Cody

# Problem 42854. Crunch that matrix!

Solution 1463377

Submitted on 14 Mar 2018 by Isaias Araya
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### Test Suite

Test Status Code Input and Output
1   Pass
a=reshape(1:36,6,[]); b=[sum(a(:,1:3),2) sum(a(:,4:6),2)]; m=matrix_crunch(a); assert(max(max(abs(m-b)))<1e-10)

y = 21 m = 4 y = 21 75 m = 7 y = 21 75 24 0 m = 4 y = 21 75 24 78 m = 7 y = 21 75 24 78 27 0 m = 4 y = 21 75 24 78 27 81 m = 7 y = 21 75 24 78 27 81 30 0 m = 4 y = 21 75 24 78 27 81 30 84 m = 7 y = 21 75 24 78 27 81 30 84 33 0 m = 4 y = 21 75 24 78 27 81 30 84 33 87 m = 7 y = 21 75 24 78 27 81 30 84 33 87 36 0 m = 4 y = 21 75 24 78 27 81 30 84 33 87 36 90 m = 7

2   Pass
a=magic(9)-30; b=[sum(a(:,1:3),2) sum(a(:,4:6),2) sum(a(:,7:9),2)]; m=matrix_crunch(a); assert(max(max(abs(m-b)))<1e-10)

y = 84 m = 4 y = 84 3 m = 7 y = 84 3 12 m = 10 y = 84 3 12 114 0 0 m = 4 y = 84 3 12 114 -48 0 m = 7 y = 84 3 12 114 -48 33 m = 10 y = 84 3 12 114 -48 33 63 0 0 m = 4 y = 84 3 12 114 -48 33 63 -27 0 m = 7 y = 84 3 12 114 -48 33 63 -27 63 m = 10 y = 84 3 12 114 -48 33 63 -27 63 12 0 0 m = 4 y = 84 3 12 114 -48 33 63 -27 63 12 3 0 m = 7 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 m = 10 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 0 0 m = 4 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 0 m = 7 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 m = 10 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 0 0 m = 4 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 0 m = 7 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 m = 10 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 0 0 m = 4 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 0 m = 7 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 3 m = 10 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 3 33 0 0 m = 4 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 3 33 114 0 m = 7 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 3 33 114 -48 m = 10 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 3 33 114 -48 54 0 0 m = 4 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 3 33 114 -48 54 63 0 m = 7 y = 84 3 12 114 -48 33 63 -27 63 12 3 84 -48 33 114 -18 63 54 3 93 3 33 114 -48 54 63 -18 m = 10

3   Pass
a=rand(12); b=[sum(a(:,1:3),2) sum(a(:,4:6),2) sum(a(:,7:9),2) sum(a(:,10:12),2)]; m=matrix_crunch(a); assert(max(max(abs(m-b)))<1e-10)

y = 1.1027 m = 4 y = 1.1027 0.6165 m = 7 y = 1.1027 0.6165 2.7925 m = 10 y = 1.1027 0.6165 2.7925 1.2040 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 1.8926 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 1.8926 1.2950 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 1.8926 1.2950 2.0304 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 1.8926 1.2950 2.0304 2.4555 0 0 0 m = 4 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 1.8926 1.2950 2.0304 2.4555 1.2856 0 0 m = 7 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 1.8926 1.2950 2.0304 2.4555 1.2856 0.7572 0 m = 10 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 1.4741 1.7162 1.0285 1.2926 1.1481 1.1714 2.1945 1.0342 1.5724 0.8300 1.5521 2.0375 0.7733 1.2250 1.8926 1.2950 2.0304 2.4555 1.2856 0.7572 0.9116 m = 13 y = 1.1027 0.6165 2.7925 1.2040 0.9832 0.8075 2.0650 1.7909 1.5080 1.3619 1.1410 1.0494 1.4218 1.5840 1.0334 1.4903 0.8896 1.7508 1.3621 ...

4   Pass
a=ones(18); b=3*ones(18,6); m=matrix_crunch(a); assert(max(max(abs(m-b)))<1e-10)

y = 3 m = 4 y = 3 3 m = 7 y = 3 3 3 m = 10 y = 3 3 3 3 m = 13 y = 3 3 3 3 3 m = 16 y = 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 3 3 3 3 3 3 3 0 0 m = 13 y = 3 3 3 3 3 3 3 3 3 3 3 0 m = 16 y = 3 3 3 3 3 3 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 m = 13 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 m = 16 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 m = 13 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 m = 16 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 m = 13 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 m = 16 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 m = 13 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 m = 16 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 m = 13 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 m = 16 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 m = 13 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 m = 16 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 m = 19 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 m = 4 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 m = 7 y = 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 m = 10 y = 3 3 3 ...

5   Pass
a=magic(15)+j.*flipud(magic(15)); a=a(1:10,:)-rand(10,15); b=[sum(a(:,1:3),2) sum(a(:,4:6),2) sum(a(:,7:9),2) sum(a(:,10:12),2) sum(a(:,13:15),2)]; m=matrix_crunch(a); assert(max(max(abs(m-b)))<1e-10)

y = 4.1568e+02 + 3.6900e+02i m = 4 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i m = 7 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i m = 10 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i m = 13 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i m = 16 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 4 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 7 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 10 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 0.0000 + 0.0000i m = 13 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i m = 16 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 4 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 7 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 10 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 0.0000 + 0.0000i m = 13 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i m = 16 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 4 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 7 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 10 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 0.0000 + 0.0000i m = 13 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i m = 16 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 4 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.7050 + 3.3000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 7 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.7050 + 3.3000i 1.9284 + 4.8300i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 10 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.7050 + 3.3000i 1.9284 + 4.8300i 3.4683 + 6.0600i 0.0000 + 0.0000i m = 13 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.7050 + 3.3000i 1.9284 + 4.8300i 3.4683 + 6.0600i 4.6921 + 0.6900i m = 16 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.7050 + 3.3000i 1.9284 + 4.8300i 3.4683 + 6.0600i 4.6921 + 0.6900i 4.3038 + 1.7400i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 4 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.7050 + 3.3000i 1.9284 + 4.8300i 3.4683 + 6.0600i 4.6921 + 0.6900i 4.3038 + 1.7400i 1.1793 + 2.8200i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 7 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i 3.8885 + 1.6500i 5.5907 + 2.5500i 2.6330 + 3.7800i 1.4550 + 5.3100i 2.9876 + 4.1400i 4.2141 + 1.1700i 6.0787 + 2.0700i 0.7050 + 3.3000i 1.9284 + 4.8300i 3.4683 + 6.0600i 4.6921 + 0.6900i 4.3038 + 1.7400i 1.1793 + 2.8200i 2.4077 + 4.3500i 0.0000 + 0.0000i 0.0000 + 0.0000i m = 10 y = 1.0e+02 * 4.1568 + 3.6900i 5.6875 + 5.2200i 2.4138 + 4.3500i 1.5370 + 1.0800i 3.0786 + 2.6100i 4.6292 + 3.3600i 6.1699 + 4.7400i 0.6505 + 6.1200i 2.0159 + 0.6000i 3.3952 + 2.1300i 5.1241 + 2.8800i 4.3880 + 4.2600i 0.9808 + 5.7900i 2.5053 + 2.3700i ...