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.
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.
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.
1 <= nums.length, k <= 105
0 <= nums[i] <= 106
use std::collections::BinaryHeap;
impl Solution {
pub fn maximum_product(nums: Vec<i32>, k: i32) -> i32 {
let mut nums = nums.into_iter().map(|num| -num).collect::<BinaryHeap<_>>();
for _ in 0..k {
*nums.peek_mut().unwrap() -= 1;
}
nums.iter()
.fold(1, |acc, x| acc * (-x as i64) % 1_000_000_007) as i32
}
}