結果

問題 No.1036 Make One With GCD 2
ユーザー jelljell
提出日時 2020-05-13 23:12:43
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 236 ms / 2,000 ms
コード長 17,985 bytes
コンパイル時間 3,034 ms
コンパイル使用メモリ 229,832 KB
実行使用メモリ 15,576 KB
最終ジャッジ日時 2023-10-14 20:30:24
合計ジャッジ時間 10,425 ms
ジャッジサーバーID
(参考情報)
judge13 / judge11
このコードへのチャレンジ(β)

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 113 ms
5,088 KB
testcase_01 AC 103 ms
4,352 KB
testcase_02 AC 97 ms
15,364 KB
testcase_03 AC 13 ms
4,348 KB
testcase_04 AC 21 ms
4,352 KB
testcase_05 AC 1 ms
4,352 KB
testcase_06 AC 1 ms
4,348 KB
testcase_07 AC 33 ms
4,348 KB
testcase_08 AC 28 ms
4,348 KB
testcase_09 AC 143 ms
4,348 KB
testcase_10 AC 131 ms
4,352 KB
testcase_11 AC 145 ms
4,352 KB
testcase_12 AC 136 ms
4,348 KB
testcase_13 AC 223 ms
4,348 KB
testcase_14 AC 236 ms
4,352 KB
testcase_15 AC 223 ms
4,352 KB
testcase_16 AC 223 ms
4,348 KB
testcase_17 AC 226 ms
4,348 KB
testcase_18 AC 2 ms
4,352 KB
testcase_19 AC 1 ms
4,348 KB
testcase_20 AC 2 ms
4,352 KB
testcase_21 AC 2 ms
4,348 KB
testcase_22 AC 211 ms
4,352 KB
testcase_23 AC 160 ms
4,348 KB
testcase_24 AC 226 ms
4,348 KB
testcase_25 AC 209 ms
4,352 KB
testcase_26 AC 219 ms
4,352 KB
testcase_27 AC 2 ms
4,352 KB
testcase_28 AC 1 ms
4,348 KB
testcase_29 AC 1 ms
4,348 KB
testcase_30 AC 1 ms
4,352 KB
testcase_31 AC 1 ms
4,352 KB
testcase_32 AC 1 ms
4,348 KB
testcase_33 AC 2 ms
4,348 KB
testcase_34 AC 1 ms
4,348 KB
testcase_35 AC 2 ms
4,348 KB
testcase_36 AC 1 ms
4,348 KB
testcase_37 AC 2 ms
4,352 KB
testcase_38 AC 95 ms
15,576 KB
testcase_39 AC 117 ms
4,348 KB
testcase_40 AC 156 ms
4,352 KB
testcase_41 AC 153 ms
4,352 KB
testcase_42 AC 152 ms
4,348 KB
testcase_43 AC 140 ms
7,300 KB
testcase_44 AC 144 ms
5,096 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

/* 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__ 15
#define iostream_untie true
#include <bits/stdc++.h>
#include <ext/rope>
#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\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
            freopen(stderr_path, "a", stderr);
    #endif
    #ifdef LOCAL
            cerr << fixed << setprecision(__precision__) << boolalpha << "\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 "clock.hpp"
#else
    #define build_clock() ((void)0)
    #define set_clock() ((void)0)
    #define get_clock() ((void)0)
#endif

#ifdef LOCAL
    #include "dump.hpp"
#else
    #define dump(...) ((void)0)
#endif

/* function utility start */
// lambda wrapper for recursive method.
template <class lambda_type>
class make_recursive
{
    lambda_type func;
public:
    make_recursive(lambda_type &&f) : func(std::move(f)) {}
    template <class... Args> auto operator()(Args &&... args) const { return func(*this, std::forward<Args>(args)...); }
};
/*
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 chmin(T &x, const T &y) { return x > y ? x = y, true : false; }
// substitute y for x if x < y.
template <class T> inline bool chmax(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;
}
// size of array.
template <class A, size_t N> size_t size(A (&array)[N]) { return N; }
// 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 p32 = pair<i32, i32>; using p64 = 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 namespace __gnu_cxx;
/* using alias end */

/* library start */

#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

#include <cassert>
#include <iterator>

template <class monoid>
class deque_aggregation
{
    template <bool left_operand_added>
    class stack_aggregation
    {
        friend deque_aggregation;
        struct data { monoid value, acc; };
        size_t capacity;
        data *stack, *end, *itr;
        bool top_referred;

        void recalc()
        {
            if(top_referred)
            {
                assert(itr != stack);
                top_referred = false;
                monoid top_val{top().value};
                pop();
                push(top_val);
            }
        }

    public:
        stack_aggregation() : capacity(1), stack(new data[1]), end(std::next(stack)), itr(stack), top_referred() {}
        ~stack_aggregation() { delete[] stack; }

        bool empty() const { return stack == itr; }
        size_t size() const { return itr - stack; }

        // copy of the element at the index.
        data operator[](size_t index) const
        {
            assert(index < size());
            recalc();
            return stack[index];
        }

        // reference to the last element
        data &top()
        {
            assert(itr != stack);
            top_referred = true;
            return *std::prev(itr);
        }

        void pop()
        {
            assert(itr != stack);
            --itr;
            top_referred = false;
        }

        void push(const monoid &mono)
        {
            recalc();
            if(itr == end)
            {
                data *tmp = new data[capacity << 1];
                std::swap(stack, tmp);
                end = (itr = std::copy(tmp, tmp + capacity, stack)) + capacity;
                capacity <<= 1;
                delete[] tmp;
            }
            if(left_operand_added) *itr = data{mono, mono + fold()};
            else *itr = data{mono, fold() + mono};
            ++itr;
        }

        monoid fold()
        {
            if(itr == stack) return monoid();
            recalc();
            return std::prev(itr)->acc;
        }
    }; // class stack_aggregation

    stack_aggregation<true> left;
    stack_aggregation<false> right;

    void balance_to_left()
    {
        if(!left.empty() || right.empty()) return;
        left.recalc(); right.recalc();
        size_t mid = (right.size() + 1) >> 1;
        auto *itr = right.stack + mid;
        do { left.push((--itr)->value); } while(itr != right.stack);
        monoid acc;
        for(auto *p = right.stack + mid; p != right.itr; ++p, ++itr)
        {
            *itr = {p->value, acc = acc + p->value};
        }
        right.itr = itr;
    }

    void balance_to_right()
    {
        if(!right.empty() || left.empty()) return;
        left.recalc(); right.recalc();
        size_t mid = (left.size() + 1) >> 1;
        auto *itr = left.stack + mid;
        do { right.push((--itr)->value); } while(itr != left.stack);
        monoid acc;
        for(auto *p = left.stack + mid; p != left.itr; ++p, ++itr)
        {
            *itr = {p->value, acc = p->value + acc};
        }
        left.itr = itr;
    }

public:
    bool empty() const { return left.empty() && right.empty(); }
    size_t size() const { return left.size() + right.size(); }

    // reference to the first element.
    monoid &front() { assert(!empty()); return balance_to_left(), left.top().value; }

    // reference to the last element.
    monoid &back() { assert(!empty()); return balance_to_right(), right.top().value; }

    // copy of the element at the index.
    monoid operator[](size_t index) const
    {
        assert(index < left.size() + right.size());
        return index < left.size() ? left[index].value : right[index - left.size()].value;
    }

    void push_front(const monoid &mono) { left.push(mono); }

    void push_back(const monoid &mono) { right.push(mono); }

    void pop_front()
    {
        assert(!empty());
        balance_to_left();
        left.pop();
    }

    void pop_back()
    {
        assert(!empty());
        balance_to_right();
        right.pop();
    }

    monoid fold() { return left.fold() + right.fold(); }
}; // class deque_aggregation


/* library end */

/* The main code follows. */

struct solver; template <class T = solver> void _main();
int main() { _main<>(); }

template <class solver>
void _main()
{
    unsigned t = 1;
#ifdef LOCAL
    t = 1;
#endif
    // t = -1; // infinite loop
    // cin >> t; // case number given

    while(t--) solver();
}

struct mono_type
{
    i64 val;
    mono_type(i64 v=0) : val(v) {}

    // binary operation
    mono_type operator+(const mono_type& rhs) const { return mono_type{*this} += rhs; }

    // operation assignment
    mono_type &operator+=(const mono_type &rhs)
    {
        val=gcd(val,rhs.val);
        return *this;
    }
};


struct solver
{

    solver()
    {
        int n; cin>>n;
        deque_aggregation<mono_type> qu;
        i64 ans=0;
        for(int i=0,now=0; i<n; i++)
        {
            i64 a; cin>>a;
            qu.push_back(a);
            while(qu.fold().val==1)
            {
                now++;
                qu.pop_front();
            }
            ans+=now;
        }
        cout << ans << "\n";
    }
};
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