oj.uz

Submission #109037

# Submission time Handle Problem Language Result Execution time Memory
109037 2019-05-04T05:32:08 Z ryansee Circle selection (APIO18_circle_selection) C++14
42 / 100
 3000 ms 53300 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;
vector<pi>ind[MAXN];
void split() {
	
}
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));
	}
	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 || 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();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(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';
                                      ^~~~
circle_selection.cpp: In function 'void st4()':
circle_selection.cpp:198:24: 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 8 ms 7424 KB Output is correct
2 Correct 10 ms 7424 KB Output is correct
3 Correct 10 ms 7424 KB Output is correct
4 Correct 10 ms 7424 KB Output is correct
5 Correct 10 ms 7424 KB Output is correct
6 Correct 11 ms 7424 KB Output is correct
7 Correct 9 ms 7424 KB Output is correct
8 Correct 10 ms 7424 KB Output is correct
9 Correct 8 ms 7424 KB Output is correct
10 Correct 10 ms 7424 KB Output is correct
11 Correct 9 ms 7424 KB Output is correct
12 Correct 10 ms 7424 KB Output is correct
13 Correct 10 ms 7424 KB Output is correct
14 Correct 10 ms 7472 KB Output is correct
15 Correct 10 ms 7424 KB Output is correct
16 Correct 13 ms 7424 KB Output is correct
17 Correct 10 ms 7552 KB Output is correct
18 Correct 12 ms 7552 KB Output is correct
19 Correct 16 ms 7808 KB Output is correct
20 Correct 16 ms 7808 KB Output is correct
21 Correct 16 ms 7808 KB Output is correct
22 Correct 17 ms 7936 KB Output is correct
23 Correct 17 ms 7808 KB Output is correct
24 Correct 15 ms 7936 KB Output is correct
25 Correct 16 ms 8064 KB Output is correct
26 Correct 16 ms 8064 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 287 ms 28712 KB Output is correct
2 Correct 250 ms 31572 KB Output is correct
3 Correct 274 ms 31968 KB Output is correct
4 Correct 253 ms 28684 KB Output is correct
5 Correct 336 ms 31328 KB Output is correct
6 Correct 709 ms 38116 KB Output is correct
7 Correct 350 ms 32660 KB Output is correct
8 Correct 399 ms 33428 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 7424 KB Output is correct
2 Correct 340 ms 15700 KB Output is correct
3 Correct 1585 ms 32448 KB Output is correct
4 Correct 1461 ms 32352 KB Output is correct
5 Execution timed out 3016 ms 28824 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 976 ms 35020 KB Output is correct
2 Correct 1030 ms 46164 KB Output is correct
3 Correct 1307 ms 29900 KB Output is correct
4 Correct 944 ms 52448 KB Output is correct
5 Correct 975 ms 53300 KB Output is correct
6 Correct 1396 ms 37088 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7424 KB Output is correct
2 Correct 10 ms 7424 KB Output is correct
3 Correct 10 ms 7424 KB Output is correct
4 Correct 10 ms 7424 KB Output is correct
5 Correct 10 ms 7424 KB Output is correct
6 Correct 11 ms 7424 KB Output is correct
7 Correct 9 ms 7424 KB Output is correct
8 Correct 10 ms 7424 KB Output is correct
9 Correct 8 ms 7424 KB Output is correct
10 Correct 10 ms 7424 KB Output is correct
11 Correct 9 ms 7424 KB Output is correct
12 Correct 10 ms 7424 KB Output is correct
13 Correct 10 ms 7424 KB Output is correct
14 Correct 10 ms 7472 KB Output is correct
15 Correct 10 ms 7424 KB Output is correct
16 Correct 13 ms 7424 KB Output is correct
17 Correct 10 ms 7552 KB Output is correct
18 Correct 12 ms 7552 KB Output is correct
19 Correct 16 ms 7808 KB Output is correct
20 Correct 16 ms 7808 KB Output is correct
21 Correct 16 ms 7808 KB Output is correct
22 Correct 17 ms 7936 KB Output is correct
23 Correct 17 ms 7808 KB Output is correct
24 Correct 15 ms 7936 KB Output is correct
25 Correct 16 ms 8064 KB Output is correct
26 Correct 16 ms 8064 KB Output is correct
27 Correct 16 ms 8320 KB Output is correct
28 Correct 20 ms 8192 KB Output is correct
29 Correct 19 ms 8240 KB Output is correct
30 Correct 22 ms 8320 KB Output is correct
31 Correct 29 ms 8448 KB Output is correct
32 Correct 20 ms 8448 KB Output is correct
33 Correct 113 ms 14544 KB Output is correct
34 Correct 109 ms 15120 KB Output is correct
35 Correct 124 ms 15500 KB Output is correct
36 Correct 252 ms 17136 KB Output is correct
37 Correct 272 ms 17044 KB Output is correct
38 Correct 261 ms 16368 KB Output is correct
39 Execution timed out 3086 ms 14016 KB Time limit exceeded
40 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7424 KB Output is correct
2 Correct 10 ms 7424 KB Output is correct
3 Correct 10 ms 7424 KB Output is correct
4 Correct 10 ms 7424 KB Output is correct
5 Correct 10 ms 7424 KB Output is correct
6 Correct 11 ms 7424 KB Output is correct
7 Correct 9 ms 7424 KB Output is correct
8 Correct 10 ms 7424 KB Output is correct
9 Correct 8 ms 7424 KB Output is correct
10 Correct 10 ms 7424 KB Output is correct
11 Correct 9 ms 7424 KB Output is correct
12 Correct 10 ms 7424 KB Output is correct
13 Correct 10 ms 7424 KB Output is correct
14 Correct 10 ms 7472 KB Output is correct
15 Correct 10 ms 7424 KB Output is correct
16 Correct 13 ms 7424 KB Output is correct
17 Correct 10 ms 7552 KB Output is correct
18 Correct 12 ms 7552 KB Output is correct
19 Correct 16 ms 7808 KB Output is correct
20 Correct 16 ms 7808 KB Output is correct
21 Correct 16 ms 7808 KB Output is correct
22 Correct 17 ms 7936 KB Output is correct
23 Correct 17 ms 7808 KB Output is correct
24 Correct 15 ms 7936 KB Output is correct
25 Correct 16 ms 8064 KB Output is correct
26 Correct 16 ms 8064 KB Output is correct
27 Correct 287 ms 28712 KB Output is correct
28 Correct 250 ms 31572 KB Output is correct
29 Correct 274 ms 31968 KB Output is correct
30 Correct 253 ms 28684 KB Output is correct
31 Correct 336 ms 31328 KB Output is correct
32 Correct 709 ms 38116 KB Output is correct
33 Correct 350 ms 32660 KB Output is correct
34 Correct 399 ms 33428 KB Output is correct
35 Correct 10 ms 7424 KB Output is correct
36 Correct 340 ms 15700 KB Output is correct
37 Correct 1585 ms 32448 KB Output is correct
38 Correct 1461 ms 32352 KB Output is correct
39 Execution timed out 3016 ms 28824 KB Time limit exceeded
40 Halted 0 ms 0 KB -