結果
問題 | No.5007 Steiner Space Travel |
ユーザー | bowwowforeach |
提出日時 | 2022-07-31 19:58:55 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 985 ms / 1,000 ms |
コード長 | 43,711 bytes |
コンパイル時間 | 4,661 ms |
実行使用メモリ | 5,160 KB |
スコア | 8,985,994 |
最終ジャッジ日時 | 2022-07-31 19:59:32 |
合計ジャッジ時間 | 37,015 ms |
ジャッジサーバーID (参考情報) |
judge14 / judge11 |
純コード判定しない問題か言語 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 984 ms
4,904 KB |
testcase_01 | AC | 985 ms
5,156 KB |
testcase_02 | AC | 984 ms
5,156 KB |
testcase_03 | AC | 984 ms
4,904 KB |
testcase_04 | AC | 984 ms
4,900 KB |
testcase_05 | AC | 983 ms
4,904 KB |
testcase_06 | AC | 984 ms
4,904 KB |
testcase_07 | AC | 983 ms
4,900 KB |
testcase_08 | AC | 984 ms
4,904 KB |
testcase_09 | AC | 985 ms
4,904 KB |
testcase_10 | AC | 984 ms
5,156 KB |
testcase_11 | AC | 985 ms
4,900 KB |
testcase_12 | AC | 984 ms
4,904 KB |
testcase_13 | AC | 985 ms
3,972 KB |
testcase_14 | AC | 984 ms
4,904 KB |
testcase_15 | AC | 984 ms
5,156 KB |
testcase_16 | AC | 983 ms
4,904 KB |
testcase_17 | AC | 984 ms
4,136 KB |
testcase_18 | AC | 984 ms
5,160 KB |
testcase_19 | AC | 985 ms
5,160 KB |
testcase_20 | AC | 984 ms
4,900 KB |
testcase_21 | AC | 984 ms
4,900 KB |
testcase_22 | AC | 984 ms
4,900 KB |
testcase_23 | AC | 985 ms
4,904 KB |
testcase_24 | AC | 984 ms
5,160 KB |
testcase_25 | AC | 984 ms
4,904 KB |
testcase_26 | AC | 984 ms
4,900 KB |
testcase_27 | AC | 983 ms
5,160 KB |
testcase_28 | AC | 984 ms
5,156 KB |
testcase_29 | AC | 984 ms
4,900 KB |
ソースコード
#define CODETEST 0 #define OPTUNE 0 #define PERFORMANCE 0 #define EVAL 0 #define TIME_LIMIT (980) #define TIME_LIMIT_US (TIME_LIMIT * 1000) #define NOT_SUBMIT 0 #define VALIDATION 0 #define IO_FILE 0 #define OUTPUT_INFO 0 #define OUTPUT_FINAL_INFO 1 #define OUTPUT_LOG 0 #define OUTPUT_VISUAL 0 #define FIX_RESULT 0 #ifndef _MSC_VER #pragma GCC target ("avx2") #pragma GCC optimize "O3,omit-frame-pointer,inline" #pragma GCC optimize ("unroll-loops") #pragma GCC diagnostic ignored "-Wunused-parameter" #pragma GCC diagnostic ignored "-Wsign-compare" #pragma GCC diagnostic ignored "-Wunused-variable" #endif #define _USE_MATH_DEFINES #include <bits/stdc++.h> using namespace std; #define FOR(i, s, e) for (int i = int(s); i < int(e); ++i) #define RFOR(i, s, e) for (int i = int(e) - 1; i >= int(s); --i) #define REP(i, n) for (int i = 0, i##_size = int(n); i < i##_size; ++i) #define RREP(i, n) for (int i = int(n) - 1; i >= 0; --i) #define ALL(x) (x).begin(),(x).end() #define rep(i, n) for (int i = 0, i##_size = int(n); i < i##_size; ++i) #define rrep(i, n) for (int i = int(n) - 1; i >= 0; --i) #define all(x) (x).begin(),(x).end() template <class T> inline void chmin(T& a, T b) { if (b < a) { a = b; } } template <class T> inline void chmax(T& a, T b) { if (a < b) { a = b; } } template <class T> inline constexpr T square(T v) { return v * v; } #include <cstdint> using u8 = uint8_t; using u16 = uint16_t; using u32 = uint32_t; using u64 = uint64_t; using s8 = int8_t; using s16 = int16_t; using s32 = int32_t; using s64 = int64_t; using TimePoint = chrono::high_resolution_clock::time_point; struct ChronoTimer { private: TimePoint startTime_; TimePoint endTime_; public: inline void Init() { startTime_ = chrono::high_resolution_clock::now(); } inline void Start(int limit) { endTime_ = startTime_ + chrono::milliseconds(limit); } inline void StartMs(int limit) { endTime_ = startTime_ + chrono::milliseconds(limit); } inline void StartUs(int limit) { endTime_ = startTime_ + chrono::microseconds(limit); } inline void Join() { } inline bool IsOver() const { return chrono::high_resolution_clock::now() >= endTime_; } inline int ElapseTimeMs() const { return (int)chrono::duration_cast<chrono::milliseconds>(chrono::high_resolution_clock::now() - startTime_).count(); } inline int ElapseTimeUs() const { return (int)chrono::duration_cast<chrono::microseconds>(chrono::high_resolution_clock::now() - startTime_).count(); } inline int LeftToUS(const TimePoint& limit) const { return (int)chrono::duration_cast<chrono::microseconds>(limit - chrono::high_resolution_clock::now()).count(); } inline double NowRate() const { return (chrono::high_resolution_clock::now() - startTime_).count() / (double)(endTime_ - startTime_).count(); } inline TimePoint Now() const { return chrono::high_resolution_clock::now(); } inline TimePoint EndTime() const { return endTime_; } TimePoint GetLimitTimePointUs(int limit) const { return startTime_ + chrono::microseconds(limit); } }; ChronoTimer timer; template <class T> void InstanceRun(int argc, const char* argv[]) { timer.Init(); T* m = new T; m->Run(argc, argv); quick_exit(0); } struct Main; signed main(int argc, const char* argv[]) { cin.tie(0); ios::sync_with_stdio(0); InstanceRun<Main>(argc, argv); } #define VALIDATE_ABORT() #define VALIDATE_ASSERT(exp) #define VABORT() VALIDATE_ABORT() #define VASSERT(exp) VALIDATE_ASSERT(exp) template <class A, class B> struct pr { union { A a; A key; A first; A x; }; union { B b; B value; B second; B y; }; bool operator == (pr const& r) const { return a == r.a && b == r.b; } bool operator != (pr const& r) const { return !((*this) == r); } bool operator < (pr const& r) const { if (a == r.a) { return b < r.b; } return a < r.a; } bool operator > (pr const& r) const { return r < (*this); } pr& operator += (pr const& v) { a += v.a; b += v.b; return *this; } pr& operator -= (pr const& v) { a -= v.a; b -= v.b; return *this; } template <class C, class D> auto operator + (pr<C, D> const& v) const { return pr<decltype(a + v.a), decltype(b + v.b)>{ a + v.a, b + v.b }; } template <class C, class D> auto operator - (pr<C, D> const& v) const { return pr<decltype(a - v.a), decltype(b - v.b)>{ a - v.a, b - v.b }; } template <class C, class D> explicit operator pr<C, D>() const { return { C(a), D(b) }; } template <class T> auto operator * (T const& v) const -> pr<decltype(x * v), decltype(y * v)> { return { x * v, y * v }; } template <class T> auto operator / (T const& v) const -> pr<decltype(x / v), decltype(y / v)> { return { x / v, y / v }; } template <class T> pr& operator *= (T const& v) { x *= v; y *= v; return *this; } template <class T> pr& operator /= (T const& v) { x /= v; y /= v; return *this; } pr operator -() const { return pr{ -x, -y }; } void flip() { swap(x, y); } friend istream& operator>>(istream& is, pr& p) { is >> p.a >> p.b; return is; } friend ostream& operator<<(ostream& os, pr const& p) { os << p.a << " " << p.b; return os; } template <size_t I> auto get() const { if constexpr (I == 0) { return x; } else if constexpr (I == 1) { return y; } } }; using pint = pr<int, int>; using pdouble = pr<double, double>; static_assert(is_pod<pint>::value, "not pod"); template <class A, class B> struct tuple_size<pr<A, B>> : integral_constant<size_t, 2> {}; template <class A, class B> struct tuple_element<0, pr<A, B>> { using type = A; }; template <class A, class B> struct tuple_element<1, pr<A, B>> { using type = B; }; static pint round(const pdouble& d) { return pint{ (int)round(d.x), (int)round(d.y) }; } template <class A, class B, class C> struct tr { union { A a; A first; A x; }; union { B b; B second; B y; }; union { C c; C third; C z; }; bool operator == (tr const& r) const { return a == r.a && b == r.b && c == r.c; } bool operator != (tr const& r) const { return !((*this) == r); } bool operator < (tr const& r) const { if (a == r.a) { if (b == r.b) { return c < r.c; } return b < r.b; } return a < r.a; } tr operator + (tr v) const { return tr(x, y, z) += v; } tr operator - (tr v) const { return tr(x, y, z) -= v; } tr operator - () const { return tr{ -x, -y, -z }; } tr& operator += (tr v) { x += v.x; y += v.y; z += v.z; return *this; } tr& operator -= (tr v) { x -= v.x; y -= v.y; z -= v.z; return *this; } friend istream& operator>>(istream& is, tr& p) { is >> p.a >> p.b >> p.c; return is; } friend ostream& operator<<(ostream& os, tr const& p) { os << p.a << " " << p.b << " " << p.c; return os; } }; using tint = tr<int, int, int>; static_assert(is_pod<tint>::value, "not pod"); template <class T> struct arr : public vector<T> { static arr<arr<T>> D2(int y, int x, T value) { return arr<arr<T>>(y, arr<T>(x, value)); } static arr<arr<arr<T>>> D3(int z, int y, int x, T value) { return arr<arr<arr<T>>>(z, arr<arr<T>>(y, arr<T>(x, value))); } static arr<arr<arr<arr<T>>>> D4(int w, int z, int y, int x, T value) { return arr<arr<arr<arr<T>>>>(w, arr<arr<arr<T>>>(z, arr<arr<T>>(y, arr<T>(x, value)))); } static arr<T> Iota(int N, int value = 0) { auto r = arr<T>(N); r.iota(value); return r; } arr() {} arr(initializer_list<T> il) : vector<T>(il) {} explicit arr(int n) : vector<T>(n) {} arr(int n, T v) : vector<T>(n, v) {} arr(const arr& r) : vector<T>(r) {} arr(arr&& r) : vector<T>(move(r)) {} arr& operator = (const arr& r) { vector<T>::operator = (r); return *this; } arr& operator = (arr&& r) { vector<T>::operator = (move(r)); return *this; } T& operator()(int i) { return (*this)[i]; } T const& operator()(int i) const { return (*this)[i]; } void init(int n, T v = T()) { this->assign(n, v); } int sz() const { return (int)this->size(); } void pb(T v) { this->push_back(v); } void sort() { std::sort(this->begin(), this->end()); } template <class F> void sort(F&& f) { std::sort(this->begin(), this->end(), f); } void rsort() { std::sort(this->begin(), this->end(), greater<T>()); } void reverse() { std::reverse(this->begin(), this->end()); } void unique_erase() { this->erase(std::unique(this->begin(), this->end()), this->end()); } bool next_permutation() { return std::next_permutation(this->begin(), this->end()); } int lower_bound(T const& v, function<bool(T, T)> p) { return std::lower_bound(this->begin(), this->end(), v, p) - this->begin(); } int lower_bound(T const& v) { return (int)(std::lower_bound(this->begin(), this->end(), v) - this->begin()); } int upper_bound(T const& v, function<bool(T, T)> p) { return std::upper_bound(this->begin(), this->end(), v, p) - this->begin(); } int upper_bound(T const& v) { return std::upper_bound(this->begin(), this->end(), v) - this->begin(); } void iota(T startValue = 0) { ::iota(this->begin(), this->end(), startValue); } void fill(T v) { ::fill(this->begin(), this->end(), v); } int find_sorted_nearest(T const& v) { int i = this->lower_bound(v); if (i >= sz()) { --i; } else if ((*this)[i] != v) { int p = i - 1; if (p >= 0) { int id = abs((*this)[i] - v); int pd = abs((*this)[p] - v); if (pd < id) { i = p; } } } return i; } int find_sorted(T const& v) { int i = this->lower_bound(v); if (i >= sz()) { return -1; } if ((*this)[i] != v) { return -1; } return i; } int find(T const& v) const { auto it = std::find(this->begin(), this->end(), v); if (it == this->end()) { return -1; } return (int)(it - this->begin()); } bool is_contains(T const& v) const { auto it = std::find(this->begin(), this->end(), v); if (it == this->end()) { return false; } return true; } template <class P> void remove_if_erase(P&& predicate) { this->erase(std::remove_if(this->begin(), this->end(), predicate), this->end()); } void slide_remove(int i) { (*this)[i] = (*this)[sz() - 1]; this->pop_back(); } void remove_idx(int i) { this->erase(this->begin() + i); } void insert_idx(int i, const T& v) { this->insert(this->begin() + i, v); } int findGE(const T& v) { return lower_bound(v); } int findG(const T& v) { return upper_bound(v); } int findLE(const T& v) { return upper_bound(v) - 1; } int findL(const T& v) { return lower_bound(v) - 1; } friend ostream& operator<<(ostream& os, const arr<T>& p) { if (p.empty()) { return os; } os << p[0]; FOR(i, 1, p.size()) { os << " " << p[i]; } return os; } }; using ints = arr<int>; template <class T, int CAPACITY> struct CapacityQueue { private: array<T, CAPACITY> ar = {}; int start = 0; int end = 0; public: inline void clear() { start = 0; end = 0; } inline void push(const T& v) { ar[end++] = v; } inline T* push() { T* ptr = &ar[end]; ++end; return ptr; } inline const T& get() const { return ar[start]; } inline T pop() { return ar[start++]; } inline bool empty() const { return start == end; } inline bool exist() const { return start != end; } inline int size() const { return end - start; } inline int total_push_count() const { return end; } const T& operator[](int i) const{ return ar[i]; } int end_size() const { return end; } }; template <class T, int CAPACITY> using CapQue = CapacityQueue<T, CAPACITY>; template <class T, int CAPACITY> class CapacityArray { static_assert(is_trivially_copyable<T>::value); private: array<T, CAPACITY> array_ = {}; int count_ = 0; public: CapacityArray() { } explicit CapacityArray(int count) { resize(count); } bool operator == (const CapacityArray<T, CAPACITY>& r) const { return memcmp(array_.data(), r.array_.data(), sizeof(T) * count_) == 0; } inline void clear() { count_ = 0; } inline void Clear() { clear(); } inline void resize(int count) { count_ = count; } inline void Resize(int count) { resize(count); } inline void assign(int count, const T& e) { count_ = count; for (int i = 0; i < count; ++i) { array_[i] = e; } } const T* data() const { return array_.data(); } inline T* PushBack() { return &array_[count_++]; } inline void push_back(const T& e) { array_[count_++] = e; } inline void PushBack(const T& e) { push_back(e); } inline void pop_back() { --count_; } inline void PopBack() { pop_back(); } T& front() { return array_[0]; } const T& front() const { return array_[0]; } T& back() { return array_[count_ - 1]; } const T& back() const { return array_[count_ - 1]; } inline void RemoveSlide(int i) { array_[i] = array_[count_ - 1]; --count_; } inline int GetCount() const { return count_; } inline int size() const { return count_; } inline int sz() const { return count_; } inline bool empty() const { return count_ == 0; } inline T& operator[](int index) { return array_[index]; } inline const T& operator[](int index) const { return array_[index]; } inline auto begin() -> decltype(array_.begin()) { return array_.begin(); } inline auto end() -> decltype(array_.begin()) { return array_.begin() + count_; } inline auto begin() const -> decltype(array_.begin()) { return array_.begin(); } inline auto end() const -> decltype(array_.begin()) { return array_.begin() + count_; } inline bool IsContain(const T& value) const { for (const auto& v : *this) { if (v == value) { return true; } } return false; } inline void MemInsert(int index, const T* mem, int count) { if (index == count_) { memcpy(array_.data() + index, mem, sizeof(T) * count); count_ += count; } else { memmove(array_.data() + index + count, array_.data() + index, sizeof(T) * (count_ - index)); memcpy(array_.data() + index, mem, sizeof(T) * count); count_ += count; } } void insert(int index, const T& value) { MemInsert(index, &value, 1); } inline void Insert(int start, int end, const T* p, int size) { int newEnd = start + size; if (count_ - end > 0 && newEnd != end) { memmove(array_.data() + newEnd, array_.data() + end, sizeof(T) * (count_ - end)); } memcpy(array_.data() + start, p, sizeof(T) * size); count_ -= end - start; count_ += size; } inline void Remove(int start, int end) { int size = end - start; memmove(array_.data() + start, array_.data() + end, sizeof(T) * (count_ - end)); count_ -= size; } }; template <class T, int CAPACITY> using CapArr = CapacityArray<T, CAPACITY>; template <int CAPACITY> struct CapacitySet { private: CapacityArray<int, CAPACITY> elemens; array<int, CAPACITY> indexTable; public: CapacitySet() { fill(indexTable.begin(), indexTable.end(), -1); } void Clear() { elemens.Clear(); fill(indexTable.begin(), indexTable.end(), -1); } inline void Add(int ai) { indexTable[ai] = elemens.GetCount(); elemens.PushBack(ai); } inline void ForceAdd(int ai) { if (indexTable[ai] >= 0) { return; } indexTable[ai] = elemens.GetCount(); elemens.PushBack(ai); } inline void Remove(int ai) { int removeIndex = indexTable[ai]; int lastIndex = elemens.GetCount() - 1; if (removeIndex != lastIndex) { elemens[removeIndex] = elemens[lastIndex]; indexTable[elemens[lastIndex]] = removeIndex; } elemens.PopBack(); indexTable[ai] = -1; } inline void ForceRemove(int ai) { if (indexTable[ai] < 0) { return; } int removeIndex = indexTable[ai]; int lastIndex = elemens.GetCount() - 1; if (removeIndex != lastIndex) { elemens[removeIndex] = elemens[lastIndex]; indexTable[elemens[lastIndex]] = removeIndex; } elemens.PopBack(); indexTable[ai] = -1; } inline bool IsContain(int ai) const { return indexTable[ai] >= 0; } inline int GetCount() const { return elemens.GetCount(); } inline int size() const { return elemens.GetCount(); } inline int At(int index) const { return elemens[index]; } inline int operator[](int index) const { return elemens[index]; } inline auto begin() -> decltype(elemens.begin()) { return elemens.begin(); } inline auto end() -> decltype(elemens.begin()) { return elemens.end(); } inline auto begin() const -> decltype(elemens.begin()) { return elemens.begin(); } inline auto end() const -> decltype(elemens.begin()) { return elemens.end(); } }; struct SizeSet { private: vector<int> elemens; vector<int> indexTable; public: void InitSize(int size) { elemens.clear(); elemens.reserve(size); indexTable.assign(size, -1); } void Clear() { elemens.clear(); indexTable.assign(indexTable.size(), -1); } inline void Add(int ai) { indexTable[ai] = (int)elemens.size(); elemens.emplace_back(ai); } inline void ForceAdd(int ai) { if (indexTable[ai] >= 0) { return; } indexTable[ai] = (int)elemens.size(); elemens.emplace_back(ai); } inline void Remove(int ai) { int removeIndex = indexTable[ai]; int lastIndex = (int)elemens.size() - 1; if (removeIndex != lastIndex) { elemens[removeIndex] = elemens[lastIndex]; indexTable[elemens[lastIndex]] = removeIndex; } elemens.pop_back(); indexTable[ai] = -1; } inline void ForceRemove(int ai) { if (indexTable[ai] < 0) { return; } int removeIndex = indexTable[ai]; int lastIndex = (int)elemens.size() - 1; if (removeIndex != lastIndex) { elemens[removeIndex] = elemens[lastIndex]; indexTable[elemens[lastIndex]] = removeIndex; } elemens.pop_back(); indexTable[ai] = -1; } inline bool IsContain(int ai) const { return indexTable[ai] >= 0; } inline int GetCount() const { return (int)elemens.size(); } inline int At(int index) const { return elemens[index]; } inline int operator[](int index) const { return elemens[index]; } inline auto begin() -> decltype(elemens.begin()) { return elemens.begin(); } inline auto end() -> decltype(elemens.begin()) { return elemens.end(); } inline auto begin() const -> decltype(elemens.begin()) { return elemens.begin(); } inline auto end() const -> decltype(elemens.begin()) { return elemens.end(); } }; template<class T, class COMPARERE> struct PriorityQueue : public priority_queue<T, vector<T>, COMPARERE> { template <class D> void Cut(int size, D&& deleter) { if ((int)this->c.size() > size) { int orgSize = (int)this->c.size(); for (int i = size; i < orgSize; ++i) { deleter(this->c[i]); } this->c.resize(size); } } vector<T>& Container() { return this->c; } void Cut(int size) { if ((int)this->c.size() > size) { this->c.resize(size); } } void Clear() { this->c.clear(); } }; template <int S> struct CheckMapS { private: array<u32, S> checked_ = {}; u32 mark_ = 1; public: void Clear() { ++mark_; if (mark_ == 0) { checked_ = {}; ++mark_; } } bool IsChecked(int i) const { return checked_[i] == mark_; } void Check(int i) { checked_[i] = mark_; } void Reset(int i) { checked_[i] = mark_ - 1; } bool operator[](int i) const { return checked_[i] == mark_; } bool operator == (const CheckMapS<S>& r) const { REP(i, S) { if (this->IsChecked(i) != r.IsChecked(i)) { return false; } } return true; } }; template <class T, int S> struct CheckMapDataS { private: array<T, S> data_; array<u32, S> checked_ = {}; u32 mark_ = 1; public: void Clear() { ++mark_; if (mark_ == 0) { checked_ = {}; ++mark_; } } bool IsChecked(int i) const { return checked_[i] == mark_; } void Check(int i) { checked_[i] = mark_; } void Set(int i, const T& value) { checked_[i] = mark_; data_[i] = value; } void Reset(int i) { checked_[i] = mark_ - 1; } const T& Get(int i) const { VASSERT(checked_[i] == mark_); return data_[i]; } T& Ref(int i) { VASSERT(checked_[i] == mark_); return data_[i]; } const T& Ref(int i) const { VASSERT(checked_[i] == mark_); return data_[i]; } const T& operator[](int i) const { VASSERT(checked_[i] == mark_); return data_[i]; } T GetIf(int i, const T& defaultValue) const { if (checked_[i] == mark_) { return data_[i]; } return defaultValue; } }; struct CheckMapD { private: vector<u32> checked_; u32 mark_ = 1; public: void SetSize(int size) { checked_.resize(size, mark_); } void Clear() { ++mark_; if (mark_ == 0) { checked_.assign(checked_.size(), 0); ++mark_; } } bool IsChecked(int i) const { return checked_[i] == mark_; } void Check(int i) { checked_[i] = mark_; } void Reset(int i) { checked_[i] = mark_ - 1; } }; template <class T> struct CheckMapDataD { private: vector<T> data_; vector<u32> checked_; u32 mark_ = 1; public: void SetSize(int size) { checked_.resize(size, mark_); data_.resize(size); } void Clear() { ++mark_; if (mark_ == 0) { checked_.assign(checked_.size(), 0); ++mark_; } } bool IsChecked(int i) const { return checked_[i] == mark_; } void Check(int i) { checked_[i] = mark_; } void Set(int i, const T& value) { checked_[i] = mark_; data_[i] = value; } void Reset(int i) { checked_[i] = mark_ - 1; } const T& Get(int i) const { VASSERT(checked_[i] == mark_); return data_[i]; } T& Ref(int i) { VASSERT(checked_[i] == mark_); return data_[i]; } }; enum class Dir : int8_t { L = 0, U, R, D, N, Invalid, }; constexpr array<Dir, 4> Dir4 = { Dir::L, Dir::U, Dir::R, Dir::D, }; constexpr array<pint, 4> Around4 = { pint{-1, 0}, pint{0, -1}, pint{1, 0}, pint{0, 1} }; inline Dir RotateRight(Dir d) { return Dir(((int)d + 1) % 4); } inline Dir RotateLeft(Dir d) { return Dir(((int)d + 3) % 4); } inline Dir Back(Dir d) { return Dir(s8(d) ^ 2); } bool IsHorizontal(Dir dir) { return dir == Dir::L || dir == Dir::R; } bool IsVertical(Dir dir) { return dir == Dir::U || dir == Dir::D; } inline Dir CalcDir(const pint& from, const pint& to) { if (from.x > to.x) { return Dir::L; } else if (from.y > to.y) { return Dir::U; } else if (from.x < to.x) { return Dir::R; } else if (from.y < to.y) { return Dir::D; } else { return Dir::N; } } inline const string& DirString(Dir dir) { static const string strs[6] = { "LEFT", "UP", "RIGHT", "DOWN", "WAIT", "INVALID", }; return strs[(int)dir]; } inline char DirToChar(Dir dir) { static const char chars[6] = { 'L', 'U', 'R', 'D', 'N', '*', }; return chars[(int)dir]; } inline const Dir CharToDir(char c) { if (c == 'L') { return Dir::L; } else if (c == 'U') { return Dir::U; } else if (c == 'R') { return Dir::R; } else if (c == 'D') { return Dir::D; } else if (c == 'N') { return Dir::N; } VABORT(); return Dir::Invalid; } template <class T, int CAP> struct CCA { private: T ar[CAP]; int s; public: inline constexpr void push(const T& v) { ar[s++] = v; } inline constexpr const T* begin() const { return &ar[0]; } inline constexpr const T* end() const { return &ar[s]; } inline constexpr const T& operator ()(int i) const { return ar[i]; } inline constexpr const T& operator [](int i) const { return ar[i]; } int size() const { return s; } }; template <int W, int H, int AROUND_COUNT> struct AroundMapS { using CA = CCA<int, AROUND_COUNT>; CA table[W * H]; constexpr AroundMapS(const array<pint, AROUND_COUNT>& aroundDirs) : table{} { REP(cellId, W * H) { pint p = { cellId % W, cellId / W }; for (const pint& a : aroundDirs) { int x = p.a + a.a; int y = p.b + a.b; if (x >= 0 && x < W && y >= 0 && y < H) { table[cellId].push(x + y * W); } } } } inline constexpr const CA& operator ()(int id) const { return table[id]; } inline constexpr const CA& operator [](int id) const { return table[id]; } }; template <int AROUND_COUNT> struct AroundMapD { using CA = CCA<int, AROUND_COUNT>; vector<CA> table_; int width_ = 1; void Init(int width, int height, const array<pint, AROUND_COUNT>& aroundDirs) { width_ = width; int count = width * height; table_.clear(); table_.resize(count); REP(i, count) { pint p = { i % width, i / width }; for (const pint& a : aroundDirs) { pint n = p + a; if (n.a >= 0 && n.a < width && n.b >= 0 && n.b < height) { table_[i].push(n.a + n.b * width); } } } } inline const CA& operator[](int i) const { return table_[i]; } inline const CA& operator[](const pint& p) const { return table_[p.x + p.y * width_]; } }; template <int W, int H, int AROUND_COUNT> struct DirMapS { using CA = CCA<int, AROUND_COUNT>; CA table[W * H]; constexpr DirMapS(const array<pint, AROUND_COUNT>& aroundDirs) : table{} { REP(cellId, W * H) { pint p = { cellId % W, cellId / W }; for (const pint& a : aroundDirs) { int x = p.a + a.a; int y = p.b + a.b; int n = -1; if (x >= 0 && x < W && y >= 0 && y < H) { n = x + y * W; } table[cellId].push(n); } } } inline constexpr const CA& operator ()(int id) const { return table[id]; } inline constexpr const CA& operator [](int id) const { return table[id]; } }; #include <cstdint> struct Xor64 { using result_type = uint64_t; static constexpr result_type min() { return 0; } static constexpr result_type max() { return UINT64_MAX; } private: Xor64(const Xor64& r) = delete; Xor64& operator =(const Xor64& r) = delete; public: uint64_t x; inline Xor64(uint64_t seed = 0) { x = 88172645463325252ULL + seed; } inline uint64_t operator()() { x = x ^ (x << 7); return x = x ^ (x >> 9); } inline uint64_t operator()(uint64_t l, uint64_t r) { return ((*this)() % (r - l)) + l; } inline uint64_t operator()(uint64_t r) { return (*this)() % r; } inline double GetDouble() { return (*this)() / (double)UINT64_MAX; } }; struct Random { static inline Xor64& Instnce() { static Xor64 x; return x; } static inline uint64_t Get() { return Instnce()(); } static inline uint64_t Get(uint64_t l, uint64_t r) { return Instnce()(l, r); } static inline uint64_t Get(uint64_t r) { return Instnce()(r); } static inline void Get2(uint64_t N, uint64_t& a, uint64_t& b) { VASSERT(N >= 2); a = Get(N); b = Get(N - 1); if (b >= a) { ++b; } } static inline double GetDouble() { return Get() / (double)UINT64_MAX; } static inline double GetDouble(double l, double r) { return l + GetDouble() * (r - l); } }; #define REGIST_PARAM(name, type, defaultValue) type name = defaultValue; constexpr struct { } HYPER_PARAM; auto& HP = HYPER_PARAM; double ParamValue(double x, double a, double e) { return a * pow(x, e); } template <int W, int H> struct GridSystemS { inline constexpr int ToId(int x, int y) const { return x + W * y; } inline constexpr int ToId(const pint& p) const { return p.x + W * p.y; } inline constexpr pint ToPos(int id) const { return pint{ id % W, id / W }; } inline int CalcL1Dist(const pint& a, const pint& b) const { return abs(a.x - b.x) + abs(a.y - b.y); } inline int CalcL1Dist(int a, int b) const { return CalcL1Dist(ToPos(a), ToPos(b)); } inline int CalcL2Dist2(const pint& a, const pint& b) const { return square(a.x - b.x) + square(a.y - b.y); } inline int CalcL2Dist2(int a, int b) const { return CalcL2Dist2(ToPos(a), ToPos(b)); } inline double CalcL2Dist(const pint& a, const pint& b) const { return sqrt(CalcL2Dist2(a, b)); } inline double CalcL2Dist(int a, int b) const { return CalcL2Dist(ToPos(a), ToPos(b)); } inline bool IsOut(int x, int y) const { if (x < 0 || x >= W || y < 0 || y >= H) { return true; } return false; } inline bool IsOut(const pint& p) const { return IsOut(p.x, p.y); } inline bool IsIn(const pint& p) const { return !IsOut(p); } inline int RotateRight90(int id) const { pint p = ToPos(id); return ToId(W - 1 - p.y, p.x); } inline Dir CalcDir(int from, int to) const { if (from - 1 == to) { return Dir::L; } else if (from - W == to) { return Dir::U; } else if (from + 1 == to) { return Dir::R; } else if (from + W == to) { return Dir::D; } else { VABORT(); } return Dir::Invalid; } }; struct Action { CapArr<pint, 8> Qs; CapArr<int, 1000> route; }; constexpr int N = 100; constexpr int M = 8; constexpr int alpha = 5; CapArr<pint, 100> Ps; struct IOServer { void Input(int argc, const char* argv[]) { auto& is = cin; int dummy; is >> dummy >> dummy; Ps.resize(N); REP(i, N) { is >> Ps[i].x >> Ps[i].y; } } void Output(const Action& action) { ostream& os = cout; REP(i, M) { os << action.Qs[i].x << " " << action.Qs[i].y << endl; } os << action.route.size() << endl; REP(i, action.route.size()) { int t = 1; int index = action.route[i]; if (index >= N) { t = 2; index -= N; } os << t << " " << index + 1 << endl; } } }; IOServer server; struct RandomTable { vector<int> table_; void push(int value, int count) { table_.reserve(table_.size() + count); REP(i, count) { table_.emplace_back(value); } } template <class ENGINE> int operator()(ENGINE& engine) { return table_[engine() % table_.size()]; } }; constexpr int PROGRESS_COUNT = 10; struct SimulatedAnnealing { struct SAPoint { double currentScore = 0; double maxScore = 0; int noMaxUpdateCount = 0; int resetCount = 0; }; vector<SAPoint> points; double totalMaxScore = 0; double timeRate = 0; double temp = 1; double divTemp = 1; double startTemp_ = 200; double endTemp_ = 1; int stepLoopCount = 1000; template <class CALC_NEXT_STATE> void Run(ChronoTimer& timer, const vector<double>& currentScores, CALC_NEXT_STATE&& calcNextState) { points.resize(currentScores.size()); totalMaxScore = currentScores[0]; REP(pi, points.size()) { auto& point = points[pi]; point.currentScore = currentScores[pi]; point.maxScore = point.currentScore; point.noMaxUpdateCount = 0; point.resetCount = 0; chmax(totalMaxScore, point.maxScore); } const auto startTime = timer.Now(); const auto endTime = timer.EndTime(); const double subTimeCountDiv = 1.0 / (double)(endTime - startTime).count(); vector<int> pis(currentScores.size()); iota(ALL(pis), 0); bool forceEnd = false; while (!timer.IsOver()) { timeRate = (timer.Now() - startTime).count() * subTimeCountDiv; temp = startTemp_ * std::pow(endTemp_ / startTemp_, timeRate); divTemp = 1.0 / temp; for (int rp = 0; rp < stepLoopCount; ++rp) { for (int pi : pis) { if (calcNextState(pi, *this)) { forceEnd = true; break; } } } if (forceEnd) { break; } { constexpr double start = 0.2; constexpr double end = 1.0; int targetPointCount = (int)currentScores.size(); if (timeRate >= end) { targetPointCount = 1; } else if (timeRate >= start) { double r = 1.0 - (timeRate - start) / (end - start); targetPointCount = 1 + (int)floor(currentScores.size() * r); } if ((int)pis.size() > targetPointCount) { sort(ALL(pis), [&](int a, int b) { return points[a].maxScore > points[b].maxScore; }); pis.resize(targetPointCount); } } } } inline pr<bool, bool> operator()(int pi, double newScore) { auto& point = points[pi]; ++point.noMaxUpdateCount; if (newScore > point.currentScore) { point.currentScore = newScore; if (newScore > point.maxScore) { point.maxScore = newScore; point.noMaxUpdateCount = 0; if (newScore > totalMaxScore) { totalMaxScore = newScore; } return { true, true }; } return { true, false }; } else if (newScore == point.currentScore) { return { true, false }; } else { if (exp((newScore - point.currentScore) * divTemp) * UINT32_MAX > Random::Get(UINT32_MAX)) { point.currentScore = newScore; return { true, false }; } else { return { false, false }; } } } }; template <int SIZE> struct Mat { array<int, SIZE* SIZE> m_; inline const int& operator()(pint p) const { return m_[p.x + p.y * SIZE]; } inline int& operator()(pint p) { return m_[p.x + p.y * SIZE]; } inline const int& operator()(int x, int y) const { return m_[x + y * SIZE]; } inline int& operator()(int x, int y) { return m_[x + y * SIZE]; } }; template <int SIZE> void WarshallFloyd(Mat<SIZE>& mat) { REP(k, SIZE) { REP(i, SIZE) { REP(j, SIZE) { chmin(mat(i, j), mat(i, k) + mat(k, j)); } } } } template <int SIZE> void WarshallFloyd(Mat<SIZE>& mat, Mat<SIZE>& next) { REP(k, SIZE) { REP(i, SIZE) { REP(j, SIZE) { if (mat(i, j) > mat(i, k) + mat(k, j)) { mat(i, j) = mat(i, k) + mat(k, j); next(i, j) = next(i, k); } } } } } void Kmeans(array<pint, M>& centers) { array<int, N> labels = {}; array<pdouble, M> cogs = {}; labels.fill(-1); REP(label, M) { int pi = 0; while (true) { pi = (int)Random::Get(N); if (labels[pi] >= 0) { continue; } break; } labels[pi] = label; cogs[label] = (pdouble)Ps[pi]; } array<pint, M> sums = {}; array<int, M> counts = {}; while (true) { bool update = false; sums = {}; counts = {}; REP(pi, N) { int bestLabel = 0; double nearD = INT_MAX; REP(label, M) { auto sub = cogs[label] - Ps[pi]; double d = square(sub.x) + square(sub.y); if (d < nearD) { nearD = d; bestLabel = label; } } if (bestLabel != labels[pi]) { update = true; } labels[pi] = bestLabel; sums[bestLabel] += Ps[pi]; counts[bestLabel] += 1; } if (!update) { break; } REP(label, M) { VASSERT(counts[label] > 0); cogs[label] = (pdouble)sums[label] / (double)counts[label]; } } REP(label, M) { centers[label] = round(cogs[label]); } } constexpr int START_COUNT = 8; struct Solver { using Stations = array<pint, M>; using Route = array<int, N - 1>; struct State { double score; Stations stations; Mat<M> stationMat; Route route; int S; }; Mat<N> planetMat_; Xor64 rand_; void Run() { { planetMat_.m_.fill(-1); REP(i, N) { FOR(j, i, N) { if (i == j) { planetMat_(i, j) = 0; planetMat_(j, i) = 0; } else { pint sub = Ps[i] - Ps[j]; int cost = (square(sub.x) + square(sub.y)) * square(alpha); planetMat_(i, j) = cost; planetMat_(j, i) = cost; } } } WarshallFloyd(planetMat_); } vector<State> curStates = {}; InitState(curStates); State maxState = curStates[0]; SimulatedAnnealing sim; sim.startTemp_ = 10.0; sim.endTemp_ = 1; sim.stepLoopCount = 1000; RandomTable randTable; randTable.push(0, 10); randTable.push(1, 10); randTable.push(2, 100); vector<double> currentScores(curStates.size()); REP(i, curStates.size()) { currentScores[i] = curStates[i].score; } sim.Run(timer, currentScores, [&](int pi, SimulatedAnnealing& sa) { int p = randTable(rand_); if (p == 0) { UpdateStationJump(pi, sa, curStates[pi], maxState); } else if (p == 1) { UpdateStationMove(pi, sa, curStates[pi], maxState); } else { UpdatePlanet2opt(pi, sa, curStates[pi], maxState); } return false; }); Action action; { const auto& state = maxState; action.Qs.resize(M); REP(i, M) { action.Qs[i] = state.stations[i]; } Mat<N + M> allMat; Mat<N + M> next; CalcAllMat(state.stations, allMat, next); auto AddRoute = [&](int start, int goal) { for (int cur = next(start, goal); cur != goal; cur = next(cur, goal)) { action.route.push_back(cur); } action.route.push_back(goal); }; int S = 0; int now = 0; action.route.push_back(0); REP(i, state.route.size()) { int next = state.route[i]; S += allMat(now, next); AddRoute(now, next); now = next; } { int next = 0; S += allMat(now, next); AddRoute(now, next); now = next; } } server.Output(action); } double RawScore(int S) { return 1000000000 / double(1000 + sqrt((double)S)); } int RawScoreInt(int S) { return (int)round(RawScore(S)); } void CalcAllMat(const Stations& stations, Mat<N + M>& allMat, Mat<N + M>& next) { constexpr int NM = N + M; allMat.m_.fill(-1); REP(i, N) { FOR(j, i, N) { if (i == j) { allMat(i, j) = 0; allMat(j, i) = 0; } else { pint sub = Ps[i] - Ps[j]; int cost = (square(sub.x) + square(sub.y)) * square(alpha); allMat(i, j) = cost; allMat(j, i) = cost; } } } REP(i, N) { FOR(j, N, NM) { pint sub = Ps[i] - stations[j - N]; int cost = (square(sub.x) + square(sub.y)) * alpha; allMat(i, j) = cost; allMat(j, i) = cost; } } FOR(i, N, NM) { FOR(j, i, NM) { if (i == j) { allMat(i, j) = 0; allMat(j, i) = 0; } else { pint sub = stations[i - N] - stations[j - N]; int cost = (square(sub.x) + square(sub.y)); allMat(i, j) = cost; allMat(j, i) = cost; } } } REP(i, NM) { REP(j, NM) { next(i, j) = j; } } WarshallFloyd(allMat, next); } void CalcStationMat(const Stations& stations, Mat<M>& stationMat) { REP(i, M) { FOR(j, i, M) { if (i == j) { stationMat(i, j) = 0; stationMat(j, i) = 0; } else { pint sub = stations[i] - stations[j]; int cost = (square(sub.x) + square(sub.y)); stationMat(i, j) = cost; stationMat(j, i) = cost; } } } WarshallFloyd(stationMat); } int MoveCost(int a, int b, const Stations& stations, const Mat<M>& stationMat) { VASSERT(a >= 0); VASSERT(b >= 0); int bestCost = planetMat_(a, b); auto PlanetStationCost = [&](int planet, int station) { pint sub = Ps[planet] - stations[station]; return (square(sub.x) + square(sub.y)) * alpha; }; array<int, M> aCosts; array<int, M> bCosts; REP(i, M) { aCosts[i] = PlanetStationCost(a, i); bCosts[i] = PlanetStationCost(b, i); } REP(im, M) { const int ac = aCosts[im]; REP(om, M) { chmin(bestCost, ac + bCosts[om] + stationMat(im, om)); } } return bestCost; } int RouteCost(const Route& route, const Stations& stations, const Mat<M>& stationMat) { int S = 0; int now = 0; REP(i, N - 1) { int next = route[i]; S += MoveCost(now, next, stations, stationMat); now = next; } { int next = 0; S += MoveCost(now, next, stations, stationMat); now = next; } return S; } void InitState(vector<State>& states) { REP(i, START_COUNT) { State state; Kmeans(state.stations); CalcStationMat(state.stations, state.stationMat); Mat<N + M> allMat; Mat<N + M> dummy; CalcAllMat(state.stations, allMat, dummy); state.route.fill(-1); int S = 0; array<bool, N> used = {}; int now = 0; REP(loop, N - 1) { int bestI = -1; int bestCost = INT_MAX; FOR(i, 1, N) { if (used[i]) { continue; } int cost = allMat(now, i); if (cost < bestCost) { bestCost = cost; bestI = i; } } now = bestI; used[bestI] = true; S += bestCost; state.route[loop] = bestI; } S += allMat(now, 0); S = RouteCost(state.route, state.stations, state.stationMat); state.S = S; state.score = RawScore(state.S); states.push_back(state); } } void UpdateStationJump(int pi, SimulatedAnnealing& sa, State& state, State& maxState) { int qi = (int)Random::Get(M); auto backupP = state.stations[qi]; pint newP; newP.x = (int)Random::Get(100, 901); newP.y = (int)Random::Get(100, 901); state.stations[qi] = newP; Mat<M> newStationMat; CalcStationMat(state.stations, newStationMat); int newS = RouteCost(state.route, state.stations, newStationMat); double newScore = RawScore(newS); auto r = sa(pi, newScore); if (r.first) { state.score = newScore; state.S = newS; state.stationMat = newStationMat; if (r.second) { maxState = state; } } else { state.stations[qi] = backupP; } }; void UpdateStationMove(int pi, SimulatedAnnealing& sa, State& state, State& maxState) { int qi = (int)Random::Get(M); auto backupP = state.stations[qi]; pint newP = backupP; newP.x += (int)Random::Get(101) - 50; newP.y += (int)Random::Get(101) - 50; state.stations[qi] = newP; Mat<M> newStationMat; CalcStationMat(state.stations, newStationMat); int newS = RouteCost(state.route, state.stations, newStationMat); double newScore = RawScore(newS); auto r = sa(pi, newScore); if (r.first) { state.score = newScore; state.S = newS; state.stationMat = newStationMat; if (r.second) { maxState = state; } } else { state.stations[qi] = backupP; } }; void UpdatePlanet2opt(int pi, SimulatedAnnealing& sa, State& state, State& maxState) { int length = (int)Random::Get(2, 51); int start = (int)Random::Get(state.route.size() - length + 1); int end = start + length; int a = (start == 0) ? 0 : state.route[start - 1]; int b = state.route[start]; int c = state.route[end - 1]; int d = (end == state.route.size()) ? 0 : state.route[end]; auto CalcCost = [&](int from, int to) { return MoveCost(from, to, state.stations, state.stationMat); }; int before = CalcCost(a, b) + CalcCost(c, d); int after = CalcCost(a, c) + CalcCost(b, d); int newS = state.S - before + after; double newScore = RawScore(newS); auto r = sa(pi, newScore); if (r.first) { state.score = newScore; reverse(state.route.begin() + start, state.route.begin() + end); state.S = newS; if (r.second) { maxState = state; } } else { } }; }; struct Main { void Run(int argc, const char* argv[]) { timer.StartMs(TIME_LIMIT); server.Input(argc, argv); Solver* solver = new Solver; solver->Run(); cerr << "time " << timer.ElapseTimeMs() << endl; } };