This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://judge.yosupo.jp/problem/zalgorithm"
#include "../../template/template.hpp"
#include "../../string/z-algorithm.hpp"
int main() {
string s;
cin >> s;
cout << ZAlgorithm(s).get() << "\n";
}
#line 1 "test/verify/yosupo-zalgorithm.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/zalgorithm"
#line 1 "template/template.hpp"
#include<bits/stdc++.h>
using namespace std;
using int64 = long long;
const int mod = 1e9 + 7;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 >& p) {
os << p.first << " " << p.second;
return os;
}
template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
is >> p.first >> p.second;
return is;
}
template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
for(int i = 0; i < (int) v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
for(T &in : v) is >> in;
return is;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template< typename T = int64 >
vector< T > make_v(size_t a) {
return vector< T >(a);
}
template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}
template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
t = v;
}
template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
for(auto &e : t) fill_v(e, v);
}
template< typename F >
struct FixPoint : F {
explicit FixPoint(F &&f) : F(forward< F >(f)) {}
template< typename... Args >
decltype(auto) operator()(Args &&... args) const {
return F::operator()(*this, forward< Args >(args)...);
}
};
template< typename F >
inline decltype(auto) MFP(F &&f) {
return FixPoint< F >{forward< F >(f)};
}
#line 4 "test/verify/yosupo-zalgorithm.test.cpp"
#line 1 "string/z-algorithm.hpp"
/**
* @brief Z Algorithm
* @see https://heno239.hatenablog.com/entry/2020/07/07/140651
* @docs docs/z-algorithm.md
*/
template< typename T = char >
struct ZAlgorithm {
private:
vector< T > s;
vector< int > deleted;
vector< vector< int > > delete_hist;
vector< int > z;
queue< int > cur;
public:
ZAlgorithm() : delete_hist{{}} {}
template< typename S >
ZAlgorithm(const S &s) : ZAlgorithm() {
for(auto &c: s) add(c);
}
void add(const T &c) {
s.emplace_back(c);
delete_hist.emplace_back();
deleted.emplace_back(0);
z.emplace_back(0);
z[0]++;
int len = (int) s.size();
if(len == 1) return;
if(s[0] == c) cur.emplace(len - 1);
else deleted[len - 1] = 1;
auto set = [&](int t, int len) {
deleted[t] = 1;
delete_hist[len].emplace_back(t);
z[t] = len - t - 1;
};
while(not cur.empty()) {
int t = cur.front();
if(deleted[t]) {
cur.pop();
} else if(s[len - t - 1] == s.back()) {
break;
} else {
set(t, len);
cur.pop();
}
}
if(not cur.empty()) {
int t = cur.front();
for(auto &p: delete_hist[len - t]) {
set(p + t, len);
}
}
}
int get(int k) const {
return deleted[k] ? z[k] : (int) s.size() - k;
}
int operator[](int k) const {
return get(k);
}
vector< int > get() {
vector< int > ret(s.size());
for(int i = 0; i < (int) s.size(); i++) {
ret[i] = get(i);
}
return ret;
}
};
#line 6 "test/verify/yosupo-zalgorithm.test.cpp"
int main() {
string s;
cin >> s;
cout << ZAlgorithm(s).get() << "\n";
}