Problem. Powered number (Spot Write Java program which can input positive interesadach that I 1000000000 and 0-b210000) tested and print the Notice that the may be a very large, to sing pritive typ like it or long mach probably will not be sufficient in answering the problem A samples may look like Enter the value of a Enter the value of The results 8319841747261438936505541918917361 Problem - Fonec segere polit) The honacci sequence such that each term (except for the first two termi) evaluated the sum of the two forms that precedent. The first two tomar I, the sequence look like this: 1.1.2.35 8,13,214 We a la program which roads an input an imagervallen och hur 100) and output all the term of the Fibonacci gene that consist of digte A sample execution may book like Enter the value of The Fibonacci sequence terms with 6 digits are: 121903 19-418 317811 514229 832540 Problem.3. DNA seqme aperations de The DNA or dowrytime acid is thereditary material in almorati (including mm) and carries all the informatie tot how living thing will look and function. The Information in DNA is stored as a code made up of four chemical baserade Alte punine (G) and shine (T) DNA buses pair up with each other. A widwin Gom is called ADNA sequence by represented as a string for cumple GAATGGGTC Design a Java clames Descuence Operation, which should contain these static methode public static String complementary Sequence(String initialDaSequence) which means the plementy DNA sequence of the DNA sequence Futempleathe TOCAGTTACGC the dood be AGGTCAATGCO - public static charmos frequentlase(String daSequence) which finds the most frequent base le. the base that has the largest number of appearances. For example of the input is TCCAGTTACGC, the computer Coffee you may sumy of the bases having the same roll - public static string Insert(String initialnaSequence. String sequencefonsert, int position) which returns a DNA se formed by senting the given the the initial DNA ce cumple the outcomes of TOCAGTTACGC as the tale GATCGA ( the sequence to me and the position, then the whole TOCATTOATCOAACOC public static String renove(String InitialnaSequence, String patternToRenove) which returns a INA sequence formed by removing the first occurrence of the DNA puteremtDNA sequence public static String decongress(String compressed inaequence) which form standard DNA sequence from a compressed sequence. A compressed DNA sequence may have muskettich shows the preceding to topested Foreca if the green 1 ADICTGN AUCTA, then the the DNA once will be: ADDDCTOGGGDAGDAGDAGCTTA. For simplicity, just comide the ces without met