#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #include using namespace std; #define rep(i, n) for (int i = 0; i < int(n); i++) #define per(i, n) for (int i = (n)-1; 0 <= i; i--) #define rep2(i, l, r) for (int i = (l); i < int(r); i++) #define per2(i, l, r) for (int i = (r)-1; int(l) <= i; i--) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } using ll = long long; using pii = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } template using minheap = std::priority_queue, std::greater>; template using maxheap = std::priority_queue; template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } // __int128_t gcd(__int128_t a, __int128_t b) { // if (a == 0) // return b; // if (b == 0) // return a; // __int128_t cnt = a % b; // while (cnt != 0) { // a = b; // b = cnt; // cnt = a % b; // } // return b; // } long long extGCD(long long a, long long b, long long &x, long long &y) { if (b == 0) { x = 1; y = 0; return a; } long long d = extGCD(b, a % b, y, x); y -= a / b * x; return d; } struct UnionFind { vector data; int num; UnionFind(int sz) { data.assign(sz, -1); num = sz; } bool unite(int x, int y) { x = find(x), y = find(y); if (x == y) return (false); if (data[x] > data[y]) swap(x, y); data[x] += data[y]; data[y] = x; num--; return (true); } int find(int k) { if (data[k] < 0) return (k); return (data[k] = find(data[k])); } int size(int k) { return (-data[find(k)]); } bool same(int x, int y) { return find(x) == find(y); } int operator[](int k) { return find(k); } }; template struct Mod_Int { int x; Mod_Int() : x(0) { } Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) { } static int get_mod() { return mod; } Mod_Int &operator+=(const Mod_Int &p) { if ((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator-=(const Mod_Int &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator*=(const Mod_Int &p) { x = (int)(1LL * x * p.x % mod); return *this; } Mod_Int &operator/=(const Mod_Int &p) { *this *= p.inverse(); return *this; } Mod_Int &operator++() { return *this += Mod_Int(1); } Mod_Int operator++(int) { Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator--() { return *this -= Mod_Int(1); } Mod_Int operator--(int) { Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator-() const { return Mod_Int(-x); } Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; } Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; } Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; } Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; } bool operator==(const Mod_Int &p) const { return x == p.x; } bool operator!=(const Mod_Int &p) const { return x != p.x; } Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod - 2); } Mod_Int pow(long long k) const { Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; } friend istream &operator>>(istream &is, Mod_Int &p) { long long a; is >> a; p = Mod_Int(a); return is; } }; ll mpow2(ll x, ll n, ll mod) { ll ans = 1; x %= mod; while (n != 0) { if (n & 1) ans = ans * x % mod; x = x * x % mod; n = n >> 1; } ans %= mod; return ans; } ll modinv2(ll a, ll mod) { ll b = mod, u = 1, v = 0; while (b) { ll t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= mod; if (u < 0) u += mod; return u; } ll divide_int(ll a, ll b) { if (b < 0) a = -a, b = -b; return (a >= 0 ? a / b : (a - b + 1) / b); } const int MOD = 1000000007; // const int MOD = 998244353; using mint = Mod_Int; mint mpow(mint x, ll n) { bool rev = n < 0; n = abs(n); mint ans = 1; while (n != 0) { if (n & 1) ans *= x; x *= x; n = n >> 1; } return (rev ? ans.inverse() : ans); } // ----- library ------- vector z_algorithm(const string &s) { vector prefix(s.size()); for (int i = 1, j = 0; i < s.size(); i++) { if (i + prefix[i - j] < j + prefix[j]) { prefix[i] = prefix[i - j]; } else { int k = max(0, j + prefix[j] - i); while (i + k < s.size() && s[k] == s[i + k]) ++k; prefix[i] = k; j = i; } } prefix[0] = (int)s.size(); return prefix; } template struct Dual_Segment_Tree { using H = function; int n, height; vector lazy; const H h; const Operator_Monoid e2; // h(h(p,q),r) = h(p,h(q,r)), h(e2,p) = h(p,e2) = p Dual_Segment_Tree(int m, const H &h, const Operator_Monoid &e2) : h(h), e2(e2) { n = 1, height = 0; while (n < m) n <<= 1, height++; lazy.assign(2 * n, e2); } inline void eval(int i) { if (i < n && lazy[i] != e2) { lazy[2 * i] = h(lazy[2 * i], lazy[i]); lazy[2 * i + 1] = h(lazy[2 * i + 1], lazy[i]); lazy[i] = e2; } } inline void thrust(int i) { for (int j = height; j > 0; j--) eval(i >> j); } void apply(int l, int r, const Operator_Monoid &x) { l = max(l, 0), r = min(r, n); if (l >= r) return; l += n, r += n; thrust(l), thrust(r - 1); while (l < r) { if (l & 1) lazy[l] = h(lazy[l], x), l++; if (r & 1) r--, lazy[r] = h(lazy[r], x); l >>= 1, r >>= 1; } } Operator_Monoid get(int i) { thrust(i + n); return lazy[i + n]; } Operator_Monoid operator[](int i) { return get(i); } }; // ----- library ------- int main() { ios::sync_with_stdio(false); std::cin.tie(nullptr); cout << fixed << setprecision(15); string s; cin >> s; int n = sz(s); auto pre = z_algorithm(s); minheap que; vector> ev(n + 1), bo(n + 1); rep(i, n + 1) bo[i].eb(i + 1); rep2(i, 1, n) ev[i].eb(i); rep(i, n) { for (auto &e : ev[i]) que.push(e); while (sz(que)) { auto now = que.top(); if (pre[i] >= now) { que.pop(); bo[now].eb(i + now); ev[i + now].eb(now); } else break; } } rep(i, n + 1) bo[i].eb(n + 1); Dual_Segment_Tree seg(n + 1, [](int a, int b) { return max(a, b); }, 0); rep(i, n) { int now = seg[i]; rep(j, sz(bo[i]) - 1) seg.apply(bo[i][j], bo[i][j + 1], now + max(0, (i - 1) * j - 1)); } cout << n - seg[n] << endl; }