Given the following truth table, provide the corresponding sum-of-product boolean function. Do not simplify the function. In the answer, sort each product in the order of "x, y, z". The products should appear in the same order as that of the corresponding inputs in the truth table from top down. For example, in x'y'z' + xyz, the product x'y'z' appears before xyz because in the truth table the input (0,0,0) (x'y'z' = 1 for this input) is in the first row and the input (1,1,1) is in the last row.

X	Y	Z	Output
0	0	0	1
0	0	1	1
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	1
1	1	0	1
1	1	1	1