noya2_Library

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:heavy_check_mark: test/data_structure/yuki_1077.test.cpp

Depends on

Code

#define PROBLEM "https://yukicoder.me/problems/no/1077"

#include"../../template/template.hpp"
#include"../../data_structure/slope_trick.hpp"

int main(){
    int n; in(n);
    slope_trick<ll> st;
    rep(i,n){
        ll y; in(y);
        st.clear_right();
        st.add_abs(y);
    }
    out(st.min());
}
#line 1 "test/data_structure/yuki_1077.test.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/1077"

#line 2 "template/template.hpp"
using namespace std;

#include<bits/stdc++.h>
#line 1 "template/inout_old.hpp"
namespace noya2 {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p){
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p){
    is >> p.first >> p.second;
    return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v){
    int s = (int)v.size();
    for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
    return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v){
    for (auto &x : v) is >> x;
    return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &...u){
    cin >> t;
    in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u){
    cout << t;
    if (sizeof...(u)) cout << sep;
    out(u...);
}

template<typename T>
void out(const vector<vector<T>> &vv){
    int s = (int)vv.size();
    for (int i = 0; i < s; i++) out(vv[i]);
}

struct IoSetup {
    IoSetup(){
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(7);
    }
} iosetup_noya2;

} // namespace noya2
#line 1 "template/const.hpp"
namespace noya2{

const int iinf = 1'000'000'007;
const long long linf = 2'000'000'000'000'000'000LL;
const long long mod998 =  998244353;
const long long mod107 = 1000000007;
const long double pi = 3.14159265358979323;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

void yes(){ cout << "Yes\n"; }
void no(){ cout << "No\n"; }
void YES(){ cout << "YES\n"; }
void NO(){ cout << "NO\n"; }
void yn(bool t){ t ? yes() : no(); }
void YN(bool t){ t ? YES() : NO(); }

} // namespace noya2
#line 2 "template/utils.hpp"

#line 6 "template/utils.hpp"

namespace noya2{

unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){
    if (a == 0 || b == 0) return a + b;
    int n = __builtin_ctzll(a); a >>= n;
    int m = __builtin_ctzll(b); b >>= m;
    while (a != b) {
        int mm = __builtin_ctzll(a - b);
        bool f = a > b;
        unsigned long long c = f ? a : b;
        b = f ? b : a;
        a = (c - b) >> mm;
    }
    return a << std::min(n, m);
}

template<typename T> T gcd_fast(T a, T b){ return static_cast<T>(inner_binary_gcd(std::abs(a),std::abs(b))); }

long long sqrt_fast(long long n) {
    if (n <= 0) return 0;
    long long x = sqrt(n);
    while ((x + 1) * (x + 1) <= n) x++;
    while (x * x > n) x--;
    return x;
}

template<typename T> T floor_div(const T n, const T d) {
    assert(d != 0);
    return n / d - static_cast<T>((n ^ d) < 0 && n % d != 0);
}

template<typename T> T ceil_div(const T n, const T d) {
    assert(d != 0);
    return n / d + static_cast<T>((n ^ d) >= 0 && n % d != 0);
}

template<typename T> void uniq(std::vector<T> &v){
    std::sort(v.begin(),v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
}

template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }

template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T> inline bool range(T l, T x, T r){ return l <= x && x < r; }

} // namespace noya2
#line 8 "template/template.hpp"

#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define repp(i,m,n) for (int i = (m); i < (int)(n); i++)
#define reb(i,n) for (int i = (int)(n-1); i >= 0; i--)
#define all(v) (v).begin(),(v).end()

using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;

namespace noya2{

/*　~ (. _________ . /)　*/

}

using namespace noya2;


#line 2 "data_structure/slope_trick.hpp"

#line 8 "data_structure/slope_trick.hpp"

namespace noya2{

template< typename T >
struct slope_trick {
 
    static constexpr T INF = std::numeric_limits< T >::max() / 3;
 
    T min_f;
    std::priority_queue<T,std::vector<T>,std::less<>> L;
    std::priority_queue<T,std::vector<T>,std::greater<>> R;
    T add_l, add_r;
 
    void push_R(const T& a) {
        R.push(a - add_r);
    }
 
    T top_R() const {
        if (R.empty()) return INF;
        else return R.top() + add_r;
    }
 
    T pop_R() {
        T val = top_R();
        if (!R.empty()) R.pop();
        return val;
    }
 
    void push_L(const T& a) {
        L.push(a - add_l);
    }
 
    T top_L() const {
        if (L.empty()) return -INF;
        else return L.top() + add_l;
    }
 
    T pop_L() {
        T val = top_L();
        if (!L.empty()) L.pop();
        return val;
    }
 
    size_t size() {
        return L.size() + R.size();
    }
 
    slope_trick() : min_f(0), add_l(0), add_r(0) {}

    T min() const {
        return min_f;
    }
    
    std::pair<T, T> argmin() const {
        return {top_L(), top_R()};
    }
 
    // f(x) += a
    void add_all(const T& a) {
        min_f += a;
    }
 
    // add \_
    // f(x) += max(a - x, 0)
    void add_a_minus_x(const T& a) {
        min_f += std::max(T(0), a - top_R());
        push_R(a);
        push_L(pop_R());
    }
 
    // add _/
    // f(x) += max(x - a, 0)
    void add_x_minus_a(const T& a) {
        min_f += std::max(T(0), top_L() - a);
        push_L(a);
        push_R(pop_L());
    }
 
    // add \/
    // f(x) += abs(x - a)
    void add_abs(const T& a) {
        add_a_minus_x(a);
        add_x_minus_a(a);
    }
 
    // \/ -> \_
    // f_{new} (x) = min f(y) (y <= x)
    void clear_right() {
        while (!R.empty()) R.pop();
    }
 
    // \/ -> _/
    // f_{new} (x) = min f(y) (y >= x)
    void clear_left() {
        while (!L.empty()) L.pop();
    }
 
    // \/ -> \_/
    // f_{new} (x) = min f(y) (x-b <= y <= x-a)
    void shift(const T& a, const T& b) {
        assert(a <= b);
        add_l += a;
        add_r += b;
    }
 
    // \/. -> .\/
    // f_{new} (x) = f(x - a)
    void shift(const T& a) {
        shift(a, a);
    }
 
    // L, R を破壊する
    T get(const T& x) {
        T ret = min_f;
        while (!L.empty()) {
            ret += max(T(0), pop_L() - x);
        }
        while (!R.empty()) {
            ret += max(T(0), x - pop_R());
        }
        return ret;
    }
 
    void merge(slope_trick& st) {
        if (st.size() > size()) {
            std::swap(st.L, L);
            std::swap(st.R, R);
            std::swap(st.add_l, add_l);
            std::swap(st.add_r, add_r);
            std::swap(st.min_f, min_f);
        }
        while (!st.R.empty()) {
            add_x_minus_a(st.pop_R());
        }
        while (!st.L.empty()) {
            add_a_minus_x(st.pop_L());
        }
        min_f += st.min_f;
    }
};

} // namespace noya2
#line 5 "test/data_structure/yuki_1077.test.cpp"

int main(){
    int n; in(n);
    slope_trick<ll> st;
    rep(i,n){
        ll y; in(y);
        st.clear_right();
        st.add_abs(y);
    }
    out(st.min());
}
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