Submission #984580

# Submission time Handle Problem Language Result Execution time Memory
984580 2024-05-16T19:51:41 Z DP_196 Visiting Singapore (NOI20_visitingsingapore) C++14
100 / 100
197 ms 856 KB
#include <bits/stdc++.h>
 
using namespace std;
 
#define sz(x) (int)x.size()
#define MASK(i) ((1LL) << (i))
#define all(x) x.begin(), x.end()
#define BIT(x, i) ((x) >> (i) & (1LL))
#define dbg(...) cerr << "#" << __LINE__ << ":[" << #__VA_ARGS__ \
<< "] = [" ,DBG(__VA_ARGS__)
 
string to_string(const string& s) { return '"' + s + '"'; }
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
        cerr << to_string(h); if(sizeof...(t)) cerr << ", "; DBG(t...);
}
 
template <class T>
inline bool maximize(T &a, const T &b) { return (a < b ? (a = b) : 0); }
template <class T>
inline bool minimize(T &a, const T &b) { return (a > b ? (a = b) : 0); }
 
const int MAXN = 1e5 + 6;
const int INF = 1e9;
const int MOD = 1e9 + 7;
 
int k, n, m, a, b, v[5005], s[5005], t[5005];
int dp[2][5005][2][2];
 
void subAC() {
	int res = a + m * b;
	
	memset(dp, -0x3f, sizeof (dp));
	
	int inf = dp[0][0][0][0];
 
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= m; j++) { 
			dp[1][j][0][0] = max({dp[0][j][0][0] + b, dp[1][j - 1][0][0] + b, dp[0][j - 1][1][1] + 2 * b});
			dp[1][j][0][1] = max(dp[0][j][0][1], dp[0][j][1][1]) + b;
			dp[1][j][1][0] = max(dp[1][j - 1][1][0], dp[1][j - 1][1][1]) + b;
			
			if (s[i] == t[j]) {
				dp[1][j][1][1] = v[s[i]] + (j > 1 ? a + (j - 1) * b : 0);
				maximize(dp[1][j][1][1], dp[0][j - 1][0][0] + 2 * a + v[s[i]]);
				maximize(dp[1][j][1][1], dp[0][j - 1][0][1] + a + v[s[i]]);
				maximize(dp[1][j][1][1], dp[0][j - 1][1][0] + a + v[s[i]]);
				maximize(dp[1][j][1][1], dp[0][j - 1][1][1] + v[s[i]]);
			}
			
			maximize(res, dp[1][j][1][1] + (m - j >= 1 ? a + (m - j) * b : 0));
		}
		
		for (int j = 0; j <= m; j++) {
			dp[0][j][0][0] = dp[1][j][0][0]; dp[1][j][0][0] = inf;
			dp[0][j][0][1] = dp[1][j][0][1]; dp[1][j][0][1] = inf;
			dp[0][j][1][0] = dp[1][j][1][0]; dp[1][j][1][0] = inf;
			dp[0][j][1][1] = dp[1][j][1][1]; dp[1][j][1][1] = inf;
		}
	}
	
	cout << res;
}                     
 
void solve() {
	cin >> k >> n >> m >> a >> b;
	
	for (int i = 1; i <= k; i++) cin >> v[i];
	for (int i = 1; i <= n; i++) cin >> s[i];
	for (int i = 1; i <= m; i++) cin >> t[i];
	
	subAC();
}
 
#define TASK "FUNTOUR"
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
   	//freopen(TASK".inp", "r", stdin);
   	//freopen(TASK".out", "w", stdout);
 
    int ntest = 1;
    //cin >> ntest;
    while (ntest--) solve();
 
    return 0;
}
//612
# Verdict Execution time Memory Grader output
1 Correct 1 ms 856 KB Output is correct
2 Correct 7 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 4 ms 600 KB Output is correct
10 Correct 8 ms 600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 5 ms 604 KB Output is correct
7 Correct 4 ms 604 KB Output is correct
8 Correct 5 ms 636 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 8 ms 632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 604 KB Output is correct
2 Correct 7 ms 600 KB Output is correct
3 Correct 55 ms 604 KB Output is correct
4 Correct 132 ms 600 KB Output is correct
5 Correct 40 ms 604 KB Output is correct
6 Correct 57 ms 604 KB Output is correct
7 Correct 105 ms 604 KB Output is correct
8 Correct 35 ms 600 KB Output is correct
9 Correct 67 ms 600 KB Output is correct
10 Correct 165 ms 676 KB Output is correct
11 Correct 164 ms 604 KB Output is correct
12 Correct 165 ms 604 KB Output is correct
13 Correct 167 ms 604 KB Output is correct
14 Correct 184 ms 600 KB Output is correct
15 Correct 183 ms 856 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 604 KB Output is correct
2 Correct 7 ms 600 KB Output is correct
3 Correct 55 ms 604 KB Output is correct
4 Correct 132 ms 600 KB Output is correct
5 Correct 40 ms 604 KB Output is correct
6 Correct 57 ms 604 KB Output is correct
7 Correct 105 ms 604 KB Output is correct
8 Correct 35 ms 600 KB Output is correct
9 Correct 67 ms 600 KB Output is correct
10 Correct 165 ms 676 KB Output is correct
11 Correct 164 ms 604 KB Output is correct
12 Correct 165 ms 604 KB Output is correct
13 Correct 167 ms 604 KB Output is correct
14 Correct 184 ms 600 KB Output is correct
15 Correct 183 ms 856 KB Output is correct
16 Correct 86 ms 604 KB Output is correct
17 Correct 107 ms 852 KB Output is correct
18 Correct 92 ms 604 KB Output is correct
19 Correct 24 ms 600 KB Output is correct
20 Correct 66 ms 604 KB Output is correct
21 Correct 4 ms 604 KB Output is correct
22 Correct 21 ms 664 KB Output is correct
23 Correct 42 ms 600 KB Output is correct
24 Correct 15 ms 604 KB Output is correct
25 Correct 164 ms 600 KB Output is correct
26 Correct 165 ms 604 KB Output is correct
27 Correct 170 ms 672 KB Output is correct
28 Correct 173 ms 668 KB Output is correct
29 Correct 188 ms 600 KB Output is correct
30 Correct 184 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 604 KB Output is correct
2 Correct 7 ms 600 KB Output is correct
3 Correct 55 ms 604 KB Output is correct
4 Correct 132 ms 600 KB Output is correct
5 Correct 40 ms 604 KB Output is correct
6 Correct 57 ms 604 KB Output is correct
7 Correct 105 ms 604 KB Output is correct
8 Correct 35 ms 600 KB Output is correct
9 Correct 67 ms 600 KB Output is correct
10 Correct 165 ms 676 KB Output is correct
11 Correct 164 ms 604 KB Output is correct
12 Correct 165 ms 604 KB Output is correct
13 Correct 167 ms 604 KB Output is correct
14 Correct 184 ms 600 KB Output is correct
15 Correct 183 ms 856 KB Output is correct
16 Correct 138 ms 668 KB Output is correct
17 Correct 68 ms 604 KB Output is correct
18 Correct 21 ms 604 KB Output is correct
19 Correct 5 ms 604 KB Output is correct
20 Correct 3 ms 604 KB Output is correct
21 Correct 4 ms 604 KB Output is correct
22 Correct 71 ms 604 KB Output is correct
23 Correct 12 ms 648 KB Output is correct
24 Correct 118 ms 604 KB Output is correct
25 Correct 164 ms 604 KB Output is correct
26 Correct 165 ms 664 KB Output is correct
27 Correct 171 ms 680 KB Output is correct
28 Correct 164 ms 600 KB Output is correct
29 Correct 187 ms 656 KB Output is correct
30 Correct 186 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 0 ms 600 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 0 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 0 ms 604 KB Output is correct
12 Correct 0 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 856 KB Output is correct
2 Correct 7 ms 604 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 2 ms 604 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 4 ms 600 KB Output is correct
10 Correct 8 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 0 ms 604 KB Output is correct
13 Correct 2 ms 604 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 5 ms 604 KB Output is correct
17 Correct 4 ms 604 KB Output is correct
18 Correct 5 ms 636 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 8 ms 632 KB Output is correct
21 Correct 17 ms 604 KB Output is correct
22 Correct 7 ms 600 KB Output is correct
23 Correct 55 ms 604 KB Output is correct
24 Correct 132 ms 600 KB Output is correct
25 Correct 40 ms 604 KB Output is correct
26 Correct 57 ms 604 KB Output is correct
27 Correct 105 ms 604 KB Output is correct
28 Correct 35 ms 600 KB Output is correct
29 Correct 67 ms 600 KB Output is correct
30 Correct 165 ms 676 KB Output is correct
31 Correct 164 ms 604 KB Output is correct
32 Correct 165 ms 604 KB Output is correct
33 Correct 167 ms 604 KB Output is correct
34 Correct 184 ms 600 KB Output is correct
35 Correct 183 ms 856 KB Output is correct
36 Correct 86 ms 604 KB Output is correct
37 Correct 107 ms 852 KB Output is correct
38 Correct 92 ms 604 KB Output is correct
39 Correct 24 ms 600 KB Output is correct
40 Correct 66 ms 604 KB Output is correct
41 Correct 4 ms 604 KB Output is correct
42 Correct 21 ms 664 KB Output is correct
43 Correct 42 ms 600 KB Output is correct
44 Correct 15 ms 604 KB Output is correct
45 Correct 164 ms 600 KB Output is correct
46 Correct 165 ms 604 KB Output is correct
47 Correct 170 ms 672 KB Output is correct
48 Correct 173 ms 668 KB Output is correct
49 Correct 188 ms 600 KB Output is correct
50 Correct 184 ms 604 KB Output is correct
51 Correct 138 ms 668 KB Output is correct
52 Correct 68 ms 604 KB Output is correct
53 Correct 21 ms 604 KB Output is correct
54 Correct 5 ms 604 KB Output is correct
55 Correct 3 ms 604 KB Output is correct
56 Correct 4 ms 604 KB Output is correct
57 Correct 71 ms 604 KB Output is correct
58 Correct 12 ms 648 KB Output is correct
59 Correct 118 ms 604 KB Output is correct
60 Correct 164 ms 604 KB Output is correct
61 Correct 165 ms 664 KB Output is correct
62 Correct 171 ms 680 KB Output is correct
63 Correct 164 ms 600 KB Output is correct
64 Correct 187 ms 656 KB Output is correct
65 Correct 186 ms 604 KB Output is correct
66 Correct 1 ms 604 KB Output is correct
67 Correct 0 ms 604 KB Output is correct
68 Correct 0 ms 604 KB Output is correct
69 Correct 1 ms 604 KB Output is correct
70 Correct 0 ms 604 KB Output is correct
71 Correct 0 ms 604 KB Output is correct
72 Correct 0 ms 600 KB Output is correct
73 Correct 1 ms 604 KB Output is correct
74 Correct 0 ms 604 KB Output is correct
75 Correct 1 ms 604 KB Output is correct
76 Correct 0 ms 604 KB Output is correct
77 Correct 0 ms 604 KB Output is correct
78 Correct 1 ms 604 KB Output is correct
79 Correct 1 ms 604 KB Output is correct
80 Correct 1 ms 604 KB Output is correct
81 Correct 132 ms 604 KB Output is correct
82 Correct 34 ms 604 KB Output is correct
83 Correct 59 ms 652 KB Output is correct
84 Correct 33 ms 604 KB Output is correct
85 Correct 53 ms 648 KB Output is correct
86 Correct 45 ms 604 KB Output is correct
87 Correct 8 ms 604 KB Output is correct
88 Correct 5 ms 644 KB Output is correct
89 Correct 19 ms 604 KB Output is correct
90 Correct 197 ms 848 KB Output is correct
91 Correct 173 ms 600 KB Output is correct
92 Correct 164 ms 600 KB Output is correct
93 Correct 165 ms 680 KB Output is correct
94 Correct 172 ms 604 KB Output is correct
95 Correct 164 ms 604 KB Output is correct
96 Correct 165 ms 600 KB Output is correct
97 Correct 165 ms 668 KB Output is correct
98 Correct 185 ms 600 KB Output is correct
99 Correct 186 ms 604 KB Output is correct
100 Correct 183 ms 652 KB Output is correct