# Eye and Identity

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#
#   identity
#   The identity tool returns an identity array. An identity array is a square matrix with all the main diagonal
#   elements as 1 and the rest as 0. The default type of elements is float.
#
#   import numpy
#   print numpy.identity(3) #3 is for  dimension 3 X 3
#
#   #Output
#   [[ 1.  0.  0.]
#    [ 0.  1.  0.]
#    [ 0.  0.  1.]]
#
#   eye
#   The eye tool returns a 2-D array with 1's as the diagonal and 0's elsewhere. The diagonal can be main,
#   upper or lower depending on the optional parameter k. A positive k is for the upper diagonal,
#   a negative k is for the lower, and a 0k (default) is for the main diagonal.
#
#   import numpy
#   print numpy.eye(8, 7, k = 1)    # 8 X 7 Dimensional array with first upper diagonal 1.
#
#   #Output
#   [[ 0.  1.  0.  0.  0.  0.  0.]
#    [ 0.  0.  1.  0.  0.  0.  0.]
#    [ 0.  0.  0.  1.  0.  0.  0.]
#    [ 0.  0.  0.  0.  1.  0.  0.]
#    [ 0.  0.  0.  0.  0.  1.  0.]
#    [ 0.  0.  0.  0.  0.  0.  1.]
#    [ 0.  0.  0.  0.  0.  0.  0.]
#    [ 0.  0.  0.  0.  0.  0.  0.]]
#
#   print numpy.eye(8, 7, k = -2)   # 8 X 7 Dimensional array with second lower diagonal 1.
#
#   Task
#   Your task is to print an array of size X with its main diagonal elements as 's and 's everywhere else.
#
#   Input Format
#   A single line containing the space separated values of N and M.
#   N denotes the rows.
#   M denotes the columns.
#
#   Output Format
#   Print the desired N X M array.
#
#   Sample Input
#   3 3
#
#   Sample Output
#   [[ 1.  0.  0.]
#    [ 0.  1.  0.]
#    [ 0.  0.  1.]]
#
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import numpy
