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- AIM: TO SWAP 2 NUMBERS WITHOUT USE OF TEMPORARY VARIABLE THEORY: C is a general-purpose, middle level, procedural computer programming language supporting structured programming, lexical variable scope, and recursion, with a static type system. C is an imperative procedural language. Let a and b be variables in which integral values are being inserted . tw numbers can be swapped without using a temporary variable by using arithmetic operations. Another alternative method is by use of logical operators. ALGORITHM: STEP 1: Start STEP 2:Print "Enter two numbers'" STEP 3: Input x,y STEP 4:Print “ Numbers x,y before swapping STEP 5: x x+y STEP 6: y<– x-y STEP 7: x x-y STEP 8: Print “ Numbers x,y after swapping " STEP 9: StopTrue or False 1. Matrices are often represented by single small letters a, b, c... etc.2. Two m x n matrices A and B are equal if aij=bij for each i & j. (i.e., the two matrices havesame size, and all the corresponding elements are equal).3. Matrices A & B are said to be conformable in the order AB if, and only if, the number ofrows in A is equal to the number of columns in B.4. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2columns. The product size of AB is a 4 x 2 matrix.5. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in arow/column by a non-zero constant and adding the result to the corresponding entries inanother row/column. Then, det(B) = det(A).III. Integer Riddle To solve the Integer Riddle, fill in the answers to the clues, with one letter in each space. Then transfer those letters to the boxes with the matching numbers below. When all the boxes are filled in, you will find the answer to the Integer Riddle. (Hint: These are codes translations a number and letters into electrical signals or impulses.) 1. --- smallest element of data 12 11 2. a unit of length equal to 0.9144 m/3 ft 6 4 5 7 3. a strong alcoholic drink distilled from grain 9 8 3 and flavored juniper berries a linking verb 3rd person singular present of be 4. 10 12 1 2 3 4 5 6 7 8 9 10 11 12
- Consider the following Tarski world: A C DPython only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…Problem B. Musical Key ConversionThe chromatic scale is a 12-note scale in music in which all notes are evenly spaced: that is, the ratio of the frequency between any two consecutive notes is constant. The notes are typically labeled in the following sequence: A, A#, B, C, C#, D, D#, E, F, F#, G, G# After G#, the labels loop back and start over with A (one octave higher). To convert between musical keys, you can shift all notes in a piece of music a constant number of steps along the scale above. For example, the sequence of notes E, E, F, G, G, F, E, D, C, C, D, E, E, D, D can be converted to another musical key by shifting everything up three steps: E, E, F, G, G, F, E, D, C, C, D, E, E, D, D G, G, G#, A#, A#, G#, G, F, D#, D#, F, G, G, F, F Notice that G was converted to A#, since going three steps up required us to loop off of the top of the scale back to the bottom: G -> G# -> A -> A#. Technically we should note that this would be A# of the next octave up, but we’ll…
- Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…4. Which of the following statements is NOT correct? (a) If LR is regular, then L is regular. ( b) If L is regular, then L is regular. (c) If L∗ is regular, then L is regular. ( d) If L is finite, then L is regular1. [LO 1, LO 2, LO 3 & LO 4, Treasure Hunter Description You are in front of a cave that has treasures. The cave can be represented in a grid which has rows numbered from 1 to , and columns numbered from 1 to . For this problem, define (x,y ) as a tile that is in the the-x row and the y-row. There is a character in each tile, which indicates the type of that tile. Tiles can be floors, walls, or treasures which are represented respectively by the characters '.' (period), '#' (hashmark), and '*' (asterisk). You can go through the floor tiles and treasures, but you can't get past the wall tiles.Initially, you are in a tile (??, Sy). You want to visit all the treasure squares, and retrieve the treasure. When you visit a treasure tile, the treasure is instantly retrieved, and the tile turns into a floor.In a move, if you are on a tile (?,y), then you can move to the right tile above (?-1,y), right (?,y + 1), down (? + 1, ), and left (?, 1) of the current tile. The tile you visit must…
- A) quadrant [★★] Complete the quadrant function below, which should return the quadrant of the given x, y point according to the diagram on the right (borrowed from Wikipedia). Points that lie on an axis do not belong to any quandrant. Hints: (a) define a helper function for the sign of an integer, (b) match against a pair. type quad = I | II | III | IV type sign = Neg | Zero | Pos let sign (x:int) : sign = ... let quadrant : int*int -> quad option = fun (x,y) -> match ... with | ... -> Some I | ... -> Some II | ... -> Some III | ... -> Some IV | ... -> None B) quadrant when [★★] Rewrite the quadrant function to use the when syntax. You won’t need your helper function from before. let quadrant_when : int*int -> quad option = function | ... when ... -> Some I | ... when ... -> Some II | ... when ... -> Some III | ... when ... -> Some IV | ... -> None please use Ocaml for the code(c) D = the set of positive integers R = {R1, R2} R1 = the arithmetic predicate + “x is not equal to y" R2 = {[2]} p maps to R1 and q maps to R2 %3D (d) D = the set of positive integers R = {R1, R2} R1 = the arithmetic predicate s "x is less than or equal to y" R2 = the unary arithmetic predicate A(y).{y>0} “y is greater than 0" p maps to R1 and q maps to R2 %3DYou are the chief commander of US Army; you have been deployed in an ongoing war training of defusing the mine. Mines are placed on the ground which can be considered as a gird of size N*M. Each block (i, j) has a mine in it if and only if the summation of the block coordinates is divisible by 2. Your task is to move from the first row to the last row. The mines will not blow if the given rules are followed: • If you are on even row you can move to any cell that is in the neighborhood • If you are on odd row, you can only go the odd row that has mine on that and same with the unmined row. You have to develop a python program to calculate the number of ways to reach row number N starting from row number 1. Test Cases: 4 8 Output: 10