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divide.cpp
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divide.cpp
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#include<bits/stdc++.h>
using namespace std;
string subract(string a ,string b){
string ans;
bool neg=0;
//if b is greater than a, swap them
if(a.length()<b.length()){
swap(a,b);
neg=1;
}
if(a.length()==b.length()){
for(int i=0;i<a.length();i++){
if(a[i]!=b[i]){
if(a[i]<b[i]){
swap(a,b);
}
break;
}
}
neg=1;
}
//subract individual digits of a &b
int carry=0;
int nb= b.length(),na=a.length();
int j=nb-1,i=na-1;
while(j>=0){
int s= a[i]-b[j]-carry;
if(s<0){
ans+=a[i]-b[j]+'0'+10-carry;
carry=1;
}
else{
ans+=a[i]-b[j]+'0'-carry;
carry=0;
}
i--;j--;
}
//now push remaining integers of string a into the ans string
while(i>=0){
int s=a[i]-carry;
if(s<0){
ans+=(a[i]+10-carry);
carry=1;
}
else{
ans+=(a[i]-carry);
carry=0;
}
i--;
}
int start=ans.size()-1;
while(start>=0&&ans[start]=='0'){
start--;
}
//now reverse them
string res;
for(int i=start;i>=0;i--)res+=ans[i];
return res;
}
int Comparing2strings(string a,string b){
int na=a.length(),nb=b.length();
//cout<<a<<' '<<b<<endl;
if(na<nb) return 1;
if(na>nb) return -1;
for(int i=0;i<na;i++){
if(a[i]<b[i]) {
return 1;}
else if(a[i]>b[i]) { return -1;}
}
return 0;
}
void divide(string a ,string b){
int nb= b.length(),na=a.length();
if(Comparing2strings(a,b)==1){
//cout<<"a";
cout<<0<<endl<<a<<endl;
return;
}
else if(Comparing2strings(a,b)==0){
//cout<<"b";
cout<<1<<endl<<0<<endl;
return;
}
else{
//cout<<"c";
int k=b.size();
vector<int> quotient;
string remainder=a.substr(0,nb);
int i=0;
k--;
while(k<a.size()){
int count=0;
while(Comparing2strings(b,remainder)==0||Comparing2strings(b,remainder)==1){
remainder=subract(remainder,b);
count++;
}
quotient.push_back(count);
if(k==a.size()-1)
break;
remainder+=a[++k];
i++;
}
int s=0;
while(quotient[s]==0&&s<quotient.size())s++;
for(int i=s;i<quotient.size();i++){
cout<<quotient[i];
}
if(remainder.length()==0){
remainder+="0";
}
cout<<endl<<remainder<<endl;
}
}
int main(){
int t;cin>>t;
while(t--){
string a,b;
cin>>a>>b;
divide(a,b);
cout<<endl;
}
}