Problem:
Score: 200 points

Problem Statement

Takahashi bought a piece of apple pie at ABC Confiserie. According to his memory, he paid N yen (the currency of Japan) for it.

The consumption tax rate for foods in this shop is 8 percent. That is, to buy an apple pie priced at X yen before tax, you have to pay X \times 1.08 yen (rounded down to the nearest integer).

Takahashi forgot the price of his apple pie before tax, X, and wants to know it again. Write a program that takes N as input and finds X. We assume X is an integer.

If there are multiple possible values for X, find any one of them. Also, Takahashi's memory of N, the amount he paid, may be incorrect. If no value could be X, report that fact.

Constraints

1 \leq N \leq 50000

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If there are values that could be X, the price of the apple pie before tax, print any one of them.

If there are multiple such values, printing any one of them will be accepted.

If no value could be X, print :(.

Sample Input 1

432

Sample Output 1

400

If the apple pie is priced at 400 yen before tax, you have to pay 400 \times 1.08 = 432 yen to buy one.

Otherwise, the amount you have to pay will not be 432 yen.

Sample Input 2

1079

Sample Output 2

:(

There is no possible price before tax for which you have to pay 1079 yen with tax.

Sample Input 3

1001

Sample Output 3

927

If the apple pie is priced 927 yen before tax, by rounding down 927 \times 1.08 = 1001.16, you have to pay 1001 yen.

Solution in C++ (GCC 9.2.1) (judge verdict: Accepted)

// #pragma GCC optimize("Ofast")
// #pragma GCC optimize ("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
using namespace std;
 
using ull = unsigned long long int;
using ll = long long int;
using du = double;
using ld = long du;
using vi = vector<int>;
using vll = vector<ll>;
using vld = vector<ld>;
using vdu = vector<du>;
using vs = vector<string>;
using vc = vector<char>;
using si = set<int>;
using sll = set<ll>;
using sdu = set<du>;
using sld = set<ld>;
using pii = pair<int, int>;
using pll = pair<ll,ll>;
using pdu = pair<du,du>;
using pld = pair<ld,ld>;
using pis = pair<int,string>;
 
#define FASTIO ios_base::sync_with_stdio(false); cin.tie(nullptr)
#define sp(x) setprecision(x)<<fixed
#define loop(i,n) for(int i=0;i<n;i++)
#define ff first
#define ss second
#define pi acos(-1)
#define meme(a,x) memset(a,x,sizeof(a))
#define all(a) a.begin(),a.end()
 
//debugger
 
#ifdef KAIZER
#include "debug.h"
#else
#define debug(x...)
#endif
//debugger
 
//functions
bool check_pow(ll a)
{
    if((a&(a-1))==0) return true;
    else return false;
}
ld my_pow(ld a,int b)
{
    ld ans=1;
    for(int i=0;i<b;i++) ans*=a;
    return ans;
}
ll digits(ll a)
{
    string line=to_string(a);
    return line.size();
}
bool prime_check(ll a)
{
    bool flag=true;
    for(ll i=2;i<=sqrt(a);i++)
    {
        if(a%i==0) {flag=false; break;}
    }
    return flag;
}
bool comp(const pair<int,int> &a , const pair<int,int> &b)
{
    if(a.ff!=b.ff) return a.ff>b.ff;
    else return a.ss<b.ss;
}
bool comp2(const ll &a, const ll &b)
{
     return a>b;
}
 
//functions
bool rc(int x, int y)
{
    int z = double(x)*1.08;
    if (z==y) return true;
    else return false; 
}
 
int main() {
    //freopen("input.txt","r",stdin);
    //freopen("output.txt","w",stdout);
    FASTIO;
    ll t;
    cin>>t;
    int x= (t)/1.08;
    if(rc(x,t)) cout<<x<<endl;
    else if(rc(x+1,t)) cout<<x+1<<endl;
    else if(rc(x-1,t)) cout<<x-1<<endl;
    else cout<<":(\n";
 }