Package g1601_1700.s1605_find_valid_matrix_given_row_and_column_sums

Class Solution

java.lang.Object

g1601_1700.s1605_find_valid_matrix_given_row_and_column_sums.Solution

public class Solution
extends Object

1605 - Find Valid Matrix Given Row and Column Sums.<p>Medium</p> <p>You are given two arrays <code>rowSum</code> and <code>colSum</code> of non-negative integers where <code>rowSum[i]</code> is the sum of the elements in the <code>i^th</code> row and <code>colSum[j]</code> is the sum of the elements of the <code>j^th</code> column of a 2D matrix. In other words, you do not know the elements of the matrix, but you do know the sums of each row and column.</p> <p>Find any matrix of <strong>non-negative</strong> integers of size <code>rowSum.length x colSum.length</code> that satisfies the <code>rowSum</code> and <code>colSum</code> requirements.</p> <p>Return <em>a 2D array representing <strong>any</strong> matrix that fulfills the requirements</em>. It&rsquo;s guaranteed that <strong>at least one</strong> matrix that fulfills the requirements exists.</p> <p><strong>Example 1:</strong></p> <p><strong>Input:</strong> rowSum = [3,8], colSum = [4,7]</p> <p><strong>Output:</strong> [[3,0], [1,7]]</p> <p><strong>Explanation:</strong></p> <p>0^th row: 3 + 0 = 3 == rowSum[0]</p> <p>1^st row: 1 + 7 = 8 == rowSum[1]</p> <p>0^th column: 3 + 1 = 4 == colSum[0]</p> <p>1^st column: 0 + 7 = 7 == colSum[1]</p> <p>The row and column sums match, and all matrix elements are non-negative.</p> <p>Another possible matrix is: [[1,2], [3,5]]</p> <p><strong>Example 2:</strong></p> <p><strong>Input:</strong> rowSum = [5,7,10], colSum = [8,6,8]</p> <p><strong>Output:</strong> [[0,5,0], [6,1,0], [2,0,8]]</p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= rowSum.length, colSum.length <= 500</code></li> <li><code>0 <= rowSum[i], colSum[i] <= 10⁸</code></li> <li><code>sum(rows) == sum(columns)</code></li> </ul>

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int[][]	restoreMatrix(int[] rowSum, int[] colSum)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

Solution

public Solution()

Method Details

restoreMatrix

public int[][] restoreMatrix(int[] rowSum,
 int[] colSum)