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- #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx")
- #pragma GCC optimize 03
- #pragma GCC optimize("unroll-loops")
- #include <iostream>
- #include <iomanip>
- #include <algorithm>
- #include <iterator>
- #include <cmath>
- #include <ctime>
- #include <vector>
- #include <deque>
- #include <queue>
- #include <set>
- #include <map>
- #include <stack>
- #include <string>
- #include <random>
- #include <numeric>
- #include <unordered_set>
- #include <unordered_map>
- #include <ext/pb_ds/assoc_container.hpp>
- #include <ext/pb_ds/tree_policy.hpp>
- using namespace std;
- using namespace __gnu_pbds;
- typedef std::pair<int, int> pii;
- typedef std::pair<char, char> pcc;
- typedef std::pair<short, char> psc;
- typedef unsigned long long ull;
- typedef long long ll;
- typedef long double lb;
- typedef tree<int,
- null_type,
- less<int>,
- rb_tree_tag,
- tree_order_statistics_node_update> ordered_set;
- #define fast ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
- #define file_in freopen("input.txt", "r", stdin);
- #define file_in_out freopen("commander.in", "r", stdin); freopen("commander.out", "w", stdout);
- #define all(x) (x).begin(), (x).end()
- #define fi first
- #define se second
- template<typename T>
- istream& operator>>(istream &in, vector<T> &v) {
- for (auto &it : v) {
- in >> it;
- }
- return in;
- }
- template<typename T>
- ostream& operator<<(ostream &out, const vector<T> &v) {
- for (auto &it : v) {
- out << it << " ";
- }
- return out;
- }
- template<typename T1, typename T2>
- istream& operator>>(istream &in, pair<T1, T2> &v) {
- in >> v.fi >> v.se;
- return in;
- }
- template<typename T1, typename T2>
- ostream& operator<<(ostream &out, const pair<T1, T2> &v) {
- out << v.fi << " " << v.se;
- return out;
- }
- int ans = 0;
- ll l, r, x, y;
- bool not_overflow(lb a, lb b) {
- return a <= (1ll << 62) / b;
- }
- map<pair<ll, ll>, char> used;
- void rec(int i, ll p, vector<vector<ll>> pp) {
- if (i == pp.size()) {
- if (l <= p && p <= r && l <= x * y / p && x * y / p <= r && gcd(p, x * y / p) == x && lcm(p, x * y / p) == y && !used[{p, x * y / p}]) {
- used[{p, x * y / p}] = 1;
- ++ans;
- }
- return;
- }
- for (auto el : pp[i]) {
- if (not_overflow(p, el)) rec(i + 1, p * el, pp);
- }
- }
- int main() {
- fast
- // file_in
- // file_in_out
- cin >> l >> r >> x >> y;
- ll xx = x, yy = y;
- map<int, int> divs1, divs2;
- for (int i = 2; i * i <= xx; ++i) {
- int c = 0;
- while (xx % i == 0) { ++c; xx /= i; }
- divs1[i] = c;
- }
- for (int i = 2; i * i <= yy; ++i) {
- int c = 0;
- while (yy % i == 0) { ++c; yy /= i; }
- divs2[i] = c;
- }
- divs1[xx] = (xx != 1); divs2[yy] = (yy != 1);
- for (auto [d, c] : divs1) {
- divs1[d] += divs2[d];
- divs2[d] = 0;
- }
- vector<pii> div;
- for (auto el : divs1) if (el.se != 0) div.push_back(el);
- for (auto el : divs2) if (el.se != 0) div.push_back(el);
- int n = div.size();
- for (int i = 0; i < (1 << n); ++i) {
- int j = i, k = 0;
- vector<vector<ll>> pp;
- while (j) {
- if (j & 1) {
- vector<ll> now;
- ll st = div[k].fi;
- for (int s = 0; s < div[k].se; ++s) { now.push_back(st); st *= div[k].fi; }
- pp.push_back(now);
- }
- j >>= 1;
- ++k;
- }
- rec(0, 1, pp);
- }
- cout << ans << '\n';
- return 0;
- }
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