How to view the output of each layer in convolutional neural network using matlab?

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I have trained convolutional neural network.On testing I don't know how to see the output of each layer.Please send me the matlab code for convolutional neural network.
Thanks in advance.

回答(1 个)

Abhijit Bhattacharjee
This is straightforward to do with the activations command in Deep Learning Toolbox. You will need a CNN and a test input, like an image. Here is an example:
net = alexnet;
img = imresize(imread('peppers.png'), [227 227]);
% Get the output of the network at the 3rd layer
act = activations(net, img, 3)
act = 55×55×96 single array
act(:,:,1) = 0.9075 3.5420 4.7622 4.0016 0 5.4924 1.1722 0 6.7908 0 3.9394 3.5432 0 3.4582 3.3731 5.9543 0.9621 3.7243 0.1708 2.7232 1.1763 3.1529 3.1149 0 10.8588 0 3.9406 0 3.3877 3.2677 3.1002 3.5540 1.3434 2.5761 2.9003 0 4.3486 3.0516 1.0417 5.3161 4.1827 0 6.6007 0 5.0309 6.9531 0 0 4.3656 2.0415 3.4613 0 7.6093 0 2.3852 0 6.9987 0 4.3168 0 8.8538 1.6082 0 5.1157 2.9201 1.7256 5.2101 0 0.5963 1.3432 8.1967 1.6149 1.3973 3.8866 2.4379 3.3566 4.8207 0 0 7.9242 0 3.5992 3.7887 0.7101 6.9042 0.9014 2.7416 3.0192 0.9596 4.8498 0.8679 1.1524 5.8491 0 4.7288 6.4601 0 8.9632 0.2052 6.7249 0 8.2552 0 4.2441 4.5152 0 3.2733 5.7250 0.2217 0.4727 0 10.5776 0 2.1218 0 9.9049 3.3614 0 0 6.2172 0 4.8511 2.9895 1.2255 0 2.9996 2.1778 1.7177 3.8735 2.2440 1.4339 5.1250 3.7113 0 3.8274 3.9618 0 2.3595 1.8191 5.6626 2.5564 2.1849 1.9235 2.6455 2.1295 1.6682 3.5785 2.8624 0 11.7978 0 1.2107 9.5045 0 0 5.0127 2.9403 5.8844 0 6.5336 0 5.6544 5.2707 0 2.5504 0 5.6636 2.3436 1.9821 0 9.3428 2.2898 0 1.4074 4.4570 0 5.4819 2.9341 1.2297 4.2647 1.1495 5.5905 1.1360 0 4.7925 0.3184 1.2009 8.1750 0 2.9296 6.3950 0 2.8790 1.9680 3.4133 2.1557 1.9453 0 6.2740 2.2440 0.3919 6.1787 4.3686 0 16.1074 0 7.9602 4.7281 0 4.9400 1.9885 2.2717 3.2629 3.0103 2.1088 0 7.7254 3.4792 0 3.1889 4.6957 0 6.9073 1.4052 0 8.0428 0.4383 1.6362 3.4166 0.8117 0.8010 4.7683 2.2995 1.6760 1.6135 2.5867 5.0800 2.3241 1.4297 3.6887 0.4416 0.3793 5.2744 0 4.6285 2.5894 0 4.4922 1.9843 4.4023 0.6584 2.0039 0 5.1361 2.7022 0.0864 5.1583 5.6812 0 4.6535 2.9240 0 2.7624 3.4461 2.8888 2.6272 2.0162 0 6.1485 1.4670 0 12.5354 0 1.5173 3.9396 5.8280 0 4.9415 1.6514 0.7469 6.0982 0 5.0098 1.9190 0 6.6678 0 3.6745 4.6206 0 2.5301 3.0422 1.7622 2.8451 2.8336 2.8555 0.9331 2.4714 0 4.7084 3.1074 0.6544 4.1694 0 6.8912 0 3.4572 0.3070 1.4818 2.3423 1.8327 5.1486 1.2658 4.1697 2.3631 3.8901 0 4.0357 2.0298 2.7094 2.4516 4.1033 0.5699 0.7066 2.4114 0 12.0147 0.4584 0 3.0445 7.3569 0 3.1469 1.9264 3.5044 3.7859 0.6365 3.2448 3.2797 0 15.0542 0 0 2.6875 1.0889 2.1571 2.9736 1.4217 4.3768 0 4.5436 1.6873 3.0067 0 4.4427 3.0773 3.2950 0.6932 1.1479 6.4365 0 3.8140 0 3.9912 0 4.5439 4.8099 3.2712 0.3027 6.8238 0 9.1878 0.8604 3.8242 3.3959 3.7428 0.6247 2.3904 2.5611 2.4419 0 6.9000 5.5566 0 2.2326 7.3295 0.0060 2.9885 2.4420 2.3746 5.6033 1.6616 1.0994 3.2606 0 0 16.9815 0 5.2185 1.1470 0.4947 3.8750 0.4491 7.6353 0 2.1968 0.2168 4.3746 0 5.4730 1.0855 4.9944 0.0807 1.9032 6.7041 0 4.5959 0 4.6684 3.5049 0 4.1358 3.0955 5.1805 2.2400 0 0 39.8047 6.7020 2.5937 4.2707 3.2396 3.9900 2.5287 1.3178 0 5.4696 2.5850 1.3789 2.4348 0.2657 4.3417 4.3726 1.4571 1.4785 6.8153 0.2818 2.1309 2.9976 4.2826 0 9.9946 0.8271 3.1732 5.3432 1.4509 2.6231 0 5.5726 0 4.4006 1.9949 0.0613 0.3724 4.2873 0 5.2481 1.5959 2.9611 4.1918 2.1405 0 0.5636 4.2803 3.0223 0 2.5113 2.4529 8.2299 0 0 0 0 44.9738 0 6.5899 3.2273 3.2302 2.4591 2.3393 0 9.6165 0 4.5031 1.4230 0 4.3965 5.1669 0 5.3887 2.8695 0 6.6547 1.5306 4.3951 6.4470 0 1.4082 1.2436 3.2217 4.6869 1.3551 2.0735 1.4848 4.9453 2.0980 2.5381 1.3728 0 5.7862 1.7154 3.3514 0 5.7091 0.2724 5.4482 0.6562 0 5.1226 3.2773 2.0990 0 0 21.2059 13.0410 0 147.3734 0 80.9525 0 7.0082 3.8457 1.7683 1.6899 5.2669 0 9.6349 2.3711 5.0500 2.1423 0 2.9720 5.5800 0 7.2316 2.9044 0 1.1113 5.4412 0 12.5437 0 2.1680 6.1845 1.7392 3.3865 0 5.2374 0 11.3549 0 0 27.7198 10.5100 0 1.2344 5.0914 0 4.3651 0 0 17.2101 0 4.1575 4.1204 2.4848 0 0 17.1457 15.8183 0 256.1060 0 56.2466 5.9655 3.6138 2.3396 4.5950 2.3730 5.4275 0 5.6335 2.1811 0 1.9746 0 0.4295 7.1576 0 5.2015 1.0949 0 3.2469 4.3941 0 3.1687 2.4977 2.1901 4.1580 1.4353 3.0275 4.0404 2.3005 3.8836 0 0 0 18.6663 0 10.0815 2.1452 10.1856 17.8990 0 0 16.6329 20.8907 0 12.8438 4.9838 0 0 73.4474 0 3.3381 0 200.4257 0 38.1836 3.9891 4.2229 2.5175 3.9889 3.3135 5.0354 0 21.9864 0 0 0.8490 2.4966 2.2672 2.5918 3.9160 2.7652 0 7.9822 0 5.9535 4.9225 0 0.8435 5.6315 0.7198 0 0 7.1708 1.0719 7.1566 2.1239 0 87.6271 0 0 0 17.0228 0 27.7433 0 10.2533 10.2148 18.6815 0 20.7598 7.9985 0 0 100.0602 0 8.5149 0 53.4064 0 20.9740 10.8615 3.1727 0 3.5986 3.3750 0 0 33.5182 0 1.7514 3.1387 7.8714 1.6144 2.3109 2.6891 4.7708 0 15.4385 0 0.2534 1.9217 0 4.5641 0 27.0347 0 19.2814 2.2357 3.6895 2.3406 0.9291 0 57.2071 0 0 0 90.1515 0 14.6011 0 61.3584 0 19.0127 0 34.9873 9.8948 0 9.0828 17.1895 0 8.0050 10.5610 0 0 34.3596 1.8482 7.7833 0.0750 5.6610 0 0 0 45.0745 4.0638 0 10.5070 9.4937 0 4.2027 1.8266 12.4238 0 13.2417 0 0 0.2778 0 0 0 18.6059 0 29.2746 0 2.9916 11.0469 0 85.0684 0 0 0.7101 0 100.7364 0 0 35.1792 0 2.8276 11.2611 0 39.3821 0 0 76.6741 0 0 11.5326 0 8.4000 0 58.3275 0 17.1684 7.9145 0 0 56.3879 0 36.7432 22.3473 0 13.9601 3.6748 2.7545 1.7466 2.1434 15.1339 0 0 0 1.3781 0 4.3176 9.0495 2.8979 12.2985 1.4406 3.2158 0 0 24.9614 0 109.2902 0 3.2563 0 0 29.9634 0 27.9681 0 9.2273 9.9469 5.1745 0 45.1033 0 5.2848 21.7816 18.9274 0 26.9265 0 19.9685 0 77.8056 0 34.5491 4.5860 0 21.4125 38.3534 0 52.5322 0 0 4.1897 0 4.5003 0.6004 2.8778 8.8420 0.3708 0 15.6778 0 0 0 10.0352 0 13.8581 10.7233 0 7.3884 0 22.9624 0 43.6729 3.7517 8.2896 0 0 0 0.8854 4.5201 0 4.7390 13.4094 0 6.6234 21.6477 0 102.0156 0 56.9082 0 22.2544 4.5759 0 34.4425 58.5965 0 21.0051 4.6962 0 44.3304 14.4183 0 74.5988 13.9198 0 0 0.4305 1.3076 1.6350 2.8391 0 10.3921 0 51.6545 0 15.9972 1.8087 0 17.2891 16.3372 0 0 28.9867 0 0 20.1505 0 22.7865 43.9545 0 0 0 40.6590 0 0 3.4659 8.6594 0.2286 0 22.7415 0 118.3522 0 0 31.5396 0 7.2518 1.8282 26.7461 40.7905 0 2.2076 0 17.2443 0 0 0 47.5325 18.9726 0 0 4.6289 2.1079 0.1498 9.7081 0 5.5258 0 28.4053 0 0.7010 0 0 40.7458 15.9575 4.1997 0 34.8770 0 12.5975 14.3313 0 52.4265 68.8147 0 0 0 54.5471 0 0 2.7495 8.4305 0 0 11.5505 0 53.3351 4.1479 0 45.8769 0 0 20.6689 0 0 35.1283 4.4253 0 8.8944 0 26.5510 30.2519 6.1602 5.2513 0 0 4.0707 2.6470 0.4371 12.3656 0 0 0 2.1417 0 3.7397 0 9.3742 34.5758 4.1559 17.8800 18.1793 22.7116 0 13.8379 18.4704 0 135.4505 30.1798 0 0 53.5781 65.1152 0 9.8538 0 6.3176 0 0 10.6436 3.8626 21.6207 0 43.0419 0 5.2825 13.8804 0 89.2487 0 0 145.3720 0 0 0 6.1592 0 8.5536 1.0195 0 0 5.4931 0 2.1563 4.7648 5.1089 0 0 0 0.2943 10.7228 0 22.7930 0 45.4493 24.0742 0 10.2498 0 5.7331 17.6252 0 119.4136 19.4581 0 0 30.4675 129.3694 0 27.2668 0 7.2497 0 11.1863 0 2.7746 3.3793 12.8543 5.7013 2.9919 0.8002 19.5012 0 273.1022 0 0 99.3339 0 0 0 4.4564 0 0 0.6876 43.8385 0 5.9168 0 2.6281 0 8.4717 0 3.8171 0 1.3772 15.2055 0 14.6354 0 83.2442 27.3972 0 6.4548 0 0 0 15.2054 58.3486 19.2537 0 0 0 129.5397 0 0 0 10.8605 0 25.9355 0 9.4295 4.8346 7.8054 2.6108 0 6.7298 0 28.5958 173.9860 0 111.5487 0 0 0 0 0 0 0 8.5896 20.2509 0 3.6509 0.3653 7.3740 0 0 1.8113 20.6359 0 3.4617 7.4951 0 0 66.3286 44.6979 19.8884 0 10.0585 0 0 0 58.5039 25.7179 32.9534 0 0 0 48.2853 0 0 34.2819 0 8.3531 8.8325 0 3.9642 0 0 0.5648 27.2531 24.3238 0 152.6315 36.8861 0 44.6921 0 1.5881 0 0 0 0 0 9.1626 0 0 0.6260 0 13.3021 0 0 0 21.3174 0 9.8900 0 0 12.2143 72.3249 7.7252 6.0643 0 3.2368 0 0 0 55.2150 20.1293 22.3607 0 0 14.8052 8.6506 0 0 52.4301 0 0 30.1431 0 0 32.1214 3.8157 10.3228 4.8167 0 13.2118 62.0309 24.5439 0 0 42.3237 2.4080 0.9455 0 0 0 0 4.0488 0 36.1506 0 0 8.4734 1.7571 6.9333 0 8.0451 0 9.1723 0 28.4738 56.9414 13.7431 4.5428 0 0 0 7.8640 10.1926 6.4945 11.8651 0 0 0 39.3791 24.8113 0 0 0 0 1.9346 0 21.0423 0 30.2477 30.8786 13.1683 25.8717 20.4312 0 0 9.3768 0.3057 0 0 45.7179 0 0 0 0.1348 0 0 0.4755 0 64.0706 0 0 2.3585 0 9.4490 19.6145 0 6.5176 0 5.5422 57.2768 25.0777 0 3.0683 0 0 0 117.2573 0 0 0 0 0 0 64.9763 0 0 0 0 0 0 1.1087 5.3018 0 136.9318 26.7525 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 69.3446 2.4094 1.5547 0 0 32.0982 9.7223 0 0 17.3498 47.6480 7.4418 0 0 0 0 0 0 103.9541 0 2.4131 0 0 0 63.8956 0 0 0 10.1031 0 0 0 0 20.9872 0 72.5414 3.3535 0 5.0363 0 0 5.3348 0 0 0 0 0 0 0 0 0 0 0 0 0 67.2799 0.2317 7.8253 0 91.5537 23.1325 0 0 0 40.1333 0 0 4.5152 0 3.5016 14.3546 0 0 49.7860 0 19.8850 0 0 30.0335 0 0 0 0 16.6695 0 0.1704 0 0.0192 46.6258 0 37.2547 0 0 45.2566 0 0 2.9092 0 0 0 0 0 0 0 0 0 0 0 0 0 59.6716 0 0 0 129.7369 0 0 0 27.4344 0 0 0 6.7130 0 4.8996 0 64.6585 0 2.6834 9.1848 16.6606 14.6898 0 151.7188 0 0 0 0 6.3582 0 0 0.3513 0.9463 72.7306 0 30.8493 0 0 97.6546 0 0 0.8059 0 0 0 0 0 0 0 0 0 0 0 0 4.1255 28.4399 0 0 204.8274 0 0 0 5.7462 19.0305 0 0 37.2444 0 0 47.6838 0 97.3583 0 0 18.7168 77.0728 0 0 93.4235 0 0 0 1.8118 0 0 0 1.4647 3.3401 64.7264 0 40.8263 0 0 135.9355 4.2978 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10.6507 0 0 0 113.5000 0 0 0 14.0439 19.3820 0 0 26.7169 0 7.3002 49.6475 0 52.0890 0.5928 0 1.4887 76.1726 0 0 25.8135 0 5.3083 0 14.8830 0 0.0045 1.6417 1.8745 11.7306 29.2627 0 44.5994 0 0 174.9812 1.6321 0 0 0 0 0 0 0 0 0.1172 0 0 0 0 0 26.1036 0 0 202.8173 0 0 0 0 36.0462 12.3158 0 30.3555 27.9378 0 0 0 0 0 36.7523 0 45.0297 28.3146 0 61.3223 0 0 19.4647 0 38.1300 7.7822 0 0 0 26.3582 0 0 0 0 0 182.4590 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 37.5966 0 0 215.5094 0 0 0 0 53.3902 0 0 66.0543 30.6978 17.7291 0 0 0 0 0 0 45.6351 0 0 96.5500 0 0 32.2104 0 53.4812 19.8101 0 0 29.6961 13.9026 0 26.3170 0 0 0 113.2235 19.3127 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.2621 0 0.4371 63.0022 0 0 12.4624 0 0 0 19.9078 96.3695 0 0 0 0 2.3630 24.8124 0 26.5546 0 0 0 95.3356 0 0 21.3067 0 54.1091 0 0 0 55.5814 0 0 45.9004 4.7037 0 0 51.0945 52.3692 0 0 0 3.7223 0 0 0 0 0 0 5.9647 0 0 0 0 0 182.0963 0 0 24.4965 0 0 0 0 70.3618 48.1680 0 0 0 0 0 17.4058 0 18.2343 0 0 0 55.9038 0 0 0 0 57.5337 0 6.2964 45.8079 8.9972 0 13.3679 52.9017 12.7580 0 0 110.3102 28.1694 0 0 0 0 0 0 4.2768 0 0 0 0 7.0761 23.7263 6.0522 7.5335 0 239.0682 0 26.3157 0 0 0 0 0 88.2133 9.9679 0 0 0 0 0 0 0 0 21.9059 10.7949 0 15.3304 0 0 0 0 60.3565 0 0 103.2414 0 12.5047 23.4400 15.6904 46.8387 0 0 149.6740 0 0 0 0 0 0 0 0 0 0 61.9418 0 0 51.4615 14.3986 13.6795 0 210.9743 0 25.3962 0 0 9.5776 9.9150 0 94.5980 3.2878 0 0 0 0 0 0 0 0 10.8649 14.4255 12.9734 12.4274 0 11.2774 0 0 31.9469 0 0 59.5278 0 56.9633 5.4878 17.6646 75.5562 0 108.2874 40.0762 0 0 0 0 0 0 0 0 0 0 19.3844 0 0 23.7598 46.7137 32.7843 0 153.8293 4.5573 0 0 13.5818 9.2554 0 0 81.0552 14.0635 0 0 0 0 0 0 0 0 10.3124 0 28.0890 15.2825 10.7449 12.3347 0 0 19.9920 0 0 60.1390 0 75.0220 0 117.6455 58.1393 0 213.6450 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18.4105 39.0603 0 135.2170 11.0620 0 0 2.5356 4.8556 0 0 18.7657 37.6710 0 0 2.5479 0 0 1.4229 20.0242 0 39.3250 0 0 5.7216 15.4986 0 2.5276 0 0 0 0 88.9735 0 60.4798 0 119.7989 5.3984 0 119.3038 1.1663 0 0 0 0 0 0.1679 0 0 0 0 0 0 0 0 0.1636 0 14.4015 163.9250 7.4135 2.1500 0 0 0 0 0 0 25.6217 12.0281 0 84.5404 0 0 0 27.8107 1.3122 3.6535 0 7.0974 0 0 0 0 4.6771 0 0 0 51.0940 0 24.7509 0 38.3103 0 110.7184 6.1812 6.5883 0 0 0 0 0 3.7889 0 0 0 0 0 0 0 0 19.7333 0 21.9972 99.2511 0 0 0 0 0 41.6980 0 0 17.9531 26.3410 0 138.5264 0 36.5695 0 0 114.2328 0 9.8573 3.8274 0 0 11.5120 0 0 0.7653 0 16.2977 22.2868 0 8.7678 0 18.7862 0 95.2689 0 0 0 1.9950 4.1639 0 0 1.6409 0 21.0993 0 0 0 0 0 0 21.4310 0 21.0551 0 0 2.6879 0 0 0 12.3859 10.2225 0 0 38.3526 0 117.3791 0 0 0 13.7361 48.6622 0 47.6278 0 0 0 4.8514 22.1385 7.7859 0 0 0 6.5991 0 10.0845 4.0754 7.4795 36.4685 40.7025 0 0 3.2498 0 0 0 0 0 44.3902 0 0 2.6287 0 0 0 1.9343 2.1137 0 78.4386 0 0 0.4610 0 0 0 1.3535 0 0 0 9.4455 0 36.2950 11.2137 0 0 57.4504 22.2622 0 29.1949 0 7.7047 4.7708 0.7832 0.4418 9.2078 0 8.3924 0.5390 11.9663 0 12.9599 3.6864 0 31.0932 34.0958 22.9970 12.3936 7.5290 3.5146 0 1.5934 0 0 81.7934 0 0 11.5970 0 0 0 0 0 0 81.1933 0 0 0 0 0 0 0 4.4995 0 0 0 0 10.9552 61.0514 0 25.8259 40.5940 6.7003 0 0 1.4094 13.2971 13.0036 5.8581 11.5394 11.2231 10.5000 13.2385 7.8397 15.1688 9.0513 5.6132 3.1910 0 9.7553 3.0412 16.8501 14.8973 5.4135 1.6106 0 0 0 0 29.4773 4.2989 0 7.5384 0 0 3.1504 0 0 0 54.3289 11.5871 0 0 0 0 0 0 0 0 0 1.2488 4.2840 0 63.7655 8.1842 1.1744 19.7145 0 0 0 1.6985 0 0 0 3.0066 2.2433 3.1919 1.4889 1.8014 4.4693 6.8581 14.8710 5.3910 10.0302 1.3629 1.6442 0 0 0 0 2.7830 1.5938 1.7088 8.6334 0.1961 30.1953 0 0 1.9030 0 12.1636 0 0 27.6837 0 19.2237 6.3314 0 0.5726 0 6.6822 0 0 0 0 38.0516 8.7489 0 0 22.2529 6.0538 0 0 17.3810 23.1676 0.6596 0 0 0 0.1693 2.3630 1.4664 0 0 2.1257 0 6.7375 0 1.6207 0 0 0 0 0 0 0 0 0.6429 1.8736 0 30.7128 11.2005 0 19.8522 6.4084 20.6679 0 0 36.2130 0 28.4130 15.5729 0 1.6633 0 7.6694 0 0.8328 0 0 23.7170 0 5.9535 0 3.7875 0 2.2005 9.7823 10.8549 7.6136 0.2381 0 0 0 0 0.3344 0 0 0 2.1103 0 0 0 0 0 2.3024 0 0 1.8676 0 0 0 0 0 0 0 4.2236 0 9.1520 10.8214 6.7723 0 4.5439 2.9657 0 41.9841 20.6994 0 0 0 0 0 0 0 0 52.0695 0 0.7710 0 5.3923 0.8210 0 12.9199 2.4923 3.3930 0.9763 0 2.3593 1.4697 0 3.0734 0 5.4935 0 0 17.6899 0 4.6512 0 0 1.0260 1.5919 0 2.1494 0 1.5371 0 0.5117 0 3.7546 0 0 0 0 0 0 12.5680 5.8600 3.5762 0.8035 35.7079 28.4901 0 0 0 0 4.3022 0 0 0 50.0311 0 0 0 0 0.0844 2.6985 9.4952 4.3778 1.1327 5.7697 0.7067 1.7762 1.4905 1.1912 4.1520 0 3.5699 0 1.5221 1.5943 0.0357 2.4339 0.1144 2.4433 2.9796 2.4985 0 3.5235 0 3.5678 0.2560 1.5766 0.8887 2.3344 0.5771 0 0.4387 0.7746 0.1516 0.0390 2.4652 1.3249 1.0179 1.8897 12.1889 40.5141 4.8956 0 0 0 0 0 0 0 44.4626 1.3948 0 0 0 0 4.1845 4.5355 5.9887 0 7.1588 3.9425 2.9330 0.4952 0 6.0102 0 0 0.4060 5.4892 0.1191 0.2357 0 1.2999 0.3159 4.4661 0.8305 3.4172 4.6027 0 3.3143 1.2032 2.6100 1.2941 4.2377 2.2455 0.9820 2.2769 2.8268 0 2.5545 0.8773 1.9159 0.6273 1.2152 0 49.2414 4.7949 0 0 0 0 0 0 0 40.6447 1.4704 0 0 0 0.4951 5.3866 5.8237 3.4483 0.8810 3.6529 6.0761 2.7581 3.9761 0.4594 2.2657 4.8680 0 7.2845 0 0 5.6962 0 2.2741 1.5635 2.3111 0 4.4742 4.1332 0 3.7398 2.0714 2.4853 2.9274 4.6579 2.2226 1.7031 2.5226 1.7166 2.5288 1.5425 3.8449 1.6994 1.5200 4.7391 0 39.7676 6.7440 0.1847 0 0 0.8061 0 20.5270 0 42.8951 0 0.6040 0 0 0 0 4.2120 3.9715 5.0854 3.3787 1.6685 4.2613 6.3434 2.8469 2.2657 5.1550 0 3.8373 1.5728 0 5.1355 0 3.9804 1.0350 2.2182 0 5.0446 1.3992 0.7297 2.6861 1.7759 0.4158 3.7004 4.6398 1.1722 2.2534 4.2456 0 3.3808 5.4214 2.5106 1.6375 3.1626 6.0390 0 6.9108 8.8553 0 0 0 0 0 16.3251 0 44.4837 0 0 0 0 0 0 0 0 2.7352 6.8060 3.5010 4.8931 5.2347 5.1884 3.1099 6.3661 0 0 1.4502 2.0556 4.5340 0 2.3796 1.9449 0 1.2941 2.7450 0 5.5862 0.8726 0.5950 1.1227 2.6175 1.4533 3.5177 0.3053 4.1855 0.5965 2.0536 5.4603 3.2678 4.2247 1.8771 2.5387 0 0 1.1489 1.5709 1.4829 3.5043 0 0 3.6449 0 34.6840 0.4478 0 0.3275 0 0 0 0 0 0 0 1.5359 10.0581 9.7564 1.5709 4.3345 8.0436 1.8656 4.1656 0 3.0223 4.0408 0.2230 0.1439 0 0.9492 1.2473 0.3285 0.8152 5.5689 2.5179 0 0.7430 2.6264 0 5.5510 0.2886 3.6111 1.0239 2.8738 2.8555 4.1304 5.0261 0 1.0107 0 0 0 2.2829 0.4683 0.0626 0 0 1.3368 0 18.5592 0 0 2.5133 0 0 0 0 0 0.5836 0 0 0 0 7.7322 15.8052 6.0067 4.8262 7.0452 6.0937 0 3.6257 4.5935 0 0 0.6810 1.2084 0 1.2739 2.6722 0.9487 2.7396 0 2.1413 0 4.6762 1.4576 1.7293 1.8794 2.6050 6.6347 1.2094 5.4502 1.4738 1.3982 act(:,:,2) = 1.0e+03 * 0.0114 0.0022 0.0320 0.0332 0 0 0.0072 0 0.0654 0.0485 0.0117 0 0 0.0245 0.0345 0.0268 0.0235 0.0458 0.0043 0 0 0.0016 0.0386 0.0296 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0.0099 0.0330 0.0186 0.0059 0.0101 0 0 0.0049 0.0290 0.0345 0.0152 0 0.0561 0.0277 0 0.0282 0.0300 0.0605 0.0097 0 0.0307 0.0119 0.0254 0.0318 0 0.0319 0.0178 0.0027 0.0298 0.0073 0.0103 0.0135 0.0154 0.0050 0.0166 0.0191 0.0112 0.0076 0.0054 0.0147 0.0229 0.0069 0.0290 0.0026 0.0160 0.0226 0.0098 0.0266 0.0187 0.0157 0.0162 0.0268 0.0010 0.0077 0 0.0194 0.0215 0.0173 0.0167 0.0196 0.0130 0.0203 0.0165 0 0 0.0446 0.0498 0 0.0120 0.0209 0.0575 0.0170 0.0315 0 0.0233 0.0406 0.0171 0.0043 0.0003 0.0320 0.0226 0.0136 0.0264 0.0069 0.0042 0.0197 0.0167 0.0025 0.0169 0.0081 0.0166 0.0241 0.0111 0.0109 0.0014 0.0144 0.0321 0.0232 0 0.0238 0.0154 0.0170 0.0125 0.0245 0.0028 0.0095 0.0038 0.0192 0.0318 0.0196 0.0122 0.0079 0 0.0242 0.0286 0.0229 0.0065 0.0186 0.0209 0.0310 0.0017 0 0.0247 0 0 0.0193 0.0706 0.0043 0.0592 0 0 0.0232 0.0123 0.0017 0.0217 0.0151 0.0078 0.0401 0.0138 0.0319 0.0161 0.0444 0.0163 0.0000 0.0103 0.0159 0.0299 0 0.0452 0.0035 0 0.0413 0.0074 0.0199 0.0059 0.0151 0.0182 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0 0 0 0.1241 0.2982 0.3905 0 0 0 0 0.2327 0.3591 0.3692 0 0 0.0170 0 0.0872 0.0616 0 0 0 0 0 0.0323 0.0961 0.0105 0.0116 0.1940 0 0 0 0.0048 0.0248 0.0204 0.0187 0 0 0.3424 0.0859 0 0 0 0.0615 0 0 0 0 0.1035 0.0374 0 0 0.1189 0.0567 0 0 0.1875 0.2105 0.1720 0.1564 0 0 0 0 0.2813 0.4659 0.2406 0.1500 0 0 0.0568 0 0 0 0 0.0145 0 0.0256 0 0 0 0 0 0.1345 0.1462 0.0599 0.0181 0.0075 0 0.0012 0.0045 0.1219 0.5206 0.0981 0 0.0420 0 0.0178 0.0507 0 0 0 0 0.1963 0 0 0 0.0671 0 0 0 0 0.0101 0 0 0.5068 0.6583 0 0 0.4608 0.2808 0 0 0 0.2161 0.1699 0.0217 0 0 0 0 0 0 0 0 0 0 0.0435 0.0638 0.1281 0.1897 0.1844 0.1307 0.0649 0.0558 0.0462 0.1934 0.6727 0 0 0.0684 0.0047 0.0068 0 0.0195 0.0372 0 0.0265 0.1314 0.0094 0 0 0 0 0 0 0 0 0 0.2564 0.4151 0.7665 0.3185 0.0143 0 0 0 0 0 0 0 0 0.0279 0.0195 0.0058 0.0505 0.0664 0.0967 0.1495 0.1413 0.1853 0.1304 0.0432 0.0131 0 0 0 0.0533 0.0633 0.0216 0 0 0.5413 0.7106 0 0.0861 0.0203 0 0 0.2238 0 0 0.0007 0.0962 0.0190 0.0699 0.0225 0 0.0029 0 0 0 0 0.3353 0.4531 0 0 0.1542 0.0851 0 0 0.1039 0.4140 0.1984 0 0 0 0.0256 0.0886 0.0980 0.0421 0 0.0383 0 0 0.0204 0.0723 0 0 0 0 0 0 0 0 0 0 0 0.5032 0.3462 0.1495 0.3343 0.2307 0.0549 0 0 0 0 0.1316 0.0553 0.0274 0.0093 0.0035 0.0032 0 0.0186 0 0 0 0 0.2483 0.0627 0.0369 0 0.0022 0.0715 0.1743 0.1599 0.0862 0.0379 0 0 0 0.0176 0.0058 0 0.0237 0 0 0.0855 0 0 0.0527 0.0742 0.0153 0.0340 0 0 0 0 0.0078 0 0 0 0 0 0.0440 0.2150 0.1131 0 0 0.0464 0.0443 0.1085 0.0667 0.0255 0.0317 0.0270 0.0132 0 0.0321 0 0.0439 0 0 0.1018 0.1457 0.1133 0.0753 0.0565 0.0767 0.0725 0.0296 0.0047 0 0 0.0134 0 0 0 0.0202 0.0694 0 0.0627 0.0977 0.1122 0.0457 0 0 0.0070 0.0050 0.0195 0.0159 0.0131 0.0276 0.0441 0.0488 0.0053 0 0 0 0 0 0 0.0774 0.1145 0.0795 0.0747 0.0405 0.0488 0.0121 0.0650 0.0634 0.0084 0.0086 0.0174 0 0 0 0 0 0.1668 0.0909 0.0734 0.0767 0.0935 0.0689 0.0403 0.0276 0.0211 0 0 0.0020 0 0.0244 0.0015 0 0.0428 0.0179 0 0.0248 0.0784 0.0788 0.0432 0.0285 0 0 0.0422 0.0322 0.0251 0.0326 0.0204 0.0237 0 0 0 0.0022 0 0 0.0285 0.0132 0.0288 0.0514 0.0364 0.0677 0.0044 0.0354 0.0324 0.0213 0.0280 0.0014 0 0 0.0065 0.0565 0 0 0.1518 0.1453 0.0619 0.0712 0.0790 0.0725 0.0653 0.0441 0.0223 0 0 0 0 0.0493 0 0.0065 0.0625 0.0125 0 0 0.0131 0.0270 0.0234 0.0433 0.0288 0.0076 0.0381 0.0276 0.0308 0.0287 0.0216 0.0351 0.0112 0.0137 0.0271 0.0119 0.0034 0.0036 0.0010 0 0.0118 0.0488 0.0279 0.0486 0.0255 0.0401 0.0324 0 0 0 0 0 0.0273 0 0 0 0.0436 0.2336 0.1796 0.1006 0.0970 0.0951 0.0730 0.0515 0 0 0 0 0.0409 0.0930 0 0 0.0099 0.0309 0 0.0218 0.0217 0.0126 0.0189 0.0303 0 0.0030 0.0166 0.0203 0.0415 0.0393 0.0428 0.0390 0.0165 0.0259 0.0351 0.0109 0 0.0147 0.0093 0.0364 0 0.0208 0.0369 0 0 0 0 0.0488 0.2102 0.2671 0.1002 0 0 0.0150 0 0 0 0.0634 0.2511 0.2468 0.1376 0.1156 0.0799 0.0610 0.0198 0.0181 0 0 0.0211 0.0316 0 0 0.0092 0.0063 0 0.0369 0.0136 0.0270 0.0264 0.0008 0 0.0412 0 0.0122 0.0494 0.0332 0.0327 0.0259 0.0010 0.0192 0.0444 0.0410 0.0301 0.0211 0.0342 0 0.0258 0 0 0 0 0.0326 0.0832 0.2026 0.3685 0.2409 0.0195 0 0 0.0051 0 0 0 0 0.0053 0.3040 0.3390 0.1977 0.1333 0.0910 0.0477 0.0286 0 0 0 0.0425 0 0 0 0 0 0.0289 0.0225 0.0097 0.0442 0.0249 0 0.0515 0.0059 0.0028 0.0347 0.0308 0.0333 0.0151 0 0.0119 0.0310 0.0395 0.0419 0.0013

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