#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, deque<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) {
int crval = get(i, i+un-1);
auto &v = app[crval];
v.push_back(i);
while(v.size()>=2 && v[1]>i+un-1)
v.pop_front();
if(v[0]<=i+un-1) nxt[i] = -1;
else nxt[i] = v[0];
}
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 |
1 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 |
0 ms |
340 KB |
Output is correct |
10 |
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 |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
191 ms |
33836 KB |
Output is correct |
4 |
Correct |
208 ms |
38856 KB |
Output is correct |
5 |
Correct |
249 ms |
42216 KB |
Output is correct |
6 |
Correct |
296 ms |
45696 KB |
Output is correct |
7 |
Correct |
344 ms |
49360 KB |
Output is correct |
8 |
Correct |
345 ms |
49352 KB |
Output is correct |
9 |
Correct |
343 ms |
49480 KB |
Output is correct |
10 |
Correct |
0 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 |
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 |
1 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 |
1 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 |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 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 |
1 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 |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 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 |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
468 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 |
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 |
468 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 |
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 |
1 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 |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 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 |
1 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 |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 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 |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
468 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 |
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 |
468 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 |
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 |
2 ms |
724 KB |
Output is correct |
41 |
Correct |
2 ms |
1364 KB |
Output is correct |
42 |
Correct |
4 ms |
1492 KB |
Output is correct |
43 |
Correct |
4 ms |
1492 KB |
Output is correct |
44 |
Correct |
5 ms |
1588 KB |
Output is correct |
45 |
Correct |
5 ms |
1584 KB |
Output is correct |
46 |
Correct |
5 ms |
1492 KB |
Output is correct |
47 |
Correct |
3 ms |
1364 KB |
Output is correct |
48 |
Correct |
4 ms |
1428 KB |
Output is correct |
49 |
Correct |
5 ms |
1508 KB |
Output is correct |
50 |
Correct |
3 ms |
1492 KB |
Output is correct |
51 |
Correct |
4 ms |
1492 KB |
Output is correct |
52 |
Correct |
5 ms |
1492 KB |
Output is correct |
53 |
Correct |
5 ms |
1584 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 |
1 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 |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 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 |
1 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 |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 KB |
Output is correct |
19 |
Correct |
0 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 |
468 KB |
Output is correct |
23 |
Correct |
1 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
468 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 |
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 |
468 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 |
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 |
2 ms |
724 KB |
Output is correct |
41 |
Correct |
2 ms |
1364 KB |
Output is correct |
42 |
Correct |
4 ms |
1492 KB |
Output is correct |
43 |
Correct |
4 ms |
1492 KB |
Output is correct |
44 |
Correct |
5 ms |
1588 KB |
Output is correct |
45 |
Correct |
5 ms |
1584 KB |
Output is correct |
46 |
Correct |
5 ms |
1492 KB |
Output is correct |
47 |
Correct |
3 ms |
1364 KB |
Output is correct |
48 |
Correct |
4 ms |
1428 KB |
Output is correct |
49 |
Correct |
5 ms |
1508 KB |
Output is correct |
50 |
Correct |
3 ms |
1492 KB |
Output is correct |
51 |
Correct |
4 ms |
1492 KB |
Output is correct |
52 |
Correct |
5 ms |
1492 KB |
Output is correct |
53 |
Correct |
5 ms |
1584 KB |
Output is correct |
54 |
Correct |
25 ms |
4048 KB |
Output is correct |
55 |
Correct |
38 ms |
12116 KB |
Output is correct |
56 |
Correct |
122 ms |
12916 KB |
Output is correct |
57 |
Correct |
122 ms |
12908 KB |
Output is correct |
58 |
Correct |
129 ms |
13004 KB |
Output is correct |
59 |
Correct |
126 ms |
12884 KB |
Output is correct |
60 |
Correct |
120 ms |
12920 KB |
Output is correct |
61 |
Correct |
66 ms |
12388 KB |
Output is correct |
62 |
Correct |
37 ms |
12204 KB |
Output is correct |
63 |
Correct |
123 ms |
12500 KB |
Output is correct |
64 |
Correct |
110 ms |
12752 KB |
Output is correct |
65 |
Correct |
82 ms |
12528 KB |
Output is correct |
66 |
Correct |
83 ms |
12500 KB |
Output is correct |
67 |
Correct |
124 ms |
12916 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 |
1 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 |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 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 |
191 ms |
33836 KB |
Output is correct |
14 |
Correct |
208 ms |
38856 KB |
Output is correct |
15 |
Correct |
249 ms |
42216 KB |
Output is correct |
16 |
Correct |
296 ms |
45696 KB |
Output is correct |
17 |
Correct |
344 ms |
49360 KB |
Output is correct |
18 |
Correct |
345 ms |
49352 KB |
Output is correct |
19 |
Correct |
343 ms |
49480 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
1 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 |
1 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 |
0 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 |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
0 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 |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
41 |
Correct |
1 ms |
468 KB |
Output is correct |
42 |
Correct |
1 ms |
468 KB |
Output is correct |
43 |
Correct |
1 ms |
468 KB |
Output is correct |
44 |
Correct |
1 ms |
468 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 |
468 KB |
Output is correct |
49 |
Correct |
1 ms |
468 KB |
Output is correct |
50 |
Correct |
1 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 |
2 ms |
724 KB |
Output is correct |
58 |
Correct |
2 ms |
1364 KB |
Output is correct |
59 |
Correct |
4 ms |
1492 KB |
Output is correct |
60 |
Correct |
4 ms |
1492 KB |
Output is correct |
61 |
Correct |
5 ms |
1588 KB |
Output is correct |
62 |
Correct |
5 ms |
1584 KB |
Output is correct |
63 |
Correct |
5 ms |
1492 KB |
Output is correct |
64 |
Correct |
3 ms |
1364 KB |
Output is correct |
65 |
Correct |
4 ms |
1428 KB |
Output is correct |
66 |
Correct |
5 ms |
1508 KB |
Output is correct |
67 |
Correct |
3 ms |
1492 KB |
Output is correct |
68 |
Correct |
4 ms |
1492 KB |
Output is correct |
69 |
Correct |
5 ms |
1492 KB |
Output is correct |
70 |
Correct |
5 ms |
1584 KB |
Output is correct |
71 |
Correct |
25 ms |
4048 KB |
Output is correct |
72 |
Correct |
38 ms |
12116 KB |
Output is correct |
73 |
Correct |
122 ms |
12916 KB |
Output is correct |
74 |
Correct |
122 ms |
12908 KB |
Output is correct |
75 |
Correct |
129 ms |
13004 KB |
Output is correct |
76 |
Correct |
126 ms |
12884 KB |
Output is correct |
77 |
Correct |
120 ms |
12920 KB |
Output is correct |
78 |
Correct |
66 ms |
12388 KB |
Output is correct |
79 |
Correct |
37 ms |
12204 KB |
Output is correct |
80 |
Correct |
123 ms |
12500 KB |
Output is correct |
81 |
Correct |
110 ms |
12752 KB |
Output is correct |
82 |
Correct |
82 ms |
12528 KB |
Output is correct |
83 |
Correct |
83 ms |
12500 KB |
Output is correct |
84 |
Correct |
124 ms |
12916 KB |
Output is correct |
85 |
Correct |
320 ms |
27384 KB |
Output is correct |
86 |
Correct |
825 ms |
51140 KB |
Output is correct |
87 |
Correct |
800 ms |
51152 KB |
Output is correct |
88 |
Correct |
865 ms |
51156 KB |
Output is correct |
89 |
Correct |
793 ms |
51152 KB |
Output is correct |
90 |
Correct |
851 ms |
51148 KB |
Output is correct |
91 |
Correct |
244 ms |
49392 KB |
Output is correct |
92 |
Correct |
288 ms |
49488 KB |
Output is correct |
93 |
Correct |
640 ms |
50272 KB |
Output is correct |
94 |
Correct |
654 ms |
50612 KB |
Output is correct |
95 |
Correct |
595 ms |
50084 KB |
Output is correct |
96 |
Correct |
601 ms |
50180 KB |
Output is correct |
97 |
Correct |
835 ms |
51048 KB |
Output is correct |