src/nt/lsieve/impl2/lib.hpp
| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | #pragma once | ||
| 2 | |||
| 3 | #include "../../../util/alias/others/lib.hpp" | ||
| 4 | |||
| 5 | namespace tifa_libs { | ||
| 6 | |||
| 7 | class lsieve2 { | ||
| 8 | vecptu pr; | ||
| 9 | vecu fr; | ||
| 10 | |||
| 11 | public: | ||
| 12 | 718 | CEXPE lsieve2(u32 n) NE : fr(n + 1) { | |
| 13 |
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326525206 | for (u32 i = 2, x = n / 2, p1, p2, e; i <= n; x = n / (++i)) { |
| 14 |
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326524847 | if (!fr[i]) { |
| 15 |
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45654977 | for (p1 = 1, p2 = i, e = 0; p1 <= x; p1 = p2, p2 *= i, ++e) fr[p2] = 1; |
| 16 | 22804063 | pr.emplace_back(i, e); | |
| 17 | } | ||
| 18 |
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522463125 | for (auto [p, _] : pr) |
| 19 |
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522463125 | if (p > x) break; |
| 20 | // p <= x == n/i ==> p*i <= n | ||
| 21 |
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303720784 | else if (i % p) fr[p * i] = i; // NOLINT(clang-analyzer-core.DivideZero) |
| 22 | else { | ||
| 23 | 107782506 | fr[p * i] = fr[i]; | |
| 24 | 107782506 | break; | |
| 25 | } | ||
| 26 | } | ||
| 27 | 359 | } | |
| 28 | |||
| 29 | // @param F: T(u32, u32) | ||
| 30 | // @param %fpi(p, i) = $f(p^i)$ | ||
| 31 | // @return v[i] = f(i), for i in [0, n] | ||
| 32 | template <class T, class F> | ||
| 33 | requires requires(F f, u32 p, u32 i) { | ||
| 34 | { f(p, i) } -> std::same_as<T>; | ||
| 35 | } | ||
| 36 | 392 | CEXP vec<T> run(F fpi, T init = T{1}) CNE { | |
| 37 | 392 | vec<T> v(fr.size()); | |
| 38 |
9/18std::vector<std::pair<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >, std::allocator<std::pair<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > > tifa_libs::lsieve2::run<std::pair<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, std::pair<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >) const:
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std::vector<unsigned long, std::allocator<unsigned long> > tifa_libs::lsieve2::run<unsigned long, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, unsigned long) const:
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392 | if (fr.size() < 2) return v; |
| 39 | 388 | v[1] = init; | |
| 40 |
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >) const:
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std::vector<unsigned long, std::allocator<unsigned long> > tifa_libs::lsieve2::run<unsigned long, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, unsigned long) const:
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22815947 | flt_ (u32, i, 0, (u32)pr.size()) |
| 41 |
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >) const:
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std::vector<unsigned long, std::allocator<unsigned long> > tifa_libs::lsieve2::run<unsigned long, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, unsigned long) const:
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45678800 | for (u32 p = pr[i].first, e = pr[i].second, pe = p, ex = 1; ex <= e; ++ex, pe *= p) v[pe] = fpi(p, ex); |
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >) const:
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std::vector<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, std::allocator<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::lsieve2::run<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >) const:
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std::vector<unsigned long, std::allocator<unsigned long> > tifa_libs::lsieve2::run<unsigned long, main::{lambda(unsigned int, unsigned int)#1}>(main::{lambda(unsigned int, unsigned int)#1}, unsigned long) const:
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326609538 | flt_ (u32, i, 2, (u32)fr.size()) v[i] = v[i / fr[i]] * v[fr[i]]; |
| 43 | 388 | return v; | |
| 44 | } | ||
| 45 | }; | ||
| 46 | |||
| 47 | } // namespace tifa_libs | ||
| 48 |