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October 18, 2014 18:04
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Matrix spiral print
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| def spiral(M): | |
| """ | |
| Given a matrix M (mxn) print out the elements in spiral order | |
| Ex: | |
| 30 42 30 55 31 | |
| 21 30 60 24 38 | |
| 11 22 33 44 55 | |
| prints: | |
| 30 42 30 55 31 38 55 44 33 22 11 21 30 60 24 | |
| """ | |
| m = len(M) | |
| n = len(M[0]) | |
| total_elements = m * n | |
| s = 0 # top boundary of the matrix | |
| e = m-1 # bot boundary of the matrix | |
| l = 0 | |
| r = n-1 | |
| elems = [] | |
| # bulk of the body | |
| while True: | |
| # print s, e, l, r | |
| # top row right | |
| for j in xrange(s, r): | |
| elems.append(M[s][j]) | |
| if len(elems) >= total_elements: | |
| break | |
| # right col up | |
| for i in xrange(s, e+1): | |
| elems.append(M[i][r]) | |
| if len(elems) >= total_elements: | |
| break | |
| # bot row left | |
| for j in xrange(r-1, l, -1): | |
| elems.append(M[e][j]) | |
| if len(elems) >= total_elements: | |
| break | |
| # left col down | |
| for i in xrange(e, s, -1): | |
| elems.append(M[i][l]) | |
| if len(elems) >= total_elements: | |
| break | |
| s += 1 | |
| e -= 1 | |
| l += 1 | |
| r -= 1 | |
| return elems | |
| M1 = [[30, 42, 30, 55, 31], | |
| [21, 30, 60, 24, 38], | |
| [11, 22, 33, 44, 55],] | |
| M2 = [[1,2,3,4,5], | |
| [16,17,18,19,6], | |
| [15, 24, 25, 20, 7], | |
| [14, 23, 22, 21, 8], | |
| [13, 12, 11, 10, 9]] | |
| M3 = [[1,2,3,4,5]] | |
| M4 = [[1,2,3,4,5], | |
| [10, 9, 8, 7, 6]] | |
| M5 = [[1,2], | |
| [10,3], | |
| [9, 4], | |
| [8, 5], | |
| [7, 6]] | |
| A1 = [30, 42, 30, 55, 31, 38, 55, 44, 33, 22, 11, 21, 30, 60 ,24] | |
| A2 = [i for i in range(1, 26)] | |
| A3 = [1,2,3,4,5] | |
| A4 = [i for i in range(1, 11)] | |
| A5= [i for i in range(1, 11)] | |
| assert(spiral(M1) == A1) | |
| assert(spiral(M2) == A2) | |
| assert(spiral(M3) == A3) | |
| assert(spiral(M4) == A4) | |
| assert(spiral(M5) == A5) |
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