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#include <fstream>
#include <queue>
using namespace std;
struct node
{
char type;
long long val;
node *parent;
node(char t='n', long long v = 0, node* p = nullptr) : type(t), val(v), parent(p) {};
};
pair<long long, long long> getCode(node* nod)
{
long long lung = 0;
long long cod = 0;
int pow = 1;
while (nod->type != 'n')
{
++lung;
if (nod->type == 'r')
cod += pow;
pow *= 2;
nod = nod->parent;
}
return make_pair(lung, cod);
}
int main()
{
ifstream in("huffman.in");
ofstream out("huffman.out");
int nodes;
long long freq;
long long lg = 0;
vector<node*> symbol_q;
queue<node*> internal_q;
in >> nodes;
for(int i=0;i<nodes;++i)
{
in >> freq;
symbol_q.push_back(new node('n',freq,nullptr));
}
int pos = 0;
while(pos < nodes || internal_q.size() > 1)
{
node *min1, *min2;
if (pos == nodes)
{
min1 = internal_q.front();
internal_q.pop();
min2 = internal_q.front();
internal_q.pop();
lg += min1->val + min2->val;
}
else if(internal_q.empty())
{
min1 = symbol_q[pos];
++pos;
min2 = symbol_q[pos];
++pos;
}
else
{
if (symbol_q[pos]->val <= internal_q.front()->val)
{
min1 = symbol_q[pos];
++pos;
}
else
{
min1 = internal_q.front();
internal_q.pop();
lg += min1->val;
}
if (symbol_q[pos]->val <= internal_q.front()->val)
{
min2 = symbol_q[pos];
++pos;
}
else
{
min2 = internal_q.front();
internal_q.pop();
lg += min2->val;
}
}
internal_q.push(new node('n', min1->val + min2->val, nullptr));
min1->type = 'l';
min1->parent = internal_q.back();
min2->type = 'r';
min2->parent = internal_q.back();
}
lg += internal_q.front()->val;
in.close();
out << lg<<"\n";
for(auto symbol : symbol_q)
{
auto res = getCode(symbol);
out << res.first << " " << res.second << "\n";
}
}