// competitive-verifier: PROBLEM https://onlinejudge.u-aizu.ac.jp/courses/lesson/1/ALDS1/all/ALDS1_13_B
#include "../../../src/game/npuzzle_data/lib.hpp"
#include "../../../src/opt/astar/lib.hpp"
using namespace tifa_libs;
int main() {
std::cin.tie(nullptr)->std::ios::sync_with_stdio(false);
npuzzle_data start(3);
std::vector<u32> fin(9);
std::iota(begin(fin), end(fin) - 1, 1);
npuzzle_data::set_fin(3, fin);
npuzzle_data::limit = 100;
std::cin >> start;
std::cout << astar(start)->moves.size() << '\n';
return 0;
}
#line 1 "test/cpv/aizu-alds1/alds1_13_b.cpp"
// competitive-verifier: PROBLEM https://onlinejudge.u-aizu.ac.jp/courses/lesson/1/ALDS1/all/ALDS1_13_B
#line 2 "src/game/npuzzle_data/lib.hpp"
#line 2 "src/util/traits/others/lib.hpp"
// clang-format off
#line 2 "src/util/alias/others/lib.hpp"
#line 2 "src/util/consts/lib.hpp"
#line 2 "src/util/alias/num/lib.hpp"
#line 2 "src/util/util/lib.hpp"
// https://github.com/Tiphereth-A/CP-lib
#include <bits/extc++.h>
// clang-format off
namespace tifa_libs {
#define CEXP constexpr
#define CEXPE constexpr explicit
#define CR const&
#define CP const*
#define PC *const
#define CPC const*const
#define TPN typename
#define NE noexcept
#define CNE const noexcept
#define ND [[nodiscard]]
#define cT_(...) std::conditional_t<sizeof(__VA_ARGS__) <= sizeof(size_t) * 2, __VA_ARGS__, __VA_ARGS__ CR>
// NOLINTNEXTLINE(misc-const-correctness)
#define flt_(T, i, l, r, ...) for (T i = (l), i##e = (r)__VA_OPT__(, ) __VA_ARGS__; i < i##e; ++i)
#define retif_(cond, if_true, ...) if cond return if_true __VA_OPT__(; else return __VA_ARGS__)
#ifdef ONLINE_JUDGE
#undef assert
#define assert(x) 42
#endif
using namespace std::ranges;
using namespace std::literals;
template <class T>
CEXP T abs(T x) NE { retif_((x < 0), -x, x); }
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/num/lib.hpp"
// clang-format off
namespace tifa_libs {
#define mk0_(w, t) using w = t; using c##w = const t
#define mk_(w, t) mk0_(w, t); CEXP w operator""_##w(unsigned long long x) NE { return (w)x; }
mk_(i8, int8_t) mk_(u8, uint8_t) mk_(i16, int16_t) mk_(u16, uint16_t) mk_(i32, int32_t) mk_(u32, uint32_t) mk_(i64, int64_t) mk_(u64, uint64_t) mk_(isz, ssize_t) mk_(usz, size_t) mk_(chr, char) mk_(schr, signed char) mk_(uchr, unsigned char) mk_(sint, signed) mk_(uint, unsigned);
mk0_(i128, __int128_t); mk0_(u128, __uint128_t); mk0_(f32, float); mk0_(f64, double); mk0_(f128, long double);
#undef mk0_
#undef mk_
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/consts/lib.hpp"
// clang-format off
namespace tifa_libs {
using std::numbers::pi_v;
template <std::floating_point FP>
inline FP eps_v = std::sqrt(std::numeric_limits<FP>::epsilon());
template <std::floating_point FP>
CEXP void set_eps(FP v) NE { eps_v<FP> = v; }
CEXP u32 TIME = ((__TIME__[0] & 15) << 20) | ((__TIME__[1] & 15) << 16) | ((__TIME__[3] & 15) << 12) | ((__TIME__[4] & 15) << 8) | ((__TIME__[6] & 15) << 4) | (__TIME__[7] & 15);
CEXP auto STR2U16 = [] { std::array<u32, 65536> table{}; table.fill(-1_u32); flt_ (u32, i, 48, 58) flt_ (u32, j, 48, 58) table[i << 8 | j] = (j & 15) * 10 + (i & 15); return table; }();
inline const auto fn_0 = [](auto&&...) NE {};
inline const auto fn_is0 = [](auto x) NE { return x == 0; };
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/others/lib.hpp"
namespace tifa_libs {
template <class T>
struct chash {
CEXP static u64 C = u64(pi_v<f128> * 2e18) | 71;
CEXP u64 operator()(T x) CNE { return __builtin_bswap64(((u64)x ^ TIME) * C); }
};
// clang-format off
#define mk_(w, t) using w = t; using c##w = const t;
mk_(strn, std::string) mk_(strnv, std::string_view)
#undef mk_
template <class T> struct edge_t { T w; u32 u, v; CEXP auto operator<=>(edge_t CR) const = default; }; template <class T> using cedge_t = const edge_t<T>;
template <class T> struct pt3 { T _0, _1, _2; CEXP auto operator<=>(pt3 CR) const = default; }; template <class T> using cpt3 = const pt3<T>;
template <class T> struct pt4 { T _0, _1, _2, _3; CEXP auto operator<=>(pt4 CR) const = default; }; template <class T> using cpt4 = const pt4<T>;
#define mkT_(w, t, ...) template <class T> using w = t __VA_OPT__(, ) __VA_ARGS__; template <class T> using c##w = const t __VA_OPT__(, ) __VA_ARGS__;
mkT_(ptt, std::pair<T, T>) mkT_(alc, std::pmr::polymorphic_allocator<T>) mkT_(vec, std::vector<T>) mkT_(vvec, vec<vec<T>>) mkT_(v3ec, vvec<vec<T>>) mkT_(vecpt, vec<ptt<T>>) mkT_(vvecpt, vvec<ptt<T>>) mkT_(ptvec, ptt<vec<T>>) mkT_(ptvvec, ptt<vvec<T>>)
#undef mkT_
template <class T> using itl = std ::initializer_list<T>;
template <class T, usz ext = std::dynamic_extent> using spn = std::span<T const, ext>;
template <class T, usz N> using arr = std::array<T, N>; template <class T, usz N> using carr = std::array<const T, N>;
template <class U, class T> using vecp = vec<std::pair<U, T>>; template <class U, class T> using vvecp = vvec<std::pair<U, T>>;
template <class U, class T> using vvecp = vvec<std::pair<U, T>>; template <class U, class T> using vvvecp = vvec<vvec<std::pair<U, T>>>;
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class T, class C = std::less<T>> using set = __gnu_pbds::tree<T, __gnu_pbds::null_type, C>;
template <class K, class V, class C = std::less<K>> using map = __gnu_pbds::tree<K, V, C>;
// hset<u64> s({}, {}, {}, {}, {1<<16});
template <class T, class HF = chash<T>> using hset = __gnu_pbds::gp_hash_table<T, __gnu_pbds::null_type, HF>;
// hmap<u64, int> s({}, {}, {}, {}, {1<<16});
template <class K, class V, class HF = chash<K>> using hmap = __gnu_pbds::gp_hash_table<K, V, HF>;
#else
using std::set, std::map;
template <class T, class HF = chash<T>> using hset = std::unordered_set<T, HF>;
template <class K, class V, class HF = chash<K>> using hmap = std::unordered_map<K, V, HF>;
#endif
#ifdef PB_DS_PRIORITY_QUEUE_HPP
template <class T, class C = std::less<T>> using pq = __gnu_pbds::priority_queue<T, C>;
#else
template <class T, class C = std::less<T>> using pq = std::priority_queue<T, vec<T>, C>;
#endif
template <class T> using pqg = pq<T, std::greater<T>>;
// clang-format on
#define mk1_(V, A, T) using V##A = V<T>;
#define mk_(V, A, T) mk1_(V, A, T) mk1_(c##V, A, T)
#define mk(A, T) mk_(edge_t, A, T) mk_(ptt, A, T) mk_(pt3, A, T) mk_(pt4, A, T) mk_(vec, A, T) mk_(vvec, A, T) mk_(v3ec, A, T) mk_(vecpt, A, T) mk_(vvecpt, A, T) mk_(ptvec, A, T) mk_(ptvvec, A, T) mk1_(spn, A, T) mk1_(itl, A, T)
mk(b, bool) mk(c, chr) mk(i, i32) mk(u, u32) mk(ii, i64) mk(uu, u64) mk(t, isz) mk(z, usz) mk(f, f32) mk(d, f64) mk(s, strn);
#undef mk
#undef mk_
#undef mk1_
} // namespace tifa_libs
#line 4 "src/util/traits/others/lib.hpp"
namespace tifa_libs {
//! only for template without non-type argument
template <class, template <class...> class> CEXP bool specialized_from_v = false;
template <template <class...> class T, class... Args> CEXP bool specialized_from_v<T<Args...>, T> = true;
static_assert(specialized_from_v<vecu, std::vector>);
template <class T> concept container_c = common_range<T> && !std::is_array_v<std::remove_cvref_t<T>> && !std::same_as<std::remove_cvref_t<T>, strn> && !std::same_as<std::remove_cvref_t<T>, strnv>;
template <class T> concept istream_c = std::derived_from<T, std::istream> || std::derived_from<T, std::wistream> || requires(T is) { is.peek(); };
template <class T> concept ostream_c = std::derived_from<T, std::ostream> || std::derived_from<T, std::wostream> || requires(T os) { os.flush(); };
} // namespace tifa_libs
// clang-format on
#line 4 "src/game/npuzzle_data/lib.hpp"
namespace tifa_libs {
// n = k*k-1
class npuzzle_data {
static inline vecu fin_node, fin_pos;
static inline vvecu costs;
u32 k, p0{0}, cost_{0};
public:
static inline u32 limit = UINT32_MAX;
static CEXP void set_fin(u32 k, vecu CR fin) NE {
assert(fin.size() == k * k), fin_node = fin, fin_pos.resize(k * k);
flt_ (u32, i, 0, k * k) fin_pos[fin_node[i]] = i;
costs.resize(k * k, vecu(k * k));
flt_ (u32, p, 1, k * k)
flt_ (u32, q, 0, k * k) costs[p][q] = u32(abs(i32(p / k) - i32(q / k)) + abs(i32(p % k) - i32(q % k))) / 2 + (p != q);
}
vecu node;
strn moves;
CEXPE npuzzle_data(u32 k) NE : k{k}, node(k* k), moves() { assert(k < 65535); }
ND CEXP auto CR cost() CNE { return cost_; }
ND CEXP bool solved() CNE { return node == fin_node; }
ND CEXP vec<npuzzle_data> next() CNE {
cchr lst = moves.empty() ? ' ' : moves.back();
strn nxts;
if (p0 / k && lst != 'D') nxts += 'U';
if (p0 / k != k - 1 && lst != 'U') nxts += 'D';
if (p0 % k && lst != 'R') nxts += 'L';
if (p0 % k != k - 1 && lst != 'L') nxts += 'R';
vec<npuzzle_data> ans;
for (cchr d : nxts) {
auto nxt = *this;
if (nxt.move(d); nxt.cost_ <= limit) ans.push_back(nxt);
}
return ans;
}
CEXP void move(chr dir) NE {
moves.push_back(dir), ++cost_;
cu32 pre = p0;
switch (dir) {
case 'U': p0 -= k; break;
case 'D': p0 += k; break;
case 'L': --p0; break;
case 'R': ++p0; break;
}
cost_ -= costs[pre][fin_pos[node[pre]]] + costs[p0][fin_pos[node[p0]]];
cost_ += costs[pre][fin_pos[node[p0]]] + costs[p0][fin_pos[node[pre]]];
swap(node[pre], node[p0]);
}
CEXP auto operator<=>(npuzzle_data CR r) CNE { return node <=> r.node; }
CEXP bool operator==(npuzzle_data CR r) CNE { return std::is_eq(*this <=> r); }
friend auto& operator>>(istream_c auto& is, npuzzle_data& np) NE {
for (auto& i : np.node) is >> i;
np.p0 = u32(find(np.node, 0) - begin(np.node));
flt_ (u32, p, 0, (u32)np.node.size())
if (np.node[p]) np.cost_ += costs[p][fin_pos[np.node[p]]];
return is;
}
};
} // namespace tifa_libs
#line 2 "src/opt/astar/lib.hpp"
#line 4 "src/opt/astar/lib.hpp"
namespace tifa_libs {
template <class T>
requires requires(T x, T y) {
{ x.solved() } -> std::same_as<bool>;
{ x.next() } -> range;
x.cost() < y.cost();
x < y;
}
auto astar(T CR s) NE {
struct C {
CEXP bool operator()(cT_(T) a, cT_(T) b) CNE { return b.cost() < a.cost(); }
};
std::priority_queue<T, vec<T>, C> pq;
std::set<T> vis;
pq.push(s), vis.insert(s);
std::optional<T> ret;
while (!pq.empty()) {
T now = pq.top();
if (pq.pop(); now.solved()) {
ret.emplace(now);
return ret;
}
for (auto nxt = now.next(); auto i : nxt)
if (!vis.count(i)) pq.push(i), vis.insert(i);
}
return ret;
}
} // namespace tifa_libs
#line 4 "test/cpv/aizu-alds1/alds1_13_b.cpp"
using namespace tifa_libs;
int main() {
std::cin.tie(nullptr)->std::ios::sync_with_stdio(false);
npuzzle_data start(3);
std::vector<u32> fin(9);
std::iota(begin(fin), end(fin) - 1, 1);
npuzzle_data::set_fin(3, fin);
npuzzle_data::limit = 100;
std::cin >> start;
std::cout << astar(start)->moves.size() << '\n';
return 0;
}
test/cpv/aizu-alds1/alds1_13_b.cpp