1
 
 SNMEMA EXIT 100 -- finished successfully
 SNMEMA INFO 104 -- memory requirements estimated

         ==============================
         S N O P T  7.2-11   (Jan 2011)
         ==============================

 Nonzero derivs  Jij        18
 Non-constant    Jij's      18     Constant Jij's           0
1
 
 SNJAC  EXIT 100 -- finished successfully
 SNJAC  INFO 102 -- Jacobian structure estimated
1
 
 Parameters
 ==========

 Files
 -----
 Solution file..........         0       Old basis file ........         0       Standard input.........         5
 Insert file............         0       New basis file ........         0       (Printer)..............         9
 Punch file.............         0       Backup basis file......         0       (Specs file)...........         0
 Load file..............         0       Dump file..............         0       Standard output........         6

 Frequencies
 -----------
 Print frequency........       100       Check frequency........        60       Save new basis map.....       100
 Summary frequency......       100       Factorization frequency        50       Expand frequency.......     10000

 QP subproblems
 --------------
 QPsolver Cholesky......
 Scale tolerance........      .900       Minor feasibility tol..  1.00E-06       Iteration limit........       200
 Scale option...........         0       Minor optimality  tol..  1.00E-06       Minor print level......         1
 Crash tolerance........      .100       Pivot tolerance........  3.25E-11       Partial price..........         1
 Crash option...........         3       Elastic weight.........  1.00E+04       Prtl price section ( A)         4
                                         New superbasics........        99       Prtl price section (-I)         5

 The SQP Method
 --------------
 Minimize...............                 Cold start.............                 Proximal Point method..         1
 Nonlinear objectiv vars         4       Objective Row..........         1       Function precision.....  1.00E-06
 Unbounded step size....  1.00E+20       Superbasics limit......         4       Difference interval....  1.00E-03
 Unbounded objective....  1.00E+15       Reduced Hessian dim....         4       Central difference int.  1.00E-02
 Major step limit.......  2.00E+00       Nonderiv.  linesearch..                 Derivative option......         0
 Major iterations limit.      1000       Linesearch tolerance...    .90000       Verify level...........         0
 Minor iterations limit.       500       Penalty parameter......  0.00E+00       Major Print Level......         1
                                         Major optimality tol...  3.16E-03

 Hessian Approximation
 ---------------------
 Full-Memory Hessian....                 Hessian updates........  99999999       Hessian frequency......  99999999
                                                                                 Hessian flush..........  99999999

 Nonlinear constraints
 ---------------------
 Nonlinear constraints..         4       Major feasibility tol..  1.00E-06       Violation limit........  1.00E+06
 Nonlinear Jacobian vars         4

 Miscellaneous
 -------------
 LU factor tolerance....      3.99       LU singularity tol.....  3.25E-11       Timing level...........         0
 LU update tolerance....      3.99       LU swap tolerance......  1.22E-04       Debug level............         0
 LU partial  pivoting...                 eps (machine precision)  2.22E-16       System information.....        No
                                                                                 Sticky parameters......        No
1
 

 

 Matrix statistics
 -----------------
               Total      Normal        Free       Fixed     Bounded
 Rows              5           0           1           0           4
 Columns           4           0           0           0           4

 No. of matrix elements                   14     Density      70.000
 Biggest  constant element        0.0000E+00  (excluding fixed columns,
 Smallest constant element        0.0000E+00   free rows, and RHS)

 No. of objective coefficients             0

 Nonlinear constraints       4     Linear constraints       1
 Nonlinear variables         4     Linear variables         0
 Jacobian  variables         4     Objective variables      4
 Total constraints           5     Total variables          4
1
 

 
 The user has defined       0   out of      18   first  derivatives
1
 
 

   Itns Major Minors    Step   nCon Feasible  Optimal  MeritFunction     L+U BSwap     nS  condHz Penalty
      4     0      4              1 (0.0E+00) 4.8E-01  1.1576012E+02       8            2 1.0E+00         _  r
      6     1      2 8.8E-02      2 (0.0E+00) 4.3E-01  1.0158374E+02       8            3 1.0E+00         _n r
      8     2      2 7.5E-02      3 (0.0E+00) 6.2E+01  9.3829716E+01       8            4 3.3E+00         _s
      9     3      1 1.0E+00      4 (0.0E+00) 5.8E+01  8.9135716E+01       8            4 3.5E+00         _
     10     3      2 1.0E+00      4 (0.0E+00) 4.8E+01  8.9135716E+01       8            4 3.4E+00         _      c
     11     4      1 1.0E+00      5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _
     12     4      2              5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _      c
     13     5      1 4.5E-01      6 (0.0E+00) 6.9E+00  8.4334194E+01       8            4 2.9E+00         _
     14     5      2              6 (0.0E+00) 6.9E+00  8.4334194E+01       5     1      4 1.3E+02         _      c
     15     6      1 4.1E-01      7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _
     16     6      2              7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _      c
     17     7      1 4.5E-01      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _
     18     7      2 1.0E+00      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _      c
     19     8      1 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _
     20     8      2 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _      c
     21     9      1 1.0E+00     10 (0.0E+00) 1.9E+01  8.3998257E+01       5            4 1.6E+03         _
     22    10      1 1.0E+00     11 (0.0E+00) 4.4E+01  8.2524737E+01       5            4 2.9E+03         _
     24    11      2 1.0E+00     12 (0.0E+00) 5.1E+01  7.8634091E+01       5            3 3.2E+03         _
     26    12      2 1.0E+00     13 (0.0E+00) 3.6E+01  7.3197632E+01       5            3 1.5E+04         _
     28    13      2 1.0E+00     14 (0.0E+00) 2.6E+01  5.0712163E+01       5            3 2.7E+04         _
     31    14      3 1.0E+00     15 (0.0E+00) 3.7E+01  4.6411799E+01       5            4 3.4E+04         _
     32    15      1 1.0E+00     16 (0.0E+00) 3.4E+01  4.3776615E+01       5            4 1.9E+04         _
     33    16      1 1.0E+00     17 (0.0E+00) 2.2E+01  4.0576912E+01       5            4 7.2E+03         _
     34    17      1 1.0E+00     18 (0.0E+00) 1.2E+00  3.8700800E+01       5            4 6.7E+03         _
     35    18      1 1.0E+00     19 (0.0E+00) 5.5E-01  3.8443240E+01       5            4 9.5E+03         _
     36    19      1 1.0E+00     20 (0.0E+00) 5.5E-01  3.8405417E+01       5            4 9.7E+03         _
     37    19      2             20 (0.0E+00) 6.7E+00  3.8405417E+01       5            4 9.7E+03         _      c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
1
 
 SNOPTA EXIT  40 -- terminated after numerical difficulties
 SNOPTA INFO  41 -- current point cannot be improved

 Problem name                 Default
 No. of iterations                  39   Objective value      3.8405417026E+01
 No. of major iterations            19   Linear objective     0.0000000000E+00
 Penalty parameter           0.000E+00   Nonlinear objective  3.8405417026E+01
 No. of calls to funobj            246   No. of calls to funcon            246
 Calls with modes 1,2 (known g)     20   Calls with modes 1,2 (known g)     20
 Calls for forward differencing     56   Calls for forward differencing     56
 Calls for central differencing    104   Calls for central differencing    104
 No. of superbasics                  3   No. of basic nonlinears             1
 No. of degenerate steps             0   Percentage                        .00
 Max x                       2 5.9E+01   Max pi                      4 1.9E+01
 Max Primal infeas           0 0.0E+00   Max Dual infeas             9 1.9E+01
 Nonlinear constraint violn    0.0E+00
1
 
 Name           Default                  Objective Value      3.8405417026E+01

 Status         Optimal Soln             Iteration     39    Superbasics     3

 Objective               (Min)
 RHS
 Ranges
 Bounds

 Section 1 - Rows

  Number  ...Row.. State  ...Activity...  Slack Activity  ..Lower Limit.  ..Upper Limit.  .Dual Activity    ..i
 
       5  r      1 N  BS          .               .                None            None         -1.0          1
       6  r      2    BS        33.52974        13.52974        20.00000        80.00000          .           2
       7  r      3    BS        52.02209       -27.97791        20.00000        80.00000          .           3
       8  r      4    BS          .33757          .13757          .20000         1.0              .           4
       9  r      5 N  FR          .70261         -.29739          .20000         1.0           -19.44243      5
1
 
 Section 2 - Columns

  Number  .Column. State  ...Activity...  .Obj Gradient.  ..Lower Limit.  ..Upper Limit.  Reduced Gradnt    m+j
 
       1  x      1    BS          .15490       171.78907          .07700          .24000          .14348      6
       2  x      2 N SBS        59.13316         1.08290        20.00000        63.00000         1.08290      7
       3  x      3 N SBS          .48866         -.11245          .22000          .67000         -.42803      8
       4  x      4 N SBS        47.67520         -.78241        30.00000        90.00000         -.78241      9
1
 
 SNMEMA EXIT 100 -- finished successfully
 SNMEMA INFO 104 -- memory requirements estimated

         ==============================
         S N O P T  7.2-11   (Jan 2011)
         ==============================

 Nonzero derivs  Jij        18
 Non-constant    Jij's      18     Constant Jij's           0
1
 
 SNJAC  EXIT 100 -- finished successfully
 SNJAC  INFO 102 -- Jacobian structure estimated
1
 
 Parameters
 ==========

 Files
 -----
 Solution file..........         0       Old basis file ........         0       Standard input.........         5
 Insert file............         0       New basis file ........         0       (Printer)..............         9
 Punch file.............         0       Backup basis file......         0       (Specs file)...........         0
 Load file..............         0       Dump file..............         0       Standard output........         6

 Frequencies
 -----------
 Print frequency........       100       Check frequency........        60       Save new basis map.....       100
 Summary frequency......       100       Factorization frequency        50       Expand frequency.......     10000

 QP subproblems
 --------------
 QPsolver Cholesky......
 Scale tolerance........      .900       Minor feasibility tol..  1.00E-06       Iteration limit........       200
 Scale option...........         0       Minor optimality  tol..  1.00E-06       Minor print level......         1
 Crash tolerance........      .100       Pivot tolerance........  3.25E-11       Partial price..........         1
 Crash option...........         3       Elastic weight.........  1.00E+04       Prtl price section ( A)         4
                                         New superbasics........        99       Prtl price section (-I)         5

 The SQP Method
 --------------
 Minimize...............                 Cold start.............                 Proximal Point method..         1
 Nonlinear objectiv vars         4       Objective Row..........         1       Function precision.....  1.00E-06
 Unbounded step size....  1.00E+20       Superbasics limit......         4       Difference interval....  1.00E-03
 Unbounded objective....  1.00E+15       Reduced Hessian dim....         4       Central difference int.  1.00E-02
 Major step limit.......  2.00E+00       Nonderiv.  linesearch..                 Derivative option......         0
 Major iterations limit.      1000       Linesearch tolerance...    .90000       Verify level...........         0
 Minor iterations limit.       500       Penalty parameter......  0.00E+00       Major Print Level......         1
                                         Major optimality tol...  3.16E-03

 Hessian Approximation
 ---------------------
 Full-Memory Hessian....                 Hessian updates........  99999999       Hessian frequency......  99999999
                                                                                 Hessian flush..........  99999999

 Nonlinear constraints
 ---------------------
 Nonlinear constraints..         4       Major feasibility tol..  1.00E-06       Violation limit........  1.00E+06
 Nonlinear Jacobian vars         4

 Miscellaneous
 -------------
 LU factor tolerance....      3.99       LU singularity tol.....  3.25E-11       Timing level...........         0
 LU update tolerance....      3.99       LU swap tolerance......  1.22E-04       Debug level............         0
 LU partial  pivoting...                 eps (machine precision)  2.22E-16       System information.....        No
                                                                                 Sticky parameters......        No
1
 

 

 Matrix statistics
 -----------------
               Total      Normal        Free       Fixed     Bounded
 Rows              5           0           1           0           4
 Columns           4           0           0           0           4

 No. of matrix elements                   14     Density      70.000
 Biggest  constant element        0.0000E+00  (excluding fixed columns,
 Smallest constant element        0.0000E+00   free rows, and RHS)

 No. of objective coefficients             0

 Nonlinear constraints       4     Linear constraints       1
 Nonlinear variables         4     Linear variables         0
 Jacobian  variables         4     Objective variables      4
 Total constraints           5     Total variables          4
1
 

 
 The user has defined       0   out of      18   first  derivatives
1
 
 

   Itns Major Minors    Step   nCon Feasible  Optimal  MeritFunction     L+U BSwap     nS  condHz Penalty
      4     0      4              1 (0.0E+00) 4.8E-01  1.1576012E+02       8            2 1.0E+00         _  r
      6     1      2 8.8E-02      2 (0.0E+00) 4.3E-01  1.0158374E+02       8            3 1.0E+00         _n r
      8     2      2 7.5E-02      3 (0.0E+00) 6.2E+01  9.3829716E+01       8            4 3.3E+00         _s
      9     3      1 1.0E+00      4 (0.0E+00) 5.8E+01  8.9135716E+01       8            4 3.5E+00         _
     10     3      2 1.0E+00      4 (0.0E+00) 4.8E+01  8.9135716E+01       8            4 3.4E+00         _      c
     11     4      1 1.0E+00      5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _
     12     4      2              5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _      c
     13     5      1 4.5E-01      6 (0.0E+00) 6.9E+00  8.4334194E+01       8            4 2.9E+00         _
     14     5      2              6 (0.0E+00) 6.9E+00  8.4334194E+01       5     1      4 1.3E+02         _      c
     15     6      1 4.1E-01      7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _
     16     6      2              7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _      c
     17     7      1 4.5E-01      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _
     18     7      2 1.0E+00      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _      c
     19     8      1 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _
     20     8      2 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _      c
     21     9      1 1.0E+00     10 (0.0E+00) 1.9E+01  8.3998257E+01       5            4 1.6E+03         _
     22    10      1 1.0E+00     11 (0.0E+00) 4.4E+01  8.2524737E+01       5            4 2.9E+03         _
     24    11      2 1.0E+00     12 (0.0E+00) 5.1E+01  7.8634091E+01       5            3 3.2E+03         _
     26    12      2 1.0E+00     13 (0.0E+00) 3.6E+01  7.3197632E+01       5            3 1.5E+04         _
     28    13      2 1.0E+00     14 (0.0E+00) 2.6E+01  5.0712163E+01       5            3 2.7E+04         _
     31    14      3 1.0E+00     15 (0.0E+00) 3.7E+01  4.6411799E+01       5            4 3.4E+04         _
     32    15      1 1.0E+00     16 (0.0E+00) 3.4E+01  4.3776615E+01       5            4 1.9E+04         _
     33    16      1 1.0E+00     17 (0.0E+00) 2.2E+01  4.0576912E+01       5            4 7.2E+03         _
     34    17      1 1.0E+00     18 (0.0E+00) 1.2E+00  3.8700800E+01       5            4 6.7E+03         _
     35    18      1 1.0E+00     19 (0.0E+00) 5.5E-01  3.8443240E+01       5            4 9.5E+03         _
     36    19      1 1.0E+00     20 (0.0E+00) 5.5E-01  3.8405417E+01       5            4 9.7E+03         _
     37    19      2             20 (0.0E+00) 6.7E+00  3.8405417E+01       5            4 9.7E+03         _      c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
1
 
 SNOPTA EXIT  40 -- terminated after numerical difficulties
 SNOPTA INFO  41 -- current point cannot be improved

 Problem name                 Default
 No. of iterations                  39   Objective value      3.8405417026E+01
 No. of major iterations            19   Linear objective     0.0000000000E+00
 Penalty parameter           0.000E+00   Nonlinear objective  3.8405417026E+01
 No. of calls to funobj            246   No. of calls to funcon            246
 Calls with modes 1,2 (known g)     20   Calls with modes 1,2 (known g)     20
 Calls for forward differencing     56   Calls for forward differencing     56
 Calls for central differencing    104   Calls for central differencing    104
 No. of superbasics                  3   No. of basic nonlinears             1
 No. of degenerate steps             0   Percentage                        .00
 Max x                       2 5.9E+01   Max pi                      4 1.9E+01
 Max Primal infeas           0 0.0E+00   Max Dual infeas             9 1.9E+01
 Nonlinear constraint violn    0.0E+00
1
 
 Name           Default                  Objective Value      3.8405417026E+01

 Status         Optimal Soln             Iteration     39    Superbasics     3

 Objective               (Min)
 RHS
 Ranges
 Bounds

 Section 1 - Rows

  Number  ...Row.. State  ...Activity...  Slack Activity  ..Lower Limit.  ..Upper Limit.  .Dual Activity    ..i
 
       5  r      1 N  BS          .               .                None            None         -1.0          1
       6  r      2    BS        33.52974        13.52974        20.00000        80.00000          .           2
       7  r      3    BS        52.02209       -27.97791        20.00000        80.00000          .           3
       8  r      4    BS          .33757          .13757          .20000         1.0              .           4
       9  r      5 N  FR          .70261         -.29739          .20000         1.0           -19.44243      5
1
 
 Section 2 - Columns

  Number  .Column. State  ...Activity...  .Obj Gradient.  ..Lower Limit.  ..Upper Limit.  Reduced Gradnt    m+j
 
       1  x      1    BS          .15490       171.78907          .07700          .24000          .14348      6
       2  x      2 N SBS        59.13316         1.08290        20.00000        63.00000         1.08290      7
       3  x      3 N SBS          .48866         -.11245          .22000          .67000         -.42803      8
       4  x      4 N SBS        47.67520         -.78241        30.00000        90.00000         -.78241      9
1
 
 SNMEMA EXIT 100 -- finished successfully
 SNMEMA INFO 104 -- memory requirements estimated

         ==============================
         S N O P T  7.2-11   (Jan 2011)
         ==============================

 Nonzero derivs  Jij        18
 Non-constant    Jij's      18     Constant Jij's           0
1
 
 SNJAC  EXIT 100 -- finished successfully
 SNJAC  INFO 102 -- Jacobian structure estimated
1
 
 Parameters
 ==========

 Files
 -----
 Solution file..........         0       Old basis file ........         0       Standard input.........         5
 Insert file............         0       New basis file ........         0       (Printer)..............         9
 Punch file.............         0       Backup basis file......         0       (Specs file)...........         0
 Load file..............         0       Dump file..............         0       Standard output........         6

 Frequencies
 -----------
 Print frequency........       100       Check frequency........        60       Save new basis map.....       100
 Summary frequency......       100       Factorization frequency        50       Expand frequency.......     10000

 QP subproblems
 --------------
 QPsolver Cholesky......
 Scale tolerance........      .900       Minor feasibility tol..  1.00E-06       Iteration limit........       200
 Scale option...........         0       Minor optimality  tol..  1.00E-06       Minor print level......         1
 Crash tolerance........      .100       Pivot tolerance........  3.25E-11       Partial price..........         1
 Crash option...........         3       Elastic weight.........  1.00E+04       Prtl price section ( A)         4
                                         New superbasics........        99       Prtl price section (-I)         5

 The SQP Method
 --------------
 Minimize...............                 Cold start.............                 Proximal Point method..         1
 Nonlinear objectiv vars         4       Objective Row..........         1       Function precision.....  1.00E-06
 Unbounded step size....  1.00E+20       Superbasics limit......         4       Difference interval....  1.00E-03
 Unbounded objective....  1.00E+15       Reduced Hessian dim....         4       Central difference int.  1.00E-02
 Major step limit.......  2.00E+00       Nonderiv.  linesearch..                 Derivative option......         0
 Major iterations limit.      1000       Linesearch tolerance...    .90000       Verify level...........         0
 Minor iterations limit.       500       Penalty parameter......  0.00E+00       Major Print Level......         1
                                         Major optimality tol...  3.16E-03

 Hessian Approximation
 ---------------------
 Full-Memory Hessian....                 Hessian updates........  99999999       Hessian frequency......  99999999
                                                                                 Hessian flush..........  99999999

 Nonlinear constraints
 ---------------------
 Nonlinear constraints..         4       Major feasibility tol..  1.00E-06       Violation limit........  1.00E+06
 Nonlinear Jacobian vars         4

 Miscellaneous
 -------------
 LU factor tolerance....      3.99       LU singularity tol.....  3.25E-11       Timing level...........         3
 LU update tolerance....      3.99       LU swap tolerance......  1.22E-04       Debug level............         0
 LU partial  pivoting...                 eps (machine precision)  2.22E-16       System information.....        No
                                                                                 Sticky parameters......        No
1
 

 

 Matrix statistics
 -----------------
               Total      Normal        Free       Fixed     Bounded
 Rows              5           0           1           0           4
 Columns           4           0           0           0           4

 No. of matrix elements                   14     Density      70.000
 Biggest  constant element        0.0000E+00  (excluding fixed columns,
 Smallest constant element        0.0000E+00   free rows, and RHS)

 No. of objective coefficients             0

 Nonlinear constraints       4     Linear constraints       1
 Nonlinear variables         4     Linear variables         0
 Jacobian  variables         4     Objective variables      4
 Total constraints           5     Total variables          4
1
 

 
 The user has defined       0   out of      18   first  derivatives
1
 
 

   Itns Major Minors    Step   nCon Feasible  Optimal  MeritFunction     L+U BSwap     nS  condHz Penalty
      4     0      4              1 (0.0E+00) 4.8E-01  1.1576012E+02       8            2 1.0E+00         _  r
      6     1      2 8.8E-02      2 (0.0E+00) 4.3E-01  1.0158374E+02       8            3 1.0E+00         _n r
      8     2      2 7.5E-02      3 (0.0E+00) 6.2E+01  9.3829716E+01       8            4 3.3E+00         _s
      9     3      1 1.0E+00      4 (0.0E+00) 5.8E+01  8.9135716E+01       8            4 3.5E+00         _
     10     3      2 1.0E+00      4 (0.0E+00) 4.8E+01  8.9135716E+01       8            4 3.4E+00         _      c
     11     4      1 1.0E+00      5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _
     12     4      2              5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _      c
     13     5      1 4.5E-01      6 (0.0E+00) 6.9E+00  8.4334194E+01       8            4 2.9E+00         _
     14     5      2              6 (0.0E+00) 6.9E+00  8.4334194E+01       5     1      4 1.3E+02         _      c
     15     6      1 4.1E-01      7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _
     16     6      2              7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _      c
     17     7      1 4.5E-01      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _
     18     7      2 1.0E+00      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _      c
     19     8      1 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _
     20     8      2 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _      c
     21     9      1 1.0E+00     10 (0.0E+00) 1.9E+01  8.3998257E+01       5            4 1.6E+03         _
     22    10      1 1.0E+00     11 (0.0E+00) 4.4E+01  8.2524737E+01       5            4 2.9E+03         _
     24    11      2 1.0E+00     12 (0.0E+00) 5.1E+01  7.8634091E+01       5            3 3.2E+03         _
     26    12      2 1.0E+00     13 (0.0E+00) 3.6E+01  7.3197632E+01       5            3 1.5E+04         _
     28    13      2 1.0E+00     14 (0.0E+00) 2.6E+01  5.0712163E+01       5            3 2.7E+04         _
     31    14      3 1.0E+00     15 (0.0E+00) 3.7E+01  4.6411799E+01       5            4 3.4E+04         _
     32    15      1 1.0E+00     16 (0.0E+00) 3.4E+01  4.3776615E+01       5            4 1.9E+04         _
     33    16      1 1.0E+00     17 (0.0E+00) 2.2E+01  4.0576912E+01       5            4 7.2E+03         _
     34    17      1 1.0E+00     18 (0.0E+00) 1.2E+00  3.8700800E+01       5            4 6.7E+03         _
     35    18      1 1.0E+00     19 (0.0E+00) 5.5E-01  3.8443240E+01       5            4 9.5E+03         _
     36    19      1 1.0E+00     20 (0.0E+00) 5.5E-01  3.8405417E+01       5            4 9.7E+03         _
     37    19      2             20 (0.0E+00) 6.7E+00  3.8405417E+01       5            4 9.7E+03         _      c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
1
 
 SNOPTA EXIT  40 -- terminated after numerical difficulties
 SNOPTA INFO  41 -- current point cannot be improved

 Problem name                 Default
 No. of iterations                  39   Objective value      3.8405417026E+01
 No. of major iterations            19   Linear objective     0.0000000000E+00
 Penalty parameter           0.000E+00   Nonlinear objective  3.8405417026E+01
 No. of calls to funobj            246   No. of calls to funcon            246
 Calls with modes 1,2 (known g)     20   Calls with modes 1,2 (known g)     20
 Calls for forward differencing     56   Calls for forward differencing     56
 Calls for central differencing    104   Calls for central differencing    104
 No. of superbasics                  3   No. of basic nonlinears             1
 No. of degenerate steps             0   Percentage                        .00
 Max x                       2 5.9E+01   Max pi                      4 1.9E+01
 Max Primal infeas           0 0.0E+00   Max Dual infeas             9 1.9E+01
 Nonlinear constraint violn    0.0E+00
1
 
 Name           Default                  Objective Value      3.8405417026E+01

 Status         Optimal Soln             Iteration     39    Superbasics     3

 Objective               (Min)
 RHS
 Ranges
 Bounds

 Section 1 - Rows

  Number  ...Row.. State  ...Activity...  Slack Activity  ..Lower Limit.  ..Upper Limit.  .Dual Activity    ..i
 
       5  r      1 N  BS          .               .                None            None         -1.0          1
       6  r      2    BS        33.52974        13.52974        20.00000        80.00000          .           2
       7  r      3    BS        52.02209       -27.97791        20.00000        80.00000          .           3
       8  r      4    BS          .33757          .13757          .20000         1.0              .           4
       9  r      5 N  FR          .70261         -.29739          .20000         1.0           -19.44243      5
1
 
 Section 2 - Columns

  Number  .Column. State  ...Activity...  .Obj Gradient.  ..Lower Limit.  ..Upper Limit.  Reduced Gradnt    m+j
 
       1  x      1    BS          .15490       171.78907          .07700          .24000          .14348      6
       2  x      2 N SBS        59.13316         1.08290        20.00000        63.00000         1.08290      7
       3  x      3 N SBS          .48866         -.11245          .22000          .67000         -.42803      8
       4  x      4 N SBS        47.67520         -.78241        30.00000        90.00000         -.78241      9
 
 Time for MPS input                              .00 seconds
 Time for solving problem              ************* seconds
 Time for solution output                        .00 seconds
 Time for constraint functions         ************* seconds
 Time for objective function                     .00 seconds
1
 
 SNMEMA EXIT 100 -- finished successfully
 SNMEMA INFO 104 -- memory requirements estimated

         ==============================
         S N O P T  7.2-11   (Jan 2011)
         ==============================

 Nonzero derivs  Jij        18
 Non-constant    Jij's      18     Constant Jij's           0
1
 
 SNJAC  EXIT 100 -- finished successfully
 SNJAC  INFO 102 -- Jacobian structure estimated
1
 
 Parameters
 ==========

 Files
 -----
 Solution file..........         0       Old basis file ........         0       Standard input.........         5
 Insert file............         0       New basis file ........         0       (Printer)..............         9
 Punch file.............         0       Backup basis file......         0       (Specs file)...........         0
 Load file..............         0       Dump file..............         0       Standard output........         6

 Frequencies
 -----------
 Print frequency........       100       Check frequency........        60       Save new basis map.....       100
 Summary frequency......       100       Factorization frequency        50       Expand frequency.......     10000

 QP subproblems
 --------------
 QPsolver Cholesky......
 Scale tolerance........      .900       Minor feasibility tol..  1.00E-06       Iteration limit........       200
 Scale option...........         0       Minor optimality  tol..  1.00E-06       Minor print level......         1
 Crash tolerance........      .100       Pivot tolerance........  3.25E-11       Partial price..........         1
 Crash option...........         3       Elastic weight.........  1.00E+04       Prtl price section ( A)         4
                                         New superbasics........        99       Prtl price section (-I)         5

 The SQP Method
 --------------
 Minimize...............                 Cold start.............                 Proximal Point method..         1
 Nonlinear objectiv vars         4       Objective Row..........         1       Function precision.....  1.00E-06
 Unbounded step size....  1.00E+20       Superbasics limit......         4       Difference interval....  1.00E-03
 Unbounded objective....  1.00E+15       Reduced Hessian dim....         4       Central difference int.  1.00E-02
 Major step limit.......  2.00E+00       Nonderiv.  linesearch..                 Derivative option......         0
 Major iterations limit.      1000       Linesearch tolerance...    .90000       Verify level...........         0
 Minor iterations limit.       500       Penalty parameter......  0.00E+00       Major Print Level......         1
                                         Major optimality tol...  3.16E-03

 Hessian Approximation
 ---------------------
 Full-Memory Hessian....                 Hessian updates........  99999999       Hessian frequency......  99999999
                                                                                 Hessian flush..........  99999999

 Nonlinear constraints
 ---------------------
 Nonlinear constraints..         4       Major feasibility tol..  1.00E-06       Violation limit........  1.00E+06
 Nonlinear Jacobian vars         4

 Miscellaneous
 -------------
 LU factor tolerance....      3.99       LU singularity tol.....  3.25E-11       Timing level...........         3
 LU update tolerance....      3.99       LU swap tolerance......  1.22E-04       Debug level............         0
 LU partial  pivoting...                 eps (machine precision)  2.22E-16       System information.....        No
                                                                                 Sticky parameters......        No
1
 

 

 Matrix statistics
 -----------------
               Total      Normal        Free       Fixed     Bounded
 Rows              5           0           1           0           4
 Columns           4           0           0           0           4

 No. of matrix elements                   14     Density      70.000
 Biggest  constant element        0.0000E+00  (excluding fixed columns,
 Smallest constant element        0.0000E+00   free rows, and RHS)

 No. of objective coefficients             0

 Nonlinear constraints       4     Linear constraints       1
 Nonlinear variables         4     Linear variables         0
 Jacobian  variables         4     Objective variables      4
 Total constraints           5     Total variables          4
1
 

 
 The user has defined       0   out of      18   first  derivatives
1
 
 

   Itns Major Minors    Step   nCon Feasible  Optimal  MeritFunction     L+U BSwap     nS  condHz Penalty
      4     0      4              1 (0.0E+00) 4.8E-01  1.1576012E+02       8            2 1.0E+00         _  r
      6     1      2 8.8E-02      2 (0.0E+00) 4.3E-01  1.0158374E+02       8            3 1.0E+00         _n r
      8     2      2 7.5E-02      3 (0.0E+00) 6.2E+01  9.3829716E+01       8            4 3.3E+00         _s
      9     3      1 1.0E+00      4 (0.0E+00) 5.8E+01  8.9135716E+01       8            4 3.5E+00         _
     10     3      2 1.0E+00      4 (0.0E+00) 4.8E+01  8.9135716E+01       8            4 3.4E+00         _      c
     11     4      1 1.0E+00      5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _
     12     4      2              5 (0.0E+00) 9.7E+00  8.4354374E+01       8            4 3.1E+00         _      c
     13     5      1 4.5E-01      6 (0.0E+00) 6.9E+00  8.4334194E+01       8            4 2.9E+00         _
     14     5      2              6 (0.0E+00) 6.9E+00  8.4334194E+01       5     1      4 1.3E+02         _      c
     15     6      1 4.1E-01      7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _
     16     6      2              7 (0.0E+00) 6.9E+00  8.4328001E+01       5            4 2.1E+02         _      c
     17     7      1 4.5E-01      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _
     18     7      2 1.0E+00      8 (0.0E+00) 6.9E+00  8.4309624E+01       5            4 3.5E+02         _      c
     19     8      1 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _
     20     8      2 1.0E+00      9 (0.0E+00) 1.2E+01  8.4267756E+01       5            4 7.0E+02         _      c
     21     9      1 1.0E+00     10 (0.0E+00) 1.9E+01  8.3998257E+01       5            4 1.6E+03         _
     22    10      1 1.0E+00     11 (0.0E+00) 4.4E+01  8.2524737E+01       5            4 2.9E+03         _
     24    11      2 1.0E+00     12 (0.0E+00) 5.1E+01  7.8634091E+01       5            3 3.2E+03         _
     26    12      2 1.0E+00     13 (0.0E+00) 3.6E+01  7.3197632E+01       5            3 1.5E+04         _
     28    13      2 1.0E+00     14 (0.0E+00) 2.6E+01  5.0712163E+01       5            3 2.7E+04         _
     31    14      3 1.0E+00     15 (0.0E+00) 3.7E+01  4.6411799E+01       5            4 3.4E+04         _
     32    15      1 1.0E+00     16 (0.0E+00) 3.4E+01  4.3776615E+01       5            4 1.9E+04         _
     33    16      1 1.0E+00     17 (0.0E+00) 2.2E+01  4.0576912E+01       5            4 7.2E+03         _
     34    17      1 1.0E+00     18 (0.0E+00) 1.2E+00  3.8700800E+01       5            4 6.7E+03         _
     35    18      1 1.0E+00     19 (0.0E+00) 5.5E-01  3.8443240E+01       5            4 9.5E+03         _
     36    19      1 1.0E+00     20 (0.0E+00) 5.5E-01  3.8405417E+01       5            4 9.7E+03         _
     37    19      2             20 (0.0E+00) 6.7E+00  3.8405417E+01       5            4 9.7E+03         _      c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
     39    19      4             20 (0.0E+00) 2.8E-01  3.8405417E+01       8            3 1.0E+00         _  r   c
1
 
 SNOPTA EXIT  40 -- terminated after numerical difficulties
 SNOPTA INFO  41 -- current point cannot be improved

 Problem name                 Default
 No. of iterations                  39   Objective value      3.8405417026E+01
 No. of major iterations            19   Linear objective     0.0000000000E+00
 Penalty parameter           0.000E+00   Nonlinear objective  3.8405417026E+01
 No. of calls to funobj            246   No. of calls to funcon            246
 Calls with modes 1,2 (known g)     20   Calls with modes 1,2 (known g)     20
 Calls for forward differencing     56   Calls for forward differencing     56
 Calls for central differencing    104   Calls for central differencing    104
 No. of superbasics                  3   No. of basic nonlinears             1
 No. of degenerate steps             0   Percentage                        .00
 Max x                       2 5.9E+01   Max pi                      4 1.9E+01
 Max Primal infeas           0 0.0E+00   Max Dual infeas             9 1.9E+01
 Nonlinear constraint violn    0.0E+00
1
 
 Name           Default                  Objective Value      3.8405417026E+01

 Status         Optimal Soln             Iteration     39    Superbasics     3

 Objective               (Min)
 RHS
 Ranges
 Bounds

 Section 1 - Rows

  Number  ...Row.. State  ...Activity...  Slack Activity  ..Lower Limit.  ..Upper Limit.  .Dual Activity    ..i
 
       5  r      1 N  BS          .               .                None            None         -1.0          1
       6  r      2    BS        33.52974        13.52974        20.00000        80.00000          .           2
       7  r      3    BS        52.02209       -27.97791        20.00000        80.00000          .           3
       8  r      4    BS          .33757          .13757          .20000         1.0              .           4
       9  r      5 N  FR          .70261         -.29739          .20000         1.0           -19.44243      5
1
 
 Section 2 - Columns

  Number  .Column. State  ...Activity...  .Obj Gradient.  ..Lower Limit.  ..Upper Limit.  Reduced Gradnt    m+j
 
       1  x      1    BS          .15490       171.78907          .07700          .24000          .14348      6
       2  x      2 N SBS        59.13316         1.08290        20.00000        63.00000         1.08290      7
       3  x      3 N SBS          .48866         -.11245          .22000          .67000         -.42803      8
       4  x      4 N SBS        47.67520         -.78241        30.00000        90.00000         -.78241      9
 
 Time for MPS input                              .00 seconds
 Time for solving problem                      -2.00 seconds
 Time for solution output                        .00 seconds
 Time for constraint functions                   .00 seconds
 Time for objective function                     .00 seconds
