#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vb = vector<bool>;
using vvb = vector<vb>;
using vi = vector<int>;
using vvi = vector<vi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vc = vector<char>;
using vvc = vector<vc>;
using vs = vector<string>;
const ll mod = 1e9 + 7,inf = 1e18;
#define pb push_back
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
void setIO()
{
fast;
// #ifndef ONLINE_JUDGE
// freopen("input.txt","r",stdin);
// freopen("output.txt","w",stdout);
// #endif
}
int compare(vi&f,vi&s,vi&p)
{
return f[2] * ((s[0] - p[0]) * (s[0] - p[0]) + (s[1] - p[1]) * (s[1] - p[1]))
-
s[2] * ((f[0] - p[0]) * (f[0] - p[0]) + (f[1] - p[1]) * (f[1] - p[1]));
}
struct DSU
{
int n;
vi p,type;
DSU(int N)
{
n = N;
p.assign(n + 1,0);
type.assign(n + 1,0);//0 means a kingdom
for (int i = 1;i<=n;i++)p[i] = i;
}
int Find(int u)
{
if (p[u] == u)return u;
return p[u] = Find(p[u]);
}
void Unite(int a,int b)//merge b into a
{
a = Find(a),b = Find(b);
p[b] = a;
}
};
int main()
{
setIO();
int n;
cin>>n;
vvi a(n,vi(3));
DSU val(n);
for (int i = 0;i<n;i++)cin>>a[i][0]>>a[i][1]>>a[i][2];
for (int i = 0;i<n;i++){
int bestPos = (i == 0 ? 1 : 0);
int cntBest = 1;
for (int j = 0;j<n;j++){
if (i == j or j == bestPos)continue;
int val = compare(a[j],a[bestPos],a[i]);
if (val == 0)
cntBest++;
if (val > 0)
bestPos = j,cntBest = 1;
}
if ((a[i][2] * ((a[i][0] - a[bestPos][0]) * (a[i][0] - a[bestPos][0]) +
(a[i][1] - a[bestPos][1]) * (a[i][1] - a[bestPos][1]))) < a[bestPos][2]){
if (cntBest >= 2){
val.type[i] = 1;//1 means a democracy
}
else{
val.Unite(bestPos,i);
}
}
}
for (int i = 0;i<n;i++){
int cap = val.Find(i);
if (cap != i)cout<<cap + 1<<'\n';
else if (val.type[i] == 0)cout<<"K"<<'\n';
else cout<<"D"<<'\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
2 ms |
332 KB |
Output is correct |
4 |
Correct |
3 ms |
332 KB |
Output is correct |
5 |
Correct |
4 ms |
332 KB |
Output is correct |
6 |
Correct |
5 ms |
332 KB |
Output is correct |
7 |
Correct |
7 ms |
320 KB |
Output is correct |
8 |
Correct |
8 ms |
332 KB |
Output is correct |
9 |
Correct |
11 ms |
332 KB |
Output is correct |
10 |
Correct |
12 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
2 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
332 KB |
Output is correct |
15 |
Correct |
4 ms |
332 KB |
Output is correct |
16 |
Correct |
5 ms |
324 KB |
Output is correct |
17 |
Correct |
7 ms |
332 KB |
Output is correct |
18 |
Correct |
8 ms |
460 KB |
Output is correct |
19 |
Correct |
10 ms |
332 KB |
Output is correct |
20 |
Correct |
12 ms |
332 KB |
Output is correct |