How to Solve Find the Number of Distinct Colors Among the Balls Problem
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Find the Number of Distinct Colors Among the Balls
You are given an integer limit and a 2D array queries of size n x 2. There are limit + 1 balls with distinct labels in the range [0, limit]. Initially, all balls are uncolored. For every query in quer...
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Problem Statement
You are given an integer limit and a 2D array queries of size n x 2. There are limit + 1 balls with distinct labels in the range [0, limit]. Initially, all balls are uncolored. For every query in queries that is of the form [x, y], you mark ball x with the color y. After each query, you need to find the number of colors among the balls. Return an array result of length n, where result[i] denotes the number of colors after ith query. Note that when answering a query, lack of a color will not be considered as a color.
Find the Number of Distinct Colors Among the Balls
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Examples
limit = 4, queries = [[1,4],[2,5],[1,3],[3,4]]
[1,2,2,3]
After query 0, ball 1 has color 4. After query 1, ball 1 has color 4, and ball 2 has color 5. After query 2, ball 1 has color 3, and ball 2 has color 5. After query 3, ball 1 has color 3, ball 2 has color 5, and ball 3 has color 4.
limit = 4, queries = [[0,1],[1,2],[2,2],[3,4],[4,5]]
[1,2,2,3,4]
After query 0, ball 0 has color 1. After query 1, ball 0 has color 1, and ball 1 has color 2. After query 2, ball 0 has color 1, and balls 1 and 2 have color 2. After query 3, ball 0 has color 1, balls 1 and 2 have color 2, and ball 3 has color 4. After query 4, ball 0 has color 1, balls 1 and 2 have color 2, ball 3 has color 4, and ball 4 has color 5.
Constraints
1 <= limit <= 109
1 <= n == queries.length <= 105
queries[i].length == 2
0 <= queries[i][0] <= limit
1 <= queries[i][1] <= 109
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