#C9040. Finding the Smallest Element Larger than k
Finding the Smallest Element Larger than k
Finding the Smallest Element Larger than k
You are given an n × n matrix of integers with 2 \le n \le 100
and an integer k. Your task is to find the smallest element in the matrix that is strictly larger than k. If no such element exists, output -1.
Problem Details:
- The matrix is provided as
n
rows withn
space-separated integers each. - You need to process multiple test cases.
- If there is more than one element larger than k, output the minimum among them. If no element is larger than k, output
-1
.
In mathematical notation, if the matrix is denoted as \(A\) and \(k\) is the reference integer, you need to compute:
[ \min{a_{ij} \mid a_{ij} > k} ]
with the convention that if the set is empty, the answer is \(-1\).
inputFormat
The first line of the input contains an integer T
indicating the number of test cases.
For each test case, the first line contains two integers n
and k
, where n
is the dimension of the matrix and k
is the reference number.
This is followed by n
lines, each containing n
space-separated integers representing the rows of the matrix.
Input Format Example:
T n k a11 a12 ... a1n a21 a22 ... a2n ... an1 an2 ... ann
outputFormat
For each test case, output a single line containing the smallest element in the matrix that is larger than k
. If no such element exists, output -1
.
Output Format Example:
result1 result2 ... resultT## sample
1
3 5
1 6 3
7 4 9
2 8 5
6
</p>