The Untouched Die - Repovive Starter Round 8 | Repovive

23A. The Untouched Die

500 pts1s256 MB

There are $n$ standard dice on a table. Each die has faces numbered from $1$ to $6$ , and the numbers on opposite faces sum to $7$ .

Initially, the sum of the numbers on the top faces is $a$ .

You leave exactly one die untouched and turn every other die upside down, exchanging its top and bottom faces. The sum of the numbers on the top faces becomes $b$ .

Find the number on the top face of the untouched die.

Constraints

$1 \le n \le 100$
$n \le a,b \le 6n$
The input is guaranteed to describe a possible situation.

Input

n \quad a \quad b

The input consists of three integers $n$ , $a$ , and $b$ : the number of dice, the initial sum of their top faces, and the sum after turning all but one die upside down.

Output

x

Print the number $x$ on the top face of the untouched die.

Samples

Input

3 11 15

Explanation

The top faces can initially be $(2,3,6)$ . Turning the first two dice upside down changes them to $(5,4,6)$ . The sums are $11$ and $15$ , and the untouched die shows $6$ .

Output

Input

1 4 4

Explanation

There is only one die, so it remains untouched. Its top face shows $4$ both before and after the operation.

Output

Input

4 17 8

Explanation

The top faces can initially be $(5,5,5,2)$ . Turning the first three dice upside down changes them to $(2,2,2,2)$ . The sums are $17$ and $8$ , and the untouched die shows $2$ .

Output

There are $n$ standard dice on a table. Each die has faces numbered from $1$ to $6$ , and the numbers on opposite faces sum to $7$ .

Initially, the sum of the numbers on the top faces is $a$ .

You leave exactly one die untouched and turn every other die upside down, exchanging its top and bottom faces. The sum of the numbers on the top faces becomes $b$ .

Find the number on the top face of the untouched die.

$1 \le n \le 100$
$n \le a,b \le 6n$
The input is guaranteed to describe a possible situation.

n \quad a \quad b

The input consists of three integers $n$ , $a$ , and $b$ : the number of dice, the initial sum of their top faces, and the sum after turning all but one die upside down.

x

Print the number $x$ on the top face of the untouched die.

The top faces can initially be $(2,3,6)$ . Turning the first two dice upside down changes them to $(5,4,6)$ . The sums are $11$ and $15$ , and the untouched die shows $6$ .

There is only one die, so it remains untouched. Its top face shows $4$ both before and after the operation.

The top faces can initially be $(5,5,5,2)$ . Turning the first three dice upside down changes them to $(2,2,2,2)$ . The sums are $17$ and $8$ , and the untouched die shows $2$ .

My submissions

Announcements

My submissions

Announcements

My submissions

Announcements

My submissions

Announcements

23A. The Untouched Die

Constraints

Input

Output

Samples

23A. The Untouched Die

Constraints

Input

Output

Samples