GATE CS 2015 Set 3 — Question 50
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Programming & Data Structures → Arrays & Strings → Array Operations (1D, 2D)
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Question
Consider the following two C code segments. Y and X are one and two dimensional arrays of size and respectively, where . Assume that in both code segments, elements of Y are initialized to 0 and each element X[i][j] of array X is initialized to i+j. Further assume that when stored in main memory all elements of X are in same main memory page frame.Code segment 1:
Code Segment 2:
Which of the following statements is/are correct?S1: Final contents of array Y will be same in both code segments
S2: Elements of array X accessed inside the for loop shown in code segment 1 are contiguous in main memory
S3: Elements of array X accessed inside the for loop shown in code segment 2 are contiguous in main memory
//initialize elements of Y to 0
//initialize elements X[i][j] of X to i+j
for(i = 0; i < n; i++)
Y[i] += X[0][i];
//initialize elements of Y to 0
//initialize elements X[i][j] of X to i+j
for(i = 0; i < n; i++)
Y[i] += X[i][0];
S2: Elements of array X accessed inside the for loop shown in code segment 1 are contiguous in main memory
S3: Elements of array X accessed inside the for loop shown in code segment 2 are contiguous in main memory
Correct answer
(C) Only S1 and S2 are correct
Solution
S1. , so and . Segment 1 adds to and segment 2 adds to ; in both cases at the end. S1 is true.S2. C stores 2-D arrays in row-major order. Segment 1 accesses , which are consecutive elements of row 0, so they are contiguous in memory. S2 is true.S3. Segment 2 accesses , the first column. Consecutive accesses are one full row ( elements) apart, and , so they are not contiguous. S3 is false.So only S1 and S2 are correct: (A) and (B) miss S1, and (D) wrongly includes S3.Answer: (C)
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