Monday, November 21, 2016

Rotate each ring of matrix anticlockwise by K elements - GeeksforGeeks


Rotate each ring of matrix anticlockwise by K elements - GeeksforGeeks
Given a matrix of order M*N and a value K, the task is to rotate each ring of the matrix anticlockwise by K elements. If in any ring elements are less than and equal K then don't rotate it.

Input : k = 3
        mat[4][4] = {{1, 2, 3, 4},
                    {5, 6, 7, 8},
                    {9, 10, 11, 12},
                    {13, 14, 15, 16}}
Output: 4 8  12 16
        3 10  6 15
        2 11  7 14
        1  5  9 13

Input : k = 2
        mat[3][4] = {{1, 2, 3, 4},
                    {10, 11, 12, 5},
                    {9, 8, 7, 6}}
Output: 3 4  5  6
        2 11 12 7
        1 10  9 8

The idea is to traverse matrix in spiral form. Here is the algorithm to solve this problem :
  • Make an auxiliary array temp[] of size M*N.
  • Start traversing matrix in spiral form and store elements of current ring in temp[] array. While storing the elements in temp, keep track of starting and ending positions of current ring.
  • For every ring that is being stored in temp[], rotate that subarray temp[]
  • Repeat this process for each ring of matrix.
  • In last traverse matrix again spirally and copy elements of temp[] array to matrix.
// Fills temp array into mat[][] using spiral order
// traveral.
void fillSpiral(int mat[][MAX], int m, int n, int temp[])
{
    int i, k = 0, l = 0;
 
    /*  k - starting row index
        m - ending row index
        l - starting column index
        n - ending column index  */
    int tIdx  = 0;  // Index in temp array
    while (k < m && l < n)
    {
        /* first row from the remaining rows */
        for (int i = l; i < n; ++i)
            mat[k][i] = temp[tIdx++];
        k++;
 
        /* last column from the remaining columns */
        for (int i = k; i < m; ++i)
            mat[i][n-1] = temp[tIdx++];
        n--;
 
        /* last row from the remaining rows */
        if (k < m)
        {
            for (int i = n-1; i >= l; --i)
                mat[m-1][i] = temp[tIdx++];
            m--;
        }
 
        /* first column from the remaining columns */
        if (l < n)
        {
            for (int i = m-1; i >= k; --i)
                mat[i][l] = temp[tIdx++];
            l++;
        }
    }
}
 
// Function to spirally traverse matrix and
// rotate each ring of matrix by K elements
// mat[][] --> matrix of elements
// M     --> number of rows
// N    --> number of columns
void spiralRotate(int mat[][MAX], int M, int N, int k)
{
    // Create a temporary array to store the result
    int temp[M*N];
 
    /*      s - starting row index
            m - ending row index
            l - starting column index
            n - ending column index;  */
    int m = M, n = N, s = 0, l = 0;
 
    int *start = temp;  // Start position of current ring
    int tIdx = 0;  // Index in temp
    while (s < m && l < n)
    {
        // Initialize end position of current ring
        int *end = start;
 
        // copy the first row from the remaining rows
        for (int i = l; i < n; ++i)
        {
            temp[tIdx++] = mat[s][i];
            end++;
        }
        s++;
 
        // copy the last column from the remaining columns
        for (int i = s; i < m; ++i)
        {
            temp[tIdx++] = mat[i][n-1];
            end++;
        }
        n--;
 
        // copy the last row from the remaining rows
        if (s < m)
        {
            for (int i = n-1; i >= l; --i)
            {
                temp[tIdx++] = mat[m-1][i];
                end++;
            }
            m--;
        }
 
        /* copy the first column from the remaining columns */
        if (l < n)
        {
            for (int i = m-1; i >= s; --i)
            {
                temp[tIdx++] = mat[i][l];
                end++;
            }
            l++;
        }
 
        // if elements in current ring greater than
        // k then rotate elements of current ring
        if (end-start > k)
        {
            // Rotate current ring using revarsal
            // algorithm for rotation
            reverse(start, start+k);
            reverse(start+k, end);
            reverse(start, end);
 
            // Reset start for next ring
            start = end;
        }
        else // There are less than k elements in ring
            break;
    }
 
    // Fill tenp array in original matrix.
    fillSpiral(mat, M, N, temp);
}
Read full article from Rotate each ring of matrix anticlockwise by K elements - GeeksforGeeks

No comments:

Post a Comment

Labels

GeeksforGeeks (1105) LeetCode (878) Algorithm (811) Review (618) to-do (615) LeetCode - Review (380) Classic Algorithm (334) Classic Interview (298) Dynamic Programming (285) Google Interview (240) Tree (146) POJ (140) Difficult Algorithm (136) EPI (127) Different Solutions (119) Bit Algorithms (114) Lintcode (111) Cracking Coding Interview (110) Smart Algorithm (109) Math (103) HackerRank (88) Binary Search (77) Graph Algorithm (75) Greedy Algorithm (65) Binary Tree (63) Interview Corner (61) DFS (60) List (58) Codility (54) Algorithm Interview (53) Advanced Data Structure (52) BFS (52) ComProGuide (52) Geometry Algorithm (48) LeetCode - Extended (47) USACO (46) Data Structure (42) Mathematical Algorithm (42) ACM-ICPC (41) Stack (41) Binary Search Tree (40) Interval (39) Jobdu (39) Knapsack (39) Recursive Algorithm (38) String Algorithm (38) Trie (38) Matrix (37) Codeforces (36) Introduction to Algorithms (36) Must Known (36) Space Optimization (36) Backtracking (35) Beauty of Programming (35) Sort (35) Union-Find (34) Array (33) prismoskills (33) Segment Tree (32) Sliding Window (32) HDU (31) Google Code Jam (30) Permutation (30) Puzzles (30) Array O(N) (29) Data Structure Design (29) Company-Zenefits (28) Microsoft 100 - July (28) to-do-must (28) Random (27) GeeksQuiz (25) Logic Thinking (25) Palindrome (25) hihocoder (25) Graph (24) Company-Facebook (23) High Frequency (23) TopCoder (23) Algorithm Game (22) Company - LinkedIn (22) Hash (22) Queue (22) Binary Indexed Trees (21) DFS + Review (21) Pre-Sort (21) Brain Teaser (20) CareerCup (20) Company - Twitter (20) Merge Sort (20) Lintcode - Review (19) Post-Order Traverse (19) UVA (19) Bisection Method (18) Follow Up (18) Probabilities (18) Company-Uber (17) Priority Quieue (17) Codercareer (16) Game Theory (16) Heap (16) Shortest Path (16) String Search (16) Topological Sort (16) Tree Traversal (16) itint5 (16) Difficult (15) Iterator (15) O(N) (15) Ordered Stack (15) Number (14) Number Theory (14) Amazon Interview (13) BST (13) Basic Algorithm (13) Binary Search - Bisection (13) Codechef (13) Euclidean GCD (13) KMP (13) Long Increasing Sequence(LIS) (13) Majority (13) mitbbs (13) Combination (12) Computational Geometry (12) Modify Tree (12) Reconstruct Tree (12) Reservoir Sampling (12) 尺取法 (12) AOJ (11) DFS+Backtracking (11) Fast Power Algorithm (11) Graph DFS (11) LCA (11) LeetCode - DFS (11) Miscs (11) Princeton (11) Time Complexity (11) Tree DP (11) 挑战程序设计竞赛 (11) Coin Change (10) Company - Microsoft (10) Company-Airbnb (10) Facebook Hacker Cup (10) HackerRank Easy (10) Reverse Thinking (10) Rolling Hash (10) SPOJ (10) Theory (10) Tutorialhorizon (10) Two Pointers (10) X Sum (10) Divide and Conquer (9) Mathblog (9) Max-Min Flow (9) Prefix Sum (9) Quick Sort (9) Stack Overflow (9) Stock (9) System Design (9) Use XOR (9) Book Notes (8) Bottom-Up (8) Bucket Sort (8) DP-Space Optimization (8) Graph BFS (8) LeetCode - DP (8) LeetCode Hard (8) Longest Common Subsequence(LCS) (8) O(1) Space (8) Prime (8) Suffix Tree (8) Tech-Queries (8) 穷竭搜索 (8) Algorithm Problem List (7) Company-Amazon (7) DFS+BFS (7) Facebook Interview (7) Fibonacci Numbers (7) Game Nim (7) HackerRank Difficult (7) Hackerearth (7) Interval Tree (7) Inversion (7) Level Order Traversal (7) Linked List (7) Math-Divisible (7) Minimum Spanning Tree (7) Probability DP (7) Radix Sort (7) Simulation (7) Xpost (7) n00tc0d3r (7) 蓝桥杯 (7) Catalan Number (6) Classic Data Structure Impl (6) DFS+Cache (6) DFS+DP (6) DP - Tree (6) DP-Multiple Relation (6) Dutch Flag (6) How To (6) Interviewstreet (6) Kadane - Extended (6) Kadane’s Algorithm (6) Knapsack - MultiplePack (6) Manacher (6) One Pass (6) Programming Pearls (6) Quick Select (6) Rabin-Karp (6) Randomized Algorithms (6) Sampling (6) Schedule (6) Suffix Array (6) Threaded (6) reddit (6) AI (5) Algorithm - Brain Teaser (5) Art Of Programming-July (5) Big Data (5) Brute Force (5) Code Kata (5) Codility-lessons (5) Coding (5) Company - WMware (5) Convex Hull (5) Crazyforcode (5) DP-Include vs Exclude (5) DP-Print Solution (5) Fast Slow Pointers (5) Graph Cycle (5) Hash Strategy (5) Immutability (5) Java (5) Matrix Chain Multiplication (5) Maze (5) Microsoft Interview (5) Morris Traversal (5) Pruning (5) Quadtrees (5) Quick Partition (5) Quora (5) SPFA(Shortest Path Faster Algorithm) (5) Subarray Sum (5) Sweep Line (5) Traversal Once (5) TreeMap (5) jiuzhang (5) 单调栈 (5) 树形DP (5) 1point3acres (4) Abbreviation (4) Anagram (4) Approximate Algorithm (4) Backtracking-Include vs Exclude (4) Brute Force - Enumeration (4) Chess Game (4) Consistent Hash (4) Cycle (4) Dijkstra (4) Distributed (4) Eulerian Cycle (4) Flood fill (4) Graph-Classic (4) HackerRank AI (4) Histogram (4) Kadane Max Sum (4) Knapsack - Mixed (4) Knapsack - Unbounded (4) LeetCode - TODO (4) Left and Right Array (4) MinMax (4) Multiple Data Structures (4) N Queens (4) Nerd Paradise (4) Parallel Algorithm (4) Practical Algorithm (4) Pre-Sum (4) Probability (4) Programcreek (4) Spell Checker (4) Stock Maximize (4) Subset Sum (4) Subsets (4) Sudoku (4) Symbol Table (4) TreeSet (4) Triangle (4) Water Jug (4) Word Ladder (4) algnotes (4) fgdsb (4) to-do-2 (4) 最大化最小值 (4) A Star (3) Algorithm - How To (3) Algorithm Design (3) Anagrams (3) B Tree (3) Big Data Algorithm (3) Binary Search - Smart (3) Caterpillar Method (3) Coins (3) Company - Groupon (3) Company - Indeed (3) Cumulative Sum (3) DP-Fill by Length (3) DP-Two Variables (3) Dedup (3) Dequeue (3) Dropbox (3) Easy (3) Edit Distance (3) Expression (3) Finite Automata (3) Forward && Backward Scan (3) Github (3) GoLang (3) Graph - Bipartite (3) Include vs Exclude (3) Joseph (3) Jump Game (3) Knapsack-多重背包 (3) LeetCode - Bit (3) Linked List Merge Sort (3) LogN (3) Master Theorem (3) Min Cost Flow (3) Minesweeper (3) Missing Numbers (3) NP Hard (3) Online Algorithm (3) Pascal's Triangle (3) Pattern Match (3) Project Euler (3) Rectangle (3) Scala (3) SegmentFault (3) Sieve of Eratosthenes (3) Stack - Smart (3) State Machine (3) Stream (3) Streaming Algorithm (3) Subtree (3) Transform Tree (3) Two Pointers Window (3) Warshall Floyd (3) With Random Pointer (3) Word Search (3) bookkeeping (3) codebytes (3) Activity Selection Problem (2) Advanced Algorithm (2) AnAlgorithmADay (2) Application of Algorithm (2) Array Merge (2) BOJ (2) BT - Path Sum (2) Balanced Binary Search Tree (2) Bellman Ford (2) Binomial Coefficient (2) Bit Mask (2) Bit-Difficult (2) Bloom Filter (2) Book Coding Interview (2) Branch and Bound Method (2) Clock (2) Codesays (2) Company - Baidu (2) Complete Binary Tree (2) DFS+BFS, Flood Fill (2) DP - DFS (2) DP-3D Table (2) DP-Classical (2) DP-Output Solution (2) DP-Slide Window Gap (2) DP-i-k-j (2) DP-树形 (2) Distributed Algorithms (2) Divide and Conqure (2) Doubly Linked List (2) GoHired (2) Graham Scan (2) Graph BFS+DFS (2) Graph Coloring (2) Graph-Cut Vertices (2) Hamiltonian Cycle (2) Huffman Tree (2) In-order Traverse (2) Include or Exclude Last Element (2) Information Retrieval (2) Interview - Linkedin (2) Invariant (2) Islands (2) Knuth Shuffle (2) LeetCode - Recursive (2) Linked Interview (2) Linked List Sort (2) Longest SubArray (2) Lucene-Solr (2) MST (2) MST-Kruskal (2) Math-Remainder Queue (2) Matrix Power (2) Minimum Vertex Cover (2) Negative All Values (2) Number Each Digit (2) Numerical Method (2) Object Design (2) Order Statistic Tree (2) Palindromic (2) Parentheses (2) Parser (2) Peak (2) Programming (2) Range Minimum Query (2) Reuse Forward Backward (2) Robot (2) Rosettacode (2) Scan from right (2) Search (2) Shuffle (2) SimHash (2) Simple Algorithm (2) Skyline (2) Spatial Index (2) Strongly Connected Components (2) Summary (2) TV (2) Tile (2) Traversal From End (2) Tree Sum (2) Tree Traversal Return Multiple Values (2) Word Break (2) Word Graph (2) Word Trie (2) Yahoo Interview (2) Young Tableau (2) 剑指Offer (2) 数位DP (2) 1-X (1) 51Nod (1) Akka (1) Algorithm - New (1) Algorithm Series (1) Algorithms Part I (1) Analysis of Algorithm (1) Array-Element Index Negative (1) Array-Rearrange (1) Auxiliary Array (1) Auxiliary Array: Inc&Dec (1) BACK (1) BK-Tree (1) BZOJ (1) Basic (1) Bayes (1) Beauty of Math (1) Big Integer (1) Big Number (1) Binary (1) Binary String (1) Binary Tree Variant (1) Bipartite (1) Bit-Missing Number (1) BitMap (1) BitMap index (1) BitSet (1) Bug Free Code (1) BuildIt (1) C/C++ (1) CC Interview (1) Cache (1) Calculate Height at Same Recusrion (1) Cartesian tree (1) Check Tree Property (1) Chinese (1) Circular Buffer (1) Code Quality (1) Codesolutiony (1) Company - Alibaba (1) Company - Palantir (1) Company - WalmartLabs (1) Company-Apple (1) Company-Epic (1) Company-Salesforce (1) Company-Snapchat (1) Company-Yelp (1) Compression Algorithm (1) Concurrency (1) Convert BST to DLL (1) Convert DLL to BST (1) Custom Sort (1) Cyclic Replacement (1) DFS-Matrix (1) DP - Probability (1) DP Fill Diagonal First (1) DP-Difficult (1) DP-End with 0 or 1 (1) DP-Fill Diagonal First (1) DP-Graph (1) DP-Left and Right Array (1) DP-MaxMin (1) DP-Memoization (1) DP-Node All Possibilities (1) DP-Optimization (1) DP-Preserve Previous Value (1) DP-Print All Solution (1) Database (1) Detect Negative Cycle (1) Diagonal (1) Directed Graph (1) Do Two Things at Same Recusrion (1) Domino (1) Dr Dobb's (1) Duplicate (1) Equal probability (1) External Sort (1) FST (1) Failure Function (1) Fraction (1) Front End Pointers (1) Funny (1) Fuzzy String Search (1) Game (1) Generating Function (1) Generation (1) Genetic algorithm (1) GeoHash (1) Geometry - Orientation (1) Google APAC (1) Graph But No Graph (1) Graph Transpose (1) Graph Traversal (1) Graph-Coloring (1) Graph-Longest Path (1) Gray Code (1) HOJ (1) Hanoi (1) Hard Algorithm (1) How Hash (1) How to Test (1) Improve It (1) In Place (1) Inorder-Reverse Inorder Traverse Simultaneously (1) Interpolation search (1) Interview (1) Interview - Easy (1) Interview - Facebook (1) Isomorphic (1) JDK8 (1) K Dimensional Tree (1) Knapsack - Fractional (1) Knapsack - ZeroOnePack (1) Knight (1) Kosaraju’s algorithm (1) Kruskal (1) Kruskal MST (1) Kth Element (1) Least Common Ancestor (1) LeetCode - Binary Tree (1) LeetCode - Coding (1) LeetCode - Detail (1) LeetCode - Related (1) LeetCode Diffcult (1) Linked List Reverse (1) Linkedin (1) Linkedin Interview (1) Local MinMax (1) Logic Pattern (1) Longest Common Subsequence (1) Longest Common Substring (1) Longest Prefix Suffix(LPS) (1) Machine Learning (1) Manhattan Distance (1) Map && Reverse Map (1) Math - Induction (1) Math-Multiply (1) Math-Sum Of Digits (1) Matrix - O(N+M) (1) Matrix BFS (1) Matrix Graph (1) Matrix Search (1) Matrix+DP (1) Matrix-Rotate (1) Max Min So Far (1) Median (1) Memory-Efficient (1) MinHash (1) MinMax Heap (1) Monotone Queue (1) Monto Carlo (1) Multi-Reverse (1) Multiple DFS (1) Multiple Tasks (1) Next Successor (1) Offline Algorithm (1) PAT (1) Parent-Only Tree (1) Parenthesis (1) Partition (1) Path Finding (1) Patience Sort (1) Persistent (1) Pigeon Hole Principle (1) Power Set (1) Pratical Algorithm (1) PreProcess (1) Probabilistic Data Structure (1) Proof (1) Python (1) Queue & Stack (1) RSA (1) Ranking (1) Rddles (1) ReHash (1) Realtime (1) Recurrence Relation (1) Recursive DFS (1) Recursive to Iterative (1) Red-Black Tree (1) Region (1) Regular Expression (1) Resources (1) Reverse Inorder Traversal (1) Robin (1) Selection (1) Self Balancing BST (1) Similarity (1) Sort && Binary Search (1) String Algorithm. Symbol Table (1) String DP (1) String Distance (1) SubMatrix (1) Subsequence (1) System of Difference Constraints(差分约束系统) (1) TSP (1) Ternary Search Tree (1) Test (1) Thread (1) TimSort (1) Top-Down (1) Tournament (1) Tournament Tree (1) Transform Tree in Place (1) Tree Diameter (1) Tree Rotate (1) Trie + DFS (1) Trie and Heap (1) Trie vs Hash (1) Trie vs HashMap (1) Triplet (1) Two Data Structures (1) Two Stacks (1) USACO - Classical (1) USACO - Problems (1) UyHiP (1) Valid Tree (1) Vector (1) Wiggle Sort (1) Wikipedia (1) ZOJ (1) ZigZag (1) baozitraining (1) codevs (1) cos126 (1) javabeat (1) jum (1) namic Programming (1) sqrt(N) (1) 两次dijkstra (1) 九度 (1) 二进制枚举 (1) 夹逼法 (1) 归一化 (1) 折半枚举 (1) 枚举 (1) 状态压缩DP (1) 男人八题 (1) 英雄会 (1) 逆向思维 (1)

Popular Posts