Sunday, July 3, 2016

#codingexercise
Find an element in a sorted and rotated array
Int getindex(list<int> a, int start, int end, int val)
{
If (end < start) return -1;
If (a[start] <= a[end])
 Return binary_chop(a, start, end, val);
If (end == start +1){
If (a[start] == val) return start;
If (a[end] == val) return end;
Return -1;
}
Int mid = (start+end)/2;
int left = getindex(a, start,mid, val);
If (left != -1) return left;
Int right = getindex(a, mid+1, end, val);
If (right != -1) return right;
Return -1;
}
Find the minimum element in a sorted rotated array
Int getmin(list<int> a, int start, int end)
{
If (end < start) return a[0];
If (end == start) return a[start];
Int mid = (start +end)/2;
If (a[mid+1]<a[mid]) return a[mid+1];
If (a[mid]<a[mid-1]) return a[mid];
If (a[start] < a[mid]) return getmin(a,start,mid);
Return getmin(a, mid+1,end);
}
// alternative getindex using getmin
Int findindex(list<int> a, int val);
{
Int min = getmin(a, 0, a.count-1);
Int mindex = a.indexOf(min);
Int left = binary_chop(a,0, mindex,val);
If (left != -1) return left;
Int right = binary_chop(a, mindex+1,end, val);
If (right != -1) return right;
Return -1;
}
Int binary_chop(List<int> a, int start, int end, int val)
{
If (val < a[start] || val > a[end]) return -1;
If (a[start] == val) return start;
If(a[end] == val) return end;
Int mid = (start+end)/2;

Int left = binary_chop(a,0, mid,val);
If (left != -1) return left;
Int right = binary_chop(a, mid+1,end, val);
If (right != -1) return right;
Return -1;
}

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