Problem:
Score : 300 points

Problem Statement

Takahashi loves the number 7 and multiples of K.

Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)

If the sequence contains no multiples of K, print -1 instead.

Constraints

1 \leq K \leq 10^6

K is an integer.

Input

Input is given from Standard Input in the following format:

K

Output

Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print 4.)

Sample Input 1

101

Sample Output 1

4

None of 7, 77, and 777 is a multiple of 101, but 7777 is.

Sample Input 2

2

Sample Output 2

-1

All elements in the sequence are odd numbers; there are no multiples of 2.

Sample Input 3

999983

Sample Output 3

999982

Solution in C++ (Clang 10.0.0) (judge verdict: Wrong Answer)

/*
    Converted from Scratch by scratch2cpp (https://github.com/yos1up/scratch2cpp).
*/
#include <iostream>
#include <stdlib.h>
#include <string>
#include <vector>
#include <algorithm>
#include <math.h>
#define debug cerr << "--" << __LINE__ << "--" << "\n"
typedef long long ll;
using namespace std;

class Var{ // NOTE: immutable
public:
    mutable string sval;
    mutable long double dval;
    enum NumericState {UNKNOWN = -1, STRINGY = 0, NUMERIC = 1};
    mutable NumericState numericState;
    mutable bool svalValid, dvalValid; // TODO: initialize at here?

    Var(){
        *this = Var("");
    }
    Var(string s){
        sval = s;
        svalValid = true; dvalValid = false;
        numericState = UNKNOWN;
    }
    Var(long double d){
        dval = d;
        svalValid = false; dvalValid = true;
        numericState = NUMERIC;
    }
    Var(const Var &v){
        sval = string(v.sval); dval = v.dval;
        svalValid = v.svalValid; dvalValid = v.dvalValid;
        numericState = v.numericState;
    }
    void fillDval() const{
        if (dvalValid) return;
        long double d;
        bool numeric = isNumericString(sval, &d);
        if (numeric){
            numericState = NUMERIC;
            dval = d;
        }else{
            numericState = STRINGY;
            dval = 0.0;
        }        
        dvalValid = true;
    }
    static bool isNumericString(const string &s, long double *ptr) {
        char* ep;
        // cause side-effect: errno can be ERANGE after calling strtod
        *ptr = strtold(s.c_str(), &ep);
        // Scratch 3.0 recognize the string cause underflows or overflows as Numeric
        return NULL != ep && '\0' == ep[0] && s[0] != '\0';
    }
    bool isNumeric() const{
        fillDval();
        return numericState == NUMERIC;
    }    
    void fillSval() const{
        if (svalValid) return;
        sval = (floorl(dval) == dval) ? to_string((ll)dval) : to_string(dval);
        svalValid = true;
    }       
    long double asNumber() const{
        fillDval();
        return dval;
    } 
    string asString() const{
        fillSval();
        return sval;
    }
    Var operator+(const Var &y) const{
        return Var(this->asNumber() + y.asNumber());
    }
    Var operator+=(const Var &y){
        *this = *this + y;
        return *this;
    }
    Var operator-(const Var &y) const{
        return Var(this->asNumber() - y.asNumber());
    }
    Var operator*(const Var &y) const{
        return Var(this->asNumber() * y.asNumber());
    }
    Var operator/(const Var &y) const{
        return Var(this->asNumber() / y.asNumber());
    }
    Var operator%(const Var &y) const{
        return Var(fmodl(this->asNumber(), y.asNumber()));
    }
    bool operator<(const Var &y) const{
        if (this->isNumeric() && y.isNumeric()){
            return this->asNumber() < y.asNumber();
        } // compare as number if both can be interpreted as numeric
        return this->asString() < y.asString();
    }
    bool operator>(const Var &y) const{
        return y < *this;
    }
    bool operator==(const Var &y) const{
        if (this->isNumeric() && y.isNumeric()){
            return this->asNumber() == y.asNumber();
        } // compare as numeric if both are numeric
        return this->asString() == y.asString();
    }
    friend ostream& operator << (ostream& os, const Var& p);
    friend istream& operator >> (istream& is, const Var& p);
};
ostream& operator << (ostream& os, const Var& p){
    os << p.asString();
    return os;
}
istream& operator >> (istream& is, Var& p){
    string s; is >> s; p = Var(s);
    return is;
}


Var letterOf(Var index, Var sourceString){
    /* index: 1-origined */
    string str = sourceString.asString();
    int idx = (int)(index.asNumber() - 1);
    // seem to be dirty but Scratch seems to do like this.
    // ex. letterOf(0.01, "world") == "w", letterOf(1.99, "world") == "w", letterOf(5.99, "world") == "d"
    if (0 <= idx && idx < str.size()) return Var(str.substr(idx, 1));
    return Var();
}

class VarList{
public:
    vector<Var> data;
    VarList(const vector<Var> &x) { data = x; }
    void push_back(const Var &x){ data.push_back(x); }
    void pop_back(){ data.pop_back(); }
    void clear(){ data.clear(); }
    int size(){ return (int) data.size(); }
    Var getLineOfList(const Var &index) const{
        /* index: 1-origined */
        int idx = (int)index.asNumber() - 1;
        // (unlike 'letterOf', index==0.9 does not work.)
        if (0 <= idx && idx < data.size()) return data[idx];
        return Var();
    }
    void setLineOfListTo(const Var &index, const Var &v){
        /* index: 1-origined */
        int idx = (int)index.asNumber() - 1;
        if (0 <= idx && idx < data.size()) data[idx] = v;
    }
    void deleteLineOfList(const Var &index){
        /* index: 1-origined */
        string kwd = index.asString();
        if (kwd == "all"){
            data.clear();
        }else if (kwd == "last"){
            data.pop_back();
        }else{
            int idx = (int)index.asNumber() - 1;
            if (0 <= idx && idx < data.size()) data.erase(data.begin() + idx);
        }
    }
    void insertAtIndexOfList(const Var &item, const Var &index){
        /* index: 1-origined */
        int idx = (int)index.asNumber() - 1;
        if (0 <= idx && idx <= data.size()) data.insert(data.begin() + idx, item);   
    }
    void insertAtRandomOfList(const Var &item){
        int idx = rand() % (data.size() + 1);
        data.insert(data.begin() + idx, item);
    }
    string asString() const{
        /* concatenate elements of list with space */
        // TODO: concatenated without spaces only if all elements are single characters.
        // (Is it an official bug? (or feature?))
        string ret;
        for(int i=0;i<data.size();i++){
            if (i > 0) ret += ' ';
            ret += data[i].asString();
        }
        return ret;        
    }
    int itemNumOfList(const Var &item) const{
        auto itr = find(data.begin(), data.end(), item);
        if (itr == data.end()) return 0;
        return 1 + (int)(itr - data.begin());
        /* index: 1-origined */
    }
    friend ostream& operator << (ostream& os, const VarList& p);
};
ostream& operator << (ostream& os, const VarList& p){
    os << p.asString();
    return os;
}

long double randUniform(const long double x, const long double y){
    if (x > y) return randUniform(y, x);
    if (floor(x) == x && floor(y) == y){
        ll xi = (ll)round(x), yi = (ll)round(y);
        return xi + rand() % (yi - xi + 1);
    }else{
        return x + (y - x) * (0.0 + rand()) / RAND_MAX;
    }
}

Var buf_answer; // for "answer"

// ============================= Scripts =============================

// variable declaration
Var var__5909_6570(7);
Var var_K(3);

// list declaration

// prototype declaration of functions
int main();

// contents of functions
int main(){
    cin >> buf_answer;
    var_K = buf_answer;
    for (int cnt_0=0;cnt_0<Var(var_K.asString().size()).asNumber();cnt_0++){
        var__5909_6570 = Var(Var(0).asString() + Var(7).asString());
    }
    if ((((var_K % Var(2)) == Var(0)) || ((var_K % Var(5)) == Var(0)))){
        cout << Var(-1) << endl;
        return 0;
    }
    while (!((var__5909_6570 == var_K) || (var_K < var__5909_6570))){
        var__5909_6570 = Var(var__5909_6570.asString() + Var(7).asString());
        if (((var__5909_6570 % var_K) == Var(0))){
            cout << Var(var__5909_6570.asString().size()) << endl;
            return 0;
        }
    }
    cout << Var(-1) << endl;
    return 0;
}