mkagenius's blog

By mkagenius, 11 years ago, In English

379F - New Year Tree

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I wanted to go into details — but it would have been a full 30 minutes. Any suggestion/query is welcome.

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11 years ago, # |
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I don't think your solution can pass the system test. I think it will be TLE. In the worst case, updating the nodes' information can be O(n); So it's O(q*n)? Did I misunderstand? :D

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    11 years ago, # ^ |
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    updating will take O(log(n)) per query. Something like:

    cin >> current_query_node;
    
    new_node_first = current_query_node + 1;
    new_node_second = new_node_first+1;
    P[new_node_first][0] = P[new_node_second][0] = current_query_node;
    for (j = 1; 1 << j < N; j++)
                     P[new_node_first][j] = P[new_node_second][j] = P[P[new_node_first][j - 1]][j - 1];
    

    So, we are building the data structure for LCA incrementally after each query.

    For more info check out "Another easy solution in <O(N logN, O(logN)>" section on TC