Submission #826443

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
826443	2023-08-15T15:01:34 Z	MohamedAhmed04	Long Distance Coach (JOI17_coach)	C++14	100 / 100	267 ms	19356 KB

coach

#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) ;
		}
		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	1 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	0 ms	340 KB	Output is correct
9	Correct	0 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	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	1 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	0 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	1 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	0 ms	340 KB	Output is correct
9	Correct	0 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	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	1 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	0 ms	340 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	0 ms	340 KB	Output is correct
25	Correct	0 ms	340 KB	Output is correct
26	Correct	0 ms	340 KB	Output is correct
27	Correct	0 ms	340 KB	Output is correct
28	Correct	0 ms	340 KB	Output is correct
29	Correct	0 ms	340 KB	Output is correct
30	Correct	0 ms	340 KB	Output is correct
31	Correct	0 ms	340 KB	Output is correct
32	Correct	0 ms	340 KB	Output is correct
33	Correct	0 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	1 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	0 ms	340 KB	Output is correct
9	Correct	0 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	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	1 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	0 ms	340 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	0 ms	340 KB	Output is correct
25	Correct	0 ms	340 KB	Output is correct
26	Correct	0 ms	340 KB	Output is correct
27	Correct	0 ms	340 KB	Output is correct
28	Correct	0 ms	340 KB	Output is correct
29	Correct	0 ms	340 KB	Output is correct
30	Correct	0 ms	340 KB	Output is correct
31	Correct	0 ms	340 KB	Output is correct
32	Correct	0 ms	340 KB	Output is correct
33	Correct	0 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	2 ms	468 KB	Output is correct
39	Correct	2 ms	596 KB	Output is correct
40	Correct	2 ms	852 KB	Output is correct
41	Correct	2 ms	468 KB	Output is correct
42	Correct	2 ms	468 KB	Output is correct
43	Correct	2 ms	468 KB	Output is correct
44	Correct	2 ms	724 KB	Output is correct
45	Correct	2 ms	468 KB	Output is correct
46	Correct	2 ms	596 KB	Output is correct
47	Correct	2 ms	596 KB	Output is correct
48	Correct	2 ms	596 KB	Output is correct
49	Correct	3 ms	468 KB	Output is correct
50	Correct	2 ms	468 KB	Output is correct
51	Correct	2 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	1 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	0 ms	340 KB	Output is correct
9	Correct	0 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	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	0 ms	340 KB	Output is correct
18	Correct	1 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	0 ms	340 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	0 ms	340 KB	Output is correct
25	Correct	0 ms	340 KB	Output is correct
26	Correct	0 ms	340 KB	Output is correct
27	Correct	0 ms	340 KB	Output is correct
28	Correct	0 ms	340 KB	Output is correct
29	Correct	0 ms	340 KB	Output is correct
30	Correct	0 ms	340 KB	Output is correct
31	Correct	0 ms	340 KB	Output is correct
32	Correct	0 ms	340 KB	Output is correct
33	Correct	0 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	2 ms	468 KB	Output is correct
39	Correct	2 ms	596 KB	Output is correct
40	Correct	2 ms	852 KB	Output is correct
41	Correct	2 ms	468 KB	Output is correct
42	Correct	2 ms	468 KB	Output is correct
43	Correct	2 ms	468 KB	Output is correct
44	Correct	2 ms	724 KB	Output is correct
45	Correct	2 ms	468 KB	Output is correct
46	Correct	2 ms	596 KB	Output is correct
47	Correct	2 ms	596 KB	Output is correct
48	Correct	2 ms	596 KB	Output is correct
49	Correct	3 ms	468 KB	Output is correct
50	Correct	2 ms	468 KB	Output is correct
51	Correct	2 ms	468 KB	Output is correct
52	Correct	205 ms	13092 KB	Output is correct
53	Correct	267 ms	18088 KB	Output is correct
54	Correct	145 ms	12472 KB	Output is correct
55	Correct	149 ms	12704 KB	Output is correct
56	Correct	149 ms	12216 KB	Output is correct
57	Correct	150 ms	14688 KB	Output is correct
58	Correct	149 ms	12656 KB	Output is correct
59	Correct	155 ms	12648 KB	Output is correct
60	Correct	145 ms	12532 KB	Output is correct
61	Correct	145 ms	12580 KB	Output is correct
62	Correct	148 ms	12944 KB	Output is correct
63	Correct	167 ms	19356 KB	Output is correct
64	Correct	123 ms	9784 KB	Output is correct
65	Correct	212 ms	15892 KB	Output is correct
66	Correct	205 ms	15368 KB	Output is correct
67	Correct	210 ms	16624 KB	Output is correct
68	Correct	229 ms	16152 KB	Output is correct
69	Correct	181 ms	12984 KB	Output is correct
70	Correct	185 ms	13036 KB	Output is correct
71	Correct	182 ms	13084 KB	Output is correct
72	Correct	181 ms	13100 KB	Output is correct
73	Correct	180 ms	12896 KB	Output is correct
74	Correct	180 ms	12560 KB	Output is correct
75	Correct	178 ms	12468 KB	Output is correct
76	Correct	179 ms	12448 KB	Output is correct
77	Correct	149 ms	9928 KB	Output is correct
78	Correct	146 ms	9912 KB	Output is correct
79	Correct	179 ms	13164 KB	Output is correct
80	Correct	181 ms	13164 KB	Output is correct

Submission #826443

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