153 Find Minimum in Rotated Sorted Array
Suppose a sorted array is rotated at some pivot unknown to you beforehand.
(i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).
Find the minimum element. You may assume no duplicate exists in the array.
Solution
class Solution {
public:
int findMin(vector<int>& nums) {
int n = nums.size();
int l = 0, r = n-1;
while ( l < r-1 ) {
int m = (l+r)/2;
if ( nums[l] < nums[m] and nums[m] < nums[r] ) return nums[l];
if ( nums[l] > nums[m] ) { r = m; continue;}
if ( nums[m] > nums[r] ) { l = m; continue;}
}
return min(nums[l], nums[r]);
}
};
Duplicate allowed?
Solution
remember to skip the consecutive "same numbers".
class Solution {
public:
int findMin(vector<int>& nums) {
int n = nums.size();
int l = 0, r = n-1, m;
while ( l < n-1 and nums[l] == nums[l+1] ) l += 1;
if ( l == n-1 ) return nums[l];
while ( r > 0 and nums[r] == nums[r-1] ) r--;
while ( l < r-1 ) {
m = (l+r)/2;
if ( nums[l] < nums[m] and nums[m] < nums[r] ) return nums[l];
if ( nums[l] > nums[m] ) {
r = m;
while ( r > l and nums[r] == nums[r-1] ) r--;
continue;
}
if ( nums[m] > nums[r] ) {
l = m;
while ( l < r and nums[l] == nums[l+1] ) l++;
continue;
}
}
return min(nums[l], nums[r]);
}
};