oj.uz

Submission #109026

# Submission time Handle Problem Language Result Execution time Memory
109026 2019-05-04T04:54:23 Z ryansee Circle selection (APIO18_circle_selection) C++14
7 / 100
 3000 ms 62604 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)+1) 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 14 ms 14464 KB Output is correct
2 Correct 14 ms 14464 KB Output is correct
3 Correct 14 ms 14424 KB Output is correct
4 Correct 17 ms 14464 KB Output is correct
5 Correct 14 ms 14464 KB Output is correct
6 Correct 16 ms 14464 KB Output is correct
7 Correct 14 ms 14464 KB Output is correct
8 Correct 16 ms 14464 KB Output is correct
9 Correct 17 ms 14464 KB Output is correct
10 Correct 21 ms 14420 KB Output is correct
11 Correct 17 ms 14464 KB Output is correct
12 Correct 15 ms 14464 KB Output is correct
13 Correct 16 ms 14464 KB Output is correct
14 Correct 16 ms 14464 KB Output is correct
15 Correct 16 ms 14464 KB Output is correct
16 Correct 18 ms 14592 KB Output is correct
17 Correct 18 ms 14592 KB Output is correct
18 Correct 19 ms 14592 KB Output is correct
19 Correct 18 ms 14976 KB Output is correct
20 Correct 19 ms 14976 KB Output is correct
21 Correct 25 ms 14976 KB Output is correct
22 Correct 41 ms 15232 KB Output is correct
23 Correct 43 ms 15196 KB Output is correct
24 Correct 63 ms 15224 KB Output is correct
25 Correct 38 ms 15280 KB Output is correct
26 Correct 41 ms 15304 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 469 ms 49624 KB Output is correct
2 Correct 463 ms 49888 KB Output is correct
3 Correct 318 ms 49628 KB Output is correct
4 Correct 377 ms 49816 KB Output is correct
5 Correct 2588 ms 54732 KB Output is correct
6 Execution timed out 3078 ms 62308 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 14464 KB Output is correct
2 Correct 2392 ms 30196 KB Output is correct
3 Execution timed out 3012 ms 49356 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1273 ms 53244 KB Output is correct
2 Correct 1037 ms 62604 KB Output is correct
3 Execution timed out 3035 ms 47756 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14464 KB Output is correct
2 Correct 14 ms 14464 KB Output is correct
3 Correct 14 ms 14424 KB Output is correct
4 Correct 17 ms 14464 KB Output is correct
5 Correct 14 ms 14464 KB Output is correct
6 Correct 16 ms 14464 KB Output is correct
7 Correct 14 ms 14464 KB Output is correct
8 Correct 16 ms 14464 KB Output is correct
9 Correct 17 ms 14464 KB Output is correct
10 Correct 21 ms 14420 KB Output is correct
11 Correct 17 ms 14464 KB Output is correct
12 Correct 15 ms 14464 KB Output is correct
13 Correct 16 ms 14464 KB Output is correct
14 Correct 16 ms 14464 KB Output is correct
15 Correct 16 ms 14464 KB Output is correct
16 Correct 18 ms 14592 KB Output is correct
17 Correct 18 ms 14592 KB Output is correct
18 Correct 19 ms 14592 KB Output is correct
19 Correct 18 ms 14976 KB Output is correct
20 Correct 19 ms 14976 KB Output is correct
21 Correct 25 ms 14976 KB Output is correct
22 Correct 41 ms 15232 KB Output is correct
23 Correct 43 ms 15196 KB Output is correct
24 Correct 63 ms 15224 KB Output is correct
25 Correct 38 ms 15280 KB Output is correct
26 Correct 41 ms 15304 KB Output is correct
27 Correct 46 ms 15736 KB Output is correct
28 Correct 44 ms 15608 KB Output is correct
29 Correct 28 ms 15608 KB Output is correct
30 Correct 70 ms 15992 KB Output is correct
31 Correct 71 ms 15992 KB Output is correct
32 Correct 75 ms 15992 KB Output is correct
33 Correct 168 ms 26340 KB Output is correct
34 Correct 185 ms 26220 KB Output is correct
35 Correct 1333 ms 27120 KB Output is correct
36 Correct 1657 ms 30256 KB Output is correct
37 Correct 1678 ms 30292 KB Output is correct
38 Correct 2092 ms 30308 KB Output is correct
39 Execution timed out 3092 ms 25224 KB Time limit exceeded
40 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 14464 KB Output is correct
2 Correct 14 ms 14464 KB Output is correct
3 Correct 14 ms 14424 KB Output is correct
4 Correct 17 ms 14464 KB Output is correct
5 Correct 14 ms 14464 KB Output is correct
6 Correct 16 ms 14464 KB Output is correct
7 Correct 14 ms 14464 KB Output is correct
8 Correct 16 ms 14464 KB Output is correct
9 Correct 17 ms 14464 KB Output is correct
10 Correct 21 ms 14420 KB Output is correct
11 Correct 17 ms 14464 KB Output is correct
12 Correct 15 ms 14464 KB Output is correct
13 Correct 16 ms 14464 KB Output is correct
14 Correct 16 ms 14464 KB Output is correct
15 Correct 16 ms 14464 KB Output is correct
16 Correct 18 ms 14592 KB Output is correct
17 Correct 18 ms 14592 KB Output is correct
18 Correct 19 ms 14592 KB Output is correct
19 Correct 18 ms 14976 KB Output is correct
20 Correct 19 ms 14976 KB Output is correct
21 Correct 25 ms 14976 KB Output is correct
22 Correct 41 ms 15232 KB Output is correct
23 Correct 43 ms 15196 KB Output is correct
24 Correct 63 ms 15224 KB Output is correct
25 Correct 38 ms 15280 KB Output is correct
26 Correct 41 ms 15304 KB Output is correct
27 Correct 469 ms 49624 KB Output is correct
28 Correct 463 ms 49888 KB Output is correct
29 Correct 318 ms 49628 KB Output is correct
30 Correct 377 ms 49816 KB Output is correct
31 Correct 2588 ms 54732 KB Output is correct
32 Execution timed out 3078 ms 62308 KB Time limit exceeded
33 Halted 0 ms 0 KB -