#pragma GCC optimize("Ofast","O3","unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define all(x) x.begin(),x.end()
#define x first
#define y second
#define endl '\n'
const int K=29,mod=1234567891,INF=1e18;
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;cin>>n;
vector<char> v(n+1);
for(int i=1;i<=n;i++){
cin>>v[i];
}
int A,B,C;cin>>A>>B>>C;
vector<vector<int>> h(n+2,vector<int>(n+2));
for(int i=1;i<=n;i++){
for(int j=i;j<=n;j++){
h[i][j]=h[i][j-1]*K+v[j]-'a'+1;
h[i][j]%=mod;
}
}
vector<vector<int>> dp(n+2,vector<int>(n+2,INF));
for(int i=1;i<=n;i++){
dp[i][i]=A;
}
for(int i=1;i<=n;i++){
for(int j=1;j+i-1<=n;j++){
int k=j+i-1;
dp[j][k]=min({dp[j+1][k]+A,dp[j][k-1]+A,dp[j][k]});
int cnt=1,cnt1=0;
int j1=k+1;
while(j1<=n){
if(j1+i-1<=n&&h[j][k]==h[j1][j1+i-1]){
for(int j2=j1;j2<j1+i-1;j2++){
//cout<<"---"<<endl;
//cout<<j<<' '<<k<<' '<<j2<<endl;
cnt1++;
dp[j][j2]=min(dp[j][j2],dp[j][k]+A*cnt1+B+C*cnt);
//cnt1++;
}
cnt1-=i-1;
cnt++;
dp[j][j1+i-1]=min(dp[j][j1+i-1],dp[j][k]+A*cnt1+B+C*cnt);
j1=j1+i;
}
else{
cnt1++;
//cout<<j<<' '<<k<<' '<<j1<<endl;
dp[j][j1]=min(dp[j][j1],dp[j][k]+A*cnt1+B+C*cnt);
j1++;
}
}
}
}
/*for(int i=1;i<=n;i++){
for(int j=i;j<=n;j++){
cout<<dp[i][j]<<' ';
}
cout<<endl;
}*/
cout<<dp[1][n]<<endl;
return 0;
}
/*
10 20 30 40 50 49 59 51 59 69 79
10 20 30 40 39 49 41 49 59 69
10 20 30 29 39 31 41 49 59
10 20 30 40 39 49 49 59
10 20 30 40 39 49 59
10 20 30 29 39 49
10 20 30 40 50
10 20 30 40
10 20 30
10 20
10
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
2008 ms |
52888 KB |
Output is correct |
4 |
Correct |
2473 ms |
61756 KB |
Output is correct |
5 |
Execution timed out |
3054 ms |
72140 KB |
Time limit exceeded |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
320 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 |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
316 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
324 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
320 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
320 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 |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
316 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
324 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
320 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
320 KB |
Output is correct |
41 |
Correct |
4 ms |
964 KB |
Output is correct |
42 |
Correct |
5 ms |
852 KB |
Output is correct |
43 |
Correct |
5 ms |
980 KB |
Output is correct |
44 |
Correct |
5 ms |
852 KB |
Output is correct |
45 |
Correct |
6 ms |
852 KB |
Output is correct |
46 |
Correct |
5 ms |
980 KB |
Output is correct |
47 |
Correct |
4 ms |
852 KB |
Output is correct |
48 |
Correct |
4 ms |
852 KB |
Output is correct |
49 |
Correct |
5 ms |
852 KB |
Output is correct |
50 |
Correct |
4 ms |
852 KB |
Output is correct |
51 |
Correct |
4 ms |
852 KB |
Output is correct |
52 |
Correct |
4 ms |
852 KB |
Output is correct |
53 |
Correct |
4 ms |
960 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
320 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 |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
316 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
324 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
320 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
320 KB |
Output is correct |
41 |
Correct |
4 ms |
964 KB |
Output is correct |
42 |
Correct |
5 ms |
852 KB |
Output is correct |
43 |
Correct |
5 ms |
980 KB |
Output is correct |
44 |
Correct |
5 ms |
852 KB |
Output is correct |
45 |
Correct |
6 ms |
852 KB |
Output is correct |
46 |
Correct |
5 ms |
980 KB |
Output is correct |
47 |
Correct |
4 ms |
852 KB |
Output is correct |
48 |
Correct |
4 ms |
852 KB |
Output is correct |
49 |
Correct |
5 ms |
852 KB |
Output is correct |
50 |
Correct |
4 ms |
852 KB |
Output is correct |
51 |
Correct |
4 ms |
852 KB |
Output is correct |
52 |
Correct |
4 ms |
852 KB |
Output is correct |
53 |
Correct |
4 ms |
960 KB |
Output is correct |
54 |
Correct |
43 ms |
3488 KB |
Output is correct |
55 |
Correct |
280 ms |
16116 KB |
Output is correct |
56 |
Correct |
421 ms |
16108 KB |
Output is correct |
57 |
Correct |
428 ms |
16108 KB |
Output is correct |
58 |
Correct |
426 ms |
16108 KB |
Output is correct |
59 |
Correct |
418 ms |
16084 KB |
Output is correct |
60 |
Correct |
438 ms |
16104 KB |
Output is correct |
61 |
Correct |
382 ms |
16032 KB |
Output is correct |
62 |
Correct |
297 ms |
16156 KB |
Output is correct |
63 |
Correct |
395 ms |
16108 KB |
Output is correct |
64 |
Correct |
417 ms |
16204 KB |
Output is correct |
65 |
Correct |
387 ms |
16120 KB |
Output is correct |
66 |
Correct |
365 ms |
16084 KB |
Output is correct |
67 |
Correct |
458 ms |
16112 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
2008 ms |
52888 KB |
Output is correct |
14 |
Correct |
2473 ms |
61756 KB |
Output is correct |
15 |
Execution timed out |
3054 ms |
72140 KB |
Time limit exceeded |
16 |
Halted |
0 ms |
0 KB |
- |