String Reduction


Problem Statement :


Given a string consisting of the letters a, b and c, we can perform the following operation:

Take any two adjacent distinct characters and replace them with the third character.
Find the shortest string obtainable through applying this operation repeatedly.

For example, given the string aba we can reduce it to a 1 character string by replacing ab with c and ca with b: aba -> ca -> b.

Function Description

Complete the stringReduction function in the editor below. It must return an integer that denotes the length of the shortest string obtainable.

stringReduction has the following parameter:
- s: a string

Input Format

The first line contains the number of test cases t.

Each of the next t lines contains a string s to process.

Constraints

1 <= t <= 100
1 <= |s| <= 100

Output Format

For each test case, print the length of the resultant minimal string on a new line.



Solution :



title-img


                            Solution in C :

In C++ :




#include<iostream>
#include<cmath>
#include<algorithm>
#include<vector>
#include<string>
#include<list>
#include<deque>
#include<map>
#include<set>
#include<queue>
#include<stack>
#include<utility>
using namespace std;

int main() {
	string s;
	int T=0, res=0;
	int tab[3];

	cin >> T;

	for (int t = 0; t < T; t++) {
		s.clear();
		tab[0] = 0;
		tab[1] = 0;
		tab[2] = 0;
		res = 0;

		cin >> s;
		for (unsigned int i = 0; i < s.size(); i++) {
			if (s[i] == 'a') tab[0]++;
			else if(s[i] == 'b') tab[1]++;
			else if(s[i] == 'c') tab[2]++;
			else cerr << "dupa!" << endl;
		}

		sort(tab, tab+3);

		while (tab[1] > 0) {
			tab[2]--;
			tab[1]--;
			tab[0]++;
			sort(tab, tab+3);
		}

		cout << tab[2] << endl;
	}


	return 0;
}








In Java :





/*
 * Anand Oza
 * October 29, 2011
 */

import java.io.IOException;
import java.io.InputStreamReader;
import java.io.StreamTokenizer;

public class Solution {
	public static void main(String[] args) throws IOException {
		StreamTokenizer in = new StreamTokenizer(new InputStreamReader(
                     System.in));
		in.nextToken();
		int T = (int) in.nval;

		int ans;

		for (int test = 0; test < T; test++) {
			in.nextToken();
			char[] c = in.sval.toCharArray();
			int[] n = new int[3];
			for (int i = 0; i < c.length; i++)
				n[c[i] - 'a']++;
			int x = (n[0] + n[1]) * (n[1] + n[2]) * (n[2] + n[0]);
			if (x == 0)
				ans = c.length;
			else if ((n[0]+n[1])%2==0 && (n[1]+n[2])%2==0 && (n[2]+n[0])%2==0)
				ans = 2;
			else
				ans = 1;

			System.out.println(ans);
		}
	}
}








In C :





#include <stdio.h>
#include <string.h>

int min( int a, int b ) { return a < b ? a : b; }

int T, n;
char s[ 105 ];

int a[ 105 ][ 105 ];
int b[ 105 ][ 105 ];
int c[ 105 ][ 105 ];
int f[ 105 ][ 105 ];

int len, i, l, r, m;

int main()
{
  scanf( "%d", &T );
  
  while( T-- ) {
    scanf( "%s", s );
    n = strlen( s );

    for( i = 0; i < n; ++i ) {
      if( s[i] == 'a' ) a[i][i] = 1; else a[i][i] = 0;
      if( s[i] == 'b' ) b[i][i] = 1; else b[i][i] = 0;
      if( s[i] == 'c' ) c[i][i] = 1; else c[i][i] = 0;
      f[i][i] = 1;
    }
    
    for( len = 2; len <= n; ++len ) {
      for( l = 0; l+len <= n; ++l ) {
        r = l + len - 1;
        
        f[l][r] = f[l][r-1]+1;
        a[l][r] = b[l][r] = c[l][r] = 0;
        
        for( m = l; m < r; ++m ) {
          c[l][r] |= ( a[l][m] && b[m+1][r] || b[l][m] && a[m+1][r] );
          b[l][r] |= ( a[l][m] && c[m+1][r] || c[l][m] && a[m+1][r] );
          a[l][r] |= ( c[l][m] && b[m+1][r] || b[l][m] && c[m+1][r] );
          f[l][r] |= min( f[l][r], f[l][m] + f[m+1][r] );
        }

        
        if( a[l][r] || b[l][r] || c[l][r] ) f[l][r] = 1;
      }
    }
    
    printf( "%d\n", f[0][n-1] );
  }  

  return 0;
}








In Python3 :






__author__ = 'jonghewk'


def reductions(string):
    d = [0,0,0]
    for letter in string:
        if letter == 'a':
            d[0]+=1
        elif letter == 'b':
            d[1]+=1
        else:
            d[2]+=1

    while True:
        count =0
        for i in d:
            if i == 0:
                count+=1
        if count>=2:
            break

        d.sort(reverse=True)
        d[0]+=-1
        d[1]+=-1
        d[2]+=1

    sum = 0
    for i in d:
        sum+=i
    print(sum)


T = int(input())
cases = []
for i in range(T):
    cases.append(input().strip())

for w in cases:
    reductions(w)
                        








View More Similar Problems

Tree: Inorder Traversal

In this challenge, you are required to implement inorder traversal of a tree. Complete the inorder function in your editor below, which has 1 parameter: a pointer to the root of a binary tree. It must print the values in the tree's inorder traversal as a single line of space-separated values. Input Format Our hidden tester code passes the root node of a binary tree to your $inOrder* func

View Solution →

Tree: Height of a Binary Tree

The height of a binary tree is the number of edges between the tree's root and its furthest leaf. For example, the following binary tree is of height : image Function Description Complete the getHeight or height function in the editor. It must return the height of a binary tree as an integer. getHeight or height has the following parameter(s): root: a reference to the root of a binary

View Solution →

Tree : Top View

Given a pointer to the root of a binary tree, print the top view of the binary tree. The tree as seen from the top the nodes, is called the top view of the tree. For example : 1 \ 2 \ 5 / \ 3 6 \ 4 Top View : 1 -> 2 -> 5 -> 6 Complete the function topView and print the resulting values on a single line separated by space.

View Solution →

Tree: Level Order Traversal

Given a pointer to the root of a binary tree, you need to print the level order traversal of this tree. In level-order traversal, nodes are visited level by level from left to right. Complete the function levelOrder and print the values in a single line separated by a space. For example: 1 \ 2 \ 5 / \ 3 6 \ 4 F

View Solution →

Binary Search Tree : Insertion

You are given a pointer to the root of a binary search tree and values to be inserted into the tree. Insert the values into their appropriate position in the binary search tree and return the root of the updated binary tree. You just have to complete the function. Input Format You are given a function, Node * insert (Node * root ,int data) { } Constraints No. of nodes in the tree <

View Solution →

Tree: Huffman Decoding

Huffman coding assigns variable length codewords to fixed length input characters based on their frequencies. More frequent characters are assigned shorter codewords and less frequent characters are assigned longer codewords. All edges along the path to a character contain a code digit. If they are on the left side of the tree, they will be a 0 (zero). If on the right, they'll be a 1 (one). Only t

View Solution →