Problem Statement
N bears are playing a game.
For the purpose of this problem, each bear is just a single point in the plane.
You are given the coordinates of the bears: the
The game they play is played in rounds. There is a single ball. At the beginning of each round one of the bears holds the ball. This bear chooses a direction and throws the ball in that direction. The ball will travel along a straight line. As soon as the ball hits another bear for the first time, that bear will catch the ball and the round will end. It is not allowed to throw the ball in a direction where it won't hit any other bear.
At the beginning of the game, the bears choose two special roles: one bear will be the Startbear and another bear will be the Goalbear. The Startbear has the ball at the beginning of the game. The game ends when the Goalbear gets the ball. Bears always play optimally â they always finish the game in the smallest possible number of rounds.
There are exactly N*(N-1) ways to choose the Startbear and the Goalbear. For each of those ways, determine the smallest possible number of rounds the game may take. Return the sum of those N*(N-1) numbers.
Definition
- Class:
- BearBall
- Method:
- countThrows
- Parameters:
- int[], int[]
- Returns:
- int
- Method signature:
- int countThrows(int[] x, int[] y)
- (be sure your method is public)
Constraints
- N will be between 2 and 1500, inclusive.
- x will contain exactly N elements.
- y will contain exactly N elements.
- Each element in x and in y will be between -20,000 and 20,000, inclusive.
- No two points will coincide.
Examples
{1,4,2}
{1,10,7}
Returns: 6
There are three bears. They stand at (1,1), (4,10), and (2,7). There are six ways to choose the Startbear and the Goalbear. In each of those six cases the game will have a single round, because the Startbear can throw the ball directly at the Goalbear. So, the answer is 6.
{0,0,0,1,1}
{0,1,2,0,1}
Returns: 22
There are five bears. They stand at (0,0), (0,1), (0,2), (1,0), and (1,1). There are 20 ways to choose the two special bears. In 18 of those 20 ways a single throw is enough. In each of the remaining two ways the bears need two rounds of the game. Consider the situation when the Startbear is at (0,0) and the Goalbear is at (0,2). This game cannot be won in a single round: if the Startbear throws a ball in the direction of the Goalbear, the ball will hit the bear at (0,1) and that bear will catch it. There are multiple ways to win that game in two rounds. For example, after the Startbear hits the bear at (0,1), that bear will throw the ball to the Goalbear. Another optimal strategy is to start by throwing the ball from (0,0) to (1,1). This is shown in the figure below; the bear with the ball is painted red.
{5,7,9,11}
{4,3,2,1}
Returns: 20
{10,10,50,50,90,90}
{5,17,5,17,5,17}
Returns: 34
{-100, -90, -80, -70, -85, -90, 0, 20}
{-5, -8, -13, -21, -13, -13, -13, -69}
Returns: 68
{2,3}
{2,3}
Returns: 2
{0,0,1,1,2}
{0,1,0,1,0}
Returns: 22
{0,1}
{2,1}
Returns: 2
{4,5,5}
{1,0,5}
Returns: 6
{11131,7401,12201}
{7796,5185,8545}
Returns: 8
{13058,-12722,4300,16601,10475}
{13059,-12721,4301,16602,10476}
Returns: 40
{20,9,11,12,21,17,25,32,17,9,8,11,29,11,2,26,15,32,5,8,18,16,39,25,38,27,15,1,23,1,2,33,29,8,3,24,8,27,29,20,29,39,6,35,40,5,2,25,35,12,21,39,22,28,1,18,7,36,26,5,11,30,18,35,38,14,36,2,29,3,31,17,28,19,37,36,12,24,20,12,1,37,6,26,11,25,6,14,39,10,11,11,31,0,6,17,1,32,23,14,30,26,5,4,10,29,20,10,24,11,15,8,26,6,25,33,39,16,17,34,40,8,33,0,7,40,20,28,25,11,4,39,34,35,6,11,13,25,5,30,14,30,28,11,25,18,10,26,34,12,6,24,23,36,14,20,24,34,3,33,26,4,31,5,35,8,15,2,33,25,12,39,15,9,15,31,10,14,39,40,15,37,17,25,1,19,7,30,37,40,6,31,20,15,5,38,30,24,2,39,38,30,24,8,34,1,8,34,7,22,26,35,9,30,24,34,15,14,16,4,17,25,32,0,32,17,30,10,16,29,23,11,27,14,14,29,6,8,9,31,31,14,7,21,21,0,4,29,25,12,31,6,4,2,13,23,19,33,6,11,26,1,20,11,40,36,22,2,26,35,22,4,38,19,35,28,29,12,14,26,4,39,40,26,27,0,3,32,17,24,29,19,7,31,18,19,2,7,31,21,38,18,24,1,4,22,16,3,10,31,18,12,38,36,26,9,2,32,10,0,30,26,1,34,9,11,34,12,37,20,34,16,4,21,32,24,26,8,22,7,16,19,8,13,18,0,13,27,7,22,35,9,20,14,28,8,36,15,26,38,2,13,0,6,1,0,11,39,0,13,8,12,0,31,7,0,22,16,37,39,35,8,26,11,2,24,37,34,11,12,6,9,13,40,0,37,6,11,4,15,28,2,17,1,28,28,3,19,24,16,15,10,17,18,8,10,4,0,25,33,35,28,17,16,33,10,27,16,31,5,7,36,37,18,17,31,4,39,0,20,40,32,18,16,38,3,18,8,31,22,24,17,28,14,29,20,12,10,2,20,40,1,15,19,15,21,10,34,17,26,29,38,4,19,30,11,34,30,27,33,34,11,32,34,13,2,21,32,16,21,24,18,0,38,15,4,16,26,30,24,34,25,17,12,14,7,26,25,2,14,12,23,23,21,3,37,2,13,7,37,11,40,1,0,29,3,27,0,37,8,18,10,5,3,35,4,15,36,28,22,8,19,0,24,4,23,3,27,36,36,29,26,13,33,21,28,6,3,27,13,21,31,16,39,3,6,29,1,16,8,2,15,23,35,33,2,24,26,39,38,14,8,38,7,13,39,36,0,17,34,19,29,32,33,4,40,22,7,23,40,6,15,9,17,20,2,30,33,37,22,36,20,24,0,19,37,35,12,17,40,13,25,2,40,9,38,12,9,14,18,25,2,0,40,32,40,33,15,13,1,7,32,1,15,1,2,35,7,5,15,29,20,28,26,39,1,17,0,29,3,22,20,27,6,16,23,23,24,36,20,5,2,6,14,24,34,35,19,33,2,39,6,8,7,13,26,10,40,34,5,17,24,12,28,8,25,3,1,10,19,9,18,8,36,6,33,13,35,35,2,27,6,13,32,12,39,7,24,39,28,37,23,20,18,27,0,33,36,30,4,2,23,5,9,18,23,4,22,5,17,33,14,3,33,40,13,27,7,38,28,29,11,20,21,2,27,16,26,25,18,2,29,18,39,3,7,40,28,19,21,8,14,31,2,24,0,0,5,16,18,13,39,3,39,9,10,36,26,2,22,34,16,21,20,1,1,33,35,5,30,9,9,28,11,37,38,38,14,39,9,15,21,28,25,18,21,22,19,31,32,34,37,28,7,10,19,30,21,32,0,3,3,34,12,9,33,30,23,32,18,40,13,36,38,18,37,12,15,14,5,36,13,34,38,1,31,31,19,28,8,4,5,23,24,13,6,19,9,10,9,12,5,27,32,14,7,35,26,17,40,26,16,18,39,4,39,25,19,13,22,21,33,1,24,5,29,10,12,38,25,12,3,3,39,35,23,13,14,36,30,9,23,20,27,25,0,2,31,1,28,27,33,32,37,13,4,17,26,8,3,34,7,36,26,14,25,22,17,32,38,26,13,12,22,16,33,30,40,12,3,36,32,29,22,38,12,9,37,18,5,7,32,10,9,3,15,29,6,21,18,36,22,12,37,37,32,28,2,7,15,21,28,2,8,24,32,10,29,11,7,7,15,17,9,4,16,38,21,9,25,38,28,26,35,19,30,28,22,29,14,6,4,34,8,40,27,40,30,10,39,1,19,30,19,1,16,18,37,25,12,16,22,13,13,7,8,37,9,23,19,36,16,19,28,10,15,10,23,31,11,4,37,1,29,19,20,28,6,17,28,4,23,21,31,23,25,34,25,39,3,25,15,31,16,15,32,30,35,23,24,3,36,5,38,9,36,38,25,0,34,21,20,0,7,16,5,39,4,26,30,30,9,0,24,31,14,9,18,10,38,2,24,33,3,38,3,8,11,11,23,15,10,18,13,31,27,17,26,38,3,6,13,29,28,21,39,38,7,15,2,3,32,33,40,14,34,15,38,10,10,23,10,30,12,40,20,16,19,35,23,27,40,11,1,37,17,10,5,7,36,28,12,1,26,6,37,15,30,22,8,5,29,20,37,26,11,27,39,23,1,19,0,21,36,36,37,39,9,35,27,5,7,17,2,37,34,24,5,28,39,27,1,30,39,32,39,25,7,7,21,21,17,3,19,32,13,14,16,13,17,20,17,29,16,10,39,31,21,38,22,29,19,33,14,0,32,4,10,5,36,22,34,23,16,10,29,40,20,23,32,10,25,40,4,21,8,24,21,9,13,37,25,32,13,19,39,32,21,7,5,35,13,4,40,35,36,38,31,12,34,1,35,40,17,33,1,24,15,39,29,22,34,9,37,25,20,20,16,28,6,27,30,33,6,26,30,7,6,22,36,32,27,3,14,5,11,30,21,29,31,22,32,4,35,11,35,31,14,29,33,38,34,24,23,36,15,32,4,5,17,17,11,3,19,26,1,4,18,11,8,32,8,1,23,12,27,15,4,27,27,12,33,5,8,36,33,9,29,2,8,14,17,24,21,0,16,19,25,24,21,35,4,20,21,27,25,4,19,18,14,22,14,6,19,27,23,14,28,27,19,12,0,39,34,18,31,4,3,5,16,37,13,12,22,25,9,22,23,1,12,13,9,18,9,3,0,23,40,8,38,29,15,14,24,24,30,20,23,3,24,30,22,12,14,3,33,36,37,0,9,21,18,23,10,5,31,31,30,36,35,18,31,9,40,29,19,29,37,38,27,6,34,24,32,20,20,10,22,30,11,30,1,2,12,17,0,22,26,25,31}
{36,1,40,8,34,8,18,14,13,39,9,26,4,22,6,20,11,3,11,11,10,29,19,23,33,40,29,22,28,0,13,23,36,25,15,7,3,35,12,9,26,37,5,3,37,21,11,7,4,24,28,30,26,19,13,37,12,5,19,31,35,15,36,27,18,22,24,4,23,39,32,33,6,25,33,11,33,4,14,4,28,9,18,12,1,9,30,16,9,2,37,14,1,16,0,5,24,39,34,18,1,3,30,26,16,40,31,27,1,28,1,2,18,37,10,9,26,20,15,39,29,27,28,39,39,13,29,0,19,39,7,24,14,10,34,20,7,40,6,5,32,40,20,33,4,0,3,22,35,35,23,25,29,34,4,13,27,21,38,6,29,5,6,32,22,6,3,28,25,3,11,34,17,18,20,27,20,35,25,17,23,2,21,29,9,39,2,26,16,2,3,8,23,28,12,24,18,2,35,5,31,35,3,1,7,2,30,40,24,25,17,23,31,7,16,10,39,17,10,29,27,15,17,22,18,10,25,30,31,18,9,7,20,38,6,28,14,23,3,0,37,40,8,39,26,8,28,17,25,30,11,24,40,23,29,24,12,0,40,10,24,14,5,2,26,14,21,22,15,32,0,18,25,7,18,10,16,17,29,2,35,16,6,9,22,4,25,24,38,39,34,8,21,39,5,10,18,13,33,32,9,25,40,8,37,18,26,1,35,18,2,21,12,31,27,40,33,32,34,18,17,30,3,9,19,24,29,0,31,12,32,33,32,25,19,17,35,33,34,14,39,6,13,9,38,17,23,12,17,14,20,9,3,5,21,16,19,7,39,10,32,6,31,25,1,27,34,20,2,34,19,34,32,3,40,5,33,2,26,10,0,35,36,4,2,15,14,8,5,40,33,12,35,8,35,6,12,25,24,18,2,19,9,4,4,31,21,17,19,16,19,6,0,8,40,36,13,36,1,4,11,8,6,24,14,32,18,14,14,17,23,3,19,14,34,19,2,21,7,20,14,23,17,0,0,3,18,7,35,30,23,23,14,39,21,11,25,17,3,32,40,38,2,29,0,16,26,12,18,8,15,19,27,15,14,31,27,20,29,17,11,3,26,4,19,31,29,6,22,5,35,16,29,13,38,6,13,23,9,14,6,20,1,39,10,26,0,35,20,31,2,35,3,36,11,37,25,15,7,11,11,5,25,30,32,29,6,19,7,5,33,13,39,8,12,25,14,38,39,28,0,4,12,34,14,16,32,4,2,25,25,33,39,31,20,5,32,18,2,30,27,34,4,7,13,13,5,31,25,36,39,22,13,14,19,8,8,28,28,7,8,20,3,1,11,27,6,9,7,2,33,9,8,16,36,20,20,31,1,22,9,8,38,28,27,15,28,10,10,11,22,35,6,1,11,29,29,3,2,15,8,6,12,9,10,15,6,25,1,23,36,27,25,28,16,3,29,31,36,20,3,36,15,5,18,29,13,20,14,10,2,26,33,21,31,16,3,23,30,33,6,21,10,8,7,27,10,30,27,33,33,24,4,14,22,22,33,14,37,26,2,28,38,11,1,32,21,30,16,3,40,32,5,22,29,8,40,19,8,27,0,19,21,26,2,3,40,40,8,34,33,29,22,35,12,1,36,10,32,29,1,19,34,28,27,10,12,35,29,20,16,22,24,17,30,0,0,35,5,29,34,25,17,21,23,4,38,37,38,27,31,6,4,40,10,25,6,7,13,1,0,38,35,29,12,22,10,36,9,1,8,19,9,21,5,37,21,16,8,9,32,18,23,12,24,19,37,26,1,19,28,37,23,10,40,7,5,39,10,19,11,32,11,29,17,14,6,7,23,16,40,6,13,30,39,30,40,40,5,13,31,21,16,28,31,31,36,13,27,6,7,37,36,36,28,39,8,5,0,29,4,0,29,16,11,39,27,32,0,8,15,37,33,20,12,4,31,5,9,24,17,2,36,9,25,6,21,5,38,29,14,40,7,11,15,6,15,13,31,27,14,40,31,39,8,11,32,34,28,1,21,38,32,38,25,14,4,23,27,39,18,36,22,38,38,23,24,13,40,38,6,20,40,23,37,24,14,21,35,12,30,32,10,20,12,39,26,1,26,0,17,10,13,31,36,31,32,39,34,5,34,5,7,37,35,18,22,7,19,20,36,2,33,17,4,26,30,25,15,26,25,37,23,37,35,26,24,19,37,22,0,4,9,18,24,33,18,36,5,21,19,24,40,17,11,15,14,22,8,15,30,9,25,36,34,21,8,15,4,34,26,35,4,35,28,30,40,24,3,24,20,22,3,39,24,26,33,27,12,13,11,38,24,36,26,3,3,15,0,13,18,16,38,21,9,12,36,15,17,37,10,12,2,1,22,15,25,21,23,17,1,35,39,10,3,39,28,31,4,3,10,18,11,22,39,17,0,26,14,14,28,12,17,11,24,21,0,36,14,33,31,16,36,11,27,39,39,12,14,25,2,38,26,34,32,23,33,15,6,10,31,35,34,36,25,3,26,4,39,21,5,28,15,16,37,28,4,32,16,7,27,1,24,16,38,8,22,37,2,10,11,3,1,26,8,8,23,19,16,30,4,20,13,36,26,20,34,40,18,7,11,29,4,31,35,17,9,23,21,8,13,32,30,5,5,16,11,35,18,20,17,16,21,16,17,38,36,21,38,10,20,19,0,13,10,15,39,4,40,29,32,3,33,28,30,22,0,2,16,28,1,4,36,9,12,5,13,18,34,15,5,33,32,35,4,3,22,16,0,24,10,11,2,18,25,14,33,28,17,20,22,30,39,30,9,17,13,7,30,10,8,26,33,9,40,12,30,15,27,7,7,26,12,5,10,0,31,28,6,9,0,33,12,3,35,14,0,3,7,20,23,2,1,18,20,40,31,14,32,15,5,13,9,21,34,12,22,40,32,24,17,2,0,24,8,30,37,4,6,20,3,13,14,40,5,8,30,34,23,7,32,37,30,16,40,34,27,1,12,18,5,37,24,30,19,18,39,0,37,24,2,40,31,28,38,30,36,2,7,26,17,37,12,30,1,30,7,21,38,14,32,27,26,16,5,23,4,27,36,22,22,18,27,37,38,19,33,19,11,3,1,7,29,28,9,35,21,11,37,34,37,35,31,38,0,1,22,38,26,9,7,23,7,31,24,24,16,19,12,23,22,12,15,0,36,32,27,30,34,35,28,13,22,18,34,26,38,30,28,27,34,26,37,29,16,22,5,26,37,29,33,34,20,20,27,28,25,39,15,29,29,37,34,21,20,2,18,2,5,18,12,9,10,11,9,2,17,0,33,8,17,7,33,37,4,15,2,13,32,37,21,20,13,18,6,24,35,28,36,21,27,15,29,28,6,25,28,31,16,23,23,36,7,20,37,11,39,11,11,10}
Returns: 3087768
{29,27,15,23,29,10,28,17,5,8,8,8,20,26,23,21,11,25,22,24,1,23,8,21,14,17,20,0,15,1,1,3,29,14,29,18,10,12,25,20,6,8,7,9,19,13,28,12,17,8,19,3,0,24,27,21,2,28,29,15,26,13,18,7,1,14,25,10,3,0,10,14,7,28,28,11,6,1,6,11,21,3,11,8,3,5,15,7,22,28,14,0,13,23,13,21,25,22,8,9,26,23,15,7,4,0,18,23,18,5,14,7,24,21,2,10,4,28,29,17,2,26,24,15,7,23,21,21,15,26,29,18,13,8,6,3,5,8,1,3,17,15,11,3,1,23,19,24,24,22,26,20,20,21,11,7,0,13,25,12,22,3,9,6,25,2,11,9,27,6,21,8,20,18,21,11,24,8,13,23,1,10,21,1,19,11,28,11,10,29,4,0,14,8,15,19,2,17,22,19,19,17,24,28,6,26,29,17,5,22,10,6,23,0,22,20,26,7,14,0,22,23,28,1,24,27,27,16,9,6,13,12,16,12,4,17,5,16,14,28,5,12,19,21,6,4,16,19,4,3,27,0,17,17,19,11,17,17,20,10,24,3,27,27,17,16,21,24,7,10,12,13,27,5,13,7,13,25,4,22,24,10,7,5,24,17,4,16,27,22,28,5,25,23,2,23,6,13,14,29,14,13,29,3,16,7,6,17,27,29,28,12,21,28,3,15,26,10,26,9,28,2,2,20,27,8,4,10,24,22,25,16,18,13,27,9,2,13,21,7,17,6,13,28,28,0,7,13,2,7,14,21,24,16,17,18,16,2,10,9,22,3,8,29,14,6,8,17,23,10,16,19,6,7,20,27,12,21,4,8,16,5,20,22,25,22,27,2,12,19,15,21,2,29,23,10,29,19,2,11,0,0,28,3,4,19,9,16,7,2,7,3,10,29,13,19,25,19,0,25,26,26,1,15,14,25,11,28,27,3,14,25,27,21,2,27,28,27,7,12,1,0,0,11,18,4,13,6,13,20,8,17,14,22,27,7,28,11,26,8,24,14,0,26,15,7,3,1,14,0,27,5,10,25,11,9,29,10,16,14,16,23,14,27,9,3,20,13,12,25,16,24,10,5,14,25,7,12,9,18,9,18,21,21,3,11,18,20,2,25,4,21,29,25,15,2,12,12,19,16,24,10,8,13,9,14,5,15,1,27,0,29,18,26,11,18,7,0,17,28,29,23,19,25,25,3,6,1,23,22,28,20,5,27,9,15,13,28,24,25,25,11,18,23,12,16,19,18,28,18,17,13,9,26,1,0,25,26,22,29,20,15,25,29,8,1,18,22,29,1,18,20,12,0,29,1,16,20,16,24,10,4,15,11,12,22,13,26,13,8,0,12,2,3,11,1,10,21,14,4,5,26,0,7,27,13,12,9,2,25,9,6,27,8,13,4,10,15,23,24,8,2,4,11,8,7,21,18,21,9,6,19,21,18,6,23,15,4,6,23,7,12,14,14,16,24,5,18,19,15,3,8,15,0,4,0,28,11,7,9,5,3,28,5,14,20,25,0,8,1,1,5,2,22,9,6,18,4,16,11,0,10,18,15,0,27,20,12,14,24,25,13,10,1,26,16,9,12,2,1,26,9,9,2,21,17,29,10,24,19,3,4,22,16,17,16,8,22,15,26,17,2,23,5,20,17,9,19,14,12,2,22,3,2,3,7,19,20,1,20,16,23,24,21,26,17,8,6,4,20,3,1,19,14,11,6,1,12,5,28,20,27,6,9,23,18,3,12,27,18,1,29,17,13,16,23,19,23,15,11,4,4,1,22,4,20,6,12,2,26,15,6,10,10,26,24,6,4,6,19,26,28,5,5,19,11,29,5,26,16,22,18,6,18,12,20,18,22,23,29,20,15,14,20,16,29,24,23,9,5,19,27,3,24,11,5,10,19,22,25,4,23,28,18,24,15,15,1,2,24,9,4,0,26,4,8,9,22,12,16,5,22,17,4,5,11,17,9,2,26,25,21,11,7,20,5,15,12,29,26}
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Returns: 1124820
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Returns: 2259768
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Returns: 2245522
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{2,2,2,1,1,2,2,1,2,2,1,1,1,2,1,1,1,1,2,2,2,2,1,1,2,2,1,1,2,2,1,1,1,2,2,1,2,1,1,1,2,1,1,1,2,1,2,1,1,1,1,2,1,2,1,2,2,1,1,1,2,2,2,2,1,1,2,1,2,2,1,1,1,2,2,2,1,2,2,2,1,2,1,1,2,2,1,1,1,1,2,2,1,1,2,1,2,2,2,1,2,1,1,2,2,2,1,1,1,1,1,1,2,1,2,1,2,2,1,1,1,2,1,1,1,1,2,2,1,1,1,2,1,1,2,2,2,2,2,1,2,1,2,1,1,2,2,2,2,2,1,1,1,1,1,1,2,2,1,1,2,2,1,1,2,2,2,1,2,2,2,1,1,2,2,2,2,2,2,2,1,2,2,1,1,1,2,1,1,2,1,2,1,2,1,2,2,1,1,2,1,1,2,1,1,2,1,2,2,2,2,2,1,2,1,2,1,2,2,2,2,1,1,2,1,1,2,1,2,2,2,1,1,1,1,2,2,2,1,2,1,2,1,2,2,1,2,1,1,1,1,1,2,1,1,2,1,1,1,2,1,2,1,1,2,2,1,2,1,2,2,1,2,2,1,2,2,1,2,2,2,2,2,2,1,2,1,1,1,1,2,1,1,1,1,1,1,2,2,2,1,2,1,2,1,1,1,2,1,2,2,1,2,2,1,1,1,2,2,1,1,2,1,2,1,2,1,1,2,1,2,1,1,1,1,1,2,2,1,2,2,1,2,2,1,1,2,2,2,1,2,2,1,1,2,1,2,2,2,1,2,2,2,1,2,2,1,2,2,2,1,1,2,1,1,2,1,1,2,1,2,1,1,2,1,1,2,2,1,2,2,2,2,2,1,2,1,1,1,2,2,2,1,2,2,1,2,2,2,2,1,2,1,1,2,2,1,1,2,1,2,2,1,1,1,1,2,2,2,2,2,1,2,1,1,2,1,1,2,1,2,1,2,1,2,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,2,2,2,1,1,1,1,2,1,2,2,1,1,2,1,1,1,1,2,2,2,1,2,1,2,2,1,2,2,1,1,2,2,2,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1,1,2,1,2,2,1,1,1,1,2,2,1,1,2,1,2,1,1,1,2,1,2,1,1,2,1,2,2,2,2,1,2,2,1,1,2,1,2,1,2,1,1,1,1,2,1,2,2,1,2,1,2,1,2,1,1,1,1,2,1,2,2,1,1,1,1,2,2,1,2,2,1,1,2,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,1,2,2,1,2,2,1,1,2,1,2,2,2,1,1,1,1,1,1,2,2,1,2,1,1,2,1,2,2,2,2,2,1,1,2,2,2,1,1,2,2,1,2,2,1,1,2,1,2,2,2,1,2,1,1,2,1,1,1,1,2,2,2,1,2,1,2,2,2,2,2,1,2,2,1,1,1,2,1,2,2,2,2,2,2,2,1,1,2,2,1,2,1,1,2,2,1,2,2,2,1,1,1,1,1,2,2,2,1,1,2,1,2,2,1,1,1,2,2,1,1,1,2,1,2,2,1,1,1,2,1,2,2,1,2,2,2,1,1,2,2,2,1,1,1,2,2,1,1,1,1,2,2,2,1,2,2,2,1,2,1,1,2,2,2,1,1,2,2,1,2,1,1,2,1,2,2,2,1,2,2,2,2,2,1,1,2,2,1,2,1,2,1,2,2,2,2,2,2,2,1,2,1,2,2,1,1,2,2,1,2,1,1,1,1,1,1,1,2,2,1,2,1,1,2,2,2,1,1,1,1,1,1,2,2,2,2,1,2,1,1,1,2,1,2,1,2,2,2,1,1,1,1,2,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,1,1,2,2,1,1,2,2,2,2,1,2,2,2,2,1,1,2,2,2,1,1,2,1,1,1,2,1,1,1,1,1,1,2,2,1,2,1,2,1,2,1,1,2,2,2,1,1,2,2,1,1,2,1,1,1,1,2,2,1,2,2,1,1,2,1,2,1,1,1,2,2,1,2,1,1,1,1,2,1,1,1,2,2,1,1,1,1,2,2,2,2,1,2,1,1,1,2,1,2,2,1,2,1,1,1,1,1,1,2,1,2,1,1,1,1,2,2,2,1,1,1,2,2,2,1,2,2,1,2,2,1,1,2,2,2,2,2,2,2,2,1,2,1,2,1,2,1,1,1,2,2,1,1,1,2,2,1,1,1,2,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,1,1,1,1,2,2,2,1,2,2,1,1,2,1,1,1,1,2,2,2,1,2,2,1,1,1,2,1,2,2,2,1,2,1,1,2,2,1,2,2,1,2,2,2,1,1,2,2,1,1,1,1,2,2,1,2,2,2,2,2,2,2,1,1,2,2,1,1,2,2,2,1,2,2,2,1,2,2,1,1,1,2,1,2,1,2,2,2,1,2,2,1,1,2,2,1,2,2,1,1,2,1,1,2,2,1,1,1,1,1,1,2,1,2,1,1,2,2,2,2,1,1,1,2,1,1,2,2,1,1,1,2,1,1,1,1,2,1,1,2,2,1,2,1,1,1,1,2,1,2,2,2,1,2,1,2,2,1,2,2,1,1,2,1,1,2,1,2,2,1,1,1,2,1,2,2,2,2,1,2,2,1,2,2,1,2,1,1,2,2,2,2,1,1,1,1,1,1,2,1,1,1,1,1,2,1,2,2,2,2,1,2,2,2,1,2,2,1,2,2,1,1,1,2,1,2,2,2,2,2,2,1,1,1,2,1,1,2,2,1,1,1,1,2,2,1,1,1,2,2,1,2,1,1,1,2,2,2,2,2,2,2,1,1,1,2,1,1,1,2,2,2,1,2,2,2,2,2,1,2,2,1,2,2,2,1,1,1,1,2,2,2,1,2,1,2,2,2,1,1,1,2,1,2,2,1,1,2,2,2,2,1,1,2,1,2,1,1,2,2,2,1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,2,2,1,2,1,2,2,2,1,2,2,2,1,1,2,2,1,1,1,1,2,1,1,2,1,2,1,1,1,2,2,1,2,1,2,1,1,2,2,2,2,1,1,2,1,1,1,1,1,2,1,2,1,2,1,2,2,1,2,2,2,2,2,1,1,1,2,2,2,1,1,1,1,1,2,2,2,2,2,1,2,1,2,2,2,2,1,1,1,1,2,1,1,1,2,1,2,2,2,2,2,1,2,1,2,2,1,1,1,2}
Returns: 3369004
{3,1,1,2,3,3,2,1,3,3,3,2,3,3,3,2,3,3,2,3,3,1,2,2,2,2,1,2,2,2,3,1,3,3,2,3,3,1,1,1,3,1,1,2,3,3,1,1,3,3,1,1,2,2,3,1,2,1,3,2,1,1,1,1,2,3,2,1,2,2,3,1,1,3,1,1,3,3,2,3,1,3,1,1,1,2,1,1,2,1,3,1,1,3,1,1,1,1,2,2,3,3,3,2,2,3,3,3,3,2,1,1,1,1,2,1,3,2,2,2,1,3,3,2,1,1,3,1,3,3,1,3,3,3,3,2,3,1,2,3,3,2,1,3,3,2,1,3,2,3,2,3,2,3,2,2,2,1,3,1,2,3,2,3,1,1,3,2,1,1,2,2,3,3,3,2,1,3,3,3,2,3,2,2,2,1,1,2,1,1,1,2,1,1,2,2,2,2,2,3,2,1,1,2,3,2,3,1,1,3,1,2,1,1,3,2,1,1,3,2,2,3,3,2,2,2,1,1,2,3,2,1,1,3,1,1,1,1,2,2,2,1,2,3,1,1,3,3,2,3,3,2,2,3,1,2,1,3,3,1,3,2,3,3,3,3,2,3,2,2,2,1,3,2,1,1,3,1,1,2,2,3,3,1,2,2,1,2,3,1,1,1,3,1,2,3,1,2,2,2,3,3,3,3,1,1,2,1,3,1,3,2,3,1,3,1,1,2,3,3,2,1,1,1,3,2,2,2,2,1,1,2,2,3,1,2,2,3,2,3,2,2,2,2,3,1,2,2,2,2,2,2,2,1,2,3,2,1,1,3,1,2,3,1,2,2,1,2,1,1,2,3,2,2,1,1,1,2,1,2,2,2,2,2,1,3,3,2,3,3,2,3,3,3,3,3,3,1,1,2,1,1,3,1,3,1,3,1,1,3,3,2,2,3,1,3,2,1,1,1,3,2,3,3,1,3,2,2,1,2,3,1,3,2,1,3,2,1,2,1,1,2,3,2,3,3,3,1,1,2,1,1,1,2,1,2,2,3,3,1,3,1,1,3,3,1,2,2,2,1,3,1,3,1,3,2,1,3,3,2,2,2,2,3,3,3,3,2,1,3,3,3,1,2,3,1,2,1,1,1,3,3,3,1,1,2,1,3,2,2,1,2,3,3,3,2,1,3,3,3,3,2,2,2,2,3,1,1,3,1,2,1,1,3,2,1,1,3,3,1,2,3,3,1,2,3,1,2,1,3,3,2,3,2,3,3,2,3,3,3,3,3,2,3,2,3,3,1,1,2,3,3,1,1,2,1,1,2,2,1,2,2,3,1,1,2,2,2,3,2,3,3,1,3,1,3,3,3,2,2,3,1,1,2,2,2,2,1,1,2,3,3,3,2,1,1,3,3,3,1,3,3,2,1,2,1,1,3,3,1,3,3,2,3,3,2,3,1,2,3,1,1,2,3,3,3,3,1,3,1,3,3,1,1,2,3,2,1,3,2,2,1,3,1,1,3,1,2,2,3,1,1,1,3,1,2,1,1,1,3,1,3,3,2,3,1,2,2,2,2,2,1,1,3,3,1,1,3,1,2,3,1,1,1,2,1,3,3,2,2,1,2,1,1,2,3,1,2,1,2,2,1,3,2,3,2,1,2,2,3,2,3,2,2,2,1,1,3,1,3,2,1,3,2,2,2,3,2,2,3,1,3,2,2,1,2,1,3,1,3,3,2,1,1,2,2,2,2,3,3,1,1,3,2,2,2,1,3,1,2,3,2,2,3,2,1,2,3,2,1,2,1,2,2,2,2,2,1,2,2,1,2,3,2,1,3,1,3,2,1,3,1,2,3,1,1,2,1,1,1,1,1,1,2,3,3,3,2,1,2,2,3,3,1,3,3,3,2,2,1,3,2,3,1,2,3,3,3,1,3,2,1,3,2,2,2,1,1,3,3,1,2,3,3,2,3,1,1,1,1,3,2,2,1,3,2,3,1,2,1,1,3,2,1,3,1,3,1,3,1,3,3,2,1,1,2,3,2,3,2,1,3,2,1,2,1,1,3,3,1,1,1,1,2,3,2,2,3,2,1,2,1,1,3,3,2,1,3,3,1,1,3,1,2,3,1,2,3,1,1,2,1,3,2,2,3,2,3,1,2,3,3,3,2,3,2,2,2,1,1,1,3,1,2,1,1,3,1,3,2,2,1,3,3,1,3,2,1,1,1,2,3,2,2,1,2,3,3,1,1,3,3,3,2,1,2,3,3,3,3,2,2,2,2,3,1,3,3,3,3,1,1,3,3,2,1,2,2,2,3,3,1,1,1,3,2,2,1,2,1,3,3,1,3,2,3,2,3,1,3,1,3,1,3,1,1,2,3,3,1,1,2,1,3,2,1,3,1,2,2,1,1,1,2,3,1,1,2,2,2,2,3,1,1,1,1,3,1,3,3,2,1,3,3,2,3,2,1,1,2,3,2,1,1,3,2,2,3,1,3,1,3,1,3,1,2,2,2,2,2,3,3,3,1,3,1,2,1,2,1,1,1,2,3,3,3,3,2,2,2,1,2,1,3,2,1,2,3,3,2,3,1,3,3,3,2,3,1,1,2,1,2,3,3,2,3,3,1,1,1,1,3,3,1,2,2,3,2,3,2,1,3,2,1,1,2,3,1,1,1,2,2,1,2,1,2,2,2,1,1,2,1,2,2,1,1,2,1,2,1,1,3,3,2,1,3,1,3,3,2,2,2,1,2,2,2,3,2,2,3,1,1,2,1,1,3,3,1,3,1,2,1,2,3,2,3,2,3,2,3,2,1,2,3,3,2,3,1,1,1,1,1,3,2,2,3,1,2,1,2,1,3,1,1,3,1,3,1,1,2,3,1,2,2,2,2,3,2,3,3,3,2,2,2,1,3,3,1,3,3,1,2,2,3,2,3,2,2,3,1,1,2,1,3,1,3,1,3,3,3,2,3,2,3,3,1,2,1,2,2,3,1,3,1,2,2,1,2,2,1,2,1,3,1,2,3,3,1,2,3,2,3,3,2,3,2,1,1,2,1,1,3,1,1,1,3,1,2,2,3,1,3,1,2,3,3,1,2,1,3,1,1,1,1,3,2,2,3,2,3,1,3,1,2,2,3,1,2,2,2,1,3,2,3,1,3,3,1,3,3,2,3,1,1,1,2,3,1,3,1,1,1,2,2,1,1,3,3,2,3,3,2,1,1,3,3,2,1,2,1,2,1,1,2,2,1,3,3,2,2,2,2,3,3,2,2,1,2,3,2,3,2,3,1,3,3,1,3,1,3,3,3,3,3,2,2,2,3,2,2,2,1,1,2,2,1,2,2,1,3,1,1,1,2,2,1,2,2,2,3,2,2,1,1,2,2,2,1,2,3}
{48,96,124,464,300,414,249,181,172,238,210,406,38,30,464,284,340,363,52,31,452,68,74,389,260,21,79,135,160,107,203,226,241,249,435,250,288,194,428,147,204,36,153,266,158,353,13,267,436,445,434,261,370,144,497,25,210,38,320,143,233,298,461,495,451,400,264,220,75,38,383,332,270,306,73,108,163,47,434,25,408,397,365,272,450,361,17,185,171,406,267,260,422,427,456,369,449,120,307,252,202,55,314,424,304,221,189,137,91,487,33,40,141,471,142,174,350,153,188,116,389,116,58,292,208,182,422,425,102,357,279,384,20,114,121,110,26,443,125,313,80,380,215,5,483,95,87,281,186,297,239,309,413,398,64,81,236,395,131,219,368,224,57,105,492,448,72,161,429,105,108,320,60,57,484,180,166,371,2,292,248,64,34,381,112,227,340,170,60,3,113,441,405,106,346,227,500,461,10,183,348,151,264,123,236,102,448,478,4,34,394,479,468,232,488,88,430,77,143,431,243,216,458,16,422,109,8,82,118,145,280,464,354,239,98,6,50,32,328,184,228,41,14,179,168,231,84,198,103,412,9,76,22,115,223,126,131,211,316,54,192,364,500,134,302,368,442,266,71,240,146,135,465,182,114,381,268,465,384,430,470,79,460,342,436,167,199,162,141,10,437,493,482,300,384,142,451,217,49,268,343,122,111,439,299,426,447,177,315,488,375,168,247,287,107,273,288,397,286,469,449,212,266,460,217,295,100,24,96,346,489,493,312,87,480,390,399,334,293,365,373,73,115,372,270,312,23,6,27,242,68,185,363,42,285,389,296,195,30,93,356,231,294,472,83,214,186,59,197,2,187,118,177,194,59,421,234,154,453,47,324,42,309,198,244,85,312,416,438,369,53,153,377,168,493,106,284,83,402,402,407,206,260,95,68,37,433,400,237,206,44,418,72,441,335,456,356,423,201,281,232,316,222,248,145,265,308,476,190,7,41,146,409,334,360,226,58,173,128,34,157,256,402,407,298,301,356,103,21,86,366,304,350,66,361,283,204,61,223,241,274,100,76,24,379,107,29,265,278,70,403,404,200,309,373,286,67,305,212,229,297,155,19,457,193,408,146,290,117,498,77,49,211,343,272,327,303,314,487,155,161,40,165,14,1,456,477,470,376,338,222,319,420,367,130,224,115,476,372,431,97,206,111,85,220,323,463,345,218,285,121,247,418,75,196,458,228,83,120,179,387,10,480,442,375,335,19,445,122,419,325,412,418,179,317,228,165,231,170,410,332,7,259,474,345,199,88,55,376,150,451,426,18,20,323,359,253,336,178,420,339,122,366,26,393,352,235,234,148,322,472,345,99,454,28,324,386,391,306,325,333,250,11,404,172,132,20,291,162,136,181,175,296,201,46,282,352,101,444,313,209,8,496,242,326,322,130,330,104,156,71,185,159,258,360,458,430,277,382,140,127,136,386,455,14,39,99,479,191,432,351,271,491,84,469,304,173,118,124,3,46,104,6,269,452,33,347,287,333,287,53,112,444,27,94,12,62,392,258,214,9,421,4,199,213,137,63,482,263,419,329,476,357,54,208,494,403,135,210,156,255,160,268,305,129,248,262,78,277,465,66,269,27,126,396,178,202,200,56,77,31,102,257,350,136,120,93,133,105,349,163,95,33,138,233,239,165,13,163,396,341,436,17,497,48,427,376,313,84,289,64,177,488,342,204,148,349,37,172,447,346,216,294,150,366,209,98,421,405,110,170,74,233,355,1,26,303,56,435,374,229,379,425,159,241,457,271,112,13,385,378,61,41,398,369,28,124,176,420,331,315,222,442,383,283,12,209,463,152,295,256,188,357,404,473,301,97,371,159,88,16,446,438,205,176,62,429,94,390,475,195,435,407,203,28,173,169,460,189,265,82,247,275,378,337,269,342,401,119,264,238,193,499,311,226,197,373,362,450,243,23,61,103,69,481,347,401,12,214,351,65,393,246,355,156,440,254,235,486,409,411,290,215,333,331,52,279,236,67,254,406,23,351,45,128,223,440,443,355,127,433,424,225,337,166,424,348,245,166,319,486,205,353,347,261,140,485,471,423,306,134,364,49,370,180,403,278,381,339,474,35,113,399,273,138,262,211,144,441,459,251,187,201,300,415,42,477,291,467,114,390,139,74,203,132,282,11,270,367,143,469,167,158,391,75,466,322,243,475,354,89,331,52,86,297,19,174,255,22,344,349,446,164,175,462,232,1,220,439,39,119,362,46,191,246,130,417,182,246,308,409,388,275,417,244,144,53,50,278,70,325,485,432,117,253,142,119,87,462,393,11,249,475,374,96,79,9,500,483,483,282,411,218,394,274,327,93,348,97,174,274,129,490,428,310,271,494,240,283,416,328,192,318,415,18,412,92,317,484,495,216,387,123,78,230,85,396,207,43,149,489,364,358,125,380,289,382,320,157,303,453,398,344,413,145,259,455,133,213,190,234,473,455,368,126,261,151,207,134,108,276,459,78,90,496,213,279,353,377,452,416,486,358,90,127,221,492,48,467,431,44,224,5,478,489,22,485,62,301,340,338,315,256,280,480,109,294,467,273,141,443,292,453,154,188,490,311,80,321,405,391,272,361,318,221,359,319,257,15,415,316,354,295,101,358,212,487,147,100,218,47,276,56,139,259,158,449,192,217,149,466,471,275,69,110,429,36,44,5,383,437,284,327,106,324,470,288,91,50,263,323,194,29,230,129,468,370,277,481,113,51,463,169,472,400,302,147,35,91,215,43,191,444,140,229,21,253,230,237,111,15,280,267,307,298,43,183,490,2,491,448,31,359,150,73,432,160,29,341,92,65,167,45,446,254,187,377,321,161,392,148,399,89,57,186,296,434,427,386,202,155,71,414,104,318,4,321,8,125,252,285,478,245,117,375,392,66,414,133,251,116,499,410,152,332,15,394,17,466,251,132,291,447,235,484,195,24,149,98,329,82,387,317,494,473,180,137,311,360,25,263,171,205,196,65,454,454,457,32,121,60,308,36,482,54,336,196,252,498,171,474,385,374,208,479,367,164,152,258,183,382,3,410,379,307,425,413,299,344,225,352,477,200,92,76,81,58,433,240,492,481,225,417,497,380,408,244,184,255,109,339,395,445,139,428,151,238,39,276,131,81,338,426,341,498,190,423,302,310,89,80,496,245,198,499,401,328,334,128,207,440,343,181,40,72,336,242,63,193,123,437,385,330,178,51,18,30,69,219,419,70,326,7,371,176,290,219,164,99,289,169,262,337,32,157,305,154,250,35,55,16,237,495,189,388,227,286,59,372,378,197,461,299,326,310,411,335,94,45,37,491,184,293,439,468,86,459,365,63,162,329,388,363,450,314,175,101,257,362,293,90,330,51,138,281,67,438,397,395,462}
Returns: 3244006
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Returns: 3371052
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Returns: 1124999500
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Returns: 1124999500
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Returns: 1122751000
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Returns: 1080596840
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Returns: 4491006
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Returns: 4491006
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Returns: 638454
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Returns: 800
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Returns: 60552
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Returns: 456256
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Returns: 1721704
{1500,1}
{1,2}
Returns: 2
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Returns: 2248518
{-100, -90, -80, -70, -85, -90, 0, 20 }
{-5, -8, -13, -21, -13, -13, -13, -69 }
Returns: 68
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Returns: 2248514
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Returns: 2248510
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Returns: 1122751000
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Returns: 3366006
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Returns: 4491006
{1, 4, 2 }
{1, 10, 7 }
Returns: 6
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Returns: 2248510
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Returns: 2248512
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Returns: 2248566
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Returns: 2248520
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Returns: 1124999500
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Returns: 2248678
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Returns: 2259682
{0, 1, 5, 2, 3, 4, 7, 10, 8, 9 }
{0, 1, 5, 2, 3, 4, 7, 10, 8, 9 }
Returns: 330
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Returns: 1124999500
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Returns: 2248508
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Returns: 1124999500
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Returns: 3127484
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Returns: 1124999500
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Returns: 1124999500
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Returns: 2249460
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Returns: 1124999500
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Returns: 2248556
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Returns: 4488012
{20000, 19999, -15000, -20000 }
{20000, 19999, -15000, -20000 }
Returns: 20
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Returns: 2248532
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Returns: 2248526
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Returns: 1124999500
{0, 0, 0, 0, 0 }
{1, 2, 3, 4, 5 }
Returns: 40
{5, 7, 9, 11, 13 }
{4, 3, 2, 1, 0 }
Returns: 40
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-11693, -7963, -19990, -16858, -14096, -15686, -13565, -15214, -14104, -20000, -10256, -12552, -14387, -12661, -18182 }
Returns: 2250320
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Returns: 4491006
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Returns: 13588
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Returns: 2248552
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Returns: 2248510
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Returns: 1124999500
{0, 1, 2, 3, 1, 2, 3 }
{0, 1, 2, 3, -1, -2, -3 }
Returns: 54
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Returns: 2248664
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Returns: 2256186
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Returns: 1124999500
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Returns: 2248526
{0, 1, 2, 3, 4, 5 }
{0, 1, 2, 3, 4, 5 }
Returns: 70
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Returns: 2248516
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Returns: 2249658
{0, 0 }
{0, 1 }
Returns: 2
{1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Returns: 418
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Returns: 3052642
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Returns: 2248512
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Returns: 2390436
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Returns: 2897932
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Returns: 2248526
{-20000, 0, 20000 }
{-1, 0, 0 }
Returns: 6
{0, 0, 0, 0, 0, 0 }
{-1, 0, 1, 2, 3, 4 }
Returns: 70
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Returns: 2271382
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Returns: 4434248
{0, 0, 0, 0, 0 }
{0, -1, -2, 1, 2 }
Returns: 40
{1, 2, 3, 4, 5, 6 }
{0, 0, 0, 0, 0, 0 }
Returns: 70
{1, 8, 9, 0, 0, 0, 6, 3, 4 }
{4, 4, 2, 7, 6, 5, 7, 8, 9 }
Returns: 76
{0, 0, 0, 0, 0 }
{0, 1, 2, 3, 4 }
Returns: 40
{0, 0, 1, 2, 3 }
{0, 1, 0, 0, 0 }
Returns: 26
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Returns: 2250420
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822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499 }
Returns: 4491006
{-20000, -19999, -19999, -19998, -19997, -19995, -19992, -19987, -19979, -19966, -19945, -19911, -19856, -19767, -19623, -19390, -19013, -18403, -17416, -15819, -13235, -9054, -2289 }
{-19999, -19999, -19998, -19997, -19995, -19992, -19987, -19979, -19966, -19945, -19911, -19856, -19767, -19623, -19390, -19013, -18403, -17416, -15819, -13235, -9054, -2289, 8657 }
Returns: 546
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 }
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 1000 }
Returns: 129604
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
{0, -1, 1, -2, 2, -3, 3, -4, 4, -5, 5, -6, 6, -7, 7, -8, 8, -9, 9 }
Returns: 2280
{0, 0, 0, 0, 1, 2 }
{0, 1, 2, 4, 1, 2 }
Returns: 38