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:’øƒÄ[^]ƍ“"‹ƒz,ĒD$ü‰T$‰$č/&‹ƒ®*ƒĄX‰$č&1Ąėċ“Ŗ*믐U‰åƒģ8‰]ō‰uų‰}ü‹učya’’‹}‹†p…Ąt‹†¤…Ą…•‹†¬…Ąu1Ą‹]ō‹uų‹}ü‰ģ]ƍN8W0ƒĒ<‰L$N,‰U܉T$‰|$‰$čaƒų’uɋ†Ģ…Ąuøėŗ‰|$‹E܍»µ‰D$³Ć‰<$čļ$‹ƒŃ+‰D$ĒD$	ĒD$‰4$č%ė¶V8O0‰T$W<‰Mä‰Uą‰T$V,‰L$‰$čāƒų…<’’’‹†Ģ…Ą„y’’’‹Eą‰D$‹Eäéx’’’
*lrs:
*Copyright (C) 1995,2006, David Avis   avis@cs.mcgill.ca LRS globalslrs:
*redund:*
H-representation
linearity %ld %ld
begin
%ld %ld rational
end
*Input had %ld rows and %ld columns: %ld row(s) redundantredund:
V-representation
*redineq:
*row %ld was redundant and removed
check index=%ld, inequality=%ld, redineq=%ld 1 
%s%slrslib v.4.2b, 2006.3.3132bitlrsgmp.h
*%s../../../external/lrs/lrslib.cFatal: Attempt to allocate more than %ld global data blocks
rw
Bad output file name
*Output sent to file %s
begin%ld %ld %sintegerrational
No input given
Data type must be integer of rational
No data in file
No begin lineH-representationhullV-representationdigitslinearitynonnegative
Nash incompatibile with nonnegative option - skipped%ld
*Input taken from file %s
Bad input file namemaximizecheckpointdebugstartingcobasis
*startingcobasis incompatible with nonnegative option:skippedrestart%ld %ld %ld
*%s F#%ld B#%ld h=%ld vertices/rayslponlyminimize:  volumegeometricallbasesdualperturbincidence#incidenceprintcobasisprintslackcachemaxdepthmaxoutputmindepthtruncateverboseboundseedestimatesvoronoiVoronoi
*voronoi requires V-representation - option skipped
*%ld %s
*seed= %ld  - option must come before begin line - skipped - option for H-representation only, skipped
*%s  %ld
*cache %ld - option for H-representation or voronoi only, skipped - Objective function perturbed
*%s option not valid for V-representation-skipped
*lponly  option not valid for V-representation-skipped%ld %ld %ld %ld
*%s V#%ld R#%ld B#%ld h=%ld facets
*%s V#%ld R#%ld B#%ld h=%ld data points
*startingcobasis%ld %ld
*%s from B#%ld to B#%ld
exiting lrs_read_dic
*Upper bound on objective function:
*Lower bound on objective function:
*Input is homogeneous, column 1 not treated as redundant
***** %ld rational
Number of pivots for feasible solution: %ld - No feasible solution
Number of pivots for optimum solution: %ld
Pivoting to restart co-basis
*Inequality numbers for indices %ld .. %ld :  %ld 
Number of pivots for starting dictionary: %ld
inequality array initialization:
linearity %ld 
*Voronoi Diagram: Voronoi vertices and rays are output
after getabasis
With voronoi option column one must be all one
*Starting cobasis uses input row order
*LP has no objective function given - assuming all zero
*linearity and Voronoi options set - results unpredictable
*linearity and nonnegative options incompatible - all linearities are skipped
*add nonnegative constraints explicitly and  remove nonnegative option
 Cached Dict. restored to depth %ld

 Backtrack Pivot: indices i=%ld j=%ld depth=%ld
slack ineq:
V#%ld R#%ld B#%ld h=%ld data points  I#%ld det= :
V#%ld R#%ld B#%ld h=%ld facets 
F#%ld B#%ld h=%ld vertices/rays 
*Tree truncated at depth %ld
*Maximum number of output lines = %ld
*Totals: facets=%ld bases=%ld
*Estimates: facets=%g bases=%g
*Total number of tree nodes evaluated: %ld
*Note! Duplicate facets may be present
*Input size m=%ld rows n=%ld columns working dimension=%ld
*Starting cobasis defined by input rows
*Dictionary Cache: max size= %ld misses= %ld/%ld   Tree Depth= %ld volume=%g linearities=%ld facets+linearities=%ld
*Totals: vertices=%ld rays=%ld bases=%ld integer vertices=%ld  vertices+rays+linearities=%ld
*Estimates: vertices=%g rays=%g bases=%g integer vertices=%g 
*Note! Duplicate vertices/rays may be present
*Note! Duplicate rays may be present pseudovolume=%g
*Volume=
*Pseudovolume=
*Sum of det(B)=
*Tree truncated at each new vertex
*Warning: Starting dictionary contains rays
*Complete enumeration may not have been produced
*Recommendation: Change or remove maximize option or add bounds

*Recommendation: Change or remove minimize option or add bounds

*Warning: Starting dictionary is dual degenerate
*Recommendation: Add dualperturb option before maximize in input file

*Recommendation: Add dualperturb option before minimize in input file
%ld,%ld 
 Backtrack Pivot: indices i,j %ld %ld   selected pivot k=%ld seed=%ld    degree= %ld 
Possible reverse pivots: i,j= Pos/Zero Cost Coeff Pivot col non-negative:  ray found
+end of reverse : indices r %ld s %ld 

Positive cost found: index %ld C %ld Col %ld
+reverse: col index %ld C %ld Col %ld  depth=%ld det=
 pivot  B[%ld]=%ld  C[%ld]=%ld 
*Infeasible startingcobasis - will be modified
Error removing linearity
end of first phase of getabasis: lastdv=%ld nredundcol=%ld
redundant cobases:
getabasis from inequalities given in order
removing cobasic index k=%ld C[k]=%ld
Dictionary resized from d=%ld to d=%ld
Trying to restart from infeasible dictionary
Invalid Co-basis - does not have correct rank %ld %ld;
Cobasic flags in restartpivots ratiocol=%ld degencount=%ld   Min ratios: 
 lexmin ray in col=%ld  Vnum= Vden= is non-redundant is degenerate B[i]=%ld
index=%ld cobasic%s%ld/%ld
Enter each row: b_i  a_ij j=1..%ld
Enter row %ld:  
Enter objective row c_j j=1..%ld: 
Linearity option invalid, indices must be positive
 Start/Restart cobasic indices should not include linearities
  Start/Restart cobasic indices must be distinct
 Start/Restart cobasic indices must be in range 1 .. %ld 
 Basis    %ld  Row 
 Co-Basis  Column A%s[%ld][%ld]=[%ld]=
Saving dict at depth %ld

Overflow at digits=%ld
Rerun with option: digits n, where n > %ld


lrs_lib: checkpointing:
lrs_lib: Current digits at %ld out of %ld
lrs_lib: checkpoint finished
lrs_lib: State #%ld: (%s)	V#%ld R#%ld B#%ld h=%ld facets lrs_lib: Computing initial basis

LP: Phase One: Dual pivot on artificial variable
*digits %ld
Digits must be at most %ld
Change MAX_DIGITS and recompile 
Obj value:  Pruning €?č—C’’‹n
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