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Find the length of longest increasing subsequence of a given array
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import java.util.Arrays; | |
public class LongestIncreasingSubsequence { | |
public static void main(String[] args) { | |
System.out.println(longestIncreasingSubsequence(null)); //Expected 0 | |
System.out.println(longestIncreasingSubsequence(new int[]{})); //Expected 0 | |
System.out.println(longestIncreasingSubsequence(new int[]{1})); //Expected 1 | |
System.out.println(longestIncreasingSubsequence(new int[]{1, 5, 10})); //Expected 3 | |
System.out.println(longestIncreasingSubsequence(new int[]{1, 5, 2, 7, 6, 8})); //Expected 4 | |
System.out.println(longestIncreasingSubsequence(new int[]{6, 1, 7, 3, 9, 4, 11, 13})); //Expected 5 | |
System.out.println(longestIncreasingSubsequence(new int[]{10, 22, 9, 33, 21, 50, 41, 60, 80})); //Expected 6 | |
System.out.println(longestIncreasingSubsequence(new int[]{5, 4, 1, 2, 3})); //Expected 3 | |
System.out.println(longestIncreasingSubsequence(new int[]{5, 2})); //Expected 1 | |
System.out.println(longestIncreasingSubsequence(new int[]{0, 1, 2, 0, 1, 3})); //Expected 4 | |
System.out.println(longestIncreasingSubsequence(new int[]{0, 1, 2, 3, 4, 5, 1, 3, 8})); //Expected 7 | |
} | |
/* | |
O(n^2) implementation - Dynamic programming | |
*/ | |
private static int longestIncreasingSubsequence(int[] arr) { | |
int maxLength = 0; | |
if (arr != null && arr.length > 0) { | |
int[] longestSoFar = new int[arr.length]; | |
longestSoFar[0] = 1; | |
for (int i = 1; i < arr.length; ++i) { | |
for (int j = i - 1; j >= 0; j--) { | |
if (arr[j] < arr[i] && longestSoFar[j] > longestSoFar[i]) { | |
longestSoFar[i] = longestSoFar[j]; | |
} | |
} | |
// longestSoFar[i] contains the length of the longest increasing subsequence | |
// for all j < i and arr[j] < arr[i], so include arr[i] also | |
longestSoFar[i]++; | |
} | |
maxLength = Arrays.stream(longestSoFar).max().getAsInt(); | |
} | |
return maxLength; | |
} | |
} |
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