poj_1056_IMMEDIATE_DECODABILITY.cpp

Problem Links:

poj1056,

Problem:

IMMEDIATE DECODABILITY

Time Limit: 1000MS		Memory Limit: 10000K
Total Submissions: 6428		Accepted: 3079

Description

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 standard input. 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.

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

Source

Pacific Northwest 1998

Solution:

Trie Tree;

Source Code:

//Mon Jul  5 15:51:51 CDT 2010
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <ctime>
#define MMAX 100000
using namespace std;
int Count;
class TreeNode
{
public:
    bool istring;
    TreeNode *child[10];
};
vector<TreeNode> v(MMAX);
class TrieTree
{
private:
    TreeNode root;
public:
    void init();
    bool insert(string word);
};
void TrieTree::init()
{
    Count = 0;
    root = v[Count++];
    memset(root.child, NULL, sizeof(root.child));
    root.istring = false;
}
bool TrieTree::insert(string word)
{
    TreeNode *start = &root;
    int len = word.size();
    for (int i = 0; i < len; i++)
    {
        if (start->child[word[i] - '0'] == NULL)
        {
            start->child[word[i] - '0'] = &v[Count];
            v[Count].istring = false;
            memset(v[Count].child, NULL, sizeof(v[Count].child));
            Count++;
        }
        else if (start->child[word[i] - '0']->istring == true || i == len - 1)
        {
            start->child[word[i] - '0']->istring = true;
            return false;
        }
        start = start->child[word[i] - '0'];
    }
    start->istring = true;
    return true;
}
int main(int argc, const char* argv[])
{
//  freopen("input.in", "r", stdin);
//  freopen("output.out", "w", stdout);
    int ncase = 0;
    string str;
    bool flag = true;
    TrieTree x;
    x.init();
    while (cin >> str)
    {
        if (str == "9")
        {
            if (flag == false)
            {
                cout << "Set " << ++ncase << " is not immediately decodable"
                        << endl;
            }
            else
            {
                cout << "Set " << ++ncase << " is immediately decodable"
                        << endl;
            }
            flag = true;
            x.init();
        }
        else if (x.insert(str) == false)
        {
            flag = false;
        }
    }
//  fclose(stdin);
//  fclose(stdout);
    return 0;
}