You are given a 0-indexed array of strings nums
, where each string is of equal length and consists of only digits.
You are also given a 0-indexed 2D integer array queries
where queries[i] = [ki, trimi]
. For each queries[i]
, you need to:
- Trim each number in
nums
to its rightmosttrimi
digits. - Determine the index of the
kith
smallest trimmed number innums
. If two trimmed numbers are equal, the number with the lower index is considered to be smaller. - Reset each number in
nums
to its original length.
Return an array answer
of the same length as queries
, where answer[i]
is the answer to the ith
query.
Note:
- To trim to the rightmost
x
digits means to keep removing the leftmost digit, until onlyx
digits remain. - Strings in
nums
may contain leading zeros.
Example 1:
Input: nums = ["102","473","251","814"], queries = [[1,1],[2,3],[4,2],[1,2]] Output: [2,2,1,0] Explanation: 1. After trimming to the last digit, nums = ["2","3","1","4"]. The smallest number is 1 at index 2. 2. Trimmed to the last 3 digits, nums is unchanged. The 2nd smallest number is 251 at index 2. 3. Trimmed to the last 2 digits, nums = ["02","73","51","14"]. The 4th smallest number is 73. 4. Trimmed to the last 2 digits, the smallest number is 2 at index 0. Note that the trimmed number "02" is evaluated as 2.
Example 2:
Input: nums = ["24","37","96","04"], queries = [[2,1],[2,2]] Output: [3,0] Explanation: 1. Trimmed to the last digit, nums = ["4","7","6","4"]. The 2nd smallest number is 4 at index 3. There are two occurrences of 4, but the one at index 0 is considered smaller than the one at index 3. 2. Trimmed to the last 2 digits, nums is unchanged. The 2nd smallest number is 24.
Constraints:
1 <= nums.length <= 100
1 <= nums[i].length <= 100
nums[i]
consists of only digits.- All
nums[i].length
are equal. 1 <= queries.length <= 100
queries[i].length == 2
1 <= ki <= nums.length
1 <= trimi <= nums[i].length
Follow up: Could you use the Radix Sort Algorithm to solve this problem? What will be the complexity of that solution?
class Solution:
def smallestTrimmedNumbers(
self, nums: List[str], queries: List[List[int]]
) -> List[int]:
ans = []
for k, t in queries:
x = nums[:]
for i, v in enumerate(x):
x[i] = v[-t:]
p = list(zip(x, range(len(x))))
p.sort(key=lambda v: (int(v[0]), v[1]))
ans.append(p[k - 1][1])
return ans
class Solution {
public int[] smallestTrimmedNumbers(String[] nums, int[][] queries) {
int n = queries.length;
int m = nums.length;
int[] ans = new int[n];
for (int i = 0; i < n; ++i) {
int k = queries[i][0], t = queries[i][1];
String[][] arr = new String[m][2];
for (int j = 0; j < m; ++j) {
arr[j][0] = nums[j].substring(nums[j].length() - t);
arr[j][1] = String.valueOf(j);
}
Arrays.sort(arr, (a, b) -> {
int x = a[0].compareTo(b[0]);
return x == 0 ? Long.compare(Integer.valueOf(a[1]), Integer.valueOf(b[1])) : x;
});
ans[i] = Integer.valueOf(arr[k - 1][1]);
}
return ans;
}
}