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Submission #109061

# Submission time Handle Problem Language Result Execution time Memory
109061 2019-05-04T07:20:53 Z ryansee Circle selection (APIO18_circle_selection) C++14
23 / 100
 1761 ms 111240 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, ll> mp;
vector <ll> d;
vector<pi>ind[MAXN],tmp[MAXN];
ll 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()) { assert(0); 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 = -LLINF;
			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 != -LLINF) {
				// for(auto j : ind[i]) {
					// cer
					// ll cmp = C[j.s].f/new_R;
					// if(one == cmp || two == cmp || three == cmp);
					// else {
						// cout << "BRUHHH\n";						
						// exit(0);
					// }
				// }
			// }
			// cerr << "1,2,3: " << one << ' ' << two << ' ' << three << '\n';
			if(one == two) { // 1
				assert(three==-LLINF);
				if(mp[one]==0)mp[one] = co ++;
			} else if(three == -LLINF) { // 2
				if(mp[one]==0)mp[one] = co ++;
				if(mp[two]==0)mp[two] = co++;
			} else { // 3
				swap(two,three);
				if(mp[one]==0)mp[one] = co ++;
				if(mp[two]==0)mp[two] = co ++;
				if(mp[three]==0)mp[three] = co ++;
			}
			assert(co+3 < MAXN);
			for(auto j : ind[i]) {
				// cerr << C[j.s].f << ' ' << new_R << ' ' << C[j.s].f/new_R << ' ' << C[j.s].f/R << '\n';
					tmp[mp[C[j.s].f/new_R]].pb(j);
			}
			// cerr << '\n' << '\n';
		}
	}
	R=new_R; latest = co-1;
			assert(co < MAXN);
	FOR(i,0,MAXN) ind[i]=tmp[i];
	ll p = -LLINF;
	FOR(i,1,latest+1) {
		// assert(ind[i].size());
		ll hmm = C[ind[i][0].s].f/R;
		// for(auto j : ind[i]) if(hmm != C[j.s].f/R) assert(0);
		assert(hmm > p);
		p = hmm;
	}
}
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));
		C[i].f+=1e9;
		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:139:24: 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 16 ms 14464 KB Output is correct
3 Correct 20 ms 14464 KB Output is correct
4 Correct 18 ms 14464 KB Output is correct
5 Correct 15 ms 14464 KB Output is correct
6 Correct 17 ms 14464 KB Output is correct
7 Correct 18 ms 14464 KB Output is correct
8 Correct 16 ms 14464 KB Output is correct
9 Correct 22 ms 14464 KB Output is correct
10 Correct 17 ms 14464 KB Output is correct
11 Correct 34 ms 14584 KB Output is correct
12 Correct 31 ms 14464 KB Output is correct
13 Correct 33 ms 14464 KB Output is correct
14 Correct 34 ms 14464 KB Output is correct
15 Correct 37 ms 14592 KB Output is correct
16 Correct 34 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 16 ms 14528 KB Output is correct
19 Correct 20 ms 14848 KB Output is correct
20 Correct 25 ms 14848 KB Output is correct
21 Correct 33 ms 15224 KB Output is correct
22 Runtime error 48 ms 30456 KB Execution killed with signal 11 (could be triggered by violating memory limits)
23 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 319 ms 44088 KB Output is correct
2 Correct 302 ms 44256 KB Output is correct
3 Correct 276 ms 39392 KB Output is correct
4 Correct 278 ms 43876 KB Output is correct
5 Correct 800 ms 71400 KB Output is correct
6 Runtime error 835 ms 111240 KB Execution killed with signal 11 (could be triggered by violating memory limits)
7 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 14464 KB Output is correct
2 Runtime error 708 ms 71596 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 994 ms 42248 KB Output is correct
2 Correct 1103 ms 53312 KB Output is correct
3 Correct 1761 ms 37208 KB Output is correct
4 Correct 973 ms 52092 KB Output is correct
5 Correct 983 ms 52704 KB Output is correct
6 Correct 1442 ms 35808 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 16 ms 14464 KB Output is correct
3 Correct 20 ms 14464 KB Output is correct
4 Correct 18 ms 14464 KB Output is correct
5 Correct 15 ms 14464 KB Output is correct
6 Correct 17 ms 14464 KB Output is correct
7 Correct 18 ms 14464 KB Output is correct
8 Correct 16 ms 14464 KB Output is correct
9 Correct 22 ms 14464 KB Output is correct
10 Correct 17 ms 14464 KB Output is correct
11 Correct 34 ms 14584 KB Output is correct
12 Correct 31 ms 14464 KB Output is correct
13 Correct 33 ms 14464 KB Output is correct
14 Correct 34 ms 14464 KB Output is correct
15 Correct 37 ms 14592 KB Output is correct
16 Correct 34 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 16 ms 14528 KB Output is correct
19 Correct 20 ms 14848 KB Output is correct
20 Correct 25 ms 14848 KB Output is correct
21 Correct 33 ms 15224 KB Output is correct
22 Runtime error 48 ms 30456 KB Execution killed with signal 11 (could be triggered by violating memory limits)
23 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 16 ms 14464 KB Output is correct
3 Correct 20 ms 14464 KB Output is correct
4 Correct 18 ms 14464 KB Output is correct
5 Correct 15 ms 14464 KB Output is correct
6 Correct 17 ms 14464 KB Output is correct
7 Correct 18 ms 14464 KB Output is correct
8 Correct 16 ms 14464 KB Output is correct
9 Correct 22 ms 14464 KB Output is correct
10 Correct 17 ms 14464 KB Output is correct
11 Correct 34 ms 14584 KB Output is correct
12 Correct 31 ms 14464 KB Output is correct
13 Correct 33 ms 14464 KB Output is correct
14 Correct 34 ms 14464 KB Output is correct
15 Correct 37 ms 14592 KB Output is correct
16 Correct 34 ms 14592 KB Output is correct
17 Correct 17 ms 14592 KB Output is correct
18 Correct 16 ms 14528 KB Output is correct
19 Correct 20 ms 14848 KB Output is correct
20 Correct 25 ms 14848 KB Output is correct
21 Correct 33 ms 15224 KB Output is correct
22 Runtime error 48 ms 30456 KB Execution killed with signal 11 (could be triggered by violating memory limits)
23 Halted 0 ms 0 KB -