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2672. Number of Adjacent Elements With the Same Color

Description

You are given an integer n representing an array colors of length n where all elements are set to 0's meaning uncolored. You are also given a 2D integer array queries where queries[i] = [indexi, colori]. For the ith query:

  • Set colors[indexi] to colori.
  • Count the number of adjacent pairs in colors which have the same color (regardless of colori).

Return an array answer of the same length as queries where answer[i] is the answer to the ith query.

 

Example 1:

Input: n = 4, queries = [[0,2],[1,2],[3,1],[1,1],[2,1]]

Output: [0,1,1,0,2]

Explanation:

  • Initially array colors = [0,0,0,0], where 0 denotes uncolored elements of the array.
  • After the 1st query colors = [2,0,0,0]. The count of adjacent pairs with the same color is 0.
  • After the 2nd query colors = [2,2,0,0]. The count of adjacent pairs with the same color is 1.
  • After the 3rd query colors = [2,2,0,1]. The count of adjacent pairs with the same color is 1.
  • After the 4th query colors = [2,1,0,1]. The count of adjacent pairs with the same color is 0.
  • After the 5th query colors = [2,1,1,1]. The count of adjacent pairs with the same color is 2.

Example 2:

Input: n = 1, queries = [[0,100000]]

Output: [0]

Explanation:

After the 1st query colors = [100000]. The count of adjacent pairs with the same color is 0.

 

Constraints:

  • 1 <= n <= 105
  • 1 <= queries.length <= 105
  • queries[i].length == 2
  • 0 <= indexi <= n - 1
  • 1 <=  colori <= 105

Solutions

Solution 1

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class Solution:
    def colorTheArray(self, n: int, queries: List[List[int]]) -> List[int]:
        nums = [0] * n
        ans = [0] * len(queries)
        x = 0
        for k, (i, c) in enumerate(queries):
            if i > 0 and nums[i] and nums[i - 1] == nums[i]:
                x -= 1
            if i < n - 1 and nums[i] and nums[i + 1] == nums[i]:
                x -= 1
            if i > 0 and nums[i - 1] == c:
                x += 1
            if i < n - 1 and nums[i + 1] == c:
                x += 1
            ans[k] = x
            nums[i] = c
        return ans

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class Solution {
    public int[] colorTheArray(int n, int[][] queries) {
        int m = queries.length;
        int[] nums = new int[n];
        int[] ans = new int[m];
        for (int k = 0, x = 0; k < m; ++k) {
            int i = queries[k][0], c = queries[k][1];
            if (i > 0 && nums[i] > 0 && nums[i - 1] == nums[i]) {
                --x;
            }
            if (i < n - 1 && nums[i] > 0 && nums[i + 1] == nums[i]) {
                --x;
            }
            if (i > 0 && nums[i - 1] == c) {
                ++x;
            }
            if (i < n - 1 && nums[i + 1] == c) {
                ++x;
            }
            ans[k] = x;
            nums[i] = c;
        }
        return ans;
    }
}

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class Solution {
public:
    vector<int> colorTheArray(int n, vector<vector<int>>& queries) {
        vector<int> nums(n);
        vector<int> ans;
        int x = 0;
        for (auto& q : queries) {
            int i = q[0], c = q[1];
            if (i > 0 && nums[i] > 0 && nums[i - 1] == nums[i]) {
                --x;
            }
            if (i < n - 1 && nums[i] > 0 && nums[i + 1] == nums[i]) {
                --x;
            }
            if (i > 0 && nums[i - 1] == c) {
                ++x;
            }
            if (i < n - 1 && nums[i + 1] == c) {
                ++x;
            }
            ans.push_back(x);
            nums[i] = c;
        }
        return ans;
    }
};

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func colorTheArray(n int, queries [][]int) (ans []int) {
    nums := make([]int, n)
    x := 0
    for _, q := range queries {
        i, c := q[0], q[1]
        if i > 0 && nums[i] > 0 && nums[i-1] == nums[i] {
            x--
        }
        if i < n-1 && nums[i] > 0 && nums[i+1] == nums[i] {
            x--
        }
        if i > 0 && nums[i-1] == c {
            x++
        }
        if i < n-1 && nums[i+1] == c {
            x++
        }
        ans = append(ans, x)
        nums[i] = c
    }
    return
}

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function colorTheArray(n: number, queries: number[][]): number[] {
    const nums: number[] = new Array(n).fill(0);
    const ans: number[] = [];
    let x = 0;
    for (const [i, c] of queries) {
        if (i > 0 && nums[i] > 0 && nums[i - 1] == nums[i]) {
            --x;
        }
        if (i < n - 1 && nums[i] > 0 && nums[i + 1] == nums[i]) {
            --x;
        }
        if (i > 0 && nums[i - 1] == c) {
            ++x;
        }
        if (i < n - 1 && nums[i + 1] == c) {
            ++x;
        }
        ans.push(x);
        nums[i] = c;
    }
    return ans;
}

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