How do these results sets look (assuming an unlimited number of nozzles per machine)?

  1. With the capacity of all the machines set to 200,000, the non-zero flows can be fitted onto 13 machines:
    C:\test>1179307 -MACHMAX=200000
{
  E001 => { " total" => 199989.2556, C001 => [22790.166, 2064.174, 105
+3.15], C004 => [3023.16, 1511.58], C008 => [82.4112], C015 => [24504.
+1632, 14837.91, 13323.6396, 12250.6656, 6234.5772, 5720.64, 5255.838,
+ 4380.3252, 3468.138, 2386.0308, 1716.192, 1501.668, 1436.2488, 1430.
+16, 791.19, 703.4688], C030 => [12659.04, 3164.76, 2109.84, 527.46], 
+C054 => [5200.8264, 3073.2156], C056 => [6869.724, 5901.0384, 4301.80
+8, 2578.6068, 2186.8704, 548.7, 383.5944], C064 => [19976.22, 42.0552
+] },
  E002 => { " total" => 199972.6884, C001 => [1026.6, 1026.6, 513.3, 4
+99.5648], C013 => [15214.92, 13190.04, 7315.1268, 7042.3344, 6690.6, 
+5977.29, 3874.53, 2442.6], C019 => [23934.8604, 4471.02, 2891.2596], 
+C025 => [75.048], C027 => [29056.32, 26777.6928, 25997.76, 21892.3512
+], C059 => [62.8704] },
  E003 => { " total" => 199981.0428, C009 => [58.1976], C012 => [7965.
+8496, 575.25], C025 => [73.9152], C027 => [22482.54, 21151.5, 21090.6
+828, 19602.75, 15682.2, 9409.32, 4230.3, 4062.15, 3101.04], C050 => [
+19529.6136, 5350.9932, 3023.16, 1996.56], C065 => [18787.488, 9060.13
+44, 5267.52, 3072.72, 1773.3984, 1755.84, 877.92] },
  E004 => { " total" => 199769.988, C012 => [14273.28, 12292.2252, 112
+28.88, 11145.5484, 11068.3056, 7258.9824, 6281.73, 6071.808, 5841.212
+4, 5819.3352, 5671.3632, 4463.232, 3735.762, 3452.3496, 3217.86, 2876
+.25, 2832, 2812.8132, 2265.6, 2195.3664, 1669.3932, 1087.488, 1029.71
+52, 1022.9184, 571.71, 566.4, 552.24, 536.31, 525.9732, 490.1484, 462
+.1824, 350.0352, 343.026], C036 => [14996.502, 6818.5356, 2777.13, 88
+3.23, 883.23], C044 => [6781.0824], C058 => [5970.8472], C062 => [108
+6.78], C068 => [8094.21, 5085.0684, 3320.52, 2884.1088, 2846.16, 1904
+.52, 952.26, 474.36] },
  E005 => { " total" => 199764.2532, C008 => [1133.154, 803.5092], C01
+6 => [36411.8736, 34161.9912, 22882.56, 13821.93, 9457.11, 7274.7, 63
+75.3984, 5819.76, 5810.91, 4290.48, 4261.8768, 3546.7968], C039 => [5
+71.71, 571.71], C058 => [10519.11, 2003.64], C062 => [13215.2448, 967
+2.342, 543.39, 412.9764], C071 => [4651.56, 1550.52] },
  E006 => { " total" => 199890.2772, C008 => [7624.8768, 4450.2048], C
+024 => [4854.3312, 994.74], C026 => [11102.9268, 10570.1568, 7970.239
+2, 6393.24, 5860.47, 5860.47, 3729.39, 3729.39, 2755.3944, 2663.85, 2
+173.7016, 2131.08], C033 => [16761.7584, 4028.3784], C041 => [10822.2
+048], C042 => [18219.2472, 1537.9884], C047 => [11044.8], C063 => [88
+0.752], C071 => [17055.72, 10316.1264, 9819.96, 4134.72, 4134.72, 413
+4.72, 4134.72] },
  E007 => { " total" => 199951.59, C002 => [27401.2992, 12540.2376, 90
+97.8, 7975.9032, 6749.4348, 6743.7, 4600.584, 909.78], C018 => [23211
+.426, 3075.198, 1053.15], C021 => [15559.1496], C047 => [21905.52, 56
+14.44, 4141.8, 3552.744, 2282.592], C055 => [17815.05, 9458.172, 1619
+.55, 1619.55, 539.85], C063 => [10392.8736, 1585.3536, 506.4324] },
  E008 => { " total" => 199818.2736, C002 => [3992.2704, 3788.4372, 17
+51.1672, 1348.74, 1297.41, 1078.992, 472.1652, 279.66], C005 => [9588
+.444, 826.59], C025 => [9081.516, 3432.03], C037 => [6626.88, 3186], 
+C045 => [13927.4928, 13855.7016, 861.4944, 861.4944, 717.912], C048 =
+> [7948.4328, 7151.3664, 6549.8496, 5920.4376], C059 => [16037.0496, 
+11652.972, 8889.8604, 6949.02, 6096.7296, 4212.1752, 3185.8584, 2208.
+96, 1104.48, 1104.48, 847.6884, 506.22], C061 => [6980.3136, 5961.147
+6, 3811.5888, 1546.272, 1457.9136], C066 => [6855.6348, 5865.426] },
  E009 => { " total" => 199760.2176, C011 => [13817.8944], C022 => [14
+198.232, 9324.7848, 3760.6128, 959.34], C025 => [18737.5032, 14218.41
+, 7354.35, 6822.8544, 6595.02, 6373.77, 4902.9, 4652.976, 4106.1168, 
+3765.852, 3714.876, 3392.8776, 3165.0432, 2451.45, 2288.964, 1790.532
+, 1731.06, 1731.06, 923.94, 879.336, 573.48, 490.29, 490.29, 461.97],
+ C043 => [23977.128, 15787.5504, 10575.5376, 1462.02, 555.5676], C057
+ => [923.94], C069 => [1383.1488, 476.13, 476.13, 467.28] },
  E010 => { " total" => 199779.7584, C011 => [21495.3048, 13446.6192, 
+12807.0828, 12648.2076, 9052.9128, 7440.7968, 7376.652, 6991.7832, 64
+35.72, 6392.3904, 5901.3216, 5302.6368, 4276.32, 4276.32, 4233.5568, 
+3207.24, 2681.55, 2629.9368, 2523.0288, 2469.0792, 2145.24, 2123.7876
+, 1692.2616, 1603.62, 1603.62, 1566.0252, 1143.42, 1074.8148, 1072.62
+, 1026.3168, 571.71, 571.71, 536.31, 536.31, 536.31, 534.54, 534.54],
+ C028 => [8562.4812, 6603.87, 4862.8272, 4571.91, 4571.91, 3047.94, 2
+519.6304, 2418.7404, 2158.8336] },
  E011 => { " total" => 199788.396, C003 => [31858.23, 4610.0004, 2331
+.09, 1522.9788, 1505.4912], C009 => [759.33], C010 => [10531.146, 444
+9.78], C017 => [14695.0356, 7298.2056, 2465.61, 1972.488], C020 => [2
+884.392], C028 => [1894.1832, 1599.7968, 1523.97, 1523.97, 1199.8476,
+ 1015.98, 1015.98, 507.99, 483.21, 457.0848], C029 => [6377.0976], C0
+38 => [9604.728, 1143.42], C046 => [19876.1088, 9586.8864, 2633.76], 
+C060 => [8658.2028, 6731.8056, 529.23, 254.0304], C067 => [1869.12, 4
+67.28], C070 => [19788.6, 11496.5748, 1633.71, 576.0288, 456.0228] },
  E012 => { " total" => 198072.3456, C009 => [10448.3808, 10068.1848, 
+8391.924, 6775.7016, 3822.9876, 3735.9036, 2851.6824, 2035.0044, 1522
+.9788, 1305.4104, 727.47, 727.47, 698.3712], C014 => [39789.6, 12931.
+62, 4476.33, 3978.96, 2984.22], C020 => [17930.808, 15611.4, 9302.836
+8, 1331.748], C023 => [24447.6648, 4371.9], C032 => [7803.7884] },
  E013 => { " total" => 60297.2448, C023 => [23573.2848, 14864.46, 139
+90.08, 7869.42] },
}

    [download]
  2. And this with the machine capacity set to 100,000, 25 machines:
    C:\test>1179307 -MACHMAX=100000
{
  E001 => { " total" => 99982.9104, C015 => [24504.1632, 14837.91, 133
+23.6396, 12250.6656, 6234.5772, 5720.64, 5255.838, 4380.3252, 3468.13
+8, 2386.0308, 1716.192, 1501.668, 1436.2488, 1430.16, 791.19, 703.468
+8], C064 => [42.0552] },
  E002 => { " total" => 99986.8044, C001 => [22790.166, 2064.174, 1053
+.15], C004 => [3023.16, 1511.58], C030 => [12659.04, 3164.76, 2109.84
+, 527.46], C054 => [5200.8264, 3073.2156], C056 => [6869.724, 5901.03
+84, 4301.808, 2578.6068, 2186.8704, 548.7, 383.5944], C059 => [62.870
+4], C064 => [19976.22] },
  E003 => { " total" => 99944.3952, C001 => [1026.6, 1026.6, 513.3, 49
+9.5648], C008 => [82.4112], C012 => [575.25], C013 => [15214.92, 1319
+0.04, 7315.1268, 7042.3344, 6690.6, 5977.29, 3874.53, 2442.6], C019 =
+> [23934.8604, 4471.02, 2891.2596], C025 => [75.048], C027 => [3101.0
+4] },
  E004 => { " total" => 99972.7152, C012 => [462.1824], C027 => [29056
+.32, 26777.6928, 25997.76, 15682.2], C050 => [1996.56] },
  E005 => { " total" => 99985.6716, C009 => [58.1976], C027 => [22482.
+54, 21892.3512, 21151.5, 21090.6828, 9409.32], C050 => [3023.16], C06
+5 => [877.92] },
  E006 => { " total" => 99825.8052, C012 => [7258.9824], C025 => [73.9
+152], C027 => [19602.75, 4230.3, 4062.15], C050 => [19529.6136, 5350.
+9932], C065 => [18787.488, 9060.1344, 5267.52, 3072.72, 1773.3984, 17
+55.84] },
  E007 => { " total" => 99925.1376, C012 => [14273.28, 12292.2252, 112
+28.88, 11145.5484, 11068.3056, 7965.8496, 6281.73, 6071.808, 5841.212
+4, 5819.3352, 5671.3632, 2265.6] },
  E008 => { " total" => 99959.1216, C012 => [4463.232, 3735.762, 3452.
+3496, 3217.86, 2876.25, 2832, 2812.8132, 2195.3664, 1669.3932, 1087.4
+88, 1029.7152, 1022.9184, 571.71, 566.4, 552.24, 536.31, 525.9732, 49
+0.1484, 350.0352, 343.026], C036 => [14996.502, 6818.5356, 2777.13, 8
+83.23, 883.23], C044 => [6781.0824], C058 => [5970.8472], C062 => [54
+3.39, 412.9764], C068 => [8094.21, 5085.0684, 3320.52, 2884.1088, 284
+6.16, 1904.52, 952.26, 474.36] },
  E009 => { " total" => 99910.0572, C016 => [36411.8736, 22882.56, 354
+6.7968], C039 => [571.71], C058 => [10519.11, 2003.64], C062 => [1321
+5.2448, 9672.342, 1086.78] },
  E010 => { " total" => 99984.6096, C008 => [1133.154, 803.5092], C016
+ => [34161.9912, 13821.93, 9457.11, 7274.7, 6375.3984, 5819.76, 5810.
+91, 4290.48, 4261.8768], C039 => [571.71], C071 => [4651.56, 1550.52]
+ },
  E011 => { " total" => 99964.5732, C002 => [279.66], C008 => [7624.87
+68, 4450.2048], C026 => [11102.9268, 10570.1568, 7970.2392, 3729.39],
+ C063 => [506.4324], C071 => [17055.72, 10316.1264, 9819.96, 4134.72,
+ 4134.72, 4134.72, 4134.72] },
  E012 => { " total" => 99831.0444, C024 => [4854.3312, 994.74], C026 
+=> [6393.24, 5860.47, 5860.47, 3729.39, 2755.3944, 2663.85, 2173.7016
+, 2131.08], C033 => [16761.7584, 4028.3784], C041 => [10822.2048], C0
+42 => [18219.2472, 1537.9884], C047 => [11044.8] },
  E013 => { " total" => 99864.108, C002 => [1751.1672, 1078.992], C018
+ => [23211.426, 3075.198, 1053.15], C021 => [15559.1496], C047 => [21
+905.52, 5614.44, 4141.8, 3552.744, 2282.592], C055 => [1619.55, 1619.
+55, 539.85], C063 => [10392.8736, 1585.3536, 880.752] },
  E014 => { " total" => 99856.5324, C002 => [27401.2992, 12540.2376, 9
+097.8, 7975.9032, 6749.4348, 6743.7, 1348.74, 472.1652], C055 => [178
+15.05, 9458.172], C060 => [254.0304] },
  E015 => { " total" => 99690.7896, C002 => [4600.584, 3992.2704, 3788
+.4372, 1297.41, 909.78], C005 => [826.59], C045 => [861.4944, 861.494
+4], C059 => [16037.0496, 11652.972, 8889.8604, 6949.02, 6096.7296, 42
+12.1752, 3185.8584, 2208.96, 1104.48, 1104.48, 847.6884, 506.22], C06
+1 => [6980.3136, 5961.1476, 3811.5888, 1546.272, 1457.9136] },
  E016 => { " total" => 99726.5436, C005 => [9588.444], C025 => [9081.
+516, 2451.45], C037 => [6626.88, 3186], C045 => [13927.4928, 13855.70
+16, 717.912], C048 => [7948.4328, 7151.3664, 6549.8496, 5920.4376], C
+066 => [6855.6348, 5865.426] },
  E017 => { " total" => 99700.1352, C025 => [18737.5032, 14218.41, 735
+4.35, 6822.8544, 6595.02, 6373.77, 4902.9, 4652.976, 4106.1168, 3765.
+852, 3714.876, 3432.03, 3392.8776, 3165.0432, 2288.964, 1790.532, 173
+1.06, 1731.06, 923.94] },
  E018 => { " total" => 99870.9756, C011 => [12648.2076], C022 => [141
+98.232, 9324.7848, 3760.6128, 959.34], C025 => [879.336, 573.48, 490.
+29, 490.29, 461.97], C043 => [23977.128, 15787.5504, 10575.5376, 1462
+.02, 555.5676], C057 => [923.94], C069 => [1383.1488, 476.13, 476.13,
+ 467.28] },
  E019 => { " total" => 99939.5808, C011 => [21495.3048, 13817.8944, 1
+3446.6192, 12807.0828, 9052.9128, 7440.7968, 7376.652, 6991.7832, 643
+5.72, 1074.8148] },
  E020 => { " total" => 99867.0108, C011 => [6392.3904, 5901.3216, 530
+2.6368, 4276.32, 4276.32, 4233.5568, 3207.24, 2681.55, 2629.9368, 252
+3.0288, 2469.0792, 2145.24, 2123.7876, 1692.2616, 1603.62, 1603.62, 1
+566.0252, 1143.42, 1072.62, 1026.3168, 571.71, 571.71, 536.31, 536.31
+, 536.31, 534.54, 534.54], C028 => [8562.4812, 6603.87, 4862.8272, 45
+71.91, 4571.91, 3047.94, 2519.6304, 2418.7404, 1015.98] },
  E021 => { " total" => 99758.616, C003 => [2331.09], C009 => [759.33]
+, C028 => [2158.8336, 1894.1832, 1599.7968, 1523.97, 1523.97, 1199.84
+76, 1015.98, 507.99, 483.21, 457.0848], C046 => [19876.1088, 9586.886
+4, 2633.76], C060 => [8658.2028, 6731.8056, 529.23], C067 => [1869.12
+, 467.28], C070 => [19788.6, 11496.5748, 1633.71, 576.0288, 456.0228]
+ },
  E022 => { " total" => 99365.9592, C003 => [31858.23, 4610.0004, 1522
+.9788, 1505.4912], C010 => [10531.146, 4449.78], C017 => [14695.0356,
+ 7298.2056, 2465.61, 1972.488], C020 => [1331.748], C029 => [6377.097
+6], C038 => [9604.728, 1143.42] },
  E023 => { " total" => 98840.9064, C009 => [10448.3808, 10068.1848, 8
+391.924, 6775.7016, 3822.9876, 3735.9036, 2851.6824, 2035.0044, 1522.
+9788, 1305.4104, 727.47, 727.47, 698.3712], C020 => [17930.808, 15611
+.4, 9302.8368, 2884.392] },
  E024 => { " total" => 96412.1832, C014 => [39789.6, 12931.62, 4476.3
+3, 3978.96, 2984.22], C023 => [24447.6648], C032 => [7803.7884] },
  E025 => { " total" => 64669.1448, C023 => [23573.2848, 14864.46, 139
+90.08, 7869.42, 4371.9] },
}

    [download]
With the machine set to 40,000, the minimum required to supply the largest specified flow of 39789.6, it requires 62:
C:\test>1179307 -MACHMAX=40000
{
  E001 => { " total" => 39995.6988, C015 => [24504.1632, 14837.91], C0
+56 => [548.7], C059 => [62.8704], C064 => [42.0552] },
  E002 => { " total" => 39997.9644, C008 => [82.4112], C015 => [13323.
+6396, 12250.6656, 6234.5772, 5720.64, 2386.0308] },
  E003 => { " total" => 39983.8044, C004 => [3023.16, 1511.58], C009 =
+> [58.1976], C015 => [5255.838, 4380.3252, 3468.138, 1716.192, 1501.6
+68, 1436.2488, 1430.16, 791.19, 703.4688], C025 => [75.048, 73.9152],
+ C054 => [5200.8264, 3073.2156], C056 => [5901.0384, 383.5944] }
  E004 => { " total" => 39955.4844, C012 => [350.0352], C030 => [3164.
+76, 527.46], C056 => [6869.724, 4301.808, 2578.6068, 2186.8704], C064
+ => [19976.22] },
  E005 => { " total" => 39966.246, C001 => [22790.166, 2064.174], C012
+ => [343.026], C030 => [12659.04, 2109.84] },
  E006 => { " total" => 39839.3016, C001 => [1053.15, 1026.6, 1026.6, 
+513.3, 499.5648], C013 => [15214.92, 13190.04, 7315.1268] },
  E007 => { " total" => 39896.154, C002 => [279.66], C013 => [7042.334
+4, 6690.6, 5977.29, 3874.53, 2442.6], C019 => [4471.02, 2891.2596], C
+027 => [4230.3], C050 => [1996.56] },
  E008 => { " total" => 39871.0908, C019 => [23934.8604], C027 => [156
+82.2], C060 => [254.0304] },
  E009 => { " total" => 39918.81, C012 => [575.25], C027 => [29056.32,
+ 9409.32], C065 => [877.92] },
  E010 => { " total" => 39863.586, C012 => [571.71], C027 => [26777.69
+28, 4062.15, 3101.04], C050 => [5350.9932] },
  E011 => { " total" => 39854.4528, C027 => [25997.76], C050 => [3023.
+16], C065 => [9060.1344, 1773.3984] },
  E012 => { " total" => 39837.6024, C012 => [7258.9824], C027 => [2248
+2.54], C065 => [5267.52, 3072.72, 1755.84] },
  E013 => { " total" => 39901.3932, C012 => [14273.28, 3735.762], C027
+ => [21892.3512] },
  E014 => { " total" => 39938.988, C027 => [21151.5], C065 => [18787.4
+88] },
  E015 => { " total" => 39664.638, C012 => [12292.2252, 6281.73], C027
+ => [21090.6828] },
  E016 => { " total" => 39698.7636, C012 => [566.4], C027 => [19602.75
+], C050 => [19529.6136] },
  E017 => { " total" => 39976.7244, C012 => [11228.88, 11145.5484, 110
+68.3056, 6071.808, 462.1824] },
  E018 => { " total" => 39859.692, C012 => [7965.8496, 5841.2124, 5819
+.3352, 5671.3632, 4463.232, 3452.3496, 3217.86, 2876.25, 552.24] },
  E019 => { " total" => 39602.9004, C012 => [2832, 2812.8132, 2265.6, 
+2195.3664, 1669.3932, 1087.488, 1029.7152, 1022.9184, 536.31, 525.973
+2, 490.1484], C036 => [14996.502, 883.23], C044 => [6781.0824], C068 
+=> [474.36] },
  E020 => { " total" => 39612.5292, C036 => [6818.5356, 2777.13, 883.2
+3], C058 => [2003.64], C062 => [1086.78, 543.39, 412.9764], C068 => [
+8094.21, 5085.0684, 3320.52, 2884.1088, 2846.16, 1904.52, 952.26] },
  E021 => { " total" => 39949.254, C039 => [571.71], C058 => [10519.11
+, 5970.8472], C062 => [13215.2448, 9672.342] },
  E022 => { " total" => 39958.6704, C016 => [36411.8736, 3546.7968] },
  E023 => { " total" => 39981.7512, C016 => [34161.9912, 5819.76] },
  E024 => { " total" => 39959.874, C008 => [1133.154], C016 => [22882.
+56, 13821.93], C039 => [571.71], C071 => [1550.52] },
  E025 => { " total" => 39775.1568, C008 => [803.5092], C016 => [9457.
+11, 7274.7, 6375.3984, 5810.91, 4290.48, 4261.8768], C024 => [994.74]
+, C063 => [506.4324] },
  E026 => { " total" => 39947.2008, C026 => [2755.3944], C071 => [1705
+5.72, 10316.1264, 9819.96] },
  E027 => { " total" => 39658.7616, C008 => [7624.8768, 4450.2048], C0
+26 => [6393.24], C071 => [4651.56, 4134.72, 4134.72, 4134.72, 4134.72
+] },
  E028 => { " total" => 39773.0328, C026 => [11102.9268, 10570.1568, 7
+970.2392, 5860.47, 3729.39], C055 => [539.85] },
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  E034 => { " total" => 39943.3776, C002 => [12540.2376, 9097.8], C025
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  E035 => { " total" => 39977.7864, C002 => [27401.2992, 7975.9032, 46
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  E036 => { " total" => 39982.0344, C002 => [6743.7, 3992.2704, 3788.4
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  E041 => { " total" => 39778.7676, C025 => [18737.5032, 14218.41, 682
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  E042 => { " total" => 39954.2808, C025 => [9081.516, 7354.35, 6595.0
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  E046 => { " total" => 39589.5192, C011 => [21495.3048, 13817.8944, 4
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  E047 => { " total" => 39976.7244, C011 => [13446.6192, 12807.0828, 1
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  E049 => { " total" => 39731.898, C011 => [6392.3904, 5901.3216, 4276
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  E052 => { " total" => 39718.446, C003 => [4610.0004, 2331.09, 1522.9
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  E055 => { " total" => 39996.4776, C009 => [727.47], C010 => [10531.1
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  E057 => { " total" => 39950.9532, C009 => [10448.3808, 10068.1848, 3
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  E058 => { " total" => 37418.0832, C009 => [8391.924, 6775.7016, 3735
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  E059 => { " total" => 39789.6, C014 => [39789.6] },
  E060 => { " total" => 38479.6584, C014 => [4476.33, 3978.96, 2984.22
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  E061 => { " total" => 38437.7448, C023 => [24447.6648, 13990.08] },
  E062 => { " total" => 31442.7048, C023 => [23573.2848, 7869.42] },
}

[download]

Each run requires a couple of seconds and would take no more if you have a different capacity for each machine; but you would have to supply them.

With the rise and rise of 'Social' network sites: 'Computers are making people easier to use everyday'
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority". The enemy of (IT) success is complexity.
In the absence of evidence, opinion is indistinguishable from prejudice.

In reply to Re^6: Tricky chemicals optimization problem by BrowserUk
in thread Tricky chemicals optimization problem by Anonymous Monk

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