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Submission #276261

# Submission time Handle Problem Language Result Execution time Memory
276261 2020-08-20T11:46:56 Z anubhavdhar Building Bridges (CEOI17_building) C++11
100 / 100
 151 ms 11384 KB 
#include<bits/stdc++.h>

#define ll long long
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define pll pair<ll, ll>
#define ff first 
#define ss second
#define vi vector<int>
#define vl vector<ll>
#define vii vector<pii>
#define vll vector<pll>
#define FOR(i,N) for(i=0;i<(N);++i)
#define FORe(i,N) for(i=1;i<=(N);++i)
#define FORr(i,a,b) for(i=(a);i<(b);++i)
#define FORrev(i,N) for(i=(N);i>=0;--i)
#define F0R(i,N) for(int i=0;i<(N);++i)
#define F0Re(i,N) for(int i=1;i<=(N);++i)
#define F0Rr(i,a,b) for(ll i=(a);i<(b);++i)
#define F0Rrev(i,N) for(int i=(N);i>=0;--i)
#define all(v) (v).begin(),(v).end()
#define dbgLine cerr<<" LINE : "<<__LINE__<<"\n"
#define ldd long double

using namespace std;

const int Alp = 26;
const int __PRECISION = 9;
const int inf = 1e9 + 8;

const ldd PI = acos(-1);
const ldd EPS = 1e-7;

const ll MOD = 1e9 + 7;
const ll MAXN = 1e5 + 5;
const ll ROOTN = 320;
const ll LOGN = 18;
const ll INF = 1e18 + 1022;

int N;
ll dp[MAXN], pre[MAXN], h[MAXN];

struct line
{
	mutable ll m, c, p, isline;
	bool operator < (const line& o) const { return ((o.isline) ? (m < o.m) : (p < o.p));}
};

struct CHT : multiset<line>
{
	ll mode;
	CHT() { mode = 1;}
	inline void set_mode(string s){if(s[1] == 'i' or s[1] == 'I') mode = -1;}
	ll div(ll a, ll b) {return (a/b - ((a^b)<0 && a%b));}
	bool isect(iterator x, iterator y)
	{
		if(y == end()) {x->p = INF; return false;}
		if(x->m == y->m) x->p = (x->c > y->c) ? INF : -INF;
		else x->p = div((y->c - x->c),(x->m - y->m));
		return x->p >= y->p;
	}
	void add(ll sl, ll in)
	{
		auto z = insert({mode*sl, mode*in, 0, 1}), y = z++, x = y;
		while(isect(y, z))	z = erase(z);
		if(x != begin() and isect(--x, y))	isect(x, y = erase(y));
		while((y=x) != begin() and (--x)->p >= y->p)	isect(x, erase(y));
	}
	ll query(ll x)
	{
		assert(!empty());
		auto l = *lower_bound({0, 0, x, 0});
		return mode*(l.m * x + l.c);
	}
}box;

signed main()
{

	/*
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	*/

	ll w;
	cin>>N;
	F0R(i, N)
		cin>>h[i];
	F0R(i, N)
		cin>>w, pre[i] = w + ((i == 0) ? 0 : pre[i-1]);

	box.set_mode("min");

	dp[0] = 0;
	box.add( - 2*h[0], h[0]*h[0] + dp[0] - pre[0]);

	F0Re(i, N-1)
	{
		dp[i] = (h[i] * h[i] + pre[i-1]) + box.query(h[i]);
		box.add(- 2*h[i], h[i]*h[i] + dp[i] - pre[i]);
	}
	
	//F0R(i, N)
	//	cout<<"dp["<<i<<"] = "<<dp[i]<<'\n';
	cout<<dp[N-1]<<'\n';

	return 0;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 136 ms 3756 KB Output is correct
2 Correct 136 ms 3788 KB Output is correct
3 Correct 141 ms 3832 KB Output is correct
4 Correct 123 ms 3592 KB Output is correct
5 Correct 125 ms 5112 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 136 ms 3756 KB Output is correct
7 Correct 136 ms 3788 KB Output is correct
8 Correct 141 ms 3832 KB Output is correct
9 Correct 123 ms 3592 KB Output is correct
10 Correct 125 ms 5112 KB Output is correct
11 Correct 151 ms 3900 KB Output is correct
12 Correct 141 ms 3780 KB Output is correct
13 Correct 132 ms 3832 KB Output is correct
14 Correct 146 ms 4088 KB Output is correct
15 Correct 137 ms 11384 KB Output is correct
16 Correct 124 ms 5116 KB Output is correct
17 Correct 114 ms 3764 KB Output is correct
18 Correct 116 ms 3768 KB Output is correct