题目描述
Read problem statements in [Bengali], [Mandarin Chinese], [Russian], and [Vietnamese] as well.
Chef has $N$ [6-sided standard dice]. Each die has dimensions $1 \times 1 \times 1$. Since Chef is bored during the quarantine, he decides to stack dice for fun.
First, Chef forms four vertical stacks of dice (not necessarily with the same height; empty stacks are allowed) on his table, which together make up a pile of dice with base area up to $2 \times 2$. Among all such structures, the total visible surface area of Chef's structure must be the smallest possible.
Then, Chef calculates the number of [pips] on the visible faces of all dice in the structure. A face of a die is visible if it does not touch the table or another die.
Now, he is wondering: among all possible arrangements of dice, what is the maximum possible total number of visible pips? Since he is busy cooking, he is asking you to solve this.
------ Input ------
The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
The first and only line of each test case contains a single integer $N$.
------ Output ------
For each test case, print a single line containing one integer ― the maximum possible number of visible pips.
------ Constraints ------
$1 ≤ T ≤ 10^{5}$
$1 ≤ N ≤ 10^{12}$
------ Subtasks ------
Subtask #1 (10 points):
$T ≤ 100$
$N ≤ 4$
Subtask #2 (10 points):
$T ≤ 100$
$N ≤ 8$
Subtask #3 (25 points):
$T ≤ 100$
$N ≤ 10^{4}$
Subtask #4 (55 points): original constraints
----- Sample Input 1 ------
1
1
----- Sample Output 1 ------
20
----- explanation 1 ------
Example case 1: There is only one die. If Chef places it on the table with 1 pip facing down, the visible pips are 2, 3, 4, 5 and 6, and their sum is $20$.
输入格式
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输出格式
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