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## Adding Fractions CodeChef Solution in C++17

``````#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;
using ull = unsigned long long;

// constants
const ld PI = 3.14159265358979323846;  /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 1010101;
const ll mod = 998244353;

// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef deque<ll> dqll;
typedef deque<pll> dqpll;
typedef pair<string, string> pss;
typedef vector<pss> vpss;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;

// macros
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define INF(a) memset(a,0x3f3f3f3f3f3f3f3fLL,sizeof(a))
#define ASCEND(a) iota(all(a),0)
#define sz(x) ll((x).size())
#define BIT(a,i) (a & (1ll<<i))
#define BITSHIFT(a,i,n) (((a<<i) & ((1ll<<n) - 1)) | (a>>(n-i)))
#define pyes cout<<"YES\n";
#define pno cout<<"NO\n";
#define endl "\n"
#define pneg1 cout<<"-1\n";
#define ppossible cout<<"Possible\n";
#define pimpossible cout<<"Impossible\n";
#define TC(x) cout<<"Case #"<<x<<": ";
#define X first
#define Y second

// utility functions
template <typename T>
void print(T &&t)  { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n){cout<<v[i];if(i+1!=n)cout<<' ';}cout<<endl;}
template<typename T>
void printvln(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<endl;}
void fileIO(string in = "input.txt", string out = "output.txt") {freopen(in.c_str(),"r",stdin); freopen(out.c_str(),"w",stdout);}
template<typename T>
template<typename T, typename U>
template<typename T, typename U>

struct Combination {
vll fac, inv;
ll n, MOD;

ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

Combination(ll _n, ll MOD = mod): n(_n + 1), MOD(MOD) {
inv = fac = vll(n,1);
rep(i,1,n) fac[i] = fac[i-1] * i % MOD;
inv[n - 1] = modpow(fac[n - 1], MOD - 2, MOD);
rrep(i,1,n - 2) inv[i] = inv[i + 1] * (i + 1) % MOD;
}

ll fact(ll n) {return fac[n];}
ll nCr(ll n, ll r) {
if(n < r or n < 0 or r < 0) return 0;
return fac[n] * inv[r] % MOD * inv[n-r] % MOD;
}
};

struct Matrix {
ll r,c;
vvll matrix;
Matrix(ll r, ll c, ll v = 0): r(r), c(c), matrix(vvll(r,vll(c,v))) {}

Matrix operator*(const Matrix& B) const {
Matrix res(r, B.c);
rep(i,0,r) rep(j,0,B.c) rep(k,0,B.r) {
res.matrix[i][j] = (res.matrix[i][j] + matrix[i][k] * B.matrix[k][j] % mod) % mod;
}
return res;
}

Matrix copy() {
Matrix copy(r,c);
copy.matrix = matrix;
return copy;
}

Matrix pow(ll n) {
assert(r == c);
Matrix res(r,r);
Matrix now = copy();
rep(i,0,r) res.matrix[i][i] = 1;
while(n) {
if(n & 1) res = res * now;
now = now * now;
n /= 2;
}
return res;
}
};

// geometry data structures
template <typename T>
struct Point {
T y,x;
Point(T y, T x) : y(y), x(x) {}
Point(pair<T,T> p) : y(p.first), x(p.second) {}
Point() {}
void input() {cin>>y>>x;}
friend ostream& operator<<(ostream& os, const Point<T>& p) { os<<p.y<<' '<<p.x<<'\n'; return os;}
Point<T> operator+(Point<T>& p) {return Point<T>(y + p.y, x + p.x);}
Point<T> operator-(Point<T>& p) {return Point<T>(y - p.y, x - p.x);}
Point<T> operator*(ll n) {return Point<T>(y*n,x*n); }
Point<T> operator/(ll n) {return Point<T>(y/n,x/n); }
bool operator<(const Point &other) const {if (x == other.x) return y < other.y;return x < other.x;}
Point<T> rotate(Point<T> center, ld angle) {
ld si = sin(angle * PI / 180.), co = cos(angle * PI / 180.);
ld y = this->y - center.y;
ld x = this->x - center.x;

return Point<T>(y * co - x * si + center.y, y * si + x * co + center.x);
}
ld distance(Point<T> other) {
T dy = abs(this->y - other.y);
T dx = abs(this->x - other.x);
return sqrt(dy * dy + dx * dx);
}

T norm() { return x * x + y * y; }
};

template<typename T>
struct Line {
Point<T> A, B;
Line(Point<T> A, Point<T> B) : A(A), B(B) {}
Line() {}

void input() {
A = Point<T>();
B = Point<T>();
A.input();
B.input();
}

T ccw(Point<T> &a, Point<T> &b, Point<T> &c) {
T res = a.x * b.y + b.x * c.y + c.x * a.y;
res -= (a.x * c.y + b.x * a.y + c.x * b.y);
return res;
}

bool isIntersect(Line<T> o) {
T p1p2 = ccw(A,B,o.A) * ccw(A,B,o.B);
T p3p4 = ccw(o.A,o.B,A) * ccw(o.A,o.B,B);
if (p1p2 == 0 && p3p4 == 0) {
pair<T,T> p1(A.y, A.x), p2(B.y,B.x), p3(o.A.y, o.A.x), p4(o.B.y, o.B.x);
if (p1 > p2) swap(p2, p1);
if (p3 > p4) swap(p3, p4);
return p3 <= p2 && p1 <= p4;
}
return p1p2 <= 0 && p3p4 <= 0;
}

pair<bool,Point<ld>> intersection(Line<T> o) {
if(!this->intersection(o)) return {false, {}};
ld det = 1. * (o.B.y-o.A.y)*(B.x-A.x) - 1.*(o.B.x-o.A.x)*(B.y-A.y);
ld t = ((o.B.x-o.A.x)*(A.y-o.A.y) - (o.B.y-o.A.y)*(A.x-o.A.x)) / det;
return {true, {A.y + 1. * t * (B.y - A.y), B.x + 1. * t * (B.x - A.x)}};
}

//@formula for : y = ax + b
//@return {a,b};
pair<ld, ld> formula() {
T y1 = A.y, y2 = B.y;
T x1 = A.x, x2 = B.x;
if(y1 == y2) return {1e9, 0};
if(x1 == x2) return {0, 1e9};
ld a = 1. * (y2 - y1) / (x2 - x1);
ld b = -x1 * a + y1;
return {a, b};
}
};

template<typename T>
struct Circle {
Point<T> center;
Circle() {}

void input() {
center = Point<T>();
center.input();
}

bool circumference(Point<T> p) {
return (center.x - p.x) * (center.x - p.x) + (center.y - p.y) * (center.y - p.y) == radius * radius;
}

bool intersect(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
}

bool include(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
}
};

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
all3 __exgcd(ll x, ll y) { if(!y) return {x,1,0}; auto [g,x1,y1] = __exgcd(y, x % y); return {g, y1, x1 - (x/y) * y1}; }
ll __lcm(ll x, ll y) { return x / __gcd(x,y) * y; }
ll modpow(ll n, ll x, ll MOD = mod) { n%=MOD; if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

pll parse(string s) {
auto p = s.find('/');
ll l = stoll(s.substr(0,p)), r = stoll(s.substr(p + 1));
return {l,r};
}

bool check(pll A, pll B) {
pll C = {A.first + B.first, A.second + B.second};
return 1. * A.first / A.second < 1. * C.first / C.second;
}

vs solve(vs A) {
ll n = sz(A);
vpll B;
vll jump(n);
vs res(n);
rep(i,0,n) B.push_back(parse(A[i]));
rrep(i,0,n - 1) {
ll j = i + 1;
while(j < n and check(B[i], B[j])) {
B[i].first += B[j].first;
B[i].second += B[j].second;
j = jump[j];
}
jump[i] = j;
ll g = __gcd(B[i].first, B[i].second);
res[i] = (to_string(B[i].first/g) + "/" + to_string(B[i].second/g));
}
return res;
}
int main() {
Code By Sumfi
cout.precision(12);
ll tc = 1;
cin>>tc;
rep(i,1,tc+1) {
ll n;
cin>>n;
vs A(n);
printvln(solve(A));
if(i != tc) print("");
}
return 0;
}``````

## Adding Fractions CodeChef Solution in C++14

``````#include <bits/stdc++.h>
using namespace std;
#define int long long
const int nax=1e5+10;
struct node{
int x,y;
double s;
void init(){
s=1.0*x/y;
}
bool operator<(const node& e)const{
return s<e.s;
}
bool operator>(const node& e)const{
return s>e.s;
}
node operator+(const node& e)const{
node res;
res.x=x+e.x;
res.y=y+e.y;
res.init();
return res;
}
node operator-(const node& e)const{
node res;
res.x=x-e.x;
res.y=y-e.y;
res.init();
return res;
}
}a[nax];
int32_t main(){
int t;
cin>>t;
while(t--){
int n;
cin>>n;
char c;
int nxt[n+2]={0};
for(int i=1;i<=n;i++)
cin>>a[i].x>>c>>a[i].y,a[i].init();
nxt[n+1]=n+1;
for(int i=n;i>=1;i--){
int j=i+1;
while(j<=n and a[i]+a[j]>a[i]){
a[i]=a[i]+a[j];
j=nxt[j];
}
nxt[i]=j;
}
for(int i=1;i<=n;i++){
int g=__gcd(a[i].x,a[i].y);
a[i].x/=g;
a[i].y/=g;
cout<<a[i].x<<'/'<<a[i].y<<'\n';
}
}
return 0;
}``````

## Adding Fractions CodeChef Solution in C

``````#include<stdio.h>

int gcd(int a, int b) {
if (b == 0)
return a;
return gcd(b, a%b);
}

int main(int argc, char ** argv) {
int t;
scanf("%d", &t);
while(t--) {
int n;
float max1,max2;
int i,j,temp;
scanf("%d", &n);
int num[n], den[n];
int rnum[n], rden[n], count[n];
for(int i = 0; i < n; i++) {
scanf("%d/%d", &num[i], &den[i]);
}
n=n-1;
rnum[n]=num[n];
rden[n]=den[n];count[n]=n;
for(i=n-1;i>=0;i--)
{
rnum[i]=num[i];rden[i]=den[i];
for(j=i;j<=n-1;j++,j=count[j])
{
max1=((float)rnum[i]/(float)rden[i]);
max2=((float)(rnum[j+1])/(float)(rden[j+1]));
if(max2<max1)
{
count[i]=j;
break;
}

else
{
rnum[i]+=rnum[j+1];
rden[i]+=rden[j+1];
}
}if(j==n)count[i]=n;
}
for(i=0;i<=n;i++){
temp=gcd(rnum[i],rden[i]);
rnum[i]=rnum[i]/temp;
rden[i]=rden[i]/temp;
printf("%d/%d\n",rnum[i],rden[i]);
}
printf("\n");
}
return 0;
}``````

## Adding Fractions CodeChef Solution in JAVA

``````import java.io.*;
import java.util.*;

/*
This Library is usefull when from Input File we have to extract only numbers.
It's 2 times faster then BasicInputOutput Library made earlier
*/
import java.io.*;
class FastInputOutput
{
private byte[] inputBuffer;
private final static int INPUTBUFFERSIZE = 8192;
private BufferedWriter writer;
private String delim = " \t\n\r\f";
FastInputOutput()
{
initialize();
}
FastInputOutput( String s )
{
delim = s;
initialize();
}
private void initialize()
{
inputBuffer = new byte[INPUTBUFFERSIZE + 1];
inputIndex = 0;
writer = new BufferedWriter( new PrintWriter( System.out ));
}
private void updateInputBuffer()throws IOException
{
if ( inputIndex >= charRead )
{
inputIndex = 0;
}
}
private void skipUntilNotDigit()throws IOException
{
updateInputBuffer();
while ( !isDigit( inputBuffer[inputIndex] ) && !isSign( inputBuffer[inputIndex] ))
{
inputIndex++;
updateInputBuffer();
}
}
private void skipUntilDilim()throws IOException
{
updateInputBuffer();
while ( isDelimiter( inputBuffer[inputIndex] ) )
{
inputIndex++;
updateInputBuffer();
}
}
private boolean isDelimiter( byte c )
{
for ( int i = 0; i < delim.length(); i++ )
{
if ( c == ( byte )delim.charAt( i ))
return true;
}
return false;
}
private boolean isDigit( byte c )
{
return ( c >= '0' && c <= '9' );
}
private boolean isSign( byte s )
{
return ( s == '+' || s == '-' );
}
public int getNextInt()throws IOException
{
skipUntilNotDigit();
int ret = 0;
int sgn = 1;
while ( isSign( inputBuffer[inputIndex] ))
{
if ( inputBuffer[inputIndex] == '-' )
sgn =  - 1;
inputIndex++;
updateInputBuffer();
if ( !isDigit( inputBuffer[inputIndex] ))
{
sgn = 1;
skipUntilNotDigit();
}
}
while ( isDigit( inputBuffer[inputIndex] ))
{
ret = ( ret * 10 ) + inputBuffer[inputIndex++] - '0';
updateInputBuffer();
}
return ret * sgn;
}
public long getNextLong()throws IOException
{
skipUntilNotDigit();
long ret = 0;
long sgn = 1;
while ( isSign( inputBuffer[inputIndex] ))
{
if ( inputBuffer[inputIndex] == '-' )
sgn =  - 1L;
inputIndex++;
updateInputBuffer();
if ( !isDigit( inputBuffer[inputIndex] ))
{
sgn = 1L;
skipUntilNotDigit();
}
}
while ( isDigit( inputBuffer[inputIndex] ))
{
ret = ( ret * 10L ) + inputBuffer[inputIndex++] - '0';
updateInputBuffer();
}
return ret;
}
public String getNextString()throws IOException
{
String ret = "";
skipUntilDilim();
while ( !isDelimiter( inputBuffer[inputIndex] ))
{
ret = ret + ( char )inputBuffer[inputIndex++];
updateInputBuffer();
}
return ret;
}
public String getNextLine()throws IOException
{
String ret = "";
skipUntilDilim();
while ( inputBuffer[inputIndex] != ( byte )'\n' && inputBuffer[inputIndex] != ( byte )'\r' && inputBuffer[inputIndex] != ( byte )'\f' )
{
ret = ret + ( char )inputBuffer[inputIndex++];
updateInputBuffer();
}
return ret;
}
public void skipCurrentLine()throws IOException
{
updateInputBuffer();
while ( inputBuffer[inputIndex] != ( byte )'\n' && inputBuffer[inputIndex] != ( byte )'\r' && inputBuffer[inputIndex] != ( byte )'\f' )
{
inputIndex++;
updateInputBuffer();
}
}
public void skip(int n) throws IOException {
updateInputBuffer();
while(n-->0) {
inputIndex++;
updateInputBuffer();
}
}
public void write( String s )throws IOException
{
writer.write( s );
}
public < T > void write( char sep, T... var )throws IOException
{
if ( var.length == 0 )
return ;
writer.write( var[0].toString());
for ( int i = 1; i < var.length; i++ )
{
writer.write( sep + var[i].toString());
}
}
public void flush()throws IOException
{
writer.flush();
}
}

public class Main
{
public static void main(String[] args)
{
try
{
new Main().run();
}
catch (Exception ex)
{
ex.printStackTrace();
}
}
private int[][] num;
private long[][] ans;
private int[] next;
private FastInputOutput iohandler;
int n;
private void run()throws Exception
{
iohandler = null;
initializeProcess();
getInput();
}
private void getInput()throws Exception
{
int tc = iohandler.getNextInt();
while (--tc >= 0)
{
n = iohandler.getNextInt();
for (int i = 0; i < n; i++)
{
num[i][0] = iohandler.getNextInt();
num[i][1] = iohandler.getNextInt();
}
solve();
output();
if (tc > 0)
{
iohandler.write("\n");
}
}
iohandler.flush();
}
private boolean check(long a, long b, long c, long d)
{
return (a * d < b * c);
}
private void solve()throws Exception
{
ans[n - 1][0] = num[n - 1][0];
ans[n - 1][1] = num[n - 1][1];
next[n - 1] = n - 1;
for (int i = n - 2; i >= 0; i--)
{
ans[i][0] = num[i][0];
ans[i][1] = num[i][1];
next[i] = i;
while (next[i] + 1 < n && check(ans[i][0], ans[i][1], ans[next[i] + 1][0], ans[next[i] + 1][1]))
{
ans[i][0] += ans[next[i] + 1][0];
ans[i][1] += ans[next[i] + 1][1];
next[i] = next[next[i] + 1];
}
}
}
private void output()throws Exception
{
for (int i = 0; i < n; i++)
{
long g = gcd(ans[i][0], ans[i][1]);
ans[i][0] /= g;
ans[i][1] /= g;
iohandler.write(ans[i][0] + "/" + ans[i][1] + "\n");
}
}
private void initializeProcess()throws Exception
{
iohandler = new FastInputOutput();
num = new int[100001][2];
ans = new long[100001][2];
next = new int[100001];
}
private long gcd(long a, long b)
{
if (b == 0)
return a;
return gcd(b, a % b);
}
}``````
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