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| 79 | 79 | "bucket": "Bucket Sort", | 80 | 80 | "bubble": "Bubble Sort", | 81 | 81 | "comb": "Comb Sort", | 82 | | - "counting": "Counting Sort", | | 82 | + "counting": "Counting Sort", | 83 | 83 | "cycle": "Cycle Sort", | 84 | 84 | "heap": "Heapsort", | 85 | 85 | "insertion": "Insertion Sort", | 86 | 86 | "merge": "Merge Sort", | | 87 | + "pigeonhole": "Pigeonhole Sort", | 87 | 88 | "quick": "Quicksort", | 88 | 89 | "radix": "Radix Sort", | 89 | 90 | "selection": "Selection Sort", | | 112 | 113 | "etc": { | 113 | 114 | "list": { | 114 | 115 | "flood_fill": "Flood Fill", | 115 | | - "cellular_automata": "Cellular Automata", | 116 | | - "create_maze": "Create Maze" | | 116 | + "cellular_automata": "Cellular Automata", | | 117 | + "create_maze": "Create Maze", | | 118 | + "magic_square": "Magic Square" | 117 | 119 | }, | 118 | 120 | "name": "Uncategorized" | 119 | 121 | } | |
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| | 1 | +var i = Math.floor (n/2); | | 2 | +var j = n-1; | | 3 | + | | 4 | +for ( var num = 1; num <= n*n; ) { | | 5 | + logTracer._print ( 'i = ' + i ); | | 6 | + logTracer._print ( 'j = ' + j ); | | 7 | + | | 8 | + if( i == -1 && j == n ) { | | 9 | + j = n - 2; | | 10 | + i = 0; | | 11 | + | | 12 | + logTracer._print ( 'Changing : ' ); | | 13 | + logTracer._print ( 'i = ' + i ); | | 14 | + logTracer._print ( 'j = ' + j ); | | 15 | + } else { | | 16 | + if ( j == n ) { | | 17 | + j = 0; | | 18 | + logTracer._print ( 'Changing : ' + 'j = ' + j); | | 19 | + } | | 20 | + if ( i < 0 ) { | | 21 | + i = n-1; | | 22 | + logTracer._print ( 'Changing : ' + 'i = ' + i ); | | 23 | + } | | 24 | + } | | 25 | + | | 26 | + if ( A[i][j] > 0 ) { | | 27 | + logTracer._print ( ' Cell already filled : Changing ' + ' i = ' + i + ' j = ' + j ); | | 28 | + j -= 2; | | 29 | + i++; | | 30 | + continue; | | 31 | + } else { | | 32 | + A[i][j] = num++; | | 33 | + tracer._notify( i, j, A[i][j] )._wait (); | | 34 | + tracer._denotify ( i, j ); | | 35 | + tracer._select ( i, j )._wait (); | | 36 | + } | | 37 | + j++; | | 38 | + i--; | | 39 | +} | | 40 | + | | 41 | +logTracer._print ( 'Magic Constant is ' + n*(n*n+1)/2 ); |
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| | 1 | +var n = 7; | | 2 | +var A = new Array (n); | | 3 | +for (var i = n - 1; i >= 0; i--) { | | 4 | + A[i] = new Array (n); | | 5 | +} | | 6 | + | | 7 | +for ( var i = n -1; i >= 0; i-- ) { | | 8 | + for ( var j = n - 1; j >= 0; j-- ) { | | 9 | + A[i][j] = 0; | | 10 | + } | | 11 | +} | | 12 | + | | 13 | +var tracer = new Array2DTracer ('Magic Square')._setData(A); | | 14 | +var logTracer = new LogTracer ( 'Console' ); |
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| | 1 | +{ | | 2 | + "Magic Square": "In recreational mathematics, a magic square is an arrangement of distinct numbers (i.e., each number is used once), usually integers, in a square grid, where the numbers in each row, and in each column, and the numbers in the main and secondary diagonals, all add up to the same number, called the magic constant. A magic square has the same number of rows as it has columns, and in conventional math notation, 'n' stands for the number of rows (and columns) it has. Thus, a magic square always contains n2 numbers, and its size (the number of rows [and columns] it has) is described as being of order n. A magic square that contains the integers from 1 to n2 is called a normal magic square. (The term magic square is also sometimes used to refer to any of various types of word squares.)", | | 3 | + "Complexity": { | | 4 | + "time": " O(N<sup>2</sup>)", | | 5 | + "space": "O(N<sup>2</sup>)" | | 6 | + }, | | 7 | + "References": [ | | 8 | + "<a href='https://en.wikipedia.org/wiki/Magic_square'>Wikipedia</a>" | | 9 | + ], | | 10 | + "files": { | | 11 | + "basic": "Magic Square" | | 12 | + } | | 13 | +} |
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| | 1 | +var min = A[0]; | | 2 | +var max = A[0]; | | 3 | + | | 4 | +for( var i = 1; i < N; i++ ) { | | 5 | + if( A[i] < min ) { | | 6 | + min = A[i]; | | 7 | + } | | 8 | + if( A[i] > max ) { | | 9 | + max = A[i]; | | 10 | + } | | 11 | +} | | 12 | +var range = max - min + 1; | | 13 | + | | 14 | +var holes = new Array ( range ); | | 15 | +for ( var i = 0; i < range; i++ ) { | | 16 | + holes[i] = []; | | 17 | +} | | 18 | +tracer2._setData( holes ); | | 19 | + | | 20 | +logTracer._print ( 'Filling up holes' ); | | 21 | +for ( var i = 0; i < N ; i++ ) { | | 22 | + tracer1._select ( i )._wait (); | | 23 | + | | 24 | + holes[ A[i] - min ].push( A[i] ); | | 25 | + | | 26 | + tracer2._setData( holes ); | | 27 | + tracer1._deselect ( i ); | | 28 | +} | | 29 | + | | 30 | +logTracer._print ( 'Building sorted array' ); | | 31 | +var k = 0; | | 32 | +for ( var i = 0; i < range ; i++ ) { | | 33 | + for (var j = 0; j < holes[i].length; j++ ) { | | 34 | + tracer2._select ( i, j )._wait (); | | 35 | + A[k++] = holes[i][j]; | | 36 | + tracer1._notify ( k-1, A[k-1] )._wait (); | | 37 | + tracer2._deselect ( i, j ); | | 38 | + tracer1._denotify ( k-1 ); | | 39 | + } | | 40 | +} | | 41 | + | | 42 | +logTracer._print ( 'Sorted array is ' + A ); |
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| | 1 | +var A = Array1D.random(7); | | 2 | +var N = A.length; | | 3 | + | | 4 | +var tracer1 = new Array1DTracer ( 'Array' )._setData ( A ); | | 5 | +var tracer2 = new Array2DTracer ( 'Holes' ); | | 6 | +var logTracer = new LogTracer ( 'Console' ); |
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| | 1 | +{ | | 2 | + "Pigeonhole Sort": "Pigeonhole sorting is a sorting algorithm that is suitable for sorting lists of elements where the number of elements (n) and the number of possible key values (N) are approximately the same.", | | 3 | + "Complexity": { | | 4 | + "time": " O(n + N)", | | 5 | + "space": "O(n)" | | 6 | + }, | | 7 | + "References": [ | | 8 | + "<a href='https://en.wikipedia.org/wiki/Pigeonhole_sort'>Wikipedia</a>" | | 9 | + ], | | 10 | + "files": { | | 11 | + "basic": "Pigeonhole Sort" | | 12 | + } | | 13 | +} |
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