#407460 (C++17) No.941 商とあまり

• 問題: No.941 商とあまり
• ユーザー: Pachicobue
• 提出日時: 2019-12-11 02:14:14
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 646 ms / 2,000 ms
• コード長: 6,614 bytes
• コンパイル時間: 2,839 ms
• コンパイル使用メモリ: 218,052 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-06-24 06:29:32
• 合計ジャッジ時間: 12,058 ms
• ジャッジサーバーID （参考情報）: judge3 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	59 ms; 5,248 KB
testcase_01	AC	3 ms; 5,376 KB
testcase_02	AC	3 ms; 5,376 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	3 ms; 5,376 KB
testcase_07	AC	37 ms; 5,376 KB
testcase_08	AC	38 ms; 5,376 KB
testcase_09	AC	35 ms; 5,376 KB
testcase_10	AC	39 ms; 5,376 KB
testcase_11	AC	40 ms; 5,376 KB
testcase_12	AC	25 ms; 5,376 KB
testcase_13	AC	24 ms; 5,376 KB
testcase_14	AC	24 ms; 5,376 KB
testcase_15	AC	646 ms; 5,376 KB
testcase_16	AC	610 ms; 5,376 KB
testcase_17	AC	24 ms; 5,376 KB
testcase_18	AC	23 ms; 5,376 KB
testcase_19	AC	23 ms; 5,376 KB
testcase_20	AC	2 ms; 5,376 KB
testcase_21	AC	2 ms; 5,376 KB
testcase_22	AC	2 ms; 5,376 KB
testcase_23	AC	2 ms; 5,376 KB
testcase_24	AC	2 ms; 5,376 KB
testcase_25	AC	2 ms; 5,376 KB
testcase_26	AC	50 ms; 5,376 KB
testcase_27	AC	59 ms; 5,376 KB
testcase_28	AC	24 ms; 5,376 KB
testcase_29	AC	415 ms; 5,376 KB
testcase_30	AC	413 ms; 5,376 KB
testcase_31	AC	25 ms; 5,376 KB
testcase_32	AC	31 ms; 5,376 KB
testcase_33	AC	3 ms; 5,376 KB
testcase_34	AC	23 ms; 5,376 KB
testcase_35	AC	23 ms; 5,376 KB
testcase_36	AC	25 ms; 5,376 KB
testcase_37	AC	48 ms; 5,376 KB
testcase_38	AC	49 ms; 5,376 KB
testcase_39	AC	24 ms; 5,376 KB
testcase_40	AC	2 ms; 5,376 KB
testcase_41	AC	2 ms; 5,376 KB
testcase_42	AC	2 ms; 5,376 KB
testcase_43	AC	23 ms; 5,376 KB
testcase_44	AC	48 ms; 5,376 KB
testcase_45	AC	89 ms; 5,376 KB
testcase_46	AC	65 ms; 5,376 KB
testcase_47	AC	23 ms; 5,376 KB
testcase_48	AC	3 ms; 5,376 KB
testcase_49	AC	186 ms; 5,376 KB
testcase_50	AC	87 ms; 5,376 KB
testcase_51	AC	120 ms; 5,376 KB
testcase_52	AC	62 ms; 5,376 KB
testcase_53	AC	70 ms; 5,376 KB
testcase_54	AC	126 ms; 5,376 KB
testcase_55	AC	124 ms; 5,376 KB
testcase_56	AC	124 ms; 5,376 KB
testcase_57	AC	23 ms; 5,376 KB
testcase_58	AC	23 ms; 5,376 KB
testcase_59	AC	25 ms; 5,376 KB
testcase_60	AC	24 ms; 5,376 KB
testcase_61	AC	25 ms; 5,376 KB
testcase_62	AC	23 ms; 5,376 KB
testcase_63	AC	24 ms; 5,376 KB
testcase_64	AC	24 ms; 5,376 KB
testcase_65	AC	25 ms; 5,376 KB
testcase_66	AC	53 ms; 5,376 KB
testcase_67	AC	25 ms; 5,376 KB
testcase_68	AC	48 ms; 5,376 KB
testcase_69	AC	24 ms; 5,376 KB
testcase_70	AC	24 ms; 5,376 KB
testcase_71	AC	65 ms; 5,376 KB
testcase_72	AC	65 ms; 5,376 KB
testcase_73	AC	24 ms; 5,376 KB
testcase_74	AC	24 ms; 5,376 KB
testcase_75	AC	24 ms; 5,376 KB
testcase_76	AC	25 ms; 5,376 KB
testcase_77	AC	25 ms; 5,376 KB
testcase_78	AC	24 ms; 5,376 KB
testcase_79	AC	23 ms; 5,376 KB
testcase_80	AC	24 ms; 5,376 KB
testcase_81	AC	24 ms; 5,376 KB
testcase_82	AC	24 ms; 5,376 KB
testcase_83	AC	24 ms; 5,376 KB
testcase_84	AC	24 ms; 5,376 KB
testcase_85	AC	24 ms; 5,376 KB
testcase_86	AC	24 ms; 5,376 KB
testcase_87	AC	24 ms; 5,376 KB
testcase_88	AC	24 ms; 5,376 KB
testcase_89	AC	24 ms; 5,376 KB
testcase_90	AC	24 ms; 5,376 KB
testcase_91	AC	24 ms; 5,376 KB
testcase_92	AC	24 ms; 5,376 KB
testcase_93	AC	24 ms; 5,376 KB
testcase_94	AC	23 ms; 5,376 KB
testcase_95	AC	23 ms; 5,376 KB
testcase_96	AC	23 ms; 5,376 KB
testcase_97	AC	24 ms; 5,376 KB
testcase_98	AC	2 ms; 5,376 KB
testcase_99	AC	23 ms; 5,376 KB
testcase_100	AC	23 ms; 5,376 KB
testcase_101	AC	3 ms; 5,376 KB
testcase_102	AC	2 ms; 5,376 KB
testcase_103	AC	23 ms; 5,376 KB
testcase_104	AC	2 ms; 5,376 KB
testcase_105	AC	2 ms; 5,376 KB
testcase_106	AC	2 ms; 5,376 KB
testcase_107	AC	2 ms; 5,376 KB
testcase_108	AC	2 ms; 5,376 KB
testcase_109	AC	2 ms; 5,376 KB

ソースコード

#include <bits/stdc++.h>
// created [2019/12/11] 00:33:01
#pragma GCC diagnostic ignored "-Wsign-compare"
#pragma GCC diagnostic ignored "-Wsign-conversion"

using i32   = int32_t;
using i64   = int64_t;
using u32   = uint32_t;
using u64   = uint64_t;
using uint  = unsigned int;
using usize = std::size_t;
using ll    = long long;
using ull   = unsigned long long;
using ld    = long double;
template<typename T, usize n>
using arr = T (&)[n];
template<typename T, usize n>
using c_arr = const T (&)[n];
template<typename T> constexpr T popcount(const T u) { return u ? static_cast<T>(__builtin_popcountll(static_cast<u64>(u))) : static_cast<T>(0); }
template<typename T> constexpr T log2p1(const T u) { return u ? static_cast<T>(64 - __builtin_clzll(static_cast<u64>(u))) : static_cast<T>(0); }
template<typename T> constexpr T msbp1(const T u) { return log2p1(u); }
template<typename T> constexpr T lsbp1(const T u) { return __builtin_ffsll(u); }
template<typename T> constexpr T clog(const T u) { return u ? log2p1(u - 1) : static_cast<T>(u); }
template<typename T> constexpr bool ispow2(const T u) { return u and (static_cast<u64>(u) & static_cast<u64>(u - 1)) == 0; }
template<typename T> constexpr T ceil2(const T u) { return static_cast<T>(1) << clog(u); }
template<typename T> constexpr T floor2(const T u) { return u == 0 ? static_cast<T>(0) : static_cast<T>(1) << (log2p1(u) - 1); }
template<typename T> constexpr bool btest(const T mask, const usize ind) { return static_cast<bool>((static_cast<u64>(mask) >> ind) & static_cast<u64>(1)); }
template<typename T> void bset(T& mask, const usize ind) { mask |= (static_cast<T>(1) << ind); }
template<typename T> void breset(T& mask, const usize ind) { mask &= ~(static_cast<T>(1) << ind); }
template<typename T> void bflip(T& mask, const usize ind) { mask ^= (static_cast<T>(1) << ind); }
template<typename T> void bset(T& mask, const usize ind, const bool b) { (b ? bset(mask, ind) : breset(mask, ind)); }
template<typename T> constexpr T bcut(const T mask, const usize ind) { return ind == 0 ? static_cast<T>(0) : static_cast<T>((static_cast<u64>(mask) << (64 - ind)) >> (64 - ind)); }
template<typename T> bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template<typename T> bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
constexpr unsigned int mod                  = 1000000007;
template<typename T> constexpr T inf_v      = std::numeric_limits<T>::max() / 4;
template<typename Real> constexpr Real pi_v = Real{3.141592653589793238462643383279502884};

template<typename T>
T in()
{
    T v;
    return std::cin >> v, v;
}
template<typename T, typename Uint, usize n, usize i>
T in_v(typename std::enable_if<(i == n), c_arr<Uint, n>>::type) { return in<T>(); }
template<typename T, typename Uint, usize n, usize i>
auto in_v(typename std::enable_if<(i < n), c_arr<Uint, n>>::type& szs)
{
    const usize s = (usize)szs[i];
    std::vector<decltype(in_v<T, Uint, n, i + 1>(szs))> ans(s);
    for (usize j = 0; j < s; j++) { ans[j] = in_v<T, Uint, n, i + 1>(szs); }
    return ans;
}
template<typename T, typename Uint, usize n>
auto in_v(c_arr<Uint, n> szs) { return in_v<T, Uint, n, 0>(szs); }
template<typename... Types>
auto in_t() { return std::tuple<std::decay_t<Types>...>{in<Types>()...}; }
struct io_init
{
    io_init()
    {
        std::cin.tie(nullptr), std::ios::sync_with_stdio(false);
        std::cout << std::fixed << std::setprecision(20);
    }
} hogechan;
template<typename T>
void out(const T& v) { std::cout << v << '\n'; }  // Reactiveではstd::flushを忘れない
template<typename T, typename... Args>
void out(const T& v, const Args... args) { std::cout << v << ' ', out(args...); }
#    define SHOW(...) static_cast<void>(0)
constexpr ull TEN(const usize n) { return n == 0 ? 1ULL : TEN(n - 1) * 10ULL; }

template<typename T, typename Uint, usize n, usize i>
auto make_v(typename std::enable_if<(i == n), c_arr<Uint, n>>::type, const T& v = T{}) { return v; }
template<typename T, typename Uint, usize n, usize i>
auto make_v(typename std::enable_if<(i < n), c_arr<Uint, n>>::type szs, const T& v = T{})
{
    const usize s = (usize)szs[i];
    return std::vector<decltype(make_v<T, Uint, n, i + 1>(szs, v))>(s, make_v<T, Uint, n, i + 1>(szs, v));
}
template<typename T, typename Uint, usize n>
auto make_v(c_arr<Uint, n> szs, const T& t = T{}) { return make_v<T, Uint, n, 0>(szs, t); }
int main()
{
    const auto [N, X] = in_t<int, int>();
    auto A            = in_v<int>({N});
    std::sort(A.begin(), A.end());
    {
        int Y = X + 1;
        for (const int e : A) { Y /= (e + 1); }
        if (Y == 0) {
            out(std::string(X, '0'));
            return 0;
        }
    }
    if (N == 1) {
        std::string ans(X, '0');
        ans[A[0] - 1] = '1';
        std::cout << ans << std::endl;
        return 0;
    }
    const int g = std::accumulate(A.begin(), A.end(), 0, [](int a, int b) { return std::gcd(a, b); });
    if (A[0] == g) {
        int Y = 1;
        for (const int e : A) { Y *= (e + 1); }
        Y--;
        for (int x = 1; x <= X; x++) { std::cout << (x >= Y and (x - Y) % g == 0); }
        std::cout << std::endl;
        return 0;
    }
    const int M = 1 << N;
    std::vector<int> prod(M, 1);
    for (int m = 0; m < M; m++) {
        for (int i = 0; i < N; i++) {
            if (btest(m, i)) { prod[m] *= (A[i] + 1); }
        }
    }
    std::vector<int> max(M);
    for (int m = 0; m < M; m++) { max[m] = (X + 1) / prod[M - 1 - m] - 1; }
    std::vector<std::vector<bool>> dp(M);
    for (int m = 0; m < M; m++) { dp[m].resize(max[m] + 1); }
    for (int i = 0; i < N; i++) {
        if (A[i] <= max[1 << i]) { dp[1 << i][A[i]] = true; }
    }
    for (int m = 0; m < M; m++) {
        if (popcount(m) <= 1) { continue; }
        std::vector<bool> nxt(dp[m].size(), false);
        for (int i = 0; i < N; i++) {
            if (not btest(m, i)) { continue; }
            const int a  = A[i];
            const int pm = m - (1 << i);
            for (int px = 0; px < dp[pm].size(); px++) {
                if (not dp[pm][px]) { continue; }
                ll nx = (ll)a * (px + 1) + px;
                if (nx >= nxt.size()) { break; }
                nxt[nx] = true;
            }
            for (int x = a; x < nxt.size(); x++) { nxt[x] = nxt[x] | nxt[x - a]; }
            for (int x = 0; x < nxt.size(); x++) { dp[m][x] = dp[m][x] | nxt[x]; }
            std::fill(nxt.begin(), nxt.end(), false);
        }
    }
    for (int x = 1; x <= X; x++) { std::cout << dp[M - 1][x]; }
    std::cout << std::endl;
    return 0;
}