Medium
You have a 1-indexed binary string of length n
where all the bits are 0
initially. We will flip all the bits of this binary string (i.e., change them from 0
to 1
) one by one. You are given a 1-indexed integer array flips
where flips[i]
indicates that the bit at index i
will be flipped in the ith
step.
A binary string is prefix-aligned if, after the ith
step, all the bits in the inclusive range [1, i]
are ones and all the other bits are zeros.
Return the number of times the binary string is prefix-aligned during the flipping process.
Example 1:
Input: flips = [3,2,4,1,5]
Output: 2
Explanation: The binary string is initially “00000”.
After applying step 1: The string becomes “00100”, which is not prefix-aligned.
After applying step 2: The string becomes “01100”, which is not prefix-aligned.
After applying step 3: The string becomes “01110”, which is not prefix-aligned.
After applying step 4: The string becomes “11110”, which is prefix-aligned.
After applying step 5: The string becomes “11111”, which is prefix-aligned.
We can see that the string was prefix-aligned 2 times, so we return 2.
Example 2:
Input: flips = [4,1,2,3]
Output: 1
Explanation: The binary string is initially “0000”.
After applying step 1: The string becomes “0001”, which is not prefix-aligned.
After applying step 2: The string becomes “1001”, which is not prefix-aligned.
After applying step 3: The string becomes “1101”, which is not prefix-aligned.
After applying step 4: The string becomes “1111”, which is prefix-aligned.
We can see that the string was prefix-aligned 1 time, so we return 1.
Constraints:
n == flips.length
1 <= n <= 5 * 104
flips
is a permutation of the integers in the range [1, n]
.public class Solution {
public int numTimesAllBlue(int[] flips) {
int ans = 0;
int max = 0;
for (int i = 0; i < flips.length; i++) {
max = Math.max(max, flips[i]);
if (max == i + 1) {
++ans;
}
}
return ans;
}
}