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- #include <iostream>
- #include <iomanip>
- #include <cmath>
- #include <string>
- #include <vector>
- #include <algorithm>
- #include <utility>
- using ::std::cout;
- using ::std::cin;
- using ::std::string;
- double CoutValueOfPolynomial(int n , int* arr, double val);
- std::vector<int> FindDividers(int a);
- int main() {
- int n;
- cin >> n;
- int* arr = new int[n + 1];
- std::vector<std::pair<int,int>> roots;
- int temp;
- for(int i = 0 ; i < n + 1 ; i++){
- cin >> temp;
- arr[i] = temp;
- }
- int a0 = arr[n]; // wspolczynnik a_0
- int an = arr[0]; // wspolczynik a_n
- // dzielniki a0
- auto a0_dividers = FindDividers(a0);
- // znajduje dzielniki calkowite a0 , ktore sa pierwiastkami
- for(auto divider: a0_dividers){
- if(CoutValueOfPolynomial(n,arr,divider)==0){
- auto p = std::make_pair(divider,1);
- roots.push_back(p);
- }
- }
- auto an_dividers = FindDividers(an);
- double dtemp;
- for(auto an_divider: an_dividers){
- for(auto a0_divider: a0_dividers){
- dtemp = (double)a0_divider / an_divider;
- if(CoutValueOfPolynomial(n,arr,dtemp) == 0){
- auto p = std::make_pair(a0_divider, an_divider);
- roots.push_back(p);
- }
- }
- }
- cout << roots.size() << "\n";
- for(auto val: roots){
- cout << val.first << " " << val.second << "\n";
- }
- delete arr;
- return 0;
- }
- double CoutValueOfPolynomial(int n , int* arr, double val){
- double result = 0;
- for (int i = 0 ; i < n + 1; i++){
- result += (pow(val, n- i ) * arr[i]);
- }
- return result;
- }
- std::vector<int> FindDividers(int a){
- std::vector<int> dividers;
- if (a > 0){
- for(int i = 1 ; i <= a ; i++){
- if(a % i == 0){
- dividers.push_back(i);
- }
- }
- for(int i = -1 ; i >= -a ; i--){
- if(a % i == 0){
- dividers.push_back(i);
- }
- }
- } else if (a < 0){
- for(int i = -1 ; i >= a ; i--){
- if(a % i == 0){
- dividers.push_back(i);
- }
- }
- for(int i = 1 ; i <= -a ; i++){
- if(a % i == 0){
- dividers.push_back(i);
- }
- }
- }
- return dividers;
- }
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