#include<bits/stdc++.h>
#define ll long long
#define ull unsigned ll
#define f first
#define s second
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pb push_back
#define epb emplace_back
using namespace std;
const int NMAX = 3001 + 1;
const int inf = 1e9 + 1;
const ll linf = 1e18 + 1;
ll mod[] ={1000000007, 1000000009, 998244353};
ll pr[] = {29, 31, 37};
ll po[NMAX][3];
ll h[NMAX][3];
void hashing(string s){
h[0][0] = 0;
h[0][1] = 0;
h[0][2] = 0;
int n = s.size();
for(int i = 1; i <= n; i++){
ll x = s[i - 1] - 'a' + 1;
for(int j = 0; j < 3; j++){
h[i][j] = h[i - 1][j] * pr[j] + x;
h[i][j] %= mod[j];
}
}
}
ll get(int l, int r, int ind){
ll x = h[r][ind] - h[l - 1][ind] * po[r - l + 1][ind];
x %= mod[ind];
x += mod[ind];
x %= mod[ind];
return x;
}
ll dp[NMAX][NMAX];
int adj[NMAX][NMAX];
map<pii, int> mp;
vector <pii> vec[NMAX];
int main(){
po[0][0] = po[0][1] = po[0][2] = 1;
ios_base::sync_with_stdio(false); cin.tie(0);
int n; cin >> n;
for(int k = 0; k < 3; k++){
for(int i = 1; i <=n; i++){
po[i][k] = po[i - 1][k] * pr[k];
po[i][k] %= mod[k];
}
}
for(int i = 0; i <= n; i++){
for(int j = 0; j <= n; j++){
dp[i][j] = linf;
}
}
string s; cin >> s;
ll a, b, c;
cin >> a >> b >> c;
hashing(s);
for(int i = 1; i <= n; i++){
for(auto to : vec[i - 1]) mp[to] = i - 1;
for(int j = i; j <= n; j++){
ll x = get(i, j, 0);
ll x1 = get(i, j, 1);
int v = mp[{x, x1}];
if(v != 0)
adj[i][j - i + 1] = v - (j - i);
vec[j].pb({x, x1});
}
}
/*for(int i = 1; i <= n; i++){
for(int j = 1; j <= n; j++){
cout << adj[i][j] << ' ';
}
cout << "\n";
}*/
vector <ll> v[NMAX];
ll cnt[n + 1];
for(ll r = 1; r <= n; r++){
for(int i = 1; i <= n; i++)v[i].clear();
for(int i = 0; i <= n; i++)cnt[i] = 0;
for(int i = 1; i <= r; i++){
int cur = r - i + 1;
while(cur){
v[cur].pb(i);
cur = adj[cur][i];
}
}
ll mn = 0;
dp[r][r] = a;
for(ll l = r; l >= 1; l--){
for(ll to : v[l]){
cnt[to]++;
ll val = dp[r - to + 1][r] + b;
val += (c - to * a) * cnt[to];
mn = min(mn, val);
}
dp[l][r] = mn + (r - l + 1) * a;
dp[l][r] = min(dp[l][r], dp[l][r - 1] + a);
}
}
/*for(int i = 1; i <= n; i++){
for(int j = 1; j <= n; j++){
if(dp[i][j] == linf) cout << "-1 ";
else cout << dp[i][j] << " ";
}
cout << "\n";
}*/
cout << dp[1][n];
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
468 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
596 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
539 ms |
63284 KB |
Output is correct |
4 |
Correct |
655 ms |
71936 KB |
Output is correct |
5 |
Correct |
812 ms |
82708 KB |
Output is correct |
6 |
Correct |
944 ms |
95764 KB |
Output is correct |
7 |
Correct |
1154 ms |
110364 KB |
Output is correct |
8 |
Correct |
1157 ms |
110436 KB |
Output is correct |
9 |
Correct |
1161 ms |
110248 KB |
Output is correct |
10 |
Correct |
0 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
0 ms |
468 KB |
Output is correct |
13 |
Correct |
0 ms |
468 KB |
Output is correct |
14 |
Correct |
0 ms |
468 KB |
Output is correct |
15 |
Correct |
0 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
724 KB |
Output is correct |
17 |
Correct |
0 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
468 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
0 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
596 KB |
Output is correct |
16 |
Correct |
0 ms |
468 KB |
Output is correct |
17 |
Correct |
0 ms |
468 KB |
Output is correct |
18 |
Correct |
0 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
0 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
724 KB |
Output is correct |
30 |
Correct |
1 ms |
724 KB |
Output is correct |
31 |
Correct |
1 ms |
644 KB |
Output is correct |
32 |
Correct |
1 ms |
724 KB |
Output is correct |
33 |
Correct |
1 ms |
596 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
0 ms |
468 KB |
Output is correct |
36 |
Correct |
0 ms |
468 KB |
Output is correct |
37 |
Correct |
0 ms |
468 KB |
Output is correct |
38 |
Correct |
0 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
468 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
0 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
596 KB |
Output is correct |
16 |
Correct |
0 ms |
468 KB |
Output is correct |
17 |
Correct |
0 ms |
468 KB |
Output is correct |
18 |
Correct |
0 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
0 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
724 KB |
Output is correct |
30 |
Correct |
1 ms |
724 KB |
Output is correct |
31 |
Correct |
1 ms |
644 KB |
Output is correct |
32 |
Correct |
1 ms |
724 KB |
Output is correct |
33 |
Correct |
1 ms |
596 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
0 ms |
468 KB |
Output is correct |
36 |
Correct |
0 ms |
468 KB |
Output is correct |
37 |
Correct |
0 ms |
468 KB |
Output is correct |
38 |
Correct |
0 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
724 KB |
Output is correct |
40 |
Correct |
2 ms |
1364 KB |
Output is correct |
41 |
Correct |
4 ms |
2644 KB |
Output is correct |
42 |
Correct |
11 ms |
3796 KB |
Output is correct |
43 |
Correct |
10 ms |
3832 KB |
Output is correct |
44 |
Correct |
10 ms |
3800 KB |
Output is correct |
45 |
Correct |
10 ms |
3796 KB |
Output is correct |
46 |
Correct |
10 ms |
3756 KB |
Output is correct |
47 |
Correct |
8 ms |
2964 KB |
Output is correct |
48 |
Correct |
8 ms |
3284 KB |
Output is correct |
49 |
Correct |
9 ms |
3540 KB |
Output is correct |
50 |
Correct |
9 ms |
3540 KB |
Output is correct |
51 |
Correct |
9 ms |
3284 KB |
Output is correct |
52 |
Correct |
10 ms |
3376 KB |
Output is correct |
53 |
Correct |
11 ms |
3796 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
468 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
596 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
0 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
596 KB |
Output is correct |
16 |
Correct |
0 ms |
468 KB |
Output is correct |
17 |
Correct |
0 ms |
468 KB |
Output is correct |
18 |
Correct |
0 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
0 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
724 KB |
Output is correct |
22 |
Correct |
1 ms |
724 KB |
Output is correct |
23 |
Correct |
1 ms |
724 KB |
Output is correct |
24 |
Correct |
1 ms |
724 KB |
Output is correct |
25 |
Correct |
1 ms |
596 KB |
Output is correct |
26 |
Correct |
1 ms |
596 KB |
Output is correct |
27 |
Correct |
1 ms |
724 KB |
Output is correct |
28 |
Correct |
1 ms |
724 KB |
Output is correct |
29 |
Correct |
1 ms |
724 KB |
Output is correct |
30 |
Correct |
1 ms |
724 KB |
Output is correct |
31 |
Correct |
1 ms |
644 KB |
Output is correct |
32 |
Correct |
1 ms |
724 KB |
Output is correct |
33 |
Correct |
1 ms |
596 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
0 ms |
468 KB |
Output is correct |
36 |
Correct |
0 ms |
468 KB |
Output is correct |
37 |
Correct |
0 ms |
468 KB |
Output is correct |
38 |
Correct |
0 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
724 KB |
Output is correct |
40 |
Correct |
2 ms |
1364 KB |
Output is correct |
41 |
Correct |
4 ms |
2644 KB |
Output is correct |
42 |
Correct |
11 ms |
3796 KB |
Output is correct |
43 |
Correct |
10 ms |
3832 KB |
Output is correct |
44 |
Correct |
10 ms |
3800 KB |
Output is correct |
45 |
Correct |
10 ms |
3796 KB |
Output is correct |
46 |
Correct |
10 ms |
3756 KB |
Output is correct |
47 |
Correct |
8 ms |
2964 KB |
Output is correct |
48 |
Correct |
8 ms |
3284 KB |
Output is correct |
49 |
Correct |
9 ms |
3540 KB |
Output is correct |
50 |
Correct |
9 ms |
3540 KB |
Output is correct |
51 |
Correct |
9 ms |
3284 KB |
Output is correct |
52 |
Correct |
10 ms |
3376 KB |
Output is correct |
53 |
Correct |
11 ms |
3796 KB |
Output is correct |
54 |
Correct |
65 ms |
12896 KB |
Output is correct |
55 |
Correct |
125 ms |
23000 KB |
Output is correct |
56 |
Correct |
787 ms |
52588 KB |
Output is correct |
57 |
Correct |
781 ms |
52752 KB |
Output is correct |
58 |
Correct |
868 ms |
52892 KB |
Output is correct |
59 |
Correct |
778 ms |
53024 KB |
Output is correct |
60 |
Correct |
722 ms |
52976 KB |
Output is correct |
61 |
Correct |
500 ms |
36076 KB |
Output is correct |
62 |
Correct |
167 ms |
23104 KB |
Output is correct |
63 |
Correct |
641 ms |
45600 KB |
Output is correct |
64 |
Correct |
710 ms |
45760 KB |
Output is correct |
65 |
Correct |
557 ms |
37932 KB |
Output is correct |
66 |
Correct |
544 ms |
37840 KB |
Output is correct |
67 |
Correct |
826 ms |
52968 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
468 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
0 ms |
468 KB |
Output is correct |
5 |
Correct |
0 ms |
468 KB |
Output is correct |
6 |
Correct |
0 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
468 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
596 KB |
Output is correct |
12 |
Correct |
0 ms |
468 KB |
Output is correct |
13 |
Correct |
539 ms |
63284 KB |
Output is correct |
14 |
Correct |
655 ms |
71936 KB |
Output is correct |
15 |
Correct |
812 ms |
82708 KB |
Output is correct |
16 |
Correct |
944 ms |
95764 KB |
Output is correct |
17 |
Correct |
1154 ms |
110364 KB |
Output is correct |
18 |
Correct |
1157 ms |
110436 KB |
Output is correct |
19 |
Correct |
1161 ms |
110248 KB |
Output is correct |
20 |
Correct |
0 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
0 ms |
468 KB |
Output is correct |
23 |
Correct |
0 ms |
468 KB |
Output is correct |
24 |
Correct |
0 ms |
468 KB |
Output is correct |
25 |
Correct |
0 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
724 KB |
Output is correct |
27 |
Correct |
0 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
596 KB |
Output is correct |
30 |
Correct |
1 ms |
596 KB |
Output is correct |
31 |
Correct |
0 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
596 KB |
Output is correct |
33 |
Correct |
0 ms |
468 KB |
Output is correct |
34 |
Correct |
0 ms |
468 KB |
Output is correct |
35 |
Correct |
0 ms |
468 KB |
Output is correct |
36 |
Correct |
1 ms |
468 KB |
Output is correct |
37 |
Correct |
0 ms |
468 KB |
Output is correct |
38 |
Correct |
1 ms |
724 KB |
Output is correct |
39 |
Correct |
1 ms |
724 KB |
Output is correct |
40 |
Correct |
1 ms |
724 KB |
Output is correct |
41 |
Correct |
1 ms |
724 KB |
Output is correct |
42 |
Correct |
1 ms |
596 KB |
Output is correct |
43 |
Correct |
1 ms |
596 KB |
Output is correct |
44 |
Correct |
1 ms |
724 KB |
Output is correct |
45 |
Correct |
1 ms |
724 KB |
Output is correct |
46 |
Correct |
1 ms |
724 KB |
Output is correct |
47 |
Correct |
1 ms |
724 KB |
Output is correct |
48 |
Correct |
1 ms |
644 KB |
Output is correct |
49 |
Correct |
1 ms |
724 KB |
Output is correct |
50 |
Correct |
1 ms |
596 KB |
Output is correct |
51 |
Correct |
1 ms |
468 KB |
Output is correct |
52 |
Correct |
0 ms |
468 KB |
Output is correct |
53 |
Correct |
0 ms |
468 KB |
Output is correct |
54 |
Correct |
0 ms |
468 KB |
Output is correct |
55 |
Correct |
0 ms |
468 KB |
Output is correct |
56 |
Correct |
1 ms |
724 KB |
Output is correct |
57 |
Correct |
2 ms |
1364 KB |
Output is correct |
58 |
Correct |
4 ms |
2644 KB |
Output is correct |
59 |
Correct |
11 ms |
3796 KB |
Output is correct |
60 |
Correct |
10 ms |
3832 KB |
Output is correct |
61 |
Correct |
10 ms |
3800 KB |
Output is correct |
62 |
Correct |
10 ms |
3796 KB |
Output is correct |
63 |
Correct |
10 ms |
3756 KB |
Output is correct |
64 |
Correct |
8 ms |
2964 KB |
Output is correct |
65 |
Correct |
8 ms |
3284 KB |
Output is correct |
66 |
Correct |
9 ms |
3540 KB |
Output is correct |
67 |
Correct |
9 ms |
3540 KB |
Output is correct |
68 |
Correct |
9 ms |
3284 KB |
Output is correct |
69 |
Correct |
10 ms |
3376 KB |
Output is correct |
70 |
Correct |
11 ms |
3796 KB |
Output is correct |
71 |
Correct |
65 ms |
12896 KB |
Output is correct |
72 |
Correct |
125 ms |
23000 KB |
Output is correct |
73 |
Correct |
787 ms |
52588 KB |
Output is correct |
74 |
Correct |
781 ms |
52752 KB |
Output is correct |
75 |
Correct |
868 ms |
52892 KB |
Output is correct |
76 |
Correct |
778 ms |
53024 KB |
Output is correct |
77 |
Correct |
722 ms |
52976 KB |
Output is correct |
78 |
Correct |
500 ms |
36076 KB |
Output is correct |
79 |
Correct |
167 ms |
23104 KB |
Output is correct |
80 |
Correct |
641 ms |
45600 KB |
Output is correct |
81 |
Correct |
710 ms |
45760 KB |
Output is correct |
82 |
Correct |
557 ms |
37932 KB |
Output is correct |
83 |
Correct |
544 ms |
37840 KB |
Output is correct |
84 |
Correct |
826 ms |
52968 KB |
Output is correct |
85 |
Correct |
2717 ms |
124288 KB |
Output is correct |
86 |
Execution timed out |
3078 ms |
207436 KB |
Time limit exceeded |
87 |
Halted |
0 ms |
0 KB |
- |