Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 7.1, Problem 1E
Program Plan Intro

To illustrate the operation of PARTITION on the array A=13,19,9,5,12,8,7,4,21,2,6,11 .

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3. Unimodal Sequence Given n2 1, a sequence of n integers a[0],. . ., a[n-1] is unimodal if there exists t (with 0 st a[t+1] > . . . > a[n=1] The element a[t] is called the top of the sequence. For example, the sequence 1, 3, 5, 9, 4, 1 is unimodal, and its top is 9 (t = 3). Write a function get Toplndex_UnimodelSequence that takes a unimodal sequence & returns the index of the top of the sequence. The solution must have cost O(log(n)) in time in the worst case.
write a C++ program to Given a matrix of dimension m*n where each cell in the matrix can have values 0, 1 or 2 whichhas the following meaning:0: Empty cell1: Cells have fresh oranges2: Cells have rotten orangesSo we have to determine what is the minimum time required so that all the oranges becomerotten. A rotten orange at index [i,j] can rot other fresh orange at indexes [i-1,j], [i+1,j], [i,j-1],[i,j+1] (up, down, left and right). If it is impossible to rot every orange then simply return -1.Examples:Input: arr[][C] = { {2, 1, 0, 2, 1},{1, 0, 1, 2, 1},{1, 0, 0, 2, 1}};Output:All oranges can become rotten in 2 time frames.Input: arr[][C] = { {2, 1, 0, 2, 1},Tahir Iqbal Department of Computer Sciences. BULC{0, 0, 1, 2, 1},{1, 0, 0, 2, 1}};Output:All oranges cannot be rotten.Below is algorithm.1) Create an empty Q.2) Find all rotten oranges and enqueue them to Q. Also enqueuea delimiter to indicate beginning of next time frame.3) While Q is not empty do following3.a) While delimiter in…
7. (a) Show that E3x(Px x Px). (b) Show that {Qx,Vy(Qy → Pz)} EVx Px.
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