Fibonacci Numbers 8. Without the oneSuppose you have a collection of rods of different integer lengths: 1 (cubes), 2, 3, 4, 5,etc. Have an indefinitely large number of strips of each length. But a bad guy steals allof your length 1. In how many possible ways can you build a row of length n with theremaining rods? By example,length 2: 2 (1 shape)length 3: 3 (1 shape)length 4: 4=2+2 (2 ways)length 5: 5=3+2=2+3 (3 ways).The ways in which a natural number n can be decomposed into the sum of other naturalnumbers are call the partitions of n. So, what we are asking is how many partitions canwe make of a number n, if we don't use 1, and the order of the addends matters. Yes,indeed, the answer is again on the Fibonacci numbers. Why?0:36 DM

SUMMARY: -Hence, we discussed all the points.

Suppose you have a collection of rods of different integer lengths: 1 (cubes), 2, 3, 4, 5, etc. Have an indefinitely large number of strips of each length. But a bad guy steals all of your length 1. In how many possible ways can you build a row of length n with the remaining rods? By example,

Suppose you have a collection of rods of different integer lengths: 1 (cubes), 2, 3, 4, 5, etc. Have an indefinitely large number of strips of each length. But a bad guy steals all of your length 1. In how many possible ways can you build a row of length n with the remaining rods? By example,

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Implement keys() for SeparateChainingHashST and LinearProbingHashST. 0 Add a method to LinearProbingHashST that computes the average cost of a search hit in the table, assuming that each key in the table is equally likely to be sought.
Write a client programs that use your edge-weighted digraph to produce edge-weighted digraphs that have a large percentage of negative weights but have at most a few negative cycles, for as large a range of values of V and E as possible.
implement a grid transformation that reduces the size of the grid, while retaining the information in it in python 3 __init__(self, size: int): create a square 2-D grid of ints with size rows and size columns. Initialize all values to 0. set_value(self, i: int, j: int, val: int): set the value in the i-th row and j-th column to val. squish(self, k:int): Sum up the elements of k by k blocks of the grid. This method does not return anything, but rather modifies the grid object. The size of the modified grid is n / k where n was the original size. You can assume that the grid's size is divisible by k.
You are given a grid of size n ×m and within that grid there is a horizontal rod (arbitrary widthbut height of 1). You aim is to locate it. The only thing you can use to find the location of the rod is makequeries of the form IsPresent (x1, y1, x2, y2) where x1 ≤x2, y1 ≤y2. This returns True if part of the rod ispresent in the grid from (x1, y1) to (x2, y2) and False if not. See figures below. Design an algorithm whichuses queries O(log(n +m)) times to find the location of the rod, i.e., the leftmost coordinates and rightmostcoordinates. Hint: consider using binary search in your algorithm.
Given an image represented by an NxN matrix, where each pixel in the image is 4bytes, write a method to rotate the image by 90 degrees. Can you do this in place?
: Design and implement a text-based Minesweeper game. Minesweeper is the classicsingle-player computer game where an NxN grid has B mines (or bombs) hidden across the grid. Theremaining cells are either blank or have a number behind them. The numbers reflect the number ofbombs in the surrounding eight cells. The user then uncovers a cell. If it is a bomb, the player loses.If it is a number, the number is exposed. If it is a blank cell, this cell and all adjacent blank cells (up toand including the surrounding numeric cells) are exposed. The player wins when all non-bomb cellsare exposed. The player can also flag certain places as potential bombs. This doesn't affect gameplay, other than to block the user from accidentally clicking a cell that is thought to have a bomb.(Tip for the reader: if you're not familiar with this game, please play a few rounds on line first.)
"""You are given an n x n 2D mat representing an image. Rotate the image by 90 degrees (clockwise). Follow up:Could you do this in-place?""" # clockwise rotate# first reverse up to down, then swap the symmetry# 1 2 3 7 8 9 7 4 1# 4 5 6 => 4 5 6 => 8 5 2# 7 8 9 1 2 3 9 6 3 def rotate(mat): if not mat: return mat mat.reverse() for i in range(len(mat)): for j in range(i): mat[i][j], mat[j][i] = mat[j][i], mat[i][j] return mat if __name__ == "__main__": mat = [[1, 2, 3], [4, 5, 6], [7, 8, 9]] print(mat) rotate(mat) print(mat).
import tkinter as tkfrom tkinter import ttkroot = tk.Tk()root.title("Escape from the Maze")root.geometry("600x300")frame = ttk.Frame(root, padding="200 100 200 100")frame.pack(fill=tk.BOTH, expand=True)def click_button1(): root.title("Wrong way!")def click_button2(): root.destroy()button1 = ttk.Button(frame, text="Go Left", command=click_button1)button2 = ttk.Button(frame, text="Go Right", command=click_button2)button1.pack()button2.pack()root.mainloop() Refer to Code Example 18-1: Which code snippet adds the frame to the root window? a. root.mainloop() b. root = tk.Tk()root.title("Escape from the Maze")root.geometry("600x300") c. frame = ttk.Frame(root, padding="200 100 200 100")frame.pack(fill=tk.BOTH, expand=True) d. import tkinter as tkfrom tkinter import ttk
I would like to represent the "residuals" part of the code (see below) as a surface (meshplot), in essence a 3D plot of 2D data # Import librariesimport matplotlib.pyplot as pltimport globfrom astropy.io import fitsfrom astropy.wcs import WCSimport numpy as npimport seaborn as sns # Initial plotfig, ax = plt.subplots(figsize=(7, 7)) # Data from the FITSdata_dir = glob.glob('/Users/petrderuyter/Desktop/harpn_sun_release_package_ccf_2018/2018-04-02/*.fits') #'/Users/xxxxxxxxxxxx/Desktop/harpn_sun_release_package_ccf_2018/2018-01-18/*.fits' # Empty lists for storagelams = []fluxs = [] # Read the FITS files and extract datafor file_path in data_dir: hdul = fits.open(file_path) data = hdul[1].data h1 = hdul[1].header flux = data[1] w = WCS(h1, naxis=1, relax=False, fix=False) lam = w.wcs_pix2world(np.arange(len(flux)), 0)[0] lams.append(lam) fluxs.append(flux) ax.plot(lam, flux) # Calculate mean fluxmean_ccf = np.mean(fluxs, axis=0) # New figure for the mean…
Implement image segmentation method into biomedical image data (any data, for example cancer image) in phyton notebook/google collab (.ipynb). Include the code and give report about the code and the result of image segmentation. Segmentation method must not be deep learning method, only computer vision and image processing!
Need help with the parts that say TODO in images , This may be needed scoresheet code below package edu.vtc.cis2271.yahtzee; import java.util.ArrayList;import java.util.HashSet;import java.util.List;import java.util.Set; public class Scoresheet{ private static final int SMALL_STRAIGHT_SCORE = 30;private static final int LARGE_STRAIGHT_SCORE = 40;private static final int FULL_HOUSE_SCORE = 25;private static final int YAHTZEE_SCORE = 50;private static final int TOP_HALF_BONUS = 35;private static final int TOP_HALF_BONUS_LEVEL = 63; @SuppressWarnings("javadoc")public enum Category {Ones,Twos,Threes,Fours,Fives,Sixes,SmallStraight,LargeStraight,ThreeOfKind,FourOfKind, FullHouse, Yahtzee,Chance} public Scoresheet(){_scores = new int[Category.values().length];_listeners = new ArrayList<>();for (int i = 0; i < _scores.length; i++)_scores[i] = -1;} public void addScoreSheetListener(ScoreSheetListener listener){_listeners.add(listener);} public void…
USING JAVA - create a program that has two frames. NumberFrameView and GraphFrameView. The first frame NumberViewFrame should have 3 labels: Red, Green, Blue, each followed by a text field to enter number values, and an Update Button. The second frame GraphView shows a simple bar graph, like a histogram(rectangles), that correspond and represent the 3 entered values for Red, Green, Blue from the first frame. When the update button is pressed from the first frame, the graph in the second frame should be redrawn. Follow the observer pattern. Store the data (numbers) in a model. Attach the graph view as a listener to the model (observer pattern). When a number is updated, the Number view should update the model, and the model should tell the graph view that a change has occured. As a result, the graph view should repaint itself. Please include at least four classes: NumberViewFrame, GraphViewFrame, Model, and Tester. Tester will have main method and initializes objects of…