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subset_sum
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72 lines (64 loc) · 1.75 KB
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/* This code is contributed by Avinash Prasad (GitHub : avinash11a) */
// A Dynamic Programming solution for subset
// sum problem
import java.util.Scanner;
class Solution {
// Returns true if there is a subset of
// set[] with sum equal to given sum
static boolean isSubsetSum(int set[],
int n, int sum)
{
// The value of subset[i][j] will be
// true if there is a subset of
// set[0..j-1] with sum equal to i
boolean subset[][] =
new boolean[sum+1][n+1];
// If sum is 0, then answer is true
for (int i = 0; i <= n; i++)
subset[0][i] = true;
// If sum is not 0 and set is empty,
// then answer is false
for (int i = 1; i <= sum; i++)
subset[i][0] = false;
// Fill the subset table in botton
// up manner
for (int i = 1; i <= sum; i++)
{
for (int j = 1; j <= n; j++)
{
subset[i][j] = subset[i][j-1];
if (i >= set[j-1])
subset[i][j] = subset[i][j] ||
subset[i - set[j-1]][j-1];
}
}
/* // uncomment this code to print table
for (int i = 0; i <= sum; i++)
{
for (int j = 0; j <= n; j++)
System.out.println (subset[i][j]);
} */
return subset[sum][n];
}
/* Driver program to test above function */
public static void main (String args[])
{
Scanner s = new Scanner(System.in);
int n; //Number of elements in the set
n = s.nextInt();
int set[] = new int[n];
for(int i=0;i<n;i++)
{
set[i] = s.nextInt();
}
int sum; //number for which the subset needs to be Found
sum = s.nextInt();
if (isSubsetSum(set, n, sum) == true)
System.out.println("Found a subset"
+ " with given sum");
else
System.out.println("No subset with"
+ " given sum");
}
}
/* This code is contributed by Avinash Prasad */