src/comb/binom/lib.hpp - GCC Code Coverage Report

Directory:	./
Coverage:	low: ≥ 0% medium: ≥ 75.0% high: ≥ 90.0%
Directory:
Coverage:
low: ≥ 0% medium: ≥ 75.0% high: ≥ 90.0%
	Coverage	Exec / Excl / Total
Lines:	100.0%	240 / 0 / 240
Functions:	100.0%	218 / 0 / 218
Branches:	78.0%	259 / 0 / 332
Coverage
Exec / Excl / Total
Lines:
100.0%
240 / 0 / 240
Functions:
100.0%
218 / 0 / 218
Branches:
78.0%
259 / 0 / 332
    src/comb/binom/lib.hpp
    
      
      
      
      
    

      
      
      
    

    
      
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        #pragma once
      

        
        
        
        
        
      

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

        
        
        
        
        
      

        
        
        
        
        namespace tifa_libs {
      

        
        
        
        
        
      

        
        
        
        
        template <class mint, class fact = fact_helper<mint>>
      

        
        
        
        
        requires std::same_as<mint, TPN fact::val_t>
      

        
        
        
        
        struct binom {
      

        
        
        
        
          using fact_t = fact;
      

        
        
        
        
        
      

        
        
        
        5592
          CEXPE binom(u32 max_m = fact::DEFAULT_MAX) NE { fact::ensure(max_m + 1); }
      

        
        
        
        
        
      

        
        
        
        
          // $\binom{m}{n}$
      

        
        
          105/130tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
✓ Branch 1 taken 62377692 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 50532548 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, double> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
✓ Branch 1 taken 62377692 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✗ Branch 0 not taken.
✓ Branch 1 taken 6333297 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
✓ Branch 1 taken 62377692 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
✓ Branch 1 taken 62377692 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
✓ Branch 1 taken 62377692 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 50532548 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 50532548 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 50532548 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 50532548 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, double> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✗ Branch 0 not taken.
✓ Branch 1 taken 6333297 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✗ Branch 0 not taken.
✓ Branch 1 taken 6333297 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✗ Branch 0 not taken.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✗ Branch 0 not taken.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 12525 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 12525 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
✓ Branch 1 taken 12525 times.
tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, double> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✗ Branch 0 not taken.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
✓ Branch 0 taken 5184217 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
✓ Branch 0 taken 26 times.
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, double> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, 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> > > > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > > >::mCn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, 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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > > > >::mCn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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        1909938598
          CEXP mint mCn(uint_c auto m, uint_c auto n) CNE { retif_((m < n) [[unlikely]], 0, mPn(m, n) * fact::get_ifact(n)); }
      

        
        
        
        
          // $\binom{m}{n}$
      

        
        
        
        
          template <sint_c T>
      

        
        
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        8000000
          CEXP mint mCn(T m, T n) CNE { retif_((m < n || n < 0) [[unlikely]], 0, mCn(to_uint_t<T>(m), to_uint_t<T>(n))); }
      

        
        
        
        
          //! mint::mod() must be prime
      

        
        
        
        
          template <int_c T>
      

        
        
        
        56732407
          CEXP mint lucas(T m, T n) CNE {
      

        
        
          11/22tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, double> > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, double> > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > > >::lucas<long>(long, long) const:
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        56732407
            assert(mint::mod() > 1);
      

        
        
          22/22tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, double> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, double> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > > >::lucas<long>(long, long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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        732346714
            auto f = [this](auto&& f, auto m, auto n) NE -> mint { retif_((n == 0), 1, this->mCn(m % fact::mod(), n % fact::mod()) * f(f, m / fact::mod(), n / fact::mod())); };
      

        
        
          23/24tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, double> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, double> > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::lucas<unsigned long>(unsigned long, unsigned long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > > >::lucas<long>(long, long) const::{lambda(auto:1&&, auto:2, auto:3)#1}::operator()<{lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long>({lambda(auto:1&&, auto:2, auto:3)#1}&, unsigned long, unsigned long) const:
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        56732407
            retif_((m < n || n < 0) [[unlikely]], 0, f(f, to_uint_t<T>(m), to_uint_t<T>(n)));
      

        
        
        
        
          }
      

        
        
        
        
          // $\binom{m}{n} \cdot n!$
      

        
        
          95/130tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<12l> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<13l> >, double> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<14l> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<15l> >, double> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bd_tag<16l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<1000000007ul> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polyntt_impl_::cconv_ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_bs_tag<998244353ul> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<13l> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<14l> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md64_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<12l> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<13l> >, double> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<14l> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<15l> >, double> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<16l> >, 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> > > > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_md_tag<8l> > > >::mPn<unsigned long, unsigned long>(unsigned long, unsigned long) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<1000000007ul> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms64_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::poly3ntt_impl_::cconv_3ntt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, 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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<1000000007ul> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::fact_helper<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<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> > > > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> > tifa_libs::binom<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, tifa_libs::factl_helper<tifa_libs::poly_impl_::poly<tifa_libs::polymtt_impl_::cconv_mtt<tifa_libs::mint_impl_::mint<tifa_libs::mint_ms_tag<998244353ul> >, double> > > >::mPn<unsigned int, unsigned int>(unsigned int, unsigned int) const:
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        1858096548
          CEXP mint mPn(uint_c auto m, uint_c auto n) CNE { retif_((m < n) [[unlikely]], 0, fact::get_fact(m) * fact::get_ifact(m - n)); }
      

        
        
        
        
          // $\binom{m}{n} \cdot n!$
      

        
        
        
        
          template <sint_c T>
      

        
        
        
        
          CEXP mint mPn(T m, T n) CNE { retif_((m < n || n < 0) [[unlikely]], 0, mPn(to_uint_t<T>(m), to_uint_t<T>(n))); }
      

        
        
        
        
          // $[x^n] \frac{1}{(1-x)^m}$
      

        
        
        
        
          CEXP mint mHn(uint_c auto m, uint_c auto n) CNE { retif_((n <= 0), n == 0, mCn(m + n - 1, n)); }
      

        
        
        
        
          // $[x^n] \frac{1}{(1-x)^m}$
      

        
        
        
        
          template <sint_c T>
      

        
        
        
        
          CEXP mint mHn(T m, T n) CNE { retif_((m < 0 || n <= 0), n == 0, mHn(to_uint_t<T>(m), to_uint_t<T>(n))); }
      

        
        
        
        
        };
      

        
        
        
        
        
      

        
        
        
        
        }  // namespace tifa_libs
      

        
        
        
        
        
      

  