This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/1/NTL_1_A"
#include "../math/factorize.cpp"
#include "../utility/int_alias.cpp"
#include <iostream>
int main() {
u32 n;
std::cin >> n;
std::cout << n << ':';
for (auto [p, e]: factorize(n)) {
while (e--) {
std::cout << ' ' << p;
}
}
std::cout << '\n';
return 0;
}
#line 1 "test/factorize.test.cpp"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/library/6/NTL/1/NTL_1_A"
#line 2 "math/factorize.cpp"
#include <cassert>
#include <utility>
#include <vector>
template <class T> std::vector<std::pair<T, int>> factorize(T x) {
assert(x > 0);
std::vector<std::pair<T, int>> ret;
for (T p = 2; p * p <= x; ++p) {
if (x % p == 0) {
int e = 0;
while (x % p == 0) {
x /= p;
e += 1;
}
ret.emplace_back(p, e);
}
}
if (x > 1) ret.emplace_back(x, 1);
return ret;
}
#line 2 "utility/int_alias.cpp"
#include <cstdint>
using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;
#line 4 "test/factorize.test.cpp"
#include <iostream>
int main() {
u32 n;
std::cin >> n;
std::cout << n << ':';
for (auto [p, e]: factorize(n)) {
while (e--) {
std::cout << ' ' << p;
}
}
std::cout << '\n';
return 0;
}