This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef __int128 lll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MAX 9223372036854775807LL
#define MIN -9223372036854775807LL
#define INF 0x3f3f3f3f3f3f3f3f
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10);
#define sp << " "
#define en << "\n"
#define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end())
ll n;
char s[2510];
ll A, B, C;
ll dp[2510][2510];
ll je[2510], je2[2510];
ll inv[2510], inv2[2510];
ll num[2510][2510];
ll nu[2510];
ll nu2[2510];
ll hs = 79, hs2 = 31;
ll ss = 1000000007;
ll L[6300010], R[6300010];
ll GO[6300010];
vector< pair<pll, ll> > sad;
ll cc;
ll gaet[2510];
vector<ll> vv[2510];
ll sqrmtp(ll X, ll Y)
{
ll ret = 1;
while(Y)
{
if(Y & 1)
ret = ret * X % ss;
X = X * X % ss;
Y >>= 1;
}
return ret;
}
ll f(ll L, ll R)
{
ll ret = (nu[R] - nu[L - 1]) * inv[L] % ss;
return (ret + ss) % ss;
}
ll f2(ll L, ll R)
{
ll ret = (nu2[R] - nu2[L - 1]) * inv2[L] % ss;
return (ret + ss) % ss;
}
ll comp(ll L1, ll R1, ll L2, ll R2)
{
return (f(L1, R1) == f(L2, R2) && f2(L1, R1) == f2(L2, R2));
}
int main(void)
{
fastio
cin >> n;
for(ll i = 1 ; i <= n ; ++i)
cin >> s[i];
cin >> A;
cin >> B;
cin >> C;
je[0] = 1;
je2[0] = 1;
for(ll i = 1 ; i <= n ; ++i)
{
je[i] = je[i - 1] * hs % ss;
je2[i] = je2[i - 1] * hs2 % ss;
}
for(ll i = 0 ; i <= n ; ++i)
{
inv[i] = sqrmtp(je[i], ss - 2);
inv2[i] = sqrmtp(je2[i], ss - 2);
}
for(ll i = 1 ; i <= n ; ++i)
{
nu[i] = (nu[i - 1] + je[i] * (s[i] - 'a' + 1) % ss) % ss;
nu2[i] = (nu2[i - 1] + je2[i] * (s[i] - 'a' + 1) % ss) % ss;
}
for(ll i = 1 ; i <= n ; ++i)
{
for(ll j = i ; j <= n ; ++j)
{
num[i][j] = ++cc;
sad.push_back({{f(i, j), f2(i, j)}, cc});
L[cc] = i, R[cc] = j;
}
}
vector<ll> tmp;
sort(sad.begin(), sad.end());
tmp.push_back(sad[0].se);
for(ll i = 1 ; i <= (ll)sad.size() ; ++i)
{
if(i == (ll)sad.size() || sad[i].fi != sad[i - 1].fi)
{
ll siz = (ll)tmp.size();
for(ll j = 1 ; j < siz ; ++j)
{
ll l = 0, r = j - 1;
while(l <= r)
{
ll mid = (l + r) >> 1;
if(R[tmp[mid]] < L[tmp[j]])
l = mid + 1;
else
r = mid - 1;
}
if(r == -1)
continue;
GO[tmp[j]] = tmp[r];
}
tmp.clear();
if(i < (ll)sad.size())
tmp.push_back(sad[i].se);
}
else
tmp.push_back(sad[i].se);
}
for(ll i = 1 ; i <= n ; ++i)
{
for(ll j = 1 ; j <= i ; ++j)
{
vv[j].clear();
gaet[j] = 0;
}
ll minn = INF;
for(ll j = i ; j >= 1 ; --j)
{
ll X = num[j][i];
while(X)
{
vv[L[X]].push_back(j);
X = GO[X];
}
}
for(ll j = i ; j >= 1 ; --j)
{
dp[j][i] = (i - j + 1) * A;
dp[j][i] = min(dp[j][i], dp[j][i - 1] + A);
for(auto &k : vv[j])
{
gaet[k]++;
minn = min(minn, B + dp[k][i] + gaet[k] * (C - A * (i - k + 1)));
}
dp[j][i] = min(dp[j][i], minn + A * (i - j + 1));
}
}
cout << dp[1][n];
return 0;
}
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