## Monday, September 28, 2015

### LeetCode OJ - Subsets II

Problem:

Solution:

The odometer solution in this previous post worked just fine with one caveat. We should not double count some subsets, for example

Consider the input [1, 2, 2], for convenience, we mark it as [1, 2a, 2b], then

[1,2a] = [0, 1, 0]
[1,2b] = [0, 0, 1]

But they are really both just [1, 2], so we are double counting. The correct method would be

[1, 2a] = [0, 1]
[1, 2b] = [0, 1] // we will not double count this one as they have same odometer representation.
[1, 2a, 2b] = [0, 2] // and we will count this one!

Now we will not double count, we just need to make sure the digit overflow only when it overflow the number of occurrences of that number.

The blog posts in a row this morning, yay!

Code:

#include "stdafx.h"

// https://leetcode.com/problems/subsets-ii/

#include "LEET_SUBSETS_II.h"
#include <algorithm>
#include <iostream>
#include <sstream>
#include <vector>
#include <string>

using namespace std;

namespace _LEET_SUBSETS_II
{
class Solution
{
public:
vector<vector<int>> subsetsWithDup(vector<int>& nums)
{
vector<vector<int>> result;
if (nums.size() == 0)
{
return result;
}

sort(nums.begin(), nums.end());
vector<int> distinct_nums;
vector<int> distinct_nums_count;
distinct_nums.push_back(nums[0]);
distinct_nums_count.push_back(1);
for (unsigned int i = 1; i < nums.size(); i++)
{
if (nums[i] == nums[i - 1])
{
distinct_nums_count[distinct_nums_count.size() - 1]++;
}
else
{
distinct_nums.push_back(nums[i]);
distinct_nums_count.push_back(1);
}
}

int size = distinct_nums.size();
vector<int> bits;
bits.resize(size);
for (int i = 0; i < size; i++)
{
bits[i] = 0;
}
while (true)
{
vector<int> subset;
for (int i = 0; i < size; i++)
{
for (int j = 0; j < bits[i]; j++)
{
subset.push_back(distinct_nums[i]);
}
}
result.push_back(subset);
int digit = 0;
while (true)
{
if (bits[digit] == distinct_nums_count[digit])
{
bits[digit] = 0;
digit++;
}
else
{
bits[digit]++;
break;
}
if (digit == size)
{
return result;
}
}
}
}
};
};

using namespace _LEET_SUBSETS_II;

int LEET_SUBSETS_II()
{
Solution solution;
vector<int> nums;
nums.push_back(1);
nums.push_back(2);
nums.push_back(2);
vector<vector<int>> subsets = solution.subsetsWithDup(nums);
for (unsigned int i = 0; i < subsets.size(); i++)
{
for (unsigned int j = 0; j < subsets[i].size(); j++)
{
cout << subsets[i][j];
}
cout << endl;
}
return 0;
}