Submission #541725

# Submission time Handle Problem Language Result Execution time Memory
541725 2022-03-24T09:23:13 Z sidon Long Distance Coach (JOI17_coach) C++17
100 / 100
429 ms 73188 KB
#include <bits/stdc++.h>
using namespace std;
using ll = __int128;
using i64 = int64_t;

const ll INF = 1e18;
const int SZ = 2e5+1;

struct Line {
	ll m {}, c {};
	ll operator()(const ll &x) { return m * x + c; }
};

struct LiChaoTree {
	Line v;
	LiChaoTree *L = NULL, *R = NULL;
	void insert(Line x, ll l, ll r) {
		ll m = (l + r) >> 1;
		if(v(m) < x(m)) swap(v, x);
		if(r - l < 2) return;
		x.m > v.m ? (R ? : R = new LiChaoTree)->insert(x, m, r):
					(L ? : L = new LiChaoTree)->insert(x, l, m);
	}
	ll operator()(const ll &x, ll l, ll r) {
		if(r - l < 2) return v(x);
		ll m = (l + r) >> 1;
		return x < m ? max(v(x), L ? (*L)(x, l, m) : 0):
					   max(v(x), R ? (*R)(x, m, r) : 0);
	}
};

i64 N, M, X, W, T, S[SZ], D[SZ], C[SZ];

int main() {
	cin.tie(0)->sync_with_stdio(0);
	cin >> X >> N >> M >> W >> T;

	vector<pair<ll, int>> a(N+M+1);

	for(int i = 0; i < N; ++i) {
		cin >> S[i];
		a[i+0] = {S[i] % T, i};
	}
	a[N] = {X % T, N};
	S[N++] = X;

	for(int i = 0; i < M; ++i) {
		cin >> D[i] >> C[i];
		a[i+N] = {D[i] % T, i + N};
	}

	sort(begin(a), end(a), [](const auto &i, const auto &j) {
		return i.first < j.first;
	});

	LiChaoTree lct;

	ll cost {}, dp {}, cnt {}, ext = ll((X - ll(1)) / T + 1) * ll(W);

	for(int i = 1; i <= N + M; ++i) {
		int c = a[i-1].second;
		if(c < N) {
			ll f = (S[c] - ll(1)) / T;
			dp = max(dp, cost - f * cnt * ll(W) + lct(f, 0, X + 1));
		} else {
			c -= N; ++cnt;
			ll total = ((X - ll(1)) / T) + (D[c] < (X % T));
			ext += total * ll(W);
			cost += total * ll(W) - ll(C[c]);
		}
		lct.insert(Line{cnt * ll(W), dp - cost}, 0, X + 1);
	}
	cout << int64_t(ext - dp);
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 328 KB Output is correct
22 Correct 1 ms 324 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 328 KB Output is correct
22 Correct 1 ms 324 KB Output is correct
23 Correct 1 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 1 ms 340 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 452 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 328 KB Output is correct
33 Correct 1 ms 328 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 328 KB Output is correct
22 Correct 1 ms 324 KB Output is correct
23 Correct 1 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 1 ms 340 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 452 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 328 KB Output is correct
33 Correct 1 ms 328 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 3 ms 596 KB Output is correct
39 Correct 3 ms 596 KB Output is correct
40 Correct 3 ms 592 KB Output is correct
41 Correct 3 ms 596 KB Output is correct
42 Correct 4 ms 772 KB Output is correct
43 Correct 3 ms 724 KB Output is correct
44 Correct 5 ms 2772 KB Output is correct
45 Correct 3 ms 596 KB Output is correct
46 Correct 2 ms 724 KB Output is correct
47 Correct 2 ms 468 KB Output is correct
48 Correct 4 ms 596 KB Output is correct
49 Correct 3 ms 468 KB Output is correct
50 Correct 3 ms 592 KB Output is correct
51 Correct 3 ms 508 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 328 KB Output is correct
22 Correct 1 ms 324 KB Output is correct
23 Correct 1 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 1 ms 340 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 452 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 328 KB Output is correct
33 Correct 1 ms 328 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 3 ms 596 KB Output is correct
39 Correct 3 ms 596 KB Output is correct
40 Correct 3 ms 592 KB Output is correct
41 Correct 3 ms 596 KB Output is correct
42 Correct 4 ms 772 KB Output is correct
43 Correct 3 ms 724 KB Output is correct
44 Correct 5 ms 2772 KB Output is correct
45 Correct 3 ms 596 KB Output is correct
46 Correct 2 ms 724 KB Output is correct
47 Correct 2 ms 468 KB Output is correct
48 Correct 4 ms 596 KB Output is correct
49 Correct 3 ms 468 KB Output is correct
50 Correct 3 ms 592 KB Output is correct
51 Correct 3 ms 508 KB Output is correct
52 Correct 360 ms 18192 KB Output is correct
53 Correct 317 ms 18104 KB Output is correct
54 Correct 359 ms 37216 KB Output is correct
55 Correct 362 ms 33992 KB Output is correct
56 Correct 382 ms 29520 KB Output is correct
57 Correct 359 ms 73188 KB Output is correct
58 Correct 349 ms 17928 KB Output is correct
59 Correct 363 ms 32380 KB Output is correct
60 Correct 358 ms 33648 KB Output is correct
61 Correct 372 ms 34000 KB Output is correct
62 Correct 366 ms 40292 KB Output is correct
63 Correct 311 ms 37168 KB Output is correct
64 Correct 262 ms 17708 KB Output is correct
65 Correct 310 ms 17976 KB Output is correct
66 Correct 285 ms 17784 KB Output is correct
67 Correct 312 ms 18084 KB Output is correct
68 Correct 366 ms 18028 KB Output is correct
69 Correct 359 ms 18124 KB Output is correct
70 Correct 356 ms 18124 KB Output is correct
71 Correct 355 ms 18072 KB Output is correct
72 Correct 362 ms 18144 KB Output is correct
73 Correct 375 ms 17996 KB Output is correct
74 Correct 362 ms 18012 KB Output is correct
75 Correct 364 ms 17776 KB Output is correct
76 Correct 345 ms 17796 KB Output is correct
77 Correct 429 ms 17912 KB Output is correct
78 Correct 394 ms 18172 KB Output is correct
79 Correct 354 ms 18088 KB Output is correct
80 Correct 377 ms 17964 KB Output is correct