GATE CS 2021 Set 1 — Question 58
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Programming & Data Structures → C Programming → Arrays & Strings in C
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Question
Consider the following ANSI C function.Let be an array of 10 elements with , for all such that . The value returned by SimpleFunction() is ________.
int SimpleFunction(int Y[], int n, int x)
{
int total = Y[0], loopIndex;
for (loopIndex = 1; loopIndex <= n - 1; loopIndex++)
total = x * total + Y[loopIndex];
return total;
}
Correct answer
1023 to 1023
Solution
The function implements Horner's method to evaluate a polynomial where the array elements are coefficients. For and , the function calculates:Given for all and , this becomes a geometric series:Using the formula for the sum of a geometric progression :
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