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"Snakes and Ladders: The Quickest Way Up" problem, we can use the Breadth-First Search (BFS) algorithm. Below is the PHP solution for this problem:
<?phpfunctionquickestWayUp($ladders,$snakes){$board=array_fill(1,100,0);// Set up laddersforeach($laddersas$ladder){$board[$ladder[0]]=$ladder[1]-$ladder[0];}// Set up snakesforeach($snakesas$snake){$board[$snake[0]]=$snake[1]-$snake[0];}// BFS to find the shortest path$queue=[[1,0]];$visited=array_fill(1,100,false);$visited[1]=true;while(!empty($queue)){list($current,$moves)=array_shift($queue);for($dice=1;$dice<=6;$dice++){$next=$current+$dice;if($next<=100){$next+=$board[$next];if($next==100){return$moves+1;}if(!$visited[$next]){$visited[$next]=true;array_push($queue,[$next,$moves+1]);}}}}return-1;}?>
Explanation:
Initialization:
The board array stores the effect of ladders and snakes on each cell.
queue is used for BFS, initialized with the starting position (1, 0) representing the start of the board and 0 moves.
visited array keeps track of visited cells to avoid revisiting them.
Setup Ladders and Snakes:
For ladders, the board at the start cell of the ladder has the value of the end cell minus the start cell.
Similarly, for snakes, the board at the start cell of the snake has the value of the end cell minus the start cell.
BFS to Find Shortest Path:
Dequeue the current position and number of moves.
For each dice roll (1 to 6), calculate the next position.
Apply any ladder or snake effect.
Check if the next position is 100 (end of the board).
If not visited, mark it as visited and enqueue it with incremented move count.
Handling Input:
The readInput function reads the input from standard input and processes it.
For each test case, read the number of ladders and snakes, and their respective positions.
Call the quickestWayUp function for each test case and print the result.
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Snakes and Ladders: The Quickest Way Up
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"Snakes and Ladders: The Quickest Way Up" problem, we can use the Breadth-First Search (BFS) algorithm. Below is the PHP solution for this problem:
Explanation:
Initialization:
board
array stores the effect of ladders and snakes on each cell.queue
is used for BFS, initialized with the starting position (1, 0) representing the start of the board and 0 moves.visited
array keeps track of visited cells to avoid revisiting them.Setup Ladders and Snakes:
BFS to Find Shortest Path:
Handling Input:
readInput
function reads the input from standard input and processes it.quickestWayUp
function for each test case and print the result.