This may look like a really bad homework but it isn't. I don't know how to call this correctly. It is going to use in tic-tac-toe
I have a table with 3 rows and 3 columns. The structure look like this
1 2 3
- - -
1 | 1 2 3 <---- Cell number
2 | 4 5 6
3 | 7 8 9
I am going to use nested for loop to create a table for tic-tac-toe. For example,When a user click on cell number 1 it will look like this.
1 2 3
- - -
1 | O 2 3 <---- Cell number 1 is toggled
2 | 4 5 6
3 | 7 8 9
I have a problem that I don't know how to assign cell with correct number in for loop. I don't use nested array because it will make code too long.
It sounds to me that you don't want to use a 2D array. Instead, you wish to use a single array and access it as it would be a 2D array. Is this correct?
This means that you have to apply some simple math to your problem.
Based on your description, your 2D table has the same height and width, so height = width.
If you wish to obtain the index of an
index = column + width * row
If you wish to obtain x and y based on the index:
column = index % width;
row = index / width;
Related
I have a formula like this : =ArrayFormula(sort(INDEX($B$1:$B$10,MATCH(E1,$A$1:$A$10,0))))
in columns A:B:
a 1
b 2
c 3
d 4
e 5
f 6
g 7
h 8
i 9
j 10
and
the data to convert in E:H
a c f e
f a c b
b a c d
I get the following results using the above formula
in columns L:O:
1 3 6 5
6 1 3 2
2 1 3 4
My desired output is like this:
1 3 5 6
1 2 3 6
1 2 3 4
I'd like to arrange the numbers from smallest to biggest in value. I can do this with additional helper cells. but if possible i'd like to get the same result without any additional cells. can i get a little help please? thanks.
To sort by row, use SORT BYROW. But unfortunately, nested array results aren't supported in BYROW. So, we need to JOIN and SPLIT the resulting array.
=ARRAYFORMULA(SPLIT(BYROW(your_formula,LAMBDA(row,JOIN("🌆",SORT(TRANSPOSE(row))))),"🌆"))
Here's another way using Makearray with Index to get the current row and Small to get the smallest, next smallest etc. within the row:
=ArrayFormula(makearray(3,4,lambda(r,c,small(index(vlookup(E1:H3,A1:B10,2,false),r,0),c))))
Or you could change the order (might be a little faster) as you don't need to vlookup the entire array, just the current row:
=ArrayFormula(makearray(3,4,lambda(r,c,small(vlookup(index(E1:H3,r,0),A1:B10,2,false),c))))
It's interesting (to me at any rate) that you can interrogate the row and column number of the current cell using Map or Scan, so this is also possible:
=ArrayFormula(map(E1:H3,lambda(cell,small(vlookup(index(E1:H3,row(cell),0),A1:B10,2,false),column(cell)-column(E:E)+1))))
Thanks to #JvdV for this insight (which may be obvious to some but wasn't to me) shown here in Excel.
try:
=INDEX(TRIM(SPLIT(FLATTEN(QUERY(QUERY(QUERY(SPLIT(FLATTEN(E1:H3&"×"&ROW(E1:H3)), ""),
"select max(Col1) group by Col1 pivot Col2"), "offset 1", 0),,9^9)), "×")))
or if you want numbers:
=INDEX(IFNA(VLOOKUP(TRIM(SPLIT(FLATTEN(QUERY(QUERY(QUERY(SPLIT(FLATTEN(E1:H3&"×"&ROW(E1:H3)), ""),
"select max(Col1) group by Col1 pivot Col2"), "offset 1", 0),,9^9)), "×")), A:B, 2, 0)))
I'm trying to extract a matrix with two columns. The first column is the data that I want to group into a vector, while the second column is information about the group.
A =
1 1
2 1
7 2
9 2
7 3
10 3
13 3
1 4
5 4
17 4
1 5
6 5
the result that i seek are
A1 =
1
2
A2 =
7
9
A3 =
7
10
13
A4=
1
5
17
A5 =
1
6
as an illustration, I used the eval function but it didn't give the results I wanted
Assuming that you don't actually need individually named separated variables, the following will put the values into separate cells of a cell array, each of which can be an arbitrary size and which can be then retrieved using cell index syntax. It makes used of logical indexing so that each iteration of the for loop assigns to that cell in B just the values from the first column of A that have the correct number in the second column of A.
num_cells = max (A(:,2));
B = cell (num_cells,1);
for idx = 1:max(A(:,2))
B(idx) = A((A(:,2)==idx),1);
end
B =
{
[1,1] =
1
2
[2,1] =
7
9
[3,1] =
7
10
13
[4,1] =
1
5
17
[5,1] =
1
6
}
Cell arrays are accessed a bit differently than normal numeric arrays. Array indexing (with ()) will return another cell, e.g.:
>> B(1)
ans =
{
[1,1] =
1
2
}
To get the contents of the cell so that you can work with them like any other variable, index them using {}.
>> B{1}
ans =
1
2
How it works:
Use max(A(:,2)) to find out how many array elements are going to be needed. A(:,2) uses subscript notation to indicate every value of A in column 2.
Create an empty cell array B with the right number of cells to contain the separated parts of A. This isn't strictly necessary, but with large amounts of data, things can slow down a lot if you keep adding on to the end of an array. Pre-allocating is usually better.
For each iteration of the for loop, it determines which elements in the 2nd column of A have the value matching the value of idx. This returns a logical array. For example, for the third time through the for loop, idx = 3, and:
>> A_index3 = A(:,2)==3
A_index3 =
0
0
0
0
1
1
1
0
0
0
0
0
That is a logical array of trues/falses indicating which elements equal 3. You are allowed to mix both logical and subscripts when indexing. So using this we can retrieve just those values from the first column:
A(A_index3, 1)
ans =
7
10
13
we get the same result if we do it in a single line without the A_index3 intermediate placeholder:
>> A(A(:,2)==3, 1)
ans =
7
10
13
Putting it in a for loop where 3 is replaced by the loop variable idx, and we assign the answer to the idx location in B, we get all of the values separated into different cells.
I have a matrix and I want to find the maximum value in each column, then find the index of the row of that maximum value.
A = magic(5)
A =
17 24 1 8 15
23 5 7 14 16
4 6 13 20 22
10 12 19 21 3
11 18 25 2 9
[~,colind] = max(max(A))
colind =
3
returns colind as the column index that contains the maximum value. If you want the row:
[~,rowind] = max(A);
max(rowind)
ans =
5
You can use a fairly simple code to do this.
MaximumVal=0
for i= i:length(array)
if MaximumVal>array(i)
MaximumVal=array(i);
Indicies=i;
end
end
MaximumVal
Indicies
Another way to do this would be to use find. You can output the row and column of the maximum element immediately without invoking max twice as per your question. As such, do this:
%// Define your matrix
A = ...;
% Find row and column location of where the maximum value is
[maxrow,maxcol] = find(A == max(A(:)));
Also, take note that if you have multiple values that share the same maximum, this will output all of the rows and columns in your matrix that share this maximum, so it isn't just limited to one row and column as what max will do.
I have a list and I want to split it into sub lists with +/- 1 items.
Example
I have a list with 17 items in it. What I want is to split it into 4 sub lists like these
1.List = 5 elements
2.List = 4 elements
3.List = 4 elements
4.List = 4 elements
How can I do that? What algorithm I should use here?
Use integer division to get the items in each group and then use modular division to get the number of the first n groups that will have +1 item. For example:
17 items into 4 groups:
17 / 4 = 4 - So there will be 4 groups with 4 elements.
17 % 4 = 1 - So the first 1 groups will have an additional 1 element.
Another example:
18 / 4 = 4 - So there will be 4 groups with 4 elements.
18 % 4 = 2 - So the first 2 groups will have an additional 1 element.
What you want is the Power Set of your original list. The more generic approach for retrieving the power set and the respective properties are given at the Power Set page at Wikipedia
This is my code:
data INDAT8; set INDAT6;
Array myarray{24,27};
goodgroups=0;
do i=2 to 24 by 2;
do j=2 to 27;
if myarray[i,j] gt 1 then myarray[i+1,j] = 'bad';
else if myarray[i,j] eq 1 and myarray[i+1,j] = 1 then myarray[i+1,j]= 'good';
end;
end;
run;
proc print data=INDAT8;
run;
Problem:
I have the data in this format- it is just an example: n=2
X Y info
2 1 good
2 4 bad
3 2 good
4 1 bad
4 4 good
6 2 good
6 3 good
Now, the above data is in sorted manner (total 7 rows). I need to make a group of 2 , 3 or 4 rows separately and generate a graph. In the above data, I made a group of 2 rows. The third row is left alone as there is no other column in 3rd row to form a group. A group can be formed only within the same row. NOT with other rows.
Now, I will check if both the rows have “good” in the info column or not. If both rows have “good” – the group formed is also good , otherwise bad. In the above example, 3rd /last group is “good” group. Rest are all bad group. Once I’m done with all the rows, I will calculate the total no. of Good groups formed/Total no. of groups.
In the above example, the output will be: Total no. of good groups/Total no. of groups => 1/3.
This is the case of n=2(size of group)
Now, for n=3, we make group of 3 rows and for n=4, we make a group of 4 rows and find the good /bad groups in a similar way. If all the rows in a group has “good” block—the result is good block, otherwise bad.
Example: n= 3
2 1 good
2 4 bad
2 6 good
3 2 good
4 1 good
4 4 good
4 6 good
6 2 good
6 3 good
In the above case, I left the 4th row and last 2 rows as I can’t make group of 3 rows with them. The first group result is “bad” and last group result is “good”.
Output: 1/ 2
For n= 4:
2 1 good
2 4 good
2 6 good
2 7 good
3 2 good
4 1 good
4 4 good
4 6 good
6 2 good
6 3 good
6 4 good
6 5 good
In this case, I make a group of 4 and finds the result. The 5th,6th,7th,8th row are left behind or ignored. I made 2 groups of 4 rows and both are “good” blocks.
Output: 2/2
So, After getting 3 output values from n=2 , n-3, and n=4 I will plot a graph of these values.
If you can help in any any language using array, if and do loop. it would be great.
I can change my code accordingly.
Update:
The answer for this doesn't have to be in sas. Since it is more algorithm-related than anything, I will accept suggestions in any language as long as they show how to accomplish this using arrays and do.
I am having trouble understanding your problem statement, but from what I can gather here is what I can suggest:
Place data into bins and the process the summary data.
Implementation 1
Assumption: You don't know what the range of the first column will be or distriution will be sparse
Create a hash table. The Key will be the item you are doing your grouping on. The value will be the count seen so far.
Proces each record. If the key already exists, increment the count (value for that key in the hash). Otherwise add the key and set the value to 1.
Continue until you have processed all records
Count the number of keys in the hash table and the number of values that are greater than your threshold.
Implementation 2
Assumption: You know the range of the first column and the distriution is reasonably dense
Create an array of integers with enough elements so the index can match the column value. Initialize all elements to zero. This array will hold your count for each item you are grouping on
Process each record. Examine value of first column. Increment corresponding index in array. (So if you have "2 1 good", do groupCount[2]++)
Continue until you have processed all records
Walk each element in the array. Count how many items are non zero (meaning they appeared at least once) and how many items meet your threshold.
You can use the same approach for gathering the good and bad counts.