solving for four-queens to develop an algorithm for this problemwe can first study smaller instance of the problem by using just four queens and board how would you go about solving this smaller problemyou may attempt to randomly place the queens on the board until you find solution that may work for this smaller case but when attempting to solve the original eight-queens problemthis approach may lead to chaos consider more organized approach to solving this problem since no two queens can occupy the same columnwe can proceed one column at time and attempt to position queen in each column we start by placing queen in the upper-left square or position ( using the - array notationwith this movewe now eliminate all squares horizontallyverticallyand diagonally from this position for the placement of additional queens since these positions are guarded by the queen we just placed with the first queen placed in the first columnwe now move to the second column the first open position in this column where queen can be placed without being attacked by the first queen we placed is at position ( we can place queen in this position and mark those squares that this queen guardsremoving yet more positions for the placement of additional queens we are now ready to position queen in the third column but you may notice there are no open positions in the third column thusthe placement of the first two queens will not result in valid solution at this pointyou may be tempted to remove all of the existing queens and start over but that would be drastic move insteadwe can employ the backtracking strategy as introduced in in