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version 1.3, 2011/07/22 07:38:20
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version 1.4, 2011/11/21 20:43:21
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*> \brief \b ZSYTRI2X |
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* |
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* =========== DOCUMENTATION =========== |
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* |
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* Online html documentation available at |
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* http://www.netlib.org/lapack/explore-html/ |
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* |
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*> \htmlonly |
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*> Download ZSYTRI2X + dependencies |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zsytri2x.f"> |
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*> [TGZ]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zsytri2x.f"> |
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*> [ZIP]</a> |
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zsytri2x.f"> |
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*> [TXT]</a> |
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*> \endhtmlonly |
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* |
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* Definition: |
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* =========== |
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* |
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* SUBROUTINE ZSYTRI2X( UPLO, N, A, LDA, IPIV, WORK, NB, INFO ) |
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* |
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* .. Scalar Arguments .. |
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* CHARACTER UPLO |
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* INTEGER INFO, LDA, N, NB |
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* .. |
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* .. Array Arguments .. |
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* INTEGER IPIV( * ) |
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* COMPLEX*16 A( LDA, * ), WORK( N+NB+1,* ) |
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* .. |
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* |
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* |
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*> \par Purpose: |
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* ============= |
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*> |
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*> \verbatim |
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*> |
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*> ZSYTRI2X computes the inverse of a complex symmetric indefinite matrix |
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*> A using the factorization A = U*D*U**T or A = L*D*L**T computed by |
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*> ZSYTRF. |
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*> \endverbatim |
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* |
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* Arguments: |
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* ========== |
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* |
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*> \param[in] UPLO |
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*> \verbatim |
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*> UPLO is CHARACTER*1 |
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*> Specifies whether the details of the factorization are stored |
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*> as an upper or lower triangular matrix. |
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*> = 'U': Upper triangular, form is A = U*D*U**T; |
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*> = 'L': Lower triangular, form is A = L*D*L**T. |
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*> \endverbatim |
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*> |
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*> \param[in] N |
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*> \verbatim |
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*> N is INTEGER |
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*> The order of the matrix A. N >= 0. |
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*> \endverbatim |
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*> |
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*> \param[in,out] A |
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*> \verbatim |
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*> A is COMPLEX*16 array, dimension (LDA,N) |
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*> On entry, the NNB diagonal matrix D and the multipliers |
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*> used to obtain the factor U or L as computed by ZSYTRF. |
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*> |
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*> On exit, if INFO = 0, the (symmetric) inverse of the original |
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*> matrix. If UPLO = 'U', the upper triangular part of the |
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*> inverse is formed and the part of A below the diagonal is not |
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*> referenced; if UPLO = 'L' the lower triangular part of the |
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*> inverse is formed and the part of A above the diagonal is |
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*> not referenced. |
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*> \endverbatim |
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*> |
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*> \param[in] LDA |
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*> \verbatim |
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*> LDA is INTEGER |
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*> The leading dimension of the array A. LDA >= max(1,N). |
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*> \endverbatim |
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*> |
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*> \param[in] IPIV |
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*> \verbatim |
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*> IPIV is INTEGER array, dimension (N) |
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*> Details of the interchanges and the NNB structure of D |
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*> as determined by ZSYTRF. |
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*> \endverbatim |
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*> |
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*> \param[out] WORK |
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*> \verbatim |
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*> WORK is COMPLEX*16 array, dimension (N+NNB+1,NNB+3) |
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*> \endverbatim |
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*> |
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*> \param[in] NB |
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*> \verbatim |
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*> NB is INTEGER |
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*> Block size |
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*> \endverbatim |
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*> |
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*> \param[out] INFO |
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*> \verbatim |
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*> INFO is INTEGER |
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*> = 0: successful exit |
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*> < 0: if INFO = -i, the i-th argument had an illegal value |
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*> > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its |
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*> inverse could not be computed. |
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*> \endverbatim |
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* |
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* Authors: |
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* ======== |
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* |
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*> \author Univ. of Tennessee |
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*> \author Univ. of California Berkeley |
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*> \author Univ. of Colorado Denver |
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*> \author NAG Ltd. |
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* |
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*> \date November 2011 |
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* |
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*> \ingroup complex16SYcomputational |
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* |
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* ===================================================================== |
| SUBROUTINE ZSYTRI2X( UPLO, N, A, LDA, IPIV, WORK, NB, INFO ) |
SUBROUTINE ZSYTRI2X( UPLO, N, A, LDA, IPIV, WORK, NB, INFO ) |
| * |
* |
| * -- LAPACK routine (version 3.3.1) -- |
* -- LAPACK computational routine (version 3.4.0) -- |
| * -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
| * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
| * -- April 2011 -- |
* November 2011 |
| * |
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| * -- Written by Julie Langou of the Univ. of TN -- |
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| * |
* |
| * .. Scalar Arguments .. |
* .. Scalar Arguments .. |
| CHARACTER UPLO |
CHARACTER UPLO |
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| * .. |
* .. |
| * .. Array Arguments .. |
* .. Array Arguments .. |
| INTEGER IPIV( * ) |
INTEGER IPIV( * ) |
| DOUBLE COMPLEX A( LDA, * ), WORK( N+NB+1,* ) |
COMPLEX*16 A( LDA, * ), WORK( N+NB+1,* ) |
| * .. |
* .. |
| * |
* |
| * Purpose |
|
| * ======= |
|
| * |
|
| * ZSYTRI2X computes the inverse of a complex symmetric indefinite matrix |
|
| * A using the factorization A = U*D*U**T or A = L*D*L**T computed by |
|
| * ZSYTRF. |
|
| * |
|
| * Arguments |
|
| * ========= |
|
| * |
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| * UPLO (input) CHARACTER*1 |
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| * Specifies whether the details of the factorization are stored |
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| * as an upper or lower triangular matrix. |
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| * = 'U': Upper triangular, form is A = U*D*U**T; |
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| * = 'L': Lower triangular, form is A = L*D*L**T. |
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| * |
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| * N (input) INTEGER |
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| * The order of the matrix A. N >= 0. |
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| * |
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| * A (input/output) DOUBLE COMPLEX array, dimension (LDA,N) |
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| * On entry, the NNB diagonal matrix D and the multipliers |
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| * used to obtain the factor U or L as computed by ZSYTRF. |
|
| * |
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| * On exit, if INFO = 0, the (symmetric) inverse of the original |
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| * matrix. If UPLO = 'U', the upper triangular part of the |
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| * inverse is formed and the part of A below the diagonal is not |
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| * referenced; if UPLO = 'L' the lower triangular part of the |
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| * inverse is formed and the part of A above the diagonal is |
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| * not referenced. |
|
| * |
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| * LDA (input) INTEGER |
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| * The leading dimension of the array A. LDA >= max(1,N). |
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| * |
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| * IPIV (input) INTEGER array, dimension (N) |
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| * Details of the interchanges and the NNB structure of D |
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| * as determined by ZSYTRF. |
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| * |
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| * WORK (workspace) DOUBLE COMPLEX array, dimension (N+NNB+1,NNB+3) |
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| * |
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| * NB (input) INTEGER |
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| * Block size |
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| * |
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| * INFO (output) INTEGER |
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| * = 0: successful exit |
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| * < 0: if INFO = -i, the i-th argument had an illegal value |
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| * > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its |
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| * inverse could not be computed. |
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| * |
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| * ===================================================================== |
* ===================================================================== |
| * |
* |
| * .. Parameters .. |
* .. Parameters .. |
| DOUBLE COMPLEX ONE, ZERO |
COMPLEX*16 ONE, ZERO |
| PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ), |
PARAMETER ( ONE = ( 1.0D+0, 0.0D+0 ), |
| $ ZERO = ( 0.0D+0, 0.0D+0 ) ) |
$ ZERO = ( 0.0D+0, 0.0D+0 ) ) |
| * .. |
* .. |
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| INTEGER COUNT |
INTEGER COUNT |
| INTEGER J, U11, INVD |
INTEGER J, U11, INVD |
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| DOUBLE COMPLEX AK, AKKP1, AKP1, D, T |
COMPLEX*16 AK, AKKP1, AKP1, D, T |
| DOUBLE COMPLEX U01_I_J, U01_IP1_J |
COMPLEX*16 U01_I_J, U01_IP1_J |
| DOUBLE COMPLEX U11_I_J, U11_IP1_J |
COMPLEX*16 U11_I_J, U11_IP1_J |
| * .. |
* .. |
| * .. External Functions .. |
* .. External Functions .. |
| LOGICAL LSAME |
LOGICAL LSAME |
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