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The basic backtracking algorithm provides a framework for solving problems using the backtracking technique. It follows a recursive approach to explore all possible solutions to a problem by creating a search tree. At each step, it makes a choice and proceeds to the next step until a solution is found or all possibilities have been exhausted.
The general structure of the basic backtracking algorithm can be defined using the following steps:
- Define a backtrack function that takes the necessary parameters.
- Check for the base case(s) that indicate a solution has been found.
- Check for any constraints that need to be satisfied at the current step.
- Make a choice to move to the next step.
- Recursively call the backtrack function for the next step.
- Undo the previous choice before backtracking to the previous step.
Let's fill in the blank for step 3. At step 3, we need to check for any ___ that need to be satisfied at the current step.
Write the missing line below.