Submission #826442

#	Time	Username	Problem	Language	Result	Execution time	Memory
826442		MohamedAhmed04	Long Distance Coach (JOI17_coach)	C++14	100 / 100	454 ms	23888 KiB

coach

#pragma GCC optimize("trapv")

#include <bits/stdc++.h>

using namespace std ;

struct Point
{
	long long x , y ;
};

__int128_t f(Point a , __int128_t x)
{
	return (x * a.x + a.y) ;
}

const long long inf = 3e18 ;
const int MAX = 2e5 + 10 ;
const int MAX2 = 1e7 + 10 ;

long long arr[MAX] ;
int n , m ;
long long x , t , w ;

vector< pair<long long , long long> >vp ;

long long val[MAX] , pref[MAX] ;
long long dp[MAX] ;

int L[MAX2] , R[MAX2] ;
Point Line[MAX2] ;
int id = 1 ;

void init()
{
	for(int i = 1 ; i < MAX2 ; ++i)
		Line[i].x = 0 , Line[i].y = inf ;
}

int Left(int node)
{
	if(!L[node])
		L[node] = ++id ;
	return L[node] ;
}

int Right(int node)
{
	if(!R[node])
		R[node] = ++id ;
	return R[node] ;
}

void Add_Line(Point p , int node = 1 , long long l = 0 , long long r = 1e12 + 100)
{
	long long m = l + (r-l) / 2ll ;
	bool lef = f(p , l) < f(Line[node] , l) ;
	bool mid = f(p , m) < f(Line[node] , m) ;
	if(mid)
		swap(Line[node] , p) ;
	if(r-l == 1)
		return ;
	if(lef != mid)
		Add_Line(p , Left(node) , l , m) ;
	else
		Add_Line(p , Right(node) , m , r) ;
}

__int128_t query(long long x , int node = 1 , long long l = 0 , long long r = 1e12 + 100)
{
	long long m = l + (r-l) / 2ll ;
	__int128_t now = f(Line[node] , x) ;
	if(r-l == 1)
		return now ;
	else if(x < m)
		return min(now , query(x , Left(node) , l , m)) ;
	else
		return min(now , query(x , Right(node) , m , r)) ;
}

int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>x>>n>>m>>w>>t ;
	for(int i = 1 ; i <= n ; ++i)
		cin>>arr[i] ;
	for(int i = 1 ; i <= m ; ++i)
	{
		long long a , b ;
		cin>>a>>b ;
		vp.emplace_back(a , b) ;
	}
	vp.emplace_back(0 , 0) ;
	sort(arr+1 , arr+n+1) ;
	sort(vp.begin() , vp.end()) ;
	for(int i = 1 ; i <= m ; ++i)
		val[i] = inf , pref[i] = pref[i-1] + vp[i].second ;
	arr[n+1] = x ;
	for(int i = 1 ; i <= n+1 ; ++i)
	{
		int l = 1 , r = m ;
		int idx = -1 ;
		while(l <= r)
		{
			int mid = (l + r) >> 1 ;
			if(arr[i] % t >= vp[mid].first)
				idx = mid , l = mid+1 ;
			else
				r = mid-1 ;
		}
		if(idx != -1)
			val[idx] = min(val[idx] , arr[i] / t) ;
	}
	Point p ;
	p.x = 0 , p.y = 0 ;
	Add_Line(p) ;
	for(int i = 1 ; i <= m ; ++i)
	{
		dp[i] = dp[i-1] + x/t * w ;
		if(x%t > vp[i].first)
			dp[i] += w ;
		if(val[i] != inf)
		{
			//dp[j] + pref[i] - pref[j] + (i-j) * val[i] * w
			long long a = query(val[i]) ;
			dp[i] = min(dp[i] , pref[i] + i * val[i] * w + a) ;
			//for(int j = i-1 ; j >= 0 ; --j)
			//	dp[i] = min(dp[i] , dp[j] + pref[i] - pref[j] + (i-j) * val[i] * w) ;
		}
		p.x = -i * w , p.y = dp[i] - pref[i] ;
		Add_Line(p) ;
	}
	dp[m] += (x / t + 1) * w ;
	return cout<<dp[m]<<"\n" , 0 ;
}		

• Subtask 1: 16 / 16
• Subtask 2: 30 / 30
• Subtask 3: 25 / 25
• Subtask 4: 29 / 29