#include<iostream>
#include<stdio.h>
#include<stdint.h>
#include<vector>
#include<algorithm>
#include<utility>
#include<set>
#include<map>
#include<queue>
#include<stack>
using namespace std;
const int64_t INF = (int64_t) 1e18 + 777;
const int64_t mINF = 2500 + 5;
const int64_t MOD = 1e9 + 9;
const int nbit = 11;
const int ndig = 10;
const int nchar = 26;
const int p1 = 31;
const int p2 = 53;
const int D = 4;
int dr[D] = {0, 1, 0, -1};
int dc[D] = {1, 0, -1, 0};
struct Thing
{
int h1;
int h2;
int id;
Thing(int h1_, int h2_, int id_) : h1(h1_), h2(h2_) ,id(id_) {}
bool operator < (const Thing& o) const
{
if(h1 != o.h1) return h1 > o.h1;
else if(h2 != o.h2) return h2 > o.h2;
return id < o.id;
}
};
struct Solution
{
int n;
string s;
int64_t a;
int64_t b;
int64_t c;
Solution() {}
void solve()
{
cin >> n >> s >> a >> b >> c;
vector<vector<int> > h1(n, vector<int>(n, -1));
vector<vector<int> > h2(n, vector<int>(n, -1));
for(int i = 0; i < n; i++)
{
int t1 = 0;
int t2 = 0;
int pow1 = 1;
int pow2 = 1;
for(int j = i; j < n; j++)
{
int ch = s[j] - 'a' + 1;
t1 = modadd(t1, modmul(ch, pow1));
t2 = modadd(t2, modmul(ch, pow2));
pow1 = modmul(pow1, p1);
pow2 = modmul(pow1, p2);
h1[i][j] = t1;
h2[i][j] = t2;
}
}
vector<vector<int64_t> > dp(n, vector<int64_t>(n, INF));
for(int i = 0; i < n; i++)
{
dp[i][i] = a;
}
for(int len = 0; len < n; len++)
{
set<Thing> st;
for(int i = 0; i < n; i++)
{
int j = i + len;
if(j >= n) break;
st.insert(Thing(h1[i][j], h2[i][j], i));
}
for(int i = 0; i < n; i++)
{
int j = i + len;
if(len == 0 || j >= n) break;
dp[i][j] = min(dp[i][j], dp[i][j - 1] + a);
if(i != n - 1) dp[i][j] = min(dp[i][j], dp[i + 1][j] + a);
}
vector<Thing> tt;
for(set<Thing>::iterator it = st.begin(); it != st.end(); it++)
{
tt.push_back(*(it));
}
int k = tt.size();
int tid = 0;
vector<int> nx(n, -1);
while(tid < k)
{
pair<int, int> last = make_pair(tt[tid].h1, tt[tid].h2);
vector<int> pos;
while(tid < k && make_pair(tt[tid].h1, tt[tid].h2) == last)
{
pos.push_back(tt[tid].id);
tid++;
}
int ps = pos.size();
int r = ps - 1;
for(int i = ps - 2; i >= 0; i--)
{
while(r > 0 && pos[r - 1] > pos[i] + len) r--;
if(pos[r] > pos[i] + len) nx[pos[i]] = pos[r];
}
}
for(int64_t i = 0; i < n; i++)
{
int64_t l = i;
int64_t j = i + len;
int64_t cnt = 2;
while(nx[l] != -1)
{
int64_t nl = nx[l];
int64_t nr = nl + len;
int64_t x = nr - i + 1 - cnt * (len + 1);
dp[i][nr] = min(dp[i][nr], dp[i][j] + b + c * cnt + a * x);
cnt++;
l = nl;
}
}
}
// for(int i = 0; i < n; i++)
// {
// for(int j = 0; j < n; j++)
// {
// if(dp[i][j] == INF) cout << "I ";
// else cout << dp[i][j] << " ";
// }
// cout << "\n";
// }
cout << dp[0][n - 1];
}
int modsub(int t1, int t2)
{
int res = t1 - t2;
if(res < 0) res += MOD;
return res;
}
int modadd(int t1, int t2)
{
int res = t1 + t2;
if(res >= MOD) res -= MOD;
return res;
}
int modmul(int t1, int t2)
{
int64_t res = 1LL * t1 * t2;
return (res % MOD);
}
bool BIT(int& mask, int& j)
{
return (mask & MASK(j));
}
int MASK(int j)
{
return (1 << j);
}
};
void __startup()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
}
int main()
{
__startup();
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
Solution().solve();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
334 ms |
53000 KB |
Output is correct |
4 |
Correct |
396 ms |
61864 KB |
Output is correct |
5 |
Correct |
474 ms |
72292 KB |
Output is correct |
6 |
Correct |
560 ms |
84416 KB |
Output is correct |
7 |
Correct |
647 ms |
98692 KB |
Output is correct |
8 |
Correct |
654 ms |
98696 KB |
Output is correct |
9 |
Correct |
692 ms |
98692 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 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 |
256 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 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 |
256 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
3 ms |
988 KB |
Output is correct |
42 |
Correct |
4 ms |
980 KB |
Output is correct |
43 |
Correct |
4 ms |
980 KB |
Output is correct |
44 |
Correct |
4 ms |
984 KB |
Output is correct |
45 |
Correct |
4 ms |
980 KB |
Output is correct |
46 |
Correct |
5 ms |
980 KB |
Output is correct |
47 |
Correct |
3 ms |
988 KB |
Output is correct |
48 |
Correct |
4 ms |
980 KB |
Output is correct |
49 |
Correct |
5 ms |
980 KB |
Output is correct |
50 |
Correct |
4 ms |
988 KB |
Output is correct |
51 |
Correct |
4 ms |
980 KB |
Output is correct |
52 |
Correct |
4 ms |
980 KB |
Output is correct |
53 |
Correct |
4 ms |
980 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 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 |
256 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
3 ms |
988 KB |
Output is correct |
42 |
Correct |
4 ms |
980 KB |
Output is correct |
43 |
Correct |
4 ms |
980 KB |
Output is correct |
44 |
Correct |
4 ms |
984 KB |
Output is correct |
45 |
Correct |
4 ms |
980 KB |
Output is correct |
46 |
Correct |
5 ms |
980 KB |
Output is correct |
47 |
Correct |
3 ms |
988 KB |
Output is correct |
48 |
Correct |
4 ms |
980 KB |
Output is correct |
49 |
Correct |
5 ms |
980 KB |
Output is correct |
50 |
Correct |
4 ms |
988 KB |
Output is correct |
51 |
Correct |
4 ms |
980 KB |
Output is correct |
52 |
Correct |
4 ms |
980 KB |
Output is correct |
53 |
Correct |
4 ms |
980 KB |
Output is correct |
54 |
Correct |
17 ms |
3536 KB |
Output is correct |
55 |
Correct |
79 ms |
16084 KB |
Output is correct |
56 |
Correct |
90 ms |
16160 KB |
Output is correct |
57 |
Correct |
89 ms |
16084 KB |
Output is correct |
58 |
Correct |
91 ms |
16168 KB |
Output is correct |
59 |
Correct |
93 ms |
16160 KB |
Output is correct |
60 |
Correct |
93 ms |
16168 KB |
Output is correct |
61 |
Correct |
91 ms |
16224 KB |
Output is correct |
62 |
Correct |
82 ms |
16084 KB |
Output is correct |
63 |
Correct |
90 ms |
16084 KB |
Output is correct |
64 |
Correct |
90 ms |
16160 KB |
Output is correct |
65 |
Correct |
89 ms |
16164 KB |
Output is correct |
66 |
Correct |
94 ms |
16164 KB |
Output is correct |
67 |
Correct |
86 ms |
16076 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
334 ms |
53000 KB |
Output is correct |
14 |
Correct |
396 ms |
61864 KB |
Output is correct |
15 |
Correct |
474 ms |
72292 KB |
Output is correct |
16 |
Correct |
560 ms |
84416 KB |
Output is correct |
17 |
Correct |
647 ms |
98692 KB |
Output is correct |
18 |
Correct |
654 ms |
98696 KB |
Output is correct |
19 |
Correct |
692 ms |
98692 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
340 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
212 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 |
256 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
3 ms |
988 KB |
Output is correct |
59 |
Correct |
4 ms |
980 KB |
Output is correct |
60 |
Correct |
4 ms |
980 KB |
Output is correct |
61 |
Correct |
4 ms |
984 KB |
Output is correct |
62 |
Correct |
4 ms |
980 KB |
Output is correct |
63 |
Correct |
5 ms |
980 KB |
Output is correct |
64 |
Correct |
3 ms |
988 KB |
Output is correct |
65 |
Correct |
4 ms |
980 KB |
Output is correct |
66 |
Correct |
5 ms |
980 KB |
Output is correct |
67 |
Correct |
4 ms |
988 KB |
Output is correct |
68 |
Correct |
4 ms |
980 KB |
Output is correct |
69 |
Correct |
4 ms |
980 KB |
Output is correct |
70 |
Correct |
4 ms |
980 KB |
Output is correct |
71 |
Correct |
17 ms |
3536 KB |
Output is correct |
72 |
Correct |
79 ms |
16084 KB |
Output is correct |
73 |
Correct |
90 ms |
16160 KB |
Output is correct |
74 |
Correct |
89 ms |
16084 KB |
Output is correct |
75 |
Correct |
91 ms |
16168 KB |
Output is correct |
76 |
Correct |
93 ms |
16160 KB |
Output is correct |
77 |
Correct |
93 ms |
16168 KB |
Output is correct |
78 |
Correct |
91 ms |
16224 KB |
Output is correct |
79 |
Correct |
82 ms |
16084 KB |
Output is correct |
80 |
Correct |
90 ms |
16084 KB |
Output is correct |
81 |
Correct |
90 ms |
16160 KB |
Output is correct |
82 |
Correct |
89 ms |
16164 KB |
Output is correct |
83 |
Correct |
94 ms |
16164 KB |
Output is correct |
84 |
Correct |
86 ms |
16076 KB |
Output is correct |
85 |
Correct |
227 ms |
39736 KB |
Output is correct |
86 |
Correct |
698 ms |
98688 KB |
Output is correct |
87 |
Correct |
672 ms |
98692 KB |
Output is correct |
88 |
Correct |
660 ms |
98692 KB |
Output is correct |
89 |
Correct |
656 ms |
98760 KB |
Output is correct |
90 |
Correct |
680 ms |
98692 KB |
Output is correct |
91 |
Correct |
730 ms |
98688 KB |
Output is correct |
92 |
Correct |
706 ms |
98688 KB |
Output is correct |
93 |
Correct |
680 ms |
98696 KB |
Output is correct |
94 |
Correct |
704 ms |
98620 KB |
Output is correct |
95 |
Correct |
776 ms |
98692 KB |
Output is correct |
96 |
Correct |
778 ms |
98688 KB |
Output is correct |
97 |
Correct |
653 ms |
98592 KB |
Output is correct |