#include<bits/stdc++.h>
using namespace std;
const short maxn=2500+10;
short lcp[maxn][maxn],nxt[maxn][maxn],n;
long long dp[maxn][maxn],a,b,c,inf=1e15;
string s;
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>s;
cin>>a>>b>>c;
for(short i=n-1;i>=0;i--){
for(short j=i+1;j<n;j++){
if(s[i]==s[j]){
lcp[i][j]=lcp[i+1][j+1]+1;
}
}
}
for(short i=0;i<maxn;i++){
for(short j=0;j<maxn;j++){
nxt[i][j]=n+3;
}
}
for(short i=0;i<n;i++){
for(short j=n-1;j>i;j--){
nxt[i][lcp[i][j]>(j-i)?(j-i):lcp[i][j]]=j;
}
for(short j=n;j>=0;j--){
nxt[i][j]=min(nxt[i][j],nxt[i][j+1]);
}
}
for(short i=0;i<maxn;i++){
for(short j=0;j<maxn;j++){
dp[i][j]=inf;
}
}
for(short i=n-1;i>=0;i--){
dp[i][i]=a;
for(short j=i+1;j<n;j++){
dp[i][j]=min(dp[i][j],min(dp[i+1][j],dp[i][j-1])+a);
}
for(short j=1;j<n;j++){
dp[i][j+i-1]=min(dp[i][j+i-1],min(dp[i+1][j+i-1],dp[i][j+i-2])+a);
short ted=2;
long long z=dp[i][j+i-1];
for(long long h=nxt[i][j];h!=n+3;h=nxt[h][j]){
// cout<<i<<" "<<h<<" "<<j<<" "<<ted<<" "<<z<<" "<<endl;
dp[i][h+j-1]=min(dp[i][h+j-1],z+c*ted+b+a*(h+j-i-(ted*j)));
ted++;
}
}
for(long long j=i+1;j<n;j++){
dp[i][j]=min(dp[i][j],min(dp[i+1][j],dp[i][j-1])+a);
}
}
cout<<dp[0][n-1]<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
62040 KB |
Output is correct |
2 |
Correct |
11 ms |
62044 KB |
Output is correct |
3 |
Correct |
11 ms |
62044 KB |
Output is correct |
4 |
Correct |
14 ms |
62044 KB |
Output is correct |
5 |
Correct |
11 ms |
62044 KB |
Output is correct |
6 |
Correct |
13 ms |
62044 KB |
Output is correct |
7 |
Correct |
10 ms |
62168 KB |
Output is correct |
8 |
Correct |
11 ms |
62044 KB |
Output is correct |
9 |
Correct |
11 ms |
62040 KB |
Output is correct |
10 |
Correct |
11 ms |
62040 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
62044 KB |
Output is correct |
2 |
Correct |
11 ms |
62044 KB |
Output is correct |
3 |
Correct |
117 ms |
70740 KB |
Output is correct |
4 |
Correct |
122 ms |
71612 KB |
Output is correct |
5 |
Correct |
160 ms |
72316 KB |
Output is correct |
6 |
Correct |
175 ms |
73044 KB |
Output is correct |
7 |
Correct |
208 ms |
74068 KB |
Output is correct |
8 |
Correct |
210 ms |
74160 KB |
Output is correct |
9 |
Correct |
227 ms |
74372 KB |
Output is correct |
10 |
Correct |
10 ms |
62044 KB |
Output is correct |
11 |
Correct |
11 ms |
61932 KB |
Output is correct |
12 |
Correct |
11 ms |
62040 KB |
Output is correct |
13 |
Correct |
11 ms |
62044 KB |
Output is correct |
14 |
Correct |
11 ms |
62096 KB |
Output is correct |
15 |
Correct |
11 ms |
62044 KB |
Output is correct |
16 |
Correct |
10 ms |
62168 KB |
Output is correct |
17 |
Correct |
11 ms |
62044 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
62040 KB |
Output is correct |
2 |
Correct |
11 ms |
62044 KB |
Output is correct |
3 |
Correct |
11 ms |
62044 KB |
Output is correct |
4 |
Correct |
14 ms |
62044 KB |
Output is correct |
5 |
Correct |
11 ms |
62044 KB |
Output is correct |
6 |
Correct |
13 ms |
62044 KB |
Output is correct |
7 |
Correct |
10 ms |
62168 KB |
Output is correct |
8 |
Correct |
11 ms |
62044 KB |
Output is correct |
9 |
Correct |
11 ms |
62040 KB |
Output is correct |
10 |
Correct |
11 ms |
62040 KB |
Output is correct |
11 |
Correct |
11 ms |
62044 KB |
Output is correct |
12 |
Correct |
11 ms |
62044 KB |
Output is correct |
13 |
Correct |
11 ms |
62044 KB |
Output is correct |
14 |
Correct |
11 ms |
62124 KB |
Output is correct |
15 |
Correct |
11 ms |
62044 KB |
Output is correct |
16 |
Correct |
11 ms |
62044 KB |
Output is correct |
17 |
Correct |
11 ms |
62044 KB |
Output is correct |
18 |
Correct |
10 ms |
62044 KB |
Output is correct |
19 |
Correct |
12 ms |
62044 KB |
Output is correct |
20 |
Correct |
11 ms |
61928 KB |
Output is correct |
21 |
Correct |
11 ms |
62236 KB |
Output is correct |
22 |
Correct |
10 ms |
62040 KB |
Output is correct |
23 |
Correct |
11 ms |
62040 KB |
Output is correct |
24 |
Correct |
11 ms |
62044 KB |
Output is correct |
25 |
Correct |
12 ms |
62044 KB |
Output is correct |
26 |
Correct |
11 ms |
62208 KB |
Output is correct |
27 |
Correct |
11 ms |
62044 KB |
Output is correct |
28 |
Correct |
11 ms |
62044 KB |
Output is correct |
29 |
Correct |
10 ms |
62044 KB |
Output is correct |
30 |
Correct |
11 ms |
62180 KB |
Output is correct |
31 |
Correct |
11 ms |
62044 KB |
Output is correct |
32 |
Correct |
11 ms |
62044 KB |
Output is correct |
33 |
Correct |
11 ms |
62116 KB |
Output is correct |
34 |
Correct |
10 ms |
62156 KB |
Output is correct |
35 |
Correct |
12 ms |
62212 KB |
Output is correct |
36 |
Correct |
11 ms |
62044 KB |
Output is correct |
37 |
Correct |
11 ms |
61944 KB |
Output is correct |
38 |
Correct |
11 ms |
62044 KB |
Output is correct |
39 |
Correct |
11 ms |
62040 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
62040 KB |
Output is correct |
2 |
Correct |
11 ms |
62044 KB |
Output is correct |
3 |
Correct |
11 ms |
62044 KB |
Output is correct |
4 |
Correct |
14 ms |
62044 KB |
Output is correct |
5 |
Correct |
11 ms |
62044 KB |
Output is correct |
6 |
Correct |
13 ms |
62044 KB |
Output is correct |
7 |
Correct |
10 ms |
62168 KB |
Output is correct |
8 |
Correct |
11 ms |
62044 KB |
Output is correct |
9 |
Correct |
11 ms |
62040 KB |
Output is correct |
10 |
Correct |
11 ms |
62040 KB |
Output is correct |
11 |
Correct |
11 ms |
62044 KB |
Output is correct |
12 |
Correct |
11 ms |
62044 KB |
Output is correct |
13 |
Correct |
11 ms |
62044 KB |
Output is correct |
14 |
Correct |
11 ms |
62124 KB |
Output is correct |
15 |
Correct |
11 ms |
62044 KB |
Output is correct |
16 |
Correct |
11 ms |
62044 KB |
Output is correct |
17 |
Correct |
11 ms |
62044 KB |
Output is correct |
18 |
Correct |
10 ms |
62044 KB |
Output is correct |
19 |
Correct |
12 ms |
62044 KB |
Output is correct |
20 |
Correct |
11 ms |
61928 KB |
Output is correct |
21 |
Correct |
11 ms |
62236 KB |
Output is correct |
22 |
Correct |
10 ms |
62040 KB |
Output is correct |
23 |
Correct |
11 ms |
62040 KB |
Output is correct |
24 |
Correct |
11 ms |
62044 KB |
Output is correct |
25 |
Correct |
12 ms |
62044 KB |
Output is correct |
26 |
Correct |
11 ms |
62208 KB |
Output is correct |
27 |
Correct |
11 ms |
62044 KB |
Output is correct |
28 |
Correct |
11 ms |
62044 KB |
Output is correct |
29 |
Correct |
10 ms |
62044 KB |
Output is correct |
30 |
Correct |
11 ms |
62180 KB |
Output is correct |
31 |
Correct |
11 ms |
62044 KB |
Output is correct |
32 |
Correct |
11 ms |
62044 KB |
Output is correct |
33 |
Correct |
11 ms |
62116 KB |
Output is correct |
34 |
Correct |
10 ms |
62156 KB |
Output is correct |
35 |
Correct |
12 ms |
62212 KB |
Output is correct |
36 |
Correct |
11 ms |
62044 KB |
Output is correct |
37 |
Correct |
11 ms |
61944 KB |
Output is correct |
38 |
Correct |
11 ms |
62044 KB |
Output is correct |
39 |
Correct |
11 ms |
62040 KB |
Output is correct |
40 |
Correct |
11 ms |
62300 KB |
Output is correct |
41 |
Correct |
15 ms |
62812 KB |
Output is correct |
42 |
Correct |
11 ms |
62812 KB |
Output is correct |
43 |
Correct |
12 ms |
62896 KB |
Output is correct |
44 |
Correct |
11 ms |
62812 KB |
Output is correct |
45 |
Correct |
11 ms |
62888 KB |
Output is correct |
46 |
Correct |
12 ms |
62828 KB |
Output is correct |
47 |
Correct |
13 ms |
62808 KB |
Output is correct |
48 |
Correct |
11 ms |
62768 KB |
Output is correct |
49 |
Correct |
12 ms |
62868 KB |
Output is correct |
50 |
Correct |
11 ms |
62812 KB |
Output is correct |
51 |
Correct |
11 ms |
62812 KB |
Output is correct |
52 |
Correct |
11 ms |
63064 KB |
Output is correct |
53 |
Correct |
12 ms |
62812 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
62040 KB |
Output is correct |
2 |
Correct |
11 ms |
62044 KB |
Output is correct |
3 |
Correct |
11 ms |
62044 KB |
Output is correct |
4 |
Correct |
14 ms |
62044 KB |
Output is correct |
5 |
Correct |
11 ms |
62044 KB |
Output is correct |
6 |
Correct |
13 ms |
62044 KB |
Output is correct |
7 |
Correct |
10 ms |
62168 KB |
Output is correct |
8 |
Correct |
11 ms |
62044 KB |
Output is correct |
9 |
Correct |
11 ms |
62040 KB |
Output is correct |
10 |
Correct |
11 ms |
62040 KB |
Output is correct |
11 |
Correct |
11 ms |
62044 KB |
Output is correct |
12 |
Correct |
11 ms |
62044 KB |
Output is correct |
13 |
Correct |
11 ms |
62044 KB |
Output is correct |
14 |
Correct |
11 ms |
62124 KB |
Output is correct |
15 |
Correct |
11 ms |
62044 KB |
Output is correct |
16 |
Correct |
11 ms |
62044 KB |
Output is correct |
17 |
Correct |
11 ms |
62044 KB |
Output is correct |
18 |
Correct |
10 ms |
62044 KB |
Output is correct |
19 |
Correct |
12 ms |
62044 KB |
Output is correct |
20 |
Correct |
11 ms |
61928 KB |
Output is correct |
21 |
Correct |
11 ms |
62236 KB |
Output is correct |
22 |
Correct |
10 ms |
62040 KB |
Output is correct |
23 |
Correct |
11 ms |
62040 KB |
Output is correct |
24 |
Correct |
11 ms |
62044 KB |
Output is correct |
25 |
Correct |
12 ms |
62044 KB |
Output is correct |
26 |
Correct |
11 ms |
62208 KB |
Output is correct |
27 |
Correct |
11 ms |
62044 KB |
Output is correct |
28 |
Correct |
11 ms |
62044 KB |
Output is correct |
29 |
Correct |
10 ms |
62044 KB |
Output is correct |
30 |
Correct |
11 ms |
62180 KB |
Output is correct |
31 |
Correct |
11 ms |
62044 KB |
Output is correct |
32 |
Correct |
11 ms |
62044 KB |
Output is correct |
33 |
Correct |
11 ms |
62116 KB |
Output is correct |
34 |
Correct |
10 ms |
62156 KB |
Output is correct |
35 |
Correct |
12 ms |
62212 KB |
Output is correct |
36 |
Correct |
11 ms |
62044 KB |
Output is correct |
37 |
Correct |
11 ms |
61944 KB |
Output is correct |
38 |
Correct |
11 ms |
62044 KB |
Output is correct |
39 |
Correct |
11 ms |
62040 KB |
Output is correct |
40 |
Correct |
11 ms |
62300 KB |
Output is correct |
41 |
Correct |
15 ms |
62812 KB |
Output is correct |
42 |
Correct |
11 ms |
62812 KB |
Output is correct |
43 |
Correct |
12 ms |
62896 KB |
Output is correct |
44 |
Correct |
11 ms |
62812 KB |
Output is correct |
45 |
Correct |
11 ms |
62888 KB |
Output is correct |
46 |
Correct |
12 ms |
62828 KB |
Output is correct |
47 |
Correct |
13 ms |
62808 KB |
Output is correct |
48 |
Correct |
11 ms |
62768 KB |
Output is correct |
49 |
Correct |
12 ms |
62868 KB |
Output is correct |
50 |
Correct |
11 ms |
62812 KB |
Output is correct |
51 |
Correct |
11 ms |
62812 KB |
Output is correct |
52 |
Correct |
11 ms |
63064 KB |
Output is correct |
53 |
Correct |
12 ms |
62812 KB |
Output is correct |
54 |
Correct |
14 ms |
64088 KB |
Output is correct |
55 |
Correct |
35 ms |
66824 KB |
Output is correct |
56 |
Correct |
25 ms |
66652 KB |
Output is correct |
57 |
Correct |
26 ms |
66652 KB |
Output is correct |
58 |
Correct |
23 ms |
66652 KB |
Output is correct |
59 |
Correct |
23 ms |
66848 KB |
Output is correct |
60 |
Correct |
26 ms |
66772 KB |
Output is correct |
61 |
Correct |
24 ms |
66652 KB |
Output is correct |
62 |
Correct |
32 ms |
66648 KB |
Output is correct |
63 |
Correct |
23 ms |
66752 KB |
Output is correct |
64 |
Correct |
24 ms |
66728 KB |
Output is correct |
65 |
Correct |
26 ms |
66648 KB |
Output is correct |
66 |
Correct |
26 ms |
66848 KB |
Output is correct |
67 |
Correct |
23 ms |
66768 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
62040 KB |
Output is correct |
2 |
Correct |
11 ms |
62044 KB |
Output is correct |
3 |
Correct |
11 ms |
62044 KB |
Output is correct |
4 |
Correct |
14 ms |
62044 KB |
Output is correct |
5 |
Correct |
11 ms |
62044 KB |
Output is correct |
6 |
Correct |
13 ms |
62044 KB |
Output is correct |
7 |
Correct |
10 ms |
62168 KB |
Output is correct |
8 |
Correct |
11 ms |
62044 KB |
Output is correct |
9 |
Correct |
11 ms |
62040 KB |
Output is correct |
10 |
Correct |
11 ms |
62040 KB |
Output is correct |
11 |
Correct |
11 ms |
62044 KB |
Output is correct |
12 |
Correct |
11 ms |
62044 KB |
Output is correct |
13 |
Correct |
117 ms |
70740 KB |
Output is correct |
14 |
Correct |
122 ms |
71612 KB |
Output is correct |
15 |
Correct |
160 ms |
72316 KB |
Output is correct |
16 |
Correct |
175 ms |
73044 KB |
Output is correct |
17 |
Correct |
208 ms |
74068 KB |
Output is correct |
18 |
Correct |
210 ms |
74160 KB |
Output is correct |
19 |
Correct |
227 ms |
74372 KB |
Output is correct |
20 |
Correct |
10 ms |
62044 KB |
Output is correct |
21 |
Correct |
11 ms |
61932 KB |
Output is correct |
22 |
Correct |
11 ms |
62040 KB |
Output is correct |
23 |
Correct |
11 ms |
62044 KB |
Output is correct |
24 |
Correct |
11 ms |
62096 KB |
Output is correct |
25 |
Correct |
11 ms |
62044 KB |
Output is correct |
26 |
Correct |
10 ms |
62168 KB |
Output is correct |
27 |
Correct |
11 ms |
62044 KB |
Output is correct |
28 |
Correct |
11 ms |
62044 KB |
Output is correct |
29 |
Correct |
11 ms |
62044 KB |
Output is correct |
30 |
Correct |
11 ms |
62044 KB |
Output is correct |
31 |
Correct |
11 ms |
62124 KB |
Output is correct |
32 |
Correct |
11 ms |
62044 KB |
Output is correct |
33 |
Correct |
11 ms |
62044 KB |
Output is correct |
34 |
Correct |
11 ms |
62044 KB |
Output is correct |
35 |
Correct |
10 ms |
62044 KB |
Output is correct |
36 |
Correct |
12 ms |
62044 KB |
Output is correct |
37 |
Correct |
11 ms |
61928 KB |
Output is correct |
38 |
Correct |
11 ms |
62236 KB |
Output is correct |
39 |
Correct |
10 ms |
62040 KB |
Output is correct |
40 |
Correct |
11 ms |
62040 KB |
Output is correct |
41 |
Correct |
11 ms |
62044 KB |
Output is correct |
42 |
Correct |
12 ms |
62044 KB |
Output is correct |
43 |
Correct |
11 ms |
62208 KB |
Output is correct |
44 |
Correct |
11 ms |
62044 KB |
Output is correct |
45 |
Correct |
11 ms |
62044 KB |
Output is correct |
46 |
Correct |
10 ms |
62044 KB |
Output is correct |
47 |
Correct |
11 ms |
62180 KB |
Output is correct |
48 |
Correct |
11 ms |
62044 KB |
Output is correct |
49 |
Correct |
11 ms |
62044 KB |
Output is correct |
50 |
Correct |
11 ms |
62116 KB |
Output is correct |
51 |
Correct |
10 ms |
62156 KB |
Output is correct |
52 |
Correct |
12 ms |
62212 KB |
Output is correct |
53 |
Correct |
11 ms |
62044 KB |
Output is correct |
54 |
Correct |
11 ms |
61944 KB |
Output is correct |
55 |
Correct |
11 ms |
62044 KB |
Output is correct |
56 |
Correct |
11 ms |
62040 KB |
Output is correct |
57 |
Correct |
11 ms |
62300 KB |
Output is correct |
58 |
Correct |
15 ms |
62812 KB |
Output is correct |
59 |
Correct |
11 ms |
62812 KB |
Output is correct |
60 |
Correct |
12 ms |
62896 KB |
Output is correct |
61 |
Correct |
11 ms |
62812 KB |
Output is correct |
62 |
Correct |
11 ms |
62888 KB |
Output is correct |
63 |
Correct |
12 ms |
62828 KB |
Output is correct |
64 |
Correct |
13 ms |
62808 KB |
Output is correct |
65 |
Correct |
11 ms |
62768 KB |
Output is correct |
66 |
Correct |
12 ms |
62868 KB |
Output is correct |
67 |
Correct |
11 ms |
62812 KB |
Output is correct |
68 |
Correct |
11 ms |
62812 KB |
Output is correct |
69 |
Correct |
11 ms |
63064 KB |
Output is correct |
70 |
Correct |
12 ms |
62812 KB |
Output is correct |
71 |
Correct |
14 ms |
64088 KB |
Output is correct |
72 |
Correct |
35 ms |
66824 KB |
Output is correct |
73 |
Correct |
25 ms |
66652 KB |
Output is correct |
74 |
Correct |
26 ms |
66652 KB |
Output is correct |
75 |
Correct |
23 ms |
66652 KB |
Output is correct |
76 |
Correct |
23 ms |
66848 KB |
Output is correct |
77 |
Correct |
26 ms |
66772 KB |
Output is correct |
78 |
Correct |
24 ms |
66652 KB |
Output is correct |
79 |
Correct |
32 ms |
66648 KB |
Output is correct |
80 |
Correct |
23 ms |
66752 KB |
Output is correct |
81 |
Correct |
24 ms |
66728 KB |
Output is correct |
82 |
Correct |
26 ms |
66648 KB |
Output is correct |
83 |
Correct |
26 ms |
66848 KB |
Output is correct |
84 |
Correct |
23 ms |
66768 KB |
Output is correct |
85 |
Correct |
45 ms |
69468 KB |
Output is correct |
86 |
Correct |
99 ms |
74064 KB |
Output is correct |
87 |
Correct |
91 ms |
74064 KB |
Output is correct |
88 |
Correct |
88 ms |
74136 KB |
Output is correct |
89 |
Correct |
84 ms |
74104 KB |
Output is correct |
90 |
Correct |
82 ms |
73768 KB |
Output is correct |
91 |
Correct |
102 ms |
74020 KB |
Output is correct |
92 |
Correct |
127 ms |
74120 KB |
Output is correct |
93 |
Correct |
87 ms |
74060 KB |
Output is correct |
94 |
Correct |
87 ms |
74040 KB |
Output is correct |
95 |
Correct |
117 ms |
74136 KB |
Output is correct |
96 |
Correct |
118 ms |
74380 KB |
Output is correct |
97 |
Correct |
87 ms |
73988 KB |
Output is correct |