Easy
You are given a 0-indexed two-dimensional integer array nums
.
Return the largest prime number that lies on at least one of the diagonals of nums
. In case, no prime is present on any of the diagonals, return 0.
Note that:
1
and has no positive integer divisors other than 1
and itself.val
is on one of the diagonals of nums
if there exists an integer i
for which nums[i][i] = val
or an i
for which nums[i][nums.length - i - 1] = val
.In the above diagram, one diagonal is [1,5,9] and another diagonal is [3,5,7].
Example 1:
Input: nums = [[1,2,3],[5,6,7],[9,10,11]]
Output: 11
Explanation: The numbers 1, 3, 6, 9, and 11 are the only numbers present on at least one of the diagonals. Since 11 is the largest prime, we return 11.
Example 2:
Input: nums = [[1,2,3],[5,17,7],[9,11,10]]
Output: 17
Explanation: The numbers 1, 3, 9, 10, and 17 are all present on at least one of the diagonals. 17 is the largest prime, so we return 17.
Constraints:
1 <= nums.length <= 300
nums.length == numsi.length
1 <= nums[i][j] <= 4*106
class Solution {
fun diagonalPrime(nums: Array<IntArray>): Int {
var i = 0
var j = nums[0].size - 1
var lp = 0
while (i < nums.size) {
val n1 = nums[i][i]
if (n1 > lp && isPrime(n1)) {
lp = n1
}
val n2 = nums[i][j]
if (n2 > lp && isPrime(n2)) {
lp = n2
}
i++
j--
}
return lp
}
private fun isPrime(n: Int): Boolean {
if (n == 1) {
return false
}
if (n == 2 || n == 3) {
return true
}
var i = 2
while (i <= Math.sqrt(n.toDouble())) {
if (n % i == 0) {
return false
}
i++
}
return true
}
}