#include<bits/stdc++.h>
#define ll long long
#define pb push_back
#define ii pair<int, int>
#define fi first
#define se second
#define all(a) a.begin(), a.end()
#define int ll
using namespace std;
const int N = 3e5+5;
const int mod = 1e9+7;
const int inf = 1e18;
const double INF = 1/.0;
struct Line {
int a, b;
mutable double p;
bool operator<(const Line& o) const {
if (o.a == INT_MAX && o.b == INT_MAX) return p < o.p;
return a < o.a;
}
};
struct CHTMax {
multiset<Line> myLC;
bool isect(multiset<Line>::iterator x, multiset<Line>::iterator y) {
if (y == myLC.end()) return x->p = INF, false;
if (x->a == y->a) x->p = (x->b > y->b) ? INF : -INF;
else x->p = (double)(y->b - x->b) / (x->a - y->a);
return x->p >= y->p;
}
void add(int a, int b) {
auto x = myLC.insert({ a, b, 0 }), y = next(x);
while (isect(x, y)) y = myLC.erase(y);
if ((y = x) != myLC.begin() && isect(--y, x)) isect(y, myLC.erase(x));
while ((x = y) != myLC.begin() && (--x)->p >= y->p)
isect(x, myLC.erase(y)), y = x;
}
int query(int x) {
Line l = *myLC.lower_bound({ INT_MAX, INT_MAX, x });
return l.a * x + l.b;
}
};
void solve()
{
int n;
cin>>n;
vector<int> t(n), pref(n), dp(n);
for (int i = 0; i < n; i++) cin>>t[i];
pref[0] = t[0];
for (int i = 1; i < n; i++) pref[i] = max(t[i], pref[i-1]);
CHTMax cht;
cht.add(-n, 0);
for (int i = 0; i < n; i++)
{
dp[i] = -cht.query(pref[i]);
cht.add(-(n-1-i), (-dp[i]));
}
cout<<dp[n-1];
}
signed main()
{
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
solve();
}
컴파일 시 표준 에러 (stderr) 메시지
Discharging.cpp: In member function 'long long int CHTMax::query(long long int)':
Discharging.cpp:41:56: warning: narrowing conversion of 'x' from 'long long int' to 'double' [-Wnarrowing]
41 | Line l = *myLC.lower_bound({ INT_MAX, INT_MAX, x });
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