oj.uz

Submission #94608

# Submission time Handle Problem Language Result Execution time Memory
94608 2019-01-21T16:05:02 Z jasony123123 Building Bridges (CEOI17_building) C++11
100 / 100
 77 ms 17272 KB 
#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(ll _m, ll _b) : m(_m), b(_b) {}
	inline ll eval(int x) { return m*x + b; }
};

struct TNode {
	const static int SZ = 1000000;
	Line data;
	TNode* C[2];

	TNode() {
		C[0] = C[1] = NULL;
		data = Line(0, LLONG_MAX); // change for min/max
	}

	inline TNode* get(int c) {
		if (!C[c]) C[c] = new TNode();
		return C[c];
	}

	void upd(Line nLine, int L = 0, int R = SZ - 1) {
		int mid = (L + R) / 2;
		if (nLine.eval(mid) < data.eval(mid)) swap(nLine, data);
		if (L == R) return;
		if (nLine.eval(L) < data.eval(L)) get(0)->upd(nLine, L, mid);
		else get(1)->upd(nLine, mid + 1, R);
	}

	ll query(int x, int L = 0, int R = SZ - 1) {
		int mid = (L + R) / 2;
		ll s = data.eval(x);
		if (L < R) {
			if (x <= mid) minn(s, get(0)->query(x, L, mid));
			else minn(s, get(1)->query(x, mid + 1, R));
		}
		return s;
	}
};

const int MAXN = 100000;
int N;
ll H[MAXN], W[MAXN];
TNode 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.upd(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]));
	}
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 504 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 2680 KB Output is correct
2 Correct 48 ms 2680 KB Output is correct
3 Correct 48 ms 2680 KB Output is correct
4 Correct 39 ms 2152 KB Output is correct
5 Correct 49 ms 13432 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 504 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 48 ms 2680 KB Output is correct
7 Correct 48 ms 2680 KB Output is correct
8 Correct 48 ms 2680 KB Output is correct
9 Correct 39 ms 2152 KB Output is correct
10 Correct 49 ms 13432 KB Output is correct
11 Correct 67 ms 9336 KB Output is correct
12 Correct 77 ms 9464 KB Output is correct
13 Correct 38 ms 2040 KB Output is correct
14 Correct 77 ms 9464 KB Output is correct
15 Correct 56 ms 17272 KB Output is correct
16 Correct 53 ms 13432 KB Output is correct
17 Correct 31 ms 1912 KB Output is correct
18 Correct 31 ms 1912 KB Output is correct