// #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include using namespace std; namespace templates { // type using ll = long long; using ull = unsigned long long; using Pii = pair; using Pil = pair; using Pli = pair; using Pll = pair; template using pq = priority_queue; template using qp = priority_queue, greater>; // clang-format off #define vec(T, A, ...) vector A(__VA_ARGS__); #define vvec(T, A, h, ...) vector> A(h, vector(__VA_ARGS__)); #define vvvec(T, A, h1, h2, ...) vector>> A(h1, vector>(h2, vector(__VA_ARGS__))); // clang-format on // for loop #define fori1(a) for (ll _ = 0; _ < (a); _++) #define fori2(i, a) for (ll i = 0; i < (a); i++) #define fori3(i, a, b) for (ll i = (a); i < (b); i++) #define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c)) #define overload4(a, b, c, d, e, ...) e #define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__) // declare and input // clang-format off #define INT(...) int __VA_ARGS__; inp(__VA_ARGS__); #define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__); #define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__); #define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__); #define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___); #define VEC(T, A, n) vector A(n); inp(A); #define VVEC(T, A, n, m) vector> A(n, vector(m)); inp(A); // clang-format on // const value const ll MOD1 = 1000000007; const ll MOD9 = 998244353; const double PI = acos(-1); // other macro #ifndef RIN__LOCAL #define endl "\n" #endif #define spa ' ' #define len(A) ll(A.size()) #define all(A) begin(A), end(A) // function vector stoc(string &S) { int n = S.size(); vector ret(n); for (int i = 0; i < n; i++) ret[i] = S[i]; return ret; } string ctos(vector &S) { int n = S.size(); string ret = ""; for (int i = 0; i < n; i++) ret += S[i]; return ret; } template auto min(const T &a) { return *min_element(all(a)); } template auto max(const T &a) { return *max_element(all(a)); } template auto clamp(T &a, const S &l, const S &r) { return (a > r ? r : a < l ? l : a); } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } template inline bool chclamp(T &a, const S &l, const S &r) { auto b = clamp(a, l, r); return (a != b ? a = b, 1 : 0); } template T sum(vector &A) { T tot = 0; for (auto a : A) tot += a; return tot; } template vector compression(vector X) { sort(all(X)); X.erase(unique(all(X)), X.end()); return X; } // input and output namespace io { // vector template istream &operator>>(istream &is, vector &A) { for (auto &a : A) is >> a; return is; } template ostream &operator<<(ostream &os, vector &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << ' '; } return os; } // vector> template istream &operator>>(istream &is, vector> &A) { for (auto &a : A) is >> a; return is; } template ostream &operator<<(ostream &os, vector> &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << endl; } return os; } // pair template istream &operator>>(istream &is, pair &A) { is >> A.first >> A.second; return is; } template ostream &operator<<(ostream &os, pair &A) { os << A.first << ' ' << A.second; return os; } // vector> template istream &operator>>(istream &is, vector> &A) { for (size_t i = 0; i < A.size(); i++) { is >> A[i]; } return is; } template ostream &operator<<(ostream &os, vector> &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << endl; } return os; } // tuple template struct TuplePrint { static ostream &print(ostream &os, const T &t) { TuplePrint::print(os, t); os << ' ' << get(t); return os; } }; template struct TuplePrint { static ostream &print(ostream &os, const T &t) { os << get<0>(t); return os; } }; template ostream &operator<<(ostream &os, const tuple &t) { TuplePrint::print(os, t); return os; } // io functions void FLUSH() { cout << flush; } void print() { cout << endl; } template void print(Head &&head, Tail &&...tail) { cout << head; if (sizeof...(Tail)) cout << spa; print(std::forward(tail)...); } template void prisep(vector &A, S sep) { int n = A.size(); for (int i = 0; i < n; i++) { cout << A[i]; if (i != n - 1) cout << sep; } cout << endl; } template void priend(T A, S end) { cout << A << end; } template void prispa(T A) { priend(A, spa); } template bool printif(bool f, T A, S B) { if (f) print(A); else print(B); return f; } template void inp(T &...a) { (cin >> ... >> a); } } // namespace io using namespace io; // read graph vector> read_edges(int n, int m, bool direct = false, int indexed = 1) { vector> edges(n, vector()); for (int i = 0; i < m; i++) { INT(u, v); u -= indexed; v -= indexed; edges[u].push_back(v); if (!direct) edges[v].push_back(u); } return edges; } vector> read_tree(int n, int indexed = 1) { return read_edges(n, n - 1, false, indexed); } template vector>> read_wedges(int n, int m, bool direct = false, int indexed = 1) { vector>> edges(n, vector>()); for (int i = 0; i < m; i++) { INT(u, v); T w; inp(w); u -= indexed; v -= indexed; edges[u].push_back({v, w}); if (!direct) edges[v].push_back({u, w}); } return edges; } template vector>> read_wtree(int n, int indexed = 1) { return read_wedges(n, n - 1, false, indexed); } // yes / no namespace yesno { // yes inline bool yes(bool f = true) { cout << (f ? "yes" : "no") << endl; return f; } inline bool Yes(bool f = true) { cout << (f ? "Yes" : "No") << endl; return f; } inline bool YES(bool f = true) { cout << (f ? "YES" : "NO") << endl; return f; } // no inline bool no(bool f = true) { cout << (!f ? "yes" : "no") << endl; return f; } inline bool No(bool f = true) { cout << (!f ? "Yes" : "No") << endl; return f; } inline bool NO(bool f = true) { cout << (!f ? "YES" : "NO") << endl; return f; } // possible inline bool possible(bool f = true) { cout << (f ? "possible" : "impossible") << endl; return f; } inline bool Possible(bool f = true) { cout << (f ? "Possible" : "Impossible") << endl; return f; } inline bool POSSIBLE(bool f = true) { cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl; return f; } // impossible inline bool impossible(bool f = true) { cout << (!f ? "possible" : "impossible") << endl; return f; } inline bool Impossible(bool f = true) { cout << (!f ? "Possible" : "Impossible") << endl; return f; } inline bool IMPOSSIBLE(bool f = true) { cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl; return f; } // Alice Bob inline bool Alice(bool f = true) { cout << (f ? "Alice" : "Bob") << endl; return f; } inline bool Bob(bool f = true) { cout << (f ? "Bob" : "Alice") << endl; return f; } // Takahashi Aoki inline bool Takahashi(bool f = true) { cout << (f ? "Takahashi" : "Aoki") << endl; return f; } inline bool Aoki(bool f = true) { cout << (f ? "Aoki" : "Takahashi") << endl; return f; } } // namespace yesno using namespace yesno; } // namespace templates using namespace templates; /////// https://ei1333.github.io/library/string/palindromic-tree.hpp /** * @brief Palindromic Tree(回文木) * @see https://math314.hateblo.jp/entry/2016/12/19/005919 * @docs docs/palindromic-tree.md */ template struct PalindromicTree { public: struct Node { map link; // 子のidx int suffix_link; // 最長回文接尾辞のidx int length; // 対応する回文の長さ vector idx; // 対応する回文を最長回文接尾辞とするidx int delta_link; // 差分が異なる最長回文接尾辞のidx Node() = default; Node(int suf, int length) : suffix_link(suf), length(length), delta_link(-1) {} }; vector ns; int ptr; vector vs; private: int find_prev_palindrome(int cur) const { int pos = (int)vs.size() - 1; for (;;) { int rev = pos - 1 - ns[cur].length; if (rev >= 0 and vs[rev] == vs.back()) break; cur = ns[cur].suffix_link; } return cur; } bool output_dfs(int v, int id, vector &ret) const { if (v == id) return true; for (auto &nxt : ns[v].link) { if (output_dfs(nxt.second, id, ret)) { ret.emplace_back(nxt.first); return true; } } return false; } public: PalindromicTree() : ptr(0) { ns.emplace_back(0, -1); // 長さ -1 ns.emplace_back(0, 0); // 長さ 0 } PalindromicTree(const string &S) : PalindromicTree() { add(S); } int diff(int t) const { if (ns[t].suffix_link <= 0) return -1; return ns[t].length - ns[ns[t].suffix_link].length; } int add(const T &x) { int idx = (int)vs.size(); vs.emplace_back(x); int cur = find_prev_palindrome(ptr); auto res = ns[cur].link.insert(make_pair(x, (int)ns.size())); ptr = res.first->second; if (res.second) { ns.emplace_back(-1, ns[cur].length + 2); if (ns.back().length == 1) { ns.back().suffix_link = 1; } else { ns.back().suffix_link = ns[find_prev_palindrome(ns[cur].suffix_link)].link[x]; } if (diff(ptr) == diff(ns.back().suffix_link)) { ns.back().delta_link = ns[ns.back().suffix_link].delta_link; } else { ns.back().delta_link = ns.back().suffix_link; } } ns[ptr].idx.emplace_back(idx); return ptr; } // add(x) のあとに呼び出す // * init(node_idx, pos): 頂点 node_idx を S[pos,i] が回文のときの初期値にする // * apply(node_idx, pre_idx): 頂点 node_idx に 頂点 pre_idx の結果を加える // * update: S[i]を末尾とする回文の頂点番号の集合 template vector update_dp(const I &init, const U &apply) { int i = (int)vs.size() - 1; int id = ptr; vector update; while (ns[id].length > 0) { init(id, i + 1 - ns[ns[id].delta_link].length - diff(id)); if (ns[id].suffix_link != ns[id].delta_link) { apply(id, ns[id].suffix_link); } update.emplace_back(id); id = ns[id].delta_link; } return update; } void add(const string &s) { for (auto &x : s) add(x); } vector build_frequency() const { vector ret(ns.size()); for (int i = (int)ns.size() - 1; i > 0; i--) { ret[i] += (int)ns[i].idx.size(); ret[ns[i].suffix_link] += ret[i]; } return ret; } vector output(int idx) const { if (idx == 0) return {-1}; if (idx == 1) return {0}; vector ret; output_dfs(0, idx, ret); output_dfs(1, idx, ret); int start = (int)ret.size() - 1; if (ns[idx].length & 1) --start; for (int i = start; i >= 0; i--) { ret.emplace_back(ret[i]); } return ret; } int size() const { return (int)ns.size(); } Node &operator[](int idx) { return ns[idx]; } }; void solve() { STRING(S); PalindromicTree pt(S); auto le = pt.size(); auto res = pt.build_frequency(); vec(ll, ans, le, 0); fori(i, le) { auto &p = pt[i]; if (p.length <= 0) continue; ll x = ll(res[i]) * ll(p.length); ans[i] += x; ans[i] += ans[p.suffix_link]; } print(max(ans)); } int main() { cin.tie(0)->sync_with_stdio(0); // cout << fixed << setprecision(12); int t; t = 1; // cin >> t; while (t--) solve(); return 0; }