#include<bits/stdc++.h>
using namespace std;
const int nax = 2503;
const long long INF = 1e18;
const int P = 31;
const int M = 1e9 + 11;
int n;
string s;
long long A, B, C;
long long dp[nax][nax];
long long hv[nax];
long long pw[nax];
int nxt[nax];
int get(int l, int r) {
long long ret = hv[r] - hv[l-1];
if(ret<0) ret += M;
ret = (ret * pw[n-r]) % M;
return ret;
}
void PlayGround() {
cin>>n>>s>>A>>B>>C;
s = '@' + s;
pw[0] = 1;
for(int i=1; i<=n; ++i) {
pw[i] = (pw[i-1] * P) % M;
hv[i] = (pw[i] * (s[i]-'a'+1)) + hv[i-1];
hv[i] %= M;
}
for(int i=1; i<=n; ++i) {
for(int j=1; j<=n; ++j) {
dp[i][j] = INF;
}
dp[i][i] = A;
}
for(int un=1; un<=n; ++un) {
memset(nxt, -1, sizeof nxt);
unordered_map<int, vector<int>>app;
for(int i=1; i+un-1<=n; ++i) if(un>1) {
dp[i][i+un-1] = min(dp[i][i+un-1], min(dp[i+1][i+un-1], dp[i][i+un-2]) + A);
}
for(int i=n-un+1; i>0; --i) { // not optimal
int crval = get(i, i+un-1);
app[crval].push_back(i);
if(app[crval][0]<=i+un-1) {
nxt[i] = -1;
continue;
}
int lo = 0, hi = app[crval].size()-1;
while(lo<hi) {
int mid = (lo+hi+1)/2;
if(app[crval][mid]>i+un-1) lo = mid;
else hi = mid-1;
}
nxt[i] = app[crval][lo];
}
for(int i=1; i<=n; ++i) {
for(int j=nxt[i], cnt=2; j!=-1; j=nxt[j], ++cnt) {
dp[i][j+un-1] = min(dp[i][j+un-1],
dp[i][i+un-1]+B+cnt*C + (j+un-1-i+1 - cnt*un) * A);
}
}
}
cout<<dp[1][n]<<'\n';
// cerr << "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
PlayGround();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
295 ms |
33852 KB |
Output is correct |
4 |
Correct |
352 ms |
38892 KB |
Output is correct |
5 |
Correct |
411 ms |
42280 KB |
Output is correct |
6 |
Correct |
470 ms |
45676 KB |
Output is correct |
7 |
Correct |
579 ms |
49364 KB |
Output is correct |
8 |
Correct |
583 ms |
49412 KB |
Output is correct |
9 |
Correct |
555 ms |
49376 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 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 |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
0 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 |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
340 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 |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
0 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 |
340 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
0 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 |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
0 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 |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
340 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 |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
0 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 |
340 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
724 KB |
Output is correct |
41 |
Correct |
3 ms |
1364 KB |
Output is correct |
42 |
Correct |
4 ms |
1364 KB |
Output is correct |
43 |
Correct |
3 ms |
1364 KB |
Output is correct |
44 |
Correct |
5 ms |
1364 KB |
Output is correct |
45 |
Correct |
4 ms |
1364 KB |
Output is correct |
46 |
Correct |
4 ms |
1364 KB |
Output is correct |
47 |
Correct |
4 ms |
1364 KB |
Output is correct |
48 |
Correct |
3 ms |
1364 KB |
Output is correct |
49 |
Correct |
3 ms |
1452 KB |
Output is correct |
50 |
Correct |
4 ms |
1364 KB |
Output is correct |
51 |
Correct |
3 ms |
1364 KB |
Output is correct |
52 |
Correct |
4 ms |
1364 KB |
Output is correct |
53 |
Correct |
4 ms |
1364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
0 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 |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
340 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 |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
0 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 |
340 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
724 KB |
Output is correct |
41 |
Correct |
3 ms |
1364 KB |
Output is correct |
42 |
Correct |
4 ms |
1364 KB |
Output is correct |
43 |
Correct |
3 ms |
1364 KB |
Output is correct |
44 |
Correct |
5 ms |
1364 KB |
Output is correct |
45 |
Correct |
4 ms |
1364 KB |
Output is correct |
46 |
Correct |
4 ms |
1364 KB |
Output is correct |
47 |
Correct |
4 ms |
1364 KB |
Output is correct |
48 |
Correct |
3 ms |
1364 KB |
Output is correct |
49 |
Correct |
3 ms |
1452 KB |
Output is correct |
50 |
Correct |
4 ms |
1364 KB |
Output is correct |
51 |
Correct |
3 ms |
1364 KB |
Output is correct |
52 |
Correct |
4 ms |
1364 KB |
Output is correct |
53 |
Correct |
4 ms |
1364 KB |
Output is correct |
54 |
Correct |
20 ms |
3760 KB |
Output is correct |
55 |
Correct |
77 ms |
12116 KB |
Output is correct |
56 |
Correct |
87 ms |
12300 KB |
Output is correct |
57 |
Correct |
90 ms |
12292 KB |
Output is correct |
58 |
Correct |
90 ms |
12300 KB |
Output is correct |
59 |
Correct |
93 ms |
12244 KB |
Output is correct |
60 |
Correct |
89 ms |
12296 KB |
Output is correct |
61 |
Correct |
72 ms |
12116 KB |
Output is correct |
62 |
Correct |
67 ms |
12204 KB |
Output is correct |
63 |
Correct |
93 ms |
12140 KB |
Output is correct |
64 |
Correct |
87 ms |
12256 KB |
Output is correct |
65 |
Correct |
78 ms |
12244 KB |
Output is correct |
66 |
Correct |
82 ms |
12224 KB |
Output is correct |
67 |
Correct |
88 ms |
12288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
295 ms |
33852 KB |
Output is correct |
14 |
Correct |
352 ms |
38892 KB |
Output is correct |
15 |
Correct |
411 ms |
42280 KB |
Output is correct |
16 |
Correct |
470 ms |
45676 KB |
Output is correct |
17 |
Correct |
579 ms |
49364 KB |
Output is correct |
18 |
Correct |
583 ms |
49412 KB |
Output is correct |
19 |
Correct |
555 ms |
49376 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
0 ms |
340 KB |
Output is correct |
23 |
Correct |
0 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 |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 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 |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
0 ms |
340 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 |
340 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 |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
468 KB |
Output is correct |
42 |
Correct |
1 ms |
468 KB |
Output is correct |
43 |
Correct |
0 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
0 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
468 KB |
Output is correct |
47 |
Correct |
1 ms |
468 KB |
Output is correct |
48 |
Correct |
1 ms |
340 KB |
Output is correct |
49 |
Correct |
1 ms |
340 KB |
Output is correct |
50 |
Correct |
0 ms |
468 KB |
Output is correct |
51 |
Correct |
0 ms |
340 KB |
Output is correct |
52 |
Correct |
0 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
0 ms |
340 KB |
Output is correct |
55 |
Correct |
0 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
724 KB |
Output is correct |
58 |
Correct |
3 ms |
1364 KB |
Output is correct |
59 |
Correct |
4 ms |
1364 KB |
Output is correct |
60 |
Correct |
3 ms |
1364 KB |
Output is correct |
61 |
Correct |
5 ms |
1364 KB |
Output is correct |
62 |
Correct |
4 ms |
1364 KB |
Output is correct |
63 |
Correct |
4 ms |
1364 KB |
Output is correct |
64 |
Correct |
4 ms |
1364 KB |
Output is correct |
65 |
Correct |
3 ms |
1364 KB |
Output is correct |
66 |
Correct |
3 ms |
1452 KB |
Output is correct |
67 |
Correct |
4 ms |
1364 KB |
Output is correct |
68 |
Correct |
3 ms |
1364 KB |
Output is correct |
69 |
Correct |
4 ms |
1364 KB |
Output is correct |
70 |
Correct |
4 ms |
1364 KB |
Output is correct |
71 |
Correct |
20 ms |
3760 KB |
Output is correct |
72 |
Correct |
77 ms |
12116 KB |
Output is correct |
73 |
Correct |
87 ms |
12300 KB |
Output is correct |
74 |
Correct |
90 ms |
12292 KB |
Output is correct |
75 |
Correct |
90 ms |
12300 KB |
Output is correct |
76 |
Correct |
93 ms |
12244 KB |
Output is correct |
77 |
Correct |
89 ms |
12296 KB |
Output is correct |
78 |
Correct |
72 ms |
12116 KB |
Output is correct |
79 |
Correct |
67 ms |
12204 KB |
Output is correct |
80 |
Correct |
93 ms |
12140 KB |
Output is correct |
81 |
Correct |
87 ms |
12256 KB |
Output is correct |
82 |
Correct |
78 ms |
12244 KB |
Output is correct |
83 |
Correct |
82 ms |
12224 KB |
Output is correct |
84 |
Correct |
88 ms |
12288 KB |
Output is correct |
85 |
Correct |
232 ms |
26428 KB |
Output is correct |
86 |
Correct |
605 ms |
49628 KB |
Output is correct |
87 |
Correct |
598 ms |
49620 KB |
Output is correct |
88 |
Correct |
575 ms |
49732 KB |
Output is correct |
89 |
Correct |
540 ms |
49644 KB |
Output is correct |
90 |
Correct |
551 ms |
49612 KB |
Output is correct |
91 |
Correct |
420 ms |
49400 KB |
Output is correct |
92 |
Correct |
499 ms |
49384 KB |
Output is correct |
93 |
Correct |
509 ms |
49500 KB |
Output is correct |
94 |
Correct |
570 ms |
49612 KB |
Output is correct |
95 |
Correct |
565 ms |
49464 KB |
Output is correct |
96 |
Correct |
590 ms |
49488 KB |
Output is correct |
97 |
Correct |
570 ms |
49616 KB |
Output is correct |