text: from numpy import array
  def case_de_69():
  	ppc = {"version": '2'}
  	ppc["baseMVA"] = 100.0
  	ppc["bus"] = array([
  		[75,     2,   112.5,    22.5,     0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[502,    2,   248.86,   49.77,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[44,     2,   153.37,   30.67,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[492,    2,   84.66,    16.93,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[180,    2,   49.12,    9.82,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[46,     1,   0,        0,        0,      0,      5,   -5.2947852284380954e+17,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[21,     2,   985.91,   197.18,   0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[33,     2,   202.97,   40.59,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[559,    2,   75.11,    15.02,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[18,     1,   0,        0,        0,      0,      5,   -9.56884477472148e+17,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[73,     2,   90.26,    18.05,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[503,    2,   76.21,    15.24,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[511,    2,   111.59,   22.32,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[72,     2,   281.95,   56.39,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[288,    2,   65.89,    13.18,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[339,    2,   164.56,   32.91,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[321,    2,   212.21,   42.44,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[8,      2,   163.03,   32.61,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[292,    2,   134.44,   26.89,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[343,    2,   119.7,    23.94,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[12,     1,   0,        0,        0,      0,      5,   -1.0321999291890356e+18,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[340,    2,   139.13,   27.83,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[177,    2,   28.63,    5.73,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[497,    2,   1039.86,  207.97,   0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[102,    2,   150.85,   30.17,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[311,    2,   207.35,   41.47,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[429,    2,   354.92,   70.98,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[32,     1,   0,        0,        0,      0,      5,   -2.7506792317981194e+18,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[22,     1,   0,        0,        0,      0,      5,   -2300568862295937.5,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[101,    2,   77.94,    15.59,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[71,     2,   172.14,   34.43,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[558,    2,   140.33,   28.07,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[217,    2,   42.46,    8.49,     0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[322,    2,   27.02,    5.4,      0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[278,    2,   156.99,   31.4,     0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[498,    2,   48.77,    9.75,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[47,     2,   353.99,   70.8,     0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[346,    2,   325.79,   65.16,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[74,     1,   0,        0,        0,      0,      5,   -4.80220908956776e+18,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[557,    2,   237.99,   47.6,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[42,     1,   0,        0,        0,      0,      5,   -2.9087058074961623e+18,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[39,     3,   69.63,    13.93,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[45,     2,   81.41,    16.28,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[493,    2,   109.12,   21.82,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[98,     2,   110.06,   22.01,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[435,    2,   157.24,   31.45,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[338,    2,   266.07,   53.21,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[79,     2,   108.6,    21.72,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[78,     1,   0,        0,        0,      0,      5,   -1.805361310331363e+19,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[512,    2,   73.71,    14.74,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[276,    2,   201.09,   40.22,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[569,    2,   194.75,   38.95,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[37,     1,   0,        0,        0,      0,      5,   -2.3846521338345497e+19,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[179,    2,   55.88,    11.18,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[325,    2,   161.86,   32.37,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[20,     1,   0,        0,        0,      0,      5,   -8.538669668654437e+16,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[496,    2,   8.32,     1.66,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[279,    1,   0,        0,        0,      0,      5,   -6.30196997641683e+17,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[436,    2,   83.95,    16.79,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[345,    2,   328.17,   65.63,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[505,    2,   353.99,   70.8,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[290,    1,   0,        0,        0,      0,      5,   0.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[363,    2,   332.09,   66.42,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[11,     2,   96.6,     19.32,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[277,    1,   0,        0,        0,      0,      5,   3.708497882443965e+16,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[441,    2,   61.89,    12.38,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[280,    1,   0,        0,        0,      0,      5,   -3.2673701659262024e+16,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[504,    2,   49.91,    9.98,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[181,    2,   37.07,    7.41,     0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[291,    2,   68.19,    13.64,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[344,    2,   300.12,   60.02,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[40,     2,   72.74,    14.55,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[80,     2,   115.35,   23.07,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[183,    2,   502.71,   100.54,   0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[440,    2,   80.73,    16.15,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[43,     2,   119.88,   23.98,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[10,     1,   0,        0,        0,      0,      5,   -1.5725770661863023e+19,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[81,     2,   130.21,   26.04,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[560,    2,   117.33,   23.47,    0,      0,      5,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[341,    2,   125.78,   25.16,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[17,     2,   92.8,     18.56,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[41,     2,   78.17,    15.63,    0,      0,      5,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[192,    2,   58.9,     11.78,    0,      0,      0,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[342,    2,   218.19,   43.64,    0,      0,      0,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[218,    2,   129.37,   25.87,    0,      0,      0,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[65,     2,   5.75,     1.15,     0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[289,    2,   103.62,   20.72,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[324,    2,   496.87,   99.37,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[48,     2,   243.32,   48.66,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[332,    1,   0,        0,        0,      0,      0,   -2.3322793844065786e+20,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[422,    2,   81.01,    16.2,     0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[23,     2,   129.09,   25.82,    0,      0,      0,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[570,    2,   304.03,   60.81,    0,      0,      0,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[38,     2,   212.66,   42.53,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[31,     2,   161.89,   32.38,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[49,     2,   61.55,    12.31,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[182,    2,   1.68,     0.34,     0,      0,      0,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[9,      2,   110.25,   22.05,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[323,    2,   2.81,     0.56,     0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[400,    2,   58.93,    11.79,    0,      0,      0,   1.0,      0,        220.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[30,     1,   0,        0,        0,      0,      0,   -7.977370122193087e+17,0,        380.0,    0,   1.1,      0.9,      0.6, 10   ],
  		[25,     2,   61.74,    12.35,    0,      0,      0,   1.0,      0,        380.0,    0,   1.1,      0.9,      0.6, 10   ]
  	])
  	ppc["gen"] = array([
  		[102,    0,        0,        33.95,    -8.49,    1.0,      100,    1,   67.9,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   101.85,   13.58,    20.37,    20.37,    27.16     ],
  		[493,    0,        0,        75.0,     -18.75,   1.0,      100,    1,   150.0,    0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   225.0,    30.0,     45.0,     45.0,     60.0      ],
  		[493,    0,        0,        15.0,     -3.75,    1.0,      100,    1,   30.0,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   45.0,     6.0,      9.0,      9.0,      12.0      ],
  		[177,    0,        0,        16.35,    -4.09,    1.0,      100,    1,   32.7,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   49.05,    6.54,     9.81,     9.81,     13.08     ],
  		[180,    0,        0,        12.7,     -3.18,    1.0,      100,    1,   25.4,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   38.1,     5.08,     7.62,     7.62,     10.16     ],
  		[180,    0,        0,        166.75,   -41.69,   1.0,      100,    1,   333.5,    0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   500.25,   66.7,     100.05,   100.05,   133.4     ],
  		[180,    0,        0,        14.45,    -3.61,    1.0,      100,    1,   28.9,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   43.35,    5.78,     8.67,     8.67,     11.56     ],
  		[183,    0,        0,        11.25,    -2.81,    1.0,      100,    1,   22.5,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   33.75,    4.5,      6.75,     6.75,     9.0       ],
  		[183,    0,        0,        383.0,    -95.75,   1.0,      100,    1,   766.0,    0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   1149.0,   153.2,    229.8,    229.8,    306.4     ],
  		[183,    0,        0,        19.0,     -4.75,    1.0,      100,    1,   38.0,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   57.0,     7.6,      11.4,     11.4,     15.2      ],
  		[183,    0,        0,        12.0,     -3.0,     1.0,      100,    1,   24.0,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   36.0,     4.8,      7.2,      7.2,      9.6       ],
  		[496,    0,        0,        26.4,     -6.6,     1.0,      100,    1,   52.8,     0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   79.2,     10.56,    15.84,    15.84,    21.12     ],
  		[21,     0,        0,        63.5,     -15.88,   1.0,      100,    1,   127.0,    0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   190.5,    25.4,     38.1,     38.1,     50.8      ],
  		[21,     0,        0,        97.0,     -24.25,   1.0,      100,    1,   194.0,    0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0.95,   291.0,    38.8,     58.2,     58.2,     77.6      ],
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  		[505,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[511,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[512,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[557,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[558,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[559,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[560,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[569,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  		[570,    0,        0,        0.0,      -0.0,     1.0,      100,    1,   0.0,      0.0,      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2,   0.95,   0.0,      0.0,      0.0,      0.0,      0.0       ],
  	])
  	ppc["branch"] = array([
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  		[492,    11,     0.0045562,     0.01822479,    0.04820045,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[492,    493,    0.01130413,    0.04521653,    0.11958747,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[17,     18,     0.00462352,    0.04623523,    0.9335989,     898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[17,     12,     0.0005602,     0.00560203,    0.1131183,     898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[20,     21,     0.00108334,    0.01083345,    0.09722357,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[20,     22,     0.00099339,    0.00993386,    0.3566014,     1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[497,    23,     0.0005476,     0.00219041,    0.00579315,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[25,     22,     0.00035578,    0.00355783,    0.03192931,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[8,      21,     0.00098947,    0.00989474,    0.0887992,     598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[31,     32,     0.00299776,    0.02997761,    0.60531903,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[32,     33,     0.00167622,    0.01676223,    0.33846928,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[37,     10,     0.00240464,    0.0240464,     0.48555384,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[10,     38,     0.00068488,    0.0068488,     0.13829351,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[37,     38,     0.00143783,    0.01437835,    1.16133176,    1796,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[492,    43,     0.00909587,    0.03638347,    0.09622603,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[44,     505,    0.00151537,    0.00606149,    0.01603126,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[46,     12,     0.00029482,    0.00294823,    0.10583438,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[47,     48,     0.00053442,    0.00534418,    0.01199019,    299,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[31,     33,     0.0013476,     0.01347599,    0.27211226,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[71,     72,     0.00088786,    0.00887864,    0.31872128,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[73,     74,     0.00125295,    0.01252955,    0.25300129,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[37,     75,     0.00274591,    0.02745914,    0.5544652,     898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[72,     75,     0.00066887,    0.00668871,    0.24010838,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[37,     72,     0.00362221,    0.03622207,    0.73140949,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[73,     72,     0.00254751,    0.02547507,    0.51440208,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[18,     40,     0.00130277,    0.0130277,     0.26306019,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[81,     79,     0.00215357,    0.02153566,    0.1932694,     598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[42,     98,     0.00061835,    0.00618352,    0.22197315,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[37,     39,     0.00065102,    0.00651021,    0.23370076,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[80,     288,    0.00159681,    0.01596814,    0.14330432,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[80,     289,    0.00015471,    0.00154709,    0.03123945,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
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  		[32,     292,    0.00096794,    0.00967936,    0.34746542,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[503,    560,    0.00378512,    0.0151405,     0.16017272,    693,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[311,    280,    0.00034337,    0.00343369,    0.1232611,     1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[280,    278,    0.00097498,    0.00974977,    0.78748387,    1796,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[311,    32,     0.00241133,    0.02411334,    0.48690559,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[557,    321,    0.00500298,    0.0200119,     0.05292694,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[277,    65,     0.00188585,    0.01885849,    0.38079775,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[322,    288,    0.001309,      0.01309003,    0.26431871,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[322,    323,    0.00035076,    0.00350762,    0.07082712,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[322,    323,    0.00037006,    0.0037006,     0.0747239,     898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[277,    324,    0.00197195,    0.01971953,    0.39818407,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[324,    325,    0.00110351,    0.01103509,    0.2228246,     898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[277,    325,    0.00086657,    0.00866574,    0.17498191,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[332,    78,     0.00129444,    0.01294437,    0.26137749,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[322,    288,    0.001309,      0.01309003,    0.26431871,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[324,    288,    0.00126274,    0.01262742,    0.1133234,     598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[338,    559,    0.00230702,    0.0092281,     0.09762492,    693,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[339,    559,    0.00890149,    0.03560595,    0.02354242,    173,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[339,    340,    0.02177884,    0.08711537,    0.23040041,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[559,    340,    0.05245818,    0.20983273,    0.13874,       173,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[341,    292,    9.329e-05,     0.00093294,    0.07535316,    1796,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[338,    559,    0.00461405,    0.0184562,     0.04881246,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[557,    342,    0.00302595,    0.0121038,     0.03201181,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[558,    343,    0.00266256,    0.01065025,    0.11266997,    693,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[502,    340,    0.01086926,    0.04347702,    0.11498688,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[502,    340,    0.01086876,    0.04347504,    0.11498163,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[72,     32,     0.00135107,    0.01351073,    0.48500226,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[72,     32,     0.001351,      0.01351004,    0.4849774,     1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[344,    345,    5.763e-05,     0.00057629,    0.04654687,    1796,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[346,    47,     0.0001134,     0.001134,      0.04070792,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[46,     47,     8.975e-05,     0.00089751,    0.0322183,     1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[346,    345,    7.218e-05,     0.00072178,    0.02591013,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[363,    344,    2.663e-05,     0.00026627,    0.00955859,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[332,    78,     0.00129421,    0.01294206,    0.26133088,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[37,     49,     0.0016876,     0.01687604,    0.15145211,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[37,     49,     0.0016883,     0.01688296,    0.15151426,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[81,     74,     0.00150357,    0.01503566,    0.13493589,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[81,     74,     0.00150416,    0.01504155,    0.13498871,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[278,    80,     0.00325679,    0.03256787,    0.29227666,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[278,    80,     0.0032572,     0.03257202,    0.29231395,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[81,     278,    0.00421184,    0.04211842,    0.37798704,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[81,     278,    0.0042108,     0.04210803,    0.37789381,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[569,    570,    0.00813488,    0.0325395,     0.08605961,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[498,    400,    0.00303355,    0.01213421,    0.03209225,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[557,    342,    0.00300992,    0.01203967,    0.0318422,     346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[557,    321,    0.00500231,    0.02000926,    0.05291995,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[277,    65,     0.00188603,    0.01886034,    0.38083504,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[8,      21,     0.00098975,    0.00989751,    0.08882406,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[311,    32,     0.00241182,    0.02411819,    0.48700348,    898,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[422,    81,     0.0002536,     0.00253601,    0.02275915,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[422,    81,     0.00023449,    0.00234488,    0.02104382,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[422,    81,     0.00023272,    0.00232722,    0.02088534,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[422,    81,     0.00023518,    0.0023518,     0.02110597,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[422,    81,     0.00023269,    0.00232687,    0.02088223,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[422,    81,     0.0002536,     0.00253601,    0.02275915,    598,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[45,     429,    0.00640579,    0.02562314,    0.0677674,     346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[44,     429,    1.322e-05,     5.289e-05,     0.00013989,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[505,    429,    0.00150314,    0.00601256,    0.01590186,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[32,     436,    0.00044813,    0.0044813,     0.16086776,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[435,    436,    6.634e-05,     0.00066343,    0.02381569,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[78,     436,    0.00089768,    0.0089768,     0.32224515,    1197,   0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[181,    441,    0.01020132,    0.04080529,    0.10792074,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[440,    441,    3.306e-05,     0.00013223,    0.00034972,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[504,    441,    0.01479025,    0.05916099,    0.15646741,    346,    0, 0, 0,      0, 1, -30,    30,     0.1     ],
  		[10,     492,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[12,     493,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[18,     496,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[20,     497,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[22,     498,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[32,     502,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[37,     503,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[42,     504,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[46,     505,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[74,     511,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[78,     512,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[277,    557,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[279,    558,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[280,    559,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[290,    560,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ],
  		[332,    569,    0.0,           0.005,         0.0,           2000,   0, 0, 1.0,    0, 1, -30,    30,     0.1     ]
  	])
  	ppc["gencost"] = array([
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		28.0,     0, 42.0,   21.0,   33.6,   16.8    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		100.0,    0, 150.0,  75.0,   120.0,  60.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		25.0,     0, 37.5,   18.75,  30.0,   15.0    ],
  		[2, 0, 0, 3, 0,		100.0,    0, 150.0,  75.0,   120.0,  60.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		25.0,     0, 37.5,   18.75,  30.0,   15.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		25.0,     0, 37.5,   18.75,  30.0,   15.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		100.0,    0, 150.0,  75.0,   120.0,  60.0    ],
  		[2, 0, 0, 3, 0,		10.0,     0, 15.0,   7.5,    12.0,   6.0     ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		100.0,    0, 150.0,  75.0,   120.0,  60.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		10.0,     0, 15.0,   7.5,    12.0,   6.0     ],
  		[2, 0, 0, 3, 0,		10.0,     0, 15.0,   7.5,    12.0,   6.0     ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		10.0,     0, 15.0,   7.5,    12.0,   6.0     ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		3.0,      0, 4.5,    2.25,   3.5999999999999996,1.7999999999999998],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		3.0,      0, 4.5,    2.25,   3.5999999999999996,1.7999999999999998],
  		[2, 0, 0, 3, 0,		10.0,     0, 15.0,   7.5,    12.0,   6.0     ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		100.0,    0, 150.0,  75.0,   120.0,  60.0    ],
  		[2, 0, 0, 3, 0,		32.0,     0, 48.0,   24.0,   38.4,   19.2    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		25.0,     0, 37.5,   18.75,  30.0,   15.0    ],
  		[2, 0, 0, 3, 0,		100.0,    0, 150.0,  75.0,   120.0,  60.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		25.0,     0, 37.5,   18.75,  30.0,   15.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		8.0,      0, 12.0,   6.0,    9.6,    4.8     ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		3.0,      0, 4.5,    2.25,   3.5999999999999996,1.7999999999999998],
  		[2, 0, 0, 3, 0,		100.0,    0, 150.0,  75.0,   120.0,  60.0    ],
  		[2, 0, 0, 3, 0,		3.0,      0, 4.5,    2.25,   3.5999999999999996,1.7999999999999998],
  		[2, 0, 0, 3, 0,		3.0,      0, 4.5,    2.25,   3.5999999999999996,1.7999999999999998],
  		[2, 0, 0, 3, 0,		10.0,     0, 15.0,   7.5,    12.0,   6.0     ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		10.0,     0, 15.0,   7.5,    12.0,   6.0     ],
  		[2, 0, 0, 3, 0,		6.0,      0, 9.0,    4.5,    7.199999999999999,3.5999999999999996],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		25.0,     0, 37.5,   18.75,  30.0,   15.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
  		[2, 0, 0, 3, 0,		50.0,     0, 75.0,   37.5,   60.0,   30.0    ],
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  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  		[2, 0, 0, 3, 0,		0.0,      0, 0.75,   0.375,  0.6,    0.3     ],
  	])
  	return ppc