Submission #1044545

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1044545	2024-08-05T10:35:41 Z	Tob	Long Distance Coach (JOI17_coach)	C++14	100 / 100	108 ms	50348 KB

coach

#include <bits/stdc++.h>

#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

using namespace std;

typedef long long ll;
typedef pair <ll, ll> pii;
typedef long double ld;
typedef pair <ld, ld> pdd;

const int N = 2e5 + 7;

ll h, n, m, w, t;
ll g[N], c[N], d[N], dp[2*N], psh[2*N], pref[2*N], po[2*N];
vector <pair <ll, pii> > v;

bool ccw(pdd x, pdd y, pdd z) {return x.F*(y.S-z.S)+y.F*(z.S-x.S)+z.F*(x.S-y.S) > 0;}

int main () {
	FIO;
	cin >> h >> n >> m >> w >> t;
	for (int i = 0; i < n; i++) cin >> g[i];
	g[n++] = h;
	for (int i = 0; i < m; i++) cin >> d[i] >> c[i];
	
	for (int i = 0; i < n; i++) {
		v.pb({g[i]%t, {i, 0}});
	}
	for (int i = 0; i < m; i++) {
		v.pb({d[i], {i, 1}});
	}
	
	sort(all(v));
	
	vector <pair <int, pdd> > u;
	
	ll la = 0, sh = h/t+1;
	psh[0] = sh;
	for (int i = 0; i < n+m; i++) {
		psh[i+1] = psh[i];
		pref[i+1] = pref[i];
		po[i+1] = po[i];
		int z = v[i].S.F;
		if (!v[i].S.S) {
			dp[i] = la;
			if (z == n-1) sh--;
			ll R = g[z]/t;
			auto f = [&](int x) {return dp[x]+pref[i+1]-pref[x]+R*w*(po[i+1]-po[x])-(psh[i+1]-psh[x])*w;};
			if (u.empty()) continue;
			int lo = 0, hi = u.size()-1;
			while (lo < hi) {
				int mid = (lo + hi) / 2;
				if (f(u[mid].F) < f(u[mid+1].F)) hi = mid;
				else lo = mid+1;
			}
			dp[i] = min(dp[i], f(u[lo].F));
			la = dp[i];
		}
		else {
			po[i+1]++;
			psh[i+1] += sh;
			pref[i+1] += c[z];
			dp[i] = la;
			pdd p = {-po[i], dp[i]-pref[i]+psh[i]*w};
			while (u.size() > 1 && ccw(u[u.size()-2].S, u.back().S, p)) u.pop_back();
			u.pb({i, p});
		}
	}
	cout << dp[n+m-1]+psh[n+m]*w << "\n";

	return 0;
}

Subtask #1
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	8540 KB	Output is correct
2	Correct	1 ms	8540 KB	Output is correct
3	Correct	1 ms	8540 KB	Output is correct
4	Correct	1 ms	8540 KB	Output is correct
5	Correct	1 ms	8536 KB	Output is correct
6	Correct	1 ms	8540 KB	Output is correct
7	Correct	1 ms	8540 KB	Output is correct
8	Correct	1 ms	8540 KB	Output is correct
9	Correct	1 ms	8540 KB	Output is correct
10	Correct	1 ms	8540 KB	Output is correct
11	Correct	1 ms	8540 KB	Output is correct
12	Correct	1 ms	8536 KB	Output is correct
13	Correct	1 ms	8536 KB	Output is correct
14	Correct	1 ms	8540 KB	Output is correct
15	Correct	1 ms	8540 KB	Output is correct
16	Correct	1 ms	8540 KB	Output is correct
17	Correct	1 ms	8660 KB	Output is correct
18	Correct	1 ms	8540 KB	Output is correct
19	Correct	1 ms	8540 KB	Output is correct
20	Correct	1 ms	8540 KB	Output is correct
21	Correct	1 ms	8540 KB	Output is correct
22	Correct	1 ms	8540 KB	Output is correct

Subtask #2
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	8540 KB	Output is correct
2	Correct	1 ms	8540 KB	Output is correct
3	Correct	1 ms	8540 KB	Output is correct
4	Correct	1 ms	8540 KB	Output is correct
5	Correct	1 ms	8536 KB	Output is correct
6	Correct	1 ms	8540 KB	Output is correct
7	Correct	1 ms	8540 KB	Output is correct
8	Correct	1 ms	8540 KB	Output is correct
9	Correct	1 ms	8540 KB	Output is correct
10	Correct	1 ms	8540 KB	Output is correct
11	Correct	1 ms	8540 KB	Output is correct
12	Correct	1 ms	8536 KB	Output is correct
13	Correct	1 ms	8536 KB	Output is correct
14	Correct	1 ms	8540 KB	Output is correct
15	Correct	1 ms	8540 KB	Output is correct
16	Correct	1 ms	8540 KB	Output is correct
17	Correct	1 ms	8660 KB	Output is correct
18	Correct	1 ms	8540 KB	Output is correct
19	Correct	1 ms	8540 KB	Output is correct
20	Correct	1 ms	8540 KB	Output is correct
21	Correct	1 ms	8540 KB	Output is correct
22	Correct	1 ms	8540 KB	Output is correct
23	Correct	1 ms	8540 KB	Output is correct
24	Correct	1 ms	8540 KB	Output is correct
25	Correct	1 ms	8540 KB	Output is correct
26	Correct	1 ms	8540 KB	Output is correct
27	Correct	1 ms	8540 KB	Output is correct
28	Correct	1 ms	8540 KB	Output is correct
29	Correct	1 ms	8540 KB	Output is correct
30	Correct	1 ms	8540 KB	Output is correct
31	Correct	1 ms	8540 KB	Output is correct
32	Correct	1 ms	8540 KB	Output is correct
33	Correct	1 ms	8540 KB	Output is correct
34	Correct	1 ms	8540 KB	Output is correct
35	Correct	1 ms	8540 KB	Output is correct
36	Correct	1 ms	8536 KB	Output is correct
37	Correct	1 ms	8536 KB	Output is correct

Subtask #3
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	8540 KB	Output is correct
2	Correct	1 ms	8540 KB	Output is correct
3	Correct	1 ms	8540 KB	Output is correct
4	Correct	1 ms	8540 KB	Output is correct
5	Correct	1 ms	8536 KB	Output is correct
6	Correct	1 ms	8540 KB	Output is correct
7	Correct	1 ms	8540 KB	Output is correct
8	Correct	1 ms	8540 KB	Output is correct
9	Correct	1 ms	8540 KB	Output is correct
10	Correct	1 ms	8540 KB	Output is correct
11	Correct	1 ms	8540 KB	Output is correct
12	Correct	1 ms	8536 KB	Output is correct
13	Correct	1 ms	8536 KB	Output is correct
14	Correct	1 ms	8540 KB	Output is correct
15	Correct	1 ms	8540 KB	Output is correct
16	Correct	1 ms	8540 KB	Output is correct
17	Correct	1 ms	8660 KB	Output is correct
18	Correct	1 ms	8540 KB	Output is correct
19	Correct	1 ms	8540 KB	Output is correct
20	Correct	1 ms	8540 KB	Output is correct
21	Correct	1 ms	8540 KB	Output is correct
22	Correct	1 ms	8540 KB	Output is correct
23	Correct	1 ms	8540 KB	Output is correct
24	Correct	1 ms	8540 KB	Output is correct
25	Correct	1 ms	8540 KB	Output is correct
26	Correct	1 ms	8540 KB	Output is correct
27	Correct	1 ms	8540 KB	Output is correct
28	Correct	1 ms	8540 KB	Output is correct
29	Correct	1 ms	8540 KB	Output is correct
30	Correct	1 ms	8540 KB	Output is correct
31	Correct	1 ms	8540 KB	Output is correct
32	Correct	1 ms	8540 KB	Output is correct
33	Correct	1 ms	8540 KB	Output is correct
34	Correct	1 ms	8540 KB	Output is correct
35	Correct	1 ms	8540 KB	Output is correct
36	Correct	1 ms	8536 KB	Output is correct
37	Correct	1 ms	8536 KB	Output is correct
38	Correct	2 ms	8796 KB	Output is correct
39	Correct	2 ms	8796 KB	Output is correct
40	Correct	2 ms	8916 KB	Output is correct
41	Correct	1 ms	8796 KB	Output is correct
42	Correct	1 ms	8796 KB	Output is correct
43	Correct	1 ms	8792 KB	Output is correct
44	Correct	1 ms	8796 KB	Output is correct
45	Correct	2 ms	8796 KB	Output is correct
46	Correct	1 ms	8796 KB	Output is correct
47	Correct	2 ms	8796 KB	Output is correct
48	Correct	2 ms	8796 KB	Output is correct
49	Correct	2 ms	8796 KB	Output is correct
50	Correct	1 ms	8796 KB	Output is correct
51	Correct	2 ms	8796 KB	Output is correct

Subtask #4
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	8540 KB	Output is correct
2	Correct	1 ms	8540 KB	Output is correct
3	Correct	1 ms	8540 KB	Output is correct
4	Correct	1 ms	8540 KB	Output is correct
5	Correct	1 ms	8536 KB	Output is correct
6	Correct	1 ms	8540 KB	Output is correct
7	Correct	1 ms	8540 KB	Output is correct
8	Correct	1 ms	8540 KB	Output is correct
9	Correct	1 ms	8540 KB	Output is correct
10	Correct	1 ms	8540 KB	Output is correct
11	Correct	1 ms	8540 KB	Output is correct
12	Correct	1 ms	8536 KB	Output is correct
13	Correct	1 ms	8536 KB	Output is correct
14	Correct	1 ms	8540 KB	Output is correct
15	Correct	1 ms	8540 KB	Output is correct
16	Correct	1 ms	8540 KB	Output is correct
17	Correct	1 ms	8660 KB	Output is correct
18	Correct	1 ms	8540 KB	Output is correct
19	Correct	1 ms	8540 KB	Output is correct
20	Correct	1 ms	8540 KB	Output is correct
21	Correct	1 ms	8540 KB	Output is correct
22	Correct	1 ms	8540 KB	Output is correct
23	Correct	1 ms	8540 KB	Output is correct
24	Correct	1 ms	8540 KB	Output is correct
25	Correct	1 ms	8540 KB	Output is correct
26	Correct	1 ms	8540 KB	Output is correct
27	Correct	1 ms	8540 KB	Output is correct
28	Correct	1 ms	8540 KB	Output is correct
29	Correct	1 ms	8540 KB	Output is correct
30	Correct	1 ms	8540 KB	Output is correct
31	Correct	1 ms	8540 KB	Output is correct
32	Correct	1 ms	8540 KB	Output is correct
33	Correct	1 ms	8540 KB	Output is correct
34	Correct	1 ms	8540 KB	Output is correct
35	Correct	1 ms	8540 KB	Output is correct
36	Correct	1 ms	8536 KB	Output is correct
37	Correct	1 ms	8536 KB	Output is correct
38	Correct	2 ms	8796 KB	Output is correct
39	Correct	2 ms	8796 KB	Output is correct
40	Correct	2 ms	8916 KB	Output is correct
41	Correct	1 ms	8796 KB	Output is correct
42	Correct	1 ms	8796 KB	Output is correct
43	Correct	1 ms	8792 KB	Output is correct
44	Correct	1 ms	8796 KB	Output is correct
45	Correct	2 ms	8796 KB	Output is correct
46	Correct	1 ms	8796 KB	Output is correct
47	Correct	2 ms	8796 KB	Output is correct
48	Correct	2 ms	8796 KB	Output is correct
49	Correct	2 ms	8796 KB	Output is correct
50	Correct	1 ms	8796 KB	Output is correct
51	Correct	2 ms	8796 KB	Output is correct
52	Correct	80 ms	27464 KB	Output is correct
53	Correct	80 ms	33712 KB	Output is correct
54	Correct	82 ms	38284 KB	Output is correct
55	Correct	78 ms	36780 KB	Output is correct
56	Correct	85 ms	33156 KB	Output is correct
57	Correct	76 ms	33420 KB	Output is correct
58	Correct	77 ms	33428 KB	Output is correct
59	Correct	77 ms	34672 KB	Output is correct
60	Correct	82 ms	34996 KB	Output is correct
61	Correct	80 ms	34960 KB	Output is correct
62	Correct	80 ms	34512 KB	Output is correct
63	Correct	104 ms	50348 KB	Output is correct
64	Correct	59 ms	33216 KB	Output is correct
65	Correct	81 ms	33712 KB	Output is correct
66	Correct	81 ms	33448 KB	Output is correct
67	Correct	83 ms	33404 KB	Output is correct
68	Correct	83 ms	32988 KB	Output is correct
69	Correct	83 ms	33552 KB	Output is correct
70	Correct	85 ms	33140 KB	Output is correct
71	Correct	83 ms	34476 KB	Output is correct
72	Correct	93 ms	32920 KB	Output is correct
73	Correct	84 ms	34428 KB	Output is correct
74	Correct	83 ms	34120 KB	Output is correct
75	Correct	81 ms	33424 KB	Output is correct
76	Correct	87 ms	33680 KB	Output is correct
77	Correct	108 ms	44928 KB	Output is correct
78	Correct	83 ms	34220 KB	Output is correct
79	Correct	85 ms	33664 KB	Output is correct
80	Correct	81 ms	32528 KB	Output is correct

Submission #1044545

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