Floyd's triangle

Revision as of 19:03, 24 June 2012 by rosettacode>Paddy3118 (New draft task and Python solution)
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Floyd's triangle lists the natural numbers in a right triangle aligned to the left where

  • the first row is just 1
  • successive rows start towards the left with the next number followed by successive naturals listing one more number than the line above.
Task
Floyd's triangle
You are encouraged to solve this task according to the task description, using any language you may know.

The first few lines of a Floyd triangle looks like this:

 1
 2  3
 4  5  6
 7  8  9 10
11 12 13 14 15

The task is to:

  1. Write a program to generate and display here the first n lines of a Floyd triangle.
    (Use n=5 and n=15 rows).
  2. Ensure that when displayed in a monospace font, the numbers line up in vertical rows as shown and that only one space separates the two largest numbers.

Python

<lang python>>>> def floyd(rowcount=5): rows = 1 while len(rows) < rowcount: n = rows[-1][-1] + 1 rows.append(list(range(n, n + len(rows[-1]) + 1))) return rows

>>> floyd() [[1], [2, 3], [4, 5, 6], [7, 8, 9, 10], [11, 12, 13, 14, 15]] >>> def pfloyd(rows=[[1], [2, 3], [4, 5, 6], [7, 8, 9, 10]]): colspace = [len(str(n)) for n in rows[-1]] for row in rows: print( ' '.join('%*i' % space_n for space_n in zip(colspace, row)))


>>> pfloyd() 1 2 3 4 5 6 7 8 9 10 >>> pfloyd(floyd(8))

1
2  3
4  5  6
7  8  9 10

11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 >>> pfloyd(floyd(15))

 1
 2   3
 4   5   6
 7   8   9  10
11  12  13  14  15
16  17  18  19  20  21
22  23  24  25  26  27  28
29  30  31  32  33  34  35  36
37  38  39  40  41  42  43  44  45
46  47  48  49  50  51  52  53  54  55
56  57  58  59  60  61  62  63  64  65  66
67  68  69  70  71  72  73  74  75  76  77  78
79  80  81  82  83  84  85  86  87  88  89  90  91
92  93  94  95  96  97  98  99 100 101 102 103 104 105

106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 >>> </lang>