1
GATE CSE 2015 Set 2
Numerical
+2
-0
A Young tableau is a $$2D$$ array of integers increasing from left to right and from top to bottom. Any unfilled entries are marked with $$\infty ,$$ and hence there cannot be any entry to the right of, or below a $$\infty .$$ The following Young tableau consists of unique entries.

1 2 5 14
3 4 6 23
10 12 18 25
31

When an element is removed from a Young tableau, other elements should be moved into its place so that the resulting table is still a Young tableau (unfilled entries may be filled in with a $$\infty $$). The minimum number of entries (other than $$1$$) to be shifted, to remove $$1$$ from the given Young tableau is ______________.

Your input ____
2
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An unordered list contains $$n$$ distinct elements. The number of comparisons to find an element in this list that is neither maximum nor minimum is
A
$$\Theta \left( {n\,\,\log \,\,n} \right)$$
B
$$\Theta \left( n \right)$$
C
$$\Theta \left( {\log \,\,n} \right)$$
D
$$\Theta \left( 1 \right)$$
3
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider two decision problems $${Q_1},{Q_2}$$ such that $${Q_1}$$ reduces in polynomial time to $$3$$-$$SAT$$ and $$3$$-$$SAT$$ reduces in polynomial time to $${Q_2}.$$ Then which one of the following is consistent with the above statement?
A
$${Q_1}$$ is $$NP,$$ $${Q_2}$$ is $$NP$$ hard.
B
$${Q_2}$$ is $$NP,$$ $${Q_1}$$ is $$NP$$ hard.
C
Both $${Q_1}$$ and $${Q_2}$$ are in $$NP.$$
D
Both $${Q_1}$$ and $${Q_2}$$ are $$NP$$ hard.
4
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
Consider the intermediate code given below.
(1)  i = 1
(2)  j = 1
(3)  t1 = 5 ∗ i
(4)  t2 = t1 + j
(5)  t3 = 4 ∗ t2
(6)  t4 = t3
(7)  a[t4] = -1
(8)  j = j + 1
(9)  if j<=5 goto (3)
(10) i=i+1
(11) if i<5 goto (2)

The number of nodes and edges in the control-flow-graph constructed for the above code, respectively, are

A
5 and 7
B
6 and 7
C
5 and 5
D
7 and 8