I have written a code for this problem:

Given a list of non negative integers, arrange them such that they form the largest number.

For example, given [3, 30, 34, 5, 9], the largest formed number is 9534330.

Note: The result may be very large, so you need to return a string instead of an integer.

What basically I am trying to achieve in this code is to use radix sort logic on most significant digit first and arranging it as per decreasing order. Later I am doing for second most significant digit and so on. I have used `std::sort()`

function by passing a vector of pairs, where first of the pair is the value and second of the pair is the index. The following is my code:

```
bool radixOrder(pair<int,int> p1, pair<int,int> p2)
{
int val1=p1.first;
int e1=p1.second;
int val2=p2.first;
int e2=p2.second;
if(val1==val2 && e1==e2)
{
return val1==val2;
}
else if(((val1/e1)%10) == ((val2/e2)%10))
{
while(val1/e1 == val2/e2)
{
if(e1/10!=0)
e1=e1/10;
if(e2/10!=0)
e2=e2/10;
}
return (val1/e1)%10 > (val2/e2)%10;
}
else
{
return (val1/e1)%10 > (val2/e2)%10;
}
}
vector<pair<int,int> > createVNew(vector<int>& v)
{
vector<pair<int,int> > temp;
for(int i=0; i<v.size(); i++)
{
cout << i << endl;
int val=v[i], e=1;
if(v[i]==0)
{
temp.push_back(make_pair(val, 1));
}
else
{
while((e/v[i])==0)
e*=10;
if(e!=v[i])
{
temp.push_back(make_pair(val,e/10));
}
else if(e==v[i])
{
temp.push_back(make_pair(val,e));
}
}
}
return temp;
}
string largestNumber(vector<int>& v)
{
int e=1;
vector< pair<int,int> > vnew=createVNew(v);
sort(vnew.begin(), vnew.end(), radixOrder);
stringstream s;
for(int i=0; i<vnew.size(); i++)
{
s<<vnew[i].first;
}
return s.str();
}
```

`largestNumber(..)`

is my function which is returning the desired string. Now This code works fine for most non zero inputs that I could try. But when input is a long vector of 0's, something like:

[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]

it is giving floating point exception.

I have tried finding the solution, but havent been able to. I am a beginner in cpp, and any help would be great.