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BinLists in Array


Hello All

   I Would like to split this array: l={{1, 0}, {1, 1}, {1, 2}, {2,
3}, {2, 4}}, by the second element of each group, to group what are
between 0-2, 2-4,4-6 and so on (just the second element)
   Using BinLists look like a good idea. I get my desirable result
with:
       BinLists[{{1, 0}, {1, 1}, {1, 2}, {2, 3}, {2, 4}}, {0, 10, 10},
{0, 10, 2}]

  But I would like to don't have to put any struction to the first
element (the "{0, 10, 10}" information)
  How I can ignore it? I tried something like
       BinLists[{{1, 0}, {1, 1}, {1, 2}, {2, 3}, {2, 4}},None, {0, 10,
2}]
       BinLists[{{1, 0}, {1, 1}, {1, 2}, {2, 3}, {2, 4}},Automatic,
{0, 10, 2}]
       BinLists[{{1, 0}, {1, 1}, {1, 2}, {2, 3}, {2, 4}},All, {0, 10,
2}]
  But isn't the way.

Thanks in advande
Murta


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