#include<fstream>
#include<deque>
#define INF 1000000000000000000LL
#define N 1000100
#define D 10000
using namespace std;
ofstream g("huffman.out");
int n,i,x,m,poz = D,a0,a1,b0,b1,l[N],v[N];
long long c[N],lg;
pair<long long,int> a[N],b[N];
pair<int,int>fi[2 * N];
pair<long long, int>fs,fd;
char buf[D];
inline int ianr(){
unsigned int nr=0;
while((buf[poz] < '0' || buf[poz] > '9') && buf[poz] != '-')
if(++ poz >= D)
fread(buf , D , 1 , stdin) , poz = 0;
int semn = 1;
if(buf[poz] == '-')
++ poz , semn = -1;
while('0' <= buf[poz] && buf[poz] <= '9')
{
nr = nr * 10 + buf[poz] - '0';
if(++ poz >= D)
fread(buf , D , 1 , stdin) , poz = 0;
}
return nr * semn;
}
inline pair<long long,int> iaper(){
pair<long long,int>x,y;
if(a0 <= a1)
x = a[a0];
else
x = make_pair(INF,0);
if(b0 <= b1)
y = b[b0];
else
y = make_pair(INF,0);
if(x < y)
{
++a0;
return x;
}
else
{
++b0;
return y;
}
}
inline void dfs(int x,int niv,long long cod){
if(x <= n)
{
lg += niv * v[x];
c[x] = cod;
l[x] = niv;
return;
}
dfs(fi[x].first, niv + 1, cod * 2);
dfs(fi[x].second, niv + 1, cod * 2 + 1);
}
int main()
{
freopen("huffman.in","r",stdin);
n = ianr();
for(int i = 1; i <= n; ++i)
{
v[i] = ianr();
a[++a1] = make_pair(1LL * v[i],i);
}
a0 = b0 = 1;
m = n;
for(int i = 1; i < n; ++ i)
{
fs = iaper();
fd = iaper();
fi[++m] = make_pair(fs.second, fd.second);
b[++b1] = make_pair(fs.first + fd.first, m);
}
dfs(m,0,0);
g << lg << '\n';
for(int i = 1; i <= n; ++i)
g << l[i] << ' ' << c[i] <<'\n';
return 0;
}