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20 | 20 | import java.io.*; |
21 | 21 | public class MinimumSumPartition |
22 | 22 | { |
23 | | - public static void main (String[] args) |
24 | | - { |
25 | | - Scanner sc = new Scanner(System.in); |
26 | | - int t = sc.nextInt(); |
27 | | - while(t-->0) |
28 | | - { |
29 | | - int n = sc.nextInt(); |
30 | | - int arr[] = new int[n]; |
31 | | - int sum = 0; |
32 | | - for(int i = 0;i < n;i++) |
33 | | - { |
34 | | - arr[i] = sc.nextInt(); |
35 | | - sum += arr[i]; |
36 | | - } |
37 | | - int ans[] = new int[sum]; |
38 | | - ans = subset(arr,sum); |
39 | | - int min = Integer.MAX_VALUE; |
40 | | - for (int i = 0; i < ans.length; i++) |
41 | | - min = Math.min(min,(sum-2*ans[i])); |
42 | | - System.out.println(min); |
43 | | - } |
44 | | - sc.close(); |
45 | | - } |
46 | | - static int[] subset(int arr[],int sum) |
47 | | - { |
48 | | - int n = arr.length; |
49 | | - boolean dp[][] = new boolean[n+1][sum+1]; |
50 | | - for(int i = 0; i <= n; i++) |
51 | | - dp[i][0] = true; |
52 | | - for(int i = 1; i <= sum; i++) |
53 | | - dp[0][i] = false; |
54 | | - // subset sum concept |
55 | | - for(int i = 1; i <= n; i++) |
56 | | - { |
57 | | - for(int j = 1; j <= sum; j++) |
58 | | - { |
59 | | - if(arr[i-1] <= j) |
60 | | - dp[i][j] = dp[i-1][j-arr[i-1]] || dp[i-1][j]; |
61 | | - else |
62 | | - dp[i][j] = dp[i-1][j]; |
63 | | - } |
64 | | - } |
65 | | - //storing last dp column whose value is true till sum/2 |
66 | | - int index[] = new int[sum]; |
67 | | - int p = 0; |
68 | | - for(int i = 0 ; i <= sum / 2; i++) |
69 | | - { |
70 | | - if(dp[n][i] == true) |
71 | | - index[p++] = i; |
72 | | - } |
73 | | - return index; |
74 | | - } |
| 23 | + public static int subSet(int arr[]){ |
| 24 | + int n = arr.length; |
| 25 | + int sum = getSum(arr); |
| 26 | + boolean dp[][] = new boolean[n+1][sum+1]; |
| 27 | + for(int i = 0; i < n; i++){ |
| 28 | + dp[i][0] = true; |
| 29 | + } |
| 30 | + for(int j = 0; j < sum; j++){ |
| 31 | + dp[0][j] = false; |
| 32 | + } |
| 33 | + |
| 34 | + //fill dp array |
| 35 | + for(int i = 1; i <= n; i++){ |
| 36 | + for(int j = 1; j <= sum; j++){ |
| 37 | + if(arr[i-1] < j){ |
| 38 | + dp[i][j] = dp[i-1][j - arr[i-1]] || dp[i-1][j]; |
| 39 | + } |
| 40 | + else if(arr[i-1] == j){ |
| 41 | + dp[i][j] = true; |
| 42 | + } |
| 43 | + else{ |
| 44 | + dp[i][j] = dp[i-1][j]; |
| 45 | + } |
| 46 | + } |
| 47 | + } |
| 48 | + |
| 49 | + // fill the index array |
| 50 | + int index[] = new int[sum]; |
| 51 | + int p = 0; |
| 52 | + for(int i = 0; i <= sum / 2; i++){ |
| 53 | + if(dp[n][i]){ |
| 54 | + index[p++] = i; |
| 55 | + } |
| 56 | + } |
| 57 | + |
| 58 | + return getMin(index, sum); |
| 59 | + } |
| 60 | + |
| 61 | + public static int getSum(int arr[]){ |
| 62 | + if(arr.length <= 0){ |
| 63 | + return 0; |
| 64 | + } |
| 65 | + int sum = 0; |
| 66 | + for(int i = 0; i < arr.length; i++){ |
| 67 | + sum += arr[i]; |
| 68 | + } |
| 69 | + return sum; |
| 70 | + } |
| 71 | + |
| 72 | + public static int getMin(int arr[], int sum){ |
| 73 | + if(arr.length <= 0){ |
| 74 | + return 0; |
| 75 | + } |
| 76 | + int min = Integer.MAX_VALUE; |
| 77 | + for(int i = 0; i < arr.length; i++){ |
| 78 | + min = Math.min(min, (sum - 2*arr[i])); |
| 79 | + } |
| 80 | + return min; |
| 81 | + } |
| 82 | + |
| 83 | + public static void main(String args[]){ |
| 84 | + Scanner in = new Scanner(System.in); |
| 85 | + int n = in.nextInt(); |
| 86 | + int arr[] = new int[n]; |
| 87 | + for(int i = 0 ; i<n; i++){ |
| 88 | + arr[i] = in.nextInt(); |
| 89 | + } |
| 90 | + System.out.println(subSet(arr)); |
| 91 | + } |
75 | 92 | } |
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