Concept explainers
Backtracking:
- Back tracking is a form of recursion.
- In this method it is possible to backtrack if traversal reaches a node which has no other way from that to find solution.
- It can be used to solve problems like eight queens puzzle and maze problem.
Trace of “putQueen()”:
putQueen(0)
col = 0;
putQueen(1)
col = 0;
col = 1;
col = 2;
putQueen(2)
col = 0;
col = 1;
col = 2;
col = 3;
col = 3;
putQueen(2)
col = 0;
col = 1;
putQueen(3)
col = 0;
col = 1;
col = 2;
col = 3;
col = 2;
col = 3;
col = 1;
putQueen(1)
col = 0;
col = 1;
col = 2;
col = 3;
putQueen(2)
col = 0;
putQueen(3)
col = 0;
col = 1;
col = 2;
.Q..
...Q
Q...
..Q.
col = 3;
col = 1;
col = 2;
col = 3;
col = 2;
putQueen(1)
col = 0;
putQueen(2)
col = 0;
col = 1;
col = 2;
col = 3;
putQueen(3)
col = 0;
col = 1;
..Q.
Q...
...Q
.Q..
col = 2;
col = 3;
col = 1;
col = 2;
col = 3;
col = 3;
putQueen(1)
col = 0;
putQueen(2)
col = 0;
col = 1;
col = 2;
putQueen(3)
col = 0;
col = 1;
col = 2;
col = 3;
col = 3;
col = 1;
putQueen(2)
col = 0;
col = 1;
col = 2;
col = 3;
col = 2;
col = 3;
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