## Reverse a list ignoring blanks

This article demonstrates two different formulas, one for Excel 365 and one for earlier versions.

#### Table of Contents

## 1. Reverse a list ignoring blanks

The image above demonstrates a formula in cell D3 that rearranges values, bottom value is now on top etc.

Formula in C2:

To enter an array formula, type the formula in a cell then press and hold CTRL + SHIFT simultaneously, now press Enter once. Release all keys.

The formula bar now shows the formula with a beginning and ending curly bracket telling you that you entered the formula successfully. Don't enter the curly brackets yourself.

### Explaining formula in cell D3

#### Step 1 - Find non-empty cells

$B$3:$B$14<>""

becomes

{"AA"; ""; "BB"; "CC"; ""; "BB"; "DD"; ""; "FF"; "GG"; ""; "HH"}<>""

and returns

{TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE}

#### Step 2 - Replace TRUE with corresponding row value

The IF function returns the row number if cell is not blank. FALSE returns "" (nothing).

IF($B$3:$B$14<>"", MATCH(ROW($B$3:$B$14), ROW($B$3:$B$14)), "")

becomes

IF({TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE}, MATCH(ROW($B$3:$B$14), ROW($B$3:$B$14)), "")

becomes

IF({TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE}, {1;2;3;4;5;6;7;8;9;10;11;12}, "")

and returns

{1;"";3;4;"";6;7;"";9;10;"";12}

#### Step 3 - Find k-th largest row number

The LARGE function extracts the k-th smallest number from cell range or array. LARGE(array. k) The second argument contains ROWS($D$1:D1), it has an expanding cell reference that grows when cell is copied to cells below.

LARGE(IF($B$3:$B$14<>"", MATCH(ROW($B$3:$B$14), ROW($B$3:$B$14)), ""), ROWS($D$1:D1))

becomes

LARGE({1;"";3;4;"";6;7;"";9;10;"";12}, ROWS($D$1:D1))

becomes

LARGE({1;"";3;4;"";6;7;"";9;10;"";12}, 1)

and returns 12.

#### Step 4 - Return value

The INDEX function returns a value based on a row and column number. In this formula the cell range is only in one column, the row number is only needed.

INDEX($B$3:$B$14, LARGE(IF($B$3:$B$14<>"", MATCH(ROW($B$3:$B$14), ROW($B$3:$B$14)), ""), ROWS($D$1:D1)))

becomes

INDEX($B$3:$B$14, 12)

and returns "HH" in cell D3.

### Get Excel *.xlsx file

Invert a list ignoring blanks.xlsx

## 2. Reverse a list ignoring blanks - Excel 365

This example shows an Excel 365 formula that extracts values in cell range B3:B14, ignores blank cells and returns the values starting from the bottom.

Excel 365 dynamic array formula in cell D3:

### 2.1 Explaining formula

#### Step 1 - Logical expression

The less than and larger than characters combined lets you filter non-empty values, the result is a boolean value TRUE or FALSE.

B3:B14<>""

becomes

{"AA"; ""; "BB"; "CC"; ""; "BB"; "DD"; ""; "FF"; "GG"; ""; "HH"}<>""

and returns

{TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE}.

#### Step 2 - Filter list excluding blanks

The FILTER function lets you extract values/rows based on a condition or criteria.

FILTER(*array*, *include*, [*if_empty*])

FILTER(B3:B14, B3:B14<>"")

becomes

FILTER({"AA"; ""; "BB"; "CC"; ""; "BB"; "DD"; ""; "FF"; "GG"; ""; "HH"}, {TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE; TRUE; FALSE; TRUE})

and returns

{"AA"; "BB"; "CC"; "BB"; "DD"; "FF"; "GG"; "HH"}.

#### Step 3 - Calculate the number of values in the array

The ROWS function returns the number of rows a given reference or array contains.

ROWS(*ref*)

ROWS(FILTER(B3:B14,B3:B14<>""))

becomes

ROWS({"AA"; "BB"; "CC"; "BB"; "DD"; "FF"; "GG"; "HH"})

and returns 8.

#### Step 4 - Create a sequential list of numbers from n to 1

The SEQUENCE function creates a list of sequential numbers.

SEQUENCE(*rows*, [*columns*], [*start*], [*step*])

SEQUENCE(ROWS(FILTER(B3:B14, B3:B14<>"")), , ROWS(FILTER(B3:B14, B3:B14<>"")), -1)

becomes

SEQUENCE(8, , 8, -1)

and returns {8; 7; 6; 5; 4; 3; 2; 1}.

#### Step 5 - Get values backwards

The INDEX function returns a value from a cell range, you specify which value based on a row and column number.

INDEX(*array*, *[row_num]*, *[column_num], [area_num]*)

INDEX(FILTER(B3:B14,B3:B14<>""),SEQUENCE(ROWS(FILTER(B3:B14,B3:B14<>"")),,ROWS(FILTER(B3:B14,B3:B14<>"")),-1))

becomes

INDEX({"AA"; "BB"; "CC"; "BB"; "DD"; "FF"; "GG"; "HH"}, {8; 7; 6; 5; 4; 3; 2; 1})

and returns

{"HH"; "GG"; "FF"; "DD"; "BB"; "CC"; "BB"; "AA"}.

#### Step 6 - Optimize formula

The LET function lets you name intermediate calculation results which can shorten formulas considerably and improve performance.

LET(*name1*, *name_value1*, *calculation_or_name2*, [*name_value2*, *calculation_or_name3*...])

INDEX(FILTER(B3:B14,B3:B14<>""),SEQUENCE(ROWS(FILTER(B3:B14,B3:B14<>"")),,ROWS(FILTER(B3:B14,B3:B14<>"")),-1))

FILTER(B3:B14, B3:B14<>"") is repeated three times in the formula.

x - FILTER(B3:B14, B3:B14<>"")

ROWS(FILTER(B3:B14, B3:B14<>"")) is repeated two times in the formula.

y - ROWS(x)

LET(x, FILTER(B3:B14, B3:B14<>""), y, ROWS(x), INDEX(x, SEQUENCE(y, , y, -1)))

## 3. Reverse a list ignoring blanks - manual steps

Create a list of numbers next to the list or table.

- Type 1 in the first cell.
- Type 2 in the next cell below.
- Select both cells.
- Press and hold with left mouse button on the dot in the lower right corner of the selection.
- Drag with mouse as far as needed.
- Release left mouse button.

- Select all cells, see the image above.
- Press CTRL + SHIFT + L to apply the Excel FILTER feature. Filter buttons appear at the top cells.

- Press with left mouse button on the right button, a popup menu appears.
- Press with mouse on "Sort Largest to Smallest".

- Press with left mouse button on the left button, and a popup menu appears.

- Press with left mouse button on the check box next to blanks to deselect it, see the image above.
- Press with left mouse button on the OK button.

Press CTRL + SHIFT + L to disable the Excel Filter. Delete the numbers next to the list.

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