Escalera de palabras (longitud de la string más corta para llegar a una palabra objetivo)

Dado un diccionario y dos palabras ‘inicio’ y ‘objetivo’ (ambas de la misma longitud). Encuentre la longitud de la string más pequeña desde ‘inicio’ hasta ‘objetivo’ si existe, de modo que las palabras adyacentes en la string solo difieran en un carácter y cada palabra en la string sea una palabra válida, es decir, existe en el diccionario. Se puede suponer que la palabra ‘objetivo’ existe en el diccionario y que la longitud de todas las palabras del diccionario es la misma. 

Ejemplo: 

C++

// C++ program to find length
// of the shortest chain
// transformation from source
// to target
#include <bits/stdc++.h>
using namespace std;
 
// Returns length of shortest chain
// to reach 'target' from 'start'
// using minimum number of adjacent
// moves.  D is dictionary
int shortestChainLen(
string start, string target,
set<string>& D)
{
   
    if(start == target)
      return 0;
 
    // If the target string is not
    // present in the dictionary
    if (D.find(target) == D.end())
        return 0;
 
    // To store the current chain length
    // and the length of the words
    int level = 0, wordlength = start.size();
 
    // Push the starting word into the queue
    queue<string> Q;
    Q.push(start);
 
    // While the queue is non-empty
    while (!Q.empty()) {
 
        // Increment the chain length
        ++level;
 
        // Current size of the queue
        int sizeofQ = Q.size();
 
        // Since the queue is being updated while
        // it is being traversed so only the
        // elements which were already present
        // in the queue before the start of this
        // loop will be traversed for now
        for (int i = 0; i < sizeofQ; ++i) {
 
            // Remove the first word from the queue
            string word = Q.front();
            Q.pop();
 
            // For every character of the word
            for (int pos = 0; pos < wordlength; ++pos) {
 
                // Retain the original character
                // at the current position
                char orig_char = word[pos];
 
                // Replace the current character with
                // every possible lowercase alphabet
                for (char c = 'a'; c <= 'z'; ++c) {
                    word[pos] = c;
 
                    // If the new word is equal
                    // to the target word
                    if (word == target)
                        return level + 1;
 
                    // Remove the word from the set
                    // if it is found in it
                    if (D.find(word) == D.end())
                        continue;
                    D.erase(word);
 
                    // And push the newly generated word
                    // which will be a part of the chain
                    Q.push(word);
                }
 
                // Restore the original character
                // at the current position
                word[pos] = orig_char;
            }
        }
    }
 
    return 0;
}
 
// Driver program
int main()
{
    // make dictionary
    set<string> D;
    D.insert("poon");
    D.insert("plee");
    D.insert("same");
    D.insert("poie");
    D.insert("plie");
    D.insert("poin");
    D.insert("plea");
    string start = "toon";
    string target = "plea";
    cout << "Length of shortest chain is: "
         << shortestChainLen(start, target, D);
    return 0;
}

Java

// Java program to find length
// of the shortest chain
// transformation from source
// to target
import java.util.*;
 
class GFG
{
 
// Returns length of shortest chain
// to reach 'target' from 'start'
// using minimum number of adjacent moves.
// D is dictionary
static int shortestChainLen(String start,
                            String target,
                            Set<String> D)
{
 
     if(start == target)
      return 0;
    // If the target String is not
    // present in the dictionary
    if (!D.contains(target))
        return 0;
 
    // To store the current chain length
    // and the length of the words
    int level = 0, wordlength = start.length();
 
    // Push the starting word into the queue
    Queue<String> Q = new LinkedList<>();
    Q.add(start);
 
    // While the queue is non-empty
    while (!Q.isEmpty())
    {
 
        // Increment the chain length
        ++level;
 
        // Current size of the queue
        int sizeofQ = Q.size();
 
        // Since the queue is being updated while
        // it is being traversed so only the
        // elements which were already present
        // in the queue before the start of this
        // loop will be traversed for now
        for (int i = 0; i < sizeofQ; ++i)
        {
 
            // Remove the first word from the queue
            char []word = Q.peek().toCharArray();
            Q.remove();
 
            // For every character of the word
            for (int pos = 0; pos < wordlength; ++pos)
            {
 
                // Retain the original character
                // at the current position
                char orig_char = word[pos];
 
                // Replace the current character with
                // every possible lowercase alphabet
                for (char c = 'a'; c <= 'z'; ++c)
                {
                    word[pos] = c;
 
                    // If the new word is equal
                    // to the target word
                    if (String.valueOf(word).equals(target))
                        return level + 1;
 
                    // Remove the word from the set
                    // if it is found in it
                    if (!D.contains(String.valueOf(word)))
                        continue;
                    D.remove(String.valueOf(word));
 
                    // And push the newly generated word
                    // which will be a part of the chain
                    Q.add(String.valueOf(word));
                }
 
                // Restore the original character
                // at the current position
                word[pos] = orig_char;
            }
        }
    }
 
    return 0;
}
 
// Driver code
public static void main(String[] args)
{
    // make dictionary
    Set<String> D = new HashSet<String>();
    D.add("poon");
    D.add("plee");
    D.add("same");
    D.add("poie");
    D.add("plie");
    D.add("poin");
    D.add("plea");
    String start = "toon";
    String target = "plea";
    System.out.print("Length of shortest chain is: "
        + shortestChainLen(start, target, D));
}
}
 
// This code is contributed by PrinciRaj1992

Python3

# Python3 program to find length of the
# shortest chain transformation from source
# to target
from collections import deque
 
# Returns length of shortest chain
# to reach 'target' from 'start'
# using minimum number of adjacent
# moves. D is dictionary
def shortestChainLen(start, target, D):
     
    if start == target:
      return 0
    # If the target is not
    # present in the dictionary
    if target not in D:
        return 0
 
    # To store the current chain length
    # and the length of the words
    level, wordlength = 0, len(start)
 
    # Push the starting word into the queue
    Q =  deque()
    Q.append(start)
 
    # While the queue is non-empty
    while (len(Q) > 0):
         
        # Increment the chain length
        level += 1
 
        # Current size of the queue
        sizeofQ = len(Q)
 
        # Since the queue is being updated while
        # it is being traversed so only the
        # elements which were already present
        # in the queue before the start of this
        # loop will be traversed for now
        for i in range(sizeofQ):
 
            # Remove the first word from the queue
            word = [j for j in Q.popleft()]
            #Q.pop()
 
            # For every character of the word
            for pos in range(wordlength):
                 
                # Retain the original character
                # at the current position
                orig_char = word[pos]
 
                # Replace the current character with
                # every possible lowercase alphabet
                for c in range(ord('a'), ord('z')+1):
                    word[pos] = chr(c)
 
                    # If the new word is equal
                    # to the target word
                    if ("".join(word) == target):
                        return level + 1
 
                    # Remove the word from the set
                    # if it is found in it
                    if ("".join(word) not in D):
                        continue
                         
                    del D["".join(word)]
 
                    # And push the newly generated word
                    # which will be a part of the chain
                    Q.append("".join(word))
 
                # Restore the original character
                # at the current position
                word[pos] = orig_char
 
    return 0
 
# Driver code
if __name__ == '__main__':
     
    # Make dictionary
    D = {}
    D["poon"] = 1
    D["plee"] = 1
    D["same"] = 1
    D["poie"] = 1
    D["plie"] = 1
    D["poin"] = 1
    D["plea"] = 1
    start = "toon"
    target = "plea"
     
    print("Length of shortest chain is: ",
    shortestChainLen(start, target, D))
 
# This code is contributed by mohit kumar 29

C#

// C# program to find length of the shortest chain
// transformation from source to target
using System;
using System.Collections.Generic;
 
class GFG
{
 
// Returns length of shortest chain
// to reach 'target' from 'start'
// using minimum number of adjacent moves.
// D is dictionary
static int shortestChainLen(String start,
                            String target,
                            HashSet<String> D)
{
 
     if(start == target)
       return 0;
    // If the target String is not
    // present in the dictionary
    if (!D.Contains(target))
        return 0;
 
    // To store the current chain length
    // and the length of the words
    int level = 0, wordlength = start.Length;
 
    // Push the starting word into the queue
    List<String> Q = new List<String>();
    Q.Add(start);
 
    // While the queue is non-empty
    while (Q.Count != 0)
    {
 
        // Increment the chain length
        ++level;
 
        // Current size of the queue
        int sizeofQ = Q.Count;
 
        // Since the queue is being updated while
        // it is being traversed so only the
        // elements which were already present
        // in the queue before the start of this
        // loop will be traversed for now
        for (int i = 0; i < sizeofQ; ++i)
        {
 
            // Remove the first word from the queue
            char []word = Q[0].ToCharArray();
            Q.RemoveAt(0);
 
            // For every character of the word
            for (int pos = 0; pos < wordlength; ++pos)
            {
 
                // Retain the original character
                // at the current position
                char orig_char = word[pos];
 
                // Replace the current character with
                // every possible lowercase alphabet
                for (char c = 'a'; c <= 'z'; ++c)
                {
                    word[pos] = c;
 
                    // If the new word is equal
                    // to the target word
                    if (String.Join("", word).Equals(target))
                        return level + 1;
 
                    // Remove the word from the set
                    // if it is found in it
                    if (!D.Contains(String.Join("", word)))
                        continue;
                    D.Remove(String.Join("", word));
 
                    // And push the newly generated word
                    // which will be a part of the chain
                    Q.Add(String.Join("", word));
                }
 
                // Restore the original character
                // at the current position
                word[pos] = orig_char;
            }
        }
    }
    return 0;
}
 
// Driver code
public static void Main(String[] args)
{
    // make dictionary
    HashSet<String> D = new HashSet<String>();
    D.Add("poon");
    D.Add("plee");
    D.Add("same");
    D.Add("poie");
    D.Add("plie");
    D.Add("poin");
    D.Add("plea");
    String start = "toon";
    String target = "plea";
    Console.Write("Length of shortest chain is: "
        + shortestChainLen(start, target, D));
}
}
 
// This code is contributed by PrinciRaj1992

Javascript

<script>
// Javascript program to find length
// of the shortest chain
// transformation from source
// to target
     
// Returns length of shortest chain
// to reach 'target' from 'start'
// using minimum number of adjacent moves.
// D is dictionary
    function shortestChainLen(start,target,D)
    {
        if(start == target)
      return 0;
       
    // If the target String is not
    // present in the dictionary
    if (!D.has(target))
        return 0;
  
    // To store the current chain length
    // and the length of the words
    let level = 0, wordlength = start.length;
  
    // Push the starting word into the queue
    let Q = [];
    Q.push(start);
  
    // While the queue is non-empty
    while (Q.length != 0)
    {
  
        // Increment the chain length
        ++level;
  
        // Current size of the queue
        let sizeofQ = Q.length;
  
        // Since the queue is being updated while
        // it is being traversed so only the
        // elements which were already present
        // in the queue before the start of this
        // loop will be traversed for now
        for (let i = 0; i < sizeofQ; ++i)
        {
  
            // Remove the first word from the queue
            let word = Q[0].split("");
            Q.shift();
  
            // For every character of the word
            for (let pos = 0; pos < wordlength; ++pos)
            {
  
                // Retain the original character
                // at the current position
                let orig_char = word[pos];
  
                // Replace the current character with
                // every possible lowercase alphabet
                for (let c = 'a'.charCodeAt(0); c <= 'z'.charCodeAt(0); ++c)
                {
                    word[pos] = String.fromCharCode(c);
  
                    // If the new word is equal
                    // to the target word
                    if (word.join("") == target)
                        return level + 1;
  
                    // Remove the word from the set
                    // if it is found in it
                    if (!D.has(word.join("")))
                        continue;
                    D.delete(word.join(""));
  
                    // And push the newly generated word
                    // which will be a part of the chain
                    Q.push(word.join(""));
                }
  
                // Restore the original character
                // at the current position
                word[pos] = orig_char;
            }
        }
    }
  
    return 0;
    }
     
    // Driver code
    // make dictionary
    let D = new Set();
    D.add("poon");
    D.add("plee");
    D.add("same");
    D.add("poie");
    D.add("plie");
    D.add("poin");
    D.add("plea");
    let start = "toon";
    let target = "plea";
    document.write("Length of shortest chain is: "
        + shortestChainLen(start, target, D));
 
    // This code is contributed by unknown2108
</script>

C++

// C++ program to find length
// of the shortest chain
// transformation from source
// to target
#include <bits/stdc++.h>
using namespace std;
 
// Returns length of shortest chain
// to reach 'target' from 'start'
// using minimum number of adjacent
// moves.  D is dictionary
int shortestChainLen(
string start, string target,
set<string>& D)
{
   
   if(start == target)
      return 0;
   
  // Map of intermediate words and
  // the list of original words
  map<string, vector<string>> umap;
 
  // Find all the intermediate
  // words for the start word
  for(int i = 0; i < start.size(); i++)
  {
    string str = start.substr(0,i) + "*" +
                        start.substr(i+1);
    umap[str].push_back(start);
  }
 
  // Find all the intermediate words for
  // the words in the given Set
  for(auto it = D.begin(); it != D.end(); it++)
  {
    string word = *it;
    for(int j = 0; j < word.size(); j++)
    {
      string str = word.substr(0,j) + "*" +
                          word.substr(j+1);
      umap[str].push_back(word);
    }
  }
 
  // Perform BFS and push (word, distance)
  queue<pair<string, int>> q;
 
  map<string, int> visited;
 
  q.push(make_pair(start,1));
  visited[start] = 1;
 
  // Traverse until queue is empty
  while(!q.empty())
  {
    pair<string, int> p = q.front();
    q.pop();
 
    string word = p.first;
    int dist = p.second;
 
    // If target word is found
    if(word == target)
    {
      return dist;
    }
 
    // Finding intermediate words for
    // the word in front of queue
    for(int i = 0; i < word.size(); i++)
    {
      string str = word.substr(0,i) + "*" +
                           word.substr(i+1);
 
      vector<string> vect = umap[str];
      for(int j = 0; j < vect.size(); j++)
      {
        // If the word is not visited
        if(visited[vect[j]] == 0)
        {
          visited[vect[j]] = 1;
          q.push(make_pair(vect[j], dist + 1));
        }
      }
    }
 
  }
 
    return 0;
}
 
// Driver code
int main()
{
    // Make dictionary
    set<string> D;
    D.insert("poon");
    D.insert("plee");
    D.insert("same");
    D.insert("poie");
    D.insert("plie");
    D.insert("poin");
    D.insert("plea");
    string start = "toon";
    string target = "plea";
    cout << "Length of shortest chain is: "
         << shortestChainLen(start, target, D);
    return 0;
}

Java

// Java program to find length
// of the shortest chain
// transformation from source
// to target
import java.util.*;
 
class GFG{
  static class pair
  {
    String first;
    int second;
    public pair(String first, int second) 
    {
      this.first = first;
      this.second = second;
    }   
  }
 
  // Returns length of shortest chain
  // to reach 'target' from 'start'
  // using minimum number of adjacent
  // moves.  D is dictionary
  static int shortestChainLen(
    String start, String target,
    HashSet<String> D)
  {
 
    if(start == target)
      return 0;
 
    // Map of intermediate words and
    // the list of original words
    Map<String, Vector<String>> umap = new HashMap<>();
 
    // Find all the intermediate
    // words for the start word
    for(int i = 0; i < start.length(); i++)
    {
      String str = start.substring(0,i) + "*" +
        start.substring(i+1);
      Vector<String> s = umap.get(str);
      if(s==null)
        s = new Vector<String>();
      s.add(start);
      umap.put(str, s);
    }
 
    // Find all the intermediate words for
    // the words in the given Set
    for(String it : D)
    {
      String word = it;
      for(int j = 0; j < word.length(); j++)
      {
        String str = word.substring(0, j) + "*" +
          word.substring(j + 1);
        Vector<String> s = umap.get(str);
        if(s == null)
          s = new Vector<String>();
        s.add(word);
        umap.put(str, s);
      }
    }
 
    // Perform BFS and push (word, distance)
    Queue<pair> q = new LinkedList<>();
 
    Map<String, Integer> visited = new HashMap<String, Integer>();
 
    q.add(new pair(start, 1));
    visited.put(start, 1);
 
    // Traverse until queue is empty
    while(!q.isEmpty())
    {
      pair p = q.peek();
      q.remove();
 
      String word = p.first;
      int dist = p.second;
 
      // If target word is found
      if(word == target)
      {
        return dist;
      }
 
      // Finding intermediate words for
      // the word in front of queue
      for(int i = 0; i < word.length(); i++)
      {
        String str = word.substring(0, i) + "*" +
          word.substring(i + 1);
 
        Vector<String> vect = umap.get(str);
        for(int j = 0; j < vect.size(); j++)
        {
          // If the word is not visited
          if(!visited.containsKey(vect.get(j)) )
          {
            visited.put(vect.get(j), 1);
            q.add(new pair(vect.get(j), dist + 1));
          }
        }
      }
 
    }
 
    return 0;
  }
 
  // Driver code
  public static void main(String[] args)
  {
 
    // Make dictionary
    HashSet<String> D = new HashSet<String>();
    D.add("poon");
    D.add("plee");
    D.add("same");
    D.add("poie");
    D.add("plie");
    D.add("poin");
    D.add("plea");
    String start = "toon";
    String target = "plea";
    System.out.print("Length of shortest chain is: "
                     + shortestChainLen(start, target, D));
  }
}
 
// This code is contributed by 29AjayKumar

Publicación traducida automáticamente

Artículo escrito por GeeksforGeeks-1 y traducido por Barcelona Geeks. The original can be accessed here. Licence: CCBY-SA

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