#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define ll long long
ll mod=1000000007;
int inf=1000000007;
ll infl=1000000000000000007;
const int N=2507;
ll DP[N][N];
int id[N][N];
int it;
set<int>V[N*N];
bool was[N*N];
int n;
string s;
void rek(vector<int>v,int l)
{
vector<int>nx[26];
if(l>0)
{
it++;
V[it].insert(inf);
for(auto x:v)
{
id[x][x+l-1]=it;
V[it].insert(x);
}
}
for(auto x:v)
{
if(x+l>n) continue;
nx[s[x+l]-'a'].pb(x);
}
for(int i=0;i<26;i++) if(sz(nx[i])>0) rek(nx[i],l+1);
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
ll A,B,C;
cin>>n>>s>>A>>B>>C;
s='#'+s;
for(int i=0;i<=n+1;i++) for(int j=0;j<=n+1;j++) DP[i][j]=infl;
for(int i=1;i<=n;i++) DP[i][i]=A;
vector<int>v(n);
for(int i=0;i<n;i++) v[i]=i+1;
rek(v,0);
for(int d=1;d<=n;d++)
{
for(int l=1;l+d-1<=n;l++)
{
int r=l+d-1;
DP[l][r]=min({DP[l][r],DP[l+1][r]+A,DP[l][r-1]+A});
int x=id[l][r];
if(was[x]) continue;
was[x]=1;
while(sz(V[x])>1)
{
vector<int>P;
int c=-inf;
while(true)
{
set<int>::iterator I=V[x].upper_bound(c);
if(*I==inf) break;
P.pb(*I);
c=*I+d-1;
V[x].erase(I);
}
for(int i=0;i<sz(P);i++)
{
for(int j=i;j<sz(P);j++)
{
ll cost=B+(ll)(j-i+1)*C+(ll)(P[j]+d-P[i]-(j-i+1)*d)*A;
DP[P[i]][P[j]+d-1]=min(DP[P[i]][P[j]+d-1],DP[l][r]+cost);
}
}
}
}
}
cout<<DP[1][n];
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
126 ms |
295456 KB |
Output is correct |
2 |
Correct |
127 ms |
295524 KB |
Output is correct |
3 |
Correct |
127 ms |
295480 KB |
Output is correct |
4 |
Correct |
133 ms |
295544 KB |
Output is correct |
5 |
Correct |
127 ms |
295640 KB |
Output is correct |
6 |
Correct |
129 ms |
295468 KB |
Output is correct |
7 |
Correct |
127 ms |
295504 KB |
Output is correct |
8 |
Correct |
125 ms |
295492 KB |
Output is correct |
9 |
Correct |
127 ms |
295500 KB |
Output is correct |
10 |
Correct |
125 ms |
295444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
129 ms |
295608 KB |
Output is correct |
2 |
Correct |
124 ms |
295476 KB |
Output is correct |
3 |
Correct |
605 ms |
438460 KB |
Output is correct |
4 |
Correct |
716 ms |
460672 KB |
Output is correct |
5 |
Correct |
795 ms |
484368 KB |
Output is correct |
6 |
Correct |
1024 ms |
511392 KB |
Output is correct |
7 |
Correct |
1172 ms |
542724 KB |
Output is correct |
8 |
Correct |
1163 ms |
542752 KB |
Output is correct |
9 |
Correct |
1077 ms |
542768 KB |
Output is correct |
10 |
Correct |
127 ms |
295524 KB |
Output is correct |
11 |
Correct |
129 ms |
295444 KB |
Output is correct |
12 |
Correct |
124 ms |
295524 KB |
Output is correct |
13 |
Correct |
127 ms |
295500 KB |
Output is correct |
14 |
Correct |
132 ms |
295636 KB |
Output is correct |
15 |
Correct |
128 ms |
295572 KB |
Output is correct |
16 |
Correct |
127 ms |
295816 KB |
Output is correct |
17 |
Correct |
127 ms |
295564 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
126 ms |
295456 KB |
Output is correct |
2 |
Correct |
127 ms |
295524 KB |
Output is correct |
3 |
Correct |
127 ms |
295480 KB |
Output is correct |
4 |
Correct |
133 ms |
295544 KB |
Output is correct |
5 |
Correct |
127 ms |
295640 KB |
Output is correct |
6 |
Correct |
129 ms |
295468 KB |
Output is correct |
7 |
Correct |
127 ms |
295504 KB |
Output is correct |
8 |
Correct |
125 ms |
295492 KB |
Output is correct |
9 |
Correct |
127 ms |
295500 KB |
Output is correct |
10 |
Correct |
125 ms |
295444 KB |
Output is correct |
11 |
Correct |
127 ms |
295664 KB |
Output is correct |
12 |
Correct |
131 ms |
295664 KB |
Output is correct |
13 |
Correct |
124 ms |
295640 KB |
Output is correct |
14 |
Correct |
125 ms |
295596 KB |
Output is correct |
15 |
Correct |
133 ms |
295688 KB |
Output is correct |
16 |
Correct |
127 ms |
295628 KB |
Output is correct |
17 |
Correct |
129 ms |
295540 KB |
Output is correct |
18 |
Correct |
150 ms |
295428 KB |
Output is correct |
19 |
Correct |
131 ms |
295596 KB |
Output is correct |
20 |
Correct |
128 ms |
295556 KB |
Output is correct |
21 |
Correct |
130 ms |
295808 KB |
Output is correct |
22 |
Correct |
130 ms |
295772 KB |
Output is correct |
23 |
Correct |
128 ms |
295840 KB |
Output is correct |
24 |
Correct |
128 ms |
295808 KB |
Output is correct |
25 |
Correct |
131 ms |
295760 KB |
Output is correct |
26 |
Correct |
132 ms |
295764 KB |
Output is correct |
27 |
Correct |
127 ms |
295756 KB |
Output is correct |
28 |
Correct |
131 ms |
295824 KB |
Output is correct |
29 |
Correct |
124 ms |
295752 KB |
Output is correct |
30 |
Correct |
126 ms |
295780 KB |
Output is correct |
31 |
Correct |
127 ms |
295756 KB |
Output is correct |
32 |
Correct |
124 ms |
295768 KB |
Output is correct |
33 |
Correct |
129 ms |
295904 KB |
Output is correct |
34 |
Correct |
125 ms |
295452 KB |
Output is correct |
35 |
Correct |
126 ms |
295404 KB |
Output is correct |
36 |
Correct |
134 ms |
295556 KB |
Output is correct |
37 |
Correct |
129 ms |
295516 KB |
Output is correct |
38 |
Correct |
128 ms |
295628 KB |
Output is correct |
39 |
Correct |
123 ms |
295820 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
126 ms |
295456 KB |
Output is correct |
2 |
Correct |
127 ms |
295524 KB |
Output is correct |
3 |
Correct |
127 ms |
295480 KB |
Output is correct |
4 |
Correct |
133 ms |
295544 KB |
Output is correct |
5 |
Correct |
127 ms |
295640 KB |
Output is correct |
6 |
Correct |
129 ms |
295468 KB |
Output is correct |
7 |
Correct |
127 ms |
295504 KB |
Output is correct |
8 |
Correct |
125 ms |
295492 KB |
Output is correct |
9 |
Correct |
127 ms |
295500 KB |
Output is correct |
10 |
Correct |
125 ms |
295444 KB |
Output is correct |
11 |
Correct |
127 ms |
295664 KB |
Output is correct |
12 |
Correct |
131 ms |
295664 KB |
Output is correct |
13 |
Correct |
124 ms |
295640 KB |
Output is correct |
14 |
Correct |
125 ms |
295596 KB |
Output is correct |
15 |
Correct |
133 ms |
295688 KB |
Output is correct |
16 |
Correct |
127 ms |
295628 KB |
Output is correct |
17 |
Correct |
129 ms |
295540 KB |
Output is correct |
18 |
Correct |
150 ms |
295428 KB |
Output is correct |
19 |
Correct |
131 ms |
295596 KB |
Output is correct |
20 |
Correct |
128 ms |
295556 KB |
Output is correct |
21 |
Correct |
130 ms |
295808 KB |
Output is correct |
22 |
Correct |
130 ms |
295772 KB |
Output is correct |
23 |
Correct |
128 ms |
295840 KB |
Output is correct |
24 |
Correct |
128 ms |
295808 KB |
Output is correct |
25 |
Correct |
131 ms |
295760 KB |
Output is correct |
26 |
Correct |
132 ms |
295764 KB |
Output is correct |
27 |
Correct |
127 ms |
295756 KB |
Output is correct |
28 |
Correct |
131 ms |
295824 KB |
Output is correct |
29 |
Correct |
124 ms |
295752 KB |
Output is correct |
30 |
Correct |
126 ms |
295780 KB |
Output is correct |
31 |
Correct |
127 ms |
295756 KB |
Output is correct |
32 |
Correct |
124 ms |
295768 KB |
Output is correct |
33 |
Correct |
129 ms |
295904 KB |
Output is correct |
34 |
Correct |
125 ms |
295452 KB |
Output is correct |
35 |
Correct |
126 ms |
295404 KB |
Output is correct |
36 |
Correct |
134 ms |
295556 KB |
Output is correct |
37 |
Correct |
129 ms |
295516 KB |
Output is correct |
38 |
Correct |
128 ms |
295628 KB |
Output is correct |
39 |
Correct |
123 ms |
295820 KB |
Output is correct |
40 |
Correct |
126 ms |
296588 KB |
Output is correct |
41 |
Correct |
132 ms |
298896 KB |
Output is correct |
42 |
Correct |
134 ms |
299568 KB |
Output is correct |
43 |
Correct |
132 ms |
299576 KB |
Output is correct |
44 |
Correct |
131 ms |
299596 KB |
Output is correct |
45 |
Correct |
134 ms |
299608 KB |
Output is correct |
46 |
Correct |
136 ms |
299596 KB |
Output is correct |
47 |
Correct |
134 ms |
298880 KB |
Output is correct |
48 |
Correct |
138 ms |
299164 KB |
Output is correct |
49 |
Correct |
135 ms |
299352 KB |
Output is correct |
50 |
Correct |
133 ms |
299248 KB |
Output is correct |
51 |
Correct |
129 ms |
299084 KB |
Output is correct |
52 |
Correct |
132 ms |
299108 KB |
Output is correct |
53 |
Correct |
131 ms |
299572 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
126 ms |
295456 KB |
Output is correct |
2 |
Correct |
127 ms |
295524 KB |
Output is correct |
3 |
Correct |
127 ms |
295480 KB |
Output is correct |
4 |
Correct |
133 ms |
295544 KB |
Output is correct |
5 |
Correct |
127 ms |
295640 KB |
Output is correct |
6 |
Correct |
129 ms |
295468 KB |
Output is correct |
7 |
Correct |
127 ms |
295504 KB |
Output is correct |
8 |
Correct |
125 ms |
295492 KB |
Output is correct |
9 |
Correct |
127 ms |
295500 KB |
Output is correct |
10 |
Correct |
125 ms |
295444 KB |
Output is correct |
11 |
Correct |
127 ms |
295664 KB |
Output is correct |
12 |
Correct |
131 ms |
295664 KB |
Output is correct |
13 |
Correct |
124 ms |
295640 KB |
Output is correct |
14 |
Correct |
125 ms |
295596 KB |
Output is correct |
15 |
Correct |
133 ms |
295688 KB |
Output is correct |
16 |
Correct |
127 ms |
295628 KB |
Output is correct |
17 |
Correct |
129 ms |
295540 KB |
Output is correct |
18 |
Correct |
150 ms |
295428 KB |
Output is correct |
19 |
Correct |
131 ms |
295596 KB |
Output is correct |
20 |
Correct |
128 ms |
295556 KB |
Output is correct |
21 |
Correct |
130 ms |
295808 KB |
Output is correct |
22 |
Correct |
130 ms |
295772 KB |
Output is correct |
23 |
Correct |
128 ms |
295840 KB |
Output is correct |
24 |
Correct |
128 ms |
295808 KB |
Output is correct |
25 |
Correct |
131 ms |
295760 KB |
Output is correct |
26 |
Correct |
132 ms |
295764 KB |
Output is correct |
27 |
Correct |
127 ms |
295756 KB |
Output is correct |
28 |
Correct |
131 ms |
295824 KB |
Output is correct |
29 |
Correct |
124 ms |
295752 KB |
Output is correct |
30 |
Correct |
126 ms |
295780 KB |
Output is correct |
31 |
Correct |
127 ms |
295756 KB |
Output is correct |
32 |
Correct |
124 ms |
295768 KB |
Output is correct |
33 |
Correct |
129 ms |
295904 KB |
Output is correct |
34 |
Correct |
125 ms |
295452 KB |
Output is correct |
35 |
Correct |
126 ms |
295404 KB |
Output is correct |
36 |
Correct |
134 ms |
295556 KB |
Output is correct |
37 |
Correct |
129 ms |
295516 KB |
Output is correct |
38 |
Correct |
128 ms |
295628 KB |
Output is correct |
39 |
Correct |
123 ms |
295820 KB |
Output is correct |
40 |
Correct |
126 ms |
296588 KB |
Output is correct |
41 |
Correct |
132 ms |
298896 KB |
Output is correct |
42 |
Correct |
134 ms |
299568 KB |
Output is correct |
43 |
Correct |
132 ms |
299576 KB |
Output is correct |
44 |
Correct |
131 ms |
299596 KB |
Output is correct |
45 |
Correct |
134 ms |
299608 KB |
Output is correct |
46 |
Correct |
136 ms |
299596 KB |
Output is correct |
47 |
Correct |
134 ms |
298880 KB |
Output is correct |
48 |
Correct |
138 ms |
299164 KB |
Output is correct |
49 |
Correct |
135 ms |
299352 KB |
Output is correct |
50 |
Correct |
133 ms |
299248 KB |
Output is correct |
51 |
Correct |
129 ms |
299084 KB |
Output is correct |
52 |
Correct |
132 ms |
299108 KB |
Output is correct |
53 |
Correct |
131 ms |
299572 KB |
Output is correct |
54 |
Correct |
177 ms |
310968 KB |
Output is correct |
55 |
Correct |
274 ms |
342208 KB |
Output is correct |
56 |
Correct |
396 ms |
363088 KB |
Output is correct |
57 |
Correct |
385 ms |
363432 KB |
Output is correct |
58 |
Correct |
376 ms |
363468 KB |
Output is correct |
59 |
Correct |
373 ms |
363468 KB |
Output is correct |
60 |
Correct |
368 ms |
363612 KB |
Output is correct |
61 |
Correct |
290 ms |
349516 KB |
Output is correct |
62 |
Correct |
244 ms |
339332 KB |
Output is correct |
63 |
Correct |
334 ms |
357420 KB |
Output is correct |
64 |
Correct |
334 ms |
357036 KB |
Output is correct |
65 |
Correct |
296 ms |
350412 KB |
Output is correct |
66 |
Correct |
295 ms |
350408 KB |
Output is correct |
67 |
Correct |
378 ms |
363468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
126 ms |
295456 KB |
Output is correct |
2 |
Correct |
127 ms |
295524 KB |
Output is correct |
3 |
Correct |
127 ms |
295480 KB |
Output is correct |
4 |
Correct |
133 ms |
295544 KB |
Output is correct |
5 |
Correct |
127 ms |
295640 KB |
Output is correct |
6 |
Correct |
129 ms |
295468 KB |
Output is correct |
7 |
Correct |
127 ms |
295504 KB |
Output is correct |
8 |
Correct |
125 ms |
295492 KB |
Output is correct |
9 |
Correct |
127 ms |
295500 KB |
Output is correct |
10 |
Correct |
125 ms |
295444 KB |
Output is correct |
11 |
Correct |
129 ms |
295608 KB |
Output is correct |
12 |
Correct |
124 ms |
295476 KB |
Output is correct |
13 |
Correct |
605 ms |
438460 KB |
Output is correct |
14 |
Correct |
716 ms |
460672 KB |
Output is correct |
15 |
Correct |
795 ms |
484368 KB |
Output is correct |
16 |
Correct |
1024 ms |
511392 KB |
Output is correct |
17 |
Correct |
1172 ms |
542724 KB |
Output is correct |
18 |
Correct |
1163 ms |
542752 KB |
Output is correct |
19 |
Correct |
1077 ms |
542768 KB |
Output is correct |
20 |
Correct |
127 ms |
295524 KB |
Output is correct |
21 |
Correct |
129 ms |
295444 KB |
Output is correct |
22 |
Correct |
124 ms |
295524 KB |
Output is correct |
23 |
Correct |
127 ms |
295500 KB |
Output is correct |
24 |
Correct |
132 ms |
295636 KB |
Output is correct |
25 |
Correct |
128 ms |
295572 KB |
Output is correct |
26 |
Correct |
127 ms |
295816 KB |
Output is correct |
27 |
Correct |
127 ms |
295564 KB |
Output is correct |
28 |
Correct |
127 ms |
295664 KB |
Output is correct |
29 |
Correct |
131 ms |
295664 KB |
Output is correct |
30 |
Correct |
124 ms |
295640 KB |
Output is correct |
31 |
Correct |
125 ms |
295596 KB |
Output is correct |
32 |
Correct |
133 ms |
295688 KB |
Output is correct |
33 |
Correct |
127 ms |
295628 KB |
Output is correct |
34 |
Correct |
129 ms |
295540 KB |
Output is correct |
35 |
Correct |
150 ms |
295428 KB |
Output is correct |
36 |
Correct |
131 ms |
295596 KB |
Output is correct |
37 |
Correct |
128 ms |
295556 KB |
Output is correct |
38 |
Correct |
130 ms |
295808 KB |
Output is correct |
39 |
Correct |
130 ms |
295772 KB |
Output is correct |
40 |
Correct |
128 ms |
295840 KB |
Output is correct |
41 |
Correct |
128 ms |
295808 KB |
Output is correct |
42 |
Correct |
131 ms |
295760 KB |
Output is correct |
43 |
Correct |
132 ms |
295764 KB |
Output is correct |
44 |
Correct |
127 ms |
295756 KB |
Output is correct |
45 |
Correct |
131 ms |
295824 KB |
Output is correct |
46 |
Correct |
124 ms |
295752 KB |
Output is correct |
47 |
Correct |
126 ms |
295780 KB |
Output is correct |
48 |
Correct |
127 ms |
295756 KB |
Output is correct |
49 |
Correct |
124 ms |
295768 KB |
Output is correct |
50 |
Correct |
129 ms |
295904 KB |
Output is correct |
51 |
Correct |
125 ms |
295452 KB |
Output is correct |
52 |
Correct |
126 ms |
295404 KB |
Output is correct |
53 |
Correct |
134 ms |
295556 KB |
Output is correct |
54 |
Correct |
129 ms |
295516 KB |
Output is correct |
55 |
Correct |
128 ms |
295628 KB |
Output is correct |
56 |
Correct |
123 ms |
295820 KB |
Output is correct |
57 |
Correct |
126 ms |
296588 KB |
Output is correct |
58 |
Correct |
132 ms |
298896 KB |
Output is correct |
59 |
Correct |
134 ms |
299568 KB |
Output is correct |
60 |
Correct |
132 ms |
299576 KB |
Output is correct |
61 |
Correct |
131 ms |
299596 KB |
Output is correct |
62 |
Correct |
134 ms |
299608 KB |
Output is correct |
63 |
Correct |
136 ms |
299596 KB |
Output is correct |
64 |
Correct |
134 ms |
298880 KB |
Output is correct |
65 |
Correct |
138 ms |
299164 KB |
Output is correct |
66 |
Correct |
135 ms |
299352 KB |
Output is correct |
67 |
Correct |
133 ms |
299248 KB |
Output is correct |
68 |
Correct |
129 ms |
299084 KB |
Output is correct |
69 |
Correct |
132 ms |
299108 KB |
Output is correct |
70 |
Correct |
131 ms |
299572 KB |
Output is correct |
71 |
Correct |
177 ms |
310968 KB |
Output is correct |
72 |
Correct |
274 ms |
342208 KB |
Output is correct |
73 |
Correct |
396 ms |
363088 KB |
Output is correct |
74 |
Correct |
385 ms |
363432 KB |
Output is correct |
75 |
Correct |
376 ms |
363468 KB |
Output is correct |
76 |
Correct |
373 ms |
363468 KB |
Output is correct |
77 |
Correct |
368 ms |
363612 KB |
Output is correct |
78 |
Correct |
290 ms |
349516 KB |
Output is correct |
79 |
Correct |
244 ms |
339332 KB |
Output is correct |
80 |
Correct |
334 ms |
357420 KB |
Output is correct |
81 |
Correct |
334 ms |
357036 KB |
Output is correct |
82 |
Correct |
296 ms |
350412 KB |
Output is correct |
83 |
Correct |
295 ms |
350408 KB |
Output is correct |
84 |
Correct |
378 ms |
363468 KB |
Output is correct |
85 |
Correct |
768 ms |
458220 KB |
Output is correct |
86 |
Correct |
1842 ms |
683052 KB |
Output is correct |
87 |
Correct |
1821 ms |
683064 KB |
Output is correct |
88 |
Correct |
1821 ms |
683612 KB |
Output is correct |
89 |
Correct |
1881 ms |
683852 KB |
Output is correct |
90 |
Correct |
1850 ms |
683836 KB |
Output is correct |
91 |
Correct |
850 ms |
523100 KB |
Output is correct |
92 |
Correct |
923 ms |
518024 KB |
Output is correct |
93 |
Correct |
1622 ms |
636572 KB |
Output is correct |
94 |
Correct |
1814 ms |
637532 KB |
Output is correct |
95 |
Correct |
1709 ms |
592020 KB |
Output is correct |
96 |
Correct |
1612 ms |
592036 KB |
Output is correct |
97 |
Correct |
2229 ms |
684156 KB |
Output is correct |