Medium
An integer x
is a good if after rotating each digit individually by 180 degrees, we get a valid number that is different from x
. Each digit must be rotated - we cannot choose to leave it alone.
A number is valid if each digit remains a digit after rotation. For example:
0
, 1
, and 8
rotate to themselves,2
and 5
rotate to each other (in this case they are rotated in a different direction, in other words, 2
or 5
gets mirrored),6
and 9
rotate to each other, andGiven an integer n
, return the number of good integers in the range [1, n]
.
Example 1:
Input: n = 10
Output: 4
Explanation:
There are four good numbers in the range [1, 10] : 2, 5, 6, 9.
Note that 1 and 10 are not good numbers, since they remain unchanged after rotating.
Example 2:
Input: n = 1
Output: 0
Example 3:
Input: n = 2
Output: 1
Constraints:
1 <= n <= 104
public class Solution {
public int rotatedDigits(int n) {
int[] flag = new int[n + 1];
flag[0] = 2;
int[] indexesValueTwo = {1, 8};
for (int value : indexesValueTwo) {
if (n >= value) {
flag[value] = 2;
}
}
int[] indexesValueOne = {2, 5, 6, 9};
for (int value : indexesValueOne) {
if (n >= value) {
flag[value] = 1;
}
}
int rs = 0;
for (int i = 1; i <= n; i++) {
int residual = i % 10;
if (flag[residual] != 0) {
if ((residual == 1 || residual == 0 || residual == 8) && (flag[i / 10] == 2)) {
flag[i] = 2;
continue;
}
if (flag[i / 10] != 0) {
flag[i] = 1;
rs++;
}
}
}
return rs;
}
}