結果

問題 No.2304 Distinct Elements
ユーザー dyktr_06dyktr_06
提出日時 2023-05-22 04:10:25
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 61 ms / 3,000 ms
コード長 7,665 bytes
コンパイル時間 4,364 ms
コンパイル使用メモリ 270,344 KB
実行使用メモリ 12,564 KB
最終ジャッジ日時 2023-08-23 17:28:31
合計ジャッジ時間 11,167 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge13
このコードへのチャレンジ
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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 1 ms
4,380 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 54 ms
11,076 KB
testcase_05 AC 54 ms
11,212 KB
testcase_06 AC 53 ms
10,964 KB
testcase_07 AC 54 ms
11,916 KB
testcase_08 AC 55 ms
12,564 KB
testcase_09 AC 60 ms
11,500 KB
testcase_10 AC 60 ms
11,392 KB
testcase_11 AC 59 ms
11,608 KB
testcase_12 AC 59 ms
12,340 KB
testcase_13 AC 61 ms
11,552 KB
testcase_14 AC 2 ms
4,376 KB
testcase_15 AC 1 ms
4,380 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 2 ms
4,380 KB
testcase_18 AC 1 ms
4,376 KB
testcase_19 AC 1 ms
4,380 KB
testcase_20 AC 2 ms
4,380 KB
testcase_21 AC 2 ms
4,376 KB
testcase_22 AC 1 ms
4,380 KB
testcase_23 AC 2 ms
4,376 KB
testcase_24 AC 2 ms
4,380 KB
testcase_25 AC 1 ms
4,376 KB
testcase_26 AC 2 ms
4,376 KB
testcase_27 AC 2 ms
4,380 KB
testcase_28 AC 1 ms
4,376 KB
testcase_29 AC 45 ms
11,688 KB
testcase_30 AC 4 ms
4,380 KB
testcase_31 AC 36 ms
6,996 KB
testcase_32 AC 47 ms
11,256 KB
testcase_33 AC 5 ms
4,376 KB
testcase_34 AC 49 ms
11,832 KB
testcase_35 AC 55 ms
11,720 KB
testcase_36 AC 4 ms
4,380 KB
testcase_37 AC 18 ms
5,032 KB
testcase_38 AC 56 ms
11,744 KB
testcase_39 AC 55 ms
11,620 KB
testcase_40 AC 34 ms
9,076 KB
testcase_41 AC 18 ms
5,756 KB
testcase_42 AC 47 ms
12,092 KB
testcase_43 AC 59 ms
11,788 KB
testcase_44 AC 42 ms
10,684 KB
testcase_45 AC 33 ms
7,016 KB
testcase_46 AC 26 ms
6,864 KB
testcase_47 AC 2 ms
4,380 KB
testcase_48 AC 1 ms
4,380 KB
testcase_49 AC 54 ms
11,080 KB
testcase_50 AC 57 ms
11,132 KB
testcase_51 AC 57 ms
12,268 KB
testcase_52 AC 52 ms
11,508 KB
testcase_53 AC 42 ms
10,820 KB
testcase_54 AC 49 ms
12,052 KB
testcase_55 AC 46 ms
11,128 KB
testcase_56 AC 47 ms
11,764 KB
testcase_57 AC 54 ms
10,804 KB
testcase_58 AC 53 ms
11,056 KB
testcase_59 AC 49 ms
11,196 KB
testcase_60 AC 1 ms
4,376 KB
testcase_61 AC 2 ms
4,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
#include <atcoder/all>

using namespace std;
using namespace atcoder;

#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())

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 = 1000000007;
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); } }

struct SlopeTrick{
private:
    struct P{
        // x: 座標, c: 傾きの変化
        long long x, c;
        P(long long _x, long long _c) : x(_x), c(_c) {}
        friend inline bool operator<(const P &a, const P &b){ return a.x < b.x; }
        friend inline bool operator>(const P &a, const P &b){ return a.x > b.x; }
    };
    long long addL, addR, min_y;
    priority_queue<P> L;
    priority_queue<P, vector<P>, greater<P>> R;
    void pushL(long long x, long long c = 1){
        L.emplace(x - addL, c);
    }
    void pushR(long long x, long long c = 1){
        R.emplace(x - addR, c);
    }
    P getL(){
        return P{L.top().x + addL, L.top().c};
    }
    P getR(){
        return P{R.top().x + addR, R.top().c};
    }
    void popL(){ L.pop(); }
    void popR(){ R.pop(); }

public:
    SlopeTrick() : addL(0), addR(0), min_y(0) {}

    // return: x, f(x)
    pair<long long, long long> get_min(){
        long long x;
        if(L.empty()){
            if(R.empty()){
                x = 0;
            }else{
                x = getR().x;
            }
        }else{
            x = getL().x;
        }
        return make_pair(x, min_y);
    }

    void shift_L(long long a){
        addL += a;
    }

    void shift_R(long long a){
        addR += a;
    }

    // f(x) <- f(x - a)
    void shift_x(long long a){
        addL += a, addR += a;
    }

    // f(x) <- f(x) + a
    void shift_y(long long a){
        min_y += a;
    }

    // add (x - a)_+  ____/
    void add_xma(long long a, long long c = 1){
        long long used = 0;
        while(used < c && !(L.empty())){
            auto [X, C] = getL();
            if(X <= a) break;
            popL();
            long long tmp = min(c - used, C);
            pushR(X, tmp);
            if(C != tmp) pushL(X, C - tmp);
            min_y += (X - a) * tmp;
            used += tmp;
        }
        if(used) pushL(a, used);
        if(c - used) pushR(a, c - used);
    }

    // add (a - x)_+  \____
    void add_amx(long long a, long long c = 1){
        long long used = 0;
        while(used < c && !(R.empty())){
            auto [X, C] = getR();
            if(X >= a) break;
            popR();
            long long tmp = min(c - used, C);
            pushL(X, tmp);
            if(C != tmp) pushR(X, C - tmp);
            min_y += (a - X) * tmp;
            used += tmp;
        }
        if(used) pushR(a, used);
        if(c - used) pushL(a, c - used);
    }

    // add |x - a|  \____/
    void add_abs_xma(long long a, long long c = 1){
        add_xma(a, c);
        add_amx(a, c);
    }

    // chmin left side \_/ -> __/
    void chmin_left(){
        decltype(L){}.swap(L);
    }

    // chmin right side \_/ -> \__
    void chmin_right(){
        decltype(R){}.swap(R);
    }

    // return: f(x) = min_y + sum (a - x)_+ + sum (x - a)_+
    long long f(long long x){
        long long y = min_y;
        auto LL{L};
        while(!(LL.empty())){
            auto [X, C] = LL.top();
            X += addL;
            if(X < x) break;
            y += (X - x) * C;
            LL.pop();
        }
        auto RR{R};
        while(!(RR.empty())){
            auto [X, C] = RR.top();
            X += addR;
            if(X > x) break;
            y += (x - X) * C;
            RR.pop();
        }
        return y;
    }
};

ll n;

vll a;

void input(){
    in(n);
    vin(a, n);
}

void solve(){
    Sort(a);
    SlopeTrick st;
    rep(i, n){
        st.chmin_right();
        st.add_abs_xma(a[i] - i);
    }
    out(st.get_min().second);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(20);
    
    input();
    solve();
}
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