Zig-zag matrix: Difference between revisions
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10 18 19 23 24 |
10 18 19 23 24 |
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</pre> |
</pre> |
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=={{header|Maple}}== |
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{{trans|Stata}} |
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<lang maple>zigzag1:=proc(n) |
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uses ArrayTools; |
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local i,j,u,v,a; |
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j:=Vector[row](1..n,i->i): |
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u:=Replicate(<-1,1>,n): |
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v:=j*~(2*j-~3): |
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v:=Reshape(<v+~1,v+~2>,2*n): |
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a:=Matrix(n,n): |
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for i to n do |
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a[...,i]:=v[i+1..i+n]; |
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v+=u |
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od: |
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a |
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end: |
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zigzag2:=proc(n) |
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local i,v,a; |
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a:=zigzag1(n); |
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v:=Vector(1..n-1,i->i)^~2; |
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for i from 2 to n do |
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a[n+2-i..n,i]-=v[1..i-1] |
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od; |
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a |
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end:</lang> |
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<lang maple>zigzag1(6);</lang> |
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{{out}} |
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<pre>Matrix(6, 6, [[ 1, 2, 6, 7, 15, 16], |
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[ 3, 5, 8, 14, 17, 27], |
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[ 4, 9, 13, 18, 26, 31], |
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[10, 12, 19, 25, 32, 42], |
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[11, 20, 24, 33, 41, 50], |
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[21, 23, 34, 40, 51, 61]])</pre> |
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<lang maple>zigzag2(6);</lang> |
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{{out}} |
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<pre>Matrix(6, 6, [[ 1, 2, 6, 7, 15, 16], |
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[ 3, 5, 8, 14, 17, 26], |
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[ 4, 9, 13, 18, 25, 27], |
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[10, 12, 19, 24, 28, 33], |
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[11, 20, 23, 29, 32, 34], |
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[21, 22, 30, 31, 35, 36]])</pre> |
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=={{header|Mathematica}} / {{header|Wolfram Language}}== |
=={{header|Mathematica}} / {{header|Wolfram Language}}== |
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