2045: [USACO 2025 February Contest, Bronze] Problem 2. Making Mexes
文件提交:无需freopen
内存限制:256 MB
时间限制:8.000 S
评测方式:普通裁判
命题人:
提交:1
解决:1
题目描述
You are given an array of non-negative integers (). In one operation, you can change any element of to any non-negative integer.
The mex of an array is the minimum non-negative integer that it does not contain. For each in the range to inclusive, compute the minimum number of operations you need in order to make the mex of equal .
输入
The first line contains .
The next line contains .
输出
For each in the range to , output the minimum number of operations for on a new line. Note that it is always possible to make the mex of equal to any in the range to .
样例输入
4
2 2 2 0
样例输出
1
0
3
1
2
提示
- To make the mex of equal to , we can change to (or any positive integer). In the resulting array, , is the smallest non-negative integer that the array does not contain, so is the mex of the array.
- To make the mex of equal to , we don't need to make any changes since is already the smallest non-negative integer that does not contain.
- To make the mex of equal to , we need to change the first three elements of . For example, we can change to be .
SCORING:
- Inputs 2-6:
- Inputs 7-11: No additional constraints.