#include #pragma GCC optimize("unroll-loops") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; const ll ILL=2167167167167167167; const int INF=2100000000; const int mod=998244353; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a,bool upp=0){if(a) cout<<(upp?"YES\n":"Yes\n"); else cout<<(upp?"NO\n":"No\n");} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} //https://snuke.hatenablog.com/entry/2014/12/02/235837 vector mana(string S){ int i = 0, j = 0; vector R(S.size()); while (i < (int)S.size()) { while (i-j >= 0 && i+j < (int)S.size() && S[i-j] == S[i+j]) ++j; R[i] = j; int k = 1; while (i-k >= 0 && k+R[i-k] < j) R[i+k] = R[i-k], ++k; i += k; j -= k; } return R; } struct RollingHash { using u64 = uint64_t; static inline const u64 mod = 0x1FFF'FFFF'FFFF'FFFF, base = mt19937_64{random_device{}()}() % mod; ll n; vector hash, pow; static u64 add(u64 a, u64 b) { a += b; if(a >= mod) a -= mod; return a; } static u64 mul(u64 a, u64 b) { auto c = __uint128_t(a) * b; return add(c >> 61, c & mod); } RollingHash(const string& s): n(s.size()), hash(n + 1), pow(n + 1, 1) { for(ll i = 0; i < n; i++) { pow[i + 1] = mul(pow[i], base); hash[i + 1] = add(mul(hash[i], base), s[i]); } } u64 get(ll l, ll r) const { return add(hash[r], mod - mul(hash[l], pow[r - l])); } }; std::vector> tree_in(int N){ std::vector> G(N); for(int i=0;i>a>>b; a--,b--; G[a].push_back(b); G[b].push_back(a); } return G; } std::tuple,std::vector,std::vector> tree_order_pare_depth(std::vector> &G,int root){ int n=G.size(); std::vector order={root},pare(n,-1),depth(n); pare[root]=-2; for(int i=0;i tree_diameter_path(std::vector> &G){ int n=G.size(); auto r=(std::get<0>(tree_order_pare_depth(G,0))).at(n-1); std::vector order,pare,depth,ans; tie(order,pare,depth)=tree_order_pare_depth(G,r); int ind=order[n-1]; while(ind!=-2){ ans.push_back(ind); ind=pare[ind]; } return ans; } namespace atcoder { namespace internal { // @param n `0 <= n` // @return minimum non-negative `x` s.t. `n <= 2**x` int ceil_pow2(int n) { int x = 0; while ((1U << x) < (unsigned int)(n)) x++; return x; } // @param n `1 <= n` // @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0` int bsf(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } } // namespace internal template struct segtree { public: segtree() : segtree(0) {} segtree(int n) : segtree(std::vector(n, e())) {} segtree(const std::vector& v) : _n(int(v.size())) { log = internal::ceil_pow2(_n); size = 1 << log; d = std::vector(2 * size, e()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); return d[p + size]; } void addl(int p,S x){ set(p,op(get(p),x)); } void addr(int p,S x){ set(p,op(x,get(p))); } void inti(){ for(auto *x:d) x=e(); } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); S sml = e(), smr = e(); l += size; r += size; while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } template int max_right(int l) { return max_right(l, [](S x) { return f(x); }); } template int max_right(int l, F f) { assert(0 <= l && l <= _n); assert(f(e())); if (l == _n) return _n; l += size; S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!f(op(sm, d[l]))) { while (l < size) { l = (2 * l); if (f(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r) { return min_left(r, [](S x) { return f(x); }); } template int min_left(int r, F f) { assert(0 <= r && r <= _n); assert(f(e())); if (r == 0) return 0; r += size; S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(op(d[r], sm))) { while (r < size) { r = (2 * r + 1); if (f(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector d; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } }; } // namespace atcoder using namespace atcoder; int op(int a,int b){ return min(a,b); } int e(){ return INF; } int target; bool g(int a){return a>target;} void solve(); // oddloop int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t=1; //cin>>t; rep(i,0,t) solve(); } void solve(){ string S; cin>>S; string T; rep(i,0,S.size()){ if(i) T+='$'; T+=S[i]; } swap(S,T); RollingHash H(S); auto M=mana(S); using u64=uint64_t; map m; m[0]=0; vector pare={-1}; int N=S.size(); vector> f_order; segtree seg(N); rep(i,0,N){ if((i+M[i])%2==0) M[i]--; seg.set(i,i-M[i]+1); if(M[i]==0) continue; int sz=M[i]; int l=i-sz+1,r=i+sz; while(true){ auto tmp=H.get(l,r); if(m.count(tmp)) break; f_order.push_back({l,r}); int ind=m.size(); m[tmp]=ind; int n_l=l+2; int n_r=r-2; if(n_l>=n_r){ pare.push_back(0); break; } auto n_tmp=H.get(n_l,n_r); if(m.count(n_tmp)){ pare.push_back(m[n_tmp]); break; } else{ pare.push_back(ind+1); } l=n_l,r=n_r; } } //vec_out(pare); //cout<> G(L); rep(i,1,L) G[pare[i]].push_back(i); vector X(L); rep(i,0,N) if(M[i]) X[m[H.get(i+1-M[i],i+M[i])]]++; auto [order,popo,depth]=tree_order_pare_depth(G,0); for(int i=L-1;i>0;i--){ int a=order[i]; X[pare[a]]+=X[a]; } vector ans(L,-1); ans[0]=0; auto f=[&](auto self,int l,int r) -> int { auto ind=m[H.get(l,r)]; if(ans[ind]!=-1) return ind; int len=((r-l+1)/2); if(len==1){ ans[ind]=X[ind]; return ind; } int n_l,n_r,n_ind; int c=(r+l)/2; target=l; int n_c=seg.min_left(c)-1; n_l=l,n_r=l+(n_c-l)*2+1; // cacl n_l,n_r n_ind=self(self,n_l,n_r); ans[ind]=X[ind]*((r-l+1)/2)+ans[n_ind]; return ind; }; for(auto tmp:f_order) f(f,tmp.first,tmp.second); cout<