結果

問題 No.2167 Fibonacci Knapsack
ユーザー NyaanNyaan
提出日時 2022-12-19 01:34:09
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 20,451 bytes
コンパイル時間 2,449 ms
コンパイル使用メモリ 265,880 KB
最終ジャッジ日時 2025-02-09 16:32:53
ジャッジサーバーID
(参考情報)
judge2 / judge3
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other TLE * 21
権限があれば一括ダウンロードができます
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]
  422 |     : iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&> {
      |       ^~~~~~~~
In file included from /usr/include/c++/13/bits/stl_algobase.h:65,
                 from /usr/include/c++/13/algorithm:60,
                 from main.cpp:11:
/usr/include/c++/13/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]
  424 |       iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&>;
      |       ^~~~~~~~
/usr/include/c++/13/bits/stl_iterator_base_types.h:127:34: note: declared here
  127 |     struct _GLIBCXX17_DEPRECATED iterator
      |                                  ^~~~~~~~

ソースコード

diff #
プレゼンテーションモードにする

/**
* date : 2022-12-19 01:34:03
*/
#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) ()
*/
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 ()
* @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);
}
// v
ll ok = 0, ng = accumulate(begin(F), begin(F) + N, 0LL) + 1;
// 便 N += 2
N += 2;
A.push_back(W + 1), A.push_back(W + 1);
//
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);
while (ok + 1 < ng) {
ll v = (ok + ng) / 2;
vl 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
// dp[i][f][s] : i 使
// f 1 : i-1 bit  1 : 0
// last : bit 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] 1, i+l+1 0
if (i + len + 1 >= N) break;
vi bit2;
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;
}
}
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();
}
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