#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 2500 + 2;
struct H{
int p,mod;
vector<ll> h,inv;
ll binpow(ll a,ll b) {
ll ret = 1,k = a;
while(b) {
if(b & 1) {
ret *= k;
ret %= mod;
}
k *= k;
k%=mod;
b /= 2;
}
return ret;
}
void init(string s) {
int n = (int)s.size();
h.resize((int)s.size());
inv.resize((int)s.size());
ll x = 1;
for(int i = 0;i < n;i++) {
h[i] = x * 1ll * (s[i] - 'a' + 1)%mod;
if(i) h[i] += h[i - 1];
if(h[i] >= mod) h[i] -= mod;
inv[i] = binpow(x,mod-2);
x = x * 1ll * p%mod;
}
}
int get(int l,int r) {
ll val = h[r];
if(l) {
val -= h[l - 1];
}
if(val < 0) val += mod;
val = val * inv[l]%mod;
return val;
}
}xx,yy;
string s;
ll a,b,c;
int n;
ll dp[N][N];
int nx[N][N];
map<pair<int,int>,vector<pair<int,int>>> f;
void test() {
cin >> n >> s >> a >> b >> c;
yy.p = 37;yy.mod = 998244353;yy.init(s);
xx.p = 167;xx.mod = (int)1e9 + 7;xx.init(s);
bool sub = true;
for(int i = 0;i < n;i++) {
if(s[i] != 'a') {
sub = false;
}
}
ll res = n * 1ll * a;
if(sub) {
for(int i = 1;i < n;i++) {
res = min(res,i * 1ll * a + b + a * 1ll * (n % i) + (n / i) * c);
}
cout << res;
return;
}
for(int i = 0;i < n;i++) {
for(int j = i;j < n;j++) {
f[{xx.get(i,j),yy.get(i,j)}].push_back({i,j});
}
}
for(auto [t,k]:f) {
int it = (int)k.size() - 1;
for(int j = (int)k.size() - 1;j >= 0;j--) {
while(it >= 0 && k[it].first > k[j].second) {
it--;
}
if(it == (int)k.size() - 1) {
nx[k[j].first][k[j].second] = -1;
} else {
nx[k[j].first][k[j].second] = k[it + 1].first;
}
}
}
for(int l = n - 1;l >= 0;l--) {
dp[l][l] = a;
for(int r = l + 1;r < n;r++) {
dp[l][r] = min(dp[l + 1][r],dp[l][r - 1]) + a;
int len = (r - l + 1) / 2;
int mx = -1;
for(;len >= 1;len--) {
if(xx.get(l,l + len - 1) != xx.get(r - len + 1,r)) continue;
if(yy.get(l,l + len - 1) != yy.get(r - len + 1,r)) continue;
int occ = 0;
int L = l,R = l + len - 1;
while(true) {
occ++;
L = nx[L][R];
R = L + len - 1;
if(L == -1 || R > r) {
break;
}
}
if(mx >= occ) break;
mx = occ;
int sz = (r - l + 1);
dp[l][r] = min(dp[l][r],dp[l][l + len - 1] + (sz - len * 1ll * occ) * 1ll * a + (occ - 1) * c + b + c);
}
// cout << l << ' ' << r << ' ' << dp[l][r] << '\n';
}
}
cout << dp[0][n-1] << '\n';
}
signed main() {
ios_base::sync_with_stdio(false);cin.tie(0);
int t = 1;
// cin >> t;
while(t--) {
test();
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Incorrect |
1 ms |
496 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
604 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
604 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
0 ms |
520 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
604 KB |
Output is correct |
29 |
Correct |
1 ms |
600 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
0 ms |
604 KB |
Output is correct |
33 |
Correct |
0 ms |
604 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
604 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
604 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
0 ms |
520 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
604 KB |
Output is correct |
29 |
Correct |
1 ms |
600 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
0 ms |
604 KB |
Output is correct |
33 |
Correct |
0 ms |
604 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
2 ms |
1372 KB |
Output is correct |
41 |
Incorrect |
2 ms |
2396 KB |
Output isn't correct |
42 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
604 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
604 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
1 ms |
604 KB |
Output is correct |
23 |
Correct |
0 ms |
520 KB |
Output is correct |
24 |
Correct |
1 ms |
604 KB |
Output is correct |
25 |
Correct |
1 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
1 ms |
604 KB |
Output is correct |
28 |
Correct |
1 ms |
604 KB |
Output is correct |
29 |
Correct |
1 ms |
600 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
0 ms |
604 KB |
Output is correct |
33 |
Correct |
0 ms |
604 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
2 ms |
1372 KB |
Output is correct |
41 |
Incorrect |
2 ms |
2396 KB |
Output isn't correct |
42 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Incorrect |
1 ms |
496 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |