#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define rep(i, a, b) for (auto i = (a); i < (b); ++i)
#define trav(e, x) for (auto &e : x)
#define eb(x...) emplace_back(x)
#define all(x) begin(x), end(x)
#define sz(x) int((x).size())
#define lb(x...) lower_bound(x)
#define f first
#define s second
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
const int N = 1 << 16, K = 1 << 6;
const ll inf = 2e8;
using point = complex<ll>;
point p[N];
short v[N], k;
int n, nxt[N];
vector<int> cmp[N];
bool dp[K][K];
int head(int u) { return nxt[u] != u ? nxt[u] = head(nxt[u]) : u; }
void unite(int u, int v) { nxt[head(u)] = head(v); }
bool f(ll d) {
ld r = sqrt(ld(d));
set<pair<ll, int>> S;
int l = 0;
rep(u, 0, n) nxt[u] = u;
rep(i, 0, n) {
if (real(p[i]) - real(p[l]) > r)
S.erase({imag(p[l]), l}), ++l;
for (auto it = S.lb({ceil(imag(p[i]) - r), -inf});
it != end(S) && it->f - r <= imag(p[i]); ++it)
if (norm(p[it->s] - p[i]) <= d)
unite(it->s, i);
S.insert({imag(p[i]), i});
}
rep(u, 0, n) cmp[u].clear();
rep(u, 0, n) cmp[head(u)].eb(u);
rep(z, 0, n) {
auto &a = cmp[z];
if (a.empty()) continue;
if (sz(a) > k) return true;
int n = sz(a);
rep(i, 0, n) rep(w, 0, k) dp[i][w] = 0;
dp[0][v[a[0]]] = 1;
rep(i, 1, n) {
dp[i][v[a[i]]] = 1;
rep(w, 0, k)
if (dp[i - 1][w])
dp[i][(w + v[a[i]]) % k] = dp[i][w] = true;
}
if (dp[n - 1][0]) return true;
}
return false;
}
pair<point, short> tmp[N];
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> k;
rep(i, 0, n) {
int x, y, c; cin >> x >> y >> c;
tmp[i] = {{x, y}, c % k};
}
sort(tmp, tmp + n, [&](auto a, auto b) {
if (real(a.f) == real(b.f)) return imag(a.f) < imag(b.f);
return real(a.f) < real(b.f);
});
rep(i, 0, n) tie(p[i], v[i]) = tmp[i];
ll l = 0, r = inf * inf;
while (r - l > 1) {
ll m = l + (r - l + 1) / 2;
if (f(m)) r = m;
else l = m;
}
cout << fixed << setprecision(3) << sqrt(ld(r));
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Correct |
2 ms |
1920 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1920 KB |
Output is correct |
2 |
Correct |
2 ms |
1920 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1920 KB |
Output is correct |
2 |
Correct |
379 ms |
2064 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Correct |
305 ms |
2184 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
1920 KB |
Output is correct |
2 |
Correct |
146 ms |
2040 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Correct |
348 ms |
2048 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
1920 KB |
Output is correct |
2 |
Correct |
459 ms |
2048 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Correct |
84 ms |
2036 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1083 ms |
4156 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1080 ms |
5752 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1078 ms |
5600 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1027 ms |
5472 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1096 ms |
5796 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1093 ms |
5712 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1097 ms |
5572 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1096 ms |
5624 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1086 ms |
5444 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1078 ms |
5564 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1090 ms |
5548 KB |
Time limit exceeded |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
1920 KB |
Output is correct |
2 |
Execution timed out |
1095 ms |
5624 KB |
Time limit exceeded |