Submission #152356

#TimeUsernameProblemLanguageResultExecution timeMemory
152356MahotsukaiOrganizing the Best Squad (FXCUP4_squad)C++17
47 / 100
2962 ms113716 KiB
#include<bits/stdc++.h> #include<chrono> using namespace std; using namespace chrono; #define all(a) a.begin(), a.end() typedef long long ll; typedef vector<int> vi; typedef vector<ll> vl; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef pair<int, ll> pil; typedef pair<ll, int> pli; typedef vector<string> vs; template<class T1, class T2> istream &operator>>(istream &in, pair<T1, T2> &P){ in >> P.first >> P.second; return in; } template<class T1, class T2> ostream &operator<<(ostream &out, const pair<T1, T2> &P){ out << "(" << P.first << ", " << P.second << ")"; return out; } template<class T> istream &operator>>(istream &in, vector<T> &arr){ for(auto &x: arr) in >> x; return in; } template<class T> ostream &operator<<(ostream &out, const vector<T> &arr){ for(auto &x: arr) out << x << ' '; cout << "\n"; return out; } template<class T> istream &operator>>(istream &in, deque<T> &arr){ for(auto &x: arr) in >> x; return in; } template<class T> ostream &operator<<(ostream &out, const deque<T> &arr){ for(auto &x: arr) out << x << ' '; cout << "\n"; return out; } struct point{ ll x, y; point(pll p): x(p.first), y(p.second){} point(ll x = 0, ll y = 0): x(x), y(y){} bool operator<(const point &other) const{ return x < other.x || (x == other.x && y < other.y); } point operator+(const point &other) const{ return point(x + other.x, y + other.y); } point operator+=(const point &other){ return *this = *this + other; } point operator-(const point &other) const{ return point(x - other.x, y - other.y); } point operator-=(const point &other){ return *this = *this - other; } ll operator*(const point &other) const{ return x * other.x + y * other.y; } }; istream &operator>>(istream &in, point &p){ cin >> p.x >> p.y; return in; } ostream &operator<<(ostream &out, const point &p){ cout << "(" << p.x << ", " << p.y << ")"; return out; } ll ori(const point &p, const point &q, const point &r){ return p.x * q.y + q.x * r.y + r.x * p.y - p.y * q.x - q.y * r.x - r.y * p.x; } struct convhull{ int N, R; vector<point> ch; convhull(vector<point> arr = vector<point>(), bool sorted = false){ if(arr.size() <= 1){ ch = arr; N = R = arr.size(); if(N) R --; return; } if(!sorted) sort(arr.begin(), arr.end()); vector<point> upper; point p = arr.front(), q = arr.back(); upper.push_back(p); for(int i = 1; i < arr.size(); i ++){ if(i == arr.size() - 1 || ori(p, arr[i], q) < 0){ while(upper.size() >= 2 && ori(upper[upper.size() - 2], upper[upper.size() - 1], arr[i]) >= 0){ upper.pop_back(); } upper.push_back(arr[i]); } } ch.push_back(p), ch.push_back(q); for(int i = upper.size() - 2; i; i --) ch.push_back(upper[i]); N = ch.size(); R = 1; } vector<point> linearize() const{ if(N <= 1) return ch; int i = 0, j = N - 1; vector<point> res(N); int cnt = 0; while(i != R && j != R){ if(ch[i] < ch[j]) res[cnt ++] = ch[i ++]; else res[cnt ++] = ch[j --]; } while(i < R) res[cnt ++] = ch[i ++]; while(j > R) res[cnt ++] = ch[j --]; res.back() = ch[R]; return res; } int max_element(ll x, ll y){ point p(x, y); int l = R, r = N - 1; while(r - l > 1){ int m = l + r >> 1; if(p * ch[m] <= p * ch[m + 1]) l = m; else r = m; } if(p * ch[l] <= p * ch[l + 1]) return p * ch[l + 1] < p * ch[0] ? 0 : l + 1; else return p * ch[l] < p * ch[0] ? 0 : l; } int min_element(ll x, ll y){ point p(x, y); int l = 0, r = R - 1; while(r - l > 1){ int m = l + r >> 1; if(p * ch[m] >= p * ch[m + 1]) l = m; else r = m; } if(p * ch[l] >= p * ch[l + 1]) return l + 1; else return l; } convhull operator+(const convhull &other) const{ if(!N || !other.N) return convhull(); vector<point> temp1(ch), temp2(other.ch); for(int i = 0; i + 1 < N; i ++) temp1[i] = ch[i + 1] - ch[i]; for(int i = 0; i + 1 < other.N; i ++) temp2[i] = other.ch[i + 1] - other.ch[i]; temp1.back() = ch.front() - ch.back(); temp2.back() = other.ch.front() - other.ch.back(); function<bool(point, point)> cmp = [&](point p, point q){ int typep = 1, typeq = 1; if(p.x > 0 || !p.x && p.y >= 0) typep = 0; if(q.x > 0 || !q.x && q.y >= 0) typeq = 0; if(typep != typeq) return typep < typeq; return ori(p, q, point(0, 0)) > 0; }; vector<point> temp(N + other.N); int cnt = 0; int i = 0, j = 0; while(i < N && j < other.N){ if(cmp(temp1[i], temp2[j])) temp[cnt ++] = temp1[i ++]; else temp[cnt ++] = temp2[j ++]; } for(; i < N; i ++) temp[cnt ++] = temp1[i ++]; for(; j < other.N; j ++) temp[cnt ++] = temp2[j ++]; convhull res; res.N = N + other.N; res.ch.resize(res.N); cnt = 0; res.ch[cnt ++] = ch[0] + other.ch[0]; for(int i = 0; i + 1 < res.N; i ++){ res.ch[cnt ++] = res.ch[cnt - 1] + temp[i]; } res.R = std::max_element(all(res.ch)) - res.ch.begin(); return res; } convhull operator^(const convhull &other) const{ if(!N) return other; if(!other.N) return *this; auto temp1 = linearize(), temp2 = other.linearize(); vector<point> res(temp1.size() + temp2.size()); merge(all(temp1), all(temp2), res.begin()); return convhull(res, true); } convhull operator-() const{ convhull res(*this); res.R = N - R; if(N == 1) res.R = 0; for(int i = 0; i + R < N; i ++) res.ch[i] = point(-ch[i + R].x, -ch[i + R].y); for(int i = N - R; i < N; i ++) res.ch[i] = point(-ch[i + R - N].x, -ch[i + R - N].y); return res; } }; convhull c; typedef tuple<convhull, convhull, convhull> tccc; void Init(vi a, vi d, vi p){ int n = a.size(); vector<vector<point>> data(2, vector<point>(n)); for(int i = 0; i < n; i ++) data[0][i] = point(a[i], p[i]), data[1][i] = point(d[i], p[i]); function<tccc(int, int)> solve = [&](int l, int r){ if(r - l == 1){ return tccc(convhull({data[0][l]}), convhull({data[1][l]}), convhull()); } int m = l + r >> 1; auto [p1, p2, p3] = solve(l, m); auto [q1, q2, q3] = solve(m, r); return tccc(p1 ^ q1, p2 ^ q2, p1 + q2 ^ p2 + q1 ^ (p3 ^ q3)); }; c = get<2>(solve(0, n)); } ll BestSquad(int x, int y){ return point(x, y) * c.ch[c.max_element(x, y)]; } /* 12 6 1 1 5 1 2 4 1 3 3 1 4 2 1 5 1 1 6 6 1 1 5 1 2 4 1 3 3 1 4 2 1 5 1 1 6 100 4 3 1 4 2 3 3 2 1 6 4 4 1 2 1 3 3 1 */ ////////////////////////////////////////////////////////////////////////////////////////////////////// // // // // // _____________ // // ++++++++++ ___------------------\\\\ // // +++`+``+`+`++++ ///`````````````````````````````\\\ // // ++`+`+``+++`++++ /////```````````````````````````````````\\ // // +++`++`+`+``+++/////`````````````````````````````````````````\\ // // +++`++`+``+///```````````|```````````````````````````````````\\ // // ____++++/++++/`````````````/````````|````````|```````````````````\\ // // / / / | //``````````````|````````|```````|````````|````````````\\ // // / / / | ///````````/```````|```````||```````|````````|``````\```````\\ // // | / / |///`````````|``````/````````|````````|````````|```````|```````\\ // // |/ | |//``|```````|``````|````````|`````````|```````|```````|````````\\ // // /\___|__//`|``|```````|` | ``:|````````|:```````|```````|```|`````| // // / / /``|``|``````|/ | :| ```:|```````|```````|``++````++ // // / / //```|``|``````| | |: :| ```|```````|```++``++`\ // // | / /````|``|``````/ _.::::. | | | ````|```|`++`\`| // // | / |````|``|`````| ` | ``|```++``++`| // // | / |````|``|`````| : |``++````++| // // | / /````|``|`````| _.-:::. |..`|``.`|.| // // |/ /`````|``|`````| ` |```|````|`| // // /| |`````|``|`````| :' .|```|````|.| // // / | |`````|``|`````| /|-|``|````|`| // // / | |`````|```\````| / ||```|````|``\ // // / | |`````|````|```|:: /_| ||```|````|``| // // |`````|````|```|:|:. `.._ .\___/:|```|````|``| // // |`````\````|```|:|::- ``:::.... -:|:|:::|```|````|``| // // |``````|```|```|:|::`|. .:::|:|:::|```|````|``| // // \`````|```|```|:|::/|--. .`:|:::|:|:::/```|````|``| // // |````|```|```\:|:|:|----- _..-:|:|:|:::|:|::|````|````|`/ // // |````|```|````\|:|:|-------.____.....------|/::|:::|:|::|````|````|`| // // |````|```|\````\:|/\___________ ________/\--\:::|:|::|````/````|`| // // |````\```| \```|:/-------------\ /----------\``\::|:|::|```/`````|`| // // |`````|``| \``|/---------------\/------------\_________|```|`````|`| // // // ////////////////////////////////////////////////////////////////////////////////////////////////////// // // // Created by Aeren // // // //////////////////////////////////////////////////////////////////////////////////////////////////////

Compilation message (stderr)

squad.cpp: In function 'std::ostream& operator<<(std::ostream&, const std::vector<_Tp>&)':
squad.cpp:31:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  for(auto &x: arr) out << x << ' '; cout << "\n";
  ^~~
squad.cpp:31:37: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  for(auto &x: arr) out << x << ' '; cout << "\n";
                                     ^~~~
squad.cpp: In function 'std::ostream& operator<<(std::ostream&, const std::deque<_Tp>&)':
squad.cpp:41:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  for(auto &x: arr) out << x << ' '; cout << "\n";
  ^~~
squad.cpp:41:37: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  for(auto &x: arr) out << x << ' '; cout << "\n";
                                     ^~~~
squad.cpp: In constructor 'convhull::convhull(std::vector<point>, bool)':
squad.cpp:93:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 1; i < arr.size(); i ++){
                  ~~^~~~~~~~~~~~
squad.cpp:94:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if(i == arr.size() - 1 || ori(p, arr[i], q) < 0){
       ~~^~~~~~~~~~~~~~~~~
squad.cpp: In member function 'int convhull::max_element(ll, ll)':
squad.cpp:124:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
    int m = l + r >> 1;
            ~~^~~
squad.cpp: In member function 'int convhull::min_element(ll, ll)':
squad.cpp:135:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
    int m = l + r >> 1;
            ~~^~~
squad.cpp: In lambda function:
squad.cpp:151:23: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
    if(p.x > 0 || !p.x && p.y >= 0) typep = 0;
                  ~~~~~^~~~~~~~~~~
squad.cpp:152:23: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
    if(q.x > 0 || !q.x && q.y >= 0) typeq = 0;
                  ~~~~~^~~~~~~~~~~
squad.cpp: In member function 'convhull convhull::operator+(const convhull&) const':
squad.cpp:171:15: warning: operation on 'cnt' may be undefined [-Wsequence-point]
    res.ch[cnt ++] = res.ch[cnt - 1] + temp[i];
           ~~~~^~
squad.cpp: In lambda function:
squad.cpp:203:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   int m = l + r >> 1;
           ~~^~~
squad.cpp:206:36: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
   return tccc(p1 ^ q1, p2 ^ q2, p1 + q2 ^ p2 + q1 ^ (p3 ^ q3));
                                 ~~~^~~~
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