Count Numbers with Unique Digits
Given a non-negative integer n, count all numbers with unique digits, x, where 0 ≤ x < 10n.
Example:
Given n = 2, return 91. (The answer should be the total numbers in the range of 0 ≤ x < 100, excluding [11,22,33,44,55,66,77,88,99]
)
public class Solution {
public int countNumbersWithUniqueDigits(int n) { if (n < ) return ;
if (n == ) return ; // 0 - 10
int count = countNumbersWithUniqueDigits(n - ); // 1 到 n-1 位数。
int result = ; // there are 9 choices in the first number. 9 in the second number, 8 in the third, 7 in the fourth number.......
for (int i = ; i < n - ; i++) { // n位数
result = result * ( - i);
}
return count + result;
}
}
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