-
Notifications
You must be signed in to change notification settings - Fork 0
/
004_SubsetSumProblem.cpp
96 lines (89 loc) · 1.78 KB
/
004_SubsetSumProblem.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
#include <bits/stdc++.h>
using namespace std;
void printDP()
{
}
bool subsetSum(vector<int> arr, int sum)
{
// int n = arr.size() + 1;
int **SS = new int *[arr.size() + 1];
for (int i = 0; i < arr.size() + 1; i++)
{
SS[i] = new int[sum + 1];
}
for (int i = 0; i < sum; i++)
{
SS[0][i] = 0;
}
for (int i = 0; i < sum; i++)
{
SS[i][0] = 1;
}
for (int i = 1; i <= arr.size(); i++)
{
for (int j = 1; j <= sum; j++)
{
if (SS[i - 1][j] == 1)
{
SS[i][j] = 1;
}
else if (arr[i - 1] > j)
{
SS[i][j] = 0;
}
else
{
SS[i][j] = SS[i - 1][j - arr[i - 1]];
}
}
}
cout << endl << endl;
cout << " " ;
for (int i = 0; i < sum + 1; i++)
{
cout<< i << " ";
}
cout << endl;
cout << " __" ;
for (int i = 0; i < sum + 1; i++)
{
cout<< "__";
}
cout << endl;
for (int i = 0; i < arr.size() + 1; i++)
{
cout << i << " | ";
for (int j = 0; j < sum + 1; j++)
{
cout << SS[i][j] << " ";
}
cout << endl;
}
return 1;
}
int main()
{
vector<int> arr;
int n;
cout << "Enter array size: ";
cin >> n;
int val;
int sum;
cout << "Enter array elements:" << endl;
for (int i = 0; i < n; i++)
{
cin >> val;
arr.push_back(val);
}
cout << "Enter the subset sum: ";
cin >> sum;
int ret = subsetSum(arr, sum);
if (ret == 1)
{
cout << "Subset exists that can sum to " << sum << endl;
}
else
{
cout << "No subset exists that can sum to " << sum << endl;
}
}