Medium
There is an m x n
binary grid matrix
with all the values set 0
initially. Design an algorithm to randomly pick an index (i, j)
where matrix[i][j] == 0
and flips it to 1
. All the indices (i, j)
where matrix[i][j] == 0
should be equally likely to be returned.
Optimize your algorithm to minimize the number of calls made to the built-in random function of your language and optimize the time and space complexity.
Implement the Solution
class:
Solution(int m, int n)
Initializes the object with the size of the binary matrix m
and n
.int[] flip()
Returns a random index [i, j]
of the matrix where matrix[i][j] == 0
and flips it to 1
.void reset()
Resets all the values of the matrix to be 0
.Example 1:
Input [“Solution”, “flip”, “flip”, “flip”, “reset”, “flip”] [[3, 1], [], [], [], [], []]
Output: [null, [1, 0], [2, 0], [0, 0], null, [2, 0]]
Explanation:
Solution solution = new Solution(3, 1);
solution.flip(); // return [1, 0], [0,0], [1,0], and [2,0] should be equally likely to be returned.
solution.flip(); // return [2, 0], Since [1,0] was returned, [2,0] and [0,0]
solution.flip(); // return [0, 0], Based on the previously returned indices, only [0,0] can be returned.
solution.reset(); // All the values are reset to 0 and can be returned.
solution.flip(); // return [2, 0], [0,0], [1,0], and [2,0] should be equally likely to be returned.
Constraints:
1 <= m, n <= 104
flip
.1000
calls will be made to flip
and reset
.import java.util.Random
@Suppress("kotlin:S2245")
class Solution(nRows: Int, private val cols: Int) {
private val total: Int
private val rand: Random = Random()
private val available: MutableSet<Int>
init {
available = HashSet()
total = nRows * cols
}
fun flip(): IntArray {
var x: Int = rand.nextInt(total)
while (available.contains(x)) {
x = rand.nextInt(total)
}
available.add(x)
return intArrayOf(x / cols, x % cols)
}
fun reset() {
available.clear()
}
}
/*
* Your Solution object will be instantiated and called as such:
* var obj = Solution(m, n)
* var param_1 = obj.flip()
* obj.reset()
*/