Sum of digits.cpp

///Status : AC
///Remark :
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#include<bits/stdc++.h>

//MACROS{
#define rep(x,a,b) for(x=a;x<b;x++)
#define reptill(x,a,b) for(x=a;x<=b;x++)

#define scani(x) scanf("%d",&x)
#define scan2i(x,y) scanf("%d %d",&x,&y)
#define scan3i(x,y,z) scanf("%d %d %d",&x,&y,&z)

#define scanfl(x) scanf("%f",&x)
#define scanc(x) scanf("%c",&x)
#define scand(x) scanf("%lf",&x)

#define scanll(x) scanf("%lli",&x)
#define scan2ll(x,y) scanf("%lli %lli",&x,&y)
#define scan3ll(x,y,z) scanf("%lli %lli %lli",&x,&y,&z);

#define scanl(x) scanf("%ld",&x)
#define scans(x) scanf("%s",x)
#define printi(x) printf("%d\n",x)
#define printl(x) printf("%ld\n",x)
#define printll(x) printf("%lli\n",x)
#define printd(x) printf("%lf\n",x)
#define printfl(x) printf("%f\n",x)
#define printc(x) printf("%c\n",x)
#define prints(x) printf("%s\n",x);
#define sloop(x) loop(i,0,strlen(x)-1)
#define nl ("\n")
#define newl cout<<nl
#define FILL(A,value) memset(A,value,sizeof(A))
#define FILL_MAT(x,rrrr,cccc,value) for(int iiii=0;iiii<rrrr;iiii++){for(int jjjj=0;jjjj<cccc;jjjj++) x[iiii][jjjj]=value;}


#define whole(x) x.begin(),x.end()
#define pb push_back
#define in insert
#define mp make_pair
#define get(tp_name,x) (get<x>(tp_name))   ///to access tuple(i)
#define umap unordered_map


#define F first
#define S second
//}END MACROS

using namespace std;


///comparator class for ordering on the basis of 'Second'
/*
class CompareDist
{
public:				///pairType doesn't name a type ,its just to show type of pair object passed in operatorfunction

bool operator()( pairType p1, pairType p2) {
return p1.S>p2.S;
}
};
*/

typedef pair<int,int> II;
typedef pair<ll,ll> LL;
typedef vector<II> VII;
typedef vector<LL> VLL;
typedef vector<int> VI;
typedef vector<bool> VB;
typedef vector<ll> VL;
typedef vector< VI > VVI;
typedef vector< VL > VVL;
typedef vector<string> VS;

//maths
#define PI acos(-1)

#define INTmax numeric_limits<int>::max()
#define INTmin numeric_limits<int>::min()

#define LLmax numeric_limits<ll>::max()
#define LLmin numeric_limits<ll>::min()

#define ULLmax numeric_limits<ull>::max()

typedef priority_queue<II,vector<II>, greater<II> > P_Queue;             ///priority queue contianing II (having vector<II> as underlying container) with greater as functor
															///		heapify on the basis of comparisons of  II.first  values

template<typename type>
void get_arr(type a[],type n)
{
for(type i=0;i<n;i++) cin>>a[i];
}

template<typename type>
void show_arr(type a[],type n=1) {for(type i=0;i<n;i++) cout<<a[i]<<" ";}

template<typename type>
inline type max3(type a,type b,type c){	 return max(max(a,b),c);}

template<typename type>
inline type min3(type a,type b,type c){	 return min(a,min(b,c));}

template<typename type>
inline type min4(type a,type b,type c,type d){	 return min(a,min3(b,c,d));}

template<typename type>
inline type max4(type a,type b,type c,type d){	 return max(a,max3(b,c,d));}


template<typename type>
type modpowIter(type a, type b, type c) { type ans=1;  while(b != 0){ if(b%2 == 1) ans=(ans*a)%c;  a=(a*a)%c; b /= 2; } return ans; }

template<typename type>
type phi(type n){ type result = n;  for (type p=2; p*p<=n; ++p) { if (n % p == 0){ while (n % p == 0)   n /= p; result -= result / p; } } if (n > 1) result -= result / n; return result; }

template<typename type> type gcd(type A,type B){	if(B==0)	return A;	else return gcd(B, A % B);	}

template<class type>
type ncr(type n,type r){  	assert(n>=r); type ans=1,i; 	if(n==r) return 1; if(r==1) return n; if(r>(n-r)) r=n-r; reptill(i,0,r-1) ans=ans*(n-i)/(i+1);	return ans; }

template<typename type>  unsigned long long fact(type x){ ull ans=1; for(type i=1;i<=x;i++){ ans*=i;        /*ans%=MOD;   /Optional*/ } return ans; }

template<typename type>
int Digs(type n){ return (n >= 10) ? 1 + Digs(n/10): 1; }

template<typename type>
type tonum(string s){	type ans=0,i;	rep(i,0,s.size())	ans=ans*10+(s[i]-'0'); return ans; }

template<typename T_> inline bool is_perfsq(T_ n){T_ a=(T_)sqrt((double) n); return (a*a==n || (a+1)*(a+1)==n);/* in case of an off-by-one float error*/}

inline void FAST_IO(){ios_base::sync_with_stdio(false);}


#define printMat(x,r,c) for(int i=0;i<r;i++){ for(int j=0;j<c;j++) cout<<x[i][j]<<" "; newl; }

#define SIZE (int(2e3)+1)
#define MOD
#define debug
#define MAX1
#define MAX2

///frequently useable
class comp
{
	public :
		bool operator()(pair< II,int > A, pair< II,int > B)		///for sorting through comparator ,can be modified
		{
			return (A.F.F < B.F.F);
		}

		bool operator()(pair<II,int> A, int val)
		{
			return A.F.F< val;
		}

		bool operator()(pair<int,int> A,int val)
		{
			return A.F<val;
		}
};


ll sum ( ll n)
{

	ll ans =0;

	while(n)
	{
		ans = ans + n %10;

		n/=10;
	}
	return ans;

}

ll apsum(ll xi,ll yi)
{

	ll first= 10*(xi +1) + 35;
	ll second = 10*(yi +1) +35;

	if(xi==yi) return first;


	ll sum =( (yi-xi+1)*(2* first  + (yi-xi) * 10)) /2;

	return sum;
}

int main()
{

	FAST_IO();

	#ifndef ONLINE_JUDGE
		ifstream cin("/home/aditya/Documents/ip");
	#endif

	//ofstream cout("/home/aditya/Documents/op");

	//int t;	cin>>t;while(t--){}


//	2 3 4 5 6 7 8 9 2 3 4


#ifdef debug1
	ll ans =0;
	for(ll i=100;i<=109;i++)
	{
		ans += sum(i);

	}
	cout<<ans<<nl;
#endif // debug1


while(1)
{




	ll l,r;

	cin>>l>>r;

	if(l==-1 or r==-1) break;

	ll ans =0;

	ll xi= l/10 ,yi= r/10;

	cout<<xi<<" "<<yi<<nl;

	if(l%10==0 and (r+1)%10==0 )
	{
		cout<<"obtaining ap sum\n";
		ans = apsum(xi,yi);

	}
	else
	{


		if(yi-xi -1 <1)
		{



			for(ll i=l;i<=r;i++)	///as at max there would be 10 digits in any number between l and r	and at most 20 additions so 20*10 = O(100)
			{
				ans += sum(i);
			}
		}
		else
		{


			cout<<"epic case\n";
			xi++;yi--;


			ans = apsum(xi,yi);

			for(ll i= l;  ;i++)
			{
				ans = ans+ sum(i);
				if((i+1)%10==0) break;
			}

			for(ll i=r;  ;i--)
			{
				ans = ans + sum(i);
				if(i%10==0) break;
			}
		}

	}

	cout<<ans<<nl;
}

}