Medium
Given the following details of a matrix with n
columns and 2
rows :
0
or 1
.upper
.lower
.colsum[i]
, where colsum
is given as an integer array with length n
.Your task is to reconstruct the matrix with upper
, lower
and colsum
.
Return it as a 2-D integer array.
If there are more than one valid solution, any of them will be accepted.
If no valid solution exists, return an empty 2-D array.
Example 1:
Input: upper = 2, lower = 1, colsum = [1,1,1]
Output: [[1,1,0],[0,0,1]]
Explanation: [[1,0,1],[0,1,0]], and [[0,1,1],[1,0,0]] are also correct answers.
Example 2:
Input: upper = 2, lower = 3, colsum = [2,2,1,1]
Output: []
Example 3:
Input: upper = 5, lower = 5, colsum = [2,1,2,0,1,0,1,2,0,1]
Output: [[1,1,1,0,1,0,0,1,0,0],[1,0,1,0,0,0,1,1,0,1]]
Constraints:
1 <= colsum.length <= 10^5
0 <= upper, lower <= colsum.length
0 <= colsum[i] <= 2
class Solution {
fun reconstructMatrix(upper: Int, lower: Int, colsum: IntArray): List<MutableList<Int>> {
val res: MutableList<MutableList<Int>> = ArrayList()
val n = colsum.size
val upperRow = IntArray(n)
val lowerRow = IntArray(n)
var currentUpperSum = 0
var currentLowerSum = 0
for (i in 0 until n) {
if (colsum[i] >= 1) {
upperRow[i] = 1
lowerRow[i] = 1
currentUpperSum++
currentLowerSum++
}
}
for (i in 0 until n) {
if (colsum[i] == 1 && currentUpperSum > upper) {
currentUpperSum--
upperRow[i] = 0
}
}
for (i in upperRow.indices) {
if (colsum[i] == 1 && upperRow[i] == 1) {
currentLowerSum--
lowerRow[i] = 0
}
}
if (currentUpperSum != upper || currentLowerSum != lower) {
return res
}
res.add(ArrayList())
res.add(ArrayList())
for (i in 0 until n) {
res[0].add(upperRow[i])
res[1].add(lowerRow[i])
}
return res
}
}