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template <ll mdl> struct MLL {
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template <ll mdl> struct MLL {
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ll val;
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ll val;
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MLL(ll v = 0) : val(mod(v, mdl)) {}
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MLL(ll v = 0) : val(mod(v, mdl)) {}
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MLL operator+(const MLL& rhs) { return mod(val + rhs.val, mdl); }
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friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); }
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MLL operator-(const MLL& rhs) { return mod(val - rhs.val, mdl); }
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friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); }
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MLL operator*(const MLL& rhs) { return mod(val * rhs.val, mdl); }
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friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); }
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MLL operator/(const MLL& rhs) { return mod(val * mod(inverse(rhs.val, mdl), mdl), mdl); }
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friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); }
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MLL operator%(const MLL& rhs) { return mod(val - (*this / rhs).val, mdl); }
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friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); }
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void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
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void operator+=(const MLL& rhs) { val = (*this + rhs).val; }
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void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
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void operator-=(const MLL& rhs) { val = (*this - rhs).val; }
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void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
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void operator*=(const MLL& rhs) { val = (*this * rhs).val; }
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void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
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void operator/=(const MLL& rhs) { val = (*this / rhs).val; }
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void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
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void operator%=(const MLL& rhs) { val = (*this % rhs).val; }
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};
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};
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template <ll mdl>
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ostream& operator<<(ostream& out, const MLL<mdl>& num) {
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return out << num.val;
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}
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