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Cod sursa(job #370676)
// Huffman cu heap, O(n log n)
#include <stdio.h>
#include <algorithm>
#include <vector>
using namespace std;
#define maxn 1000100
#define inf 1LL * 1000000000 * 1000000000
#define mp make_pair
#define ff first
#define ss second
#define pb push_back
struct nod
{
long long v;
long f[2];
} nod[2*maxn];
long n, i, j, k, p, a[maxn];
long long b[maxn], m, sol;
long lg[maxn];
vector<pair<long long, long> > v;
pair<long long, long> per;
void df(long poz, long long cod, long nivel)
{
if(nod[poz].f[0])
{
df(nod[poz].f[0], cod*2, nivel+1);
df(nod[poz].f[1], cod*2+1, nivel+1);
return;
}
lg[poz]=nivel;
b[poz]=cod;
sol+=lg[poz]*nod[poz].v;
}
void solve()
{
k=n;
make_heap(v.begin(), v.end());
while(v.size()>1)
{
++k;
p=0;
m=inf;
for(i=0; i<2; i++)
{
per=(*v.begin());
pop_heap(v.begin(), v.end());
v.pop_back();
nod[k].f[i]=-per.ss;
nod[k].v+=(-per.ff);
}
v.pb(mp(-nod[k].v, -k));
push_heap(v.begin(), v.end());
// sol+=nod[k].v;
}
df(k, 0, 0);
}
int main()
{
freopen("huffman.in", "r", stdin);
freopen("huffman.out", "w", stdout);
scanf("%d", &n);
for(i=1; i<=n; i++)
{
scanf("%d", &nod[i].v);
v.pb(mp(-(1LL * nod[i].v), -i));
}
solve();
printf("%lld\n", sol);
for(i=1; i<=n; i++)
{
printf("%d %lld\n", lg[i], b[i]);
}
return 0;
}