Medium
A magical string s
consists of only '1'
and '2'
and obeys the following rules:
'1'
and '2'
generates the string s
itself.The first few elements of s
is s = "1221121221221121122……"
. If we group the consecutive 1
’s and 2
’s in s
, it will be "1 22 11 2 1 22 1 22 11 2 11 22 ......"
and the occurrences of 1
’s or 2
’s in each group are "1 2 2 1 1 2 1 2 2 1 2 2 ......"
. You can see that the occurrence sequence is s
itself.
Given an integer n
, return the number of 1
’s in the first n
number in the magical string s
.
Example 1:
Input: n = 6
Output: 3
Explanation: The first 6 elements of magical string s is “122112” and it contains three 1’s, so return 3.
Example 2:
Input: n = 1
Output: 1
Constraints:
1 <= n <= 105
class Solution {
fun magicalString(n: Int): Int {
val a = IntArray(n + 2)
var fast = 1
var slow = 1
var num = 1
while (fast <= n) {
a[fast++] = num
if (a[slow++] == 2) {
a[fast++] = num
}
num = 3 - num
}
var count = 0
for (j in 1..n) {
if (a[j] == 1) {
count++
}
}
return count
}
}