Python simple problems
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The eight queens problem involves placing eight queens on an 8x8 chessboard such that no two queens attack each other. A table shows the number of solutions for placing n queens on an n x n board from n=1 to 10 and 24 to 27, with a notable lack of a formula for exact solutions. The 27x27 board is the highest-order board completely enumerated so far.
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Python simple problems
- 1. SIMPLE PYTHON PROBLEMS 8queenproblem The eight queensproblemisthe problem of placing eight queensonan 8×8 chessboardsuch that none of themattackone another(no two are in the same row, column, or diagonal). More generally,the n queensproblemplacesn queenson an n×n chessboard. There are different solutions for the problem. Counting solutions The following table givesthe numberof solutions for placing n queenson an n ×n board, bothfundamental and allfor n=1–10, 24– 27. n: 1 2 3 4 5 6 7 8 9 10 .. . 24 25 26 27 fundame ntal: 1 0 0 1 2 1 6 12 4 6 92 ... 28,439,272,95 6,934 275,986,683,74 3,434 2,789,712,466,51 0,289 29,363,791,967,6 78,199 all: 1 0 0 2 1 0 4 4 0 9 2 35 2 72 4 ... 227,514,171,97 3,736 2,207,893,435,8 08,352 22,317,699,616,3 64,044 234,907,967,154, 122,528 Note that the sixqueenspuzzle has fewersolutions than the five queenspuzzle. There is currentlyno known formula for the exact numberof solutions, or evenfor itsasymptotic behavior.Currently the 27x27 board is the highest-orderboardthat has beencompletely enumerated.Finding asingle solutionfor a biggerboard isnot difficult
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