#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pb push_back
#define pll pair <ll,ll>
#define mp make_pair
#define f first
#define s second
#define all(v) v.begin(),v.end()
void boos() {
ios_base :: sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
}
const int N = 3e3 + 1;
const ll p = 433,p1 = 383;
const ll INF = (ll)1e9 + 7ll;
ll binpow(ll a,ll b) {
ll ans = 1,k = a;
while(b) {
if(b % 2)ans *= k;
ans %= INF;
k *= k;
k %= INF;
b /= 2ll;
}
return ans;
}
ll has[N],has1[N],st[N],st1[N];
ll dp[N][N];
ll cc[N][N];
pll calc(int l,int r) {
ll tek = (has[r] - has[l - 1] + INF) % INF;
tek = (tek * st[l]) % INF;
ll tek1 = (has1[r] - has1[l - 1] + INF) % INF;
tek1 = (tek1 * st1[l]) % INF;
return mp(tek,tek1);
}
void solve() {
int n;
cin >> n;
string s;
cin >> s;
ll a,b,c;
cin >> a >> b >> c;
s = "0" + s;
ll tek = p,tek1 = p1;
st[1] = binpow(tek,INF - 2);
st1[1] = binpow(tek1,INF - 2);
has[1] = (s[1] - 'a' + 1ll);
has1[1] = has[1];
for(int i = 2;i <= n;i++) {
ll val = (s[i] - 'a' + 1ll);
has[i] = (has[i - 1] + (tek * val) % INF) % INF;
has1[i] = (has1[i - 1] + (tek1 * val) % INF) % INF;
tek = (tek * p) % INF;
tek1 = (tek1 * p1) % INF;
st[i] = binpow(tek,INF - 2);
st1[i] = binpow(tek1,INF - 2);
}
for(int i = 1;i <= n;i++)dp[i][i] = a;
// for(int sz = 2;sz <= n;sz++) {
// for(int l = 1;l <= n - sz + 1;l++) {
// int r = l + sz - 1;
// dp[l][r] = dp[l][r - 1] + a;
// for(int sz1 = 1;sz1 * 2 <= sz;sz1++) {
// for(int h = l;h <= r;h++)cc[h] = 1;
// for(int h = r - 2 * sz1 + 1;h >= l;h--) {
// cc[h] = max(cc[h],cc[h + 1]);
// if(calc(h,h + sz1 - 1) == calc(r - sz1 + 1,r)) {
// //cout << h << " " << h + sz1 - 1 << " === " << r - sz1 + 1 << " " << r << endl;
// cc[h] = max(cc[h],cc[h + sz1] + 1);
// }
// dp[l][r] = min(dp[l][r],cc[h] * c + b + a * (ll)(sz - cc[h] * sz1) + dp[r - sz1 + 1][r]);
// }
// }
// }
// }
for(int r = 2;r <= n;r++) {
for(int l = r - 1;l >= 1;l--) {
dp[l][r] = dp[l][r - 1] + a;
dp[l][r] = min(dp[l][r],dp[l + 1][r] + a);
int sz = r -l + 1;
for(int sz1 = 1;sz1 * 2 <= sz;sz1++) {
cc[l][sz1] = cc[l + 1][sz1];
if(calc(l,l + sz1 - 1) == calc(r - sz1 + 1,r)) {
if(cc[l + sz1][sz1] == 0)cc[l][sz1] = max(cc[l][sz1],2ll);
else cc[l][sz1] = max(cc[l][sz1],cc[l + sz1][sz1] + 1);
}
dp[l][r] = min(dp[l][r],cc[l][sz1] * c + b + a * (ll)(sz - cc[l][sz1] * sz1) + dp[r - sz1 + 1][r]);
}
}
}
cout << dp[1][n];
}
int main() {
boos();
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
328 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Execution timed out |
3063 ms |
21988 KB |
Time limit exceeded |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
328 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
596 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
0 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
328 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
328 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
596 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
0 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
328 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
584 KB |
Output is correct |
40 |
Correct |
2 ms |
980 KB |
Output is correct |
41 |
Correct |
14 ms |
2136 KB |
Output is correct |
42 |
Correct |
13 ms |
2136 KB |
Output is correct |
43 |
Correct |
13 ms |
2132 KB |
Output is correct |
44 |
Correct |
12 ms |
2132 KB |
Output is correct |
45 |
Correct |
13 ms |
2196 KB |
Output is correct |
46 |
Correct |
16 ms |
2132 KB |
Output is correct |
47 |
Correct |
15 ms |
2132 KB |
Output is correct |
48 |
Correct |
12 ms |
2132 KB |
Output is correct |
49 |
Correct |
12 ms |
2132 KB |
Output is correct |
50 |
Correct |
12 ms |
2132 KB |
Output is correct |
51 |
Correct |
13 ms |
2116 KB |
Output is correct |
52 |
Correct |
15 ms |
2176 KB |
Output is correct |
53 |
Correct |
12 ms |
2092 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
328 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
596 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
596 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
0 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
328 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
584 KB |
Output is correct |
40 |
Correct |
2 ms |
980 KB |
Output is correct |
41 |
Correct |
14 ms |
2136 KB |
Output is correct |
42 |
Correct |
13 ms |
2136 KB |
Output is correct |
43 |
Correct |
13 ms |
2132 KB |
Output is correct |
44 |
Correct |
12 ms |
2132 KB |
Output is correct |
45 |
Correct |
13 ms |
2196 KB |
Output is correct |
46 |
Correct |
16 ms |
2132 KB |
Output is correct |
47 |
Correct |
15 ms |
2132 KB |
Output is correct |
48 |
Correct |
12 ms |
2132 KB |
Output is correct |
49 |
Correct |
12 ms |
2132 KB |
Output is correct |
50 |
Correct |
12 ms |
2132 KB |
Output is correct |
51 |
Correct |
13 ms |
2116 KB |
Output is correct |
52 |
Correct |
15 ms |
2176 KB |
Output is correct |
53 |
Correct |
12 ms |
2092 KB |
Output is correct |
54 |
Correct |
131 ms |
5028 KB |
Output is correct |
55 |
Correct |
1549 ms |
14268 KB |
Output is correct |
56 |
Correct |
1390 ms |
14276 KB |
Output is correct |
57 |
Correct |
1394 ms |
14268 KB |
Output is correct |
58 |
Correct |
1379 ms |
14296 KB |
Output is correct |
59 |
Correct |
1402 ms |
14456 KB |
Output is correct |
60 |
Correct |
1417 ms |
14296 KB |
Output is correct |
61 |
Correct |
1419 ms |
14368 KB |
Output is correct |
62 |
Correct |
1498 ms |
14264 KB |
Output is correct |
63 |
Correct |
1450 ms |
14308 KB |
Output is correct |
64 |
Correct |
1430 ms |
14372 KB |
Output is correct |
65 |
Correct |
1411 ms |
14200 KB |
Output is correct |
66 |
Correct |
1425 ms |
14264 KB |
Output is correct |
67 |
Correct |
1449 ms |
14376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
328 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Execution timed out |
3063 ms |
21988 KB |
Time limit exceeded |
14 |
Halted |
0 ms |
0 KB |
- |