#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
#define int ll
const int N = 2505;
ll dp[N][N]; string s;
int a,b,c;
int h[N][N];
const int MOD = 712271227;
const int P = 101;
int hsh[N];
int ppow[N];
int get(int l,int r){
ll ans = hsh[r];
ans = (ans-(1LL*hsh[l-1]*ppow[r-l+1])%MOD)%MOD;
if(ans<0) ans+=MOD;
return ans;
}
signed main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
int n;cin>>n;
cin>>s;
cin>>a>>b>>c;
ppow[0]=1;
for(int i=1;i<=n;i++){
hsh[i] = (1LL*hsh[i-1]*P)%MOD;
hsh[i]+=(s[i-1]-'a');
hsh[i]%=MOD;
ppow[i] = (1LL*P*ppow[i-1])%MOD;
}
for(int len=1;len<=n;len++){
vector<pair<int,int> > hsharr;
for(int i=1;i+len-1<=n;i++){
hsharr.push_back({get(i,i+len-1),i});
}
sort(hsharr.begin(),hsharr.end());
int k = hsharr.size();
int l = 0;int r = 0;
int head = 0;
for(;l<k;l++){
while(r<k && hsharr[r].first==hsharr[l].first) r++;
while(head<r && hsharr[head].second<=hsharr[l].second+len-1) head++;
if(head<r) h[hsharr[l].second][len]=hsharr[head].second;
}
}
/*for(int l=1;l<=n;l++){
for(int i=1;i<=n;i++){
cout<<h[i][l]<<" ";
}
cout<<"\n";
}*/
for(int i=0;i<=n;i++){
for(int j=i;j<=n;j++){
dp[i][j] = 1LL*(j-i+1)*a+b;
}
}
for(int l=1;l<n;l++){
// cout<<l<<":";
for(int i=1;i+l-1<=n;i++){
int j = i+l-1;
dp[i-1][j] = min(dp[i][j]+a,dp[i-1][j]);
dp[i][j+1] = min(dp[i][j]+a,dp[i][j+1]);
int cnt =2;
int k = h[i][l];
for(;k+l-1<=n && k>0 ;k=h[k][l]){
dp[i][k+l-1] = min(dp[i][k+l-1],dp[i][i+l-1]+1LL*c*cnt+1LL*a*((k+l-i)-(cnt*l))+b);
cnt++;
}
}
}
/*for(int i=1;i<=n;i++){
for(int j=i;j<=n;j++) cout<<dp[i][j]<<" ";
cout<<"\n";
}*/
//cout<<n<<"\n";
//cout<<s<<"\n";
cout<<dp[1][n]-b<<"\n";
return 0;
}
/*
18
aababbbababbbaabbb
100
1
10
806020000
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6492 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
162 ms |
76460 KB |
Output is correct |
4 |
Correct |
200 ms |
80800 KB |
Output is correct |
5 |
Correct |
253 ms |
88900 KB |
Output is correct |
6 |
Correct |
313 ms |
94940 KB |
Output is correct |
7 |
Correct |
347 ms |
97256 KB |
Output is correct |
8 |
Correct |
359 ms |
97476 KB |
Output is correct |
9 |
Correct |
354 ms |
97480 KB |
Output is correct |
10 |
Correct |
1 ms |
2648 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2396 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
6492 KB |
Output is correct |
17 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
6492 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
6492 KB |
Output is correct |
22 |
Correct |
1 ms |
6644 KB |
Output is correct |
23 |
Correct |
1 ms |
6492 KB |
Output is correct |
24 |
Correct |
1 ms |
6492 KB |
Output is correct |
25 |
Correct |
1 ms |
6488 KB |
Output is correct |
26 |
Correct |
1 ms |
6488 KB |
Output is correct |
27 |
Correct |
1 ms |
6492 KB |
Output is correct |
28 |
Correct |
1 ms |
6492 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
6492 KB |
Output is correct |
33 |
Correct |
1 ms |
6488 KB |
Output is correct |
34 |
Correct |
0 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2392 KB |
Output is correct |
36 |
Correct |
0 ms |
2396 KB |
Output is correct |
37 |
Correct |
1 ms |
4444 KB |
Output is correct |
38 |
Correct |
1 ms |
4444 KB |
Output is correct |
39 |
Correct |
1 ms |
6492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
6492 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
6492 KB |
Output is correct |
22 |
Correct |
1 ms |
6644 KB |
Output is correct |
23 |
Correct |
1 ms |
6492 KB |
Output is correct |
24 |
Correct |
1 ms |
6492 KB |
Output is correct |
25 |
Correct |
1 ms |
6488 KB |
Output is correct |
26 |
Correct |
1 ms |
6488 KB |
Output is correct |
27 |
Correct |
1 ms |
6492 KB |
Output is correct |
28 |
Correct |
1 ms |
6492 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
6492 KB |
Output is correct |
33 |
Correct |
1 ms |
6488 KB |
Output is correct |
34 |
Correct |
0 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2392 KB |
Output is correct |
36 |
Correct |
0 ms |
2396 KB |
Output is correct |
37 |
Correct |
1 ms |
4444 KB |
Output is correct |
38 |
Correct |
1 ms |
4444 KB |
Output is correct |
39 |
Correct |
1 ms |
6492 KB |
Output is correct |
40 |
Correct |
1 ms |
6492 KB |
Output is correct |
41 |
Correct |
2 ms |
10588 KB |
Output is correct |
42 |
Correct |
2 ms |
10584 KB |
Output is correct |
43 |
Correct |
2 ms |
10588 KB |
Output is correct |
44 |
Correct |
2 ms |
10588 KB |
Output is correct |
45 |
Correct |
2 ms |
10588 KB |
Output is correct |
46 |
Correct |
3 ms |
10584 KB |
Output is correct |
47 |
Correct |
3 ms |
10588 KB |
Output is correct |
48 |
Correct |
2 ms |
10588 KB |
Output is correct |
49 |
Correct |
2 ms |
10588 KB |
Output is correct |
50 |
Correct |
2 ms |
10588 KB |
Output is correct |
51 |
Correct |
3 ms |
10588 KB |
Output is correct |
52 |
Correct |
2 ms |
10588 KB |
Output is correct |
53 |
Correct |
2 ms |
10588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
6492 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
0 ms |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
6492 KB |
Output is correct |
22 |
Correct |
1 ms |
6644 KB |
Output is correct |
23 |
Correct |
1 ms |
6492 KB |
Output is correct |
24 |
Correct |
1 ms |
6492 KB |
Output is correct |
25 |
Correct |
1 ms |
6488 KB |
Output is correct |
26 |
Correct |
1 ms |
6488 KB |
Output is correct |
27 |
Correct |
1 ms |
6492 KB |
Output is correct |
28 |
Correct |
1 ms |
6492 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
6492 KB |
Output is correct |
32 |
Correct |
1 ms |
6492 KB |
Output is correct |
33 |
Correct |
1 ms |
6488 KB |
Output is correct |
34 |
Correct |
0 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2392 KB |
Output is correct |
36 |
Correct |
0 ms |
2396 KB |
Output is correct |
37 |
Correct |
1 ms |
4444 KB |
Output is correct |
38 |
Correct |
1 ms |
4444 KB |
Output is correct |
39 |
Correct |
1 ms |
6492 KB |
Output is correct |
40 |
Correct |
1 ms |
6492 KB |
Output is correct |
41 |
Correct |
2 ms |
10588 KB |
Output is correct |
42 |
Correct |
2 ms |
10584 KB |
Output is correct |
43 |
Correct |
2 ms |
10588 KB |
Output is correct |
44 |
Correct |
2 ms |
10588 KB |
Output is correct |
45 |
Correct |
2 ms |
10588 KB |
Output is correct |
46 |
Correct |
3 ms |
10584 KB |
Output is correct |
47 |
Correct |
3 ms |
10588 KB |
Output is correct |
48 |
Correct |
2 ms |
10588 KB |
Output is correct |
49 |
Correct |
2 ms |
10588 KB |
Output is correct |
50 |
Correct |
2 ms |
10588 KB |
Output is correct |
51 |
Correct |
3 ms |
10588 KB |
Output is correct |
52 |
Correct |
2 ms |
10588 KB |
Output is correct |
53 |
Correct |
2 ms |
10588 KB |
Output is correct |
54 |
Correct |
8 ms |
22876 KB |
Output is correct |
55 |
Correct |
34 ms |
43604 KB |
Output is correct |
56 |
Correct |
35 ms |
43612 KB |
Output is correct |
57 |
Correct |
38 ms |
43568 KB |
Output is correct |
58 |
Correct |
33 ms |
43604 KB |
Output is correct |
59 |
Correct |
32 ms |
43612 KB |
Output is correct |
60 |
Correct |
33 ms |
43588 KB |
Output is correct |
61 |
Correct |
40 ms |
43600 KB |
Output is correct |
62 |
Correct |
42 ms |
43632 KB |
Output is correct |
63 |
Correct |
37 ms |
43600 KB |
Output is correct |
64 |
Correct |
38 ms |
43592 KB |
Output is correct |
65 |
Correct |
50 ms |
43600 KB |
Output is correct |
66 |
Correct |
45 ms |
43600 KB |
Output is correct |
67 |
Correct |
33 ms |
43608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
162 ms |
76460 KB |
Output is correct |
14 |
Correct |
200 ms |
80800 KB |
Output is correct |
15 |
Correct |
253 ms |
88900 KB |
Output is correct |
16 |
Correct |
313 ms |
94940 KB |
Output is correct |
17 |
Correct |
347 ms |
97256 KB |
Output is correct |
18 |
Correct |
359 ms |
97476 KB |
Output is correct |
19 |
Correct |
354 ms |
97480 KB |
Output is correct |
20 |
Correct |
1 ms |
2648 KB |
Output is correct |
21 |
Correct |
0 ms |
2396 KB |
Output is correct |
22 |
Correct |
0 ms |
2396 KB |
Output is correct |
23 |
Correct |
0 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
6492 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
1 ms |
6492 KB |
Output is correct |
30 |
Correct |
1 ms |
6492 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
1 ms |
6492 KB |
Output is correct |
33 |
Correct |
1 ms |
4444 KB |
Output is correct |
34 |
Correct |
0 ms |
2396 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
4444 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1 ms |
6492 KB |
Output is correct |
39 |
Correct |
1 ms |
6644 KB |
Output is correct |
40 |
Correct |
1 ms |
6492 KB |
Output is correct |
41 |
Correct |
1 ms |
6492 KB |
Output is correct |
42 |
Correct |
1 ms |
6488 KB |
Output is correct |
43 |
Correct |
1 ms |
6488 KB |
Output is correct |
44 |
Correct |
1 ms |
6492 KB |
Output is correct |
45 |
Correct |
1 ms |
6492 KB |
Output is correct |
46 |
Correct |
1 ms |
6492 KB |
Output is correct |
47 |
Correct |
1 ms |
6492 KB |
Output is correct |
48 |
Correct |
1 ms |
6492 KB |
Output is correct |
49 |
Correct |
1 ms |
6492 KB |
Output is correct |
50 |
Correct |
1 ms |
6488 KB |
Output is correct |
51 |
Correct |
0 ms |
2396 KB |
Output is correct |
52 |
Correct |
1 ms |
2392 KB |
Output is correct |
53 |
Correct |
0 ms |
2396 KB |
Output is correct |
54 |
Correct |
1 ms |
4444 KB |
Output is correct |
55 |
Correct |
1 ms |
4444 KB |
Output is correct |
56 |
Correct |
1 ms |
6492 KB |
Output is correct |
57 |
Correct |
1 ms |
6492 KB |
Output is correct |
58 |
Correct |
2 ms |
10588 KB |
Output is correct |
59 |
Correct |
2 ms |
10584 KB |
Output is correct |
60 |
Correct |
2 ms |
10588 KB |
Output is correct |
61 |
Correct |
2 ms |
10588 KB |
Output is correct |
62 |
Correct |
2 ms |
10588 KB |
Output is correct |
63 |
Correct |
3 ms |
10584 KB |
Output is correct |
64 |
Correct |
3 ms |
10588 KB |
Output is correct |
65 |
Correct |
2 ms |
10588 KB |
Output is correct |
66 |
Correct |
2 ms |
10588 KB |
Output is correct |
67 |
Correct |
2 ms |
10588 KB |
Output is correct |
68 |
Correct |
3 ms |
10588 KB |
Output is correct |
69 |
Correct |
2 ms |
10588 KB |
Output is correct |
70 |
Correct |
2 ms |
10588 KB |
Output is correct |
71 |
Correct |
8 ms |
22876 KB |
Output is correct |
72 |
Correct |
34 ms |
43604 KB |
Output is correct |
73 |
Correct |
35 ms |
43612 KB |
Output is correct |
74 |
Correct |
38 ms |
43568 KB |
Output is correct |
75 |
Correct |
33 ms |
43604 KB |
Output is correct |
76 |
Correct |
32 ms |
43612 KB |
Output is correct |
77 |
Correct |
33 ms |
43588 KB |
Output is correct |
78 |
Correct |
40 ms |
43600 KB |
Output is correct |
79 |
Correct |
42 ms |
43632 KB |
Output is correct |
80 |
Correct |
37 ms |
43600 KB |
Output is correct |
81 |
Correct |
38 ms |
43592 KB |
Output is correct |
82 |
Correct |
50 ms |
43600 KB |
Output is correct |
83 |
Correct |
45 ms |
43600 KB |
Output is correct |
84 |
Correct |
33 ms |
43608 KB |
Output is correct |
85 |
Correct |
88 ms |
66228 KB |
Output is correct |
86 |
Correct |
236 ms |
97240 KB |
Output is correct |
87 |
Correct |
224 ms |
97224 KB |
Output is correct |
88 |
Correct |
214 ms |
97224 KB |
Output is correct |
89 |
Correct |
219 ms |
97240 KB |
Output is correct |
90 |
Correct |
214 ms |
97420 KB |
Output is correct |
91 |
Correct |
339 ms |
97480 KB |
Output is correct |
92 |
Correct |
401 ms |
97364 KB |
Output is correct |
93 |
Correct |
243 ms |
97288 KB |
Output is correct |
94 |
Correct |
254 ms |
97240 KB |
Output is correct |
95 |
Correct |
364 ms |
97360 KB |
Output is correct |
96 |
Correct |
357 ms |
97364 KB |
Output is correct |
97 |
Correct |
211 ms |
97508 KB |
Output is correct |