oj.uz

Submission #270552

# Submission time Handle Problem Language Result Execution time Memory
270552 2020-08-17T18:08:24 Z MarcoMeijer Building Bridges (CEOI17_building) C++14
0 / 100
 3000 ms 65272 KB 
#include <bits/stdc++.h>
using namespace std;

// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }

// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }

//===================//
//  Added libraries  //
//===================//

// geometry
typedef complex<ll> point;
#define x real
#define y imag

ll dot(point a, point b) {
    return (conj(a) * b).x();
}

ll f(point a, ll x) {
    return dot(a, {x, 1});
}

//===================//
//end added libraries//
//===================//

void program();
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    program();
}


//===================//
//   begin program   //
//===================//

const int MX = 1e6+10;

int n;
ll h[MX], w[MX];

ll dp[MX];

ll SQ(ll x) {return x*x;}

point SEG[MX*4];

void addLine(point v, int p=0, int l=0, int r=n) {
    int m = (l+r)/2;
    bool lef = f(v, l) < f(SEG[p], l);
    bool mid = f(v, m) < f(SEG[p], m);
    if(mid) swap(SEG[p], v);
    if(l+1 == r) return;
    if(lef != mid) {
        addLine(v, p*2+1, l, m);
    } else {
        addLine(v, p*2+2, m, r);
    }
}
ll get(int x, int p=0, int l=0, int r=n) {
    int m = (l+r)/2;
    if(l+1 == r) {
        return f(SEG[p], x);
    } else if(x < m) {
        return min(f(SEG[p], x), get(x, 2*p+1, l, m));
    } else {
        return min(f(SEG[p], x), get(x, 2*p+2, m, r));
    }
}

void program() {
    IN(n);
    RE(i,n) IN(h[i]);
    RE(i,n) IN(w[i]);

    ll totW = 0;
    RE(i,n) totW += w[i];

    RE(i,MX*4) SEG[i] = point(0,INF);

    dp[0] = -w[0];
    addLine(point(-2*h[0], dp[0] + h[0]*h[0]));

    REP(i,1,n) {
        dp[i] = get(h[i]) + h[i]*h[i] - w[i];
        REP(j,0,i)
            dp[i] = min(dp[i], dp[j] + h[j]*h[j] - 2*h[i]*h[j] );
        dp[i] += h[i]*h[i] - w[i];
        addLine(point(-2*h[i], dp[i] + h[i]*h[i]));
    }

    ll ans = dp[n-1] + totW;
    OUTL(ans);
}

Subtask #1
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 62968 KB Output is correct
2 Correct 34 ms 62968 KB Output is correct
3 Incorrect 34 ms 62976 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #2
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3077 ms 65272 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 62968 KB Output is correct
2 Correct 34 ms 62968 KB Output is correct
3 Incorrect 34 ms 62976 KB Output isn't correct
4 Halted 0 ms 0 KB -