问题
I have the following example matrix:
A B C D E F G H I J K L M N O P Q R S T
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 1 1 1
3 1 1 1 1 1 1
4 1 1 1 1 1 1
5 1 1 1 1 1 1 1
I am trying to count the number of rows for which at least one pair of non-sequential columns excluding row A includes entries in both columns. The pairs of columns are known but the distance between columns is not constant. In the current example, columns B & K and C & L are paired (distance or d = 9), E & I and F & J are paired (d = 4), and G & S and H & T are paired (d = 12). Notice that column D is not paired with any other column. This frequently occurs: usually the column distance between pairings changes after a column with no intrinsic pairing, e.g., A & E (d = 4), B & F (d = 4), C has no pairing, D & K (d = 7), E & L (d = 7), etc.
In the current example, the number of rows where at least one pair of of columns (as specified above) include entries is 3. For example, row 1 features entries for all pairs of columns, row 3 has entries for column pair F & J, as well as G & S, and row 4 has entries for column pairing C & L.
Here's a sample of an array formula I wrote:
=COUNT(IFS(SUBTOTAL(2,OFFSET(B1,ROW(B1:B5)-ROW(B1),0,1,COLUMNS(B1:C1)))>1,SUBTOTAL(2,OFFSET(A1,ROW(A1:A5)-ROW(A1),0,1,COLUMNS(A1))),SUBTOTAL(2,OFFSET(C1,ROW(C1:C5)-ROW(C1),0,1,COLUMNS(C1:D1)))>1,SUBTOTAL(2,OFFSET(A1,ROW(A1:A5)-ROW(A1),0,1,COLUMNS(A1)))))
It counts the number of entries for pairs of sequential columns (e.g., B & C, C & D). I am unsure how to update it so that it specifies pairs of non-sequential columns (e.g., B & K, C & L, E & I, etc. as specified above).
Here are a few conditions:
- You may not think SUBTOTAL is the most efficient option (e.g., MMULT abd SUBTOTAL might be more appropriate); however, I am limited to expressing this within a single excel formula (no VBA code, unfortunately). I cannot create new columns or rows either.
- The matrix entries are not necessarily 1 in the actual matrix, but they are whole numbers (ranging from 1-100).
- Within the full matrix, there are 8 column pairings with a distance = 9, 11 column pairings with a distance of 12, and 3 column pairings with a distance of 3.
回答1:
Try this formula
=SUM(IF((
IF(B1:B5>0,IF(K1:K5>0,1))+
IF(C1:C5>0,IF(L1:L5>0,1))+
IF(E1:E5>0,IF(I1:I5>0,1))+
IF(F1:F5>0,IF(J1:J5>0,1))+
IF(G1:G5>0,IF(S1:S5>0,1))+
IF(H1:H5>0,IF(T1:T5>0,1))
) > 0, 1, 0))
You can add the remaining pairs in the above list, i have added the ones you have mentioned.
来源：https://stackoverflow.com/questions/52915579/excel-formula-for-counting-entries-within-multiple-pairs-of-non-sequential-col