Submission #938585

#TimeUsernameProblemLanguageResultExecution timeMemory
938585VMaksimoski008Building Bridges (CEOI17_building)C++14
0 / 100
81 ms128072 KiB
#include <bits/stdc++.h> #define sz(x) (int)x.size() #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() //#define int long long using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pii = pair<int, int>; using pll = pair<ll, ll>; const int mod = 1e9 + 7; const int LOG = 20; const int maxn = 2e6 + 5; const double eps = 1e-9; struct Line { ll m, b; ll operator()(ll x) { return m * x + b; } }; struct LiChao { int n; vector<Line> tree; LiChao(int _n) { n = _n + 5; tree.resize(4*n); } void insert(int u, int tl, int tr, Line seg) { if(tl + 1 == tr) { if(seg(tl) > tree[u](tl)) tree[u] = seg; return ; } int tm = (tl + tr) / 2; if(tree[u].m > seg.m) swap(tree[u], seg); if(tree[u](tm) < seg(tm)) { swap(tree[u], seg); insert(2*u+1, tl, tm, seg); } else insert(2*u+2, tm, tr, seg); } ll query(int u, int tl, int tr, int p) { if(tl + 1 == tr) return tree[u](p); int tm = (tl + tr) / 2; if(p < tm) return max(tree[u](p), query(2*u+1, tl, tm, p)); return max(tree[u](p), query(2*u+2, tm, tr, p)); } void insert(Line line) { insert(0, 0, n, line); } ll query(ll v) { return query(0, 0, n, v); } }; int main() { int n; ll tot = 0; cin >> n; vector<ll> dp(n+1), h(n+1), w(n+1); LiChao cht(maxn); for(int i=1; i<=n; i++) cin >> h[i]; for(int i=1; i<=n; i++) cin >> w[i], tot += w[i]; dp[1] = -w[1]; for(int i=2; i<=n; i++) { cht.insert({ 2 * h[i-1], -dp[i-1] - h[i-1] * h[i-1] }); dp[i] = -cht.query(h[i]) - w[i] + h[i] * h[i]; } cout << tot + dp[n] << '\n'; return 0; }
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