結果
問題 | No.2873 Kendall's Tau |
ユーザー | dyktr_06 |
提出日時 | 2024-09-06 21:55:38 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 2,795 ms / 4,500 ms |
コード長 | 7,523 bytes |
コンパイル時間 | 2,880 ms |
コンパイル使用メモリ | 226,492 KB |
実行使用メモリ | 57,004 KB |
最終ジャッジ日時 | 2024-09-06 21:56:23 |
合計ジャッジ時間 | 41,971 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
6,812 KB |
testcase_01 | AC | 2 ms
6,940 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 2 ms
6,944 KB |
testcase_04 | AC | 2 ms
6,940 KB |
testcase_05 | AC | 2 ms
6,940 KB |
testcase_06 | AC | 2 ms
6,940 KB |
testcase_07 | AC | 2,581 ms
56,596 KB |
testcase_08 | AC | 2,612 ms
57,004 KB |
testcase_09 | AC | 2,572 ms
56,552 KB |
testcase_10 | AC | 2,527 ms
56,936 KB |
testcase_11 | AC | 2,692 ms
56,724 KB |
testcase_12 | AC | 2,795 ms
54,668 KB |
testcase_13 | AC | 706 ms
19,556 KB |
testcase_14 | AC | 2,001 ms
46,912 KB |
testcase_15 | AC | 323 ms
12,432 KB |
testcase_16 | AC | 318 ms
12,856 KB |
testcase_17 | AC | 1,850 ms
43,036 KB |
testcase_18 | AC | 1,319 ms
31,952 KB |
testcase_19 | AC | 1,770 ms
42,212 KB |
testcase_20 | AC | 315 ms
12,940 KB |
testcase_21 | AC | 1,532 ms
34,912 KB |
testcase_22 | AC | 490 ms
17,068 KB |
testcase_23 | AC | 1,393 ms
35,292 KB |
testcase_24 | AC | 133 ms
7,808 KB |
testcase_25 | AC | 296 ms
12,148 KB |
testcase_26 | AC | 1,813 ms
43,400 KB |
testcase_27 | AC | 974 ms
27,156 KB |
testcase_28 | AC | 2,099 ms
47,692 KB |
testcase_29 | AC | 2,259 ms
50,368 KB |
testcase_30 | AC | 241 ms
10,136 KB |
testcase_31 | AC | 473 ms
16,400 KB |
testcase_32 | AC | 1,491 ms
34,552 KB |
ソースコード
#include <bits/stdc++.h> using namespace std; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) (a).begin(), (a).end() #define Sort(a) (sort((a).begin(), (a).end())) #define RSort(a) (sort((a).rbegin(), (a).rend())) #define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end())) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector<int> vi; typedef vector<long long> vll; typedef vector<char> vc; typedef vector<string> vst; typedef vector<double> vd; typedef vector<long double> vld; typedef pair<long long, long long> P; template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); } template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; } template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; } template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template<class... T> void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template <typename S, typename T> struct RangeTree{ struct BinaryIndexedTree{ int N; vector<T> BIT; BinaryIndexedTree() {} void init(int size){ N = size; BIT.assign(N + 1, 0); } T get(int i){ return sum(i + 1) - sum(i); } void add(int i, T x){ ++i; while(i <= N){ BIT[i] += x; i += i & -i; } } T sum(int i) const { T ans = 0; while(i > 0){ ans += BIT[i]; i -= i & -i; } return ans; } T sum(int L, int R) const { return sum(R) - sum(L); } }; using P = pair<S, S>; S N, M; vector<BinaryIndexedTree> bit; vector<vector<S>> ys; vector<P> ps; RangeTree() {} void add_point(S x, S y){ ps.push_back(make_pair(x, y)); } void build(){ sort(ps.begin(), ps.end()); ps.erase(unique(ps.begin(), ps.end()), ps.end()); N = ps.size(); bit.resize(N + 1); ys.resize(N + 1); for(int i = 0; i <= N; ++i){ int j = i + 1; while(j <= N){ ys[j].push_back(ps[i].second); j += j & -j; } sort(ys[i].begin(), ys[i].end()); ys[i].erase(unique(ys[i].begin(), ys[i].end()), ys[i].end()); bit[i].init(ys[i].size()); } } int id(S x) const { auto f = [](const P &a, const P &b){ return a.first < b.first; }; return lower_bound(ps.begin(), ps.end(), make_pair(x, S()), f) - ps.begin(); } int id(int i, S y) const { return lower_bound(ys[i].begin(), ys[i].end(), y) - ys[i].begin(); } void add(S x, S y, T a){ int i = lower_bound(ps.begin(), ps.end(), make_pair(x, y)) - ps.begin(); assert(ps[i] == make_pair(x, y)); ++i; while(i <= N){ bit[i].add(id(i, y), a); i += i & -i; } } T sum(S x, S y) const { T ret = T(); int a = id(x); while(a > 0){ ret += bit[a].sum(id(a, y)); a -= a & -a; } return ret; } // [(xl, yl), (xr, yr)) T sum(S xl, S yl, S xr, S yr) const { T ret = T(); int a = id(xl), b = id(xr); while(a != b) { if(a < b){ ret += bit[b].sum(id(b, yl), id(b, yr)); b -= b & -b; } else{ ret -= bit[a].sum(id(a, yl), id(a, yr)); a -= a & -a; } } return ret; } }; void input(){ } void solve(){ ll n; in(n); vll x(n), y(n); rep(i, n) in(x[i], y[i]); rep(i, n){ x[i] += 1e9; y[i] += 1e9; } RangeTree<ll, ll> rt; rep(i, n){ rt.add_point(x[i], y[i]); } rt.build(); ll mx = 1e10; ld p = 0, q = 0, r = 0, s = 0; rep(i, n){ p += rt.sum(0, 0, x[i], y[i]) + rt.sum(x[i] + 1, y[i] + 1, mx, mx); q += rt.sum(x[i] + 1, 0, mx, y[i]) + rt.sum(0, y[i] + 1, x[i], mx); r += i - rt.sum(x[i], 0, x[i] + 1, mx); s += i - rt.sum(0, y[i], mx, y[i] + 1); rt.add(x[i], y[i], 1); } out((p - q) / sqrtl(r * s)); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }