Submission #826442

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
826442	2023-08-15T15:00:34 Z	MohamedAhmed04	Long Distance Coach (JOI17_coach)	C++14	100 / 100	454 ms	23888 KB

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
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	0 ms	340 KB	Output is correct
19	Correct	0 ms	340 KB	Output is correct
20	Correct	0 ms	340 KB	Output is correct
21	Correct	0 ms	340 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct

Subtask #2
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	0 ms	340 KB	Output is correct
19	Correct	0 ms	340 KB	Output is correct
20	Correct	0 ms	340 KB	Output is correct
21	Correct	0 ms	340 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	0 ms	340 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	0 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	340 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	340 KB	Output is correct
33	Correct	1 ms	340 KB	Output is correct
34	Correct	0 ms	340 KB	Output is correct
35	Correct	1 ms	340 KB	Output is correct
36	Correct	0 ms	340 KB	Output is correct
37	Correct	1 ms	340 KB	Output is correct

Subtask #3
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	0 ms	340 KB	Output is correct
19	Correct	0 ms	340 KB	Output is correct
20	Correct	0 ms	340 KB	Output is correct
21	Correct	0 ms	340 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	0 ms	340 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	0 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	340 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	340 KB	Output is correct
33	Correct	1 ms	340 KB	Output is correct
34	Correct	0 ms	340 KB	Output is correct
35	Correct	1 ms	340 KB	Output is correct
36	Correct	0 ms	340 KB	Output is correct
37	Correct	1 ms	340 KB	Output is correct
38	Correct	3 ms	468 KB	Output is correct
39	Correct	4 ms	596 KB	Output is correct
40	Correct	4 ms	852 KB	Output is correct
41	Correct	3 ms	488 KB	Output is correct
42	Correct	4 ms	468 KB	Output is correct
43	Correct	3 ms	468 KB	Output is correct
44	Correct	4 ms	724 KB	Output is correct
45	Correct	3 ms	468 KB	Output is correct
46	Correct	4 ms	596 KB	Output is correct
47	Correct	4 ms	596 KB	Output is correct
48	Correct	4 ms	596 KB	Output is correct
49	Correct	3 ms	468 KB	Output is correct
50	Correct	5 ms	468 KB	Output is correct
51	Correct	3 ms	468 KB	Output is correct

Subtask #4
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	0 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Correct	0 ms	340 KB	Output is correct
6	Correct	0 ms	340 KB	Output is correct
7	Correct	0 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	0 ms	340 KB	Output is correct
12	Correct	0 ms	340 KB	Output is correct
13	Correct	0 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	0 ms	340 KB	Output is correct
19	Correct	0 ms	340 KB	Output is correct
20	Correct	0 ms	340 KB	Output is correct
21	Correct	0 ms	340 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	0 ms	340 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	1 ms	340 KB	Output is correct
26	Correct	1 ms	340 KB	Output is correct
27	Correct	1 ms	340 KB	Output is correct
28	Correct	0 ms	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	1 ms	340 KB	Output is correct
31	Correct	1 ms	340 KB	Output is correct
32	Correct	1 ms	340 KB	Output is correct
33	Correct	1 ms	340 KB	Output is correct
34	Correct	0 ms	340 KB	Output is correct
35	Correct	1 ms	340 KB	Output is correct
36	Correct	0 ms	340 KB	Output is correct
37	Correct	1 ms	340 KB	Output is correct
38	Correct	3 ms	468 KB	Output is correct
39	Correct	4 ms	596 KB	Output is correct
40	Correct	4 ms	852 KB	Output is correct
41	Correct	3 ms	488 KB	Output is correct
42	Correct	4 ms	468 KB	Output is correct
43	Correct	3 ms	468 KB	Output is correct
44	Correct	4 ms	724 KB	Output is correct
45	Correct	3 ms	468 KB	Output is correct
46	Correct	4 ms	596 KB	Output is correct
47	Correct	4 ms	596 KB	Output is correct
48	Correct	4 ms	596 KB	Output is correct
49	Correct	3 ms	468 KB	Output is correct
50	Correct	5 ms	468 KB	Output is correct
51	Correct	3 ms	468 KB	Output is correct
52	Correct	347 ms	12992 KB	Output is correct
53	Correct	454 ms	23888 KB	Output is correct
54	Correct	325 ms	17384 KB	Output is correct
55	Correct	317 ms	17792 KB	Output is correct
56	Correct	313 ms	17672 KB	Output is correct
57	Correct	315 ms	20040 KB	Output is correct
58	Correct	336 ms	18384 KB	Output is correct
59	Correct	316 ms	17668 KB	Output is correct
60	Correct	312 ms	17488 KB	Output is correct
61	Correct	327 ms	17636 KB	Output is correct
62	Correct	371 ms	18124 KB	Output is correct
63	Correct	374 ms	23208 KB	Output is correct
64	Correct	289 ms	15688 KB	Output is correct
65	Correct	440 ms	21688 KB	Output is correct
66	Correct	432 ms	21316 KB	Output is correct
67	Correct	417 ms	22368 KB	Output is correct
68	Correct	419 ms	21992 KB	Output is correct
69	Correct	355 ms	18520 KB	Output is correct
70	Correct	338 ms	18460 KB	Output is correct
71	Correct	362 ms	18508 KB	Output is correct
72	Correct	333 ms	18512 KB	Output is correct
73	Correct	361 ms	18400 KB	Output is correct
74	Correct	354 ms	18112 KB	Output is correct
75	Correct	347 ms	18208 KB	Output is correct
76	Correct	354 ms	18172 KB	Output is correct
77	Correct	311 ms	15252 KB	Output is correct
78	Correct	315 ms	15644 KB	Output is correct
79	Correct	377 ms	18268 KB	Output is correct
80	Correct	340 ms	18400 KB	Output is correct

Submission #826442

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 30.0 / 30.0

Subtask #3 25.0 / 25.0

Subtask #4 29.0 / 29.0

Subtask #1
16.0 / 16.0

Subtask #2
30.0 / 30.0

Subtask #3
25.0 / 25.0

Subtask #4
29.0 / 29.0