結果
| 問題 |
No.409 ダイエット
|
| ユーザー |
 Coki628
|
| 提出日時 | 2020-12-23 20:14:19 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 118 ms / 2,000 ms |
| コード長 | 6,319 bytes |
| コンパイル時間 | 2,036 ms |
| コンパイル使用メモリ | 203,076 KB |
| 最終ジャッジ日時 | 2025-01-17 06:29:23 |
|
ジャッジサーバーID （参考情報） |
judge2 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 92 |
ソースコード
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using pii = pair<int, int>;
using vvl = vector<vector<ll>>;
using vvi = vector<vector<int>>;
using vvpll = vector<vector<pll>>;
#define rep(i, a, b) for (ll i=(a); i<(b); i++)
#define rrep(i, a, b) for (ll i=(a); i>(b); i--)
#define pb push_back
#define tostr to_string
#define ALL(A) A.begin(), A.end()
constexpr ll INF = LONG_LONG_MAX;
constexpr ll MOD = 1000000007;
template<typename T> vector<vector<T>> list2d(int N, int M, T init) { vector<vector<T>> res(N, vector<T>(M, init)); return res; }
template<typename T> vector<vector<vector<T>>> list3d(int N, int M, int L, T init) { vector<vector<vector<T>>> res(N, vector<vector<T>>(M, vector<T>(L, init))); return res; }
void print(ld out) { cout << fixed << setprecision(15) << out << '\n'; }
void print(double out) { cout << fixed << setprecision(15) << out << '\n'; }
template<typename T> void print(T out) { cout << out << '\n'; }
template<typename T1, typename T2> void print(pair<T1, T2> out) { cout << out.first << ' ' << out.second << '\n'; }
template<typename T> void print(vector<T> A) { rep(i, 0, A.size()) { cout << A[i]; cout << (i == A.size()-1 ? '\n' : ' '); } }
template<typename T> void print(set<T> S) { vector<T> A(S.begin(), S.end()); print(A); }
void Yes() { print("Yes"); }
void No() { print("No"); }
void YES() { print("YES"); }
void NO() { print("NO"); }
ll floor(ll a, ll b) { if (a < 0) { return (a-b+1) / b; } else { return a / b; } }
ll ceil(ll a, ll b) { if (a >= 0) { return (a+b-1) / b; } else { return a / b; } }
pll divmod(ll a, ll b) { ll d = a / b; ll m = a % b; return {d, m}; }
template<typename T> bool chmax(T &x, T y) { return (y > x) ? x = y, true : false; }
template<typename T> bool chmin(T &x, T y) { return (y < x) ? x = y, true : false; }
template<typename T> T sum(vector<T> A) { T res = 0; for (T a: A) res += a; return res; }
template<typename T> T max(vector<T> A) { return *max_element(ALL(A)); }
template<typename T> T min(vector<T> A) { return *min_element(ALL(A)); }
ll toint(string s) { ll res = 0; for (char c : s) { res *= 10; res += (c - '0'); } return res; }
int toint(char num) { return num - '0'; }
char tochar(int num) { return '0' + num; }
int ord(char c) { return (int)c; }
char chr(int a) { return (char)a; }
ll pow(int x, ll n) { ll res = 1; rep(_, 0, n) res *= x; return res; }
ll pow(ll x, ll n, int mod) { ll res = 1; while (n > 0) { if (n & 1) { res = (res * x) % mod; } x = (x * x) % mod; n >>= 1; } return res; }
int popcount(ll S) { return __builtin_popcountll(S); }
ll gcd(ll a, ll b) { return __gcd(a, b); }
template<typename T> int bisect_left(vector<T> A, T val) { return lower_bound(ALL(A), val) - A.begin(); }
template<typename T> int bisect_right(vector<T> A, T val) { return upper_bound(ALL(A), val) - A.begin(); }
// Li Chao Tree
template<typename T>
struct DynamicLiChaoTree {
const ll x_low;
const ll x_high;
const T id;
struct Line {
T a, b;
Line(T a, T b) : a(a), b(b) {}
inline T get(ll x) const { return a * x + b; }
};
struct Node {
Line x;
Node *l, *r;
Node(const Line &x) : x{x}, l{nullptr}, r{nullptr} {}
};
Node *root;
DynamicLiChaoTree(ll x_low, ll x_high, T id) : root{nullptr}, x_low(x_low), x_high(x_high), id(id) {}
Node *add_line(Node *t, Line &x, const ll &l, const ll &r, const T &x_l, const T &x_r) {
if(!t) return new Node(x);
T t_l = t->x.get(l), t_r = t->x.get(r);
if(t_l <= x_l && t_r <= x_r) {
return t;
} else if(t_l >= x_l && t_r >= x_r) {
t->x = x;
return t;
} else {
ll m = (l + r) / 2;
if(m == r) --m;
T t_m = t->x.get(m), x_m = x.get(m);
if(t_m > x_m) {
swap(t->x, x);
if(x_l >= t_l) t->l = add_line(t->l, x, l, m, t_l, t_m);
else t->r = add_line(t->r, x, m + 1, r, t_m + x.a, t_r);
} else {
if(t_l >= x_l) t->l = add_line(t->l, x, l, m, x_l, x_m);
else t->r = add_line(t->r, x, m + 1, r, x_m + x.a, x_r);
}
return t;
}
}
void add_line(const T &a, const T &b) {
Line x(a, b);
root = add_line(root, x, x_low, x_high, x.get(x_low), x.get(x_high));
}
Node *add_segment(Node *t, Line &x, const ll &a, const ll &b, const ll &l, const ll &r, const T &x_l, const T &x_r) {
if(r < a || b < l) return t;
if(a <= l && r <= b) {
Line y{x};
return add_line(t, y, l, r, x_l, x_r);
}
if(t) {
T t_l = t->x.get(l), t_r = t->x.get(r);
if(t_l <= x_l && t_r <= x_r) return t;
} else {
t = new Node(Line(0, id));
}
ll m = (l + r) / 2;
if(m == r) --m;
T x_m = x.get(m);
t->l = add_segment(t->l, x, a, b, l, m, x_l, x_m);
t->r = add_segment(t->r, x, a, b, m + 1, r, x_m + x.a, x_r);
return t;
}
void add_segment(const ll &l, const ll &r, const T &a, const T &b) {
Line x(a, b);
root = add_segment(root, x, l, r - 1, x_low, x_high, x.get(x_low), x.get(x_high));
}
T query(const Node *t, const ll &l, const ll &r, const T &x) const {
if(!t) return id;
if(l == r) return t->x.get(x);
ll m = (l + r) / 2;
if(m == r) --m;
if(x <= m) return min(t->x.get(x), query(t->l, l, m, x));
else return min(t->x.get(x), query(t->r, m + 1, r, x));
}
T query(const T &x) const {
return query(root, x_low, x_high, x);
}
};
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
ll N, A, B, W;
cin >> N >> A >> B >> W;
vector<ll> D(N);
rep(i, 0, N) cin >> D[i];
D.insert(D.begin(), 0);
vector<ll> dp(N+1);
DynamicLiChaoTree<ll> lct(0, N+1, INF);
dp[0] = W;
lct.add_line(0, dp[0]);
rep(i, 1, N+1) {
dp[i] = min(lct.query(i)+(i*i+i)/2*B-A*i, dp[i-1]+D[i]);
lct.add_line(-i*B, dp[i-1]+D[i]+(i*i-i)/2*B+A*i);
}
ll ans = dp[N];
print(ans);
return 0;
}