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This study aims to decipher whether the senior high school tracks, academic strands, and the Technical Vocational and Livelihood (TVL) specializations offered in the different congressional districts in the Province of Cebu match with the needs and demands of the local jobs and industries. In order to determine if there is a match or a mismatch, the study compares the top-5 in-demand jobs of 2017 and top 5 projected in-demand jobs (2018-2022)

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This paper further investigates the cyclic group ( ) * p Z with respect to the primitive roots or generators. The simulation algorithm that determines the generators and the number of generators, g of ( ) * p Z for a prime p is illustrated using Python programming.The probability of getting a generator g of ( ) * p Z , denoted by , is generated for prime p between 0 to 3000. The scatterplot is also shown that depicts the data points on the probability of the group of units with respect to the order p -1 of for prime p between 0 to 3000. The scatterplot results reveal that the probability of getting a generator of the group of units is fluctuating within the probability range of 0.20 to 0.50, for prime p modulus from 3 to 3000. These findings suggest that the proportion of the number of generators of the group of units modulo a prime of order p -1, though fluctuating, is bounded from 20% to 50% for prime p modulus from 3 to 3000.Keywords: Group of units modulo a prime, , primitive roots or generators of , , simulation algorithm, probability of getting a generator g of .

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