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;
#define fast ios::sync_with_stdio(0);cin.tie(0);
#define s second
#define f first
typedef long long ll;
const ll MOD = 1e9+9;
const ll LOGN = 30;
const ll MAXN = 1e5 + 100;
const ll MULT = 1e9;
#define int long long
const ll P = 31;
string s;
int decr_c[MAXN], decr_m[MAXN], inc[26][MAXN], n;
ll hashes[MAXN], hashes_rev[MAXN], pw[MAXN], res = 0;
ll _hash(int x, int len, bool rev) {
if (rev == 0) {
int r = x + len - 1;
ll res = (hashes[r] - (hashes[x-1] * pw[r-x+1]) % MOD + MOD) % MOD;
return res;
} else {
int l = x - len + 1;
ll res = (hashes_rev[l] - (hashes_rev[x+1] * pw[x+1-l]) % MOD + MOD) % MOD;
return res;
}
}
void f(int l, int r, bool rev) {
if (l > r)
return ;
int c, m;
if (rev == 0) {
c = -(l - 1);
m = 1;
} else {
c = r + 1;
m = -1;
}
decr_c[l] += c;
decr_c[r+1] -= c;
decr_m[l] += m;
decr_m[r+1] -= m;
}
void calc(int x, int y) {
int mx_len = min(x, n-y+1);
int L = 0;
int R = mx_len;
int ans = 0;
while (R >= L) {
int mid = L + (R-L)/2;
if (_hash(x, mid, 1) == _hash(y, mid, 0)) {
ans = mid;
L = mid + 1;
} else
R = mid - 1;
}
res += ans;
int l = x - ans + 1;
int r = y + ans - 1;
if (ans != 0) {
if (x != y) {
f(l, x, 0);
f(y, r, 1);
} else {
f(l, x-1, 0);
f(x+1, r, 1);
}
}
if (ans != mx_len) {
int _L = ans + 2;
int _R = mx_len;
int _ans = ans + 1;
while (_R >= _L) {
int mid = _L + (_R - _L) / 2;
if (_hash(x-ans-1, mid - ans - 1, 1) == _hash(y+ans+1, mid - ans - 1, 0)) {
_ans = mid;
_L = mid + 1;
} else
_R = mid - 1;
}
L = l-1;
R = r+1;
inc[s[L] - 'a'][R] += _ans - ans;
inc[s[R] - 'a'][L] += _ans - ans;
}
}
signed main() {
fast
cin >> s;
n = s.length();
s = "#" + s;
pw[0] = 1;
for (int i = 1; i < MAXN; i++)
pw[i] = (pw[i-1] * P) % MOD;
for (int i = 1; i <= n; i++)
hashes[i] = (hashes[i-1] * P + (s[i] - 'a' + 1)) % MOD;
for (int i = n; i >= 1; i--)
hashes_rev[i] = (hashes_rev[i+1] * P + (s[i] - 'a' + 1)) % MOD;
for (int i = 1; i <= n; i++) {
calc(i, i);
if (i != 1)
calc(i-1, i);
}
for (int i = 1; i <= n; i++) {
decr_c[i] += decr_c[i-1];
decr_m[i] += decr_m[i-1];
}
ll ans = res;
for (int i = 1; i <= n; i++) {
for (int j = 0; j < 26; j++)
ans = max(ans, res + inc[j][i] - (decr_c[i] + decr_m[i] * i));
}
cout << ans << "\n";
}
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