// https://oj.uz/problem/view/APIO14_palindrome
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
struct PalindromeTree {
struct Node {
// largest palindromic suffix
Node *suffix;
// add a letter to the right and left side of the palindrome
Node *next[26];
// length of this palindrome
int length;
// number of occurrences
ll occurrences;
ll occLazy;
};
Node* rootm1 = new Node();
Node* root0 = new Node();
vector<Node*> creationOrder;
void init()
{
rootm1->length = -1;
rootm1->suffix = rootm1;
root0->length = 0;
root0->suffix = rootm1;
}
Node *makeNode(const string &s, int i, Node *prevNode) {
Node *newNode = new Node(); // allocate on heap
char c = s[i];
prevNode->next[c - 'a'] = newNode;
newNode->length = prevNode->length + 2;
newNode->occurrences = 0;
newNode->occLazy = 0;
if(newNode->length == 1) {
newNode->suffix = root0;
}else {
do {
prevNode = prevNode->suffix;
} while (s[i - (prevNode->length + 1)] != c);
if (!(newNode->suffix = prevNode->next[c - 'a']))
{
newNode->suffix = makeNode(s, i, prevNode);
}
}
creationOrder.push_back(newNode);
return newNode;
}
PalindromeTree(string &s) {
init();
Node *state = rootm1;
s = '@' + s;
for (int i = 1; i < s.length(); i++)
{
char c = s[i];
while (s[i - (state->length + 1)] != c) {
state = state->suffix;
}
Node *endState = state->next[c - 'a'];
if (!endState) {
endState = makeNode(s, i, state);
}
endState->occLazy++;
state = endState;
}
}
ll bestCount(){
for (int i = creationOrder.size() - 1; i >= 0; i--) {
creationOrder[i]->occurrences += creationOrder[i]->occLazy;
creationOrder[i]->suffix->occLazy += creationOrder[i]->occLazy;
creationOrder[i]->occLazy = 0;
}
ll best = 0;
for (int i = 0; i < creationOrder.size(); i++)
{
best = max(best, creationOrder[i]->occurrences * creationOrder[i]->length);
}
return best;
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
string s;
cin >> s;
PalindromeTree tree(s);
cout << tree.bestCount() << endl;
return 0;
}
Compilation message
palindrome.cpp: In constructor 'PalindromeTree::PalindromeTree(std::string&)':
palindrome.cpp:57:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
57 | for (int i = 1; i < s.length(); i++)
| ~~^~~~~~~~~~~~
palindrome.cpp: In member function 'll PalindromeTree::bestCount()':
palindrome.cpp:78:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<PalindromeTree::Node*>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
78 | for (int i = 0; i < creationOrder.size(); i++)
| ~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
312 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
0 ms |
208 KB |
Output is correct |
4 |
Correct |
0 ms |
208 KB |
Output is correct |
5 |
Correct |
0 ms |
208 KB |
Output is correct |
6 |
Correct |
1 ms |
208 KB |
Output is correct |
7 |
Correct |
0 ms |
208 KB |
Output is correct |
8 |
Correct |
0 ms |
316 KB |
Output is correct |
9 |
Correct |
0 ms |
208 KB |
Output is correct |
10 |
Correct |
0 ms |
208 KB |
Output is correct |
11 |
Correct |
0 ms |
208 KB |
Output is correct |
12 |
Correct |
0 ms |
208 KB |
Output is correct |
13 |
Correct |
0 ms |
208 KB |
Output is correct |
14 |
Correct |
0 ms |
208 KB |
Output is correct |
15 |
Correct |
0 ms |
208 KB |
Output is correct |
16 |
Correct |
0 ms |
208 KB |
Output is correct |
17 |
Correct |
1 ms |
284 KB |
Output is correct |
18 |
Correct |
0 ms |
208 KB |
Output is correct |
19 |
Correct |
1 ms |
320 KB |
Output is correct |
20 |
Correct |
0 ms |
336 KB |
Output is correct |
21 |
Correct |
1 ms |
384 KB |
Output is correct |
22 |
Correct |
1 ms |
248 KB |
Output is correct |
23 |
Correct |
1 ms |
336 KB |
Output is correct |
24 |
Correct |
0 ms |
312 KB |
Output is correct |
25 |
Correct |
0 ms |
336 KB |
Output is correct |
26 |
Correct |
0 ms |
336 KB |
Output is correct |
27 |
Correct |
0 ms |
336 KB |
Output is correct |
28 |
Correct |
1 ms |
308 KB |
Output is correct |
29 |
Correct |
0 ms |
208 KB |
Output is correct |
30 |
Correct |
0 ms |
316 KB |
Output is correct |
31 |
Correct |
0 ms |
208 KB |
Output is correct |
32 |
Correct |
1 ms |
296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
464 KB |
Output is correct |
2 |
Correct |
1 ms |
464 KB |
Output is correct |
3 |
Correct |
1 ms |
464 KB |
Output is correct |
4 |
Correct |
1 ms |
464 KB |
Output is correct |
5 |
Correct |
1 ms |
464 KB |
Output is correct |
6 |
Correct |
1 ms |
568 KB |
Output is correct |
7 |
Correct |
1 ms |
464 KB |
Output is correct |
8 |
Correct |
0 ms |
464 KB |
Output is correct |
9 |
Correct |
1 ms |
464 KB |
Output is correct |
10 |
Correct |
0 ms |
336 KB |
Output is correct |
11 |
Correct |
0 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2884 KB |
Output is correct |
2 |
Correct |
2 ms |
2896 KB |
Output is correct |
3 |
Correct |
2 ms |
2896 KB |
Output is correct |
4 |
Correct |
2 ms |
2884 KB |
Output is correct |
5 |
Correct |
2 ms |
2896 KB |
Output is correct |
6 |
Correct |
2 ms |
2884 KB |
Output is correct |
7 |
Correct |
3 ms |
2896 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
1 ms |
336 KB |
Output is correct |
10 |
Correct |
2 ms |
2000 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
26360 KB |
Output is correct |
2 |
Correct |
17 ms |
26312 KB |
Output is correct |
3 |
Correct |
17 ms |
26264 KB |
Output is correct |
4 |
Correct |
19 ms |
26300 KB |
Output is correct |
5 |
Correct |
22 ms |
26308 KB |
Output is correct |
6 |
Correct |
19 ms |
19228 KB |
Output is correct |
7 |
Correct |
17 ms |
22368 KB |
Output is correct |
8 |
Correct |
2 ms |
716 KB |
Output is correct |
9 |
Correct |
5 ms |
6476 KB |
Output is correct |
10 |
Correct |
19 ms |
22512 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
49 ms |
78344 KB |
Output is correct |
2 |
Correct |
51 ms |
78324 KB |
Output is correct |
3 |
Correct |
54 ms |
78360 KB |
Output is correct |
4 |
Correct |
51 ms |
78324 KB |
Output is correct |
5 |
Correct |
60 ms |
78304 KB |
Output is correct |
6 |
Correct |
51 ms |
70680 KB |
Output is correct |
7 |
Correct |
59 ms |
65276 KB |
Output is correct |
8 |
Correct |
4 ms |
1224 KB |
Output is correct |
9 |
Correct |
4 ms |
1252 KB |
Output is correct |
10 |
Correct |
52 ms |
64180 KB |
Output is correct |
11 |
Correct |
49 ms |
78300 KB |
Output is correct |
12 |
Correct |
8 ms |
8240 KB |
Output is correct |