[Verse 1]
Graph traversal with precision, not just wandering blind
Dijkstra's cousin with ambition, heuristics on my mind
Start node locked, goal coordinates burning in my sight
F equals G plus H, that formula ignites
G cost measures distance traveled from the starting gate
H estimates remaining, never overestimate
Open list collecting candidates, closed list tracking done
Priority queue organizing, lowest F cost won
[Chorus]
A-star navigates the maze, heuristic guides the way
F equals G plus H, that's the price we pay
Admissible estimation keeps optimality tight
Open closed priority, searching through the night
[Verse 2]
Manhattan distance for the grid, Euclidean for the plane
Heuristic function must be smart but never overstrain
Pop the lowest from the queue, expand those neighbor nodes
Calculate the G cost fresh, see where the path explodes
If the neighbor's unexplored, straight to open list it goes
If it's there but cost improved, update paths that we chose
Closed list holds the processed, never touch them twice
Efficiency demanding, algorithms precise
[Chorus]
A-star navigates the maze, heuristic guides the way
F equals G plus H, that's the price we pay
Admissible estimation keeps optimality tight
Open closed priority, searching through the night
[Bridge]
Consistent heuristic guarantees the shortest route
Triangle inequality, mathematical pursuit
When goal node hits the closed list, victory declared
Backtrack through parent pointers, optimal path prepared
[Outro]
Informed search revolution, beats the blind approach
Memory trades with time savings, strategic reproach
A-star algorithm mastery, pathfinding supreme