oj.uz

Submission #1073871

# Submission time Handle Problem Language Result Execution time Memory
1073871 2024-08-25T01:09:24 Z ngrace Circle selection (APIO18_circle_selection) C++14
37 / 100
 3000 ms 47516 KB 
#include <bits/stdc++.h>
using namespace std;
#define v vector
#define ll long long
#define ii pair<ll,ll>
#define fi first
#define se second

struct Circle{
    ll x, y, r, i;
};

int N;
v<Circle> C;

bool compC(Circle& a, Circle& b){
    if(a.r==b.r) return a.i<b.i;
    return a.r>b.r;
}
bool isect(Circle& a, Circle& b){
    ll dx=a.x-b.x;
    ll dy=a.y-b.y;
    ll r=a.r+b.r;
    return dx*dx+dy*dy <= r*r;
}

v<ll> eBy;

void sub1(){
    for(int i=0; i<N; i++){
        if(eBy[C[i].i]!=-1) continue;
        eBy[C[i].i] = C[i].i;
        for(int j=i+1; j<N; j++){
            if(eBy[C[j].i]==-1 && isect(C[i], C[j])){
                eBy[C[j].i] = C[i].i;
            }
        }
    }
}

void sub2(){
    set<ii> pts;
    for(int i=0; i<N; i++){
        pts.insert(make_pair(C[i].x-C[i].r, i));
        pts.insert(make_pair(C[i].x+C[i].r, i));
    }

    for(int i=0; i<N; i++){
        if(eBy[C[i].i]!=-1) continue;
        v<int> del;
        auto it = pts.lower_bound(make_pair(C[i].x-C[i].r, -1));
        while(it!=pts.end() && (*it).fi<=C[i].x+C[i].r){
            del.push_back((*it).se);
            it++;
        }
        for(int ind:del){
            eBy[C[ind].i] = C[i].i;
            pts.erase(make_pair(C[ind].x-C[ind].r, ind));
            pts.erase(make_pair(C[ind].x+C[ind].r, ind));
        }
    }
}

void sub3(){
    set<ii> xs;
    set<ii> ys;
    for(int i=0; i<N; i++){
        ys.insert({C[i].y-C[i].r, i});
        ys.insert({C[i].y+C[i].r, i});
        eBy[i] = i;
    }
    for(ii y:ys){
        ll x = C[y.se].x;

        if(C[y.se].y+C[y.se].r==y.fi) xs.erase({x,y.se});

        auto it = xs.lower_bound({x,-1});
        if(it!=xs.end()){
            ll ind = (*it).se;
            if(isect(C[y.se], C[ind])){
                ll e = (compC(C[y.se], C[ind]) ? y.se : ind);
                eBy[C[y.se].i] = C[e].i;
                eBy[C[ind].i] = C[e].i;
            }
        }
        if(it!=xs.begin()){
            it--;
            ll ind = (*it).se;
            if(isect(C[y.se], C[ind])){
                ll e = (compC(C[y.se], C[ind]) ? y.se : ind);
                eBy[C[y.se].i] = C[e].i;
                eBy[C[ind].i] = C[e].i;
            }
        }

        if(C[y.se].y-C[y.se].r == y.fi) xs.insert({x,y.se});
    }
}

void sub4(){
    map<ii, v<ll>> grid;
    for(int i=0; i<N; i++){
        C[i].x+=1e9;
        C[i].y+=1e9;
        grid[{C[i].x/C[i].r, C[i].y/C[i].r}].push_back(i);
    }
    for(int i=0; i<N; i++){
        Circle& cur = C[i];
        if(eBy[cur.i]!=-1) continue;
        for(ll x=cur.x/cur.r - 2; x<=cur.x/cur.r+2; x++){
            for(ll y=cur.y/cur.r-2; y<=cur.y/cur.r+2; y++){
                if(grid.find({x,y})==grid.end()) continue;
                for(ll c:grid[{x,y}]){
                    if(eBy[C[c].i]==-1 && isect(C[c],cur)) eBy[C[c].i] = cur.i;
                }
            }
        }
    }
}

void full(){
    for(ll ri = 30; ri>=0; ri--){
        ll r = (1<<ri);
        map<ii, v<ll>> grid;
        for(int i=0; i<N; i++){
            C[i].x+=1e9;
            C[i].y+=1e9;
            grid[{C[i].x/r, C[i].y/r}].push_back(i);
        }
        for(int i=0; i<N; i++){
            Circle& cur = C[i];
            if(cur.r<r/2) break;
            if(eBy[cur.i]!=-1 || cur.r>r) continue;
            for(ll x=cur.x/r - 2; x<=cur.x/r+2; x++){
                for(ll y=cur.y/r-2; y<=cur.y/r+2; y++){
                    if(grid.find({x,y})==grid.end()) continue;
                    for(ll c:grid[{x,y}]){
                        if(eBy[C[c].i]==-1 && isect(C[c],cur)) eBy[C[c].i] = cur.i;
                    }
                }
            }
        }
    }
}

int main(){
    cin>>N;
    bool s2 = true;
    bool s4 = true;
    for(int i=0; i<N; i++){
        ll x,y,r;
        cin>>x>>y>>r;
        C.push_back({x,y,r,i});
        s2 = s2 && y==0;
        s4 = s4 && r==C[0].r;
    }
    sort(C.begin(), C.end(), compC);

    eBy = v<ll>(N,-1);

    full();
    // if(N<=5000) sub1();
    // else if(s2) sub2();
    // else if(s4) sub4();
    // else sub3();

    for(int i:eBy) cout<<i+1<<" ";
    cout<<endl;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 5 ms 636 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 4 ms 604 KB Output is correct
19 Correct 28 ms 1384 KB Output is correct
20 Correct 25 ms 1240 KB Output is correct
21 Correct 29 ms 1240 KB Output is correct
22 Correct 33 ms 1364 KB Output is correct
23 Correct 35 ms 1240 KB Output is correct
24 Correct 34 ms 1376 KB Output is correct
25 Correct 35 ms 1352 KB Output is correct
26 Correct 34 ms 1240 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3068 ms 46748 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1322 ms 16928 KB Output is correct
3 Execution timed out 3032 ms 47516 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3061 ms 45796 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 5 ms 636 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 4 ms 604 KB Output is correct
19 Correct 28 ms 1384 KB Output is correct
20 Correct 25 ms 1240 KB Output is correct
21 Correct 29 ms 1240 KB Output is correct
22 Correct 33 ms 1364 KB Output is correct
23 Correct 35 ms 1240 KB Output is correct
24 Correct 34 ms 1376 KB Output is correct
25 Correct 35 ms 1352 KB Output is correct
26 Correct 34 ms 1240 KB Output is correct
27 Correct 69 ms 2284 KB Output is correct
28 Correct 64 ms 2284 KB Output is correct
29 Correct 68 ms 2248 KB Output is correct
30 Correct 82 ms 2256 KB Output is correct
31 Correct 74 ms 2248 KB Output is correct
32 Correct 77 ms 2248 KB Output is correct
33 Correct 1004 ms 20288 KB Output is correct
34 Correct 1041 ms 19384 KB Output is correct
35 Correct 970 ms 19124 KB Output is correct
36 Correct 1113 ms 19088 KB Output is correct
37 Correct 1184 ms 18872 KB Output is correct
38 Correct 1169 ms 18752 KB Output is correct
39 Correct 381 ms 16052 KB Output is correct
40 Correct 393 ms 15844 KB Output is correct
41 Correct 391 ms 16308 KB Output is correct
42 Correct 578 ms 18100 KB Output is correct
43 Correct 947 ms 18780 KB Output is correct
44 Correct 950 ms 18956 KB Output is correct
45 Correct 928 ms 19128 KB Output is correct
46 Correct 928 ms 19384 KB Output is correct
47 Correct 942 ms 19440 KB Output is correct
48 Correct 936 ms 18868 KB Output is correct
49 Correct 938 ms 18872 KB Output is correct
50 Correct 973 ms 18756 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 5 ms 636 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 4 ms 604 KB Output is correct
19 Correct 28 ms 1384 KB Output is correct
20 Correct 25 ms 1240 KB Output is correct
21 Correct 29 ms 1240 KB Output is correct
22 Correct 33 ms 1364 KB Output is correct
23 Correct 35 ms 1240 KB Output is correct
24 Correct 34 ms 1376 KB Output is correct
25 Correct 35 ms 1352 KB Output is correct
26 Correct 34 ms 1240 KB Output is correct
27 Execution timed out 3068 ms 46748 KB Time limit exceeded
28 Halted 0 ms 0 KB -