Submission #94575

#TimeUsernameProblemLanguageResultExecution timeMemory
94575jasony123123Building Bridges (CEOI17_building)C++11
30 / 100
85 ms64508 KiB
#define _CRT_SECURE_NO_WARNINGS #include <bits/stdc++.h> //#include <ext/pb_ds/tree_policy.hpp> //#include <ext/pb_ds/assoc_container.hpp> using namespace std; //using namespace __gnu_pbds; #define FOR(i,start,end) for(int i=start;i<(int)(end);i++) #define FORE(i,start,end) for(int i=start;i<=(int)end;i++) #define RFOR(i,start,end) for(int i = start; i>end; i--) #define RFORE(i,start,end) for(int i = start; i>=end; i--) #define all(a) a.begin(), a.end() #define mt make_tuple #define mp make_pair #define v vector #define sf scanf #define pf printf #define dvar(x) cout << #x << " := " << x << "\n" #define darr(x,n) FOR(i,0,n) cout << #x << "[" << i << "]" << " := " << x[i] << "\n" typedef long long ll; typedef long double ld; typedef pair<int, int > pii; typedef pair<ll, ll> pll; //template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; template<class T> void minn(T &a, T b) { a = min(a, b); } template<class T> void maxx(T &a, T b) { a = max(a, b); } void io() { #ifdef LOCAL_PROJECT freopen("input.in", "r", stdin); freopen("output.out", "w", stdout); #else /* online submission */ #endif ios_base::sync_with_stdio(false); cin.tie(NULL); } const ll MOD = 1000000007LL; const ll PRIME = 105943LL; const ll INF = 1e18; /********************CEOI 2017 Day 2 Problem 1******************************/ struct Line { ll m, b; Line () {} Line(int _m, int _b) : m(_m), b(_b) {} ll eval(int x) { return m*x + b; } }; template <int SZ> struct LiChao { int n; Line st[SZ * 4]; LiChao() {} void init(Line def, int N = SZ) { fill(st, st + SZ * 4, def); } void upd(Line nLine, int ind = 1, int L = 0, int R = SZ - 1) { int mid = (L + R) / 2; if (nLine.eval(mid) < st[ind].eval(mid)) swap(nLine, st[ind]); if (L == R) return; if (nLine.eval(L) < st[ind].eval(L)) upd(nLine, 2 * ind, L, mid); else upd(nLine, 2 * ind + 1, mid + 1, R); } ll query(int x, int ind = 1, int L = 0, int R = SZ - 1) { int mid = (L + R) / 2; ll s = st[ind].eval(x); if (L < R) { if (x <= mid) s = min(query(x, 2 * ind, L, mid), s); else s = min(query(x, 2 * ind + 1, mid + 1, R), s); } return s; } }; const int MAXN = 100000; int N; ll H[MAXN], W[MAXN]; LiChao<1000099> tree; int main() { io(); cin >> N; FOR(i, 0, N) cin >> H[i]; FOR(i, 0, N) cin >> W[i]; FOR(i, 1, N) W[i] += W[i - 1]; tree.init(Line(-2 * H[0], H[0] * H[0] + 0 - W[0])); FOR(i, 1, N) { ll dp = tree.query(H[i]) + W[i - 1] + H[i] * H[i]; if (i == N - 1) { cout << dp << "\n"; } tree.upd(Line(-2 * H[i], H[i] * H[i] + dp - W[i])); } }
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