3. A safe is locked by a combination of of four binary digits (that is, 0 or 1), but the owner has forgotten the combination. The safe is designed in such a way that no matter how many digits have been pressed, if the correct combination of three digits is pressed at any point, then the safe automatically opens (there is no "enter" key). Our goal is to find the minimum number of digits that one needs to key in in order to guarantee that the safe opens. In other words, we wish to find the smallest possible length of a binary sequence containing every four-digit sequence in it. (a) Create a digraph whose vertex set consists of three-digit binary sequences. From each vertex labelled ryz, there is one outgoing edge (labelled 0) leading to vertex yz0, and another outgoing edge (labelled 1) leading to vertex yzl.
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- A fish-finder is a device used by anglers to find fish in a lake. If the fish-finder finds a fish, it will sound an alarm. It uses depth readings to determine whether to sound an alarm. For our purposes, the fish-finder will decide that a fish is swimming past if:there are four consecutive depth readings which form a strictly increasing sequence (such as 3 4 7 9) (which we will call "Fish Rising"), orthere are four consecutive depth readings which form a strictly decreasing sequence (such as 9 6 5 2) (which we will call "Fish Diving"), orthere are four consecutive depth readings which are identical (which we will call "Constant Depth").All other readings will be considered random noise or debris, which we will call "No Fish."Create a Python program called "fishfinder_firstname_lastname" that takes 1 input of string of 4 numbers separated with comma. Your program must display "Fish Rising", "Fish Diving.", "Fish At Constant Depth" or "No Fish".Example:30,10,20,20 Must display No…Java Program Scenario: A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If the locker is open, the student closes it; if it is closed, the student opens it. After all the students have taken their turns, some of the lockers are open and some are closed. Write a program that prompts the user to enter the number of lockers in a school. After the game is over, the program outputs the number of lockers and the…Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…
- 6. A thief tries to open a door with a code: it has 12 press-buttons labeled 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, #, and expects six digits followed by either # or *. How many codes are possible: (i) with no further indication? (ii) if no number is repeated? By observing the buttons, one can try to guess the frequency of the use of each button. Indeed, thief notices that the buttons 4, 6, 7, 8, * are never used (not in the code), the button 1 appears at least twice, and there is no guarantee for the other digits. (iii) How many codes are possible with this new hint? (iv) How many codes are possible if the thief realizes also that 1 appears strictly more times than 9, which appears strictly more times than 2?Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…A safe is locked by a combination of of four binary digits (that is, 0 or 1), but theowner has forgotten the combination. The safe is designed in such a way that nomatter how many digits have been pressed, if the correct combination of three digitsis pressed at any point, then the safe automatically opens (there is no ”enter” key).Our goal is to find the minimum number of digits that one needs to key in in order toguarantee that the safe opens. In other words, we wish to find the smallest possiblelength of a binary sequence containing every four-digit sequence in it.(a) Create a digraph whose vertex set consists of three-digit binary sequences. Fromeach vertex labelled xyz, there is one outgoing edge (labelled 0) leading to vertexyz0, and another outgoing edge (labelled 1) leading to vertex yz1.(b) Explain why every edge represents a four digit sequence and why an Euleriantour of this graph represents the desired sequence of keystrokes.(c) Find the minimum number of digits that one…
- A hungry mouse wants to eat all four fruits in a maze such as the one below, in as few moves as possible.. At each turn the mouse can move any number of squares in one of the directions up, down, left or right, but it is not allowed to enter (or jump over) any walls (i.e., the black squares). Thus, the mouse moves just like a rook in chess. To eat a fruit, the mouse has to stop at that square. Assume that the maze has 4 fruits, and the size of b xh squares. 1. Give a suitable representatión of the states in this searching problem. 2. How many possible actions can the mouse perform at each move? (1.e., what is the branching factor?)Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Two cells are adjoining in the event that they share a side. Thusly, every cell (x, y) has precisely three neighbors: (x+1, y) (x−1, y) (x+1, y−1) in case x is even and (x−1, y+1) in any case. At first a few cells are contaminated, all the others are sound. The course of recuperation starts. Each second, for precisely one cell (despite the fact that there may be different cells that could change its state) one of the accompanying occurs: A sound cell with something like 2 contaminated neighbors likewise becomes tainted. A contaminated cell with something like 2 solid neighbors likewise becomes sound. In the event that no such cell exists, the course of recuperation stops. Patient is considered recuperated if the course of recuperation has halted and every one of the cells are solid. We're keen on a most dire outcome imaginable: is it conceivable that the patient…There are four people who want to cross a rickety bridge; they all begin on the same side. You have 17 minutes to get them all across to the other side. It is night, and they have one flashlight. A maximum of two people can cross the bridge at one time. Any party that crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth; it cannot be thrown, for example. Person 1 takes 1 minute to cross the bridge, person 2 takes 2 minutes, person 3 takes 5 minutes, and person 4 takes 10 minutes. A pair must walk together at the rate of the slower person's pace. Write the specification of an algorithm that solves the problem.
- Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given a positive number x. Observe the littlest positive integer number that has the amount of digits equivalent to x and all digits are unmistakable (extraordinary). Input The principal line contains a solitary positive integer t (1≤t≤50) — the number of experiments in the test. Then, at that point, t experiments follow. Each experiment comprises of a solitary integer number x (1≤x≤50). Output Output t replies to the experiments: on the off chance that a positive integer number with the amount of digits equivalent to x and all digits are diverse exists, print the littlest such number; in any case print - 1.A typical roulette wheel used in a casino has 38 slots that are numbered 1,2,3,....,36,0,00, respectively. Half of the remaining slots are red and half are black. Also, half of the integers between 1 and 36 inclusive are odd, half are even, and 0 and 00 are defined to be neither odd nor even. A ball is rolled around the wheel and ends up in one of the slots; we assume each slot has equal probability of 1/38, and we are interested in the number of the slot into which the ball falls. (a)Define the Sample space S. (b)Let A = {0,00}. Give the value of P(A). (c) Let B = {14,15,17 18}. Give the value of P(B). (d) Let D = {x:x is odd}. Give the value of P(D).A Rajesh teaches a cooking class. The course is attended by NN students, numbered 11 to NN. The cook must participate in the presence before each class, i.e. call out the names of the students one by one and indicate which students are present. Each student has a first and last name. To save time, Rajesh only wants to call up students' first names. However, if there are multiple students with the same first name, the Rajesh must call out the full names (first and last names) of all those students. For any student who does not share a first name with any other student, the cook can still only call that student's first name. Help the Rajesh decide for each student whether to call that student's full name or just their first name. Note: Please Answer in java language only. Input 1 1 hasan jaddouh Output hasan