There are exactly N people living in a certain parallel universe. The Ith of these N people claim to be the parent of exactly Ai off these N people. However, some of these people may be lying - the person may either be telling the truth (in which case they have exactly Ai children) or lying down (in which case they can have any number of children). It is known that each person has at most one parent. Furthermore, as one would expect, a person's child is not allowed to also be their ancestor. What is the maximum possible number of truth tellers in this universe

There are exactly N people living in a certain parallel universe. The Ith of these N people claim to be the parent of exactly Ai off these N people. However, some of these people may be lying - the person may either be telling the truth (in which case they have exactly Ai children) or lying down (in which case they can have any number of children). It is known that each person has at most one parent. Furthermore, as one would expect, a person's child is not allowed to also be their ancestor. What is the maximum possible number of truth tellers in this universe

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

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There are exactly N people living in a certain parallel universe. The Ith of these NN people claim to be the parent of exactly Ai off these N people. However, some of these people may be lying - the person may either be telling the truth (in which case they have exactly Ai children) or lying down (in which case they can have any number of children). It is known that each person has at most one parent. Furthermore, as one would expect, a person's child is not allowed to also be their ancestor. What is the maximum possible number of truth tellers in this universe Using C++ programming language. Possible input 1 2 10 Required Output 2
Try to classify the following dataset with three classes by implementing a multiclass classification neural network from scratch using the NumPy library in Python:
There are exactly N people living in a certain parallel universe. The Ith of these NN people claim to be the parent of exactly Ai off these N people. However, some of these people may be lying - the person may either be telling the truth (in which case they have exactly Ai children) or lying down (in which case they can have any number of children). It is known that each person has at most one parent. Furthermore, as one would expect, a person's child is not allowed to also be their ancestor. What is the maximum possible number of truth tellers in this universe Using C++ programming language. Possible input 1 2 10 Required Output 2
Questions: Consider the following Turing Machine: A a b→ R D à, R → R 8.D àȧ → R a → R b B → R Accept b→ b, L b→ L a → L b→ R Note that the symbol à(b) is a marked a (b). 1. What is the sequence of configuration states starting at configurations given in the table on the reverse side of this? Which of these strings are recognized? (You can fill out each column and then photo/scan it to include with the rest of your solutions or recreate this electronically.) 2. What state is missing from the state diagram? Explain the convention for entering this state with an example configuration in the state B whose next configuration enters this state. What about the state diagram let you know that the next state was this missing state? 3. What do the self-loops on state B accomplish? What purpose this serve in the context of this Turing machine deciding to accept or reject a string? 4. What do the self-loops on state Caccomplish? What purpose this serve in the context of this Turing machine…
Let x, y, z be positive integers (x, y, z> 0) represented in unary. Assume that x > z. Design a Turing Machine (TM) that computes the function f (x, y, z) = x+y=z. More specifically, go w (x) Ow (y) Ow (z) +* qƒw (x+y=z) 0 Draw the transition graph of the TM. Make sure you clearly indicate the initial and final states. Do not draw the block diagram! Here is an example of a computation performed by the TM: if x = 5, y = 2, z = 4 then qo1111101101111 -* qƒ1110
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Create a Turing machine that when started anywhere on the tape will halt if and only if there is a 0 somewhere on the tape., since it only lets you enter a single input string as the starting configuration of the tape. （For this problem, the tape can start with 0s and 1s scattered anywhere on the tape - they do not have to be contiguous. Any permutation of 0s, 1s and blanks is a possible starting configuration.）
A configuration of a Turing machine M = (K,E, 6,s, H) is a member of K × DE* x (E*(E- (U})U{e}).
Question 3 In the homework we saw Turing machines for AND, OR, NOT. Here's the definition for XOR. qo O B q1 q1 BR q2 q0 1 B q3 q3 BR q4 q4 0 1 q5 94 1 0 q6 Trace the machine's execution on input 11 by showing the successive configurations. List one configuration per line with a single space separating each part of the configuration. Recall that the parts of the configuration are in the following order: current-state current-head tape-to-left tape-to- right. Use "e" for e and use it only in the "tape-to-left" or "tape-to-right" positions when there is nothing but blanks in those directions. Otherwise list all characters explicitly (and use B for a blank character when needed). initially q0 1 e 1 Step 1 Step 2 Step 3
Using Python programming language. There are exactly N people living in a certain parallel universe. The Ith of these N people claim to be the parent of exactly Ai off these N people. However, some of these people may be lying - the person may either be telling the truth (in which case they have exactly Ai children) or lying down (in which case they can have any number of children). It is known that each person has at most one parent. Furthermore, as one would expect, a person's child is not allowed to also be their ancestor. What is the maximum possible number of truth tellers in this universe Required Output 2 Possible input 1 2 10
Construct a Turing machine that takes strings over the alphabet {a,b} on the tape, and moves the whole string over to the right one cell position. When you're done, the tape should essentially look the same (since it's infinite on both ends…) but you will know (and people who look at your code will know) that in fact you moved the string over by one space to the right. After moving the string over, the turing machine should move to the left-most cell in the string and than go to the HALT state.
For example, in the following simple Turing Machine, the operation may never halt (infinite loop): Turing Machine M = (S, E, 8, s, {h}) where S = {q, h} E = {a, u, } 8 is given by the following transition functions: 1. ((q, a) , (q, +)) 2. ((q, u) , (h, u)) 3. (q, >), (q, →)) Note: u represents the blank symbol.