#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;
#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())
const int mn = 1e5 + 5;
const ll MOD = 1e9 + 7;
const ll base = 21121;
ll change[mn][26], basePow[mn], n;
vector<pii> open[mn], close[mn];
struct BIT {
vector<ll> tr;
BIT (int sz) : tr(sz + 1) {}
int p (int k) { return k & -k; }
void update (int k, ll delta) {
for (int t = 0; k < tr.size(); t += p(k), k += p(k)) {
ll contrib = delta * basePow[t] % MOD;
tr[k] = (tr[k] + contrib) % MOD;
}
}
ll preSum (int k) {
ll ans = 0;
for (int t = 0; k; t += p(k), k -= p(k)) {
ll contrib = tr[k] * basePow[t] % MOD;
ans = (ans + contrib) % MOD;
}
return ans;
}
ll query (int l, int r) {
return (preSum(r) - preSum(l - 1) * basePow[r - l + 1] + MOD * MOD) % MOD;
}
} preHash(mn), sfxHash(mn);
int rev (int i) { return n - i + 1; }
bool valid (int l, int r) {
if (l < 1 || r > n) return 0;
//cout << "checking " << l << ".." << r << " " << preHash.query(l, r) << " " << sfxHash.query(rev(r), rev(l)) << "\n";
return preHash.query(l, r) == sfxHash.query(rev(r), rev(l));
}
bool checkOdd (int core, int wing) {
return valid(core - wing + 1, core + wing - 1);
}
bool checkEven (int core, int wing) {
return valid(core - wing + 1, core + wing);
}
int calcOdd (int i) {
int wingOdd = 1;
for (int step = n / 2; step >= 1; step /= 2)
while (checkOdd(i, wingOdd + step)) wingOdd += step;
return wingOdd;
}
int calcEven (int i) {
int wingEven = 0;
for (int step = n / 2; step >= 1; step /= 2)
while (checkEven(i, wingEven + step)) wingEven += step;
return wingEven;
}
void update (int i, int c) {
preHash.update(i, c);
sfxHash.update(rev(i), c);
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
basePow[0] = 1;
for (int i = 1; i < mn; i++)
basePow[i] = basePow[i - 1] * base % MOD;
string s; cin >> s;
n = s.length(), s = " " + s;
for (int i = 1; i <= n; i++) update(i, s[i]);
ll curAns = 0;
for (int i = 1; i <= n; i++) {
int wingOdd = calcOdd(i), wingEven = calcEven(i);
curAns += wingOdd + wingEven;
//cout << "dbg " << i << " " << wingOdd << " " << wingEven << "\n";
if (1 <= i - wingOdd && i + wingOdd <= n) {
ll delta = s[i + wingOdd] - s[i - wingOdd];
update(i - wingOdd, delta);
ll contrib = calcOdd(i) - wingOdd;
change[i - wingOdd][s[i + wingOdd] - 'a'] += contrib;
change[i + wingOdd][s[i - wingOdd] - 'a'] += contrib;
update(i - wingOdd, -delta);
}
if (1 <= i - wingEven && i + wingEven + 1 <= n) {
ll delta = s[i + wingEven + 1] - s[i - wingEven];
update(i - wingEven, delta);
ll contrib = calcEven(i) - wingEven;
change[i - wingEven][s[i + wingEven + 1] - 'a'] += contrib;
change[i + wingEven + 1][s[i - wingEven] - 'a'] += contrib;
update(i - wingEven, -delta);
}
if (wingOdd > 1) {
// disturb odd palindrome
open[i - wingOdd + 1].emplace_back(i - wingOdd, 1), close[i - 1].emplace_back(i - wingOdd, 1);
open[i + 1].emplace_back(i + wingOdd, 0), close[i + wingOdd - 1].emplace_back(i + wingOdd, 0);
}
if (wingEven > 0) {
// disturb even palindrome
open[i - wingEven + 1].emplace_back(i - wingEven, 1), close[i].emplace_back(i - wingEven, 1);
open[i + 1].emplace_back(i + wingEven + 1, 0), close[i + wingEven].emplace_back(i + wingEven + 1, 0);
}
}
// try changing each letter
ll ans = curAns, sumLeft = 0, cntLeft = 0, sumRight = 0, cntRight = 0;
for (int i = 1; i <= n; i++) {
for (pii item : open[i]) {
int p, type; tie(p, type) = item;
if (type) sumLeft += p, cntLeft++;
else sumRight += p, cntRight++;
}
ll rem = i * cntLeft - sumLeft + sumRight - i * cntRight;
for (int j = 0; j < 26; j++)
if (j != s[i] - 'a') ans = max(ans, curAns - rem + change[i][j]);
for (pii item : close[i]) {
int p, type; tie(p, type) = item;
if (type) sumLeft -= p, cntLeft--;
else sumRight -= p, cntRight--;
}
}
cout << ans;
return 0;
}
Compilation message
palinilap.cpp: In member function 'void BIT::update(int, ll)':
palinilap.cpp:27:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
27 | for (int t = 0; k < tr.size(); t += p(k), k += p(k)) {
| ~~^~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
8272 KB |
Output is correct |
| 2 |
Correct |
3 ms |
8272 KB |
Output is correct |
| 3 |
Correct |
4 ms |
8272 KB |
Output is correct |
| 4 |
Correct |
3 ms |
8272 KB |
Output is correct |
| 5 |
Correct |
3 ms |
8272 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
17 ms |
10832 KB |
Output is correct |
| 2 |
Correct |
24 ms |
10832 KB |
Output is correct |
| 3 |
Correct |
31 ms |
10576 KB |
Output is correct |
| 4 |
Correct |
17 ms |
8272 KB |
Output is correct |
| 5 |
Correct |
24 ms |
10576 KB |
Output is correct |
| 6 |
Correct |
29 ms |
10576 KB |
Output is correct |
| 7 |
Correct |
27 ms |
10320 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
975 ms |
34632 KB |
Output is correct |
| 2 |
Correct |
729 ms |
39748 KB |
Output is correct |
| 3 |
Correct |
662 ms |
39608 KB |
Output is correct |
| 4 |
Correct |
929 ms |
33328 KB |
Output is correct |
| 5 |
Correct |
947 ms |
33176 KB |
Output is correct |
| 6 |
Correct |
901 ms |
33084 KB |
Output is correct |
| 7 |
Correct |
899 ms |
33176 KB |
Output is correct |
| 8 |
Correct |
251 ms |
20152 KB |
Output is correct |
| 9 |
Correct |
912 ms |
33348 KB |
Output is correct |
| 10 |
Correct |
948 ms |
33488 KB |
Output is correct |
| 11 |
Correct |
726 ms |
39784 KB |
Output is correct |
| 12 |
Execution timed out |
1067 ms |
38176 KB |
Time limit exceeded |
| 13 |
Halted |
0 ms |
0 KB |
- |
