inter[i]].f>A[i].f||(A[inter[i]].f==A[i].f&&inter[i]<i))) { ans[i] = inter[i]; } 
	FOR(i,0,n) cout << ans[i]+1 << ' '; cout<<'\n';
}
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;
set<pi>ind[MAXN];
void split() {
	mp.clear();
	FOR(i,0,siz(d)) ind[i].clear();
	d.clear();
	R /= 2;
	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]].ins(pi(C[i].s, i));
	return;
}
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]].ins(pi(C[i].s,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;
		ind[x].erase(ind[x].find(pi(y,i)));
		ll ii = i;
		FOR(i,x-magic/2,x+magic/2+1) {
			if(i <= 0 || i > siz(d) )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();) {
				if(inter(ii,j->s)) { j=ind[i].erase(j); }
				else ++j;
			}
		}
	}
	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(st1() != st2()) {
		
		// cerr << n << '\n';
		// for(auto i : in) cerr << i.f << ' ' << i.s << '\n';
		// assert(0);
	// }
	// assert(st1() == st2());
	if(n <= 5000&&0) {
		st1();
	} else if(s2&&0) {
		st2();
	} else if(s4||1) { // becos i edited editorial solution here (the AC solution)
		st4();
	}else { 
		st3();
	}
}
// 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 'std::__cxx11::string st1()':
circle_selection.cpp:19:25: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
 #define FOR(ii, ss, ee) for(ll ii = ss; ii < ee; ++ii)
                         ^
circle_selection.cpp:55:2: note: in expansion of macro 'FOR'
  FOR(i,0,n) cout << ans[i] + 1 << ' '; cout << '\n';
  ^~~
circle_selection.cpp:55:40: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  FOR(i,0,n) cout << ans[i] + 1 << ' '; cout << '\n';
                                        ^~~~
circle_selection.cpp: In function 'std::__cxx11::string st2()':
circle_selection.cpp:19:25: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
 #define FOR(ii, ss, ee) for(ll ii = ss; ii < ee; ++ii)
                         ^
circle_selection.cpp:85:2: note: in expansion of macro 'FOR'
  FOR(i,0,n) cout << ans[i]+1 << ' '; cout << '\n';
  ^~~
circle_selection.cpp:85:38: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  FOR(i,0,n) cout << ans[i]+1 << ' '; cout << '\n';
                                      ^~~~
circle_selection.cpp: In function 'void st3()':
circle_selection.cpp:120:7: warning: unused variable 'r' [-Wunused-variable]
    ll r = A[i].f; ll x = C[i].f;
       ^
circle_selection.cpp:19:25: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
 #define FOR(ii, ss, ee) for(ll ii = ss; ii < ee; ++ii)
                         ^
circle_selection.cpp:157:2: note: in expansion of macro 'FOR'
  FOR(i,0,n) cout << ans[i]+1 << ' '; cout<<'\n';
  ^~~
circle_selection.cpp:157:38: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  FOR(i,0,n) cout << ans[i]+1 << ' '; cout<<'\n';
                                      ^~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 14464 KB Output is correct
2 Correct 17 ms 14464 KB Output is correct
3 Correct 15 ms 14464 KB Output is correct
4 Correct 14 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 16 ms 14464 KB Output is correct
7 Correct 18 ms 14464 KB Output is correct
8 Correct 17 ms 14464 KB Output is correct
9 Correct 18 ms 14464 KB Output is correct
10 Correct 16 ms 14464 KB Output is correct
11 Correct 17 ms 14464 KB Output is correct
12 Correct 17 ms 14464 KB Output is correct
13 Correct 17 ms 14720 KB Output is correct
14 Correct 17 ms 14464 KB Output is correct
15 Correct 16 ms 14464 KB Output is correct
16 Correct 24 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 22 ms 15104 KB Output is correct
20 Correct 22 ms 15024 KB Output is correct
21 Correct 27 ms 14976 KB Output is correct
22 Correct 53 ms 15232 KB Output is correct
23 Correct 52 ms 15224 KB Output is correct
24 Correct 42 ms 15224 KB Output is correct
25 Correct 38 ms 15232 KB Output is correct
26 Correct 36 ms 15232 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 379 ms 50040 KB Output is correct
2 Correct 421 ms 49820 KB Output is correct
3 Correct 337 ms 49632 KB Output is correct
4 Correct 402 ms 49968 KB Output is correct
5 Correct 2680 ms 54740 KB Output is correct
6 Execution timed out 3007 ms 62508 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 14464 KB Output is correct
2 Correct 2849 ms 30380 KB Output is correct
3 Execution timed out 3047 ms 49684 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1358 ms 53216 KB Output is correct
2 Correct 987 ms 62688 KB Output is correct
3 Execution timed out 3045 ms 47920 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 14464 KB Output is correct
2 Correct 17 ms 14464 KB Output is correct
3 Correct 15 ms 14464 KB Output is correct
4 Correct 14 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 16 ms 14464 KB Output is correct
7 Correct 18 ms 14464 KB Output is correct
8 Correct 17 ms 14464 KB Output is correct
9 Correct 18 ms 14464 KB Output is correct
10 Correct 16 ms 14464 KB Output is correct
11 Correct 17 ms 14464 KB Output is correct
12 Correct 17 ms 14464 KB Output is correct
13 Correct 17 ms 14720 KB Output is correct
14 Correct 17 ms 14464 KB Output is correct
15 Correct 16 ms 14464 KB Output is correct
16 Correct 24 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 22 ms 15104 KB Output is correct
20 Correct 22 ms 15024 KB Output is correct
21 Correct 27 ms 14976 KB Output is correct
22 Correct 53 ms 15232 KB Output is correct
23 Correct 52 ms 15224 KB Output is correct
24 Correct 42 ms 15224 KB Output is correct
25 Correct 38 ms 15232 KB Output is correct
26 Correct 36 ms 15232 KB Output is correct
27 Correct 48 ms 15768 KB Output is correct
28 Correct 26 ms 15864 KB Output is correct
29 Correct 31 ms 15864 KB Output is correct
30 Correct 82 ms 16248 KB Output is correct
31 Correct 114 ms 16220 KB Output is correct
32 Correct 145 ms 16272 KB Output is correct
33 Correct 189 ms 26472 KB Output is correct
34 Correct 204 ms 26348 KB Output is correct
35 Correct 1267 ms 27136 KB Output is correct
36 Correct 1639 ms 30320 KB Output is correct
37 Correct 1710 ms 30188 KB Output is correct
38 Correct 2102 ms 30192 KB Output is correct
39 Execution timed out 3086 ms 25608 KB Time limit exceeded
40 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 17 ms 14464 KB Output is correct
3 Correct 15 ms 14464 KB Output is correct
4 Correct 14 ms 14464 KB Output is correct
5 Correct 17 ms 14464 KB Output is correct
6 Correct 16 ms 14464 KB Output is correct
7 Correct 18 ms 14464 KB Output is correct
8 Correct 17 ms 14464 KB Output is correct
9 Correct 18 ms 14464 KB Output is correct
10 Correct 16 ms 14464 KB Output is correct
11 Correct 17 ms 14464 KB Output is correct
12 Correct 17 ms 14464 KB Output is correct
13 Correct 17 ms 14720 KB Output is correct
14 Correct 17 ms 14464 KB Output is correct
15 Correct 16 ms 14464 KB Output is correct
16 Correct 24 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 22 ms 15104 KB Output is correct
20 Correct 22 ms 15024 KB Output is correct
21 Correct 27 ms 14976 KB Output is correct
22 Correct 53 ms 15232 KB Output is correct
23 Correct 52 ms 15224 KB Output is correct
24 Correct 42 ms 15224 KB Output is correct
25 Correct 38 ms 15232 KB Output is correct
26 Correct 36 ms 15232 KB Output is correct
27 Correct 379 ms 50040 KB Output is correct
28 Correct 421 ms 49820 KB Output is correct
29 Correct 337 ms 49632 KB Output is correct
30 Correct 402 ms 49968 KB Output is correct
31 Correct 2680 ms 54740 KB Output is correct
32 Execution timed out 3007 ms 62508 KB Time limit exceeded
33 Halted 0 ms 0 KB -