Reveal by Halves (in need of a better name)

array-manipulation code-golf subsequence matrix

Inspired by this: http://nolandc.com/smalljs/mouse_reveal/ (source).

A valid answer:

• Takes a number \$w\$ and (assumed non-negative) integer \$x\$.
• Outputs an integer list with a length of \$2^w\$, initially filled with zeroes.
• For each number \$n\$ from \$0\$ to \$w-1\$ (inclusive), divide the list into sub-lists of size \$2^n\$, then increment all of the values in the sub-list that contains the index \$x\$.

Examples

(with coordinates from left, 0 indexed, but your answer may have change these)

w=3, x=1
23110000

w=2, x=2
0021

w=3, x=5
00002311

w=4, x=4
1111432200000000

w=2, x=100
Do not need to handle (can do anything) because x is out of bounds

Meta questions

• Are these tags fitting?
• Would this be better in one dimension? (like \$3, 2\$ returns 11320000) Edit: I've changed it to one dimension but I can revert if it makes it less interesting.
• Should \$w\$ or \$2^w\$ be the input?
• Is this a duplicate?

Reveal by Halves (in need of a better name)

array-manipulation code-golf subsequence

Inspired by this: http://nolandc.com/smalljs/mouse_reveal/ (source).

A valid answer:

• Takes a number \$w\$ and (assumed non-negative) integer \$x\$.
• Outputs an integer list with a length of \$2^w\$, initially filled with zeroes.
• For each number \$n\$ from \$0\$ to \$w-1\$ (inclusive), divide the list into sub-lists of size \$2^n\$, then increment all of the values in the sub-list that contains the index \$x\$.

Examples

(with coordinates from left, 0 indexed, but your answer may have change these)

w=3, x=1
23110000

w=2, x=2
0021

w=3, x=5
00002311

w=4, x=4
1111432200000000

w=2, x=100
Do not need to handle (can do anything) because x is out of bounds

Meta questions

• Are these tags fitting?
• Would this be better in one dimension? (like \$3, 2\$ returns 11320000) Edit: I've changed it to one dimension but I can revert if it makes it less interesting.
• Should \$w\$ or \$2^w\$ be the input?
• Is this a duplicate?

Reveal by Halves (in need of a better name)

array-manipulation code-golf subsequence matrix

Inspired by this: http://nolandc.com/smalljs/mouse_reveal/ (source).

A valid answer:

• Takes a number \$w\$ and (assumed non-negative) integer \$x\$.
• Outputs an integer list with a length of \$2^w\$, initially filled with zeroes.
• For each number \$n\$ from \$0\$ to \$w-1\$ (inclusive), divide the list into sub-lists of size \$2^n\$ by \$2^n\$, then increment all of the values in the sub-list that contains \$x\$.

Examples

(with coordinates from left, 0 indexed, but your answer may have change these)

w=3, x=1
23110000

w=2, x=2
0021

w=3, x=5
00002311

w=4, x=4
1111432200000000

w=2, x=100
Do not need to handle (can do anything) because x is out of bounds

Meta questions

• Are these tags fitting?
• Would this be better in one dimension? (like \$3, 2\$ returns 11320000) Edit: I've changed it to one dimension but I can revert if it makes it less interesting.
• Should \$w\$ or \$2^w\$ be the input?
• Is this a duplicate?

Reveal by Halves (in need of a better name)

array-manipulation code-golf subsequence matrix

Inspired by this: http://nolandc.com/smalljs/mouse_reveal/ (source).

A valid answer:

• Takes a number \$w\$ and (assumed non-negative) integer \$x\$.
• Outputs an integer list with a length of \$2^w\$, initially filled with zeroes.
• For each number \$n\$ from \$0\$ to \$w-1\$ (inclusive), divide the list into sub-lists of size \$2^n\$, then increment all of the values in the sub-list that contains the index \$x\$.

Examples

(with coordinates from left, 0 indexed, but your answer may have change these)

w=3, x=1
23110000

w=2, x=2
0021

w=3, x=5
00002311

w=4, x=4
1111432200000000

w=2, x=100
Do not need to handle (can do anything) because x is out of bounds

Meta questions

• Are these tags fitting?
• Would this be better in one dimension? (like \$3, 2\$ returns 11320000) Edit: I've changed it to one dimension but I can revert if it makes it less interesting.
• Should \$w\$ or \$2^w\$ be the input?
• Is this a duplicate?

Reveal by Quarters (in need of a better name)

array-manipulation code-golf subsequence matrix

Inspired by this: http://nolandc.com/smalljs/mouse_reveal/ (source).

A valid answer:

• Takes a number \$w\$ and integers \$x, y\$.
• Outputs a two-dimensional integer matrix with a width and height of \$2^w\$, initially filled with zeroes.
• For each number \$n\$ from \$0\$ to \$w-1\$ (inclusive), divide the matrix into squares of size \$2^n\$ by \$2^n\$, then increment all of the values in the sub-matrix that contains \$x,y\$.

Examples

(with coordinates from top left, 0 indexed, x then y, but your answer may have change these)

w=3, coords=(1,1)
22110000
23110000
11110000
11110000
00000000
00000000
00000000
00000000

w=2, coords=(2,1)
0011
0021
0000
0000

w=3, coords=(5,7)
00000000
00000000
00000000
00000000
00001111
00001111
00002211
00002311

w=2, coords=(100,100)
Do not need to handle (can do anything) because the coordinates are out of bounds

Output is pretty permissive, w=1, coords=(0,0) can be

10
00

or

[[1,0],[0,0]]

Meta questions

• Are these tags fitting?
• Would this be better in one dimension? (like \$3, 2\$ returns 11320000)
• Should \$w\$ or \$2^w\$ be the input?
• Is this a duplicate?

Reveal by Halves (in need of a better name)

array-manipulation code-golf subsequence matrix

Inspired by this: http://nolandc.com/smalljs/mouse_reveal/ (source).

A valid answer:

• Takes a number \$w\$ and (assumed non-negative) integer \$x\$.
• Outputs an integer list with a length of \$2^w\$, initially filled with zeroes.
• For each number \$n\$ from \$0\$ to \$w-1\$ (inclusive), divide the list into sub-lists of size \$2^n\$ by \$2^n\$, then increment all of the values in the sub-list that contains \$x\$.

Examples

(with coordinates from left, 0 indexed, but your answer may have change these)

w=3, x=1
23110000

w=2, x=2
0021

w=3, x=5
00002311

w=4, x=4
1111432200000000

w=2, x=100
Do not need to handle (can do anything) because x is out of bounds

Meta questions

• Are these tags fitting?
• Would this be better in one dimension? (like \$3, 2\$ returns 11320000) Edit: I've changed it to one dimension but I can revert if it makes it less interesting.
• Should \$w\$ or \$2^w\$ be the input?
• Is this a duplicate?