Source Code
#include <bits/stdc++.h>
 
using namespace std;
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
const int N = 1e6+10;
const int mod = 1e9+7;
#define all(x) (x).begin(), (x).end()

//-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
struct point_2d
{
    ld x , y ;
    point_2d operator+ ( point_2d p ){ return { p.x + x , p.y + y }; }
    point_2d operator- ( point_2d p ){ return { p.x - x , p.y - y }; }
    point_2d operator* ( ld d ){ return { x * d , y * d }; }
    point_2d operator/ ( ld d ){ return { x / d , y / d }; }
};
struct circle{
    ld r ;
    point_2d c ;
};
//-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
vector<int> parent ;
vector<circle> circles;
//Functions:-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
ld distance( point_2d a ){
    return sqrt( a.x*a.x + a.y*a.y );
}
bool Can_connect( circle a , circle b ){
    return ( distance( a.c - b.c ) <= ( a.r + b.r ) ) ;
}
int find_parent( int x ){
    if( parent[x] != x ) parent[x] = find_parent( parent[x] );
    return parent[x] ;
}
void join( int x , int y ){
    x = find_parent( x );
    y = find_parent( y );
    parent[y] = x ; 
}
ld to_degree( ld rad ){
    return rad * (180.0 / acos(-1));
}

ld find_angle( point_2d a ){
    if( a.x == 0 && a.y == 0 ) 
        while(true);
    if( a.x > 0.0 && a.y == 0.0 ) return 0.00;
    if( a.x == 0.0 && a.y > 0.0 ) return 90.00;
    if( a.x < 0.0 && a.y == 0.0 ) return 180.0;
    if( a.x == 0.0 && a.y < 0.0 ) return 270.0;
    ld angle = atan( abs(a.y) / abs(a.x) );
    angle = to_degree( angle );
    if( a.x > 0.0 && a.y > 0.0 ) return angle ;
    if( a.x < 0.0 && a.y > 0.0 ) return 180.0 - angle ;
    if( a.x < 0.0 && a.y < 0.0 ) return 180.0 + angle ;
    if( a.x > 0.0 && a.y < 0.0 ) return 360.0 - angle ;
}
void make_groups(){
    int n = circles.size() ;
    for( int i = 0 ; i < n ; i++ )
        for( int j = i+1 ; j < n ; j++ )
            if( Can_connect( circles[i] , circles[j]) )
                join( i , j );
    
    for( int i = 0 ; i < n ; i++ )
        parent[i] = find_parent( i );
}

void solve(){
    
    int n , R , k ; cin >> n >> R >> k ;

    parent.clear();
    parent.resize( n );
    circles.clear();
    circles.resize( n );

    for( int i = 0 ; i < n ; i++ ){
        cin >> circles[i].c.x >> circles[i].c.y >> circles[i].r ;
        parent[i] = i ;
    }

    make_groups();

    map< int , bool > used ;
    map< int , pair<ld,ld> > range ;
    set< int > groups ;

    for( int i = 0 ; i < n ; i++ ){
        groups.insert( parent[i] ) ;

        ld angle = find_angle( circles[i].c ) ;
        ld theta = to_degree(asin(circles[i].r / distance( circles[i].c ))) ;
        ld st_angle = angle - theta ;
        ld en_angle = angle + theta ;

        if( st_angle > en_angle )
            en_angle += 360.0;

        if( used[parent[i]] == false ){
            used[parent[i]] = true ;
            range[parent[i]] = { st_angle , en_angle } ;
        }
        range[parent[i]] = { min( st_angle , range[parent[i]].first ) , max( en_angle , range[parent[i]].second ) } ;
    }
    
    // for( auto i : groups )
    //     cout << i << " : " << range[i].first << " " <<range[i].second << endl;

    for( int c = 1 ; c <= k ; c++ ){

        int ans = 1 ;

        ld l = 360.0 / c ;

        pair< ld , ld > rg = { 0 , l } ;

        bool flag1 = false , flag2 = false ;

        for( auto i : groups ){
            
            int val = range[i].first / l ;
            
            ld st_angle = range[i].first  - (ll)(val) * l ;
            ld en_angle = range[i].second - (ll)(val) * l ;
            ld w = en_angle - st_angle ;

            if( ( en_angle - st_angle ) >= 2 * l ){
                ans = 0 ;
                break;
            }else if( ( en_angle - st_angle ) < l ) continue ;

            if( st_angle == 0.0 ) flag1 = true;
            
            if( en_angle < 2 * l){
                rg = { max( rg.first , (ld)0 ) , min( rg.second , 2 * l - en_angle ) };
            }else{
                rg = { max( rg.first , l + w - en_angle ) , min( rg.second , 3 * l - en_angle ) };
            }

        }
        if( ans == 0 ){
            cout << ans ;
            continue;
        }
        if( rg.first == rg.second && rg.first == 0 && !flag1 )
            ans = 1 ;
        else if( rg.first < rg.second )
            ans = 1 ;
        else
            ans = 0 ;
        cout << ans ;
    }
    cout << endl;
    // exit(0);
}
//-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
int main(){
ios::sync_with_stdio(false);
cin.tie(0);
cout.precision(10);
cout << fixed;

#ifndef ONLINE_JUDGE
freopen("input.txt" , "r" , stdin );
#endif
    int t ; cin >> t ;
    while( t-- ) solve();
    // cout << find_angle( { 0 , 0 } ) << endl;
}
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Cutting Swiss Cheese zslyer
GNU G++17
4 ms
268 KB
Wrong Answer