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@BrianLusina BrianLusina commented Dec 17, 2025

Describe your change:

Jump Game greedy algorithms alternatives

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation.
  • If this pull request resolves one or more open issues then the commit message contains Fixes: #{$ISSUE_NO}.

Summary by CodeRabbit

  • New Features

    • Jump Game algorithms now available in the Greedy Algorithms section with multiple solution approaches.
    • Added comprehensive documentation including problem statements, algorithm explanations, and complexity analysis.
  • Tests

    • Added test coverage for all Jump Game solutions.
  • Reorganization

    • Moved Jump Game from Puzzles section to Algorithms > Greedy for improved organization.

✏️ Tip: You can customize this high-level summary in your review settings.

@BrianLusina BrianLusina self-assigned this Dec 17, 2025
@BrianLusina BrianLusina added enhancement Algorithm Algorithm Problem Datastructures Datastructures Documentation Documentation Updates Greedy Greedy Algorithm Array Array data structure Dynamic Programming Dynamic Programming algorithm labels Dec 17, 2025
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coderabbitai bot commented Dec 17, 2025

Walkthrough

The Jump Game problem implementation is relocated from puzzles/arrays/jump_game to algorithms/greedy/jump_game with expanded functionality. The reorganization includes new implementations of jump game algorithms with additional variants, comprehensive documentation, and updated test coverage.

Changes

Cohort / File(s) Summary
Directory and Structure Update
DIRECTORY.md
Updated to reflect relocation: added Jump Game entry to Algorithms > Greedy section and removed it from Puzzles > Arrays section.
New Greedy Jump Game Module
algorithms/greedy/jump_game/README.md, algorithms/greedy/jump_game/__init__.py
Added new module with problem documentation (statements, approaches, complexity analysis) and four greedy functions: can_jump(), can_jump_2(), jump(), jump_2() for jump game variants.
New Test Suite
algorithms/greedy/jump_game/test_jump_game.py
Added comprehensive unit tests with parameterized test cases covering both can-jump and jump variants using CanJumpTestCase and JumpTestCase classes.
Removed Legacy Implementation
puzzles/arrays/jump_game/README.md, puzzles/arrays/jump_game/__init__.py, puzzles/arrays/jump_game/test_jump_game.py
Deleted legacy Jump Game implementation, documentation, and associated tests from puzzles module.

Estimated code review effort

🎯 3 (Moderate) | ⏱️ ~25 minutes

  • Logic verification: Ensure the new greedy implementations (can_jump, can_jump_2, jump, jump_2) are algorithmically correct and functionally equivalent to or improvements over the removed implementations.
  • Import dependency check: Verify that no other files in the codebase import from the old puzzles/arrays/jump_game location to prevent breakage.
  • Test coverage validation: Confirm that CAN_JUMP_TEST_DATA and JUMP_GAME_TEST_DATA provide adequate coverage for all edge cases and algorithm variants.
  • Documentation accuracy: Review README.md for correctness of complexity analysis, algorithm explanations, and examples.

Poem

🐰 Jump game hops to greedy's nest,
From puzzles past to algorithms blessed,
Four functions bound by forward cheer,
Tests and docs make it crystal clear,
Reorganization complete and spry! 🎯

Pre-merge checks and finishing touches

❌ Failed checks (1 warning)
Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 50.00% which is insufficient. The required threshold is 80.00%. You can run @coderabbitai generate docstrings to improve docstring coverage.
✅ Passed checks (2 passed)
Check name Status Explanation
Title check ✅ Passed The title accurately describes the main change: refactoring jump game algorithms by adding greedy alternatives in the algorithms module.
Description check ✅ Passed The description covers the main change, includes a clear summary, and the contributor completed nearly all checklist items with only one optional item incomplete.
✨ Finishing touches
  • 📝 Generate docstrings
🧪 Generate unit tests (beta)
  • Create PR with unit tests
  • Post copyable unit tests in a comment
  • Commit unit tests in branch feat/algorithms-greed-jump-game

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Actionable comments posted: 4

📜 Review details

Configuration used: defaults

Review profile: CHILL

Plan: Pro

📥 Commits

Reviewing files that changed from the base of the PR and between e7de547 and f8ad09c.

⛔ Files ignored due to path filters (30)
  • algorithms/greedy/jump_game/images/examples/jump_game_2_example_1.png is excluded by !**/*.png
  • algorithms/greedy/jump_game/images/examples/jump_game_2_example_2.png is excluded by !**/*.png
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  • algorithms/greedy/jump_game/images/examples/jump_game_2_example_5.png is excluded by !**/*.png
  • algorithms/greedy/jump_game/images/examples/jump_game_2_example_6.png is excluded by !**/*.png
  • algorithms/greedy/jump_game/images/solutions/jump_game_1_solution_1.png is excluded by !**/*.png
  • algorithms/greedy/jump_game/images/solutions/jump_game_1_solution_10.png is excluded by !**/*.png
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  • algorithms/greedy/jump_game/images/solutions/jump_game_2_solution_1.png is excluded by !**/*.png
  • algorithms/greedy/jump_game/images/solutions/jump_game_2_solution_10.png is excluded by !**/*.png
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  • algorithms/greedy/jump_game/images/solutions/jump_game_2_solution_9.png is excluded by !**/*.png
📒 Files selected for processing (7)
  • DIRECTORY.md (1 hunks)
  • algorithms/greedy/jump_game/README.md (1 hunks)
  • algorithms/greedy/jump_game/__init__.py (1 hunks)
  • algorithms/greedy/jump_game/test_jump_game.py (1 hunks)
  • puzzles/arrays/jump_game/README.md (0 hunks)
  • puzzles/arrays/jump_game/__init__.py (0 hunks)
  • puzzles/arrays/jump_game/test_jump_game.py (0 hunks)
💤 Files with no reviewable changes (3)
  • puzzles/arrays/jump_game/README.md
  • puzzles/arrays/jump_game/test_jump_game.py
  • puzzles/arrays/jump_game/init.py
🧰 Additional context used
🧬 Code graph analysis (1)
algorithms/greedy/jump_game/test_jump_game.py (1)
algorithms/greedy/jump_game/__init__.py (4)
  • can_jump (4-23)
  • jump (49-88)
  • can_jump_2 (26-46)
  • jump_2 (91-127)
🪛 markdownlint-cli2 (0.18.1)
DIRECTORY.md

88-88: Unordered list indentation
Expected: 2; Actual: 4

(MD007, ul-indent)


89-89: Unordered list indentation
Expected: 4; Actual: 6

(MD007, ul-indent)

🔇 Additional comments (3)
algorithms/greedy/jump_game/README.md (1)

1-205: Excellent documentation!

The README provides comprehensive documentation for both Jump Game problems with clear explanations, examples, algorithm descriptions, and complexity analysis. The structured approach with problem statements, naive vs. optimized solutions, and step-by-step algorithms makes it very accessible.

algorithms/greedy/jump_game/test_jump_game.py (1)

1-53: Well-structured tests with good edge case coverage.

The test module is well-organized using parameterized tests to validate both implementations of each algorithm variant. The test data covers important edge cases including single-element arrays, arrays with zeros, and unreachable scenarios.

Optional enhancement: Consider adding test cases for empty arrays once input validation is added to the implementation functions, to ensure they handle this edge case consistently.

algorithms/greedy/jump_game/__init__.py (1)

49-88: Add validation for empty arrays.

While the function correctly handles single-element arrays, it doesn't validate for empty arrays. If nums = [], the function will raise an IndexError when accessing nums[idx] in the loop.

Add validation after the size check:

 def jump(nums: List[int]) -> int:
     """
     This function returns the minimum number of jumps needed to reach the last index of the array from the first index.
     Args:
         nums(list): list of integers
     Returns:
         int: minimum number of jumps needed to reach the last index
     """
     size = len(nums)
     # if start index == destination index == 0
     if size == 1:
         return 0
+    if size == 0:
+        return 0  # or raise ValueError("Input array cannot be empty")
 
     # destination is last index
     destination = size - 1

Likely an incorrect or invalid review comment.

Comment on lines +4 to +23
def can_jump(nums: List[int]) -> bool:
"""
This function checks if it is possible to reach the last index of the array from the first index.
Args:
nums(list): list of integers
Returns:
bool: True if can jump to the last index, False otherwise
"""

current_position = nums[0]

for idx in range(1, len(nums)):
if current_position == 0:
return False

current_position -= 1

current_position = max(current_position, nums[idx])

return True
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⚠️ Potential issue | 🟡 Minor

Add input validation for empty arrays.

The function will raise an IndexError when accessing nums[0] if the input array is empty. While the test data doesn't include empty arrays, adding a guard check would make the function more robust.

Consider adding validation at the beginning:

 def can_jump(nums: List[int]) -> bool:
     """
     This function checks if it is possible to reach the last index of the array from the first index.
     Args:
         nums(list): list of integers
     Returns:
         bool: True if can jump to the last index, False otherwise
     """
+    if not nums:
+        return True  # or raise ValueError("Input array cannot be empty")
 
     current_position = nums[0]
🤖 Prompt for AI Agents
In algorithms/greedy/jump_game/__init__.py around lines 4 to 23, the function
reads nums[0] without checking for an empty list which raises IndexError; add an
input validation guard at the top (e.g., if not nums: return False or decide
appropriate behavior) before accessing nums[0], and keep the rest of the
algorithm unchanged so empty inputs are handled safely.

Comment on lines +26 to +46
def can_jump_2(nums: List[int]) -> bool:
"""
This function checks if it is possible to reach the last index of the array from the first index.
This variation starts checking from the last element in the input list and tracking back to check if it is possible
to reach the end.
Args:
nums(list): list of integers
Returns:
bool: True if can jump to the last index, False otherwise
"""
target_num_index = len(nums) - 1

for idx in range(len(nums) - 2, -1, -1):
if target_num_index <= idx + nums[idx]:
target_num_index = idx

if target_num_index == 0:
return True
return False
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⚠️ Potential issue | 🟡 Minor

Add input validation and simplify return statement.

  1. The function doesn't handle empty arrays. If nums = [], target_num_index becomes -1, and the function returns False, which may not be the intended behavior.

  2. The return statement can be simplified to a single line.

Apply this diff to address both issues:

 def can_jump_2(nums: List[int]) -> bool:
     """
     This function checks if it is possible to reach the last index of the array from the first index.
 
     This variation starts checking from the last element in the input list and tracking back to check if it is possible
     to reach the end.
 
     Args:
         nums(list): list of integers
     Returns:
         bool: True if can jump to the last index, False otherwise
     """
+    if not nums:
+        return True  # or raise ValueError("Input array cannot be empty")
+
     target_num_index = len(nums) - 1
 
     for idx in range(len(nums) - 2, -1, -1):
         if target_num_index <= idx + nums[idx]:
             target_num_index = idx
 
-    if target_num_index == 0:
-        return True
-    return False
+    return target_num_index == 0
📝 Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
def can_jump_2(nums: List[int]) -> bool:
"""
This function checks if it is possible to reach the last index of the array from the first index.
This variation starts checking from the last element in the input list and tracking back to check if it is possible
to reach the end.
Args:
nums(list): list of integers
Returns:
bool: True if can jump to the last index, False otherwise
"""
target_num_index = len(nums) - 1
for idx in range(len(nums) - 2, -1, -1):
if target_num_index <= idx + nums[idx]:
target_num_index = idx
if target_num_index == 0:
return True
return False
def can_jump_2(nums: List[int]) -> bool:
"""
This function checks if it is possible to reach the last index of the array from the first index.
This variation starts checking from the last element in the input list and tracking back to check if it is possible
to reach the end.
Args:
nums(list): list of integers
Returns:
bool: True if can jump to the last index, False otherwise
"""
if not nums:
return True # or raise ValueError("Input array cannot be empty")
target_num_index = len(nums) - 1
for idx in range(len(nums) - 2, -1, -1):
if target_num_index <= idx + nums[idx]:
target_num_index = idx
return target_num_index == 0
🤖 Prompt for AI Agents
In algorithms/greedy/jump_game/__init__.py around lines 26 to 46, add input
validation to handle an empty list by returning False early (e.g., if not nums:
return False), then simplify the final return to a single-line boolean
expression (return target_num_index == 0); keep the existing backward scan logic
unchanged.

Comment on lines +91 to +127
def jump_2(nums: List[int]) -> int:
"""
This function returns the minimum number of jumps needed to reach the last index of the array from the first index.
Args:
nums(list): list of integers
Returns:
int: minimum number of jumps needed to reach the last index
"""
# Store the length of the input array
size = len(nums)

# if start index == destination index == 0
if size == 1:
return 0

# Initialize the variables to track the number of jumps,
# the current jump's limit, and the farthest reachable index
min_jumps = 0
current_jump_boundary = 0
furthest_jump_index = 0

# Iterate through the array, stopping before the last element
for idx in range(size - 1):
# Update the farthest_jump_index to be the maximum of its current value
# and the index we can reach from the current position
furthest_jump_index = max(furthest_jump_index, idx + nums[idx])

# If we have reached the limit of the current jump
if idx == current_jump_boundary:
# update counter of jump by +1
min_jumps += 1

# Update the current_jump_boundary to the farthest we can reach
current_jump_boundary = furthest_jump_index

# Return the total number of jumps needed to reach the end of the array
return min_jumps
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⚠️ Potential issue | 🟡 Minor

Add validation for empty arrays.

Similar to the jump function, this implementation doesn't handle empty arrays. Add the same validation to prevent potential IndexError.

Apply this diff:

 def jump_2(nums: List[int]) -> int:
     """
     This function returns the minimum number of jumps needed to reach the last index of the array from the first index.
     Args:
         nums(list): list of integers
     Returns:
         int: minimum number of jumps needed to reach the last index
     """
     # Store the length of the input array
     size = len(nums)
 
     # if start index == destination index == 0
     if size == 1:
         return 0
+    if size == 0:
+        return 0  # or raise ValueError("Input array cannot be empty")
 
     # Initialize the variables to track the number of jumps,
     # the current jump's limit, and the farthest reachable index
     min_jumps = 0
🤖 Prompt for AI Agents
In algorithms/greedy/jump_game/__init__.py around lines 91 to 127, the jump_2
function lacks validation for an empty input list which can cause an IndexError;
add the same guard used in jump: check for an empty list (e.g., if not nums or
size == 0) immediately after computing size and return 0 (or the same expected
behavior as jump) before proceeding with the rest of the logic so no indexing
occurs on an empty array.

Comment on lines +88 to +89
* Jump Game
* [Test Jump Game](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/greedy/jump_game/test_jump_game.py)
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⚠️ Potential issue | 🟡 Minor

Fix markdown list indentation for consistency.

The indentation for the Jump Game entry is inconsistent with other entries in the file. Static analysis detected this as a formatting issue.

Apply this diff to fix the indentation:

   * Greedy
     * Gas Stations
       * [Test Gas Stations](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/greedy/gas_stations/test_gas_stations.py)
-    * Jump Game
-      * [Test Jump Game](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/greedy/jump_game/test_jump_game.py)
+    * Jump Game
+      * [Test Jump Game](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/greedy/jump_game/test_jump_game.py)
     * Majority Element
       * [Test Majority Element](https://github.com/BrianLusina/PythonSnips/blob/master/algorithms/greedy/majority_element/test_majority_element.py)

Committable suggestion skipped: line range outside the PR's diff.

🧰 Tools
🪛 markdownlint-cli2 (0.18.1)

88-88: Unordered list indentation
Expected: 2; Actual: 4

(MD007, ul-indent)


89-89: Unordered list indentation
Expected: 4; Actual: 6

(MD007, ul-indent)

🤖 Prompt for AI Agents
In DIRECTORY.md around lines 88 to 89, the "Test Jump Game" list item is
misindented relative to its parent "Jump Game" bullet; fix the markdown list
indentation so the test entry is a proper sub-item (align with other entries by
adding the same amount of leading spaces used for nested list items in this
file, e.g., two spaces) so both lines use consistent indentation.

@BrianLusina BrianLusina merged commit 57c3839 into main Dec 17, 2025
5 of 6 checks passed
@BrianLusina BrianLusina deleted the feat/algorithms-greed-jump-game branch December 17, 2025 13:59
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