diff --git a/include.hh b/include.hh
index af4271c..cd29fd8 100644
--- a/include.hh
+++ b/include.hh
@@ -381,17 +381,42 @@ template <ll mdl> struct MLL {
     void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
     void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
 };
+struct MLLd {
+    ll val, mdl;
+    MLLd(ll mdl, ll v = 0) : mdl(mdl), val(mod(v, mdl)) {}
+    MLLd(const MLLd& other) : val(other.val) {}
+    friend MLLd operator+(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val + rhs.val, mdl); }
+    friend MLLd operator-(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - rhs.val, mdl); }
+    friend MLLd operator*(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * rhs.val, mdl); }
+    friend MLLd operator/(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
+    friend MLLd operator%(const MLLd& lhs, const MLLd& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
+    friend bool operator==(const MLLd& lhs, const MLLd& rhs) { return lhs.val == rhs.val; }
+    friend bool operator!=(const MLLd& lhs, const MLLd& rhs) { return lhs.val != rhs.val; }
+    void operator+=(const MLLd& rhs) { val = (*this + rhs).val; }
+    void operator-=(const MLLd& rhs) { val = (*this - rhs).val; }
+    void operator*=(const MLLd& rhs) { val = (*this * rhs).val; }
+    void operator/=(const MLLd& rhs) { val = (*this / rhs).val; }
+    void operator%=(const MLLd& rhs) { val = (*this % rhs).val; }
+};
 
 template <ll mdl>
 ostream& operator<<(ostream& out, const MLL<mdl>& num) {
     return out << num.val;
 }
 
+ostream& operator<<(ostream& out, const MLLd& num) {
+    return out << num.val;
+}
+
 template <ll mdl>
 istream& operator>>(istream& in, MLL<mdl>& num) {
     return in >> num.val;
 }
 
+istream& operator>>(istream& in, MLLd& num) {
+    return in >> num.val;
+}
+
 // miscancellous
 template <typename Func, typename RandomIt> void sort_by_key(RandomIt first, RandomIt last, Func extractor) {
     std::sort(first, last, [&] (auto&& a, auto&& b) { return std::less<>()(extractor(a), extractor(b)); });