Submission #777299

# Submission time Handle Problem Language Result Execution time Memory
777299 2023-07-09T02:42:16 Z horiiseun Building Bridges (CEOI17_building) C++17
30 / 100
3000 ms 3516 KB
#include <iostream>
#include <vector>
#include <tuple>
#include <queue>
#include <stack>
#include <deque>
#include <set>
#include <map>
#include <cmath>
#include <random>
#include <string>
#include <bitset>
#include <cassert>
#include <climits>
#include <algorithm>
#include <unordered_set>
#include <unordered_map>
using namespace std;
 
#define ll long long
#define f first
#define s second
 
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
 
template<typename A> void __print(const A &x);
template<typename A, typename B> void __print(const pair<A, B> &p);
template<typename... A> void __print(const tuple<A...> &t);
template<typename T> void __print(stack<T> s);
template<typename T> void __print(queue<T> q);
template<typename T, typename... U> void __print(priority_queue<T, U...> q);
 
template<typename A> void __print(const A &x) {
    bool first = true;
    cerr << '{';
    for (const auto &i : x) {
        cerr << (first ? "" : ","), __print(i);
        first = false;
    }
    cerr << '}';
}
 
template<typename A, typename B> void __print(const pair<A, B> &p) {
    cerr << '(';
    __print(p.f);
    cerr << ',';
    __print(p.s);
    cerr << ')';
}
 
template<typename... A> void __print(const tuple<A...> &t) {
    bool first = true;
    cerr << '(';
    apply([&first] (const auto &...args) { ((cerr << (first ? "" : ","), __print(args), first = false), ...); }, t);
    cerr << ')';
}
 
template<typename T> void __print(stack<T> s) {
    vector<T> debugVector;
    while (!s.empty()) {
        T t = s.top();
        debugVector.push_back(t);
        s.pop();
    }
    reverse(debugVector.begin(), debugVector.end());
    __print(debugVector);
}
 
template<typename T> void __print(queue<T> q) {
    vector<T> debugVector;
    while (!q.empty()) {
        T t = q.front();
        debugVector.push_back(t);
        q.pop();
    }
    __print(debugVector);
}
 
template<typename T, typename... U> void __print(priority_queue<T, U...> q) {
    vector<T> debugVector;
    while (!q.empty()) {
        T t = q.top();
        debugVector.push_back(t);
        q.pop();
    }
    __print(debugVector);
}
 
void _print() { cerr << "]\n"; }
 
template <typename Head, typename... Tail> void _print(const Head &H, const Tail &...T) {
    __print(H);
    if (sizeof...(T)) cerr << ", ";
    _print(T...);
}
 
#ifdef DEBUG
	#define D(...) cerr << "Line: " << __LINE__ << " [" << #__VA_ARGS__ << "] = ["; _print(__VA_ARGS__)
#else
    #define D(...)
#endif

const double EPS = numeric_limits<double>::epsilon();

struct Line {
    ll m;
    ll c;
    double p;
};

struct CHT {
    vector<Line> lines;

    double getX(ll m1, ll c1, ll m2, ll c2) {
        return (double) (c1 - c2) / (double) (m2 - m1 + EPS);
    }

    void addLine(ll m, ll c) {
        double p = LLONG_MIN;
        while (!lines.empty()) {
            p = getX(m, c, lines.back().m, lines.back().c);
            if (p < lines.back().p - EPS) lines.pop_back();
            else break;
        }
        lines.push_back({m, c, p});
    }

    ll getY(ll x) {
        int l = 0, r = lines.size() - 1, ret = 0;
        while (l <= r) {
            int m = (l + r) / 2;
            if (lines[m].p <= x + EPS) {
                ret = m;
                l = m + 1;
            } else {
                r = m - 1;
            }
        }
        return lines[ret].m * x + lines[ret].c;
    }

    CHT() {}
} ch;

int n;
vector<ll> h, pref;
ll dp[100005];

int main() {

    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> n;
    h.resize(n + 1, 0);
    pref.resize(n + 1, 0);
    for (int i = 1; i <= n; i++) {
        cin >> h[i];
    }
    for (int i = 1; i <= n; i++) {
        cin >> pref[i];
        pref[i] += pref[i - 1];
    }

    dp[1] = 0;
    for (int i = 2; i <= n; i++) {
        dp[i] = 1e18;
        for (int j = 1; j < i; j++) {
            dp[i] = min(dp[i], dp[j] + (h[i] - h[j]) * (h[i] - h[j]) + pref[i - 1] - pref[j]);
        }
    }

    cout << dp[n] << "\n";

}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 3042 ms 3516 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Execution timed out 3042 ms 3516 KB Time limit exceeded
7 Halted 0 ms 0 KB -