# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
159249 | 2019-10-21T16:11:57 Z | nvmdava | Building Bridges (CEOI17_building) | C++17 | 0 ms | 0 KB |
#include <bits/stdc++.h> using namespace std; #define ll long long #define ff first #define ss second #define pb push_back mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); #define N 100005 #define INF 0x3f3f3f3f3f3f3f3f ll h[N], p[N]; ll dp[N]; struct Line{ mutable ll x; ll y, d; bool operator<(const Line& rhs) const { return d < rhs.d; } bool operator<(const ll rhs) const { return x < rhs; } Line(ll _y, ll _d){ y = _y; d = _d; } }; struct LineContainer : multiset<Line, less<>> { ll query(ll x){ auto it = lower_bound(x); return it -> y - it -> d * x; } bool fix(iterator l, iterator r){ if(r == end()){ l -> x = INF; return 0; } if(l -> d == r -> d) l -> x = (l -> y <= r -> y ? -INF : INF); else l -> x = (r -> y - l -> y) / (r -> d - l -> d); return l -> x >= r -> x; } void update(ll y, ll d){ auto it = insert(Line(y, d)).ff, l = it++; while(fix(l, it)) it = erase(it); if(l == begin()) return; it = l--; if(fix(l, it)) fix(l, it = erase(it)); while((it = l) != begin() && (--l) -> x >= it -> x) fix(l, erase(it)); } } ch; int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n; cin>>n; for(int i = 1; i <= n; i++) cin>>h[i]; for(int i = 1; i <= n; i++){ cin>>p[i]; p[i] += p[i - 1]; } ch.update(0 + h[1] * h[1] - p[1], 2 * h[1]); for(int i = 2; i <= n; i++){ dp[i] = p[i - 1] + h[i] * h[i] + ch.query(h[i]); ch.update(dp[i] + h[i] * h[i] - p[i], 2 * h[i]); } cout<<dp[n]; }