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template<typename T>
T extgcd(T a, T b, T &x ,T &y){
for (T u = y = 1, v = x = 0; a; ) {
ll q = b/a;
swap(x -= q*u, u);
swap(y -= q*v, v);
swap(b -= q*a, a);
}
return b;
}
#line 1 "math/extgcd.cpp"
template<typename T>
T extgcd(T a, T b, T &x ,T &y){
for (T u = y = 1, v = x = 0; a; ) {
ll q = b/a;
swap(x -= q*u, u);
swap(y -= q*v, v);
swap(b -= q*a, a);
}
return b;
}