Cod sursa(job #2610623)

Utilizator MocalinnoMoca Andrei Catalin Mocalinno Data 5 mai 2020 11:20:01
Problema Numere 2 Scor 95
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 4 kb
#include <bits/stdc++.h>
using namespace std;
class Int {
public:
    Int(): Size(1), A{0} {}
    Int(const char *S): Size(0), A{0} {
        int N = strlen(S) - 2;
        for (int pow = 1; N >= 0; N--) {
            A[Size] += pow * (S[N] - '0');
            pow *= 10;
            if (pow == Base) {
                pow = 1;
                Size++;
            }
        }
        Size++;
    }
    Int(const int *S, const int N): Size(0), A{0} {
        for (; Size < N; ++Size)
            A[Size] = S[Size];
    }
    Int(int N): Size(0), A{0} {
        for (; N; N /= Base)
            A[Size++] = N % Base;
        if (!Size) ++Size;
    }
    int operator[](const int i) const {
        return A[i];
    }
    int size() const {
        return Size;
    }
    bool operator<(const Int &B) const {
        for (int i = max(Size, B.size()) - 1; i >= 0; i--)
        {
            if (A[i] < B[i])
                return 1;
            if (B[i] < A[i])
                return 0;
        }
        return 0;
    }
    bool operator<=(const Int &B) const {
        for (int i = max(Size, B.size()) - 1; i >= 0; i--)
        {
            if (A[i] < B[i])
                return 1;
            if (B[i] < A[i])
                return 0;
        }
        return 1;
    }
    bool operator==(const Int &B) const {
        for (int i = max(Size, B.size()) - 1; i >= 0; i--)
        {
            if (A[i] != B[i])
                return 0;
        }
        return 1;
    }
    Int operator+=(const Int &B)
    {
        const int SizeB = B.size();

        int i, t = 0;
        for (i=0; i< Size || i< SizeB || t; i++, t/=Base)
                A[i] = (t += A[i] + B[i]) % Base;
        Size = i;

        return *this;
    }
    Int operator+(const Int &B) const
    {
        const int SizeB = B.size();

        int C[MaxSize];
        memcpy(C, A, sizeof(C));

        int i, t = 0;
        for (i=0; i< Size || i< SizeB || t; i++, t/=Base)
                C[i] = (t += C[i] + B[i]) % Base;

        return Int(C, i);
    }
    Int operator*=(const Int &B)
    {
        const int SizeB = B.size();
        int i, j, t, C[MaxSize] = {0};
        int SizeC = 0;

        for (i = 0; i < Size; i++)
        {
            for (t=0, j=0; j < SizeB || t; j++, t/=Base)
                    C[i+j]=(t+=C[i+j]+A[i]*B[j])%Base;

            if (i + j > SizeC) SizeC = i + j;
        }
        memcpy(A, C, sizeof(A));
        Size = SizeC;

        return *this;
    }
    Int operator*=(const int B)
    {
        int i, t = 0;
        for (i = 0; i < Size || t; i++, t /= Base)
                A[i] = (t += A[i] * B) % Base;
        Size = i;

        return *this;
    }
    Int operator/=(const int B)
    {
        int i, t = 0;
        for (i = Size - 1; i >= 0; i--, t %= B)
              A[i] = (t = t * Base + A[i]) / B;
        for (; Size > 1 && !A[Size - 1]; Size--);

        return *this;
    }
    inline Int Pow(int y) {
        Int res(1), x(*this);
        while (y) {
            if (y & 1)
                res *= x;
            x *= x;
            y >>= 1;
        }
        return res;
    }
private:
    static const int MaxSize = 500, Base = 1000;
    int Size, A[MaxSize];
};
inline void Write(const Int &A) {
    for (int i = A.size() - 1; i >= 0; --i)
        cout << A[i];
}
char Number[111];
Int N, aux, step, res, unu(1);
int main() {
    ios::sync_with_stdio(false);
    freopen("numere2.in", "r", stdin);
    freopen("numere2.out", "w", stdout);
    fgets(Number, 111, stdin);
    N = Number;
    for (int pow = 335; pow; --pow) {
        step = 1;
        while (step.Pow(pow) < N)
            step *= 2;
        res = 0;
        while (unu <= step) {
            aux = res + step;
            if (aux.Pow(pow) <= N)
                res = aux;
            step /= 2;
        }
        if (res.Pow(pow) == N) {
            Write(res);
            cout << '\n' << pow;
            exit(0);
        }
    }
}