Question: Written in Java Design a recursive algorithm to find the longest increasing sequence of numbers in a rectangular grid. For example, if the grid contains

Written in Java

Design a recursive algorithm to find the longest increasing sequence of numbers in a rectangular grid. For example, if the grid contains 97 47 56 36 35 57 41 13 89 36 98 75 25 45 26 17 then the longest increasing sequence of numbers is the sequence of length eight consisting of 17, 26, 36, 41, 47, 56, 57, 97. Note that there are no duplicates in the increasing sequence. With out using a input file. The code has errors and i don't know why.

Java Code import java.util.Stack; public class LongestIncreasingSequence { private static void getLongestIncreasingSequence(int[][] grid, int r, int c) { int[][] g = new int[r][c]; for (int a = 0; a < r; a++) { for (int b = 0; b < c; b++) { g[a][b] = 1; } } int maxLen = -1; int idx1 = -1; int idx2 = -1; for(int a = 0; a < r; a++){ for(int b = 0; b < c; b++){ if(a > 0 && Math.abs(grid[a][b]-grid[a-1][b])==1){ g[a][b] = Math.max(g[a][b], g[a-1][b]+1); } if(b > 0 && Math.abs(grid[a][b]-grid[a][b-1])==1){ g[a][b] = Math.max(g[a][b], g[a][b-1]+1); } if(maxLen { maxLen = g[a][b]; idx1 = a; idx2 = b; } } } display(grid,g, maxLen, idx1, idx2); } private static void display(int[][] grid, int[][] g, int maxLen, int idx1, int idx2){ Stack s1 = new Stack<>(); while(maxLen >= 1){ s1.add(grid[idx1][idx2]); if(idx1>0 && Math.abs(g[idx1-1][idx2]-g[idx1][idx2])==1){ idx1--; } else if(idx2 >0 && Math.abs(g[idx1][idx2-1]-g[idx1][idx2])==1){ idx2--; } maxLen--; } Stack s2 = helper(s1); for(Integer integer : s2){ System.out.print(integer+" "); } } public static Stack helper(Stack input){ Stack tempStack = new Stack(); while(!input.isEmpty()){ int temp = input.pop(); while (!tempStack.isEmpty() && tempStack.peek() > temp){ input push(tempStack.pop()); } tempStack.push(temp); } return tempStack; } }

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!