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Submission #832891

# Submission time Handle Problem Language Result Execution time Memory
832891 2023-08-21T16:23:14 Z NK_ Visiting Singapore (NOI20_visitingsingapore) C++17
100 / 100
 623 ms 596 KB 
// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>
 
using namespace std;
 
#define nl '\n'
#define pb push_back
#define pf push_front
 
#define mp make_pair
#define f first
#define s second
#define sz(x) int(x.size())
 
template<class T> using V = vector<T>;
using pi = pair<int, int>;
using vi = V<int>;
using vpi = V<pi>;
 
using ll = long long;
using pl = pair<ll, ll>;
using vpl = V<pl>;
using vl = V<ll>;
 
using db = long double;
 
template<class T> using pq = priority_queue<T, V<T>, greater<T>>;
 
const int MOD = 1e9 + 7;
const ll INFL = ll(1e17);

int main() {
	cin.tie(0)->sync_with_stdio(0);
  	
	int K, N, M, A, B; cin >> K >> N >> M >> A >> B;

	vi H(K); for(auto& x : H) cin >> x;
	vi S(N); for(auto& x : S) { cin >> x; --x; }
	vi T(M); for(auto& x : T) { cin >> x; --x; }

	int dp[2][M+1][2], ndp[2][M+1][2];
	memset(dp, 0xc0, sizeof(dp));

	int ans = -MOD;
	for(int x = 0; x <= N; x++) {
		memset(ndp, 0xc0, sizeof(ndp));


		// can start on any day
		dp[1][0][1] = 0;

		for(int y = 0; y <= M; y++) for(int ys = 0; ys <= 1; ys++) for(int xs = 0; xs <= 1; xs++) {
			if (dp[ys][y][xs] == -MOD) continue;

			if (y == M) ans = max(dp[xs][y][ys], ans);

			// go to event
			if (x < N && y < M && S[x] == T[y]) ndp[1][y+1][1] = max(dp[xs][y][ys] + H[T[y]], ndp[1][y+1][1]);

			// skip next event in S (x)
			if (x < N) ndp[0][y][ys] = max(dp[xs][y][ys] + B + xs * A, ndp[0][y][ys]);

			// skip next event in T (y)
			if (y < M) dp[xs][y+1][0] = max(dp[xs][y][ys] + B + ys * A, dp[xs][y+1][0]);
		}

		for(int y = 0; y <= M; y++) for(int ys = 0; ys <= 1; ys++) for(int xs = 0; xs <= 1; xs++) {
			swap(dp[ys][y][xs], ndp[ys][y][xs]);
		}
	}

	cout << ans << nl;

    return 0;	
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 20 ms 348 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 6 ms 328 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 2 ms 212 KB Output is correct
9 Correct 16 ms 340 KB Output is correct
10 Correct 24 ms 340 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 6 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 2 ms 212 KB Output is correct
6 Correct 12 ms 344 KB Output is correct
7 Correct 12 ms 340 KB Output is correct
8 Correct 17 ms 348 KB Output is correct
9 Correct 2 ms 212 KB Output is correct
10 Correct 23 ms 340 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 340 KB Output is correct
2 Correct 20 ms 336 KB Output is correct
3 Correct 166 ms 388 KB Output is correct
4 Correct 399 ms 472 KB Output is correct
5 Correct 122 ms 460 KB Output is correct
6 Correct 170 ms 448 KB Output is correct
7 Correct 324 ms 468 KB Output is correct
8 Correct 104 ms 392 KB Output is correct
9 Correct 211 ms 468 KB Output is correct
10 Correct 505 ms 468 KB Output is correct
11 Correct 497 ms 468 KB Output is correct
12 Correct 502 ms 596 KB Output is correct
13 Correct 507 ms 468 KB Output is correct
14 Correct 623 ms 508 KB Output is correct
15 Correct 620 ms 508 KB Output is correct

Subtask #4
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 340 KB Output is correct
2 Correct 20 ms 336 KB Output is correct
3 Correct 166 ms 388 KB Output is correct
4 Correct 399 ms 472 KB Output is correct
5 Correct 122 ms 460 KB Output is correct
6 Correct 170 ms 448 KB Output is correct
7 Correct 324 ms 468 KB Output is correct
8 Correct 104 ms 392 KB Output is correct
9 Correct 211 ms 468 KB Output is correct
10 Correct 505 ms 468 KB Output is correct
11 Correct 497 ms 468 KB Output is correct
12 Correct 502 ms 596 KB Output is correct
13 Correct 507 ms 468 KB Output is correct
14 Correct 623 ms 508 KB Output is correct
15 Correct 620 ms 508 KB Output is correct
16 Correct 270 ms 468 KB Output is correct
17 Correct 328 ms 468 KB Output is correct
18 Correct 280 ms 468 KB Output is correct
19 Correct 57 ms 424 KB Output is correct
20 Correct 201 ms 424 KB Output is correct
21 Correct 12 ms 340 KB Output is correct
22 Correct 64 ms 440 KB Output is correct
23 Correct 127 ms 340 KB Output is correct
24 Correct 46 ms 360 KB Output is correct
25 Correct 512 ms 532 KB Output is correct
26 Correct 504 ms 532 KB Output is correct
27 Correct 509 ms 528 KB Output is correct
28 Correct 518 ms 524 KB Output is correct
29 Correct 588 ms 516 KB Output is correct
30 Correct 589 ms 512 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 340 KB Output is correct
2 Correct 20 ms 336 KB Output is correct
3 Correct 166 ms 388 KB Output is correct
4 Correct 399 ms 472 KB Output is correct
5 Correct 122 ms 460 KB Output is correct
6 Correct 170 ms 448 KB Output is correct
7 Correct 324 ms 468 KB Output is correct
8 Correct 104 ms 392 KB Output is correct
9 Correct 211 ms 468 KB Output is correct
10 Correct 505 ms 468 KB Output is correct
11 Correct 497 ms 468 KB Output is correct
12 Correct 502 ms 596 KB Output is correct
13 Correct 507 ms 468 KB Output is correct
14 Correct 623 ms 508 KB Output is correct
15 Correct 620 ms 508 KB Output is correct
16 Correct 424 ms 492 KB Output is correct
17 Correct 216 ms 404 KB Output is correct
18 Correct 60 ms 340 KB Output is correct
19 Correct 15 ms 340 KB Output is correct
20 Correct 8 ms 340 KB Output is correct
21 Correct 12 ms 484 KB Output is correct
22 Correct 213 ms 468 KB Output is correct
23 Correct 36 ms 352 KB Output is correct
24 Correct 344 ms 460 KB Output is correct
25 Correct 497 ms 536 KB Output is correct
26 Correct 502 ms 588 KB Output is correct
27 Correct 501 ms 528 KB Output is correct
28 Correct 497 ms 516 KB Output is correct
29 Correct 573 ms 512 KB Output is correct
30 Correct 572 ms 460 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct

Subtask #7
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 20 ms 348 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 6 ms 328 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 2 ms 212 KB Output is correct
9 Correct 16 ms 340 KB Output is correct
10 Correct 24 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 6 ms 340 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 12 ms 344 KB Output is correct
17 Correct 12 ms 340 KB Output is correct
18 Correct 17 ms 348 KB Output is correct
19 Correct 2 ms 212 KB Output is correct
20 Correct 23 ms 340 KB Output is correct
21 Correct 62 ms 340 KB Output is correct
22 Correct 20 ms 336 KB Output is correct
23 Correct 166 ms 388 KB Output is correct
24 Correct 399 ms 472 KB Output is correct
25 Correct 122 ms 460 KB Output is correct
26 Correct 170 ms 448 KB Output is correct
27 Correct 324 ms 468 KB Output is correct
28 Correct 104 ms 392 KB Output is correct
29 Correct 211 ms 468 KB Output is correct
30 Correct 505 ms 468 KB Output is correct
31 Correct 497 ms 468 KB Output is correct
32 Correct 502 ms 596 KB Output is correct
33 Correct 507 ms 468 KB Output is correct
34 Correct 623 ms 508 KB Output is correct
35 Correct 620 ms 508 KB Output is correct
36 Correct 270 ms 468 KB Output is correct
37 Correct 328 ms 468 KB Output is correct
38 Correct 280 ms 468 KB Output is correct
39 Correct 57 ms 424 KB Output is correct
40 Correct 201 ms 424 KB Output is correct
41 Correct 12 ms 340 KB Output is correct
42 Correct 64 ms 440 KB Output is correct
43 Correct 127 ms 340 KB Output is correct
44 Correct 46 ms 360 KB Output is correct
45 Correct 512 ms 532 KB Output is correct
46 Correct 504 ms 532 KB Output is correct
47 Correct 509 ms 528 KB Output is correct
48 Correct 518 ms 524 KB Output is correct
49 Correct 588 ms 516 KB Output is correct
50 Correct 589 ms 512 KB Output is correct
51 Correct 424 ms 492 KB Output is correct
52 Correct 216 ms 404 KB Output is correct
53 Correct 60 ms 340 KB Output is correct
54 Correct 15 ms 340 KB Output is correct
55 Correct 8 ms 340 KB Output is correct
56 Correct 12 ms 484 KB Output is correct
57 Correct 213 ms 468 KB Output is correct
58 Correct 36 ms 352 KB Output is correct
59 Correct 344 ms 460 KB Output is correct
60 Correct 497 ms 536 KB Output is correct
61 Correct 502 ms 588 KB Output is correct
62 Correct 501 ms 528 KB Output is correct
63 Correct 497 ms 516 KB Output is correct
64 Correct 573 ms 512 KB Output is correct
65 Correct 572 ms 460 KB Output is correct
66 Correct 0 ms 212 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 1 ms 212 KB Output is correct
69 Correct 0 ms 212 KB Output is correct
70 Correct 0 ms 212 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 0 ms 212 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 1 ms 212 KB Output is correct
77 Correct 1 ms 212 KB Output is correct
78 Correct 1 ms 212 KB Output is correct
79 Correct 1 ms 212 KB Output is correct
80 Correct 1 ms 212 KB Output is correct
81 Correct 405 ms 504 KB Output is correct
82 Correct 100 ms 388 KB Output is correct
83 Correct 177 ms 468 KB Output is correct
84 Correct 95 ms 440 KB Output is correct
85 Correct 161 ms 432 KB Output is correct
86 Correct 137 ms 412 KB Output is correct
87 Correct 23 ms 384 KB Output is correct
88 Correct 15 ms 340 KB Output is correct
89 Correct 56 ms 380 KB Output is correct
90 Correct 540 ms 508 KB Output is correct
91 Correct 501 ms 532 KB Output is correct
92 Correct 550 ms 528 KB Output is correct
93 Correct 512 ms 540 KB Output is correct
94 Correct 508 ms 528 KB Output is correct
95 Correct 516 ms 516 KB Output is correct
96 Correct 513 ms 528 KB Output is correct
97 Correct 504 ms 524 KB Output is correct
98 Correct 589 ms 468 KB Output is correct
99 Correct 584 ms 516 KB Output is correct
100 Correct 574 ms 516 KB Output is correct