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Max Consecutive Ones

2017-09-19 11:48 281 查看
Q:
Input: [1,0,1,1,0]
Output: 4
Explanation: Flip the first zero will get the the maximum number of consecutive 1s. After flipping, the maximum number of consecutive 1s is 4.


原文链接:https://discuss.leetcode.com/topic/75445/java-clean-solution-easily-extensible-to-flipping-k-zero-and-follow-up-handled/2

The idea is to keep a window 
[l, h]
 that contains at most 
k
 zero

The following solution does not handle follow-up, because 
nums[l]
 will need to access
previous input stream

Time: O(n) Space: O(1)




public int findMaxConsecutiveOnes(int[] nums) {
int max = 0, zero = 0, k = 1; // flip at most k zero
for (int l = 0, h = 0; h < nums.length; h++) {
if (nums[h] == 0)
zero++;
while (zero > k)
if (nums[l++] == 0)
zero--;
max = Math.max(max, h - l + 1);
}
return max;
}

Now let's deal with follow-up, we need to store up to k
 indexes of zero within the window 
[l, h]
 so that we know where to move 
l
next when the window contains more than 
k
 zero. If the input stream is infinite, then the output could be extremely large because there could be super long consecutive ones. In that case we can use 
BigInteger
 for all indexes. For simplicity, here we will use 
int

Time: O(n) Space: O(k)
public int findMaxConsecutiveOnes(int[] nums) { [/code]
[/code]
int max = 0, k = 1; // flip at most k zero
Queue<Integer> zeroIndex = new LinkedList<>();
for (int l = 0, h = 0; h < nums.length; h++) {
if (nums[h] == 0)
zeroIndex.offer(h);
if (zeroIndex.size() > k)
l = zeroIndex.poll() + 1;
max = Math.max(max, h - l + 1);
}
return max;
}
Note that setting 
k = 0
 will give a solution to the earlier version Max Consecutive OnesFor 
k = 1
 we can apply the same idea to simplify the solution. Here 
q
 stores the index of zero within the window 
[l, h]
 so its role is similar to 
Queue
 in the above solution
public int findMaxConsecutiveOnes(int[] nums) {
int max = 0, q = -1;
for (int l = 0, h = 0; h < nums.length; h++) {
if (nums[h] == 0) {
l = q + 1;
q = h;
}
max = Math.max(max, h - l + 1);
}
return max;
}
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