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#include <bits/stdc++.h>
#define llg long long
#define int_pair std::pair <llg, int>
class HuffmanCoding {
public:
std::vector <int> lg;
std::vector <llg> bits;
HuffmanCoding(const std::vector <int>& frequencies) {
buildTree(frequencies);
lg.resize(frequencies.size());
bits.resize(frequencies.size());
DFS(tree.size()-1);
}
private:
void buildTree(const std::vector <int>& frequencies) {
tree.resize(frequencies.size());
for (int i=0; i<tree.size(); ++i)
tree[i].rang = frequencies[i];
std::queue <int> queue1, queue2;
for (int i=0; i<tree.size(); ++i)
queue1.push(i);
int min[2];
while (queue1.size() + queue2.size() >= 2) {
for (int i=0; i<2; ++i) {
if (queue1.empty())
min[i] = queue2.front(), queue2.pop();
else if (queue2.empty())
min[i] = queue1.front(), queue1.pop();
else if (tree[queue1.front()].rang < tree[queue2.front()].rang)
min[i] = queue1.front(), queue1.pop();
else
min[i] = queue2.front(), queue2.pop();
} tree.push_back(node(tree[min[0]].rang + tree[min[1]].rang, min[0], min[1]));
queue2.push(tree.size()-1);
}
}
void DFS(int vertex, llg encoding = 0, int lvl = 0) {
if (tree[vertex].son[0] == -1 && tree[vertex].son[1] == -1) {
lg[vertex] = lvl;
bits[vertex] = encoding;
return;
}
for (int i=0; i<2; ++i)
if (tree[vertex].son[i] != -1)
DFS(tree[vertex].son[i], 2*encoding + i, lvl+1);
}
protected:
struct node {
node(llg rang = 0, int son0 = -1, int son1 = -1) : rang(rang) {son[0] = son0; son[1] = son1;}
llg rang; int son[2];
};
public:
std::vector <node> tree;
};
const int MAXN = 1e6 + 5;
const llg INF = 1e18;
int N;
std::vector <int> freq;
std::ifstream input ("huffman.in");
std::ofstream output("huffman.out");
void readInput() {
input >> N;
freq.resize(N);
for (auto &it:freq)
input >> it;
}
void solveInput() {
HuffmanCoding huffman(freq);
llg sum = 0;
for (int i=0; i<huffman.tree.size(); ++i)
sum += huffman.tree[i].rang;
for (auto &it:freq)
sum -= it;
output << sum << '\n';
for (int i=0; i<N; ++i)
output << huffman.lg[i] << ' ' << huffman.bits[i] << '\n';
}
int main()
{
readInput();
solveInput();
return 0;
}