#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define sz(x) (int)x.size()
#define ALL(v) v.begin(),v.end()
#define MASK(k) (1LL << (k))
#define BIT(x, i) (((x) >> (i)) & 1)
#define oo (ll)1e18
#define INF (ll)1e9
#define MOD (ll)(998244353)
using namespace std;
template<class T1, class T2>
bool maximize(T1 &a, T2 b){if(a < b){a = b; return true;} return false;}
template<class T1, class T2>
bool minimize(T1 &a, T2 b){if(a > b){a = b; return true;} return false;}
template<class T1, class T2>
void add(T1 &a, T2 b){a += b; if(a >= MOD) a -= MOD;}
template<class T1, class T2>
void sub(T1 &a, T2 b){a -= b; if(a < 0) a += MOD;}
template<class T>
void cps(T &v){sort(ALL(v)); v.resize(unique(ALL(v)) - v.begin());}
const int MAXN = 5e4 + 10, MAXK = 55;
int N, K;
struct city{
ll x, y, c;
city(ll _x = 0, ll _y = 0, ll _c = 0){
x = _x;
y = _y;
c = _c;
}
};
vector<city> cities;
vector<city> edges;
ll sqr(ll n){return n * n;}
ll dist(pair<ll, ll> a, pair<ll, ll> b){
return sqr(a.fi - b.fi) + sqr(a.se - b.se);
}
set<int> mrge(set<int> &a, set<int> &b){
set<int> ans;
for(int i: a) for(int j: b){
ans.insert((i + j) % K);
}
for(int i: a) ans.insert(i);
for(int i: b) ans.insert(i);
return ans;
}
struct DSU{
vector<int> par, Sz;
vector<set<int>> sets;
DSU(int n = 0){
par.resize(n + 3);
Sz.resize(n + 3);
sets.resize(n + 3);
for(int i=1; i<=n; i++){
par[i] = i;
Sz[i] = 1;
}
}
int root(int u){
return u == par[u] ? u : par[u] = root(par[u]);
}
bool join(int a, int b){
a = root(a);
b = root(b);
if(a == b) return false;
if(Sz[a] < Sz[b]) swap(a, b);
Sz[a] += Sz[b];
par[b] = a;
sets[a] = mrge(sets[a], sets[b]);
return true;
}
};
void solve(){
cin >> N >> K;
for(int i=1; i<=N; i++){
int x, y, c;
cin >> x >> y >> c;
cities.push_back(city(x, y, c));
}
sort(ALL(cities), [&](city a, city b){return a.x < b.x;});
ll P = oo;
int j = 0;
set<pair<ll, ll>> sets;
for(int i=0; i<sz(cities); i++){
ll x = cities[i].x, y = cities[i].y, c = cities[i].c;
while(j < i && x - cities[j].x > P){
sets.erase(make_pair(cities[j].y, j));
}
auto itL = sets.lower_bound(make_pair(x - P, 0));
auto itR = sets.upper_bound(make_pair(x + P, oo));
vector<pair<ll, ll>> ord;
while(itL != itR){
ord.push_back(*itL);
itL++;
}
sort(ALL(ord), [&](pair<ll, ll> a, pair<ll, ll> b){
ll xa = cities[a.se].x, ya = a.fi;
ll xb = cities[b.se].y, yb = b.fi;
return dist(make_pair(xa, ya), make_pair(x, y)) < dist(make_pair(xb, yb), make_pair(x, y));
});
for(int k=0; k<min(K, sz(ord)); k++){
ll nx = cities[ord[k].se].x, ny = ord[k].fi;
edges.push_back(city(i, ord[k].se, dist(make_pair(x, y), make_pair(nx, ny))));
}
sets.insert(make_pair(y, i));
}
sort(ALL(edges), [&](city a, city b){
return a.c < b.c;
});
DSU dsu(N);
for(int i=0; i<N; i++){
dsu.sets[i].insert(cities[i].c % K);
}
for(auto o: edges){
// cout << o.x << ' ' << o.y << ' ' << o.c << '\n';
o.x = dsu.root(o.x);
o.y = dsu.root(o.y);
if(o.x != o.y){
for(int i: dsu.sets[o.x]) for(int j: dsu.sets[o.y]){
if((i + j) % K == 0){
cout << fixed << setprecision(3) << sqrtl(o.c) << '\n';
return;
}
}
dsu.join(o.x, o.y);
}
// for(int i: dsu.sets[o.x]) cout << i << ' ';
// cout << '\n';
}
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
// freopen("noel.inp", "r", stdin);
// freopen("noel.out", "w", stdout);
int t = 1;
// cin >> t;
while(t--){
solve();
}
return 0;
}
Compilation message
drzava.cpp: In function 'void solve()':
drzava.cpp:103:46: warning: unused variable 'c' [-Wunused-variable]
103 | ll x = cities[i].x, y = cities[i].y, c = cities[i].c;
| ^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
504 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
1 ms |
600 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Runtime error |
7 ms |
2516 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Runtime error |
13 ms |
4092 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Runtime error |
13 ms |
3792 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Runtime error |
14 ms |
4048 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Runtime error |
15 ms |
4112 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Runtime error |
15 ms |
4076 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
1 ms |
600 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Runtime error |
15 ms |
4080 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Runtime error |
13 ms |
4048 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Runtime error |
12 ms |
4084 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |