oj.uz

Submission #109079

# Submission time Handle Problem Language Result Execution time Memory
109079 2019-05-04T07:57:13 Z ryansee Circle selection (APIO18_circle_selection) C++14
72 / 100
 3000 ms 97600 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, int> 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
inline 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;
}
struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
 
    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};
unordered_map <int, int, custom_hash> mp;
vector <int> d;
vector<pi>ind[MAXN],tmp[MAXN];
int latest = 0;
int at[MAXN];
void split() { 
	FOR(i,0,latest+1) 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) { if(mp[C[ind[i][0].s].f/new_R] == 0) mp[C[ind[i][0].s].f/new_R] = co++; tmp[mp[C[ind[i][0].s].f/new_R]].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,latest+1) 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)); at[i] = mp[C[i].f/R];
		latest = max(latest, at[i]);
	}
	// 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||i>latest)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:152:24: 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 18 ms 14464 KB Output is correct
2 Correct 16 ms 14376 KB Output is correct
3 Correct 15 ms 14464 KB Output is correct
4 Correct 19 ms 14464 KB Output is correct
5 Correct 15 ms 14592 KB Output is correct
6 Correct 15 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 16 ms 14464 KB Output is correct
10 Correct 16 ms 14464 KB Output is correct
11 Correct 15 ms 14464 KB Output is correct
12 Correct 16 ms 14464 KB Output is correct
13 Correct 17 ms 14464 KB Output is correct
14 Correct 15 ms 14464 KB Output is correct
15 Correct 15 ms 14592 KB Output is correct
16 Correct 16 ms 14592 KB Output is correct
17 Correct 15 ms 14592 KB Output is correct
18 Correct 17 ms 14592 KB Output is correct
19 Correct 17 ms 14848 KB Output is correct
20 Correct 20 ms 14848 KB Output is correct
21 Correct 20 ms 15232 KB Output is correct
22 Correct 33 ms 15384 KB Output is correct
23 Correct 33 ms 15696 KB Output is correct
24 Correct 34 ms 15352 KB Output is correct
25 Correct 37 ms 15352 KB Output is correct
26 Correct 32 ms 15360 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 289 ms 44124 KB Output is correct
2 Correct 325 ms 43192 KB Output is correct
3 Correct 262 ms 39532 KB Output is correct
4 Correct 257 ms 43748 KB Output is correct
5 Correct 772 ms 71352 KB Output is correct
6 Correct 2212 ms 70160 KB Output is correct
7 Correct 1591 ms 84896 KB Output is correct
8 Correct 1500 ms 77912 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 14464 KB Output is correct
2 Correct 1418 ms 38712 KB Output is correct
3 Execution timed out 3020 ms 83776 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1010 ms 42168 KB Output is correct
2 Correct 1088 ms 52972 KB Output is correct
3 Correct 1202 ms 37224 KB Output is correct
4 Correct 1036 ms 52272 KB Output is correct
5 Correct 1032 ms 52660 KB Output is correct
6 Correct 1082 ms 35628 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 14464 KB Output is correct
2 Correct 16 ms 14376 KB Output is correct
3 Correct 15 ms 14464 KB Output is correct
4 Correct 19 ms 14464 KB Output is correct
5 Correct 15 ms 14592 KB Output is correct
6 Correct 15 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 16 ms 14464 KB Output is correct
10 Correct 16 ms 14464 KB Output is correct
11 Correct 15 ms 14464 KB Output is correct
12 Correct 16 ms 14464 KB Output is correct
13 Correct 17 ms 14464 KB Output is correct
14 Correct 15 ms 14464 KB Output is correct
15 Correct 15 ms 14592 KB Output is correct
16 Correct 16 ms 14592 KB Output is correct
17 Correct 15 ms 14592 KB Output is correct
18 Correct 17 ms 14592 KB Output is correct
19 Correct 17 ms 14848 KB Output is correct
20 Correct 20 ms 14848 KB Output is correct
21 Correct 20 ms 15232 KB Output is correct
22 Correct 33 ms 15384 KB Output is correct
23 Correct 33 ms 15696 KB Output is correct
24 Correct 34 ms 15352 KB Output is correct
25 Correct 37 ms 15352 KB Output is correct
26 Correct 32 ms 15360 KB Output is correct
27 Correct 31 ms 16376 KB Output is correct
28 Correct 26 ms 15380 KB Output is correct
29 Correct 25 ms 15456 KB Output is correct
30 Correct 64 ms 16632 KB Output is correct
31 Correct 57 ms 16220 KB Output is correct
32 Correct 62 ms 16248 KB Output is correct
33 Correct 96 ms 21584 KB Output is correct
34 Correct 91 ms 21816 KB Output is correct
35 Correct 344 ms 48256 KB Output is correct
36 Correct 1379 ms 33696 KB Output is correct
37 Correct 1222 ms 33844 KB Output is correct
38 Correct 1320 ms 35228 KB Output is correct
39 Correct 1134 ms 97600 KB Output is correct
40 Correct 977 ms 90424 KB Output is correct
41 Correct 840 ms 92788 KB Output is correct
42 Correct 363 ms 22516 KB Output is correct
43 Correct 266 ms 26836 KB Output is correct
44 Correct 292 ms 26832 KB Output is correct
45 Correct 264 ms 26912 KB Output is correct
46 Correct 261 ms 26836 KB Output is correct
47 Correct 261 ms 26836 KB Output is correct
48 Correct 288 ms 26836 KB Output is correct
49 Correct 290 ms 26836 KB Output is correct
50 Correct 317 ms 26836 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 14464 KB Output is correct
2 Correct 16 ms 14376 KB Output is correct
3 Correct 15 ms 14464 KB Output is correct
4 Correct 19 ms 14464 KB Output is correct
5 Correct 15 ms 14592 KB Output is correct
6 Correct 15 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 16 ms 14464 KB Output is correct
10 Correct 16 ms 14464 KB Output is correct
11 Correct 15 ms 14464 KB Output is correct
12 Correct 16 ms 14464 KB Output is correct
13 Correct 17 ms 14464 KB Output is correct
14 Correct 15 ms 14464 KB Output is correct
15 Correct 15 ms 14592 KB Output is correct
16 Correct 16 ms 14592 KB Output is correct
17 Correct 15 ms 14592 KB Output is correct
18 Correct 17 ms 14592 KB Output is correct
19 Correct 17 ms 14848 KB Output is correct
20 Correct 20 ms 14848 KB Output is correct
21 Correct 20 ms 15232 KB Output is correct
22 Correct 33 ms 15384 KB Output is correct
23 Correct 33 ms 15696 KB Output is correct
24 Correct 34 ms 15352 KB Output is correct
25 Correct 37 ms 15352 KB Output is correct
26 Correct 32 ms 15360 KB Output is correct
27 Correct 289 ms 44124 KB Output is correct
28 Correct 325 ms 43192 KB Output is correct
29 Correct 262 ms 39532 KB Output is correct
30 Correct 257 ms 43748 KB Output is correct
31 Correct 772 ms 71352 KB Output is correct
32 Correct 2212 ms 70160 KB Output is correct
33 Correct 1591 ms 84896 KB Output is correct
34 Correct 1500 ms 77912 KB Output is correct
35 Correct 15 ms 14464 KB Output is correct
36 Correct 1418 ms 38712 KB Output is correct
37 Execution timed out 3020 ms 83776 KB Time limit exceeded
38 Halted 0 ms 0 KB -