This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/all/NTL_1_A"
#include "./../math/PrimeFactor.cpp"
#include <iostream>
using namespace std;
int main() {
int n;
cin >> n;
cout << n << ':';
for (auto [p, e] : PrimeFactor(n)) {
while (e--) {
cout << ' ' << p;
}
}
cout << '\n';
}
#line 1 "test/PrimeFactor.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/all/NTL_1_A"
#line 2 "math/PrimeFactor.cpp"
#include <map>
#include <vector>
#include <utility>
#include <cassert>
template <class T> std::vector<std::pair<T, int>> PrimeFactor(T n) {
assert(1 <= n);
if (n == 1) {
return {};
}
std::vector<std::pair<T, int>> result;
for (T i = 2; i * i <= n; ++i) {
if (n % i == 0) {
result.emplace_back(i, 0);
while (n % i == 0) {
result.back().second++;
n /= i;
}
}
}
if (n != 1) {
result.emplace_back(n, 1);
}
return result;
}
template <class T> std::map<T, int> PrimeFactor_map(T n) {
assert(1 <= n);
if (n == 1) {
return {};
}
std::map<T, int> result;
for (T i = 2; i * i <= n; ++i) {
while (n % i == 0) {
result[i]++;
n /= i;
}
}
if (n != 1) {
result[n] = 1;
}
return result;
}
template <class T> std::vector<T> PrimeFactor_vector(T n) {
assert(1 <= n);
if (n == 1) {
return {};
}
std::vector<T> result;
for (T i = 2; i * i <= n; ++i) {
while (n % i == 0) {
result.push_back(i);
n /= i;
}
}
if (n != 1) {
result.push_back(n);
}
return result;
}
#line 3 "test/PrimeFactor.test.cpp"
#include <iostream>
using namespace std;
int main() {
int n;
cin >> n;
cout << n << ':';
for (auto [p, e] : PrimeFactor(n)) {
while (e--) {
cout << ' ' << p;
}
}
cout << '\n';
}