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using namespace std;
#include <fstream>
#include <vector>
#include <algorithm>
#include <string>
#include <queue>
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#define Nmax 1000000
struct _node { int ord; ll freq; _node *l, *r; };
class _queue
{
private:
_node *Q1[Nmax], *Q2[Nmax];
int l1, r1, l2, r2;
public:
_queue() : l1(0), r1(-1), l2(0), r2(-1) {}
void init(const vector< int > &v)
{
for (int i = 0; i < static_cast<int>(v.size()); ++i)
{
_node *temp = new _node;
temp->l = temp->r = nullptr;
temp->freq = v[i];
temp->ord = i;
Q1[++r1] = temp;
}
}
_node* getMin()
{
_node *ret;
if (l1 > r1) ret = Q2[l2], ++l2;
else if (l2 > r2) ret = Q1[l1], ++l1;
else if (Q1[l1]->freq < Q2[l2]->freq)
{
ret = Q1[l1];
++l1;
}
else
{
ret = Q2[l2];
++l2;
}
return ret;
}
void push(_node *node)
{
Q2[++r2] = node;
}
int size()
{
return static_cast<int>(r1 - l1 + 1 + r2 - l2 + 1);
}
} Q;
int n;
vector< int > freq, lg;
vector< ll > codes;
void read();
void getCodes(_node*, ll, int);
void write();
int main()
{
_node *root;
read();
Q.init(freq);
while (Q.size() > 1)
{
root = new _node;
root->l = Q.getMin();
root->r = Q.getMin();
root->freq = root->l->freq + root->r->freq;
root->ord = -1;
Q.push(root);
}
codes.resize(n);
lg.resize(n);
getCodes(root, 0, 0);
write();
return 0;
}
void read()
{
ifstream fin("huffman.in");
fin >> n;
freq.resize(n);
for (int i = 0; i < n; ++i) fin >> freq[i];
fin.close();
}
void getCodes(_node* node, ll code, int l)
{
if (!node->l) codes[node->ord] = code, lg[node->ord] = l;
else
{
getCodes(node->l, code << 1, l + 1);
getCodes(node->r, (code << 1) + 1, l + 1);
}
}
void write()
{
int i;
ll lgCode;
ofstream fout("huffman.out");
for (lgCode = 0, i = 0; i < n; ++i)
lgCode += 1LL * freq[i] * lg[i];
fout << lgCode << '\n';
for (i = 0; i < n; ++i)
fout << lg[i] << ' ' << codes[i] << '\n';
fout.close();
}