import java.util.*;
public class Sulotion {
public static int binarySearch(int arr[], int l, int r, int x)
{
if (r >= l)
{
int mid = l + (r - l)/2;
// If the element is present at the middle
// itself
if (arr[mid] == x)
return mid;
// If element is smaller than mid, then
// it can only be present in left subarray
if (arr[mid] > x)
return binarySearch(arr, l, mid-1, x);
// Else the element can only be present
// in right subarray
return binarySearch(arr, mid+1, r, x);
}
// We reach here when element is not
// present in array
return -1;
}
//Checking the number
public static boolean IsExistsInMatrix(int[][] matrix , int number, int topRow, int botRow) {
int cols = matrix[topRow].length -1;
if (number < matrix [0][0] || number > matrix[botRow][cols]) // number is lower than lowest and larger than largest
return false;
else if (topRow==botRow) //is the last line to check - becomes an array
{
if (binarySearch(matrix[topRow],0,cols,number) >=0){
return true;
}
}
else {
int midRows = (botRow-topRow+1) /2;
if (number < matrix[topRow+midRows][0])//is upper half
return IsExistsInMatrix(matrix, number, topRow,botRow-midRows);
else if (number >= matrix[topRow+midRows][cols]) // is lower half
return IsExistsInMatrix(matrix, number, topRow+midRows,botRow);
else
return IsExistsInMatrix(matrix, number, topRow+midRows,topRow+midRows);
}
return false;
};
public static void main(String[] args) {
// TODO Auto-generated method stub
Scanner scanner = new Scanner(System.in);
//Define parameters
int Number = 60;
System.out.println("The Number Is:" + Number);
//int Number;
//System.out.println("Enter a number:");
//Number=scanner.nextInt();
int [][] Matrix = new int [6][7] ;
int [] numbers = new int [] {2,5,7,8,9,11,12,14,16,17,19,20,25,26,28,29,33,36,38,39,41,42,46,48,49,50,52,53,54,56,57,59,60,61,62,64,66,67,68,69,72,78};
System.out.println("The Matrix Is:");
//Filling the Array and Printing
int numbersIdx = 0;
for (int i = 0 ; i < Matrix.length ; i++)
{
for (int j = 0 ; j < Matrix[i].length ; j++)
{
Matrix[i][j] = numbers[numbersIdx];
numbersIdx++;
System.out.print(Matrix[i][j]+ " ");
}
System.out.print("\n");
}
System.out.println("The number exist? " + IsExistsInMatrix(Matrix,Number,0,Matrix.length-1));
}
}
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