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Find the minimum in a sorted and rotated Array
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//Assumes there are no duplicate | |
//O(log n) | |
public int FindMinRotatedArray(int[] ar){ | |
int n = ar.Length; | |
int lo = 0; | |
int hi = n - 1; | |
while(lo <= hi){ | |
if(ar[lo] <= ar[hi]) // (sub) array is already sorted, yay! | |
return ar[lo]; | |
int mid = lo + (hi - lo)/2; //prevent int overflow, assumes all are positive | |
int next = (mid + 1) % n; //modulus is needed if mid is the start/end of the array | |
int prev = (mid + n - 1) % n; | |
//check if mid is the min. Both it's previous and next are higher | |
if((ar[mid] <=ar[prev])&&(ar[mid] <=ar[next])) | |
return ar[mid]; | |
//figure out where is the dip | |
if(ar[mid] <= ar[lo]) | |
hi = mid - 1; //the dip is in the half left side | |
else | |
lo = mid + 1; | |
} | |
return -1; | |
} |
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