GATE CS 2014 Set 1 — Question 51
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Programming & Data Structures → Arrays & Strings → Array Operations (1D, 2D)
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Question
Consider the following C function in which size is the number of elements in the array E:
The value returned by the function MyX is the
int MyX(int *E, unsigned int size)
{
int Y = 0;
int Z;
int i, j, k;
for(i = 0; i < size; i++)
Y = Y + E[i];
for(i = 0; i < size; i++)
for(j = i; j < size; j++)
{
Z = 0;
for(k = i; k <= j; k++)
Z = Z + E[k];
if (Z > Y)
Y = Z;
}
return Y;
}
The value returned by the function MyX is the
Correct answer
(A) maximum possible sum of elements in any sub-array of array E.
Solution
The function
Then, it iterates through all possible sub-arrays defined by start index
If
MyX first initializes Y to the sum of all elements in the array E.Then, it iterates through all possible sub-arrays defined by start index
i and end index j. For each sub-array, it calculates the sum Z.If
Z is greater than Y, Y is updated to Z.Essentially, Y tracks the maximum sum encountered so far. Since the initial value of Y (total sum) corresponds to the sub-array from 0 to size-1, the loop effectively checks every sub-array sum against the current maximum.Therefore, the function returns the maximum sum of elements among all possible sub-arrays of E.Continue learning with Success Tracker
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