This commit is contained in:
arielherself 2024-01-21 12:16:52 +08:00
parent 97477a73db
commit b87efb67aa
10 changed files with 1724 additions and 17 deletions

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/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) decltype(container)::value_type
/* type aliases */
using ll = int64_t;
using ull = uint64_t;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ull MDL = 1e9 + 7;
constexpr ull PRIME = 998'244'353;
constexpr ull MDL1 = 825;
constexpr ull MDL2 = 87825;
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) (((x) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | ull(y))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(p)))
#define i2(p) (int(u2(p)))
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T> ostream& operator<<(ostream& out, vector<T> vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
void solve() {
read(int, n, q);
// for periodic prefixes, last denotes the position of its last period.
// for other prefixes, last denotes the position of its period part.
vector<int> last(n);
vector<int> per(n);
vector<pli> length(n);
vector<ll> num(n); // if the current op is append, then it stores the added number.
for (int i =0; i < n; ++i) {
read(ll, b, x);
if (b == 1) {
length[i] = {i ? (length[i - 1].first + 1) : 1, i};
num[i] = x;
if (i) {
if (per[i-1]) last[i] = i - 1;
else last[i] = last[i-1];
} else {
last[i] = i;
}
per[i] = 0;
} else {
ll prev_len = length[i-1].first;
if (x >= LLONG_MAX / prev_len) {
length[i] = {1e18, i};
} else {
length[i] = {min(ll(1e18), prev_len * (x + 1)), i};
}
if (per[i-1]) last[i] = last[i-1];
else last[i] = i - 1;
per[i] = 1;
}
}
while (q--) {
read(ll, k);
int i = lower_bound(length.begin(), length.end(), make_pair(k, 0))->second;
loop {
if (i == 0) {
cout << num[0] << ' ';
break;
}
ll curr_len = length[last[i]].first;
if (per[i]) {
k = (k - 1) % curr_len + 1;
i = last[i];
} else {
if (k > curr_len) {
cout << num[last[i] + k - curr_len] << ' ';
break;
} else {
i = last[i];
}
}
}
}
cout << endl;
}
int main() {
read(int, t);
while (t--) solve();
}

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/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) decltype(container)::value_type
/* type aliases */
using ll = int64_t;
using ull = uint64_t;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ull MDL = 1e9 + 7;
constexpr ull PRIME = 998'244'353;
constexpr ull MDL1 = 825;
constexpr ull MDL2 = 87825;
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) (((x) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | ull(y))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(p)))
#define i2(p) (int(u2(p)))
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << x << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
inline unsigned mask(int k) {
return (1 << k) - 1;
}
void solve() {
read(ull, x);
x -=1 ;
int prev_bit = 0;
int combo = 0;
vector<int>red(61);
int len = 0, tot = 0;
int curr = 0;
while (x >> curr) {
++len; ++curr;
int bit = (x >> (curr - 1)) & 1;
if (bit == 0) {
combo = 1;
} else {
if (combo) {
len = curr - 1;
red[prev_bit] = 1; // TODO
tot += len - prev_bit;
x ^= mask(len) - mask(prev_bit);
combo = 1;
}
tot += 1;
prev_bit = len;
}
}
cout << tot << endl;
for (int i = len - 1; i >= 0; --i) {
cout << len - i << ' ';
if (red[i]) cout << 0 << ' ';
}
cout << endl;
}
int main() {
read(int, t);
while (t--) solve();
}

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/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) decltype(container)::value_type
/* type aliases */
using ll = int64_t;
using ull = uint64_t;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ull MDL = 1e9 + 7;
constexpr ull PRIME = 998'244'353;
constexpr ull MDL1 = 825;
constexpr ull MDL2 = 87825;
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) (((x) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | ull(y))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(p)))
#define i2(p) (int(u2(p)))
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T> ostream& operator<<(ostream& out, vector<T> vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
class StreamChecker {
private:
vector<vector<int>> trie;
vector<int> tag;
int state;
public:
StreamChecker(vector<string>& ss) {
state = 0;
int n = ss.size();
trie.push_back(vector<int>(26));
tag.push_back(0);
int last = 0;
// build trie for ss
for (int i = 0; i < n; ++i) {
auto&& s = ss[i];
int curr = 0;
for (auto&& c : s) {
int x = c - 'a';
if (!trie[curr][x])
trie[curr][x] = ++last,
tag.push_back(0),
trie.push_back(vector<int>(26));
curr = trie[curr][x];
}
// cout << "state " << curr << " is for " << s << endl;
tag[curr] = 1;
}
// build fail
vector<int> fail(last + 1);
vector<vector<int>> suc(last + 1);
deque<int> dq;
for (int i = 0; i < 26; ++i) {
if (trie[0][i]) dq.push_back(trie[0][i]), suc[0].push_back(trie[0][i]);
}
while (dq.size()) {
int c = dq.front(); dq.pop_front();
for (int i = 0; i < 26; ++i) {
if (trie[c][i]) {
fail[trie[c][i]] = trie[fail[c]][i];
suc[trie[fail[c]][i]].push_back(trie[c][i]);
dq.push_back(trie[c][i]);
} else {
trie[c][i] = trie[fail[c]][i];
}
}
}
auto dfs = [&] (auto dfs, int curr, int prev_tag) -> void {
if (prev_tag | tag[curr]) {
tag[curr] = 1;
}
for (auto&& c : suc[curr]) dfs(dfs, c, prev_tag | tag[curr]);
};
dfs(dfs, 0, 0);
}
bool query(char letter) {
state = trie[state][letter - 'a'];
return tag[state];
}
};
/**
* Your StreamChecker object will be instantiated and called as such:
* StreamChecker* obj = new StreamChecker(words);
* bool param_1 = obj->query(letter);
*/

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/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) decltype(container)::value_type
/* type aliases */
using ll = int64_t;
using ull = uint64_t;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ull MDL = 1e9 + 7;
constexpr ull PRIME = 998'244'353;
constexpr ull MDL1 = 825;
constexpr ull MDL2 = 87825;
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) (((x) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | ull(y))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(p)))
#define i2(p) (int(u2(p)))
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T> ostream& operator<<(ostream& out, vector<T> vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
constexpr int N = 1e6 + 10;
ll s[N];
ll n, sa[N], rk[N], oldrk[N << 1], id[N], key1[N], cnt[N], height[N];
bool cmp(ll x, ll y, ll w) {
return oldrk[x] == oldrk[y] && oldrk[x + w] == oldrk[y + w];
}
void calc_sa() {
ll i, m = N - 1, p, w;
for (i = 1; i <= n; ++i) ++cnt[rk[i] = s[i]];
for (i = 1; i <= m; ++i) cnt[i] += cnt[i - 1];
for (i = n; i >= 1; --i) sa[cnt[rk[i]]--] = i;
for (w = 1;; w <<= 1, m = p) {
for (p = 0, i = n; i > n - w; --i) id[++p] = i;
for (i = 1; i <= n; ++i)
if (sa[i] > w) id[++p] = sa[i] - w;
memset(cnt, 0, sizeof(cnt));
for (i = 1; i <= n; ++i) ++cnt[key1[i] = rk[id[i]]];
for (i = 1; i <= m; ++i) cnt[i] += cnt[i - 1];
for (i = n; i >= 1; --i) sa[cnt[key1[i]]--] = id[i];
memcpy(oldrk + 1, rk + 1, n * sizeof(ll));
for (p = 0, i = 1; i <= n; ++i)
rk[sa[i]] = cmp(sa[i], sa[i - 1], w) ? p : ++p;
if (p == n) {
break;
}
}
}
void calc_height() {
int i, k;
for (i = 1, k = 0; i <= n; ++i) {
if (rk[i] == 0) continue;
if (k) --k;
while (s[i + k] == s[sa[rk[i] - 1] + k]) ++k;
height[rk[i]] = k;
}
}
ll d[4*N];
void build(int s,int t,int p){ // root p, range [s,t]
// debug(s), debug(t), debug(p);
if(s==t){
d[p]=height[s];
return;
}
int m=s+(t-s>>1);
build(s,m,p*2),build(m+1,t,p*2+1);
d[p]=min(d[p*2], d[p*2+1]);
}
ll getmin(int s,int t,int p,int l,int r){
if (l > r) return LLONG_MAX;
if(l<=s&&t<=r)return d[p];
int m=s+(t-s>>1);
ll sum=LLONG_MAX;
if(l<=m)sum=min(sum, getmin(s,m,p*2,l,r));
if(r>m) sum=min(sum, getmin(m+1,t,p*2+1,l,r));
return sum;
}
int main() {
untie;
cin >> n;
read(int, k);
for (int i = 1; i <= n; ++i) cin >> s[i];
calc_sa(), calc_height();
build(1, n, 1);
int l = 0, r = n;
auto binary_search = [&] (int start, int length) {
int l = start, r = n;
while (l < r) {
int mid = l + r + 1 >> 1;
if (getmin(1, n, 1, start + 1, mid) < length) {
r = mid - 1;
} else {
l = mid;
}
}
return l;
};
// l = 2, r = 4;
// for (int i = 1; i <= n; ++i) cerr << height[i] << " \n"[i == n];
// debug(rk[2]), debug(rk[4]);
// for (int start = 1; start <= n; ++start)
// for (int i = start; i <= n; ++i) cerr << getmin(1, n, 1, start, i) << " \n"[i == n];
while (l < r) {
int curr_len = l + r + 1 >> 1;
ll match = 0;
for (int i = 1; i <= n; ++i) {
ll idx = binary_search(i, curr_len);
match = max(match, idx - i + 1);
}
// debug(curr_len), debug(match);
if (match < k) {
// cerr << curr_len << " not ok\n";
r = curr_len - 1;
} else {
l = curr_len;
}
}
cout << l << endl;
}

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/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) decltype(container)::value_type
/* type aliases */
using ll = int64_t;
using ull = uint64_t;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ull MDL = 1e9 + 7;
constexpr ull PRIME = 998'244'353;
constexpr ull MDL1 = 825;
constexpr ull MDL2 = 87825;
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) (((x) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | ull(y))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(p)))
#define i2(p) (int(u2(p)))
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T> ostream& operator<<(ostream& out, vector<T> vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
void solve(vector<string> ss, string t) {
vector<vector<int>> trie(1, vector<int>(26));
vector<int> tag(1);
int last = 0;
int n = ss.size();
for (int i = 0; i < n; ++i) {
auto&& s = ss[i];
int curr = 0;
for (auto&& c : s) {
int x = c - 'a';
if (!trie[curr][x])
trie[curr][x] = ++last,
tag.push_back({}),
trie.push_back(vector<int>(26));
curr = trie[curr][x];
}
tag[curr] += 1;
}
vector<int> fail(last + 1);
vector<vector<int>> suc(last + 1);
deque<pair<int, int>> dq;
for (int i = 0; i < 26; ++i) {
if (trie[0][i]) dq.emplace_back(trie[0][i], trie[0][i]), suc[0].push_back(trie[0][i]);
}
while (dq.size()) {
popfront(dq, c, rt);
for (int i = 0; i < 26; ++i) {
if (trie[c][i]) {
fail[trie[c][i]] = trie[fail[c]][i];
suc[trie[fail[c]][i]].push_back(trie[c][i]);
dq.emplace_back(trie[c][i], rt);
} else {
trie[c][i] = trie[fail[c]][i];
}
}
}
vector<int> oc(last + 1);
int curr = 0;
for (auto&& c : t) {
int x = c - 'a';
if (!trie[curr][x]) curr = fail[curr];
curr = trie[curr][x];
if (tag[curr]) {
oc[curr] += 1;
}
}
int res = 0;
// debug(oc);
auto dfs = [&] (auto dfs, int cur) -> bool {
int has = oc[cur];
for (auto&& c : suc[cur]) {
has |= dfs(dfs, c);
}
if (has) {
res += tag[cur];
}
// cerr << "cur = " << cur << ", has = " << has << endl;
return has && tag[cur];
};
int rtq = dfs(dfs, 0);
cout << res - rtq << endl;
}
int main() {
read(int, n);
readvec(string, ss, n);
read(string, t);
solve(ss, t);
}

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/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) decltype(container)::value_type
/* type aliases */
using ll = int64_t;
using ull = uint64_t;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ull MDL = 1e9 + 7;
constexpr ull PRIME = 998'244'353;
constexpr ull MDL1 = 825;
constexpr ull MDL2 = 87825;
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) (((x) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | ull(y))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(p)))
#define i2(p) (int(u2(p)))
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T> ostream& operator<<(ostream& out, vector<T> vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
void solve(vector<string> ss, string t) {
int n = ss.size();
vector<vector<int>> trie(1, vector<int>(26));
vector<int> tag(1);
vector<int> id(1);
vector<int> alias(n, -1);
int last = 0;
// build trie for ss
for (int i = 0; i < n; ++i) {
auto&& s = ss[i];
int curr = 0;
for (auto&& c : s) {
int x = c - 'a';
if (!trie[curr][x])
trie[curr][x] = ++last,
tag.push_back({}),
id.push_back({}),
trie.push_back(vector<int>(26));
curr = trie[curr][x];
}
if (!tag[curr]) id[curr] = i;
else alias[i] = id[curr];
tag[curr] = 1;
}
// build fail
vector<int> fail(last + 1);
vector<vector<int>> suc(last + 1);
deque<pair<int, int>> dq;
for (int i = 0; i < 26; ++i) {
if (trie[0][i]) dq.emplace_back(trie[0][i], trie[0][i]), suc[0].push_back(trie[0][i]);
}
while (dq.size()) {
popfront(dq, c, rt);
for (int i = 0; i < 26; ++i) {
if (trie[c][i]) {
fail[trie[c][i]] = trie[fail[c]][i];
suc[trie[fail[c]][i]].push_back(trie[c][i]);
dq.emplace_back(trie[c][i], rt);
} else {
trie[c][i] = trie[fail[c]][i];
}
}
}
// match t
vector<int> oc(last + 1);
int curr = 0;
for (auto&& c : t) {
int x = c - 'a';
if (!trie[curr][x]) curr = fail[curr];
curr = trie[curr][x];
oc[curr] += 1;
}
// collect result
vector<int> res(n);
auto dfs = [&] (auto dfs, int cur) -> int {
int cnt = oc[cur];
for (auto&& c : suc[cur]) {
cnt += dfs(dfs, c);
}
if (cnt && tag[cur]) {
res[id[cur]] += cnt;
}
return cnt;
};
dfs(dfs, 0);
for (int i = 0; i < n; ++i) {
if (alias[i] != -1) cout << res[alias[i]];
else cout << res[i];
cout << endl;
}
}
int main() {
read(int, n);
readvec(string, ss, n);
read(string, t);
solve(ss, t);
}

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@ -88,8 +88,12 @@ template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << x << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
template<typename T> ostream& operator<<(ostream& out, vector<T> vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
@ -136,25 +140,124 @@ vector<int> kmp(string s, string t) { // find all t in s
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
int main() {
read(string, s);
int n = s.length();
string rev(s.rbegin(), s.rend());
auto translate = [&] (int i) {return n - i - 1;};
auto z = calc_z(s);
auto pi = calc_next(rev);
int res = 0;
for (int i = 1; i < n - 1; ++i) {
int suf = pi[translate(i)];
if (suf > 0 && suf <= z[i]) {
res = max(res, suf);
constexpr int N = 1e6 + 10;
ll s[N];
ll n, sa[N], rk[N], oldrk[N << 1], id[N], key1[N], cnt[N], height[N];
bool cmp(ll x, ll y, ll w) {
return oldrk[x] == oldrk[y] && oldrk[x + w] == oldrk[y + w];
}
void calc_sa() {
ll i, m = N - 1, p, w;
for (i = 1; i <= n; ++i) ++cnt[rk[i] = s[i]];
for (i = 1; i <= m; ++i) cnt[i] += cnt[i - 1];
for (i = n; i >= 1; --i) sa[cnt[rk[i]]--] = i;
for (w = 1;; w <<= 1, m = p) {
for (p = 0, i = n; i > n - w; --i) id[++p] = i;
for (i = 1; i <= n; ++i)
if (sa[i] > w) id[++p] = sa[i] - w;
memset(cnt, 0, sizeof(cnt));
for (i = 1; i <= n; ++i) ++cnt[key1[i] = rk[id[i]]];
for (i = 1; i <= m; ++i) cnt[i] += cnt[i - 1];
for (i = n; i >= 1; --i) sa[cnt[key1[i]]--] = id[i];
memcpy(oldrk + 1, rk + 1, n * sizeof(ll));
for (p = 0, i = 1; i <= n; ++i)
rk[sa[i]] = cmp(sa[i], sa[i - 1], w) ? p : ++p;
if (p == n) {
break;
}
}
if (res) {
cout << s.substr(0, res);
} else {
cout << "Just a legend";
}
}
void calc_height() {
int i, k;
for (i = 1, k = 0; i <= n; ++i) {
if (rk[i] == 0) continue;
if (k) --k;
while (s[i + k] == s[sa[rk[i] - 1] + k]) ++k;
height[rk[i]] = k;
}
}
ll d[4*N];
void build(int s,int t,int p){ // root p, range [s,t]
// debug(s), debug(t), debug(p);
if(s==t){
d[p]=height[s];
return;
}
int m=s+(t-s>>1);
build(s,m,p*2),build(m+1,t,p*2+1);
d[p]=min(d[p*2], d[p*2+1]);
}
ll getmin(int s,int t,int p,int l,int r){
if (l > r) return LLONG_MAX;
if(l<=s&&t<=r)return d[p];
int m=s+(t-s>>1);
ll sum=LLONG_MAX;
if(l<=m)sum=min(sum, getmin(s,m,p*2,l,r));
if(r>m) sum=min(sum, getmin(m+1,t,p*2+1,l,r));
return sum;
}
int main() {
untie;
cin >> n;
read(int, k);
for (int i = 1; i <= n; ++i) cin >> s[i];
calc_sa(), calc_height();
build(1, n, 1);
int l = 0, r = n;
auto binary_search = [&] (int start, int length) {
int l = start, r = n;
while (l < r) {
int mid = l + r + 1 >> 1;
if (getmin(1, n, 1, start + 1, mid) < length) {
r = mid - 1;
} else {
l = mid;
}
}
return l;
};
// l = 2, r = 4;
// for (int i = 1; i <= n; ++i) cerr << height[i] << " \n"[i == n];
// debug(rk[2]), debug(rk[4]);
// for (int start = 1; start <= n; ++start)
// for (int i = start; i <= n; ++i) cerr << getmin(1, n, 1, start, i) << " \n"[i == n];
while (l < r) {
int curr_len = l + r + 1 >> 1;
ll match = 0;
for (int i = 1; i <= n; ++i) {
ll idx = binary_search(i, curr_len);
match = max(match, idx - i + 1);
}
// debug(curr_len), debug(match);
if (match < k) {
// cerr << curr_len << " not ok\n";
r = curr_len - 1;
} else {
l = curr_len;
}
}
cout << l << endl;
}

40
src/bin/test1.cc Normal file
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@ -0,0 +1,40 @@
#include <cstdio>
int main() {
int n;
scanf("%d", &n);
printf("%d\n", n - 1);
fflush(stdout);
for (int i = 0; i < n - 1; ++i) {
printf("%d ", n - 1 - i);
for (int j = i + 1; j <= n - 1; ++j) {
printf("%d", j);
if (j == n - 1) printf("\n"), fflush(stdout);
else printf(" ");
}
}
char* s = new char[n - 1];
scanf("%s", s);
for (int i = 0; i < n - 1; ++i) {
if (i == n - 2) {
if (s[i] == '1') {
delete[] s;
printf("%d\n", i + 1);
fflush(stdout);
return 0;
}
} else {
if (s[i] == '1' && s[i+1] == '0') {
delete[] s;
printf("%d\n", i + 1);
fflush(stdout);
return 0;
}
}
}
delete[] s;
printf("%d\n", n);
fflush(stdout);
return 0;
}

157
src/bin/testget.cc Normal file
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@ -0,0 +1,157 @@
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
/* macro helpers */
#define __NARGS(...) std::tuple_size<decltype(std::make_tuple(__VA_ARGS__))>::value
#define __DECOMPOSE_S(a, x) auto x = a;
#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a;
constexpr void __() {}
#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __()
#define __as_typeof(container) decltype(container)::value_type
/* type aliases */
using ll = int64_t;
using ull = uint64_t;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ull MDL = 1e9 + 7;
constexpr ull PRIME = 998'244'353;
constexpr ull MDL1 = 825;
constexpr ull MDL2 = 87825;
/* bit-wise operations */
#define lowbit(x) ((x) & -(x))
#define popcount(x) (__builtin_popcountll(ll(x)))
#define parity(x) (__builtin_parityll(ll(x)))
#define msp(x) (63LL - __builtin_clzll(ll(x)))
#define lsp(x) (__builtin_ctzll(ll(x)))
/* arithmetic operations */
#define mod(x, y) (((x) + (y)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | ull(y))
#define u1(p) ((p) >> 32)
#define u2(p) ((p) & ((1ULL << 32) - 1))
#define ult std::less<upair>
#define ugt std::greater<upair>
#define ipair ull
#define imake(x, y) (umake(x, y))
#define i1(p) (int(u1(p)))
#define i2(p) (int(u2(p)))
struct ilt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) < i2(b);
else return i1(a) < i1(b);
}
};
struct igt {
bool operator()(const ipair& a, const ipair& b) const {
if (i1(a) == i1(b)) return i2(a) > i2(b);
else return i1(a) > i1(b);
}
};
/* conditions */
#define loop while (1)
#define if_or(var, val) if (!(var == val)) var = val; else
#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;)
#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;)
/* build data structures */
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t> to; for (auto&& x : from) ++to[x];)
#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];)
#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);)
#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};)
#define adj(ch, n) __AS_PROCEDURE(vector<vector<int>> ch((n) + 1);)
#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T> void __read(T& x) { cin >> x; }
template<typename T, typename... U> void __read(T& x, U&... args) { cin >> x; __read(args...); }
#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);)
#define readvec(type, a, n) __AS_PROCEDURE(vector<type> a(n); for (int i = 0; i < (n); ++i) cin >> a[i];)
#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << x << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
/* pops */
#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();)
#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();)
#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();)
/* algorithms */
vector<int> calc_next(string t) { // pi function of t
int n = (int)t.length();
vector<int> pi(n);
for (int i = 1; i < n; i++) {
int j = pi[i - 1];
while (j > 0 && t[i] != t[j]) j = pi[j - 1];
if (t[i] == t[j]) j++;
pi[i] = j;
}
return pi;
}
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
vector<int> kmp(string s, string t) { // find all t in s
string cur = t + '#' + s;
int sz1 = s.size(), sz2 = t.size();
vector<int> v;
vector<int> lps = calc_next(cur);
for (int i = sz2 + 1; i <= sz1 + sz2; i++) {
if (lps[i] == sz2) v.push_back(i - 2 * sz2);
}
return v;
}
int period(string s) { // find the length of shortest recurring period
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
return i;
}
}
return n;
}
/////////////////////////////////////////////////////////
int main() {
constexpr int n = 3e5;
cout << 1 << ' ' << n << endl;
for (int i = 0; i < n; ++i) {
cout << 1 << ' ';
}
}

51
src/bin/uva-455.cc Normal file
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@ -0,0 +1,51 @@
/////////////////////////////////////////////////////////
/**
* Useful Macros
* by subcrip
* (requires C++17)
*/
#include<bits/stdc++.h>
using namespace std;
vector<int> calc_z(string t) { // z function of t
int m = t.length();
vector<int> z;
z.push_back(m);
pair<int, int> prev = {1, -1};
for (int i = 1; i < m; ++i) {
if (z[i - prev.first] + i <= prev.second) {
z.push_back(z[i - prev.first]);
} else {
int j = max(i, prev.second + 1);
while (j < m && t[j] == t[j - i]) ++j;
z.push_back(j - i);
prev = {i, j - 1};
}
}
return z;
}
/////////////////////////////////////////////////////////
int q = 0;
void solve() {
if (q) cout << endl;
q = 1;
string s; cin >> s;
int n = s.length();
auto z = calc_z(s);
for (int i = 1; i <= n / 2; ++i) {
if (n % i == 0 && z[i] == n - i) {
cout << i << endl;
return;
}
}
cout << n << endl;
}
int main() {
int t; cin >> t;
while (t--) solve();
}