Submission #1007914

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1007914	2024-06-25T18:53:16 Z	beaboss	Long Distance Coach (JOI17_coach)	C++14	100 / 100	133 ms	26196 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 lo = 0;
	int hi = line.size() - 1;

	while (lo < hi) {
		int m = (lo + hi) / 2;
		if (line[m].isectX(line[m + 1]) > (double) pos) hi = m;
		else lo = m + 1;
	}

	// for (auto val: line) best = min(best, val.evalX(pos));
	return min(0ll, line[lo].evalX(pos));
}

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	600 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 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	1 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	0 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	600 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 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	1 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	0 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	1 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	600 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 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	1 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	0 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	1 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	604 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	1 ms	604 KB	Output is correct
47	Correct	1 ms	604 KB	Output is correct
48	Correct	1 ms	604 KB	Output is correct
49	Correct	1 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
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	600 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 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	1 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	0 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	1 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	604 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	1 ms	604 KB	Output is correct
47	Correct	1 ms	604 KB	Output is correct
48	Correct	1 ms	604 KB	Output is correct
49	Correct	1 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	96 ms	19028 KB	Output is correct
53	Correct	103 ms	19028 KB	Output is correct
54	Correct	93 ms	20096 KB	Output is correct
55	Correct	92 ms	19540 KB	Output is correct
56	Correct	85 ms	19060 KB	Output is correct
57	Correct	84 ms	19072 KB	Output is correct
58	Correct	81 ms	19068 KB	Output is correct
59	Correct	93 ms	19540 KB	Output is correct
60	Correct	90 ms	19284 KB	Output is correct
61	Correct	91 ms	19536 KB	Output is correct
62	Correct	87 ms	19280 KB	Output is correct
63	Correct	133 ms	22612 KB	Output is correct
64	Correct	70 ms	24912 KB	Output is correct
65	Correct	107 ms	24912 KB	Output is correct
66	Correct	104 ms	24820 KB	Output is correct
67	Correct	106 ms	24912 KB	Output is correct
68	Correct	109 ms	24912 KB	Output is correct
69	Correct	94 ms	24668 KB	Output is correct
70	Correct	98 ms	24656 KB	Output is correct
71	Correct	100 ms	24552 KB	Output is correct
72	Correct	99 ms	24660 KB	Output is correct
73	Correct	93 ms	24656 KB	Output is correct
74	Correct	94 ms	24564 KB	Output is correct
75	Correct	99 ms	24900 KB	Output is correct
76	Correct	94 ms	24916 KB	Output is correct
77	Correct	124 ms	26196 KB	Output is correct
78	Correct	95 ms	24976 KB	Output is correct
79	Correct	94 ms	24312 KB	Output is correct
80	Correct	93 ms	24168 KB	Output is correct

Submission #1007914

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