Submission #1007913

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1007913	2024-06-25T18:51:14 Z	beaboss	Long Distance Coach (JOI17_coach)	C++14	71 / 100	2000 ms	24916 KB

coach

// Source: https://oj.uz/problem/view/JOI17_coach?locale=en
// 

#include "bits/stdc++.h"

using namespace std;

#define s second
#define f first
#define pb push_back

typedef long long ll;
#define int long long

typedef pair<int, int> pii;
typedef vector<pii> vpii;

typedef vector<int> vi;

#define FOR(i, a, b) for (int i = (a); i<b; i++)

bool ckmin(int& a, int b){ return b < a ? a = b, true : false; }

bool ckmax(int& a, int b){ return b > a ? a = b, true : false; }

const int INF = 2e18;

struct Line {
	int m, b;
	int evalX(int x) {
		return m * x + b;
	}
	double isectX(Line l) {
		return ((double) l.b - (double) b) / ((double) m - (double) l.m);
	}
};

deque<Line> line;
void add(Line l) {
	while (line.size() > 0 && line[0].m == l.m) {
		if (l.b < line[0].b) line.pop_front();
		else return;
	}
	while (line.size() > 1 && line[0].isectX(line[1]) < l.isectX(line[1])) line.pop_front();
	line.push_front(l);

}

int query(int pos) {
	int best = 0;

	for (auto val: line) best = min(best, val.evalX(pos));
	return best;
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);

	int x, n, m, w, t;
	cin >> x >> n >> m >> w >> t;
	m++;

	vector<array<int, 3> > all(n + m + 1, {-1, -1, 1});

	FOR(i, 1, n + 1) {
		cin >> all[i][1];
		all[i][0] = all[i][1] % t;
		all[i][2] = 0;
	}	
	FOR(i, n + 1, n + m) cin >> all[i][0] >> all[i][1];	
	all[n + m] = {x % t, x, 0};


	sort(all.begin(), all.end());

	vi prefc(n + m + 1, 0);
	vi cnt(n + m + 1, 0);
	for (int i = 1; i <= n + m; i++) {
		prefc[i] = prefc[i-1] + all[i][1] * all[i][2];
		cnt[i] = cnt[i-1] + all[i][2];
	}
	vi dp(n + m + 1, 0);
	int periods = (x / t);

	// add({0, 0});

	for (int i = 1; i <= n + m; i++) {
		// cout << all[i][0] << ' ' << all[i][1] << ' ' << all[i][2] << endl;
		if (all[i][2] == 0) { // refill point
			int skip = (all[i][1] - all[i][0]) / t;
			dp[i] = min(dp[i-1], query(-skip * w) + prefc[i] + skip * w * cnt[i]);
			// ckmin(dp[i], 0);
			// for (int j = 0; j < i; j++) {
			// 	int skip = (all[i][1] - all[i][0]) / t;
			// 	ckmin(dp[i], prefc[i] + skip * w * cnt[i] - skip * w * cnt[j] - prefc[j] + dp[j]);
			// }
		} else {
			dp[i] = dp[i-1] + w * (periods + (all[i][0] <= (x % t)));
		}

		add({cnt[i], -prefc[i] + dp[i]});


	}

	cout << dp[n + m] + (periods + 1ll) * w << endl;




}

Subtask #1
16.0 / 16.0

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

Subtask #2
30.0 / 30.0

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

Subtask #3
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	0 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	348 KB	Output is correct
37	Correct	0 ms	348 KB	Output is correct
38	Correct	1 ms	604 KB	Output is correct
39	Correct	1 ms	604 KB	Output is correct
40	Correct	1 ms	552 KB	Output is correct
41	Correct	1 ms	604 KB	Output is correct
42	Correct	1 ms	604 KB	Output is correct
43	Correct	1 ms	604 KB	Output is correct
44	Correct	1 ms	604 KB	Output is correct
45	Correct	1 ms	604 KB	Output is correct
46	Correct	2 ms	604 KB	Output is correct
47	Correct	1 ms	604 KB	Output is correct
48	Correct	1 ms	600 KB	Output is correct
49	Correct	2 ms	604 KB	Output is correct
50	Correct	1 ms	604 KB	Output is correct
51	Correct	1 ms	604 KB	Output is correct

Subtask #4
0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	0 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	348 KB	Output is correct
37	Correct	0 ms	348 KB	Output is correct
38	Correct	1 ms	604 KB	Output is correct
39	Correct	1 ms	604 KB	Output is correct
40	Correct	1 ms	552 KB	Output is correct
41	Correct	1 ms	604 KB	Output is correct
42	Correct	1 ms	604 KB	Output is correct
43	Correct	1 ms	604 KB	Output is correct
44	Correct	1 ms	604 KB	Output is correct
45	Correct	1 ms	604 KB	Output is correct
46	Correct	2 ms	604 KB	Output is correct
47	Correct	1 ms	604 KB	Output is correct
48	Correct	1 ms	600 KB	Output is correct
49	Correct	2 ms	604 KB	Output is correct
50	Correct	1 ms	604 KB	Output is correct
51	Correct	1 ms	604 KB	Output is correct
52	Correct	83 ms	19028 KB	Output is correct
53	Correct	88 ms	24836 KB	Output is correct
54	Correct	1397 ms	24804 KB	Output is correct
55	Correct	370 ms	24732 KB	Output is correct
56	Correct	79 ms	24908 KB	Output is correct
57	Correct	91 ms	24404 KB	Output is correct
58	Correct	81 ms	24916 KB	Output is correct
59	Correct	220 ms	24400 KB	Output is correct
60	Correct	316 ms	24296 KB	Output is correct
61	Correct	337 ms	24788 KB	Output is correct
62	Correct	206 ms	24404 KB	Output is correct
63	Execution timed out	2067 ms	24392 KB	Time limit exceeded
64	Halted	0 ms	0 KB	-

Submission #1007913

Compilation message

Subtask #1 16.0 / 16.0

Subtask #2 30.0 / 30.0

Subtask #3 25.0 / 25.0

Subtask #4 0 / 29.0

Subtask #1
16.0 / 16.0

Subtask #2
30.0 / 30.0

Subtask #3
25.0 / 25.0

Subtask #4
0 / 29.0