結果

問題 No.992 最長増加部分列の数え上げ
ユーザー jell
提出日時 2020-04-06 22:43:56
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 296 ms / 2,000 ms
コード長 12,570 bytes
コンパイル時間 1,605 ms
コンパイル使用メモリ 108,196 KB
最終ジャッジ日時 2025-01-09 14:45:31
ジャッジサーバーID
（参考情報） 		judge5 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 42
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:318:1: warning: ISO C++ forbids declaration of ‘main’ with no type [-Wreturn-type]
  318 | main()
      | ^~~~

ソースコード

diff #
プレゼンテーションモードにする

#include <iostream>
#include <vector>
#include <bitset>
#include <functional>
#include <queue>
#include <algorithm>
#include <map>
#include <set>
#include <tuple>
#include <numeric>
using namespace std;
#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
template <class T>
struct coordinate_compression
{
    std::vector<T> raw, uniquely;
    std::vector<size_t> compressed;
    coordinate_compression(std::vector<T> &_raw) : raw(_raw), compressed(_raw.size())
    {
        std::sort(_raw.begin(), _raw.end());
        _raw.erase(std::unique(_raw.begin(), _raw.end()), _raw.end());
        uniquely = _raw;
        for(size_t i = 0; i != raw.size(); ++i)
        {
            compressed[i] = std::lower_bound(_raw.begin(), _raw.end(), raw[i]) - _raw.begin();
        }
    }
    size_t operator[](const size_t idx) const
    {
        assert(idx < compressed.size());
        return compressed[idx];
    }
    size_t kind() const { return uniquely.size(); }
    T restore(const size_t ord) const
    {
        assert(ord < uniquely.size());
        return uniquely[ord];
    }
    size_t order_of(const T &val) const
    {
        return std::lower_bound(uniquely.begin(), uniquely.end(), val) - uniquely.begin();
    }
};
#include <cassert>
#include <vector>
template <class monoid>
class segment_tree
{
    using size_type = typename std::vector<monoid>::size_type;
    class unique_queue
    {
        size_type *que, *begin, *end;
        bool *in;
    public:
        unique_queue() : que(), begin(), end(), in() {}
        unique_queue(size_type n) : que(new size_type[n]), begin(que), end(que), in(new bool[n]{}) {}
        ~unique_queue() { delete[] que; delete[] in; }
        void clear() { begin = end = que; }
        bool empty() const { return begin == end; }
        bool push(size_type index)
        {
            if(in[index]) return false;
            return in[*end++ = index] = true;
        }
        size_type pop() { return in[*begin] = false, *begin++; }
    }; // struct unique_queue
    size_type size_orig, height, size_ext;
    std::vector<monoid> data;
    unique_queue que;
    void recalc(const size_type node) { data[node] = data[node << 1] + data[node << 1 | 1]; }
    void rebuild()
    {
        while(!que.empty())
        {
            const size_type index = que.pop() >> 1;
            if(index && que.push(index)) recalc(index);
        }
        que.clear();
    }
    template <class pred_type>
    size_type left_search_subtree(size_type index, const pred_type pred, monoid mono) const
    {
        assert(index);
        while(index < size_ext)
        {
            const monoid tmp = data[(index <<= 1) | 1] + mono;
            if(pred(tmp)) mono = tmp;
            else ++index;
        }
        return ++index -= size_ext;
    }
    template <class pred_type>
    size_type right_search_subtree(size_type index, const pred_type pred, monoid mono) const
    {
        assert(index);
        while(index < size_ext)
        {
            const monoid tmp = mono + data[index <<= 1];
            if(pred(tmp)) ++index, mono = tmp;
        }
        return (index -= size_ext) < size_orig ? index : size_orig;
    }
public:
    segment_tree(const size_type n = 0) : size_orig{n}, height(n > 1 ? 32 - __builtin_clz(n - 1) : 0), size_ext{1u << height}, data(size_ext << 1), 
        que(size_ext << 1) {}
    segment_tree(const size_type n, const monoid &init) : segment_tree(n)
    {
        std::fill(std::next(std::begin(data), size_ext), std::end(data), init);
        for(size_type i{size_ext}; --i; ) recalc(i);
    }
    template <class iter_type, class value_type = typename std::iterator_traits<iter_type>::value_type>
    segment_tree(iter_type first, iter_type last)
        : size_orig(std::distance(first, last)), height(size_orig > 1 ? 32 - __builtin_clz(size_orig - 1) : 0), size_ext{1u << height}, data(size_ext 
            << 1), que(size_ext << 1)
    {
        static_assert(std::is_constructible<monoid, value_type>::value, "monoid(iter_type::value_type) is not constructible.");
        for(auto iter{std::next(std::begin(data), size_ext)}; iter != std::end(data) && first != last; ++iter, ++first) *iter = monoid{*first};
        for(size_type i{size_ext}; --i; ) recalc(i);
    }
    template <class container_type, typename = typename container_type::value_type>
    segment_tree(const container_type &cont) : segment_tree(std::begin(cont), std::end(cont)) {}
    size_type size() const { return size_orig; }
    size_type capacity() const { return size_ext; }
    // reference to the element at the index.
    typename decltype(data)::reference operator[](size_type index)
    {
        assert(index < size_orig);
        que.push(index |= size_ext);
        return data[index];
    }
    // const reference to the element at the index.
    typename decltype(data)::const_reference operator[](size_type index) const
    {
        assert(index < size_orig);
        return data[index |= size_orig];
    }
    monoid fold(size_type first, size_type last)
    {
        assert(last <= size_orig);
        rebuild();
        monoid leftval{}, rightval{};
        first += size_ext, last += size_ext;
        while(first < last)
        {
            if(first & 1) leftval = leftval + data[first++];
            if(last & 1) rightval = data[--last] + rightval;
            first >>= 1, last >>= 1;
        }
        return leftval + rightval;
    }
    monoid fold() { return fold(0, size_orig); }
    template <class pred_type>
    size_type left_search(size_type right, const pred_type pred)
    {
        assert(right <= size_orig);
        rebuild();
        right += size_ext;
        monoid mono{};
        for(size_type left{size_ext}; left != right; left >>= 1, right >>= 1)
        {
            if((left & 1) != (right & 1))
            {
                const monoid tmp = data[--right] + mono;
                if(!pred(tmp)) return left_search_subtree(right, pred, mono);
                mono = tmp;
            }
        }
        return 0;
    }
    template <class pred_type>
    size_type right_search(size_type left, const pred_type pred)
    {
        assert(left <= size_orig);
        rebuild();
        left += size_ext;
        monoid mono{};
        for(size_type right{size_ext << 1}; left != right; left >>= 1, right >>= 1)
        {
            if((left & 1) != (right & 1))
            {
                const monoid tmp = mono + data[left];
                if(!pred(tmp)) return right_search_subtree(left, pred, mono);
                mono = tmp;
                ++left;
            }
        }
        return size_orig;
    }
}; // class segment_tree
using mint=modint<int(1e9+7)>;
struct mono_type
{
    int val;
    mint cnt;
    mono_type(int v=0,int c=0) : val(v),cnt(c) {}
    // binary operation
    mono_type operator+(const mono_type& rhs) const { return mono_type{*this} += rhs; }
    // operation assignment
    mono_type &operator+=(const mono_type &rhs)
    {
        if(val<rhs.val) *this=rhs;
        else if(val==rhs.val) cnt+=rhs.cnt;
        return *this;
    }
};
main()
{
    int n; cin>>n;
    vector<int> a(n);
    for(int &e :a) cin>>e;
    coordinate_compression<int> comp(a);
    segment_tree<mono_type> seg(n+1, mono_type{0,0});
    seg[0].cnt++;
    for(int i=0;i<n;++i)
    {
        int e=comp[i]+1;
        auto f=seg.fold(0,e);
        f.val++;
        seg[e]+=f;
    }
    cout << seg.fold().cnt << "\n";
}
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