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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#385838#5809. Min Perimeterwsyear20 ✓8423ms11832kbC++142.0kb2024-04-11 08:47:072024-04-11 08:47:08

Judging History

你现在查看的是最新测评结果

  • [2024-04-11 08:47:08]
  • 评测
  • 测评结果:20
  • 用时:8423ms
  • 内存:11832kb
  • [2024-04-11 08:47:07]
  • 提交

answer

#include <bits/stdc++.h>

#define rep(i, j, k) for (int i = (j); i <= (k); ++i)
#define per(i, j, k) for (int i = (j); i >= (k); --i)
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(),(v).end()
#define fi first
#define se second
using ll = long long;
using pii = std::pair<int, int>;
using pll = std::pair<ll, ll>;

template<class T>inline void chkmn(T &x, T y) { if (y < x) x = y; }
template<class T>inline void chkmx(T &x, T y) { if (y > x) x = y; }

using namespace std;

const int maxn = 1000010;

int n;
pii a[maxn];
double ans = 1e10;

double dis(pii x, pii y) {
  return sqrt(1ll * (x.fi - y.fi) * (x.fi - y.fi) + 1ll * (x.se - y.se) * (x.se - y.se));
}

void solve(int l, int r) {
  if (l == r) return;
  int mid = (l + r) >> 1;
  solve(l, mid), solve(mid + 1, r);
  double lim = ans / 2;
  vector<pii> pl, pr;
  rep (i, l, mid) if (fabs(a[i].fi - a[mid].fi) <= lim) pl.emplace_back(a[i]);
  rep (i, mid + 1, r) if (fabs(a[i].fi - a[mid].fi) <= lim) pr.emplace_back(a[i]);
  sort(ALL(pl), [&](pii x, pii y) { return x.se < y.se; });
  sort(ALL(pr), [&](pii x, pii y) { return x.se < y.se; });
  int L = 0, R = -1, sz = SZ(pr);
  for (pii x : pl) {
    while (L < sz && x.se - pr[L].se > lim) L++;
    while (R + 1 < sz && pr[R + 1].se - x.se <= lim) R++;
    rep (i, L, R) rep (j, i + 1, R) chkmn(ans, dis(x, pr[i]) + dis(x, pr[j]) + dis(pr[i], pr[j]));
  }
  L = 0, R = -1, sz = SZ(pl);
  for (pii x : pr) {
    while (L < sz && x.se - pl[L].se > lim) L++;
    while (R + 1 < sz && pl[R + 1].se - x.se <= lim) R++;
    rep (i, L, R) rep (j, i + 1, R) chkmn(ans, dis(x, pl[i]) + dis(x, pl[j]) + dis(pl[i], pl[j]));
  }
}

void work() {
  cin >> n, ans = 1e10;
  rep (i, 1, n) cin >> a[i].fi >> a[i].se;
  sort(a + 1, a + n + 1), solve(1, n);
  cout << fixed << setprecision(10) << ans << '\n';
}

int main() {
  cin.tie(nullptr) -> ios::sync_with_stdio(false);
  int t; cin >> t;
  rep (i, 1, t) cout << "Case #" << i << ": ", work();
}

Details

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Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 45ms
memory: 3940kb

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: 17.8930122062
Case #2: 1042.8448349644
Case #3: 1711142102.7913269997
Case #4: 90912.2963740329
Case #5: 3.4142135624
Case #6: 26.1538303422
Case #7: 1701.0126810956
Case #8: 2865438.1919938712
Case #9: 2020088.3372263198
Case #10: 1792106.0372920712
Case #11: 2019352.5429097286
Case #12: 2...

result:

ok correct! (15 test cases)

Subtask #2:

score: 15
Accepted

Test #2:

score: 15
Accepted
time: 8423ms
memory: 11832kb

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: 799653579.1330897808
Case #2: 3414213562.3730950356
Case #3: 866.0715905744
Case #4: 62459.8953696371
Case #5: 59141.9183589318
Case #6: 898195.0909682680
Case #7: 1707085.7699867852
Case #8: 1686.2267982581
Case #9: 1686.6035459716
Case #10: 6806.6655839363
Case #11: 1907363.0783250025
Cas...

result:

ok correct! (15 test cases)

Extra Test:

score: 0
Extra Test Passed