#include <bits/stdc++.h>
using namespace std;
#define int long long
#define isz(a) (int)(a).size()
const int NM = 2500, inf = 1e18;
int N, A, B, C;
string S;
int z[NM+5], nxt[NM+5][NM+5], dp[NM+5][NM+5];
void build_z(){
z[0] = -1;
int l = 0, r = -1;
for (int i = 1; i < isz(S); i++){
if (i <= r) z[i] = min(r-i, z[i-l]);
else z[i] = -1;
while (i+z[i]+1 < isz(S) && S[i+z[i]+1] == S[z[i]+1]) z[i]++;
if (i+z[i] > r){
l = i;
r = i+z[i];
}
}
}
void solve(){
for (int i = 0; i < N; i++)
for (int j = 1; j <= N-i; j++)
nxt[i][j] = +inf;
for (int i = 0; i < N; i++){
build_z();
for (int j = 1; j < N-i; j++)
if (z[j] >= 0){
nxt[i][min(j, z[j]+1)] = min(nxt[i][min(j, z[j]+1)], i+j);
}
for (int j = N-i-1; j >= 1; j--)
nxt[i][j] = min(nxt[i][j], nxt[i][j+1]);
S.erase(0, 1);
}
for (int i = 0; i < N; i++)
for (int j = i; j < N; j++)
dp[i][j] = +inf;
for (int k = 1; k <= N; k++)
for (int i = 0; i+k <= N; i++){
int j = i+k-1;
if (k == 1) dp[i][j] = A;
else{
dp[i][j] = min(dp[i][j], dp[i+1][j]+A);
dp[i][j] = min(dp[i][j], dp[i][j-1]+A);
}
int t = nxt[i][k], cnt = 2;
while (t < N){
dp[i][t+k-1] = min(dp[i][t+k-1], dp[i][j]+A*(t+k-i-cnt*k)+B+C*cnt);
t = nxt[t][k];
cnt++;
}
}
cout << dp[0][N-1];
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> N >> S >> A >> B >> C;
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
464 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
96 ms |
41188 KB |
Output is correct |
4 |
Correct |
131 ms |
46916 KB |
Output is correct |
5 |
Correct |
145 ms |
53072 KB |
Output is correct |
6 |
Correct |
184 ms |
59984 KB |
Output is correct |
7 |
Correct |
215 ms |
67412 KB |
Output is correct |
8 |
Correct |
208 ms |
67412 KB |
Output is correct |
9 |
Correct |
204 ms |
67408 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
604 KB |
Output is correct |
16 |
Correct |
0 ms |
716 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
464 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
604 KB |
Output is correct |
13 |
Correct |
0 ms |
604 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
600 KB |
Output is correct |
16 |
Correct |
0 ms |
344 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 |
604 KB |
Output is correct |
22 |
Correct |
0 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
0 ms |
600 KB |
Output is correct |
33 |
Correct |
0 ms |
604 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 |
1 ms |
344 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
464 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
604 KB |
Output is correct |
13 |
Correct |
0 ms |
604 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
600 KB |
Output is correct |
16 |
Correct |
0 ms |
344 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 |
604 KB |
Output is correct |
22 |
Correct |
0 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
0 ms |
600 KB |
Output is correct |
33 |
Correct |
0 ms |
604 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 |
1 ms |
344 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
604 KB |
Output is correct |
40 |
Correct |
1 ms |
1112 KB |
Output is correct |
41 |
Correct |
2 ms |
2136 KB |
Output is correct |
42 |
Correct |
1 ms |
2136 KB |
Output is correct |
43 |
Correct |
1 ms |
2140 KB |
Output is correct |
44 |
Correct |
1 ms |
2140 KB |
Output is correct |
45 |
Correct |
1 ms |
2140 KB |
Output is correct |
46 |
Correct |
1 ms |
2140 KB |
Output is correct |
47 |
Correct |
2 ms |
2140 KB |
Output is correct |
48 |
Correct |
1 ms |
2136 KB |
Output is correct |
49 |
Correct |
1 ms |
2248 KB |
Output is correct |
50 |
Correct |
1 ms |
2140 KB |
Output is correct |
51 |
Correct |
2 ms |
2136 KB |
Output is correct |
52 |
Correct |
1 ms |
2136 KB |
Output is correct |
53 |
Correct |
2 ms |
2140 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
464 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
604 KB |
Output is correct |
13 |
Correct |
0 ms |
604 KB |
Output is correct |
14 |
Correct |
0 ms |
344 KB |
Output is correct |
15 |
Correct |
0 ms |
600 KB |
Output is correct |
16 |
Correct |
0 ms |
344 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 |
604 KB |
Output is correct |
22 |
Correct |
0 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
604 KB |
Output is correct |
25 |
Correct |
0 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
0 ms |
600 KB |
Output is correct |
33 |
Correct |
0 ms |
604 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 |
1 ms |
344 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
604 KB |
Output is correct |
40 |
Correct |
1 ms |
1112 KB |
Output is correct |
41 |
Correct |
2 ms |
2136 KB |
Output is correct |
42 |
Correct |
1 ms |
2136 KB |
Output is correct |
43 |
Correct |
1 ms |
2140 KB |
Output is correct |
44 |
Correct |
1 ms |
2140 KB |
Output is correct |
45 |
Correct |
1 ms |
2140 KB |
Output is correct |
46 |
Correct |
1 ms |
2140 KB |
Output is correct |
47 |
Correct |
2 ms |
2140 KB |
Output is correct |
48 |
Correct |
1 ms |
2136 KB |
Output is correct |
49 |
Correct |
1 ms |
2248 KB |
Output is correct |
50 |
Correct |
1 ms |
2140 KB |
Output is correct |
51 |
Correct |
2 ms |
2136 KB |
Output is correct |
52 |
Correct |
1 ms |
2136 KB |
Output is correct |
53 |
Correct |
2 ms |
2140 KB |
Output is correct |
54 |
Correct |
5 ms |
5468 KB |
Output is correct |
55 |
Correct |
26 ms |
16220 KB |
Output is correct |
56 |
Correct |
18 ms |
16220 KB |
Output is correct |
57 |
Correct |
15 ms |
16220 KB |
Output is correct |
58 |
Correct |
15 ms |
16220 KB |
Output is correct |
59 |
Correct |
13 ms |
16352 KB |
Output is correct |
60 |
Correct |
12 ms |
16220 KB |
Output is correct |
61 |
Correct |
14 ms |
16220 KB |
Output is correct |
62 |
Correct |
21 ms |
16356 KB |
Output is correct |
63 |
Correct |
13 ms |
16220 KB |
Output is correct |
64 |
Correct |
15 ms |
16352 KB |
Output is correct |
65 |
Correct |
22 ms |
16216 KB |
Output is correct |
66 |
Correct |
23 ms |
16352 KB |
Output is correct |
67 |
Correct |
15 ms |
16220 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 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 |
464 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
96 ms |
41188 KB |
Output is correct |
14 |
Correct |
131 ms |
46916 KB |
Output is correct |
15 |
Correct |
145 ms |
53072 KB |
Output is correct |
16 |
Correct |
184 ms |
59984 KB |
Output is correct |
17 |
Correct |
215 ms |
67412 KB |
Output is correct |
18 |
Correct |
208 ms |
67412 KB |
Output is correct |
19 |
Correct |
204 ms |
67408 KB |
Output is correct |
20 |
Correct |
0 ms |
344 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
344 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 |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
716 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
344 KB |
Output is correct |
32 |
Correct |
0 ms |
600 KB |
Output is correct |
33 |
Correct |
0 ms |
344 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 |
0 ms |
604 KB |
Output is correct |
39 |
Correct |
0 ms |
604 KB |
Output is correct |
40 |
Correct |
1 ms |
604 KB |
Output is correct |
41 |
Correct |
0 ms |
604 KB |
Output is correct |
42 |
Correct |
0 ms |
604 KB |
Output is correct |
43 |
Correct |
0 ms |
604 KB |
Output is correct |
44 |
Correct |
0 ms |
604 KB |
Output is correct |
45 |
Correct |
0 ms |
604 KB |
Output is correct |
46 |
Correct |
0 ms |
604 KB |
Output is correct |
47 |
Correct |
0 ms |
604 KB |
Output is correct |
48 |
Correct |
0 ms |
604 KB |
Output is correct |
49 |
Correct |
0 ms |
600 KB |
Output is correct |
50 |
Correct |
0 ms |
604 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
0 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
344 KB |
Output is correct |
55 |
Correct |
0 ms |
348 KB |
Output is correct |
56 |
Correct |
0 ms |
604 KB |
Output is correct |
57 |
Correct |
1 ms |
1112 KB |
Output is correct |
58 |
Correct |
2 ms |
2136 KB |
Output is correct |
59 |
Correct |
1 ms |
2136 KB |
Output is correct |
60 |
Correct |
1 ms |
2140 KB |
Output is correct |
61 |
Correct |
1 ms |
2140 KB |
Output is correct |
62 |
Correct |
1 ms |
2140 KB |
Output is correct |
63 |
Correct |
1 ms |
2140 KB |
Output is correct |
64 |
Correct |
2 ms |
2140 KB |
Output is correct |
65 |
Correct |
1 ms |
2136 KB |
Output is correct |
66 |
Correct |
1 ms |
2248 KB |
Output is correct |
67 |
Correct |
1 ms |
2140 KB |
Output is correct |
68 |
Correct |
2 ms |
2136 KB |
Output is correct |
69 |
Correct |
1 ms |
2136 KB |
Output is correct |
70 |
Correct |
2 ms |
2140 KB |
Output is correct |
71 |
Correct |
5 ms |
5468 KB |
Output is correct |
72 |
Correct |
26 ms |
16220 KB |
Output is correct |
73 |
Correct |
18 ms |
16220 KB |
Output is correct |
74 |
Correct |
15 ms |
16220 KB |
Output is correct |
75 |
Correct |
15 ms |
16220 KB |
Output is correct |
76 |
Correct |
13 ms |
16352 KB |
Output is correct |
77 |
Correct |
12 ms |
16220 KB |
Output is correct |
78 |
Correct |
14 ms |
16220 KB |
Output is correct |
79 |
Correct |
21 ms |
16356 KB |
Output is correct |
80 |
Correct |
13 ms |
16220 KB |
Output is correct |
81 |
Correct |
15 ms |
16352 KB |
Output is correct |
82 |
Correct |
22 ms |
16216 KB |
Output is correct |
83 |
Correct |
23 ms |
16352 KB |
Output is correct |
84 |
Correct |
15 ms |
16220 KB |
Output is correct |
85 |
Correct |
47 ms |
32588 KB |
Output is correct |
86 |
Correct |
128 ms |
67408 KB |
Output is correct |
87 |
Correct |
113 ms |
67296 KB |
Output is correct |
88 |
Correct |
104 ms |
67384 KB |
Output is correct |
89 |
Correct |
80 ms |
67412 KB |
Output is correct |
90 |
Correct |
83 ms |
67412 KB |
Output is correct |
91 |
Correct |
159 ms |
67412 KB |
Output is correct |
92 |
Correct |
190 ms |
67408 KB |
Output is correct |
93 |
Correct |
101 ms |
67408 KB |
Output is correct |
94 |
Correct |
104 ms |
67412 KB |
Output is correct |
95 |
Correct |
260 ms |
67500 KB |
Output is correct |
96 |
Correct |
202 ms |
67664 KB |
Output is correct |
97 |
Correct |
80 ms |
67316 KB |
Output is correct |