結果
問題 | No.2167 Fibonacci Knapsack |
ユーザー | NyaanNyaan |
提出日時 | 2022-12-19 01:36:44 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 453 ms / 2,000 ms |
コード長 | 20,506 bytes |
コンパイル時間 | 2,819 ms |
コンパイル使用メモリ | 259,740 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-04-29 01:56:01 |
合計ジャッジ時間 | 13,431 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge1 |
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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 | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 453 ms
5,376 KB |
testcase_04 | AC | 451 ms
5,376 KB |
testcase_05 | AC | 449 ms
5,376 KB |
testcase_06 | AC | 449 ms
5,376 KB |
testcase_07 | AC | 449 ms
5,376 KB |
testcase_08 | AC | 450 ms
5,376 KB |
testcase_09 | AC | 450 ms
5,376 KB |
testcase_10 | AC | 446 ms
5,376 KB |
testcase_11 | AC | 447 ms
5,376 KB |
testcase_12 | AC | 448 ms
5,376 KB |
testcase_13 | AC | 451 ms
5,376 KB |
testcase_14 | AC | 446 ms
5,376 KB |
testcase_15 | AC | 450 ms
5,376 KB |
testcase_16 | AC | 449 ms
5,376 KB |
testcase_17 | AC | 450 ms
5,376 KB |
testcase_18 | AC | 448 ms
5,376 KB |
testcase_19 | AC | 448 ms
5,376 KB |
testcase_20 | AC | 449 ms
5,376 KB |
testcase_21 | AC | 448 ms
5,376 KB |
testcase_22 | AC | 446 ms
5,376 KB |
testcase_23 | AC | 428 ms
5,376 KB |
コンパイルメッセージ
main.cpp:422:7: warning: 'template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator' is deprecated [-Wdeprecated-declarations] In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:65, from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/algorithm:60, from main.cpp:11: /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_iterator_base_types.h:127:34: note: declared here 127 | struct _GLIBCXX17_DEPRECATED iterator | ^~~~~~~~ main.cpp:424:7: warning: 'template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator' is deprecated [-Wdeprecated-declarations] /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_iterator_base_types.h:127:34: note: declared here 127 | struct _GLIBCXX17_DEPRECATED iterator | ^~~~~~~~
ソースコード
/** * date : 2022-12-19 01:36:39 */ #define NDEBUG using namespace std; // intrinstic #include <immintrin.h> #include <algorithm> #include <array> #include <bitset> #include <cassert> #include <cctype> #include <cfenv> #include <cfloat> #include <chrono> #include <cinttypes> #include <climits> #include <cmath> #include <complex> #include <cstdarg> #include <cstddef> #include <cstdint> #include <cstdio> #include <cstdlib> #include <cstring> #include <deque> #include <fstream> #include <functional> #include <initializer_list> #include <iomanip> #include <ios> #include <iostream> #include <istream> #include <iterator> #include <limits> #include <list> #include <map> #include <memory> #include <new> #include <numeric> #include <ostream> #include <queue> #include <random> #include <set> #include <sstream> #include <stack> #include <streambuf> #include <string> #include <tuple> #include <type_traits> #include <typeinfo> #include <unordered_map> #include <unordered_set> #include <utility> #include <vector> // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template <typename T> using V = vector<T>; template <typename T> using VV = vector<vector<T>>; using vi = vector<int>; using vl = vector<long long>; using vd = V<double>; using vs = V<string>; using vvi = vector<vector<int>>; using vvl = vector<vector<long long>>; template <typename T, typename U> struct P : pair<T, U> { template <typename... Args> P(Args... args) : pair<T, U>(args...) {} using pair<T, U>::first; using pair<T, U>::second; P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } template <typename S> P &operator*=(const S &r) { first *= r, second *= r; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } template <typename S> P operator*(const S &r) const { return P(*this) *= r; } P operator-() const { return P{-first, -second}; } }; using pl = P<ll, ll>; using pi = P<int, int>; using vp = V<pl>; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template <typename T> int sz(const T &t) { return t.size(); } template <typename T, typename U> inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template <typename T, typename U> inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template <typename T> inline T Max(const vector<T> &v) { return *max_element(begin(v), end(v)); } template <typename T> inline T Min(const vector<T> &v) { return *min_element(begin(v), end(v)); } template <typename T> inline long long Sum(const vector<T> &v) { return accumulate(begin(v), end(v), 0LL); } template <typename T> int lb(const vector<T> &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template <typename T> int ub(const vector<T> &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template <typename T, typename U> pair<T, U> mkp(const T &t, const U &u) { return make_pair(t, u); } template <typename T> vector<T> mkrui(const vector<T> &v, bool rev = false) { vector<T> ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template <typename T> vector<T> mkuni(const vector<T> &v) { vector<T> ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template <typename F> vector<int> mkord(int N,F f) { vector<int> ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template <typename T> vector<int> mkinv(vector<T> &v) { int max_val = *max_element(begin(v), end(v)); vector<int> inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } vector<int> mkiota(int n) { vector<int> ret(n); iota(begin(ret), end(ret), 0); return ret; } template <typename T> T mkrev(const T &v) { T w{v}; reverse(begin(w), end(w)); return w; } template <typename T> bool nxp(vector<T> &v) { return next_permutation(begin(v), end(v)); } template <typename T> using minpq = priority_queue<T, vector<T>, greater<T>>; } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; } template <typename T> inline int gbit(const T &a, int i) { return (a >> i) & 1; } template <typename T> inline void sbit(T &a, int i, bool b) { if (gbit(a, i) != b) a ^= T(1) << i; } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; } template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &p) { is >> p.first >> p.second; return is; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template <typename T> istream &operator>>(istream &is, vector<T> &v) { for (auto &x : v) is >> x; return is; } istream &operator>>(istream &is, __int128_t &x) { string S; is >> S; x = 0; int flag = 0; for (auto &c : S) { if (c == '-') { flag = true; continue; } x *= 10; x += c - '0'; } if (flag) x = -x; return is; } istream &operator>>(istream &is, __uint128_t &x) { string S; is >> S; x = 0; for (auto &c : S) { x *= 10; x += c - '0'; } return is; } ostream &operator<<(ostream &os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } ostream &operator<<(ostream &os, __uint128_t x) { if (x == 0) return os << 0; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } void in() {} template <typename T, class... U> void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template <typename T, class... U, char sep = ' '> void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template <typename T, class... U, char sep = ' '> void outr(const T &t, const U &...u) { cout << t; outr(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug #ifdef NyaanDebug #define trc(...) (void(0)) #else #define trc(...) (void(0)) #endif #ifdef NyaanLocal #define trc2(...) (void(0)) #else #define trc2(...) (void(0)) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define fi first #define se second #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // namespace HashMapImpl { using u32 = uint32_t; using u64 = uint64_t; template <typename Key, typename Data> struct HashMapBase; template <typename Key, typename Data> struct itrB : iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&> { using base = iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&>; using ptr = typename base::pointer; using ref = typename base::reference; u32 i; HashMapBase<Key, Data>* p; explicit constexpr itrB() : i(0), p(nullptr) {} explicit constexpr itrB(u32 _i, HashMapBase<Key, Data>* _p) : i(_i), p(_p) {} explicit constexpr itrB(u32 _i, const HashMapBase<Key, Data>* _p) : i(_i), p(const_cast<HashMapBase<Key, Data>*>(_p)) {} friend void swap(itrB& l, itrB& r) { swap(l.i, r.i), swap(l.p, r.p); } friend bool operator==(const itrB& l, const itrB& r) { return l.i == r.i; } friend bool operator!=(const itrB& l, const itrB& r) { return l.i != r.i; } const ref operator*() const { return const_cast<const HashMapBase<Key, Data>*>(p)->data[i]; } ref operator*() { return p->data[i]; } ptr operator->() const { return &(p->data[i]); } itrB& operator++() { assert(i != p->cap && "itr::operator++()"); do { i++; if (i == p->cap) break; if (p->occupied_flag[i] && !p->deleted_flag[i]) break; } while (true); return (*this); } itrB operator++(int) { itrB it(*this); ++(*this); return it; } itrB& operator--() { do { i--; if (p->occupied_flag[i] && !p->deleted_flag[i]) break; assert(i != 0 && "itr::operator--()"); } while (true); return (*this); } itrB operator--(int) { itrB it(*this); --(*this); return it; } }; template <typename Key, typename Data> struct HashMapBase { using u32 = uint32_t; using u64 = uint64_t; using iterator = itrB<Key, Data>; using itr = iterator; protected: template <typename K> inline u64 randomized(const K& key) const { return u64(key) ^ r; } template <typename K, enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr, enable_if_t<is_integral<K>::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { return (randomized(key) * 11995408973635179863ULL) >> shift; } template < typename K, enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr, enable_if_t<is_integral<decltype(K::first)>::value, nullptr_t> = nullptr, enable_if_t<is_integral<decltype(K::second)>::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { u64 a = randomized(key.first), b = randomized(key.second); a *= 11995408973635179863ULL; b *= 10150724397891781847ULL; return (a + b) >> shift; } template <typename K, enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr, enable_if_t<is_integral<typename K::value_type>::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { static constexpr u64 mod = (1LL << 61) - 1; static constexpr u64 base = 950699498548472943ULL; u64 res = 0; for (auto& elem : key) { __uint128_t x = __uint128_t(res) * base + (randomized(elem) & mod); res = (x & mod) + (x >> 61); } __uint128_t x = __uint128_t(res) * base; res = (x & mod) + (x >> 61); if (res >= mod) res -= mod; return res >> (shift - 3); } template <typename D = Data, enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr> inline u32 hash(const D& dat) const { return inner_hash(dat); } template < typename D = Data, enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr> inline u32 hash(const D& dat) const { return inner_hash(dat.first); } template <typename D = Data, enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr> inline Key data_to_key(const D& dat) const { return dat; } template < typename D = Data, enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr> inline Key data_to_key(const D& dat) const { return dat.first; } void reallocate(u32 ncap) { vector<Data> ndata(ncap); vector<bool> nf(ncap); shift = 64 - __lg(ncap); for (u32 i = 0; i < cap; i++) { if (occupied_flag[i] && !deleted_flag[i]) { u32 h = hash(data[i]); while (nf[h]) h = (h + 1) & (ncap - 1); ndata[h] = move(data[i]); nf[h] = true; } } data.swap(ndata); occupied_flag.swap(nf); cap = ncap; occupied = s; deleted_flag.resize(cap); fill(std::begin(deleted_flag), std::end(deleted_flag), false); } inline bool extend_rate(u32 x) const { return x * 2 >= cap; } inline bool shrink_rate(u32 x) const { return HASHMAP_DEFAULT_SIZE < cap && x * 10 <= cap; } inline void extend() { reallocate(cap << 1); } inline void shrink() { reallocate(cap >> 1); } public: u32 cap, s, occupied; vector<Data> data; vector<bool> occupied_flag, deleted_flag; u32 shift; static u64 r; static constexpr uint32_t HASHMAP_DEFAULT_SIZE = 4; explicit HashMapBase() : cap(HASHMAP_DEFAULT_SIZE), s(0), occupied(0), data(cap), occupied_flag(cap), deleted_flag(cap), shift(64 - __lg(cap)) {} itr begin() const { u32 h = 0; while (h != cap) { if (occupied_flag[h] && !deleted_flag[h]) break; h++; } return itr(h, this); } itr end() const { return itr(this->cap, this); } friend itr begin(const HashMapBase& h) { return h.begin(); } friend itr end(const HashMapBase& h) { return h.end(); } itr find(const Key& key) const { u32 h = inner_hash(key); while (true) { if (occupied_flag[h] == false) return this->end(); if (data_to_key(data[h]) == key) { if (deleted_flag[h] == true) return this->end(); return itr(h, this); } h = (h + 1) & (cap - 1); } } bool contain(const Key& key) const { return find(key) != this->end(); } itr insert(const Data& d) { u32 h = hash(d); while (true) { if (occupied_flag[h] == false) { if (extend_rate(occupied + 1)) { extend(); h = hash(d); continue; } data[h] = d; occupied_flag[h] = true; ++occupied, ++s; return itr(h, this); } if (data_to_key(data[h]) == data_to_key(d)) { if (deleted_flag[h] == true) { data[h] = d; deleted_flag[h] = false; ++s; } return itr(h, this); } h = (h + 1) & (cap - 1); } } // tips for speed up : // if return value is unnecessary, make argument_2 false. itr erase(itr it, bool get_next = true) { if (it == this->end()) return this->end(); s--; if (!get_next) { this->deleted_flag[it.i] = true; if (shrink_rate(s)) shrink(); return this->end(); } itr nxt = it; nxt++; this->deleted_flag[it.i] = true; if (shrink_rate(s)) { Data d = data[nxt.i]; shrink(); it = find(data_to_key(d)); } return nxt; } itr erase(const Key& key) { return erase(find(key)); } int count(const Key& key) { return find(key) == end() ? 0 : 1; } bool empty() const { return s == 0; } int size() const { return s; } void clear() { fill(std::begin(occupied_flag), std::end(occupied_flag), false); fill(std::begin(deleted_flag), std::end(deleted_flag), false); s = occupied = 0; } void reserve(int n) { if (n <= 0) return; n = 1 << min(23, __lg(n) + 2); if (cap < u32(n)) reallocate(n); } }; template <typename Key, typename Data> uint64_t HashMapBase<Key, Data>::r = chrono::duration_cast<chrono::nanoseconds>( chrono::high_resolution_clock::now().time_since_epoch()) .count(); } // namespace HashMapImpl /** * @brief Hash Map(base) (ハッシュマップ・基底クラス) */ template <typename Key, typename Val> struct HashMap : HashMapImpl::HashMapBase<Key, pair<Key, Val>> { using base = typename HashMapImpl::HashMapBase<Key, pair<Key, Val>>; using HashMapImpl::HashMapBase<Key, pair<Key, Val>>::HashMapBase; using Data = pair<Key, Val>; Val& operator[](const Key& k) { typename base::u32 h = base::inner_hash(k); while (true) { if (base::occupied_flag[h] == false) { if (base::extend_rate(base::occupied + 1)) { base::extend(); h = base::hash(k); continue; } base::data[h].first = k; base::data[h].second = Val(); base::occupied_flag[h] = true; ++base::occupied, ++base::s; return base::data[h].second; } if (base::data[h].first == k) { if (base::deleted_flag[h] == true) { base::data[h].second = Val(); base::deleted_flag[h] = false; ++base::s; } return base::data[h].second; } h = (h + 1) & (base::cap - 1); } } typename base::itr emplace(const Key& key, const Val& val) { return base::insert(Data(key, val)); } }; /* * @brief ハッシュマップ(連想配列) * @docs docs/hashmap/hashmap.md **/ using namespace Nyaan; ll calc(ll N, ll W, vl A) { // |F| = N + 2 vl F{1, 2}; while (sz(F) < N + 2) { ll f = F[sz(F) - 1] + F[sz(F) - 2]; F.push_back(f); } // 価値 v を達成できるか? ll ok = 0, ng = accumulate(begin(F), begin(F) + N, 0LL) + 1; // 便宜上 N += 2 する N += 2; A.push_back(W + 1), A.push_back(W + 1); // 先頭にも追加 N++; F.insert(begin(F), 1), A.insert(begin(A), W + 1); trc(N, W, ng); trc(F); trc(A); auto rui = mkrui(A); trc(rui); vi buf[2][100]; rep(last, 2) rep(len, N + 1) { vi& bit2 = buf[last][len]; bit2.push_back(last); rep(_, len) bit2.push_back(1); bit2.push_back(0); regr(j, 2, sz(bit2)) { if (bit2[j - 2] and bit2[j - 1]) { bit2[j - 2] = bit2[j - 1] = 0, bit2[j] = 1; } } } while (ok + 1 < ng) { ll v = (ok + ng) / 2; vi bit(N); for (ll x = v, i = N - 1; i >= 0; i--) { if (x >= F[i]) bit[i] = 1, x -= F[i]; } trc(bit); // dp 達成できる重みの最小 // dp[i][f][s] : 今、要素 i の不使用が確定している // f 1 : i-1 bit 目まで 1 以上 : 0 未満 // last : 仮の bit が s ll dp[100][2][2]; rep(i, N) rep(f, 2) rep(last, 2) dp[i][f][last] = infLL; dp[0][1][0] = 0; rep(i, N) { rep(f, 2) rep(last, 2) { if (dp[i][f][last] == infLL) continue; rep(len, N + 1) { // [i+1, ..., i+l] を 1, i+l+1 を 0 にする if (i + len + 1 >= N) break; vi& bit2 = buf[last][len]; int large = -1; repr(j, sz(bit2) - 1) { if (bit2[j] > bit[i + j]) large = 1; if (bit2[j] < bit[i + j]) large = 0; if (large != -1) break; } if (large == -1) large = f; ll cost = rui[i + len + 1] - rui[i + 1]; amin(dp[i + len + 1][large][bit2.back()], dp[i][f][last] + cost); } } } ll curans = dp[N - 1][1][0]; trc(v, curans); (curans <= W ? ok : ng) = v; } return ok; } void q() { inl(N, W); vl A(N); in(A); out(calc(N, W, A)); } void Nyaan::solve() { int t = 1; in(t); while (t--) q(); }