In `@algorithms/dynamic_programming/climb_stairs/__init__.py`:
- Around line 16-27: The bottom‑up function climb_stairs_dp_bottom_up can
IndexError for n <= 0; add an early input guard that mirrors the top‑down base
cases: if n <= 0 return 0, if n == 1 return 1 (and optionally if n == 2 return
2) before allocating dp, so subsequent dp[1]/dp[2] assignments are safe; update
climb_stairs_dp_bottom_up to validate n and return the correct base values.

In `@algorithms/dynamic_programming/coin_change/__init__.py`:
- Around line 10-41: The function find_minimum_coins incorrectly uses
range(total_change) so it never considers combinations of length total_change
and also calls min(coins) without handling an empty coins list; update logic in
find_minimum_coins to first check if coins is empty and raise a clear
ValueError, then iterate combination lengths from 1 up to and including
total_change (e.g., range(1, total_change + 1)) so solutions like
total_change=1, coins=[1] are tried; remove or stop relying on the unused result
variable and ensure the function still raises ValueError when no combination
sums to total_change.

In `@algorithms/dynamic_programming/coin_change/README.md`:
- Line 74: Change the heading text "Step by Step solution construction" to use
the compound modifier form "Step-by-step solution construction" by updating that
heading string in the README (the heading line currently reads Step by Step
solution construction).

In `@algorithms/dynamic_programming/coin_change/test_coin_change.py`:
- Around line 28-30: The test signature for test_find_minimum_coins incorrectly
types the expected parameter as int even though find_minimum_coins returns a
List[int]; update the type hint for the expected parameter in
test_find_minimum_coins from int to List[int] (ensure List is imported if
needed) so the test signature matches the actual return type of
find_minimum_coins.

In `@DIRECTORY.md`:
- Around line 60-61: The "Coin Change" list entry and its nested link "[Test
Coin
Change](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/dynamic_programming/coin_change/test_coin_change.py)"
are mis-indented; fix MD007 by adjusting the indentation to match the
repository's 2-space nesting convention so the parent bullet and its child link
align (e.g., ensure the nested link is indented two spaces under the "Coin
Change" bullet). Locate the "Coin Change" bullet and its nested link in
DIRECTORY.md and re-indent those lines to the correct 2-space nesting level.