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Russian Doll Envelopes

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You are given a 2D array of integers envelopes where envelopes[i] = [wi, hi] represents the width and the height of an envelope.

One envelope can fit into another if and only if both the width and height of one envelope are greater than the other envelope's width and height.

Return the maximum number of envelopes you can Russian doll (i.e., put one inside the other).

Note: You cannot rotate an envelope.

public int maxEnvelopes(int[][] envelopes) {
    if(envelopes == null || envelopes.length == 0 
       || envelopes[0] == null || envelopes[0].length != 2)
        return 0;
    Arrays.sort(envelopes, new Comparator<int[]>(){
        public int compare(int[] arr1, int[] arr2){
            if(arr1[0] == arr2[0])
                return arr2[1] - arr1[1];
            else
                return arr1[0] - arr2[0];
       } 
    });
    int dp[] = new int[envelopes.length];
    int len = 0;
    for(int[] envelope : envelopes){
        int index = Arrays.binarySearch(dp, 0, len, envelope[1]);
        if(index < 0)
            index = -(index + 1);
        dp[index] = envelope[1];
        if(index == len)
            len++;
    }
    return len;
}

Python solution with similar method:

Posted by Jamie Meyer 6 months ago

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