Submission #548821

#TimeUsernameProblemLanguageResultExecution timeMemory
548821enerelt14Safety (NOI18_safety)C++14
100 / 100
79 ms6324 KiB
#include <bits/stdc++.h> using namespace std; #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; template<typename T> using ordered_set = tree<T, null_type, less < T>, rb_tree_tag, tree_order_statistics_node_update>; template<typename T> using normal_queue = priority_queue <T, vector<T>, greater<>>; mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count()); #define ll long long #define trace(x) cout << #x << ": " << (x) << endl; #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define uniq(x) x.resize(unique(all(x)) - begin(x)) #define ld long double #define sz(s) ((int) size(s)) #define pii pair<int, int> #define mp(x, y) make_pair(x, y) #define int128 __int128 #define pb push_back #define eb emplace_back template<typename T> bool ckmin(T &x, T y) { if (x > y) { x = y; return true; } return false; } template<typename T> bool ckmax(T &x, T y) { if (x < y) { x = y; return true; } return false; } int bit(int x, int b) { return (x >> b) & 1; } int rand(int l, int r) { return (int) ((ll) rnd() % (r - l + 1)) + l; } //soryan za musor sverhu const ll infL = 3e18; const int infI = 1e9 + 7; const int N = 300001; const ll mod = 1e9 + 7; const ld eps = 1e-9; template<typename T> struct SlopeTrick { const T INF = numeric_limits<T>::max() / 3; T min_f; priority_queue <T, vector<T>, less<>> L; priority_queue <T, vector<T>, 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 (not 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 (not L.empty()) L.pop(); return val; } size_t size() { return L.size() + R.size(); } public: SlopeTrick() : min_f(0), add_l(0), add_r(0) {} struct Query { T lx, rx, min_f; }; // return min f(x) Query query() const { return (Query) {top_L(), top_R(), min_f}; } // 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 += 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 += 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 (not R.empty()) R.pop(); } // \/ -> _/ // f_{new} (x) = min f(y) (y >= x) void clear_left() { while (not 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 will be destroyed((((( T get(const T &x) { T ret = min_f; while (not L.empty()) { ret += max(T(0), pop_L() - x); } while (not R.empty()) { ret += max(T(0), x - pop_R()); } return ret; } void mrg(SlopeTrick &st) { if (st.size() > size()) { swap(st.L, L); swap(st.R, R); swap(st.add_l, add_l); swap(st.add_r, add_r); swap(st.min_f, min_f); } while (not st.R.empty()) { add_x_minus_a(st.pop_R()); } while (not st.L.empty()) { add_a_minus_x(st.pop_L()); } min_f += st.min_f; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int test = 1; // cin >> test; while (test--) { int n, h; cin >> n >> h; vector<int> a(n); for (int i = 0; i < n; ++i) cin >> a[i]; SlopeTrick<ll> st; st.add_abs(a[0]); for (int i = 1; i < n; ++i) { st.shift(-h, h); st.add_abs(a[i]); } cout << st.min_f; } return 0; }
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