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2562. Find the Array Concatenation Value

Description

You are given a 0-indexed integer array nums.

The concatenation of two numbers is the number formed by concatenating their numerals.

  • For example, the concatenation of 15, 49 is 1549.

The concatenation value of nums is initially equal to 0. Perform this operation until nums becomes empty:

  • If there exists more than one number in nums, pick the first element and last element in nums respectively and add the value of their concatenation to the concatenation value of nums, then delete the first and last element from nums.
  • If one element exists, add its value to the concatenation value of nums, then delete it.

Return the concatenation value of the nums.

 

Example 1:

Input: nums = [7,52,2,4]
Output: 596
Explanation: Before performing any operation, nums is [7,52,2,4] and concatenation value is 0.
 - In the first operation:
We pick the first element, 7, and the last element, 4.
Their concatenation is 74, and we add it to the concatenation value, so it becomes equal to 74.
Then we delete them from nums, so nums becomes equal to [52,2].
 - In the second operation:
We pick the first element, 52, and the last element, 2.
Their concatenation is 522, and we add it to the concatenation value, so it becomes equal to 596.
Then we delete them from the nums, so nums becomes empty.
Since the concatenation value is 596 so the answer is 596.

Example 2:

Input: nums = [5,14,13,8,12]
Output: 673
Explanation: Before performing any operation, nums is [5,14,13,8,12] and concatenation value is 0.
 - In the first operation:
We pick the first element, 5, and the last element, 12.
Their concatenation is 512, and we add it to the concatenation value, so it becomes equal to 512.
Then we delete them from the nums, so nums becomes equal to [14,13,8].
 - In the second operation:
We pick the first element, 14, and the last element, 8.
Their concatenation is 148, and we add it to the concatenation value, so it becomes equal to 660.
Then we delete them from the nums, so nums becomes equal to [13].
 - In the third operation:
nums has only one element, so we pick 13 and add it to the concatenation value, so it becomes equal to 673.
Then we delete it from nums, so nums become empty.
Since the concatenation value is 673 so the answer is 673.

 

Constraints:

  • 1 <= nums.length <= 1000
  • 1 <= nums[i] <= 104

 

Solutions

Solution 1: Simulation

Starting from both ends of the array, we take out one element at a time, concatenate it with another element, and then add the concatenated result to the answer. We repeat this process until the array is empty.

The time complexity is $O(n \times \log M)$, and the space complexity is $O(\log M)$. Here, $n$ and $M$ are the length of the array and the maximum value in the array, respectively.

  • class Solution {
    public long findTheArrayConcVal(int[] nums) {
        long ans = 0;
        int i = 0, j = nums.length - 1;
        for (; i < j; ++i, --j) {
            ans += Integer.parseInt(nums[i] + "" + nums[j]);
        }
        if (i == j) {
            ans += nums[i];
        }
        return ans;
    }
}

  • class Solution {
public:
    long long findTheArrayConcVal(vector<int>& nums) {
        long long ans = 0;
        int i = 0, j = nums.size() - 1;
        for (; i < j; ++i, --j) {
            ans += stoi(to_string(nums[i]) + to_string(nums[j]));
        }
        if (i == j) {
            ans += nums[i];
        }
        return ans;
    }
};

  • class Solution:
    def findTheArrayConcVal(self, nums: List[int]) -> int:
        ans = 0
        i, j = 0, len(nums) - 1
        while i < j:
            ans += int(str(nums[i]) + str(nums[j]))
            i, j = i + 1, j - 1
        if i == j:
            ans += nums[i]
        return ans


  • func findTheArrayConcVal(nums []int) (ans int64) {
	i, j := 0, len(nums)-1
	for ; i < j; i, j = i+1, j-1 {
		x, _ := strconv.Atoi(strconv.Itoa(nums[i]) + strconv.Itoa(nums[j]))
		ans += int64(x)
	}
	if i == j {
		ans += int64(nums[i])
	}
	return
}

  • function findTheArrayConcVal(nums: number[]): number {
    const n = nums.length;
    let ans = 0;
    let i = 0;
    let j = n - 1;
    while (i < j) {
        ans += Number(`${nums[i]}${nums[j]}`);
        i++;
        j--;
    }
    if (i === j) {
        ans += nums[i];
    }
    return ans;
}


  • impl Solution {
    pub fn find_the_array_conc_val(nums: Vec<i32>) -> i64 {
        let n = nums.len();
        let mut ans = 0;
        let mut i = 0;
        let mut j = n - 1;
        while i < j {
            ans += format!("{}{}", nums[i], nums[j]).parse::<i64>().unwrap();
            i += 1;
            j -= 1;
        }
        if i == j {
            ans += nums[i] as i64;
        }
        ans
    }
}

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