Wednesday, April 6, 2016

Chef and Ballons

Chef and Ballons

Today a plane was hijacked by a maniac. All the passengers of the flight are taken as hostage. Chef is also one of them.

He invited one of the passengers to play a game with him. If he loses the game, he will release all the passengers, otherwise he will kill all of them. A high risk affair it is.

Chef volunteered for this tough task. He was blindfolded by Hijacker. Hijacker brought a big black bag from his pockets. The contents of the bag is not visible. He tells Chef that the bag contains R red, G green and B blue colored balloons.

Hijacker now asked Chef to take out some balloons from the box such that there are at least K balloons of the same color and hand him over. If the taken out balloons does not contain at least K balloons of the same color, then the hijacker will shoot everybody. Chef is very scared and wants to leave this game as soon as possible, so he will draw the minimum number of balloons so as to save the passengers. Can you please help scared Chef to find out the minimum number of balloons he should take out.
Input

The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains a three space-separated integers R, G and B.
The second line contains only one integer K.
Output

For each test case, output a single line containing one integer - the minimum number of balloons Chef need to take out from the bag.
Constraints

    1 ≤ T ≤ 1000
    1 ≤ R, G, B ≤ 109
    1 ≤ K ≤ max{R, G, B}

Subtasks

    Subtask 1 (44 points): 1 ≤ R, G, B ≤ 10
    Subtask 2 (56 points): No additional constraints

Example

Input:
2
3 3 3
1
3 3 3
2

Output:
1
4

Explanation

Example case 2. In the worst-case scenario first three balloons will be of the three different colors and only after fourth balloon Chef will have two balloons of the same color. So, Chef might need to fetch 4 balloons

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    #include<iostream>
    using namespace std;
     
    int main(){
     int testcases;
     cin>>testcases;
     testcases=0;
     while(testcases){
      unsigned long red,green,blue,goal,total;
      cin>>red>>green>>blue;
      cin>>goal;
      total=1;
      if(red<goal)
       total+=red;
      else
       total+=goal-1;
      if(green<goal)
       total+=green;
      else
       total+=goal-1;
      if(blue<goal)
       total+=blue;
      else
       total+=goal-1;
      cout<<total<<endl;
      testcases--;
     }
     return 0;
    } 

Chef And Coloring

Chef And Coloring

After a long time, Chef has finally decided to renovate his house. Chef's house has N rooms in it numbered from 1 to N. Each room is currently painted in one of the red, blue or green colors. Your are given configuration of colors of his house by a string S consisting of N characters. In this string, color red will be denoted by 'R', green by 'G' and blue by 'B'.

Chef does not like current painting configuration that much and would like to repaint the house such that each room has same color.

For painting, Chef has all the 3 color paints available and mixing any 2 color paints will result into 3rd color paint i.e

    R + B = G
    B + G = R
    G + R = B

For example, painting a room having red color before with green color paint will make the color of room blue.

Also, Chef has many buckets of paint of each color. Simply put, you can assume that he will not run out of paint.

Being extraordinary lazy, our little chef does not want to work much and therefore, he has asked you to find the minimum number of rooms he has to repaint (possibly zero) in order to have all the rooms with same color. Can you please help him?
Input

First line of input contains a single integer T denoting the number of test cases. First line of each test case contains an integer N denoting the number of rooms in the chef's house. Next line of each test case contains a string S denoting the current color configuration of rooms.
Output

For each test case, Print the minimum number of rooms need to be painted in order to have all the rooms painted with same color i.e either red, blue or green.
Constraints

    1 ≤ T ≤ 10


    1 ≤ N ≤ 105


    Si = {'R','G','B'}

Scoring

    Subtask 1 (40 points) : 1 ≤ N ≤ 10
    Subtask 2 (60 points) : original constraints

Example

Input

3
3
RGR
3
RRR
3
RGB

Output

1
0
2

Explanation:

    Test 1: Chef prefers to paint room 2 with blue color such that the resulting color will be red and all the rooms have same color i.e red.
    Test 2: Given configuration has all the rooms painted with red color and therefore, chef does not need to do painting work at all.
    Test 3: One possible way of renovation is to paint room 1 with green color, room 2 with red color such that all rooms have same color i.e blue.


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#include<iostream>
using namespace std;

int main ()
{
 int testcases;
 cin>>testcases;
 char color;
 while(testcases) {
  int number_of_houses;
  cin>>number_of_houses;
  int red=0,green=0,blue=0,max=0;
  for(int i=0;i<number_of_houses;i++){
   cin>>color;
   if(color =='R')
    red++;
   else if(color=='B')
    blue++;
   else
    green++;
  }
  if(red>blue){
   if(red>green)
    max = red;
   else
    max = green;
  } else {
   if(blue>green)
    max = blue;
   else
    max = green;
  }
  cout<<(number_of_houses-max)<<endl;
  testcases--;
 }
 return 0;
}