Medical Terminology Instructor''''s Edition

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 1 pptx

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 1 pptx

... j k 5 ∞ R j ∞ 10 11 12 13 14 15 16 17 2 k … 4 i ∞ R j ∞ 10 11 12 13 14 15 16 17 2 k … 4 i ∞ R ∞ j 10 11 12 13 14 15 16 17 A … 4 ∞ i R ∞ j 2 2 6 … k 10 11 12 13 14 15 16 17 A … 1 L 4 ∞ i R ∞ j ... 14 15 16 17 A … 1 L 4 ∞ i R ∞ j … k L L … L … 10 11 12 13 14 15 16 17 i 2 A … A … 1 L … L 10 11 12 13 14 15 16 17 i k i A … A … 10 11 12...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 2 pps

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 2 pps

... lg(n − 2) − 2c lg(n − 2) + dn − 2d + lg n > cn lg(n − 2) − 2c lg n + dn − 2d + lg n (since − lg n < − lg(n − 2) ) = cn lg(n − 2) − 2( c − 1) lg n + dn − 2d ≥ cn lg(n /2) − 2( c − 1) lg n + dn − 2d (by ... 1, 2, 1, 3, 2, 1, 2, 3, 3, 1, 3, 2, probability 4 /27 5 /27 5 /27 5 /27 4 /27 4 /27 Solutions for Chapter 5: Probabilistic Analysis and Randomized Algorithms 5-13 Although these...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 3 docx

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 3 docx

... array A on digit i Example: sorted 32 6 4 53 608 835 751 435 704 690 690 751 4 53 704 835 435 32 6 608 704 608 32 6 835 435 751 4 53 690 32 6 435 4 53 608 690 704 751 835 Lecture Notes for Chapter 8: Sorting ... A[1] to A[2] 1:2 A[1] ≤ A[2] ≤ 2 :3 ≤ A[1] ≤ A[2] > A[2] > A [3] 〈1,2 ,3 〈1 ,3, 2〉 1 :3 ≤ A[1] > A[2] > A[1] > A [3] 〈2,1 ,3 1 :3 2 :3 > ≤ A[1] ≤ A[2] ≤ A [3] > A[1]...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 4 pot

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 4 pot

... we increment top[S], set S[top[S]] ← k, set S [top[S]] ← x, and set T [k] ← top[S] D ELETE: To delete object x with key k, assuming that this object is in the dictionary, we need to break the ... pointer in the slot that pointed to j to point to the new slot Then insert the new element in the now-empty slot as usual To update the pointer to j , it is necessary to Þnd it by sea...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 5 potx

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 5 potx

... would have to be copied when a new node is inserted To see why, observe that the children of the root would change to point to the new root, then their children would change to point to them, and ... O(h) time, analogous to the changes we made for persistence in insertion But to so without using parent pointers we need to walk down the tree to the node to be deleted, to...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 6 pps

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 6 pps

... row-major order, i.e., row-by-row from top to bottom, and left to right within each row Columnmajor order (column-by-column from left to right, and top to bottom within each column) would also work ... on page 365 , we wish to print the sequence p7 , p6 , p4 , p3 , p1 , p2 , p5 Our code is recursive The right -to- left subpath is printed as we go deeper into the recursion, and the l...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 7 ppsx

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 7 ppsx

... Greedy Algorithms 16-3 Solution to Si j is (solution to Sik ) ∪ {ak } ∪ (solution to Skj ) Since ak is in neither subproblem, and the subproblems are disjoint, |solution to S| = |solution to Sik ... sorting A and B into monotonically increasing order works as well 16-14 Solutions for Chapter 16: Greedy Algorithms Solution to Exercise 16.4-2 We need to show three things to...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 8 potx

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 8 potx

... K2 K3 {4, 8} {3} {9, 2, 6} {4, 8} {3} {9, 2, 6} {4, 8} {3} {4, 8} K4 {} {} {9, 2, 6} {9, 2, 6, 3} {9, 2, 6, 3, 4, 8} {9, 2, 6, 3, 4, 8} K5 K6 {} {1, 7} {} {} {} {} {} {9, 2, 6, 3, 4, 8} {9, 2, ... edge it visits to the cycle C, which is then added to the Euler tour T , when we return from a call to V ISIT (u), all edges entering or leaving vertex u have been added to the tour W...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 9 pdf

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 9 pdf

... • • • (V + E) to compute G O(V E) to run B ELLMAN -F ORD (E) to compute w O(V lg V + V E) to run Dijkstra’s algorithm |V | times (using Fibonacci heap) (V ) to compute D matrix Total: O(V lg ... j j T RANSITIVE -C LOSURE (E, n) for i ← to n for j ← to n if i = j or (i, j ) ∈ E[G] then ti(0) ← j else ti(0) ← j for k ← to n for i ← to n for j ← to n (k−1) (k−1) ∧ tkj ti(k) ←...

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Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 10 potx

Introduction to Algorithms Second Edition Instructor’s Manual 2nd phần 10 potx

... bitonic 0 0 1 clean bitonic bitonic 0 1 1 0 1 1 bitonic Depth = Lemma If the input to a half-cleaner is a bitonic 0-1 sequence, then for the output: • • • both the top and bottom half are bitonic, ... A bitonic sorting network Constructing a sorting network Step 1: Construct a “bitonic sorter.” It sorts any bitonic sequence A sequence is bitonic if it monotonically increases, then monotonic...

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