# C++ solution beats 100% of the submissions with explanation (828 msec)

• Solving this problem is easy. When number is added, store the number in a vector and also increase its count in a map. When we have to find a value, traverse through the vector and see if the difference between the value and the current value is present in the map. If it is present, then the value is found. But sometimes we will unnecessarily traverse the entire vector when we right away know that the sum is not present. This can be avoided by storing the maximum and minimum possible values achievable from the numbers available with us. If the value to found is outside of the range, then return false straight away. This reduces lot of time.

``````class TwoSum {
public:
unordered_map<int,int> mp;
vector<int> v;
int size=0;
int max1 = 0;
int max2 = 0;
int small1 = 0;
int small2 = 0;
// Add the number to an internal data structure.
// Add the number to the vector
v.push_back(number);
size++;
// Increase the count of the number in the map.
mp[number]++;

// See if the number is greater than any of the two maximum values. If it is, change them accordingly.
if(number > max1)
{
max2 = max1;
max1 = number;
}
else if(number > max2)
{
max2 = number;
}

// See if the number is smaller than any of the two smallest values. If it is, change the small1 and small2 variables accordingly.
if(number < small1)
{
small2 = small1;
small1 = number;
}
else if(number < small2)
{
small2 = number;
}
}

// Find if there exists any pair of numbers which sum is equal to the value.
bool find(int value) {
// If the value is greater than the maximum value achievable, return false
if(value > (max1+max2))
{
return false;
}
// If the value is smaller than the minimum value achievable, return false
if(value < (small1+small2))
{
return false;
}
for(int i =0;i<size;i++)
{
if(value - v[i] == v[i])
{
if(mp[v[i]] >= 2)
{
return true;
}
}
else
{
if(mp.find(value-v[i]) != mp.end() && mp[value-v[i]] >= 1)
{
return true;
}
}
}
return false;
}
};
``````

• @chaitanya7 This is really the fastest solution that runs at 798 ms.

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