#424793 (C++14) No.979 Longest Divisor Sequence

提出ソース
結果

問題	No.979 Longest Divisor Sequence
ユーザー	jell
提出日時	2020-02-01 13:52:32
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	416 ms / 2,000 ms
コード長	18,916 bytes
コンパイル時間	1,248 ms
コンパイル使用メモリ	131,744 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-09-18 19:57:11
合計ジャッジ時間	2,430 ms
ジャッジサーバーID （参考情報）	judge3 / judge5
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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	3 ms 5,248 KB
testcase_01	AC	3 ms 5,376 KB
testcase_02	AC	3 ms 5,376 KB
testcase_03	AC	3 ms 5,376 KB
testcase_04	AC	3 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	2 ms 5,376 KB
testcase_07	AC	3 ms 5,376 KB
testcase_08	AC	3 ms 5,376 KB
testcase_09	AC	2 ms 5,376 KB
testcase_10	AC	6 ms 5,376 KB
testcase_11	AC	7 ms 5,376 KB
testcase_12	AC	7 ms 5,376 KB
testcase_13	AC	18 ms 5,376 KB
testcase_14	AC	416 ms 5,376 KB
testcase_15	AC	140 ms 5,376 KB
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ソースコード

raw source code
/* preprocessor start */
#ifdef LOCAL
//*
    #define _GLIBCXX_DEBUG  // gcc
/*/
    #define _LIBCPP_DEBUG 0 // clang
//*/
    #define __clock__
    // #define __buffer_check__
#else
    #pragma GCC optimize("Ofast")
/*
    #define _GLIBCXX_DEBUG  // gcc
/*/
//    #define _LIBCPP_DEBUG 0 // clang
//*/
    // #define __buffer_check__
    // #define NDEBUG
#endif
#define __precision__ 10
#define iostream_untie true
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <valarray>
#define __all(v) std::begin(v), std::end(v)
#define __rall(v) std::rbegin(v), std::rend(v)
#define __popcount(n) __builtin_popcountll(n)
#define __clz32(n) __builtin_clz(n)
#define __clz64(n) __builtin_clzll(n)
#define __ctz32(n) __builtin_ctz(n)
#define __ctz64(n) __builtin_ctzll(n)
/* preprocessor end */

namespace std
{
    // hash
    template <class T> size_t hash_combine(size_t seed, T const &key) { return seed ^ (hash<T>()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2)); }
    template <class T, class U> struct hash<pair<T, U>> { size_t operator()(pair<T, U> const &pr) const { return hash_combine(hash_combine(0, pr.first), pr.second); } };
    template <class tuple_t, size_t index = tuple_size<tuple_t>::value - 1> struct tuple_hash_calc { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(tuple_hash_calc<tuple_t, index - 1>::apply(seed, t), get<index>(t)); } };
    template <class tuple_t> struct tuple_hash_calc<tuple_t, 0> { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(seed, get<0>(t)); } };
    template <class... T> struct hash<tuple<T...>> { size_t operator()(tuple<T...> const &t) const { return tuple_hash_calc<tuple<T...>>::apply(0, t); } };
    // iostream
    template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) { return is >> p.first >> p.second; }
    template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << p.first << ' ' << p.second; }
    template <class tuple_t, size_t index> struct tupleis { static istream &apply(istream &is, tuple_t &t) { tupleis<tuple_t, index - 1>::apply(is, t); return is >> get<index>(t); } };
    template <class tuple_t> struct tupleis<tuple_t, SIZE_MAX> { static istream &apply(istream &is, tuple_t &t) { return is; } };
    template <class... T> istream &operator>>(istream &is, tuple<T...> &t) { return tupleis<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(is, t); }
    template <> istream &operator>>(istream &is, tuple<> &t) { return is; }
    template <class tuple_t, size_t index> struct tupleos { static ostream &apply(ostream &os, const tuple_t &t) { tupleos<tuple_t, index - 1>::apply(os, t); return os << ' ' << get<index>(t); } };
    template <class tuple_t> struct tupleos<tuple_t, 0> { static ostream &apply(ostream &os, const tuple_t &t) { return os << get<0>(t); } };
    template <class... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { return tupleos<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(os, t); }
    template <> ostream &operator<<(ostream &os, const tuple<> &t) { return os; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    istream& operator>>(istream& is, Container &cont) { for(auto&& e : cont) is >> e; return is; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    ostream& operator<<(ostream& os, const Container &cont) { bool flag = 1; for(auto&& e : cont) flag ? flag = 0 : (os << ' ', 0), os << e; return os; }
} // namespace std

namespace setting
{
    using namespace std;
    using namespace chrono;
    system_clock::time_point start_time, end_time;
    long long get_elapsed_time() { end_time = system_clock::now(); return duration_cast<milliseconds>(end_time - start_time).count(); }
    void print_elapsed_time() { cerr << "\n----- Exec time : " << get_elapsed_time() << " ms -----\n"; }
    void buffer_check() { char bufc; if(cin >> bufc) cerr << "\n\033[1;35mwarning\033[0m: buffer not empty.\n"; }
    struct setupper
    {
        setupper()
        {
            if(iostream_untie) ios::sync_with_stdio(false), cin.tie(nullptr);
            cout << fixed << setprecision(__precision__);
    #ifdef stderr_path
            if(freopen(stderr_path, "a", stderr)) cerr << fixed << setprecision(__precision__);
    #endif
    #ifdef LOCAL
            cerr << "\n----- stderr at LOCAL -----\n\n";
    #endif
    #ifdef __buffer_check__
            atexit(buffer_check);
    #endif
    #ifdef __clock__
            start_time = system_clock::now();
            atexit(print_elapsed_time);
    #endif
        }
    } __setupper; // struct setupper
} // namespace setting

#ifdef __clock__
    #include "C:\Users\euler\OneDrive\Documents\Competitive_Programming\Library\local\Clock.hpp"
#else
    #define build_clock() ((void)0)
    #define set_clock() ((void)0)
    #define get_clock() ((void)0)
#endif

#ifdef LOCAL
    #include "C:\Users\euler\OneDrive\Documents\Competitive_Programming\Library\local\Dump.hpp"
#else
    #define dump(...) ((void)0)
#endif

/* function utility start */
template <class T, class... types> T read(types... args) noexcept { typename std::remove_const<T>::type obj(args...); std::cin >> obj; return obj; }
#define input(type, var, ...) type var{read<type>(__VA_ARGS__)}
// substitute y for x if x > y.
template <class T> inline bool sbmin(T &x, const T &y) { return x > y ? x = y, true : false; }
// substitute y for x if x < y.
template <class T> inline bool sbmax(T &x, const T &y) { return x < y ? x = y, true : false; }
// binary search on discrete range.
template <class iter_type, class pred_type>
iter_type binary(iter_type __ok, iter_type __ng, pred_type pred)
{
    std::ptrdiff_t dist(__ng - __ok);
    while(std::abs(dist) > 1)
    {
        iter_type mid(__ok + dist / 2);
        if(pred(mid)) __ok = mid, dist -= dist / 2;
        else __ng = mid, dist /= 2;
    }
    return __ok;
}
// binary search on real numbers.
template <class pred_type>
long double binary(long double __ok, long double __ng, const long double eps, pred_type pred)
{
    while(std::abs(__ok - __ng) > eps)
    {
        long double mid{(__ok + __ng) / 2};
        (pred(mid) ? __ok : __ng) = mid;
    }
    return __ok;
}
// reset all bits.
template <class A> void reset(A &array) { memset(array, 0, sizeof(array)); }
// be careful that val is type-sensitive.
template <class T, class A, size_t N> void init(A (&array)[N], const T &val) { std::fill((T*)array, (T*)(array + N), val); }
/* functon utility end */

/* using alias start */
using namespace std;
using i32 = int_least32_t; using i64 = int_least64_t; using u32 = uint_least32_t; using u64 = uint_least64_t;
using pii = pair<i32, i32>; using pll = pair<i64, i64>;
template <class T, class Comp = less<T>> using heap = priority_queue<T, vector<T>, Comp>;
template <class T> using hashset = unordered_set<T>;
template <class Key, class Value> using hashmap = unordered_map<Key, Value>;
/* using alias end */

/* library start */

#ifndef Modint_hpp
#define Modint_hpp
#include <cassert>
#include <iostream>

template <int mod>
class modint
{
    int val;
public:
    constexpr modint() noexcept : val{0} {}
    constexpr modint(long long x) noexcept : val((x %= mod) < 0 ? mod + x : x) {}
    constexpr long long value() const noexcept { return val; }
    constexpr modint operator++(int) noexcept { modint t = *this; return ++val, t; }
    constexpr modint operator--(int) noexcept { modint t = *this; return --val, t; }
    constexpr modint &operator++() noexcept { return ++val, *this; }
    constexpr modint &operator--() noexcept { return --val, *this; }
    constexpr modint operator-() const noexcept { return modint(-val); }
    constexpr modint &operator+=(const modint &other) noexcept { return (val += other.val) < mod ? 0 : val -= mod, *this; }
    constexpr modint &operator-=(const modint &other) noexcept { return (val += mod - other.val) < mod ? 0 : val -= mod, *this; }
    constexpr modint &operator*=(const modint &other) noexcept { return val = (long long)val * other.val % mod, *this; }
    constexpr modint &operator/=(const modint &other) noexcept { return *this *= inverse(other); }
    constexpr modint operator+(const modint &other) const noexcept { return modint(*this) += other; }
    constexpr modint operator-(const modint &other) const noexcept { return modint(*this) -= other; }
    constexpr modint operator*(const modint &other) const noexcept { return modint(*this) *= other; }
    constexpr modint operator/(const modint &other) const noexcept { return modint(*this) /= other; }
    constexpr bool operator==(const modint &other) const noexcept { return val == other.val; }
    constexpr bool operator!=(const modint &other) const noexcept { return val != other.val; }
    constexpr bool operator!() const noexcept { return !val; }
    friend constexpr modint operator+(long long x, modint y) noexcept { return modint(x) + y; }
    friend constexpr modint operator-(long long x, modint y) noexcept { return modint(x) - y; }
    friend constexpr modint operator*(long long x, modint y) noexcept { return modint(x) * y; }
    friend constexpr modint operator/(long long x, modint y) noexcept { return modint(x) / y; }
    static constexpr modint inverse(const modint &other) noexcept
    {
        assert(other != 0);
        int a{mod}, b{other.val}, u{}, v{1}, t{};
        while(b) t = a / b, a ^= b ^= (a -= t * b) ^= b, u ^= v ^= (u -= t * v) ^= v;
        return {u};
    }
    static constexpr modint pow(modint other, long long e) noexcept
    {
        if(e < 0) e = e % (mod - 1) + mod - 1;
        modint res{1};
        while(e) { if(e & 1) res *= other; other *= other, e >>= 1; }
        return res;
    }
    friend std::ostream &operator<<(std::ostream &os, const modint &other) noexcept { return os << other.val; }
    friend std::istream &operator>>(std::istream &is, modint &other) noexcept { long long val; other = {(is >> val, val)}; return is; }
}; // class modint

template <>
class modint<2>
{
    bool val;
public:
    constexpr modint(bool x = false) noexcept : val{x} {}
    constexpr modint(int x) noexcept : val(x & 1) {}
    constexpr modint(long long x) noexcept : val(x & 1) {}
    constexpr operator bool() const noexcept { return val; }
    constexpr bool value() const noexcept { return val; }
    constexpr modint &operator+=(const modint &other) noexcept { return val ^= other.val, *this; }
    constexpr modint &operator-=(const modint &other) noexcept { return val ^= other.val, *this; }
    constexpr modint &operator*=(const modint &other) noexcept { return val &= other.val, *this; }
    constexpr modint &operator/=(const modint &other) noexcept { assert(other.val); return *this; }
    constexpr modint operator!() const noexcept { return !val; }
    constexpr modint operator-() const noexcept { return *this; }
    constexpr modint operator+(const modint &other) const noexcept { return val != other.val; }
    constexpr modint operator-(const modint &other) const noexcept { return val != other.val; }
    constexpr modint operator*(const modint &other) const noexcept { return val && other.val; }
    constexpr modint operator/(const modint &other) const noexcept { assert(other.val); return *this; }
    constexpr bool operator==(const modint &other) const noexcept { return val == other.val; }
    constexpr bool operator!=(const modint &other) const noexcept { return val != other.val; }
    friend constexpr modint operator+(long long x, modint y) noexcept { return x & 1 ? !y : y; }
    friend constexpr modint operator-(long long x, modint y) noexcept { return x & 1 ? !y : y; }
    friend constexpr modint operator*(long long x, modint y) noexcept { return x & 1 ? y : modint<2>{0}; }
    friend constexpr modint operator/(long long x, modint y) noexcept { assert(y.val); return x & 1 ? y : modint<2>{0}; }
    friend std::ostream &operator<<(std::ostream &os, const modint &other) noexcept { return os << other.val; }
    friend std::istream &operator>>(std::istream &is, modint &other) noexcept { long long val; other.val = (is >> val, val & 1); return is; }
}; // class modint specialization

#endif // Modint_hpp

#ifndef Matrix_hpp
#define Matrix_hpp
#include <iostream>
#include <valarray>
#include <vector>

template <class Field>
class matrix
{
    size_t h, w;
    using row_type = std::valarray<Field>;
    using data_type = std::valarray<std::valarray<Field>>;
    data_type data;

    friend std::istream &operator>>(std::istream &is, matrix &x)
    {
        for(size_t i = 0; i != x.h; ++i)
        {
            for(size_t j = 0; j != x.w; ++j) is >> x.data[i][j];
        }
        return is;
    }
    friend std::ostream &operator<<(std::ostream &os, const matrix &x)
    {
        for(size_t i = 0; i != x.h; ++i)
        {
            if(i) os << "\n";
            for(size_t j = 0; j != x.w; ++j) os << (j ? " " : "") << x.data[i][j];
        }
        return os;
    }

    friend matrix transpose(const matrix &x)
    {
        matrix res(x.w, x.h);
        for(size_t i = 0; i != x.w; ++i)
            for(size_t j = 0; j != x.h; ++j)
                res[i][j] = x.data[j][i];
        return res;
    }

    friend matrix pow(matrix x, long long n)
    {
        assert(x.square());
        if(n < 0) x = inverse(x), n = -n;
        matrix res{identity(x.h)};
        while(n)
        {
            if(n & 1) res *= x;
            x *= x, n >>= 1;
        }
        return res;
    }

    friend matrix inverse(const matrix &x)
    {
        assert(x.square());
        matrix ext_x(x.h, x.h * 2), res(x.h);
        for(size_t i = 0; i != x.h; ++i) ext_x.data[i][std::slice(0, x.h, 1)] = x.data[i], ext_x.data[i][i + x.h] = 1;
        if(ext_x.row_canonicalize().size() != x.h) return matrix{0};
        for(size_t i = 0; i != x.h; ++i) res[i] = ext_x.data[i][std::slice(x.h, x.h, 1)];
        return res;
    }

public:
    explicit matrix(size_t _n = 0) : h(_n), w(_n) { resize(_n, _n);}
    matrix(size_t _h, size_t _w) : h(_h), w(_w) { resize(_h, _w); }
    matrix(const data_type &_data) : h(_data.size()), w(_data.size() ? _data[0].size() : 0), data(_data) {}
    operator data_type() const { return data; }

    size_t height() const noexcept { return h; }
    size_t width() const noexcept { return w; }
    bool square() const noexcept { return h == w; }
    row_type &operator[](const size_t i) noexcept { assert(i < data.size()); return data[i]; }
    void resize(size_t h, size_t w, const Field val = Field(0)) { data.resize(h, std::valarray<Field>(val, w)); }

    static matrix identity(const size_t n) noexcept
    {
        data_type data(row_type(n), n);
        for(size_t i = 0; i != n; ++i) data[i][i] = 1;
        return data;
    }

    matrix operator-() const noexcept { return {-data}; }
    matrix &operator+=(const matrix &other) noexcept { data += other.data; return *this; }
    matrix &operator-=(const matrix &other) { data -= other.data; return *this; }
    matrix &operator*=(matrix other) noexcept
    {
        other = transpose(other);
        for(size_t i = 0; i != h; ++i)
        {
            const row_type copied{data[i]};
            for(size_t j = 0; j != other.h; ++j) data[i][j] = (copied * other.data[j]).sum();
        }
        return *this;
    }
    matrix operator+(const matrix &x) const noexcept { return matrix(*this) += x; }
    matrix operator-(const matrix &x) const noexcept { return matrix(*this) -= x; }
    matrix operator*(const matrix &x) const noexcept { return matrix(*this) *= x; }

    // return the list of pivot columns
    std::vector<size_t> row_canonicalize()
    {
        std::vector<size_t> pivots;
        for(size_t j = 0, rank = 0; j != w; ++j)
        {
            row_type *row_ptr = nullptr;
            for(size_t i = rank; i != h; ++i)
            {
                if(data[i][j] != Field{0})
                {
                    const Field f = data[i][j];
                    if(row_ptr) data[i][std::slice(j, w - j, 1)] -= *row_ptr * f;
                    else
                    {
                        swap(data[rank], data[i]);
                        std::slice_array<Field> tmp{data[rank][std::slice(j, w - j, 1)]};
                        tmp = *(row_ptr = new row_type{tmp}) /= f;
                    }
                }
            }
            if(row_ptr)
            {
                for(size_t k = 0; k != rank; ++k)
                {
                    const Field f = data[k][j];
                    data[k][std::slice(j, w - j, 1)] -= *row_ptr * f;
                }
                ++rank;
                pivots.emplace_back(j);
                delete row_ptr;
            }
        }
        return pivots;
    }

    Field determinant() const
    {
        assert(square());
        data_type copied{data};
        Field res{1};
        for(size_t j = 0; j != w; ++j)
        {
            row_type *row_ptr = nullptr;
            for(size_t i = j; i != h; ++i)
            {
                if(copied[i][j] != Field{0})
                {
                    const Field f = copied[i][j];
                    if(row_ptr) copied[i][std::slice(j, w - j, 1)] -= *row_ptr * f;
                    else
                    {
                        swap(copied[i], copied[j]);
                        if(i != j) res = -res;
                        res *= f;
                        std::slice_array<Field> tmp{copied[j][std::slice(j, w - j, 1)]};
                        tmp = *(row_ptr = new row_type{tmp}) /= f;
                    }
                }
            }
            if(!row_ptr) return 0;
        }
        return res;
    }
}; // class matrix

#endif // Matrix_hpp

/* library end */

/* The main code follows. */

using mint=modint<(int)1e9+7>;

struct solver
{

    solver()
    {
        input(int,n);
        int lis[3<<17]={};
        while(n--)
        {
            input(int,a);
            int now=1;
            if(a>1) now+=lis[1];
            for(int d=2;d*d<=a;++d)
            {
                if(a%d) continue;
                sbmax(now,lis[d]+1);
                sbmax(now,lis[a/d]+1);
            }
            lis[a]=now;
        }
        cout << *max_element(__all(lis)) << "\n";
    }
}; // struct solver

int main(int argc, char *argv[])
{
    u32 t; // loop count
#ifdef LOCAL
    t = 1;
#else
    t = 1; // single test case
#endif
    // t = -1; // infinite loop
    // cin >> t; // case number given

    while(t--)
    {
        solver();
    }
}
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結果

テストケース

ソースコード
