1
GATE CSE 2014 Set 2
Numerical
+2
-0
Consider two strings A = “qpqrr” and B = “pqprqrp”. Let x be the length of the longest common subsequence (not necessarily contiguous) between A and B and let y be the number of such longest common subsequences between A and B. Then x + 10y = ___.
2
GATE CSE 2014 Set 2
Numerical
+2
-0
The number of distinct minimum spanning trees for the weighted graph below is ________
3
GATE CSE 2014 Set 2
+1
-0.3
A priority queue is implemented as a Max-Heap. Initially, it has 5 elements. The level-order traversal of the heap is: 10, 8, 5, 3, 2. Two new elements 1 and 7 are inserted into the heap in that order. The level-order traversal of the heap after the insertion of the elements is:
A
10, 8, 7, 3, 2, 1, 5
B
10, 8, 7, 2, 3, 1, 5
C
10, 8, 7, 1, 2, 3, 5
D
10, 8, 7, 5, 3, 2, 1
4
GATE CSE 2014 Set 2
+1
-0.3

Consider the grammar defined by the following production rules, with two operators * and +

\eqalign{ & S \to T*P \cr & T \to U\,|\,T*U \cr & P \to Q + P\,|\,Q \cr & Q \to id \cr & U \to id \cr}

Which one of the following is TRUE?

A
+ is left associative, while * is right associative
B
+ is right associative, while * is left associative
C
Both + and * are right associative
D
Both + and * are left associative
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