src/comb/seq/stirling1_row/lib.hpp - GCC Code Coverage Report

Directory:	./
Coverage:	low: ≥ 0% medium: ≥ 75.0% high: ≥ 90.0%
	Coverage	Exec / Excl / Total
Lines:	100.0%	378 / 0 / 378
Functions:	100.0%	54 / 0 / 54
Branches:	100.0%	270 / 0 / 270
    src/comb/seq/stirling1_row/lib.hpp
    
      
      
      
      
    

      
      
      
    

    
      
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        #pragma once
      

        
        
        
        
        
      

        
        
        
        
        #include "../../../fps/shl/lib.hpp"
      

        
        
        
        
        #include "../../../fps/tsh/lib.hpp"
      

        
        
        
        
        #include "../fact/lib.hpp"
      

        
        
        
        
        #include "../ifact/lib.hpp"
      

        
        
        
        
        
      

        
        
        
        
        namespace tifa_libs {
      

        
        
        
        
        
      

        
        
        
        
        // stirling1[i] = {n \\brace i}, i=0,1,...,n
      

        
        
        
        
        template <class poly, class T, bool with_sgn = true>
      

        
        
        
        270
        CEXP poly gen_stirling1_row(u32 n, vec<T> CR fact, vec<T> CR ifact) NE {
      

        
        
        
        
          using mint = TPN poly::val_t;
      

        
        
          54/54tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 1 time.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 1 time.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 1 time.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 1 time.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 1 time.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 1 time.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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        270
          retif_((!n) [[unlikely]], poly{1});
      

        
        
        
        243
          poly f{0, 1};
      

        
        
          54/54tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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          retif_((n == 1) [[unlikely]], f);
      

        
        
          54/54tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
✓ Branch 2 taken 8 times.
tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
✓ Branch 2 taken 8 times.
tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
✓ Branch 2 taken 8 times.
tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 1 taken 104 times.
✓ Branch 2 taken 8 times.

        
        3024
          for (int i = 30 - std::countl_zero(n); ~i; --i) {
      

        
        
        
        2808
            cu32 _ = n >> i;
      

        
        
        
        2808
            (f *= tsh_fps(f, mint(_ / 2), fact, ifact)).resize(f.size() + 1);
      

        
        
          54/54tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 55 times.
✓ Branch 1 taken 49 times.
tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 55 times.
✓ Branch 1 taken 49 times.
tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 55 times.
✓ Branch 1 taken 49 times.
tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 55 times.
✓ Branch 1 taken 49 times.
tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 55 times.
✓ Branch 1 taken 49 times.
tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
✓ Branch 0 taken 55 times.
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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        2808
            if (_ & 1) f = shl_fps(f, 1) + f * (_ - 1);
      

        
        
        
        
          }
      

        
        
        
        216
          if CEXP (f.resize(n + 1); with_sgn)
      

        
        
          54/54tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<167772161ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<469762049ul> >, tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<754974721ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > tifa_libs::gen_stirling1_row<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > >, unsigned long, true>(unsigned int, std::vector<unsigned long, std::allocator<unsigned long> > const&, std::vector<unsigned long, std::allocator<unsigned long> > const&):
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            for (u32 i = 1 + (n & 1); i <= n; i += 2) f[i] = -f[i];
      

        
        
        
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          return f;
      

        
        
        
        243
        }
      

        
        
        
        
        // stirling1[i] = {n \\brace i}, i=0,1,...,n
      

        
        
        
        
        template <class poly, bool with_sgn = true>
      

        
        
        
        270
        CEXP poly gen_stirling1_row(u32 n) NE {
      

        
        
        
        
          using mint = TPN poly::val_t;
      

        
        
        
        270
          return gen_stirling1_row<poly, u64, with_sgn>(n, gen_fact(n + 1, mint::mod()), gen_ifact(n + 1, mint::mod()));
      

        
        
        
        
        }
      

        
        
        
        
        
      

        
        
        
        
        }  // namespace tifa_libs
      

        
        
        
        
        
      

  