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CompetitiveProgramming/src/bin/abc-343g.cc

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2024-09-14 01:34:43 +08:00
// #pragma GCC target("popcnt,lzcnt,abm,bmi,bmi2")
#pragma GCC optimize("Ofast")
/************* This code 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) remove_reference<decltype(container)>::type
/* type aliases */
#if LONG_LONG_MAX != INT64_MAX
using ll = int64_t;
using ull = uint64_t;
#else
using ll = long long;
using ull = unsigned long long;
#endif
using int128 = __int128_t;
using uint128 = __uint128_t;
using ld = long double;
using pii = pair<int, int>; using pil = pair<int, ll>; using pid = pair<int, ld>;
using pli = pair<ll, int>; using pll = pair<ll, ll>; using pld = pair<ll, ld>;
using pdi = pair<ld, int>; using pdl = pair<ld, ll>; using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>; using tiil = tuple<int, int, ll>; using tiid = tuple<int, int, ld>;
using tili = tuple<int, ll, int>; using till = tuple<int, ll, ll>; using tild = tuple<int, ll, ld>;
using tidi = tuple<int, ld, int>; using tidl = tuple<int, ld, ll>; using tidd = tuple<int, ld, ld>;
using tlii = tuple<ll, int, int>; using tlil = tuple<ll, int, ll>; using tlid = tuple<ll, int, ld>;
using tlli = tuple<ll, ll, int>; using tlll = tuple<ll, ll, ll>; using tlld = tuple<ll, ll, ld>;
using tldi = tuple<ll, ld, int>; using tldl = tuple<ll, ld, ll>; using tldd = tuple<ll, ld, ld>;
using tdii = tuple<ld, int, int>; using tdil = tuple<ld, int, ll>; using tdid = tuple<ld, int, ld>;
using tdli = tuple<ld, ll, int>; using tdll = tuple<ld, ll, ll>; using tdld = tuple<ld, ll, ld>;
using tddi = tuple<ld, ld, int>; using tddl = tuple<ld, ld, ll>; using tddd = tuple<ld, ld, ld>;
template <typename T> using max_heap = priority_queue<T>;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<>>;
template <typename T> using oi = ostream_iterator<T>;
template <typename T> using ii = istream_iterator<T>;
/* constants */
constexpr int INF = 0x3f3f3f3f;
constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL;
constexpr ll MDL = 1e9 + 7;
constexpr ll PRIME = 998'244'353;
constexpr ll MDL1 = 8784491;
constexpr ll MDL2 = PRIME;
constexpr int128 INT128_MAX = numeric_limits<int128>::max();
constexpr uint128 UINT128_MAX = numeric_limits<uint128>::max();
constexpr int128 INT128_MIN = numeric_limits<int128>::min();
constexpr uint128 UINT128_MIN = numeric_limits<uint128>::min();
/* random */
mt19937_64 rd(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
/* 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)) % (y))
/* fast pairs */
#define upair ull
#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1)))
#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(ll(p))))
#define i2(p) (ll(u2(p) << 32) >> 32)
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;)
/* hash */
struct safe_hash {
// https://codeforces.com/blog/entry/62393
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct pair_hash {
template <typename T, typename U>
size_t operator()(const pair<T, U>& a) const {
auto hash1 = safe_hash()(a.first);
auto hash2 = safe_hash()(a.second);
if (hash1 != hash2) {
return hash1 ^ hash2;
}
return hash1;
}
};
uniform_int_distribution<mt19937::result_type> dist(PRIME);
const size_t __array_hash_b = 31, __array_hash_mdl1 = dist(rd), __array_hash_mdl2 = dist(rd);
struct array_hash {
template <typename Sequence>
size_t operator()(const Sequence& arr) const {
size_t pw1 = 1, pw2 = 1;
size_t res1 = 0, res2 = 0;
for (auto&& x : arr) {
res1 = (res1 + x * pw1) % __array_hash_mdl1;
res2 = (res2 + x * pw2) % __array_hash_mdl2;
pw1 = (pw1 * __array_hash_b) % __array_hash_mdl1;
pw2 = (pw2 * __array_hash_b) % __array_hash_mdl2;
}
return res1 + res2;
}
};
/* build data structures */
#define faster(um) __AS_PROCEDURE((um).reserve(1024); (um).max_load_factor(0.25);)
#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> 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 edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__), ch[v].emplace_back(u, __VA_ARGS__);)
#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);)
#define Edgew(ch, u, v, ...) __AS_PROCEDURE(ch[u].emplace_back(v, __VA_ARGS__);)
template <typename T, typename Iterator> pair<size_t, map<T, size_t>> discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
map<T, size_t> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
template <typename T, typename Iterator> pair<size_t, unordered_map<T, size_t, safe_hash>> unordered_discretize(Iterator __first, Iterator __last) {
set<T> st(__first, __last);
size_t N = 0;
unordered_map<T, size_t, safe_hash> mp;
for (auto&& x : st) mp[x] = ++N;
return {N, mp};
}
/* io */
#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL))
template<typename T, typename U> istream& operator>>(istream& in, pair<T, U>& p) {
return in >> p.first >> p.second;
}
template<typename T, typename U> ostream& operator<<(ostream& out, const pair<T, U>& p) {
out << "{" << p.first << ", " << p.second << "}";
return out;
}
template<typename Char, typename Traits, typename Tuple, std::size_t... Index>
void print_tuple_impl(std::basic_ostream<Char, Traits>& os, const Tuple& t, std::index_sequence<Index...>) {
using swallow = int[]; // guaranties left to right order
(void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get<Index>(t)), 0)... };
}
template<typename Char, typename Traits, typename... Args>
decltype(auto) operator<<(std::basic_ostream<Char, Traits>& os, const std::tuple<Args...>& t) {
os << "{";
print_tuple_impl(os, t, std::index_sequence_for<Args...>{});
return os << "}";
}
template<typename T> ostream& operator<<(ostream& out, const vector<T>& vec) {
for (auto&& i : vec) out << i << ' ';
return out;
}
std::ostream& operator<<(std::ostream& dest, const int128& value) {
// https://stackoverflow.com/a/25115163/23881100
std::ostream::sentry s( dest );
if ( s ) {
uint128 tmp = value < 0 ? -value : value;
char buffer[ 128 ];
char* d = std::end( buffer );
do {
-- d;
*d = "0123456789"[ tmp % 10 ];
tmp /= 10;
} while ( tmp != 0 );
if ( value < 0 ) {
-- d;
*d = '-';
}
int len = std::end( buffer ) - d;
if ( dest.rdbuf()->sputn( d, len ) != len ) {
dest.setstate( std::ios_base::badbit );
}
}
return dest;
}
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 (auto& x : a) cin >> x;)
#define readvec1(type, a, n) __AS_PROCEDURE(vector<type> a((n) + 1); copy_n(ii<type>(cin), (n), a.begin() + 1);)
#define putvec(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec1(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, " ")); cout << endl;)
#define putvec_eol(a) __AS_PROCEDURE(copy(a.begin(), a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define putvec1_eol(a) __AS_PROCEDURE(copy(a.begin() + 1, a.end(), oi<__as_typeof(a)::value_type>(cout, "\n"));)
#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;)
#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;)
#define deb(...) debug(make_tuple(__VA_ARGS__))
/* 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();)
/* math */
template <typename return_t>
return_t qpow(ll b, ll p) {
if (b == 0 and p != 0) return 0;
if (p == 0) return 1;
return_t half = qpow<return_t>(b, p / 2);
if (p % 2 == 1) return half * half * b;
else return half * half;
}
#define comb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] / fact[k] / fact[(n) - (k)])
#define fastcomb(n, k) ((n) < 0 or (k) < 0 or (n) < (k) ? 0 : fact[n] * factrev[k] * factrev[(n) - (k)])
constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); }
void __exgcd(ll a, ll b, ll& x, ll& y) {
if (b == 0) {
x = 1, y = 0;
return;
}
__exgcd(b, a % b, y, x);
y -= a / b * x;
}
ll inverse(ll a, ll b) {
ll x, y;
__exgcd(a, b, x, y);
return mod(x, b);
}
vector<tuple<int, int, ll>> decompose(ll x) {
// return (factor, count, factor ** count)
vector<tuple<int, int, ll>> res;
for (int i = 2; i * i <= x; i++) {
if (x % i == 0) {
int cnt = 0;
ll pw = 1;
while (x % i == 0) ++cnt, x /= i, pw *= i;
res.emplace_back(i, cnt, pw);
}
}
if (x != 1) {
res.emplace_back(x, 1, x);
}
return res;
}
vector<pii> decompose_prime(int N) {
// return (factor, count)
vector<pii> result;
for (int i = 2; i * i <= N; i++) {
if (N % i == 0) {
int cnt = 0;
while (N % i == 0) N /= i, ++cnt;
result.emplace_back(i, cnt);
}
}
if (N != 1) {
result.emplace_back(N, 1);
}
return result;
}
/* string 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;
}
/* modular arithmetic */
template <ll mdl> struct MLL {
ll val;
MLL(ll v = 0) : val(mod(v, mdl)) {}
MLL(const MLL<mdl>& other) : val(other.val) {}
friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; }
friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; }
void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
};
template <ll mdl>
ostream& operator<<(ostream& out, const MLL<mdl>& num) {
return out << num.val;
}
template <ll mdl>
istream& operator>>(istream& in, MLL<mdl>& num) {
return in >> num.val;
}
// miscancellous
template <typename T, typename U>
bool chmax(T& lhs, const U& rhs) {
bool ret = lhs < rhs;
if (ret) {
lhs = rhs;
}
return ret;
}
template <typename T, typename U>
bool chmin(T& lhs, const U& rhs) {
bool ret = lhs > rhs;
if (ret) {
lhs = rhs;
}
return ret;
}
#define functor(func) ([&](auto&&... val) \
noexcept(noexcept(func(std::forward<decltype(val)>(val)...))) -> decltype(auto) \
{return func(std::forward<decltype(val)>(val)...);})
#define expr(ret, ...) ([&] (__VA_ARGS__) { return (ret); })
template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });
}
template <typename Func, typename RandomIt, typename Compare> void sort_by_key(RandomIt first, RandomIt last, Func extractor, Compare comp) {
std::sort(first, last, [&] (auto&& a, auto&& b) { return comp(extractor(a), extractor(b)); });
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip(Iterator_T a_first, Iterator_T a_last, Iterator_U b_first, Iterator_U b_last) {
vector<pair<T, U>> res;
auto a_it = a_first;
auto b_it = b_first;
for (; not (a_it == a_last) and not (b_it == b_last); ++a_it, ++b_it) {
res.emplace_back(*a_it, *b_it);
}
return res;
}
template <typename T, typename U, typename Iterator_T, typename Iterator_U>
vector<pair<T, U>> zip_n(Iterator_T a_first, Iterator_U b_first, size_t n) {
vector<pair<T, U>> res;
if (n > 0) {
res.emplace_back(*a_first, *b_first);
for (size_t i = 1; i != n; ++i) {
res.emplace_back(*++a_first, *++b_first);
}
}
return res;
}
template <typename T>
class ArithmeticIterator : bidirectional_iterator_tag {
public:
using difference_type = ptrdiff_t;
using value_type = T;
private:
value_type value;
public:
ArithmeticIterator(const T& value) : value(value) {}
value_type operator*() const { return value; }
ArithmeticIterator<T>& operator++() { ++value; return *this; }
ArithmeticIterator<T>& operator--() { --value; return *this; }
bool operator==(const ArithmeticIterator<T>& rhs) const { return value == rhs.value; }
};
template <typename T> vector<pair<int, T>> enumerate(const vector<T>& container) {
return zip<int, T>(ArithmeticIterator<int>(0), ArithmeticIterator<int>(INT_MAX), container.begin(), container.end());
}
#define initarray(init, N) (__initarray<decay<decltype(init)>::type, (N)>(init))
namespace detail {
template <typename T, std::size_t...Is>
constexpr std::array<T, sizeof...(Is)>
make_array(const T& value, std::index_sequence<Is...>) {
return {{(static_cast<void>(Is), value)...}};
}
}
template <typename T, std::size_t N>
constexpr std::array<T, N> __initarray(const T& value) {
return detail::make_array(value, std::make_index_sequence<N>());
}
/*******************************************************/
#define SINGLE_TEST_CASE
// #define DUMP_TEST_CASE 7219
// #define TOT_TEST_CASE 10000
void dump() {}
void dump_ignore() {}
void prep() {
}
static vector<MLL<MDL1>> power1;
static vector<MLL<MDL2>> power2;
static const ll b = rd();
template <typename _Tp>
struct hash_vec {
using hash_type = pll;
MLL<MDL1> hash1;
MLL<MDL2> hash2;
deque<_Tp> seq;
size_t size() {
return seq.size();
}
void push_back(const _Tp& x) {
hash1 = hash1 * b + x;
hash2 = hash2 * b + x;
seq.push_back(x);
}
void push_front(const _Tp& x) {
size_t length = size();
hash1 += x * power1[length];
hash2 += x * power2[length];
seq.push_front(x);
}
void pop_back() {
_Tp e = seq.back(); seq.pop_back();
hash1 = (hash1 - e) / b;
hash2 = (hash2 - e) / b;
}
void pop_front() {
_Tp e = seq.front(); seq.pop_front();
int length = seq.size();
hash1 -= e * power1[length];
hash2 -= e * power2[length];
}
void set(size_t pos, const _Tp& value) {
int length = seq.size();
int old_value = seq[pos];
hash1 += (value - old_value) * power1[length - 1 - pos];
hash2 += (value - old_value) * power2[length - 1 - pos];
seq[pos] = value;
}
const _Tp& operator[](size_t pos) {
return seq[pos];
}
hash_type hash() {
return {hash1.val, hash2.val};
}
void clear() {
hash1 = 0;
hash2 = 0;
seq.clear();
}
hash_vec(size_t maxn) {
clear();
MLL<MDL1> c1 = power1.size() ? power1.back() * b : 1;
MLL<MDL2> c2 = power2.size() ? power2.back() * b : 1;
for (int i = power1.size(); i < maxn; ++i) {
power1.push_back(c1);
power2.push_back(c2);
c1 *= b;
c2 *= b;
}
}
hash_vec(size_t maxn, const _Tp& init_value) : hash_vec(maxn) {
for (size_t i = 0; i != maxn; ++i) {
push_back(init_value);
}
}
};
struct range_hash {
vector<pair<MLL<MDL1>, MLL<MDL2>>> hp;
template <typename T>
range_hash(const T& vec) {
hp.emplace_back();
hash_vec<ll> hs(vec.size());
for (auto&& x : vec) {
hs.push_back(x);
hp.emplace_back(hs.hash());
}
}
/// query hash of subarray [l, r]. Index starts from 0.
pair<MLL<MDL1>, MLL<MDL2>> range_query(size_t l, size_t r) {
return {
(hp[r + 1].first - hp[l].first * power1[r + 1 - l]),
(hp[r + 1].second - hp[l].second * power2[r + 1 - l]),
};
}
};
// __attribute__((target("popcnt")))
void solve() {
read(int, n);
readvec(string, a, n);
unordered_set<string> oc;
for (int i = 0; i < n; ++i) {
if (oc.count(a[i])) continue;
bool del = 0;
for (int j = 0; j < n; ++j) {
if (i == j) continue;
if (a[j].find(a[i]) != string::npos and a[j].size() > a[i].size()) {
del = true;
break;
}
}
if (not del) {
oc.emplace(a[i]);
}
}
a = vector(oc.begin(), oc.end());
n = a.size();
vector common(n, vector<int>(n));
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
int x = a[i].size(), y = a[j].size();
hash_vec<char> left(200010), right(200010);
for (int k = 0; k < min(x, y); ++k) {
right.push_back(a[j][k]);
left.push_front(a[i][x - 1 - k]);
if (left.hash() == right.hash()) {
common[i][j] = k + 1;
}
}
}
}
// debug(common);
vector dp(1 << n, vector<int>(n, INF));
for (int i = 0; i < n; ++i) {
dp[1 << i][i] = a[i].size();
}
for (int mask = 1; mask < (1 << n); ++mask) {
for (int j = 0; j < n; ++j) {
if (not (mask >> j & 1)) continue;
for (int k = 0; k < n; ++k) {
if (j == k or not (mask >> k & 1)) continue;
chmin(dp[mask][j], dp[mask ^ 1 << j][k] + a[j].size() - common[k][j]);
}
}
}
cout << *min_element(dp[(1 << n) - 1].begin(), dp[(1 << n) - 1].end()) << '\n';
}
int main() {
#if __cplusplus < 201402L or defined(_MSC_VER) and not defined(__clang__)
assert(false && "incompatible compiler variant detected.");
#endif
untie;
prep();
#ifdef SINGLE_TEST_CASE
solve();
#else
read(int, t);
for (int i = 0; i < t; ++i) {
#ifdef DUMP_TEST_CASE
if (t != (TOT_TEST_CASE)) {
solve();
} else if (i + 1 == (DUMP_TEST_CASE)) {
dump();
} else {
dump_ignore();
}
#else
solve();
#endif
}
#endif
}