Figure 1: Balanced mosaic of 4 x4 Given a mosaic M from n x nwith some unpainted cells, we will say that Mit is colorable if there is a way to color the empty cells so that the resulting mosaic is balanced. Build a formula $EL (P)such that

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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A mosaic is a matrix of nxn in which each cell is painted with some color. If we have
n colors, we say that a mosaic is balanced if each color appears exactly once in each row and
each column. For example, the following is a balanced mosaic of 4x4:
Figure 1: Balanced mosaic of 4x4
Given a mosaic Mfrom n x n with some unpainted cells, we will say that Mit is colorable if
there is a way to color the empty cells so that the resulting mosaic is balanced. Build a formula
PEL (P)such that
pit's satisfying + Mit is colorable
and prove that your construction is correct.
Transcribed Image Text:A mosaic is a matrix of nxn in which each cell is painted with some color. If we have n colors, we say that a mosaic is balanced if each color appears exactly once in each row and each column. For example, the following is a balanced mosaic of 4x4: Figure 1: Balanced mosaic of 4x4 Given a mosaic Mfrom n x n with some unpainted cells, we will say that Mit is colorable if there is a way to color the empty cells so that the resulting mosaic is balanced. Build a formula PEL (P)such that pit's satisfying + Mit is colorable and prove that your construction is correct.
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