#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
#define cerr if(false)cerr
const ll MAX_N = 2510;
ll n, a, b, c;
string str;
ll dp[MAX_N][MAX_N];
const ll mod1 = 1e9 + 7, mod2 = 2e9 + 9;
const ll base1 = 37, base2 = 127;
ll state[MAX_N];
int par[MAX_N];
template<class T, class T2> bool chkmin(T &a, const T2 &b) { return a > b ? a = b, 1 : 0; }
signed main() {
cin >> n >> str >> a >> b >> c;
for(ll i = 0; i < n; i ++) {
for(ll j = 0; j < n; j ++) {
dp[i][j] = (j - i + 1ll) * a;
}
}
for(ll len = 1; len <= n; len ++) {
ll hsh1 = 0, hsh2 = 0;
ll pw1 = 1, pw2 = 1;
for(ll i = 0; i < len; i ++) {
ll now = str[i] - 'a' + 1;
hsh1 = (hsh1 * base1 + now) % mod1;
hsh2 = (hsh2 * base2 + now) % mod2;
if(i != 0) {
pw1 = (pw1 * base1) % mod1;
pw2 = (pw2 * base2) % mod2;
}
}
state[0] = hsh1 + hsh2 * mod1;
for(ll i = 1; i + len - 1 < n; i ++) {
ll now = str[i + len - 1] - 'a' + 1;
hsh1 = (
(hsh1 - pw1 * (ll)(str[i - 1] - 'a' + 1ll))
% mod1 * base1 % mod1 + mod1 + now
) % mod1;
hsh2 = (
(hsh2 - pw2 * (ll)(str[i - 1] - 'a' + 1ll))
% mod2 * base2 % mod2 + mod2 + now
) % mod2;
state[i] = hsh1 + hsh2 * mod1;
}
map<ll, ll> mp;
for(ll i = 0; i + len - 1 < n; i ++) {
chkmin(dp[i][i + len - 1], dp[i + 1][i + len - 1] + a);
chkmin(dp[i][i + len - 1], dp[i][i + len - 2] + a);
if(i - len >= 0) {
mp[state[i - len]] = i - len;
}
if(mp.find(state[i]) != mp.end()) {
par[i] = mp[state[i]];
} else {
par[i] = -1;
}
int curr = par[i], cnt = 2;
while(curr != -1) {
int r = i + len - 1;
dp[curr][r] = min(dp[curr][r], dp[i][i + len - 1] + (r - curr + 1 - cnt * len) * a + b + cnt * c);
curr = par[curr];
cnt ++;
}
}
}
cout << dp[0][n - 1] << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
304 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 |
312 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
176 ms |
33780 KB |
Output is correct |
4 |
Correct |
237 ms |
38740 KB |
Output is correct |
5 |
Correct |
212 ms |
42332 KB |
Output is correct |
6 |
Correct |
322 ms |
45732 KB |
Output is correct |
7 |
Correct |
372 ms |
49440 KB |
Output is correct |
8 |
Correct |
385 ms |
49436 KB |
Output is correct |
9 |
Correct |
383 ms |
49444 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
296 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
432 KB |
Output is correct |
17 |
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 |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
304 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 |
312 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
308 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
436 KB |
Output is correct |
23 |
Correct |
1 ms |
340 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 |
436 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 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 |
436 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
304 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
304 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 |
312 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
308 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
436 KB |
Output is correct |
23 |
Correct |
1 ms |
340 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 |
436 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 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 |
436 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
304 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
2 ms |
692 KB |
Output is correct |
41 |
Correct |
2 ms |
1328 KB |
Output is correct |
42 |
Correct |
3 ms |
1332 KB |
Output is correct |
43 |
Correct |
3 ms |
1364 KB |
Output is correct |
44 |
Correct |
3 ms |
1364 KB |
Output is correct |
45 |
Correct |
3 ms |
1364 KB |
Output is correct |
46 |
Correct |
2 ms |
1364 KB |
Output is correct |
47 |
Correct |
2 ms |
1364 KB |
Output is correct |
48 |
Correct |
3 ms |
1364 KB |
Output is correct |
49 |
Correct |
2 ms |
1332 KB |
Output is correct |
50 |
Correct |
2 ms |
1364 KB |
Output is correct |
51 |
Correct |
2 ms |
1364 KB |
Output is correct |
52 |
Correct |
3 ms |
1364 KB |
Output is correct |
53 |
Correct |
3 ms |
1332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
304 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 |
312 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
308 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
436 KB |
Output is correct |
23 |
Correct |
1 ms |
340 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 |
436 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 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 |
436 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
304 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
2 ms |
692 KB |
Output is correct |
41 |
Correct |
2 ms |
1328 KB |
Output is correct |
42 |
Correct |
3 ms |
1332 KB |
Output is correct |
43 |
Correct |
3 ms |
1364 KB |
Output is correct |
44 |
Correct |
3 ms |
1364 KB |
Output is correct |
45 |
Correct |
3 ms |
1364 KB |
Output is correct |
46 |
Correct |
2 ms |
1364 KB |
Output is correct |
47 |
Correct |
2 ms |
1364 KB |
Output is correct |
48 |
Correct |
3 ms |
1364 KB |
Output is correct |
49 |
Correct |
2 ms |
1332 KB |
Output is correct |
50 |
Correct |
2 ms |
1364 KB |
Output is correct |
51 |
Correct |
2 ms |
1364 KB |
Output is correct |
52 |
Correct |
3 ms |
1364 KB |
Output is correct |
53 |
Correct |
3 ms |
1332 KB |
Output is correct |
54 |
Correct |
11 ms |
3712 KB |
Output is correct |
55 |
Correct |
27 ms |
12164 KB |
Output is correct |
56 |
Correct |
56 ms |
12164 KB |
Output is correct |
57 |
Correct |
54 ms |
12116 KB |
Output is correct |
58 |
Correct |
52 ms |
12244 KB |
Output is correct |
59 |
Correct |
53 ms |
12116 KB |
Output is correct |
60 |
Correct |
53 ms |
12116 KB |
Output is correct |
61 |
Correct |
52 ms |
12156 KB |
Output is correct |
62 |
Correct |
26 ms |
12116 KB |
Output is correct |
63 |
Correct |
57 ms |
12180 KB |
Output is correct |
64 |
Correct |
50 ms |
12116 KB |
Output is correct |
65 |
Correct |
49 ms |
12164 KB |
Output is correct |
66 |
Correct |
53 ms |
12168 KB |
Output is correct |
67 |
Correct |
52 ms |
12208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
304 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 |
312 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
316 KB |
Output is correct |
13 |
Correct |
176 ms |
33780 KB |
Output is correct |
14 |
Correct |
237 ms |
38740 KB |
Output is correct |
15 |
Correct |
212 ms |
42332 KB |
Output is correct |
16 |
Correct |
322 ms |
45732 KB |
Output is correct |
17 |
Correct |
372 ms |
49440 KB |
Output is correct |
18 |
Correct |
385 ms |
49436 KB |
Output is correct |
19 |
Correct |
383 ms |
49444 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
296 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
432 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
0 ms |
340 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 |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
308 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
340 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
436 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
436 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
1 ms |
340 KB |
Output is correct |
49 |
Correct |
1 ms |
340 KB |
Output is correct |
50 |
Correct |
1 ms |
436 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
304 KB |
Output is correct |
54 |
Correct |
1 ms |
340 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
2 ms |
692 KB |
Output is correct |
58 |
Correct |
2 ms |
1328 KB |
Output is correct |
59 |
Correct |
3 ms |
1332 KB |
Output is correct |
60 |
Correct |
3 ms |
1364 KB |
Output is correct |
61 |
Correct |
3 ms |
1364 KB |
Output is correct |
62 |
Correct |
3 ms |
1364 KB |
Output is correct |
63 |
Correct |
2 ms |
1364 KB |
Output is correct |
64 |
Correct |
2 ms |
1364 KB |
Output is correct |
65 |
Correct |
3 ms |
1364 KB |
Output is correct |
66 |
Correct |
2 ms |
1332 KB |
Output is correct |
67 |
Correct |
2 ms |
1364 KB |
Output is correct |
68 |
Correct |
2 ms |
1364 KB |
Output is correct |
69 |
Correct |
3 ms |
1364 KB |
Output is correct |
70 |
Correct |
3 ms |
1332 KB |
Output is correct |
71 |
Correct |
11 ms |
3712 KB |
Output is correct |
72 |
Correct |
27 ms |
12164 KB |
Output is correct |
73 |
Correct |
56 ms |
12164 KB |
Output is correct |
74 |
Correct |
54 ms |
12116 KB |
Output is correct |
75 |
Correct |
52 ms |
12244 KB |
Output is correct |
76 |
Correct |
53 ms |
12116 KB |
Output is correct |
77 |
Correct |
53 ms |
12116 KB |
Output is correct |
78 |
Correct |
52 ms |
12156 KB |
Output is correct |
79 |
Correct |
26 ms |
12116 KB |
Output is correct |
80 |
Correct |
57 ms |
12180 KB |
Output is correct |
81 |
Correct |
50 ms |
12116 KB |
Output is correct |
82 |
Correct |
49 ms |
12164 KB |
Output is correct |
83 |
Correct |
53 ms |
12168 KB |
Output is correct |
84 |
Correct |
52 ms |
12208 KB |
Output is correct |
85 |
Correct |
146 ms |
26308 KB |
Output is correct |
86 |
Correct |
412 ms |
49592 KB |
Output is correct |
87 |
Correct |
365 ms |
49576 KB |
Output is correct |
88 |
Correct |
345 ms |
49588 KB |
Output is correct |
89 |
Correct |
359 ms |
49584 KB |
Output is correct |
90 |
Correct |
341 ms |
49592 KB |
Output is correct |
91 |
Correct |
226 ms |
49364 KB |
Output is correct |
92 |
Correct |
293 ms |
49440 KB |
Output is correct |
93 |
Correct |
358 ms |
49488 KB |
Output is correct |
94 |
Correct |
345 ms |
49468 KB |
Output is correct |
95 |
Correct |
388 ms |
49440 KB |
Output is correct |
96 |
Correct |
397 ms |
49484 KB |
Output is correct |
97 |
Correct |
345 ms |
49596 KB |
Output is correct |