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// BEGIN CUT
template<class T, class S, class F>
struct SWAG {
// using F = function<S(S,T)>;
F f; S id;
stack<T> lt, rt;
stack<S> ls, rs;
SWAG(F f, S d) : f(f), id(d) {
ls.push(id);
rs.push(id);
}
void push_back(T x) {
rt.push(x);
rs.push(f(rs.top(), x));
}
void pop_front() {
if(lt.empty()) {
while(rt.size()) {
T x = rt.top(); rt.pop(); rs.pop();
lt.push(x);
ls.push(f(ls.top(), x));
}
}
lt.pop();
ls.pop();
}
template<class Q>
void fold(Q q) { q(ls.top(), rs.top()); }
};
// END CUT
#line 1 "data_structure/sliding_window_aggregation.cpp"
// BEGIN CUT
template<class T, class S, class F>
struct SWAG {
// using F = function<S(S,T)>;
F f; S id;
stack<T> lt, rt;
stack<S> ls, rs;
SWAG(F f, S d) : f(f), id(d) {
ls.push(id);
rs.push(id);
}
void push_back(T x) {
rt.push(x);
rs.push(f(rs.top(), x));
}
void pop_front() {
if(lt.empty()) {
while(rt.size()) {
T x = rt.top(); rt.pop(); rs.pop();
lt.push(x);
ls.push(f(ls.top(), x));
}
}
lt.pop();
ls.pop();
}
template<class Q>
void fold(Q q) { q(ls.top(), rs.top()); }
};
// END CUT