We were discussing maximum sum rectangle in a 2d array. There is a technique called Kadane's algorithm that we can use to find this sum. The algorithm returns the maximum sum and stores the starting and ending indexes
int kadane(List<int>num, ref int start, ref int end, int n)
{
int sum = 0;
int max = INT_MIN;
end = -1;
int cur = 0,
for (int i = 0; i < n; i++)
{
sum += num[i];
if sum < 0){
sum = 0;
cur = i + 1;
}else if (sum > max ){
max = sum;
start = cur;
end = i;
}
}
if (end != -1)
return max;
max = num[0];
start = 0;
end = 0;
// find the max element
for (int i = 1; i < n; i++)
if (num[i] > max){
max = num[i];
start = i;
end = i;
}
return max;
}
This can also be written as
def max_subarray(A):
max_ending_here = max_so_far = 0;
for x in A:
max_ending_here = max(0, max_ending_here+x)
max_so_far = max(max_so_far, max_ending_here)
return max_so_far
#courtesy online resources
2) Check if two strings are anagrams of each other
bool AreAnagrams(String first, String second)
{
var h1 = new HashTable()
var h2 = new HashTable()
for (int i =0;i < first.length; i++)
h1[first[i]] +=1;
for (int i =0;i < second.length; i++)
h2[second[i]] +=1;
Bool getRepeatedChars(string A)
{
var h1 = new HashTable()
for (int i =0;i < first.length; i++)
h1[first[i]] +=1;
Var ret = new List<int>();
For (int i =0;i < h1.keys.length; i++)
{
If h1.vals[i] > 1
Ret.add(keys[i]);
}
Return ret.sort();
}
int kadane(List<int>num, ref int start, ref int end, int n)
{
int sum = 0;
int max = INT_MIN;
end = -1;
int cur = 0,
for (int i = 0; i < n; i++)
{
sum += num[i];
if sum < 0){
sum = 0;
cur = i + 1;
}else if (sum > max ){
max = sum;
start = cur;
end = i;
}
}
if (end != -1)
return max;
max = num[0];
start = 0;
end = 0;
// find the max element
for (int i = 1; i < n; i++)
if (num[i] > max){
max = num[i];
start = i;
end = i;
}
return max;
}
This can also be written as
def max_subarray(A):
max_ending_here = max_so_far = 0;
for x in A:
max_ending_here = max(0, max_ending_here+x)
max_so_far = max(max_so_far, max_ending_here)
return max_so_far
#courtesy online resources
2) Check if two strings are anagrams of each other
bool AreAnagrams(String first, String second)
{
var h1 = new HashTable()
var h2 = new HashTable()
for (int i =0;i < first.length; i++)
h1[first[i]] +=1;
for (int i =0;i < second.length; i++)
h2[second[i]] +=1;
return h1.IsEqual(h2);
}Bool getRepeatedChars(string A)
{
var h1 = new HashTable()
for (int i =0;i < first.length; i++)
h1[first[i]] +=1;
Var ret = new List<int>();
For (int i =0;i < h1.keys.length; i++)
{
If h1.vals[i] > 1
Ret.add(keys[i]);
}
Return ret.sort();
}
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