Last active
July 9, 2018 14:40
-
-
Save sreeprasad/7052791bcf85608f9929445dba016e89 to your computer and use it in GitHub Desktop.
subset sum problem in SPOJ
This file contains hidden or 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
import java.util.Scanner; | |
import java.util.Arrays; | |
import java.util.Comparator; | |
class Main { | |
private static Scanner sc; | |
// input number in array of size N | |
private static long[] input(int N){ | |
long array [] = new long[N]; | |
for(int i=0;i<N;i++){ | |
array[i] = sc.nextLong(); | |
} | |
return array; | |
} | |
// find all subset sum of array | |
private static Long[] findSubsetSum(long[] array){ | |
int N = array.length; | |
int range = 1<<N; | |
Long [] result = new Long[range]; | |
for(int i=0;i<range;i++){ | |
long sum=0; | |
for(int j=0;j<N;j++){ | |
if((i&(1<<j))>0){ | |
sum+=array[j]; | |
} | |
} | |
result[i]=sum; | |
} | |
return result; | |
} | |
public static void main(String abc[]) { | |
int N; // N is size of array | |
sc = new Scanner(System.in); | |
N = sc.nextInt(); | |
long A,B; | |
A = sc.nextLong(); | |
B = sc.nextLong(); | |
int N1 = N/2; | |
int N2 = N-N1; | |
// input the array in to 2 halves of size N/2 each | |
long []v1 = input(N1); | |
long []v2 = input(N2); | |
// find the subset sum for each half | |
Long[] sv1 = findSubsetSum(v1); | |
Long[] sv2 = findSubsetSum(v2); | |
// for binary search, sort sv2 | |
Arrays.sort(sv2); | |
long ans=0; | |
for(int i=0;i<sv1.length;i++){ | |
long start = A - sv1[i]; | |
long end = B - sv1[i]; | |
int low = Arrays.binarySearch(sv2, start, new Comparator<Long>(){ | |
public int compare(Long a, Long b){ | |
return a>=b ? 1: -1; | |
} | |
}); // lower bound | |
int hi = Arrays.binarySearch(sv2, end, new Comparator<Long>() { | |
public int compare(Long a, Long b){ | |
return a>b ? 1 : -1; | |
} | |
}); // upper bound | |
// fetch the actual index | |
int lv1 = (low>=0) ? low : ~low; | |
int lv2 = (hi>=0) ? hi : ~hi; | |
// check for edge case | |
lv2 = (lv2==sv2.length) ? lv2-- : lv2; | |
lv1 = (lv1==sv2.length) ? lv1-- : lv1; | |
ans += (lv2-lv1); | |
} | |
System.out.println(ans); | |
} | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment