sr4cafe

11-08-2011, 06:00 AM

Write a C program for the following algorithm

OBJECTIVE: Find the "fixed point" of an array

Input: an array A of *distinct* integers in ascending order.

(Remember that integers can be negative!) The number of

integers in A is n.

Output: one position k in the list, such that A[i]=i, if any exists.

Otherwise: "No".

method 1 :

If A [ i ] > i , we can ignore the right half of the array because

in right half ,for all j > i , we must have A [ j ] > j since A [ i ] >

i, as all the numbers are distinct.

Similarly , if A [ i ] < i, we can ignore the left half of the array

because in left half, for all j < i , we must have A [ j ] < j since A

[ i ] < i ,as all the numbers are distinct.

method 2:

n = size of array

take it=n/2

iterate till it>0&&it<n

if(A[it]>it)

it=it/2

else if(A[it]<it)

it+=it/2

else

return it

if loop returns nothing return error msg

(Post new methods if any ...)

OBJECTIVE: Find the "fixed point" of an array

Input: an array A of *distinct* integers in ascending order.

(Remember that integers can be negative!) The number of

integers in A is n.

Output: one position k in the list, such that A[i]=i, if any exists.

Otherwise: "No".

method 1 :

If A [ i ] > i , we can ignore the right half of the array because

in right half ,for all j > i , we must have A [ j ] > j since A [ i ] >

i, as all the numbers are distinct.

Similarly , if A [ i ] < i, we can ignore the left half of the array

because in left half, for all j < i , we must have A [ j ] < j since A

[ i ] < i ,as all the numbers are distinct.

method 2:

n = size of array

take it=n/2

iterate till it>0&&it<n

if(A[it]>it)

it=it/2

else if(A[it]<it)

it+=it/2

else

return it

if loop returns nothing return error msg

(Post new methods if any ...)