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Submission #211247

# Submission time Handle Problem Language Result Execution time Memory
211247 2020-03-19T18:11:33 Z socho Visiting Singapore (NOI20_visitingsingapore) C++14
42 / 100
 2000 ms 99324 KB 
#include "bits/stdc++.h"
using namespace std;

const int MXK = 1005;
const int MXN = 5005;
const int MXM = 5005;
int k, n, m, a, b;
int happy[MXK];
int events[MXN];
int want[MXM];

int dp[MXN][MXM];

int solve(int planday, int realday) {
	if (planday == m) return 0; // if we're at end of plan, no more to gain
	if (realday == n) {
		// no more days to do anything
		int re = (m - planday);
		int co = (re == 0) ? 0 : b * re + a;
		return co;
	}
	if (dp[planday][realday] != INT_MIN) return dp[planday][realday];
	int best = INT_MIN; // the best is nada
	// let's say we skip this day of plan
	// there are then m - planday - 1 remaining in plan so 
	for (int u=planday; u<m; u++) {
		// skip until day u of plan
		int skip = (u - planday + 1);
		int cost = ((skip == 0) ? 0 : b * skip + a);
		best = max(best, cost + solve(u+1, realday));
	}
	// to match this plan day to some other day
	for (int i=realday; i<n; i++) {
		if (events[i] == want[planday]) {
			// we can do this planday on i day
			// we'll be skipping i - realday days
			int cost = ((i - realday == 0) ? 0 : b * (i - realday) + a);
			int gain = happy[events[i]];
			// then we'll end up on the day after i
			best = max(best, gain + cost + solve(planday+1, i+1));
		}
	}
	
	return dp[planday][realday] = best;
}

int lcs(int i, int j) {
	if (i == n && j == m) {
		return 0;
	}
	if (i == n) {
		return lcs(i, j+1) + b;
	}
	if (j == m) {
		return lcs(i+1, j);
	}
	if (dp[i][j] != INT_MIN) return dp[i][j];
	int best = INT_MIN;
	if (events[i] == want[j]) {
		best = max(best, happy[events[i]] + lcs(i+1, j+1));
	}
	int g = m-j;
	best = max(best, (g==0)?0:g*b);
	best = max(best, lcs(i+1, j) + b);
	best = max(best, lcs(i, j+1) + b);
	return dp[i][j] = best;
}

int main() {
	
	for (int i=0; i<MXN; i++) for (int j=0; j<MXM; j++) dp[i][j] = INT_MIN;
	
	cin >> k >> n >> m >> a >> b;
	for (int i=1; i<=k; i++) cin >> happy[i];
	for (int i=0; i<n; i++) cin >> events[i];
	for (int i=0; i<m; i++) cin >> want[i];
	
	if (k == 1) {
		
		if (n >= m) {
			cout << m * happy[1] << endl;
		}
		else {
			cout << n * happy[1] + ((m-n) * b + a) << endl;
		}
		
		exit(0);
	}
	
	if (a == 0) {
		
		int opt = INT_MIN;
		for (int i=0; i<n; i++) opt = max(opt, lcs(i, 0));
		cout << opt << endl;
		exit(0);
		
	}
	
	int mx = INT_MIN;
	for (int i=0; i<n; i++) mx = max(mx, solve(0, i));
	cout << mx << endl;
	
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 98296 KB Output is correct
2 Correct 58 ms 98296 KB Output is correct
3 Correct 52 ms 98296 KB Output is correct
4 Correct 58 ms 98296 KB Output is correct
5 Correct 57 ms 98424 KB Output is correct
6 Correct 58 ms 98296 KB Output is correct
7 Correct 58 ms 98424 KB Output is correct
8 Correct 53 ms 98296 KB Output is correct
9 Correct 54 ms 98424 KB Output is correct
10 Correct 57 ms 98296 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 98424 KB Output is correct
2 Correct 53 ms 98424 KB Output is correct
3 Correct 59 ms 98424 KB Output is correct
4 Correct 57 ms 98432 KB Output is correct
5 Correct 54 ms 98424 KB Output is correct
6 Correct 57 ms 98424 KB Output is correct
7 Correct 53 ms 98424 KB Output is correct
8 Correct 52 ms 98432 KB Output is correct
9 Correct 57 ms 98296 KB Output is correct
10 Correct 59 ms 98424 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 98680 KB Output is correct
2 Correct 66 ms 98748 KB Output is correct
3 Correct 172 ms 98888 KB Output is correct
4 Correct 359 ms 99064 KB Output is correct
5 Correct 176 ms 98808 KB Output is correct
6 Correct 197 ms 98808 KB Output is correct
7 Correct 288 ms 99064 KB Output is correct
8 Correct 127 ms 98996 KB Output is correct
9 Correct 228 ms 98936 KB Output is correct
10 Correct 451 ms 99224 KB Output is correct
11 Correct 436 ms 99324 KB Output is correct
12 Correct 444 ms 99192 KB Output is correct
13 Correct 431 ms 99192 KB Output is correct
14 Correct 59 ms 98424 KB Output is correct
15 Correct 59 ms 98424 KB Output is correct

Subtask #4
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 98680 KB Output is correct
2 Correct 66 ms 98748 KB Output is correct
3 Correct 172 ms 98888 KB Output is correct
4 Correct 359 ms 99064 KB Output is correct
5 Correct 176 ms 98808 KB Output is correct
6 Correct 197 ms 98808 KB Output is correct
7 Correct 288 ms 99064 KB Output is correct
8 Correct 127 ms 98996 KB Output is correct
9 Correct 228 ms 98936 KB Output is correct
10 Correct 451 ms 99224 KB Output is correct
11 Correct 436 ms 99324 KB Output is correct
12 Correct 444 ms 99192 KB Output is correct
13 Correct 431 ms 99192 KB Output is correct
14 Correct 59 ms 98424 KB Output is correct
15 Correct 59 ms 98424 KB Output is correct
16 Correct 249 ms 99064 KB Output is correct
17 Correct 287 ms 99064 KB Output is correct
18 Correct 258 ms 98936 KB Output is correct
19 Correct 107 ms 98680 KB Output is correct
20 Correct 207 ms 98936 KB Output is correct
21 Correct 67 ms 98552 KB Output is correct
22 Correct 131 ms 98680 KB Output is correct
23 Correct 163 ms 98836 KB Output is correct
24 Correct 85 ms 98680 KB Output is correct
25 Correct 447 ms 99324 KB Output is correct
26 Correct 445 ms 99320 KB Output is correct
27 Correct 451 ms 99320 KB Output is correct
28 Correct 438 ms 99320 KB Output is correct
29 Correct 55 ms 98424 KB Output is correct
30 Correct 55 ms 98424 KB Output is correct

Subtask #5
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 98680 KB Output is correct
2 Correct 66 ms 98748 KB Output is correct
3 Correct 172 ms 98888 KB Output is correct
4 Correct 359 ms 99064 KB Output is correct
5 Correct 176 ms 98808 KB Output is correct
6 Correct 197 ms 98808 KB Output is correct
7 Correct 288 ms 99064 KB Output is correct
8 Correct 127 ms 98996 KB Output is correct
9 Correct 228 ms 98936 KB Output is correct
10 Correct 451 ms 99224 KB Output is correct
11 Correct 436 ms 99324 KB Output is correct
12 Correct 444 ms 99192 KB Output is correct
13 Correct 431 ms 99192 KB Output is correct
14 Correct 59 ms 98424 KB Output is correct
15 Correct 59 ms 98424 KB Output is correct
16 Execution timed out 2090 ms 98684 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 98504 KB Output is correct
2 Correct 59 ms 98296 KB Output is correct
3 Correct 57 ms 98296 KB Output is correct
4 Correct 54 ms 98296 KB Output is correct
5 Correct 56 ms 98304 KB Output is correct
6 Correct 54 ms 98296 KB Output is correct
7 Correct 54 ms 98316 KB Output is correct
8 Correct 59 ms 98296 KB Output is correct
9 Correct 62 ms 98424 KB Output is correct
10 Correct 57 ms 98424 KB Output is correct
11 Correct 56 ms 98424 KB Output is correct
12 Correct 65 ms 98296 KB Output is correct
13 Correct 59 ms 98296 KB Output is correct
14 Correct 58 ms 98296 KB Output is correct
15 Correct 53 ms 98296 KB Output is correct

Subtask #7
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 98296 KB Output is correct
2 Correct 58 ms 98296 KB Output is correct
3 Correct 52 ms 98296 KB Output is correct
4 Correct 58 ms 98296 KB Output is correct
5 Correct 57 ms 98424 KB Output is correct
6 Correct 58 ms 98296 KB Output is correct
7 Correct 58 ms 98424 KB Output is correct
8 Correct 53 ms 98296 KB Output is correct
9 Correct 54 ms 98424 KB Output is correct
10 Correct 57 ms 98296 KB Output is correct
11 Correct 59 ms 98424 KB Output is correct
12 Correct 53 ms 98424 KB Output is correct
13 Correct 59 ms 98424 KB Output is correct
14 Correct 57 ms 98432 KB Output is correct
15 Correct 54 ms 98424 KB Output is correct
16 Correct 57 ms 98424 KB Output is correct
17 Correct 53 ms 98424 KB Output is correct
18 Correct 52 ms 98432 KB Output is correct
19 Correct 57 ms 98296 KB Output is correct
20 Correct 59 ms 98424 KB Output is correct
21 Correct 92 ms 98680 KB Output is correct
22 Correct 66 ms 98748 KB Output is correct
23 Correct 172 ms 98888 KB Output is correct
24 Correct 359 ms 99064 KB Output is correct
25 Correct 176 ms 98808 KB Output is correct
26 Correct 197 ms 98808 KB Output is correct
27 Correct 288 ms 99064 KB Output is correct
28 Correct 127 ms 98996 KB Output is correct
29 Correct 228 ms 98936 KB Output is correct
30 Correct 451 ms 99224 KB Output is correct
31 Correct 436 ms 99324 KB Output is correct
32 Correct 444 ms 99192 KB Output is correct
33 Correct 431 ms 99192 KB Output is correct
34 Correct 59 ms 98424 KB Output is correct
35 Correct 59 ms 98424 KB Output is correct
36 Correct 249 ms 99064 KB Output is correct
37 Correct 287 ms 99064 KB Output is correct
38 Correct 258 ms 98936 KB Output is correct
39 Correct 107 ms 98680 KB Output is correct
40 Correct 207 ms 98936 KB Output is correct
41 Correct 67 ms 98552 KB Output is correct
42 Correct 131 ms 98680 KB Output is correct
43 Correct 163 ms 98836 KB Output is correct
44 Correct 85 ms 98680 KB Output is correct
45 Correct 447 ms 99324 KB Output is correct
46 Correct 445 ms 99320 KB Output is correct
47 Correct 451 ms 99320 KB Output is correct
48 Correct 438 ms 99320 KB Output is correct
49 Correct 55 ms 98424 KB Output is correct
50 Correct 55 ms 98424 KB Output is correct
51 Execution timed out 2090 ms 98684 KB Time limit exceeded
52 Halted 0 ms 0 KB -