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list manipulation - How to programmatically specify multiple iterators?


How to use Row[Table[{B[i],0,i},{i,0,2}],","] directly in Do command? I mean that the following command


Row[Table[{B[i],0,i},{i,0,2}],","]

gives


{B[0], 0, 0},{B[1], 0, 1},{B[2],0,2}


But, the following command returns the error



"Do::nliter: Non-list iterator Row[Table[{B[i], 0, i}, {i, 0, 2}], ,] at position 2 does not evaluate to a real numeric value."



Do[Print[B[0]+B[1]+B[2]],Row[Table[{B[i],0,i},{i,0,2}],","]]

Of course, one can type instead by hand the following:


Do[Print[B[0]+B[1]+B[2]],{B[0],0,0},{B[1],0,1},{B[2],0,2}] 


But, I feel that typing an output by hand again is not really an optimal method.



Answer



What you actually want is to create a Sequence from the Table to be used as your iterators.


You can do this with


Do[Print[B[0] + B[1] + B[2]], Sequence @@ Table[{B[i], 0, i}, {i, 0, 2}] // 
Evaluate]

(*0
1
2

1
2
3*)

Or, so you don't have to force evaluation,


Do[Print[B[0] + B[1] + B[2]], ##] & @@ Table[{B[i], 0, i}, {i, 0, 2}]

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