1418A - Buying Torches - CodeForces Solution


math *1000

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Python Code:

l=[]
for pratyush in range(int(input())):
    x,y,k=map(int,input().split())
    s=y*k+k-x
    n=(s)//(x-1)
    if s%(x-1)==0:l.append(1+k+(s)//(x-1))
    else:l.append(2+k+n)
for i in l:print(i)

C++ Code:

#include <bits/stdc++.h>
    #include <math.h>
 
    using namespace std;
    typedef long long ll;
    typedef unsigned long long ull;
    # define M_PI  3.14159265358979323846
 
 
    const int M=1e9+7;
    long long mod(long long x){
        return ((x%M + M)%M);
    }
    long long add(long long a, long long b){
        return mod(mod(a)+mod(b));
    }
    long long mul(long long a, long long b){
        return mod(mod(a)*mod(b));
    }
 
    ll modPow(ll a, ll b){
        if(b==0)
            return 1LL;
        if(b==1)
            return a%M;
        ll res=1;
        while(b){
            if(b%2==1)
                res=mul(res,a);
            a=mul(a,a);
            b=b/2;
        }
        return res;
    }
 
    void solve (){
        ll x,y,k;
        cin>>x>>y>>k;
        ll coal=k;
        ll sticks=(coal)*y;
        sticks+=k;
        sticks--;
        ll total=sticks/(x-1);
        ll other=sticks%(x-1);
        if(other)
            total++;
        cout<<total+k<<"\n";
 
    }
    int main(){
        ios::sync_with_stdio(0);
        cin.tie(0);
        cout.tie(0);
        cout<<fixed;
        cout<<setprecision(10);
//        freopen("timber_input.txt", "r", stdin);
//        freopen("timber_output.txt", "w", stdout);
        int t=1;
        cin>>t;
        for(int i=1;i<=t;i++){
//            cout<<"Case #"<<i<<": ";
            solve();
        }
        return 0;
    }


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