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/*
* @title SwagDeque
* @docs md/data-structure/SwagDeque.md
*/
template<class Operator> class SwagDeque{
public:
using TypeNode = typename Operator::TypeNode;
stack<pair<TypeNode,TypeNode>> pre,suf;
stack<TypeNode> tmp;
SwagDeque() {
// do nothing
}
TypeNode fold() {
TypeNode res = Operator::unit_node;
if(pre.size()) res = Operator::func_node(pre.top().second,res);
if(suf.size()) res = Operator::func_node(res,suf.top().second);
return res;
}
void push_back(const TypeNode val) {
TypeNode acc = val;
if(suf.size()) acc = Operator::func_node(suf.top().second,val);
suf.emplace(val,acc);
}
void push_front(const TypeNode val) {
TypeNode acc = val;
if(pre.size()) acc = Operator::func_node(val,pre.top().second);
pre.emplace(val,acc);
}
void pop_back() {
if(suf.empty()) {
while(pre.size()>tmp.size()+1) {
tmp.push(pre.top().first); pre.pop();
}
{
TypeNode acc = Operator::unit_node;
while(pre.size()) {
auto [val,_] = pre.top(); pre.pop();
acc = Operator::func_node(acc,val);
suf.emplace(val,acc);
}
}
{
TypeNode acc = Operator::unit_node;
while(tmp.size()) {
TypeNode val = tmp.top(); tmp.pop();
acc = Operator::func_node(val,acc);
pre.emplace(val,acc);
}
}
}
suf.pop();
}
void pop_front() {
if(pre.empty()) {
while(suf.size()>tmp.size()+1) {
tmp.push(suf.top().first); suf.pop();
}
{
TypeNode acc = Operator::unit_node;
while(suf.size()) {
auto [val,_] = suf.top(); suf.pop();
acc = Operator::func_node(val,acc);
pre.emplace(val,acc);
}
}
{
TypeNode acc = Operator::unit_node;
while(tmp.size()) {
TypeNode val = tmp.top(); tmp.pop();
acc = Operator::func_node(acc,val);
suf.emplace(val,acc);
}
}
}
pre.pop();
}
size_t size() const {
return pre.size()+suf.size();
}
bool empty() const {
return pre.empty() && suf.empty();
}
void print() {
stack<pair<TypeNode,TypeNode>> ls,rs;
vector<pair<TypeNode,TypeNode>> lv,rv;
while(pre.size()) {
auto p=pre.top(); pre.pop();
lv.push_back(p);
ls.push(p);
}
while(suf.size()) {
rs.emplace(suf.top()); suf.pop();
}
while(ls.size()) {
pre.push(ls.top()); ls.pop();
}
while(rs.size()) {
auto p=rs.top(); rs.pop();
rv.push_back(p);
suf.push(p);
}
cout << "{";
for(int i=0;i<lv.size();++i) {
cout << "{" << lv[i].first << ":" << lv[i].second << "} ";
}
cout << "} , {";
for(int i=0;i<rv.size();++i) {
cout << "{" << rv[i].first << ":" << rv[i].second << "} ";
}
cout << "}" << endl;
}
};
template<class T> struct NodeGcd {
using TypeNode = T;
inline static constexpr TypeNode unit_node = 0;
inline static constexpr TypeNode func_node(TypeNode l,TypeNode r){return r?func_node(r,l%r):l;}
};
template<class T> struct NodeComposite {
using TypeNode = T;
inline static constexpr TypeNode unit_node = {1,0};
inline static constexpr TypeNode func_node(TypeNode l,TypeNode r){return {l.first*r.first, r.first*l.second+r.second};}
};
#line 1 "lib/15-queue/SwagDeque.cpp"
/*
* @title SwagDeque
* @docs md/data-structure/SwagDeque.md
*/
template<class Operator> class SwagDeque{
public:
using TypeNode = typename Operator::TypeNode;
stack<pair<TypeNode,TypeNode>> pre,suf;
stack<TypeNode> tmp;
SwagDeque() {
// do nothing
}
TypeNode fold() {
TypeNode res = Operator::unit_node;
if(pre.size()) res = Operator::func_node(pre.top().second,res);
if(suf.size()) res = Operator::func_node(res,suf.top().second);
return res;
}
void push_back(const TypeNode val) {
TypeNode acc = val;
if(suf.size()) acc = Operator::func_node(suf.top().second,val);
suf.emplace(val,acc);
}
void push_front(const TypeNode val) {
TypeNode acc = val;
if(pre.size()) acc = Operator::func_node(val,pre.top().second);
pre.emplace(val,acc);
}
void pop_back() {
if(suf.empty()) {
while(pre.size()>tmp.size()+1) {
tmp.push(pre.top().first); pre.pop();
}
{
TypeNode acc = Operator::unit_node;
while(pre.size()) {
auto [val,_] = pre.top(); pre.pop();
acc = Operator::func_node(acc,val);
suf.emplace(val,acc);
}
}
{
TypeNode acc = Operator::unit_node;
while(tmp.size()) {
TypeNode val = tmp.top(); tmp.pop();
acc = Operator::func_node(val,acc);
pre.emplace(val,acc);
}
}
}
suf.pop();
}
void pop_front() {
if(pre.empty()) {
while(suf.size()>tmp.size()+1) {
tmp.push(suf.top().first); suf.pop();
}
{
TypeNode acc = Operator::unit_node;
while(suf.size()) {
auto [val,_] = suf.top(); suf.pop();
acc = Operator::func_node(val,acc);
pre.emplace(val,acc);
}
}
{
TypeNode acc = Operator::unit_node;
while(tmp.size()) {
TypeNode val = tmp.top(); tmp.pop();
acc = Operator::func_node(acc,val);
suf.emplace(val,acc);
}
}
}
pre.pop();
}
size_t size() const {
return pre.size()+suf.size();
}
bool empty() const {
return pre.empty() && suf.empty();
}
void print() {
stack<pair<TypeNode,TypeNode>> ls,rs;
vector<pair<TypeNode,TypeNode>> lv,rv;
while(pre.size()) {
auto p=pre.top(); pre.pop();
lv.push_back(p);
ls.push(p);
}
while(suf.size()) {
rs.emplace(suf.top()); suf.pop();
}
while(ls.size()) {
pre.push(ls.top()); ls.pop();
}
while(rs.size()) {
auto p=rs.top(); rs.pop();
rv.push_back(p);
suf.push(p);
}
cout << "{";
for(int i=0;i<lv.size();++i) {
cout << "{" << lv[i].first << ":" << lv[i].second << "} ";
}
cout << "} , {";
for(int i=0;i<rv.size();++i) {
cout << "{" << rv[i].first << ":" << rv[i].second << "} ";
}
cout << "}" << endl;
}
};
template<class T> struct NodeGcd {
using TypeNode = T;
inline static constexpr TypeNode unit_node = 0;
inline static constexpr TypeNode func_node(TypeNode l,TypeNode r){return r?func_node(r,l%r):l;}
};
template<class T> struct NodeComposite {
using TypeNode = T;
inline static constexpr TypeNode unit_node = {1,0};
inline static constexpr TypeNode func_node(TypeNode l,TypeNode r){return {l.first*r.first, r.first*l.second+r.second};}
};