#392315 (C++14) No.907 Continuous Kadomatu

提出ソース

結果

問題	No.907 Continuous Kadomatu
ユーザー	jell
提出日時	2019-10-22 18:19:37
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	37 ms / 2,000 ms
コード長	16,854 bytes
コンパイル時間	1,751 ms
コンパイル使用メモリ	140,260 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-07-04 11:04:47
合計ジャッジ時間	3,158 ms
ジャッジサーバーID （参考情報）	judge3 / judge1

このコードへのチャレンジ
（要ログイン）

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	3 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	11 ms 5,376 KB
testcase_06	AC	4 ms 5,376 KB
testcase_07	AC	8 ms 5,376 KB
testcase_08	AC	9 ms 5,376 KB
testcase_09	AC	8 ms 5,376 KB
testcase_10	AC	13 ms 5,376 KB
testcase_11	AC	15 ms 5,376 KB
testcase_12	AC	24 ms 5,376 KB
testcase_13	AC	25 ms 5,376 KB
testcase_14	AC	26 ms 5,376 KB
testcase_15	AC	30 ms 5,376 KB
testcase_16	AC	27 ms 5,376 KB
testcase_17	AC	28 ms 5,376 KB
testcase_18	AC	27 ms 5,376 KB
testcase_19	AC	28 ms 5,376 KB
testcase_20	AC	18 ms 5,376 KB
testcase_21	AC	18 ms 5,376 KB
testcase_22	AC	18 ms 5,376 KB
testcase_23	AC	37 ms 5,376 KB
testcase_24	AC	37 ms 5,376 KB
testcase_25	AC	2 ms 5,376 KB
testcase_26	AC	2 ms 5,376 KB
testcase_27	AC	2 ms 5,376 KB
testcase_28	AC	3 ms 5,376 KB
testcase_29	AC	3 ms 5,376 KB

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:317:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  317 | main()
      | ^~~~

ソースコード

raw source code

#ifdef stderr_path
    #define LOCAL
#endif
#ifdef LOCAL
    #define _GLIBCXX_DEBUG
#else
    #pragma GCC optimize("Ofast")
#endif
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <unordered_set>

// #define NDEBUG
#define __precision__ 10
#define debug_stream std::cerr
#define iostream_untie true

#define all(v) std::begin(v), std::end(v)
#define rall(v) std::rbegin(v), std::rend(v)
#define __odd(n) ((n) & 1)
#define __even(n) (not __odd(n))
#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)

using i32 = int_least32_t;
using i64 = int_least64_t;
using ui32 = uint_least32_t;
using ui64 = uint_least64_t;
using pii = std::pair<i32, i32>;
using pll = std::pair<i64, i64>;
template <class T> using heap = std::priority_queue<T>;
template <class T> using minheap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template <class T> constexpr T inf = std::numeric_limits<T>::max() / T(2) - T(1123456);

namespace execution
{
    std::chrono::system_clock::time_point start_time, end_time;
    void print_elapsed_time()
    {
        end_time = std::chrono::system_clock::now();
        std::cerr << "\n----- Exec time : ";
        std::cerr << std::chrono::duration_cast<std::chrono::milliseconds>(
                         end_time - start_time)
                         .count();
        std::cerr << " ms -----\n\n";
    }
    struct setupper
    {
        setupper()
        {
            if(iostream_untie)
            {
                std::ios::sync_with_stdio(false);
                std::cin.tie(nullptr);
            }
            std::cout << std::fixed << std::setprecision(__precision__);
#ifdef stderr_path
            if(freopen(stderr_path, "a", stderr))
            {
                std::cerr << std::fixed << std::setprecision(__precision__);
            }
#endif
#ifdef stdout_path
            if(not freopen(stdout_path, "w", stdout))
            {
                freopen("CON", "w", stdout);
                std::cerr << "Failed to open the stdout file\n\n";
            }
            std::cout << "";
#endif
#ifdef stdin_path
            if(not freopen(stdin_path, "r", stdin))
            {
                freopen("CON", "r", stdin);
                std::cerr << "Failed to open the stdin file\n\n";
            }
#endif
#ifdef LOCAL
            std::cerr << "----- stderr at LOCAL -----\n\n";
            atexit(print_elapsed_time);
            start_time = std::chrono::system_clock::now();
#else
            fclose(stderr);
#endif
        }
    } __setupper;
} // namespace execution

class myclock_t
{
    std::chrono::system_clock::time_point built_pt, last_pt;
    int built_ln, last_ln;
    std::string built_func, last_func;
    bool is_built;

  public:
    explicit myclock_t() : is_built(false) {}
    void build(int crt_ln, const std::string &crt_func)
    {
        is_built = true;
        last_pt = built_pt = std::chrono::system_clock::now();
        last_ln = built_ln = crt_ln, last_func = built_func = crt_func;
    }
    void set(int crt_ln, const std::string &crt_func)
    {
        if(is_built)
        {
            last_pt = std::chrono::system_clock::now();
            last_ln = crt_ln, last_func = crt_func;
        }
        else
        {
            debug_stream << "[ " << crt_ln << " : " << crt_func << " ] "
                         << "myclock_t::set failed (yet to be built!)\n";
        }
    }
    void get(int crt_ln, const std::string &crt_func)
    {
        if(is_built)
        {
            std::chrono::system_clock::time_point crt_pt(
                std::chrono::system_clock::now());
            int64_t diff =
                std::chrono::duration_cast<std::chrono::milliseconds>(crt_pt -
                                                                      last_pt)
                    .count();
            debug_stream << diff << " ms elapsed from"
                         << " [ " << last_ln << " : " << last_func << " ]";
            if(last_ln == built_ln) debug_stream << " (when built)";
            debug_stream << " to"
                         << " [ " << crt_ln << " : " << crt_func << " ]"
                         << "\n";
            last_pt = built_pt, last_ln = built_ln, last_func = built_func;
        }
        else
        {
            debug_stream << "[ " << crt_ln << " : " << crt_func << " ] "
                         << "myclock_t::get failed (yet to be built!)\n";
        }
    }
};
#ifdef LOCAL
myclock_t __myclock;
#define build_clock() __myclock.build(__LINE__, __func__)
#define set_clock() __myclock.set(__LINE__, __func__)
#define get_clock() __myclock.get(__LINE__, __func__)
#else
#define build_clock() ((void)0)
#define set_clock() ((void)0)
#define get_clock() ((void)0)
#endif

namespace std
{
    template <class RAitr> void rsort(RAitr __first, RAitr __last) { sort(__first, __last, greater<>()); }
    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); }
    };
    template <class T, class U> istream &operator>>(std::istream &s, pair<T, U> &p) { return s >> p.first >> p.second; }
    template <class T, class U> ostream &operator<<(std::ostream &s, const pair<T, U> &p) { return s << p.first << " " << p.second; }
    template <class T> istream &operator>>(istream &s, vector<T> &v) { for(T &e : v) s >> e; return s; }
    template <class T>
    ostream &operator<<(ostream &s, const vector<T> &v)
    {
        bool is_front = true;
        for(const T &e : v)
        {
            if(not is_front) s << ' ';
            else  is_front = false;
            s << e;
        }
        return s;
    }
    template <class tuple_t, size_t index>
    struct tupleos
    {
        static ostream &apply(ostream &s, const tuple_t &t)
        {
            tupleos<tuple_t, index - 1>::apply(s, t);
            return s << " " << get<index>(t);
        }
    };
    template <class tuple_t>
    struct tupleos<tuple_t, 0>
    {
        static ostream &apply(ostream &s, const tuple_t &t) { return s << get<0>(t); }
    };
    template <class... T>
    ostream &operator<<(ostream &s, const tuple<T...> &t)
    { return tupleos<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(s, t); }
    template <> ostream &operator<<(ostream &s, const tuple<> &t) { return s; }
    string revstr(string str) { reverse(str.begin(), str.end()); return str; }
} // namespace std

#ifdef LOCAL
#define dump(...)                                                              \
    debug_stream << "[ " << __LINE__ << " : " << __FUNCTION__ << " ]\n",       \
        dump_func(#__VA_ARGS__, __VA_ARGS__)
template <class T>
void dump_func(const char *ptr, const T &x)
{
    debug_stream << '\t';
    for(char c = *ptr; c != '\0'; c = *++ptr)
    {
        if(c != ' ') debug_stream << c;
    }
    debug_stream << " : " << x << '\n';
}
template <class T, class... rest_t>
void dump_func(const char *ptr, const T &x, rest_t... rest)
{
    debug_stream << '\t';
    for(char c = *ptr; c != ','; c = *++ptr)
    {
        if(c != ' ') debug_stream << c;
    }
    debug_stream << " : " << x << ",\n";
    dump_func(++ptr, rest...);
}
#else
#define dump(...) ((void)0)
#endif
template <class P>
void read_range(P __first, P __second) { for(P i = __first; i != __second; ++i) std::cin >> *i; }
template <class P> void write_range(P __first, P __second)
{ for(P i = __first; i != __second; std::cout << (++i == __second ? '\n' : ' ')) std::cout << *i; }

// substitue y for x if x > y.
template <class T> bool sbmin(T &x, const T &y) { return x > y ? x = y, true : false; }
// substitue y for x if x < y.
template <class T> bool sbmax(T &x, const T &y) { return x < y ? x = y, true : false; }
// binary search.
i64 bin(const std::function<bool(i64)> &f, i64 ok, i64 ng)
{
    while(std::abs(ok - ng) > 1)
    {
        i64 mid = (ok + ng) / 2;
        (f(mid) ? ok : ng) = mid;
    }
    return ok;
}
double bin(const std::function<bool(double)> &f, double ok, double ng, const double eps)
{
    while(std::abs(ok - ng) > eps)
    {
        double mid = (ok + ng) / 2;
        (f(mid) ? ok : ng) = mid;
    }
    return ok;
}
// 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); }
template <class A> void reset(A &array) { memset(array, 0, sizeof(array)); }
void for_permutation(size_t n, const std::function<void(const std::vector<size_t>&)> &f)
{
    std::vector<size_t> idx(n); iota(idx.begin(), idx.end(), 0);
    do { f(idx); } while(std::next_permutation(idx.begin(), idx.end()));
}
void for_permutation(size_t n, const std::function<void(size_t*, size_t*)> &f)
{
    size_t *__begin = new size_t[n], *__end = __begin + n;
    std::iota(__begin, __end, 0);
    do { f(__begin, __end); } while(std::next_permutation(__begin, __end));
    delete[] __begin;
}

/* The main code follows. */

using namespace std;

main()
{
    void __solve();

    ui32 t = 1;

#ifdef LOCAL
    t = 1;
#endif

    // cin >> t;

    while(t--)
    {
        __solve();
    }
}


namespace math
{
    template <int mod>
    struct modint
    {
        int rep;

        constexpr modint() : rep(0)
        {}
        constexpr modint(int_fast64_t y)
            : rep(y >= 0 ? y % mod : (mod - (-y) % mod) % mod)
        {}

        constexpr modint &operator+=(const modint &p)
        {
            return (rep += p.rep) < mod ? 0 : rep -= mod, *this;
        }

        constexpr modint &operator++()
        {
            return ++rep, *this;
        }

        constexpr modint operator++(int)
        {
            modint t = *this;
            return ++rep, t;
        }

        constexpr modint &operator-=(const modint &p)
        {
            return (rep += mod - p.rep) < mod ? 0 : rep -= mod, *this;
        }

        constexpr modint &operator--()
        {
            return --rep, *this;
        }

        constexpr modint operator--(int)
        {
            modint t = *this;
            return --rep, t;
        }

        constexpr modint &operator*=(const modint &p)
        {
            return rep = (int_fast64_t)rep * p.rep % mod, *this;
        }

        constexpr modint &operator/=(const modint &p)
        {
            return *this *= inverse(p);
        }

        // constexpr modint &operator%=(int m) { return rep %= m, *this; }

        constexpr modint operator-() const
        {
            return modint(-rep);
        }

        constexpr modint operator+(const modint &p) const
        {
            return modint(*this) += p;
        }

        constexpr modint operator-(const modint &p) const
        {
            return modint(*this) -= p;
        }

        constexpr modint operator*(const modint &p) const
        {
            return modint(*this) *= p;
        }

        constexpr modint operator/(const modint &p) const
        {
            return modint(*this) /= p;
        }

        // constexpr modint operator%(int m) const { return modint(*this) %= m;
        // }

        constexpr bool operator==(const modint &p) const
        {
            return rep == p.rep;
        }

        constexpr bool operator!=(const modint &p) const
        {
            return rep != p.rep;
        }

        constexpr bool operator!() const
        {
            return !rep;
        }

        // constexpr bool operator>(const modint &p) const { return rep > p.rep; }

        // constexpr bool operator<(const modint &p) const { return rep <  p.rep; }

        // constexpr bool operator>=(const modint &p) const { return rep >= p.rep; }

        // constexpr bool operator<=(const modint &p) const { return rep <= p.rep; }

        constexpr friend modint<mod> inverse(const modint<mod> &p)
        {
            int a = p.rep, b = mod, u = 1, v = 0;
            while(b > 0)
            {
                int t = a / b;
                a -= t * b;
                a ^= b ^= a ^= b;
                u -= t * v;
                u ^= v ^= u ^= v;
            }
            return modint(u);
        }

        constexpr friend modint pow(modint p, int_fast64_t e)
        {
            if(e < 0) e = (e % (mod - 1) + mod - 1) % (mod - 1);
            modint ret = 1;
            while(e)
            {
                if(e & 1) ret *= p;
                p *= p;
                e >>= 1;
            }
            return ret;
        }

        friend std::ostream &operator<<(std::ostream &s, const modint &p)
        {
            return s << p.rep;
        }

        friend std::istream &operator>>(std::istream &s, modint &p)
        {
            int_fast64_t rep;
            p = modint((s >> rep, rep));
            return s;
        }
    };
} // namespace math

using namespace math;
const i32 mod=1e9+7;
using mint=modint<mod>;

void __solve()
{
    i32 n; cin>>n;
    vector<i32> a(n),b(n),c(n*2);
    for(i32 i=0; i<n; ++i)
    {
        cin>>a[i]>>b[i];
        c[i]=a[i],c[i+n]=b[i];
    }
    sort(all(c));
    c.erase(unique(all(c)),end(c));
    for(i32 i=0; i<n; ++i)
    {
        a[i]=lower_bound(all(c),a[i])-c.begin();
        b[i]=lower_bound(all(c),b[i])-c.begin();
    }
    const i32 m=c.size();
    mint len[444];
    {
        for(i32 i=0; i<m-1; ++i)
        {
            len[i]=c[i+1]-c[i];
        }
    }

    mint kad[222];
    {
        mint dp[222];
        dp[0]=1;
        kad[1]=1;
        mint inv[222];
        inv[1]=1;
        for(i32 i=2; i<=n; ++i)
        {
            inv[i]=-inv[mod%i]*(mod/i);
            if(__even(i))
            {
                mint acc=0;
                for(i32 j=0; j<i; ++j)
                {
                    mint prv=dp[j];
                    dp[j]=acc*inv[i];
                    acc+=prv;
                }
            }
            else
            {
                mint acc=0;
                for(i32 j=i-1; j>=0; --j)
                {
                    acc+=dp[j];
                    dp[j]=acc*inv[i];
                }
            }
            for(i32 j=0; j<i; ++j)
            {
                kad[i]+=dp[j];
            }
        }
    }

    mint dp[444][222],nx[444][222];
    {
        mint den=inverse(mint(c[b[0]]-c[a[0]]));
        for(i32 j=a[0]; j<b[0]; ++j)
        {
            dp[j][1]=den*len[j];
        }
    }
    for(i32 i=1; i<n; ++i)
    {
        reset(nx);
        mint den=mint(1)/mint(c[b[i]]-c[a[i]]);
        if(i&1)
        {
            mint acc=0;
            for(i32 j=0; j<m; ++j)
            {
                mint p=den*len[j];
                nx[j][1]+=acc*p;
                for(i32 k=1; k<=i; ++k)
                {
                    if(!dp[j][k]) continue;
                    nx[j][k+1]+=dp[j][k]*p;
                    acc+=dp[j][k]*kad[k];
                }
            }
        }
        else
        {
            mint acc=0;
            for(i32 j=m-1; j>=0; --j)
            {
                mint p=den*len[j];
                nx[j][1]+=acc*p;
                for(i32 k=1; k<=i; ++k)
                {
                    if(!dp[j][k]) continue;
                    nx[j][k+1]+=dp[j][k]*p;
                    acc+=dp[j][k]*kad[k];
                }
            }
        }

        for(i32 j=0; j<a[i]; ++j)
        {
            reset(nx[j]);
        }
        for(i32 j=b[i]; j<m; ++j)
        {
            reset(nx[j]);
        }
        swap(nx,dp);
    }

    mint ans=0;
    for(i32 i=1; i<=n; ++i)
    {
        for(i32 j=0; j<m; ++j)
        {
            ans+=dp[j][i]*kad[i];
        }
    }
    cout << ans << "\n";
}

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード