ALGORITHM 93: GENERAL ORDER ARITHMETIC This algorithm performs arithmetic operations of different orders, with the order determined by the parameter 'op'. For op = 1, addition is performed. For op = 2, multiplication (repeated addition) is done. For op = 3, exponentiation (repeated multiplication) is performed, raising b to the power of c. For op = 4, tetration (repeated exponentiation) is done. For higher values of op, the algorithm performs higher-order operations like pentation, hexation, etc. The algorithm was originally written in FORTRAN for the Control Data 160 computer and was limited to tetration due to recursion constraints. ALGORITHM 94: COMBINATION This algorithm generates the next combination of N integers taken K at a time, given the previous combination. The K integers in the vector J(1)...J(K) range from 0 to N-1 and are always strictly increasing. If J is set to zero, the first combination is N-K,...,N-1. The algorithm uses a loop to generate the next combination by adjusting the values in the vector J. ALGORITHM 95: GENERATION OF PARTITIONS IN PART-COUNT FORM This algorithm generates subsequent partitions of a positive integer N into parts ≤ K. Each partition is represented by the integers c[1] through c[K], where c[j] is the number of parts equal to j. If G is false, the algorithm produces the first partition of N ones. If G is true, it produces the next partition. The algorithm uses a loop to adjust the values in the array c to generate the next partition. ALGORITHM 96: ANCESTOR This algorithm determines whether individual i is an ancestor of individual j by checking if there exists a sequence of parent relationships from i to j. The algorithm uses a nested loop to check all possible paths from i to j through intermediate individuals. ALGORITHM 97: SHORTEST PATH This algorithm finds the shortest path between points in a network. Initially, m[i, j] is the length of a direct link from point i to point j. If no direct link exists, m[i, j] is set to 10. The algorithm uses a nested loop to update the shortest path lengths based on the current values in the array m. ALGORITHM 98: EVALUATION OF DEFINITE COMPLEX LINE INTEGRALS This algorithm approximates complex line integrals using a partial Riemann-Stieltjes sum. The algorithm requires the procedures GAMMA(T, Z) to calculate z(t) on the path Γ and FUNCT(Z, F) to calculate function values. The algorithm uses a loop to evaluate the integral by dividing the interval into subintervals and calculating the sum of the function values multiplied by the length of each subinterval. ALGORITHM 99ALGORITHM 93: GENERAL ORDER ARITHMETIC This algorithm performs arithmetic operations of different orders, with the order determined by the parameter 'op'. For op = 1, addition is performed. For op = 2, multiplication (repeated addition) is done. For op = 3, exponentiation (repeated multiplication) is performed, raising b to the power of c. For op = 4, tetration (repeated exponentiation) is done. For higher values of op, the algorithm performs higher-order operations like pentation, hexation, etc. The algorithm was originally written in FORTRAN for the Control Data 160 computer and was limited to tetration due to recursion constraints. ALGORITHM 94: COMBINATION This algorithm generates the next combination of N integers taken K at a time, given the previous combination. The K integers in the vector J(1)...J(K) range from 0 to N-1 and are always strictly increasing. If J is set to zero, the first combination is N-K,...,N-1. The algorithm uses a loop to generate the next combination by adjusting the values in the vector J. ALGORITHM 95: GENERATION OF PARTITIONS IN PART-COUNT FORM This algorithm generates subsequent partitions of a positive integer N into parts ≤ K. Each partition is represented by the integers c[1] through c[K], where c[j] is the number of parts equal to j. If G is false, the algorithm produces the first partition of N ones. If G is true, it produces the next partition. The algorithm uses a loop to adjust the values in the array c to generate the next partition. ALGORITHM 96: ANCESTOR This algorithm determines whether individual i is an ancestor of individual j by checking if there exists a sequence of parent relationships from i to j. The algorithm uses a nested loop to check all possible paths from i to j through intermediate individuals. ALGORITHM 97: SHORTEST PATH This algorithm finds the shortest path between points in a network. Initially, m[i, j] is the length of a direct link from point i to point j. If no direct link exists, m[i, j] is set to 10. The algorithm uses a nested loop to update the shortest path lengths based on the current values in the array m. ALGORITHM 98: EVALUATION OF DEFINITE COMPLEX LINE INTEGRALS This algorithm approximates complex line integrals using a partial Riemann-Stieltjes sum. The algorithm requires the procedures GAMMA(T, Z) to calculate z(t) on the path Γ and FUNCT(Z, F) to calculate function values. The algorithm uses a loop to evaluate the integral by dividing the interval into subintervals and calculating the sum of the function values multiplied by the length of each subinterval. ALGORITHM 99