2012-09-15 10:51:54| 人797| 回0 | 上一篇 | 下一篇

Immediate Decodability

An encoding of a set of symbols is said to be immediately decodable if no code for one symbol is the prefix of a code for another symbol. We will assume for this problem that all codes are in binary, that no two codes within a set of codes are the same, that each code has at least one bit and no more than ten bits, and that each set has at least two codes and no more than eight.

Examples: Assume an alphabet that has symbols {A, B, C, D}

The following code is immediately decodable:

A:01 B:10 C:0010 D:0000

but this one is not:

A:01 B:10 C:010 D:0000 (Note that A is a prefix of C)

Input

Write a program that accepts as input a series of groups of records from a data file. Each record in a group contains a collection of zeroes and ones representing a binary code for a different symbol. Each group is followed by a single separator record containing a single 9; the separator records are not part of the group. Each group is independent of other groups; the codes in one group are not related to codes in any other group (that is, each group is to be processed independently).

Output

For each group, your program should determine whether the codes in that group are immediately decodable, and should print a single output line giving the group number and stating whether the group is, or is not, immediately decodable.

The Sample Input describes the examples above.

Sample Input

01 10 0010 0000 9 01 10 010 0000 9

Sample Output

Set 1 is immediately decodable Set 2 is not immediately decodable

在散中有到, 於必只有唯一的一解,
所以你必方式建造成一棵字典(Trie), 然而於某方式都停留在,
如此一才不生模可的情


#include <stdio.h>
typedef struct {
 int l, r, s;
} Node;
Node nd[10000];
int size, flag;
void Trie(char s[]) {
 static int i, idx;
 for(i = 0, idx = 0; s[i]; i++) {
 if(s[i] == '0') {
 if(!nd[idx].l)
 ++size, nd[idx].l = size,
 nd[size].l = 0, nd[size].r = 0, nd[size].s = 0;
 idx = nd[idx].l;
 }
 else {
 if(!nd[idx].r)
 ++size, nd[idx].r = size,
 nd[size].l = 0, nd[size].r = 0, nd[size].s = 0;
 idx = nd[idx].r;
 }
 if(nd[idx].s) {
 flag = 1;
 return;
 }
 }
 if(nd[idx].l || nd[idx].r)
 flag = 1;
 nd[idx].s = 1;
}
int main() {
 char s[100];
 int cases = 0;
 while(gets(s)) {
 flag = 0, size = 0;
 nd[0].l = 0, nd[0].r = 0;
 Trie(s);
 while(gets(s)) {
 if(s[0] == '9') break;
 if(flag) continue;
 Trie(s);
 }
 printf("Set %d is %simmediately decodable\n", ++cases, !flag ? "" : "not ");
 }
 return 0;
}