-
-
Save fahied/f347d9d3cca245dd9024 to your computer and use it in GitHub Desktop.
to find the longest increasing contiguous subsequence
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
#include <iostream> | |
#include <string.h> | |
#include <stdio.h> | |
#include <stdlib.h> | |
using namespace std; | |
#define ARRAY_SIZE(A) sizeof(A)/sizeof(A[0]) | |
//-------------------------------------------- Reverse Array Using Pointer ----------------------------------------------// | |
void printArray (int *array) | |
{ | |
/* loop until null is found */ | |
for(int i = 0; array[ i ]; i++) | |
{ | |
printf("%d", array[ i ]); | |
} | |
} | |
//-------------------------------------------- Reverse Array Using Pointer ----------------------------------------------// | |
void reverse_array(int *pointer, int n) | |
{ | |
int *s, c, d; | |
s = (int*)malloc(sizeof(int)*n); | |
if( s == NULL ) | |
exit(0); | |
for ( c = n - 1, d = 0 ; c >= 0 ; c--, d++ ) | |
*(s+d) = *(pointer+c); | |
for ( c = 0 ; c < n ; c++ ) | |
*(pointer+c) = *(s+c); | |
free(s); | |
} | |
//-------------------------------------------- Find Ceil Index ----------------------------------------------// | |
// Binary search (note boundaries in the caller) | |
// A[] is ceilIndex in the caller | |
int CeilIndex(int A[], int l, int r, int key) { | |
int m; | |
while( r - l > 1 ) { | |
m = l + (r - l)/2; | |
(A[m] >= key ? r : l) = m; // ternary expression returns an l-value | |
} | |
return r; | |
} | |
//-------------------------------------- Lonest Increasing Subsequence Length -----------------------------------// | |
int LongestIncreasingSubsequenceLength(int A[], int size) { | |
// Add boundary case, when array size is one | |
int *tailTable = new int[size]; | |
int len; // always points empty slot | |
memset(tailTable, 0, sizeof(tailTable[0])*size); | |
tailTable[0] = A[0]; | |
len = 1; | |
for( int i = 1; i < size; i++ ) { | |
if( A[i] < tailTable[0] ) | |
// new smallest value | |
tailTable[0] = A[i]; | |
else if( A[i] > tailTable[len-1] ) | |
// A[i] wants to extend largest subsequence | |
tailTable[len++] = A[i]; | |
else | |
// A[i] wants to be current end candidate of an existing subsequence | |
// It will replace ceil value in tailTable | |
tailTable[CeilIndex(tailTable, -1, len-1, A[i])] = A[i]; | |
} | |
reverse_array(tailTable, len); | |
printArray(tailTable); | |
delete[] tailTable; | |
return len; | |
} | |
int main() { | |
int A[] = { 2, 5, 3, 7, 11, 8, 10, 13, 6 }; | |
int n = ARRAY_SIZE(A); | |
printf("Length of Longest Increasing Subsequence is %d\n", | |
LongestIncreasingSubsequenceLength(A, n)); | |
return 0; | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment