Welcome to FCDS contest. You are given a string $$$s$$$. Your task is to print $$$FCDS$$$ regardless of the input.

One day, $$$Baby$$$ $$$Baraa$$$ was in $$$Saudi$$$ $$$Arabia$$$. He went to his favourite restaurant $$$ALBAIK$$$.

$$$ALBAIK$$$ is a restaurant that sells $$$n$$$ chickens; the size of the $$$i$$$-th chicken is $$$a_i$$$.

Actually, $$$Baby$$$ $$$Baraa$$$ was not hungry, so he decided to play with these chickens.

For each chicken $$$i$$$, $$$Baby$$$ $$$Baraa$$$ will count how many chickens after this chicken, according to their order, have a smaller size than the $$$i$$$-th chicken.

More formally, for each $$$(1 ≤ i ≤ n)$$$, he will count how many $$$j$$$ such that $$$(j \gt i)$$$ and $$$a_i \gt a_j$$$.

As $$$Baby$$$ $$$Baraa$$$ became hungry, now he wants you to play this game.

$$$Mohamed$$$ and $$$Kero$$$ are playing a game during their spare time.

they are given an array $$$A$$$ of length $$$N$$$ and an integer $$$K$$$.

in the game, $$$Mohamed$$$ will play first then $$$Kero$$$.

$$$Mohamed$$$ will choose any index $$$i$$$ $$$(1 \leq i \leq N)$$$, and add to his score $$$(a_i \% K)$$$, and according to these steps each one of them tries to maximize his score.

Help us to find if $$$Mohamed$$$ will win the game or not.

Note : each $$$a_i$$$ is used once.

Fady was walking alone and his friend Omar asked for his help to solve a math problem.

He gave him two integers $$$A$$$ and $$$B$$$. He asked him to determine the number of pairs of integers $$$(a,b)$$$ such that $$$(1 \le a \le A)$$$ and $$$(1 \le b \le B)$$$, and the following equation is valid: $$$a \cdot b + a = a \cdot 10^{k}$$$, where $$$k$$$ is the number of digits of $$$b$$$ in decimal notation.

Both $$$a$$$ and $$$b$$$ must be written without leading zeroes.

This problem is about the function $$$\textbf{f(x)=1/x}$$$. Given $$$l$$$ and $$$r (-10^{18} \le l \le r \le 10^{18})$$$. For each $$$\textbf{non-zero integer}$$$ $$$x_i (l \le x_i \le r)(x \neq 0)$$$,consider the triangle formed by:

1) The $$$X$$$-Axis

2) The $$$Y$$$-Axis

3) The tangent line to the curve $$$f(x) = 1/x$$$ at the point $$$(x_i , f(x_i))$$$

Find the sum of the areas of all such triangles.

After $$$Baby Baraa$$$ has qualified to DAR, he knew that some people made TEENS CHALLENGE marathon for Ramadan. As he is a $$$master$$$ on codeforces, he ordered them to be a tester and problemsetter.

$$$Baby Baraa$$$ forgot that he has a hashing sheet that must be finished tomorrow, but there is no time to make a problem, so he made a nice small problem for you.

Given a string $$$s$$$ and its size $$$n$$$. Your task is to sort this string according to Franco Teens Language.

As $$$Baby Baraa$$$ was busy solving the hashing sheet, solve this problem for him.

I've run out of stories, so here is the problem directly. You are given an integer $$$n$$$ and $$$n$$$ strings $$$$$$s_1, s_2, \ldots, s_n.$$$$$$ You may reorder the strings in any way and concatenate them into a single string. Your task is to determine an order of the strings such that the resulting concatenated string is lexicographically smallest.

A string $$$x$$$ is lexicographically smaller than a string $$$y$$$ if, at the first position where they differ, the character in $$$x$$$ comes earlier in the alphabet than the character in $$$y$$$. If one string is a prefix of the other, the shorter string is considered smaller.

Zaglol has a fight against a row of $$$n$$$ members of the British Occupation; the $$$i$$$-th person has power $$$a_i$$$. Zaglol has a magic sword with power $$$x$$$.

Zaglol can kill a person only if the sword's current power is at least that person's power. However, each time he kills a person with power $$$a_i$$$, the sword's power decreases by $$$a_i$$$.

For each query (a given sword power $$$x$$$) determine the maximum number of members of the British Occupation Zaglol can kill.

Each query is independent (Zaglol starts fresh for every query).

You have $$$n$$$ boxes. You are given a binary string $$$boxes$$$ of length $$$n$$$, where $$$boxes_i$$$ is '$$$0$$$' if the $$$i_{th}$$$ box is empty, and '$$$1$$$' if it contains one ball.

In one operation, you can move one ball from a box to an adjacent box. $$$Box_i$$$ is adjacent to $$$box_j$$$ if $$$abs(i - j) = 1$$$.

Note that after doing so, there may be more than one ball in some boxes.

Print an array $$$answer$$$ of size $$$n$$$, where $$$answer_i$$$ is the minimum number of operations needed to move all the balls to the $$$i_{th}$$$ box.

Each $$$answer_i$$$ is calculated considering the initial state of the boxes.

Wahban is known for his admiration for bracket sequences, especially regular bracket sequences $$$\dagger$$$ One day, while playing ping-pong with his friend, Zaghloul, he found a weird piece of paper with the title "REVERSE" and below it a sequence of brackets, and after an intensive moment of thinking, his friend, Zaghloul, asked him if he could obtain a Reversed regular bracket sequence $$$\ast$$$ from the given sequence, Wahban took the problem personally and decided not only to solve the problem, but to print the maximum reversed regular brackets subsequence$$$\top$$$ size, help Wahabn solve the problem or report it's impossible.

$$$\dagger$$$A regular bracket sequence is a bracket sequence that can be transformed into a correct arithmetic expression by inserting the characters 1 and + between the original characters of the sequence, for example: () and ()(()) are valid, while ()) and )( are invalid

$$$\ast$$$ A sequence is called reverse bracket sequence if and only if when we reverse the whole string, it gives us Regular bracket sequence, )( is valid, while () and ()() are invalid

$$$\top$$$ Subsequence is bunch of indices that can be obtained from deleting zero or more indices from the start, end or even middle of any sequence, for example: given this sequence 1,2,3,4,5 one valid subsequence is 1,3,5. }