Submission #557240

#TimeUsernameProblemLanguageResultExecution timeMemory
557240CyberSleeperBuilding Bridges (CEOI17_building)C++17
100 / 100
72 ms66476 KiB
#include <bits/stdc++.h> #define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL) #define debug(x) cout << "Line " << __LINE__ << ", " << #x << " is " << x << endl #define all(x) x.begin(), x.end() #define fi first #define se second #define mp make_pair #define pb push_back #define ll long long #define ull unsigned long long #define pll pair<ll, ll> #define pii pair<ll, ll> #define ld long double #define nl '\n' #define tb '\t' #define sp ' ' #define sqr(x) (x)*(x) using namespace std; const ll MX=100005, MOD=1000000007, BLOCK=327, INF=2e9+7; const ll INFF=1000000000000000007; const ld ERR=1e-6, pi=3.14159265358979323846; ll N, H[MX], W[MX], DP[MX], sumW; struct Seg{ #define mi (le+ri)/2 #define idxl (idx*2+1) #define idxr (idx*2+2) ll x; struct line{ ll m=0, c=INFF; }ST[40*MX], now; ll f(line g, ll xx){ return g.m*xx+g.c; } void upd(ll idx, ll le, ll ri){ bool lef=(f(now, le)<f(ST[idx], le)), mid=(f(now, mi)<f(ST[idx], mi)); if(mid) swap(now, ST[idx]); if(le+1==ri) return; if(lef!=mid) upd(idxl, le, mi); else upd(idxr, mi, ri); } ll que(ll idx, ll le, ll ri){ if(le+1==ri) return f(ST[idx], x); if(x<=mi) return min(f(ST[idx], x), que(idxl, le, mi)); return min(f(ST[idx], x), que(idxr, mi, ri)); } void update(ll mm, ll cc){ now.m=mm, now.c=cc; upd(0, 0, 1000000); } ll query(ll xx){ x=xx; return que(0, 0, 1000000); } }LCT; int main(){ fastio; cin >> N; for(ll i=1; i<=N; i++) cin >> H[i]; for(ll i=1; i<=N; i++){ cin >> W[i]; sumW+=W[i]; } DP[1]=sumW-W[1]; LCT.update(-2ll*H[1], sqr(H[1])+DP[1]); for(ll i=2; i<=N; i++){ DP[i]=sqr(H[i])-W[i]+LCT.query(H[i]); LCT.update(-2ll*H[i], sqr(H[i])+DP[i]); } cout << DP[N] << nl; }
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