Mentor Graphics Interview Question for MTSs


Country: India
Interview Type: In-Person




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1)start from top right corner
2) until curr_elem==elem_to_search || you go out of matrix, go down if curr_elem<elem_to_search else go left

complexity= O(m+n)

- Yoda July 15, 2012 | Flag Reply
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thr is a specific name of such kinds of matrices....ny idea nyone?

- Yoda July 15, 2012 | Flag
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yup , there is a name it's called Young's tableau.

- singhsourabh90 July 18, 2012 | Flag
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Yes

- Jagdeep Singal October 30, 2012 | Flag
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Do u mean that rows and columns are sorted in themselves independently ? ie.
3 6 7 12
7 9 10 13
9 12 13 14

- Deepa July 17, 2012 | Flag Reply
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number of solutions are possible :
1) if min(m,n)==1 use binary search.

2) if min(m,n)<<small linear search in zig-zag manner starting at top right corner. O(max(m,n))

3) if both m and n large use 2D binary-search O(log(n)*log(m))

- singhsourabh90 July 19, 2012 | Flag Reply
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public static void findInArray(int[][] inpArr, int num) {
		int count = 1;
		boolean flag = true;
		int i = 0;
		int j = (inpArr[0].length)-1;
		int currentNum = inpArr[i][j];
		while(num!=currentNum) {
			count++;
			if(num>currentNum) {
				i++;
			} else {
				j--;
			}
			try {
			currentNum = inpArr[i][j];
			} catch(ArrayIndexOutOfBoundsException e) {
				System.out.println(num + " not found in input array");
				flag = false;
				break;
			}
		}
		if(flag) System.out.println(num + "fount at (" + i +","+ j + ") position in " + count + " comparision(s).");
	}

- Vin September 03, 2012 | Flag Reply
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While this solution is correct, it does not make use of sorted columns and rows.
Following is the algo:
1. Look along diagonal for element greater than element to be found. Let's call this point (row, col) as pivot.
2. The pivot point cuts the array into 4 quadrant. Our element can only be present in the quadrant that is
2(a) above and towards right
2(b) below and towards left of this pivot point.
3. Apply this recursively to get the ans.

- Jagdeep Singal October 30, 2012 | Flag


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