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Copy pathmajorityElementMOORESVOTING.cpp
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136 lines (128 loc) · 2.88 KB
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#include <bits/stdc++.h>
using namespace std;
class BruteForce // Time : O(n*n) || Space: O(1)
{
public:
int majorityElement(vector<int> A)
{
int count = 0, majorityCount = 0;
for (int i = 0; i < A.size(); i++)
{
for (int j = 0; j < A.size(); j++)
{
if (A[i] == A[j])
{
count++;
}
}
if (count > A.size() / 2)
return A[i];
}
return -1;
}
};
class Hashmap //Time : O(n) || Space : O(n)
{
public:
int majorityElement(vector<int> A)
{
unordered_map<int, int> m;
for (int i : A)
{
m[i]++;
if (m[i] > (A.size() / 2))
{
return i;
}
}
return -1;
}
};
class Sort //Time : O(n*lgn) || Space : O(1)
{
public:
int majorityElement(vector<int> A)
{
sort(A.begin(), A.end());
return A[A.size() / 2];
}
};
class DivideAndConquer // Time : O(n*lgn) || Space : O(lgn)
{
public:
int countInRange(int A[], int num, int lo, int hi)
{
int c = 0;
for (int i = lo; i <= hi; i++)
{
if (A[i] == num)
c++;
}
return c;
}
int majorityElement(int A[], int lo, int hi)
{
if (lo == hi)
{
return A[lo];
}
int mid = lo + (hi - lo) / 2;
int left = majorityElement(A, lo, mid);
int right = majorityElement(A, mid + 1, hi);
// cout << left << " " << right << "\n";
// cout << "----------------------\n";
if (left == right)
{
return left;
}
int leftCount = countInRange(A, left, lo, mid);
int rightCount = countInRange(A, right, mid + 1, right);
return leftCount > rightCount ? left : right;
}
int majorityElement(int A[], int n)
{
return majorityElement(A, 0, n - 1);
}
};
class MooresVotingAlgorithm //Time : O(n) || Space : O(1)
{
public:
int majorityElement(int arr[], int n)
{
int maj_index = 0, cnt = 1;
for (int i = 1; i < n; i++)
{
cout << arr[maj_index] << " " << arr[i] << " count = " << cnt << "\n";
if (arr[maj_index] == arr[i])
{
cnt++;
}
else
{
cnt--;
}
if (cnt == 0)
{
maj_index = i;
cnt = 1;
}
}
if (count(arr, arr + n, arr[maj_index]) > n / 2)
return arr[maj_index];
return -1;
}
};
int main()
{
int n;
cin >> n;
int A[n];
for (int &i : A)
{
cin >> i;
}
MooresVotingAlgorithm b;
int ans = b.majorityElement(A, n);
cout << ans << " " << count(A, A + n, ans) << "\n";
return 0;
}