Medium
You are given an array of non-negative integers nums
and an integer k
. In one operation, you may choose any element from nums
and increment it by 1
.
Return the maximum product of nums
after at most k
operations. Since the answer may be very large, return it modulo 109 + 7
. Note that you should maximize the product before taking the modulo.
Example 1:
Input: nums = [0,4], k = 5
Output: 20
Explanation: Increment the first number 5 times.
Now nums = [5, 4], with a product of 5 * 4 = 20.
It can be shown that 20 is maximum product possible, so we return 20.
Note that there may be other ways to increment nums to have the maximum product.
Example 2:
Input: nums = [6,3,3,2], k = 2
Output: 216
Explanation: Increment the second number 1 time and increment the fourth number 1 time.
Now nums = [6, 4, 3, 3], with a product of 6 * 4 * 3 * 3 = 216.
It can be shown that 216 is maximum product possible, so we return 216.
Note that there may be other ways to increment nums to have the maximum product.
Constraints:
1 <= nums.length, k <= 105
0 <= nums[i] <= 106
import java.util.PriorityQueue;
public class Solution {
public int maximumProduct(int[] nums, int k) {
PriorityQueue<Integer> pq = new PriorityQueue<>();
for (int num : nums) {
pq.add(num);
}
while (k-- > 0) {
pq.add(pq.poll() + 1);
}
long ans = 1;
int mod = 1000000007;
while (!pq.isEmpty()) {
ans = (ans * pq.poll()) % mod;
}
return (int) ans;
}
}