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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#386344 | #5809. Min Perimeter | 0x3b800001 | 5 | 184ms | 13828kb | C++14 | 1.8kb | 2024-04-11 15:39:58 | 2024-04-11 15:39:58 |
Judging History
answer
#include <algorithm>
#include <chrono>
#include <cmath>
#include <complex>
#include <iomanip>
#include <iostream>
#include <random>
using ld = double;
int n;
using Point = std::complex<ld>;
Point P[1000007];
int xx[1000007], yy[1000007];
ld diss[1000007][41];
const ld pi = acos(-1);
inline ld dis(Point& lhs, Point& rhs) { return std::abs(lhs - rhs); }
inline ld T(Point& A, Point& B, Point& C) {
return dis(A, B) + dis(B, C) + dis(C, A);
}
void solve() {
std::cin >> n;
std::mt19937 rng(std::chrono::steady_clock::now().time_since_epoch().count());
ld ans = 1e18;
for (int i = 1; i <= n; ++i) {
std::cin >> xx[i] >> yy[i];
}
for (int f = 0; f < 3; ++f) {
Point r =
std::exp(Point(0, std::uniform_real_distribution<>(-pi, pi)(rng)));
Point rr =
std::exp(Point(3, std::uniform_real_distribution<>(-pi, pi)(rng)));
for (int i = 1; i <= n; ++i) {
P[i] = Point(xx[i], yy[i]) * r + rr;
}
std::sort(P + 1, P + n + 1, [](Point lhs, Point rhs) {
return (lhs.real() + 1e10) * (lhs.imag() + 1e10) < (rhs.real() + 1e10) * (rhs.imag() + 1e10);
});
for (int i = 1; i <= n; ++i) {
for (int j = i + 1; j <= n && j <= i + 20; ++j) {
diss[i][j - i] = dis(P[i], P[j]);
}
}
for (int i = 1; i <= n - 2; ++i) {
for (int j = i + 1; j <= n && j <= i + 20; ++j) {
for (int k = j + 1; k <= n && k <= i + 20; ++k) {
ans = std::min(ans, diss[i][j - i] + diss[j][k - j] + diss[i][k - i]);
}
}
}
}
std::cout << std::fixed << std::setprecision(14) << ans << '\n';
}
int main() {
// std::freopen("triangle2.in", "r", stdin);
std::cin.tie(nullptr)->sync_with_stdio(false);
int t;
std::cin >> t;
for (int i = 1; i <= t; ++i) {
std::cout << "Case #" << i << ": ";
solve();
}
return 0;
}
Details
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Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 184ms
memory: 13828kb
input:
15 3 2 6 7 0 3 0 3 713 269 371 79 455 421 3 91983245 637281504 756917015 312173515 869576338 436726680 10000 14761642 78236002 9047458 47951098 5238002 27761162 476182 2523742 1428546 7571226 26190010 138805810 21904372 116092132 18094916 95902196 43332562 229660522 55237112 292754072 52380020 27761...
output:
Case #1: 17.89301220620487 Case #2: 1042.84483496438816 Case #3: 1711142102.79132699966431 Case #4: 90912.29637371990248 Case #5: 3.41421356237305 Case #6: 26.15383034216312 Case #7: 1701.01268109563352 Case #8: 2865438.19199385493994 Case #9: 2020088.33722617710009 Case #10: 1792106.03729197243229 ...
result:
ok correct! (15 test cases)
Subtask #2:
score: 0
Time Limit Exceeded
Test #2:
score: 0
Time Limit Exceeded
input:
15 3 501691275 344354353 167768963 536043860 249445040 557426549 4 1000000000 0 0 0 1000000000 1000000000 0 1000000000 1000000 138925776 669369648 61257680 295150640 170762328 822763944 55483472 267329456 97736936 470914328 84041848 404928904 18463588 88960924 124429360 599523280 95066048 458045504 ...
output:
Case #1: 799653579.13308966159821 Case #2: 3414213562.37309455871582 Case #3: 866.07159013076637 Case #4: 62459.89536969485926 Case #5: 59141.91835881798033 Case #6: 898200.35246481245849 Case #7: 1707101.20907208137214 Case #8: 1703.58309032483703 Case #9: 1702.08048770470396 Case #10: 6806.6655838...