#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <limits.h>
#define OK 1
#define ERROR 0
#define TRUE 1
#define FALSE 0
#define OVERFLOW -1
#define MAX_TREE_SIZE 100
typedef int Status;
typedef struct {
unsigned int weight;
unsigned int parent,lchild,rchild;
}HTNode,*HuffmanTree;
typedef char **HuffmanCode;
int min1(HuffmanTree t,int i) {
int j,flag;
unsigned int k=UINT_MAX;
for(j=1;j<=i;j++)
if(t[j].weight<k&&t[j].parent==0)
k=t[j].weight,flag=j;
t[flag].parent=1;
return flag;
}
void select(HuffmanTree t,int i,int *s1,int *s2) {
int j;
*s1=min1(t,i);
*s2=min1(t,i);
if(*s1>*s2) {
j=*s1;
*s1=*s2;
*s2=j;
}
}
void HuffmanCoding(HuffmanTree *HT,HuffmanCode *HC,int *w,int n) {
int m,i,s1,s2,start;
unsigned c,f;
HuffmanTree p;
char *cd;
if(n<=1) return;
m=2*n-1;
*HT=(HuffmanTree)malloc((m+1)*sizeof(HTNode));
for(p=*HT+1,i=1;i<=n;++i,++p,++w) {
(*p).weight=*w; (*p).parent=(*p).lchild=(*p).rchild=0;
}
for(;i<=m;++i,++p) (*p).parent=0;
for(i=n+1;i<=m;++i) {
select(*HT,i-1,&s1,&s2);
(*HT)[s1].parent=(*HT)[s2].parent=i;
(*HT)[i].lchild=s1;
(*HT)[i].rchild=s2;
(*HT)[i].weight=(*HT)[s1].weight+(*HT)[s2].weight;
}
*HC=(HuffmanCode)malloc((n+1)*sizeof(char*));
cd=(char*)malloc(n*sizeof(char));
cd[n-1]='\0';
for(i=1;i<=n;i++) {
start=n-1;
for(c=i,f=(*HT)[i].parent;f!=0;c=f,f=(*HT)[f].parent)
if((*HT)[f].lchild==c) cd[--start]='0';
else cd[--start]='1';
(*HC)[i]=(char*)malloc((n-start)*sizeof(char));
strcpy((*HC)[i],&cd[start]);
}
free(cd);
}
int main() {
HuffmanTree HT;
HuffmanCode HC;
int *w,n,i,c;
scanf("%d",&n);
c=n;
w=(int*)malloc(n*sizeof(int));
for(i=0;i<=n-1;i++)
scanf("%d",w+i);
HuffmanCoding(&HT,&HC,w,n);
while(n--) puts(HC[c-n]);
return 0;
}
/**************************************************************
Problem: 2158
User: admin
Language: C
Result: Accepted
Time:9 ms
Memory:1144 kb
****************************************************************/