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#include <fstream>
#include <queue>
std::ifstream f("huffman.in");
std::ofstream g("huffman.out");
struct Node { long long val; long leftPos, rightPos;};
Node nodes[2000001];
long long unsigned len[1000001];
long long unsigned code[1000001];
long getNodePosWithMinValue(Node nodes[], std::queue<long>& initial, std::queue<long>& internal)
{
long pos = -1;
if(initial.empty())
{
pos = internal.front();
internal.pop();
}
else if(internal.empty())
{
pos = initial.front();
initial.pop();
}
else
{
long initialFront = initial.front();
long internalFront = internal.front();
if(nodes[initialFront].val < nodes[internalFront].val)
{
pos = initialFront;
initial.pop();
}
else
{
pos = internalFront;
internal.pop();
}
}
return pos;
}
long Huffman(Node nodes[], long n, std::queue<long> initial)
{
std::queue<long> internal;
while( ( initial.size() + internal.size() ) > 1)
{
int leftPos = getNodePosWithMinValue(nodes, initial, internal);
int rightPos = getNodePosWithMinValue(nodes, initial, internal);
nodes[++n].val = nodes[leftPos].val + nodes[rightPos].val;
nodes[n].leftPos = leftPos;
nodes[n].rightPos = rightPos;
internal.push(n);
}
return internal.front();
}
void DepthFirst(Node nodes[], long pos, long long int val = 0, long length = 0)
{
if (nodes[pos].leftPos != -1)
{
DepthFirst(nodes, nodes[pos].leftPos, val * 2, length + 1);
}
if (nodes[pos].rightPos != -1)
{
DepthFirst(nodes, nodes[pos].rightPos, val * 2 + 1, length + 1);
}
if (nodes[pos].rightPos == -1 && nodes[pos].leftPos == -1)
{
len[pos] = length;
code[pos] = val;
}
}
int main()
{
long n;
f >> n;
std::queue<long> initial;
for(long i = 0; i < n; ++i)
{
f >> nodes[i].val;
nodes[i].leftPos = -1;
nodes[i].rightPos = -1;
initial.push(i);
}
long root = Huffman(nodes, n, initial);
DepthFirst(nodes, root);
long long unsigned lg = 0;
for (long i = 0; i < n; ++i)
{
lg += len[i] * nodes[i].val;
}
g << lg << '\n';
for (long i = 0; i < n; ++i)
{
g << len[i] << ' ' << code[i] << '\n';
}
f.close();
g.close();
return 0;
}