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<div class="title">algorithms Directory Reference</div> </div>
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<tr><td colspan="2"><h2><a name="files"></a>
Files</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>algorithms.doxy</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="bbcharpoly_8h.html">bbcharpoly.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>no doc. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>bbsolve.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="bitonic-sort_8h.html">bitonic-sort.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Implement bitonic sorting network. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="blackbox-block-container-base_8h.html">blackbox-block-container-base.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="blackbox-block-container_8h.html">blackbox-block-container.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>no doc. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>blackbox-container-base.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>blackbox-container-symmetric.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>blackbox-container-symmetrize.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>blackbox-container.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="blas-domain_8h.html">blas-domain.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>blas-domain.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>block-lanczos.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>block-lanczos.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>block-massey-domain.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>block-wiedemann.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>bm-seq.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>charpoly-rational.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>cia.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>classic-rational-reconstruction.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>cra-domain-omp.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-domain-seq_8h.html">cra-domain-seq.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Sequencial version of <a class="el" href="group___c_r_a.html">Chinese Remaindering Algorithm</a>. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-domain_8h.html">cra-domain.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Wrapper around OMP/SEQ version of ChineseRemainder. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-early-multip_8h.html">cra-early-multip.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-early-single_8h.html">cra-early-single.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-full-multip-fixed_8h.html">cra-full-multip-fixed.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>CRA for multi-residues. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-full-multip_8h.html">cra-full-multip.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-givrnsfixed_8h.html">cra-givrnsfixed.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="cra-kaapi_8h.html">cra-kaapi.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>cra-mpi.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>cra.doxy</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="default_8h.html">default.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>define some const </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>dense-container.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>dense-nullspace.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>dense-nullspace.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>det-rational.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>diophantine-solver.C</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>diophantine-solver.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>diophantine-solver.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>diophantine.doxy</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>double-det.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>dyadic-to-rational.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>echelon-form.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>elimination.doxy</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>eliminator.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>eliminator.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>fast-rational-reconstruction.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-det.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-elim-gf2.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-elim.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="gauss-gf2_8h.html">gauss-gf2.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Gauss elimination and applications for sparse matrices on <img class="formulaInl" alt="$F_2$" src="form_11.png"/>. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-gf2.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-nullspace.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-pivot-gf2.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-pivot.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-rank-gf2.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-rank.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-solve-gf2.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss-solve.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="gauss_8h.html">gauss.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Gauss elimination and applications for sparse matrices. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>gauss.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>hybrid-det.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>la-block-lanczos.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>la-block-lanczos.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>lanczos.doxy</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>lanczos.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>lanczos.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>last-invariant-factor.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>lazy-product.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="lifting-container_8h.html">lifting-container.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Lifting from <code>mod p^n</code> to rationals NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>linbox-tags.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>massey-domain.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>matpoly-mult.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="matrix-hom_8h.html">matrix-hom.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Matrix Homomorphism A map function converts a matrix on a field/ring to its natural image in another field/ring. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>matrix-inverse.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>matrix-rank.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>mg-block-lanczos.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>mg-block-lanczos.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="minpoly-integer_8h.html">minpoly-integer.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Compute the minpoly of a matrix over an integer ring using modular arithmetic. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>minpoly-rational.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>numeric-solver-lapack.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>one-invariant-factor.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-cra-early-multip.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-cra-early-single.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-cra-full-multip.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-cra.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-cra2.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-reconstruction-base.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="rational-reconstruction_8h.html">rational-reconstruction.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-reconstruction2.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-solver-adaptive.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-solver-sn.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-solver-sn.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="rational-solver_8h.html">rational-solver.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Rational solving (Dixon, Wiedemann,...) </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>rational-solver.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="rational-solver2_8h.html">rational-solver2.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>NO DOC. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="rns_8h.html">rns.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p><b>R</b>esidue <b>N</b>umber <b>S</b>ystem tools. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="rns_8inl.html">rns.inl</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p><b>R</b>esidue <b>N</b>umber <b>S</b>ystem implementation. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="sigma-basis_8h.html">sigma-basis.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p><img class="formulaInl" alt="$\sigma$" src="form_19.png"/>-basis (minimal basis). </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>sigmabasis.doxy</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>signature.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="smith-form-adaptive_8h.html">smith-form-adaptive.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Implement the adaptive algorithm for Smith form computation. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>smith-form-adaptive.inl</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="smith-form-binary_8h.html">smith-form-binary.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Implementation of EGV and EGV+ algorithm. </p>
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</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>smith-form-iliopoulos.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>smith-form-local.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>smith-form-local2.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>smith-form-sparseelim-local.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>toeplitz-det.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>triangular-solve-gf2.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>triangular-solve.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>varprec-cra-early-multip.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>varprec-cra-early-single.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>vector-fraction.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>whisart_trace.h</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>wiedemann.doxy</b></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><a class="el" href="wiedemann_8h.html">wiedemann.h</a></td></tr>
<p><tr><td class="mdescLeft"> </td><td class="mdescRight"><p>minpoly computation and Wiedeman solvers. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">file  </td><td class="memItemRight" valign="bottom"><b>wiedemann.inl</b></td></tr>
</table>
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