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N-Queens + 3-in-line

Place N queens on an NxN chess board so that none of them attack each other (the classic n-queens problem). Additionally, please make sure that no three queens are in a straight line at ANY angle, so queens on A1, C2 and E3, despite not attacking each other, form a straight line.

Notes

  • Queen position is encoded as a 2d array, with [row][col] = 1 indicating a queen. We could use a different scheme, ie, [0 ... col] were the index is the row and the value is the column.
  • There are lots of different solutions, including a closed form (at least for NQueens only). I applied the solution that uses backtracking.

Running

 gradle run -PappArgs="[4]"

Testing

./gradlew test jacocoFullReport
open build/reports/jacoco/jacocoFullReport/html/index.html

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