結果

問題 No.94 圏外です。(EASY)
ユーザー Demystify
提出日時 2022-05-07 16:51:50
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 30 ms / 5,000 ms
コード長 8,056 bytes
コンパイル時間 2,298 ms
コンパイル使用メモリ 207,496 KB
最終ジャッジ日時 2025-01-29 04:46:46
ジャッジサーバーID
(参考情報)
judge4 / judge1
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ファイルパターン 結果
other AC * 22
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ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
// --------------------------------------------------------
#define FOR(i,l,r) for (int i = (l); i < (r); ++i)
#define RFOR(i,l,r) for (int i = (r)-1; (l) <= i; --i)
#define REP(i,n) FOR(i,0,n)
#define RREP(i,n) RFOR(i,0,n)
#define ALL(c) (c).begin(), (c).end()
#define RALL(c) (c).rbegin(), (c).rend()
#define SORT(c) sort(ALL(c))
#define RSORT(c) sort(RALL(c))
#define MIN(c) *min_element(ALL(c))
#define MAX(c) *max_element(ALL(c))
#define SUM(c) accumulate(ALL(c), 0LL)
#define COUNT(c,v) count(ALL(c),(v))
#define SZ(c) ((ll)(c).size())
#define BIT(b,i) (((b)>>(i)) & 1)
#define PCNT(b) __builtin_popcountll(b)
#define P0(i) (((i) & 1) == 0)
#define P1(i) (((i) & 1) == 1)
#ifdef _LOCAL
#define debug_bar cerr << "--------------------\n";
#define debug(x) cerr << "l." << __LINE__ << " : " << #x << " = " << (x) << '\n'
#define debug_pair(x) cerr << "l." << __LINE__ << " : " << #x << " = (" << x.first << "," << x.second << ")\n";
template<class T> void debug_line(const vector<T>& ans, int l, int r, int L = 0) { cerr << "l." << L << " :"; for (int i = l; i < r; i++) { cerr
        << ' ' << ans[i]; } cerr << '\n'; }
#else
#define cerr if (false) cerr
#define debug_bar
#define debug(x)
#define debug_pair(x)
template<class T> void debug_line([[maybe_unused]] const vector<T>& ans, [[maybe_unused]] int l, [[maybe_unused]] int r, [[maybe_unused]] int L =
        0) {}
#endif
template<class... T> void input(T&... a) { (cin >> ... >> a); }
void print() { cout << '\n'; }
template<class T> void print(const T& a) { cout << a << '\n'; }
template<class T, class... Ts> void print(const T& a, const Ts&... b) { cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T> void cout_line(const vector<T>& ans, int l, int r) { for (int i = l; i < r; i++) { if (i != l) { cout << ' '; } cout << ans[i]; }
    cout << '\n'; }
template<class T> bool chmin(T& a, const T b) { if (b < a) { a = b; return 1; } return 0; }
template<class T> bool chmax(T& a, const T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> pair<T,T> divmod(T a, T b) { assert(a >= 0 && b > 0); return make_pair(T(a / b), T(a % b)); }
template<class T> T mod(T x, T m) { assert(m != 0); return T((x % m + m) % m); }
template<class T> T ceil(T a, T b) { if (b < 0) { return ceil(T(-a), T(-b)); } assert(b > 0); return (a < 0 ? T(a / b) : T((a + b - 1) / b)); }
template<class T> T floor(T a, T b) { if (b < 0) { return floor(T(-a), T(-b)); } assert(b > 0); return (a > 0 ? T(a / b) : T((a - b + 1) / b)); }
template<class T> T powint(T x, T n) { assert(n >= 0); if (n == 0) { return T(1); }; T res = powint(x, T(n>>1)); res *= res; if (n & 1) { res *= x; }
    return res; }
ll bitlen(ll b) { if (b <= 0) { return 0; } return (64LL - __builtin_clzll(b)); }
ll digit_len(ll n) { assert(n >= 0); if (n == 0) { return 1; } ll sum = 0; while (n > 0) { sum++; n /= 10; } return sum; }
ll digit_sum(ll n) { assert(n >= 0); ll sum = 0; while (n > 0) { sum += n % 10; n /= 10; } return sum; }
ll digit_prod(ll n) { assert(n >= 0); if (n == 0) { return 0; } ll prod = 1; while (n > 0) { prod *= n % 10; n /= 10; } return prod; }
ll xor_sum(ll x) { assert(0 <= x); switch (x % 4) { case 0: return x; case 1: return 1; case 2: return x ^ 1; case 3: return 0; } assert(false); }
string toupper(const string& S) { string T(S); for (int i = 0; i < (int)T.size(); i++) { T[i] = toupper(T[i]); } return T; }
string tolower(const string& S) { string T(S); for (int i = 0; i < (int)T.size(); i++) { T[i] = tolower(T[i]); } return T; }
int a2i(const char& c) { assert(islower(c)); return (c - 'a'); }
int A2i(const char& c) { assert(isupper(c)); return (c - 'A'); }
int d2i(const char& d) { assert(isdigit(d)); return (d - '0'); }
char i2a(const int& i) { assert(0 <= i && i < 26); return ('a' + i); }
char i2A(const int& i) { assert(0 <= i && i < 26); return ('A' + i); }
char i2d(const int& i) { assert(0 <= i && i <= 9); return ('0' + i); }
using P = pair<ll,ll>;
using VP = vector<P>;
using VVP = vector<VP>;
using VS = vector<string>;
using VVS = vector<VS>;
using VI = vector<int>;
using VVI = vector<VI>;
using VVVI = vector<VVI>;
using VLL = vector<ll>;
using VVLL = vector<VLL>;
using VVVLL = vector<VVLL>;
using VB = vector<bool>;
using VVB = vector<VB>;
using VVVB = vector<VVB>;
using VD = vector<double>;
using VVD = vector<VD>;
using VVVD = vector<VVD>;
using VLD = vector<ld>;
using VVLD = vector<VLD>;
using VVVLD = vector<VVLD>;
const ld EPS = 1e-10;
const ld PI = acosl(-1.0);
constexpr ll MOD = 1000000007;
// constexpr ll MOD = 998244353;
constexpr int inf = (1 << 30) - 1; // 1073741824 - 1
constexpr ll INF = (1LL << 62) - 1; // 4611686018427387904 - 1
// --------------------------------------------------------
// #include <atcoder/all>
// using namespace atcoder;
// References:
// <https://github.com/atcoder/ac-library/blob/v1.4/atcoder/dsu.hpp>
// <https://en.wikipedia.org/wiki/Disjoint-set_data_structure>
// Disjoint-set data structure (Union Find)
//
struct dsu {
public:
dsu() : N(0) {}
explicit dsu(int n) : N(n), parent_or_size(n, -1), n_edge(n, 0) {}
// (a, b) : amortized O(α(N))
bool merge(int a, int b) {
assert(0 <= a && a < N);
assert(0 <= b && b < N);
int x = leader(a), y = leader(b);
if (x == y) { n_edge[x]++; return false; }
if (-parent_or_size[x] < -parent_or_size[y]) { swap(x, y); }
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
n_edge[x] += n_edge[y] + 1;
return true;
}
// a, b : amortized O(α(N))
bool same(int a, int b) {
assert(0 <= a && a < N);
assert(0 <= b && b < N);
return leader(a) == leader(b);
}
// a : amortized O(α(N))
int leader(int a) {
assert(0 <= a && a < N);
if (parent_or_size[a] < 0) { return a; }
return parent_or_size[a] = leader(parent_or_size[a]);
}
// a : amortized O(α(N))
int size(int a) {
assert(0 <= a && a < N);
return -parent_or_size[leader(a)];
}
// a : amortized O(α(N))
int size_e(int a) {
assert(0 <= a && a < N);
return n_edge[leader(a)];
}
// : O(N)
vector<vector<int>> groups() {
vector<int> leader_buf(N), group_size(N);
for (int i = 0; i < N; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
vector<vector<int>> result(N);
for (int i = 0; i < N; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < N; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
remove_if(result.begin(), result.end(),
[&](const vector<int>& v) { return v.empty(); }),
result.end());
return result;
}
private:
int N;
// [x < 0] -x
// [0 <= x] x parent
vector<int> parent_or_size;
vector<int> n_edge;
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(15);
ll N; input(N);
VLL X(N),Y(N); REP(i,N) input(X[i], Y[i]);
dsu uf(N);
REP(i,N) REP(j,N) if (i != j) {
ll dx = X[i] - X[j];
ll dy = Y[i] - Y[j];
if (dx*dx + dy*dy <= 100) uf.merge(i, j);
}
ld ans = 1;
for (auto& g : uf.groups()) {
int n = SZ(g);
REP(i,n) REP(j,n) {
ll dx = X[g[i]] - X[g[j]];
ll dy = Y[g[i]] - Y[g[j]];
ld L = sqrt(dx*dx + dy*dy);
chmax(ans, L + 2);
}
}
print(ans);
return 0;
}
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