Problem : Sheldon Cooper and his beverage paradigm

Sheldon Cooper, Leonard Hofstadter and Penny decide to go for drinks at Cheese cake factory. Sheldon proposes to make a game out of this. Sheldon proposes as follows,

- To decide the amount of beverage they plan to consume, say X.
- Then order for a random number of different drinks, say {A, B, C, D, E, F} of quantities {a, b, c, d, e, f} respectively.
- If quantity of any three drinks add up to X then we'll have it else we'll return the order.

E.g. If a + d + f = X then True else False

You are given

- Number of bottles N corresponding to different beverages and hence their sizes
- Next N lines, contain a positive integer corresponding to the size of the beverage
- Last line consists of an integer value, denoted by X above

Input Format:

- First line contains number of bottles ordered denoted by N
- Next N lines, contains a positive integer Ai, the size of the ith bottle
- Last line contains the quantity they intend to consume denoted by X in text above

Output Format:

True, if combination is possible

False, if combination is not possible

True, if combination is possible

False, if combination is not possible

Constraints:

N >= 3

Ai > 0

1 <= i <= N

X > 0

SNo. | Input | Output |
---|---|---|

1 | 6 1 4 45 6 10 8 22 | True |

2 | 4 1 3 12 4 14 | False |

Explanation for sample input and output 1:

The sum of 2nd, 5th and 6th beverage size is equal to 22. So the output will be True.

The sum of 2nd, 5th and 6th beverage size is equal to 22. So the output will be True.

**Explanation for sample input and output 2:**

Since no combination of given beverage sizes sum up to X i.e. 14, the output will be False.

TCS CodeVita 2015 Round1 Question: Sheldon Cooper and his beverage paradigm

C-Language Program (CodeVita/Sheldon-Cooper-and-his-beverage-paradigm.c)

#include <stdio.h>

#define M 200

long flag, get;

void combinationUtil(long arr[],long n,long r,long index,long data[],long i);

void printCombination(long arr[], long n, long r)

{

long data[r];

combinationUtil(arr, n, r, 0, data, 0);

}

void combinationUtil(long arr[], long n, long r, long index, long data[], long i)

{

if (index == r)

{

long sum = 0;

for (long j=0; j<r; j++)

{

sum += data[j];

//printf("%ld $%ld ",data[j],j);

}

if(sum == get)

flag = 1;

//printf("\n%ld\n",sum);

return;

}

if (i >= n)

return;

data[index] = arr[i];

combinationUtil(arr, n, r, index+1, data, i+1);

combinationUtil(arr, n, r, index, data, i+1);

}

int main()

{

long i,N, A[M], X, r = 3;;

flag = 0;

scanf("%ld",&N);

while(i<N)

{

scanf("%ld",&A[i]);

i++;

}

scanf("%ld",&X);

/*printf("%ld ",N);

i=0;

while(i<N)

{

printf("%ld ",A[i]);

i++;

}

printf("%ld\n\n",X);*/

get = X;

printCombination(A, N, r);

if(flag == 1)

printf("True");

else

printf("False");

return 0;

}

Sources:

https://www.programminggeek.in/

https://github.com/