Submission #287431

# Submission time Handle Problem Language Result Execution time Memory
287431 2020-08-31T16:59:24 Z ACmachine Circle selection (APIO18_circle_selection) C++17
72 / 100
3000 ms 91504 KB
#include <bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;

typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
typedef vector<str> vstr;

#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back 
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define rsz resize 

const double EPS = 1e-9;
const int MOD = 1e9+7; // 998244353;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};

#ifdef DEBUG
#define DBG if(1)
#else
#define DBG if(0)
#endif

#define dbg(x) cout << "(" << #x << " : " << x << ")" << endl;
// ostreams
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "[";  REP(i, v.size()) out << v[i] << ", ";  out << "]"; return out;}
// istreams
template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }
template<class T, class U>
istream& operator>>(istream& in, pair<T, U> &p){ in >> p.ff >> p.ss; return in; }
//searches
template<typename T, typename U>
T bsl(T lo, T hi, U f){ hi++; T mid; while(lo < hi){ mid = (lo + hi)/2; f(mid) ? hi = mid : lo = mid+1; } return lo; }
template<typename U>
double bsld(double lo, double hi, U f, double p = 1e-9){ int r = 3 + (int)log2((hi - lo)/p); double mid; while(r--){ mid = (lo + hi)/2; f(mid) ? hi = mid : lo = mid; } return (lo + hi)/2; }
template<typename T, typename U>
T bsh(T lo, T hi, U f){ lo--; T mid; while(lo < hi){ mid = (lo + hi + 1)/2; f(mid) ? lo = mid : hi = mid-1; } return lo; }
template<typename U>
double bshd(double lo, double hi, U f, double p = 1e-9){ int r = 3+(int)log2((hi - lo)/p); double mid; while(r--){ mid = (lo + hi)/2; f(mid) ? lo = mid : hi = mid; } return (lo + hi)/2; }
// some more utility functions
template<typename T>
pair<T, int> get_min(vector<T> &v){ typename vector<T> :: iterator it = min_element(v.begin(), v.end()); return mp(*it, it - v.begin());}
template<typename T>
pair<T, int> get_max(vector<T> &v){ typename vector<T> :: iterator it = max_element(v.begin(), v.end()); return mp(*it, it - v.begin());}        
template<typename T> bool ckmin(T& a, const T& b){return b < a ? a = b , true : false;}
template<typename T> bool ckmax(T& a, const T& b){return b > a ? a = b, true : false;}


struct circle{
    pii mid; 
    int r;
    int id;
    circle(pii _mid, int _r, int _id){
        mid = _mid; r = _r; id = _id;
    }
    bool intersect(circle &other){
        ll dist = (ll)(mid.ff - other.mid.ff)*(mid.ff - other.mid.ff) + (ll)(mid.ss - other.mid.ss)*(mid.ss - other.mid.ss);
        ll radsum = r + other.r;
        radsum *= radsum;
        return radsum >= dist;
    }
};

struct hash_pair{
    size_t operator()(const pair<int, int>& p) const
    {
        auto hsh1 = hash<int>{}(p.ff);
        auto hsh2 = hash<int>{}(p.ss);
        return hsh1 ^ hsh2;
    }
};
bool operator<(const circle &lhs, const circle &rhs){
    if(lhs.r == rhs.r) return lhs.id < rhs.id;
    return lhs.r > rhs.r; 
}
struct AcAutomaton{
    int n; 
    vi out;
    vector<circle> circles;
    map<pii, unordered_set<int>> grid;
    vector<bool> removed;
	void read_in(){
		cin >> n;
        out.rsz(n, -1);
        removed.rsz(n, false);
        REP(i, n){
            pii mid; int r; cin >> mid >> r;
            circles.pb(circle(mid, r, i));
        }
	}
    void rescale(int square_size){
        grid.clear();
        REP(i, n){
            if(!removed[i]){
                circle c = circles[i];
                pii newmid = mp(c.mid.ff / square_size, c.mid.ss / square_size);
                grid[newmid].insert(i);
            }
        }
    }
	void solve(){
		set<circle> pq;
        REP(i, circles.size()) pq.insert(circles[i]);
        int square_size = pq.begin()->r;
        rescale(square_size);
        vector<circle> circles_sorted = circles;
        sort(all(circles_sorted));
        for(circle c : circles_sorted){
            if(removed[c.id]) continue;
            if(c.r <= square_size / 2){
                square_size = c.r;
                rescale(square_size);
            }
            pii newmid = mp(c.mid.ff / square_size, c.mid.ss / square_size);
            vi toerase;
            FOR(i, newmid.ff - 2, newmid.ff + 3, 1){
                FOR(j, newmid.ss - 2, newmid.ss + 3, 1){
                    if(grid.find(mp(i, j)) == grid.end()) continue;
                    toerase.clear();
                    for(int c2id : grid[mp(i, j)]){
                        circle c2 = circles[c2id];
                        if(c.intersect(c2)){
                            out[c2.id] = c.id;
                            removed[c2.id] = true;
                            toerase.pb(c2.id); 
                        }
                    }
                    for(auto x : toerase) grid[mp(i, j)].erase(x);
                }
            }
        }
        /* while(!pq.empty()){ */
        /*     circle c = *pq.begin(); */
        /*     if(c.r <= square_size/2) { */
        /*         square_size = c.r; */
        /*         rescale(square_size); */
        /*     } */
        /*     pii newmid = mp(c.mid.ff / square_size, c.mid.ss / square_size); */
        /*     FOR(i, newmid.ff - 2, newmid.ff + 3, 1){ */
        /*         FOR(j, newmid.ss - 2, newmid.ss + 3, 1){ */
        /*             if(grid.find(mp(i, j)) == grid.end()) continue; */
        /*             for(int c2id : grid[mp(i, j)]){ */
        /*                 if(removed[c2id]) continue; */
        /*                 circle c2 = circles[c2id]; */
        /*                 if(c.intersect(c2)){ */
        /*                     out[c2.id] = c.id; */
        /*                     removed[c2.id] = true; */
        /*                     pq.erase(c2); */
        /*                 } */
        /*             } */
        /*         } */
        /*     } */
        /* } */
        REP(i, n) cout << out[i]+1 << (i == n - 1 ? "\n" : " ");
	}
};
    
int main(){
 	ios_base::sync_with_stdio(false);
 	cin.tie(NULL); cout.tie(NULL);
	int tcase = 1;
	while(tcase--){
		AcAutomaton solver;
		solver.read_in();
		solver.solve();
	}
    return 0;
}

Compilation message

circle_selection.cpp: In member function 'void AcAutomaton::solve()':
circle_selection.cpp:26:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<circle>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 | #define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
      |                                        ^
circle_selection.cpp:28:18: note: in expansion of macro 'FOR'
   28 | #define REP(i,b) FOR(i,0,b,1)
      |                  ^~~
circle_selection.cpp:138:9: note: in expansion of macro 'REP'
  138 |         REP(i, circles.size()) pq.insert(circles[i]);
      |         ^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 288 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 416 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 1 ms 512 KB Output is correct
19 Correct 5 ms 1184 KB Output is correct
20 Correct 5 ms 1152 KB Output is correct
21 Correct 6 ms 1152 KB Output is correct
22 Correct 18 ms 1664 KB Output is correct
23 Correct 21 ms 1664 KB Output is correct
24 Correct 19 ms 1664 KB Output is correct
25 Correct 45 ms 1784 KB Output is correct
26 Correct 19 ms 1664 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 559 ms 46548 KB Output is correct
2 Correct 582 ms 43604 KB Output is correct
3 Correct 548 ms 45908 KB Output is correct
4 Correct 465 ms 46804 KB Output is correct
5 Correct 615 ms 45268 KB Output is correct
6 Correct 1259 ms 62696 KB Output is correct
7 Correct 680 ms 46548 KB Output is correct
8 Correct 790 ms 49620 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 772 ms 28012 KB Output is correct
3 Correct 2835 ms 83436 KB Output is correct
4 Correct 2884 ms 91504 KB Output is correct
5 Correct 2832 ms 82528 KB Output is correct
6 Correct 964 ms 42084 KB Output is correct
7 Correct 411 ms 22784 KB Output is correct
8 Correct 51 ms 5100 KB Output is correct
9 Execution timed out 3093 ms 88368 KB Time limit exceeded
10 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2019 ms 83396 KB Output is correct
2 Correct 1519 ms 83384 KB Output is correct
3 Correct 868 ms 54364 KB Output is correct
4 Correct 1562 ms 83484 KB Output is correct
5 Correct 1548 ms 83496 KB Output is correct
6 Correct 615 ms 45908 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 288 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 416 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 1 ms 512 KB Output is correct
19 Correct 5 ms 1184 KB Output is correct
20 Correct 5 ms 1152 KB Output is correct
21 Correct 6 ms 1152 KB Output is correct
22 Correct 18 ms 1664 KB Output is correct
23 Correct 21 ms 1664 KB Output is correct
24 Correct 19 ms 1664 KB Output is correct
25 Correct 45 ms 1784 KB Output is correct
26 Correct 19 ms 1664 KB Output is correct
27 Correct 11 ms 1788 KB Output is correct
28 Correct 11 ms 1916 KB Output is correct
29 Correct 12 ms 1916 KB Output is correct
30 Correct 47 ms 3068 KB Output is correct
31 Correct 39 ms 3068 KB Output is correct
32 Correct 39 ms 3068 KB Output is correct
33 Correct 136 ms 15340 KB Output is correct
34 Correct 123 ms 15980 KB Output is correct
35 Correct 143 ms 14572 KB Output is correct
36 Correct 672 ms 27932 KB Output is correct
37 Correct 628 ms 28012 KB Output is correct
38 Correct 703 ms 28012 KB Output is correct
39 Correct 573 ms 25964 KB Output is correct
40 Correct 574 ms 27116 KB Output is correct
41 Correct 570 ms 26988 KB Output is correct
42 Correct 382 ms 29548 KB Output is correct
43 Correct 442 ms 30256 KB Output is correct
44 Correct 425 ms 30316 KB Output is correct
45 Correct 437 ms 30220 KB Output is correct
46 Correct 417 ms 30316 KB Output is correct
47 Correct 423 ms 30188 KB Output is correct
48 Correct 411 ms 30316 KB Output is correct
49 Correct 412 ms 30316 KB Output is correct
50 Correct 418 ms 30188 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 288 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 416 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 512 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 1 ms 512 KB Output is correct
19 Correct 5 ms 1184 KB Output is correct
20 Correct 5 ms 1152 KB Output is correct
21 Correct 6 ms 1152 KB Output is correct
22 Correct 18 ms 1664 KB Output is correct
23 Correct 21 ms 1664 KB Output is correct
24 Correct 19 ms 1664 KB Output is correct
25 Correct 45 ms 1784 KB Output is correct
26 Correct 19 ms 1664 KB Output is correct
27 Correct 559 ms 46548 KB Output is correct
28 Correct 582 ms 43604 KB Output is correct
29 Correct 548 ms 45908 KB Output is correct
30 Correct 465 ms 46804 KB Output is correct
31 Correct 615 ms 45268 KB Output is correct
32 Correct 1259 ms 62696 KB Output is correct
33 Correct 680 ms 46548 KB Output is correct
34 Correct 790 ms 49620 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 772 ms 28012 KB Output is correct
37 Correct 2835 ms 83436 KB Output is correct
38 Correct 2884 ms 91504 KB Output is correct
39 Correct 2832 ms 82528 KB Output is correct
40 Correct 964 ms 42084 KB Output is correct
41 Correct 411 ms 22784 KB Output is correct
42 Correct 51 ms 5100 KB Output is correct
43 Execution timed out 3093 ms 88368 KB Time limit exceeded
44 Halted 0 ms 0 KB -