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2021-03-24 16:51:59 +00:00
parent 4e7045137c
commit 4e184cd95f
1 changed files with 28 additions and 36 deletions
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60
DynamicProgramming/LongestIncreasingSubsequence.java
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@ -17,7 +17,6 @@ public class LongestIncreasingSubsequence {
System.out.println(LIS(arr)); System.out.println(LIS(arr));
System.out.println(findLISLen(arr)); System.out.println(findLISLen(arr));
sc.close(); sc.close();
} }
private static int upperBound(int[] ar, int l, int r, int key) { private static int upperBound(int[] ar, int l, int r, int key) {
@ -59,39 +58,32 @@ public class LongestIncreasingSubsequence {
return length; return length;
} }
/** @author Alon Firestein (https://github.com/alonfirestein) */ /** @author Alon Firestein (https://github.com/alonfirestein) */
// A function for finding the length of the LIS algorithm in O(nlogn) complexity. // A function for finding the length of the LIS algorithm in O(nlogn) complexity.
public static int findLISLen(int a[]) { public static int findLISLen(int a[]) {
int size = a.length; int size = a.length;
int arr[] = new int[size]; int arr[] = new int[size];
arr[0] = a[0]; arr[0] = a[0];
int lis = 1; int lis = 1;
for (int i = 1; i < size; i++) { for (int i = 1; i < size; i++) {
int index = binarySearchBetween(arr, lis, a[i]); int index = binarySearchBetween(arr, lis, a[i]);
arr[index] = a[i]; arr[index] = a[i];
if (index > lis) if (index > lis) lis++;
lis++; }
} return lis;
return lis; }
}
// O(logn) // O(logn)
private static int binarySearchBetween(int[] t, int end, int key) { private static int binarySearchBetween(int[] t, int end, int key) {
int left = 0; int left = 0;
int right = end; int right = end;
if (key < t[0]) if (key < t[0]) return 0;
return 0; if (key > t[end]) return end + 1;
if (key > t[end]) while (left < right - 1) {
return end + 1; int middle = (left + right) / 2;
while (left < right - 1) { if (t[middle] < key) left = middle;
int middle = (left + right) / 2; else right = middle;
if (t[middle] < key) }
left = middle; return right;
else }
right = middle;
}
return right;
}
} }