Problem Statement
You have a n x n board and several checkers placed on it. The i-th checker is in the cell at row x[i], column y[i]. All coordinates are 1-based. There can be more than one checker in the same cell. A move consists of taking one checker and moving it one cell up, down, left or right.
You want to put each checker in one of the four corners of the board. Return the minimum number of moves necessary to achieve the goal.
Definition
- Class:
- TheSimpleGame
- Method:
- count
- Parameters:
- int, int[], int[]
- Returns:
- int
- Method signature:
- int count(int n, int[] x, int[] y)
- (be sure your method is public)
Constraints
- n will be between 1 and 100, inclusive.
- x will contain between 1 and 50 elements, inclusive.
- y will contain the same number of elements as x.
- Each element of x will be between 1 and n, inclusive.
- Each element of y will be between 1 and n, inclusive.
Examples
4
{2}
{3}
Returns: 2
You need two moves to put the only checker to cell (1, 4).
3
{2, 2, 1, 3}
{2, 2, 3, 1}
Returns: 4
For the first two checkers you can choose any of the four corners.
7
{7, 1, 7, 7, 1, 7, 1}
{7, 1, 1, 1, 1, 7, 7}
Returns: 0
All checkers are already in the corners.
3
{3, 2}
{1, 1}
Returns: 1
4
{1, 1, 1}
{1, 1, 3}
Returns: 1
1
{1}
{1}
Returns: 0
8
{1, 1, 5, 1, 7, 3, 5}
{6, 4, 7, 1, 3, 3, 6}
Returns: 21
9
{7}
{1}
Returns: 2
1
{1, 1, 1, 1, 1, 1, 1}
{1, 1, 1, 1, 1, 1, 1}
Returns: 0
1
{1, 1, 1, 1, 1}
{1, 1, 1, 1, 1}
Returns: 0
37
{35}
{26}
Returns: 13
75
{13, 27, 66, 73, 40, 7, 20, 37, 11, 73, 49, 4, 9, 16, 34, 52, 73, 52, 30, 44, 10, 34, 19, 38, 36, 31}
{4, 6, 23, 31, 61, 51, 7, 40, 43, 37, 16, 42, 24, 67, 24, 57, 52, 40, 46, 13, 46, 13, 4, 71, 54, 31}
Returns: 1037
13
{5, 12, 4, 1, 2, 2, 3, 6, 4, 3, 1, 9, 7, 13, 10}
{1, 6, 12, 1, 13, 7, 4, 12, 9, 2, 1, 10, 6, 12, 9}
Returns: 69
10
{5, 1, 10, 5, 5, 8, 1, 3, 5, 6, 1, 5, 5, 3, 7, 9, 6, 10, 2, 3, 1, 5, 1, 9, 3, 4, 5, 7, 3, 1, 9, 1, 7, 9, 1, 9, 3, 6, 9, 5, 9, 3, 10, 3, 9, 1, 1, 8}
{9, 10, 6, 1, 1, 9, 10, 5, 7, 10, 5, 7, 6, 7, 3, 1, 5, 8, 5, 4, 4, 5, 6, 3, 1, 7, 1, 5, 7, 9, 6, 6, 7, 1, 9, 9, 3, 5, 3, 10, 1, 9, 7, 9, 3, 1, 6, 9}
Returns: 188
11
{7, 6, 9, 1, 2, 6, 6, 7, 3, 10, 2, 8, 8, 1, 11, 10, 4, 9, 9, 9, 2, 10, 5, 1, 4}
{4, 1, 11, 6, 1, 3, 6, 9, 4, 1, 5, 1, 10, 9, 9, 3, 10, 4, 8, 8, 6, 11, 6, 3, 5}
Returns: 112
52
{11, 36, 1, 37, 41, 1}
{46, 24, 29, 5, 33, 14}
Returns: 140
27
{19, 3, 21, 26, 13, 5, 9, 25, 13, 21, 24}
{13, 18, 27, 1, 10, 7, 22, 20, 25, 26, 19}
Returns: 123
20
{8, 10, 13, 5, 13, 6, 8, 6, 9, 1, 7, 17, 9, 14, 17, 2, 6, 17, 11, 7, 15, 16, 16, 11, 5, 16, 1, 20, 3, 19, 9, 1, 17}
{1, 14, 6, 5, 8, 13, 17, 9, 1, 1, 1, 5, 1, 20, 1, 11, 14, 11, 3, 1, 13, 6, 1, 5, 8, 1, 5, 5, 8, 8, 1, 3, 18}
Returns: 272
49
{16, 32, 17, 33, 32, 15, 6, 3, 3, 47, 10, 1, 10, 6, 37, 47, 41, 31, 46, 43, 42, 36, 31, 31, 37, 18, 8, 11, 23, 43, 45, 47, 29, 44, 12, 23, 33, 48, 29, 15, 29, 35, 49, 4, 20, 36, 26}
{15, 39, 7, 29, 3, 1, 2, 42, 9, 9, 49, 22, 49, 37, 19, 24, 9, 20, 2, 15, 36, 16, 22, 43, 28, 39, 43, 40, 36, 36, 7, 17, 1, 26, 11, 47, 15, 31, 39, 15, 30, 39, 2, 22, 31, 2, 32}
Returns: 1034
65
{20}
{1}
Returns: 19
98
{34, 3, 43, 53, 1, 71, 78, 57, 77, 4, 36, 75, 10, 5, 35, 21, 83, 85, 94, 12, 18, 1, 1, 48, 96, 5, 1, 69, 25}
{27, 73, 84, 2, 39, 75, 33, 17, 51, 61, 42, 43, 49, 14, 43, 22, 72, 1, 53, 35, 58, 11, 77, 51, 63, 8, 31, 45, 31}
Returns: 1360
59
{59, 24, 46, 4, 55, 1, 36, 11, 13, 13, 51, 59, 23, 19, 11, 27, 24, 28, 12, 12, 37, 28, 25, 58, 56, 52, 39, 13, 24, 4, 14, 57, 47, 6, 46, 49, 3, 44, 36, 18, 35}
{40, 8, 20, 21, 45, 56, 50, 44, 26, 36, 1, 47, 12, 45, 45, 16, 49, 22, 55, 9, 41, 22, 29, 23, 58, 13, 20, 5, 17, 7, 6, 42, 41, 16, 11, 13, 59, 51, 37, 7, 46}
Returns: 1070
67
{45, 25, 43, 6, 55, 40, 18}
{14, 3, 25, 33, 4, 34, 52}
Returns: 253
32
{1, 11, 29, 9, 11, 25, 13, 15, 6, 32, 13, 31, 21, 9, 1, 31, 9, 13, 31, 25, 3, 7, 9, 5, 29, 9, 28, 27, 25, 29, 27, 17, 29, 1, 27, 25, 30, 27, 29, 5, 29, 5, 15, 13, 30, 17, 5}
{7, 12, 27, 25, 11, 17, 6, 4, 2, 1, 9, 3, 14, 13, 13, 3, 28, 10, 16, 13, 13, 11, 1, 23, 21, 11, 13, 1, 3, 19, 20, 11, 15, 5, 19, 13, 27, 12, 32, 21, 9, 1, 1, 1, 3, 31, 21}
Returns: 628
67
{17, 52, 3, 16, 22, 66, 59, 29, 24, 38, 55, 50, 21, 4, 43, 1, 2, 30, 63, 55, 30, 17, 17, 67, 40, 19, 32, 47, 59, 23, 15, 24, 66, 21, 62, 64, 13, 33, 3}
{27, 10, 23, 7, 40, 27, 1, 44, 49, 18, 60, 23, 38, 43, 54, 7, 66, 12, 57, 13, 1, 4, 1, 1, 1, 64, 45, 44, 28, 60, 34, 11, 31, 2, 57, 21, 60, 22, 1}
Returns: 1105
10
{5, 9, 9, 6, 4, 1, 7, 3, 1, 3, 1, 6, 4, 5, 1}
{8, 1, 6, 1, 6, 9, 5, 3, 5, 1, 8, 6, 9, 8, 9}
Returns: 62
78
{73, 1, 1, 76, 51, 76, 67, 33, 27}
{23, 56, 3, 49, 7, 55, 75, 7, 63}
Returns: 233
97
{58, 21, 21, 1, 1, 2, 40, 86, 33, 9, 96}
{56, 27, 83, 43, 93, 19, 97, 51, 25, 1, 94}
Returns: 389
28
{5, 13, 17, 3, 12, 17, 1, 1, 13, 16, 23, 9, 8}
{28, 17, 2, 5, 7, 17, 11, 9, 5, 6, 1, 15, 1}
Returns: 168
42
{39, 2, 22, 25, 16}
{4, 7, 38, 13, 37}
Returns: 86
68
{5, 29, 1, 49, 4, 29, 9, 25, 68, 54, 12, 21, 67, 53, 1, 12, 41, 33, 9, 1, 51, 63, 1, 15, 33, 13, 59, 61, 59, 37, 5, 13, 39, 57, 29}
{25, 26, 61, 19, 23, 51, 1, 53, 15, 53, 62, 28, 5, 2, 40, 14, 41, 30, 63, 48, 53, 41, 68, 53, 55, 12, 39, 57, 61, 3, 9, 56, 11, 24, 63}
Returns: 978
37
{30, 31, 19, 22, 24, 9, 34, 20, 1, 35, 33, 3, 34, 2, 30, 12, 14, 18, 22, 30, 30}
{5, 24, 1, 4, 27, 9, 12, 1, 27, 24, 11, 1, 3, 9, 29, 16, 10, 33, 20, 30, 14}
Returns: 341
43
{3, 22, 24, 36, 19, 4, 1, 22, 31, 35, 17, 21, 7, 34, 14, 41, 41, 11, 37, 5, 37, 39, 33, 34, 2, 40, 3, 13, 35, 25, 1, 37, 18, 20, 36, 27, 30, 41, 2, 3, 39, 11, 9, 17, 4, 26}
{41, 7, 39, 3, 18, 8, 41, 30, 4, 14, 13, 23, 17, 36, 2, 20, 3, 8, 23, 9, 41, 43, 19, 11, 9, 24, 42, 41, 15, 38, 3, 17, 12, 6, 37, 40, 15, 36, 27, 5, 16, 28, 39, 19, 11, 7}
Returns: 825
96
{45, 85, 33, 26, 76, 36, 51, 85, 85, 79, 89, 13, 11, 19, 55, 73, 18, 67, 94, 19, 25, 28, 69, 53, 79, 40, 88, 59, 21, 61, 1, 33, 65, 31, 67, 45, 7, 61, 4, 73, 1, 33, 45, 49, 39, 3, 13, 46, 76, 7}
{1, 19, 67, 38, 33, 55, 46, 1, 85, 13, 14, 91, 45, 21, 13, 53, 46, 16, 96, 40, 14, 63, 13, 45, 45, 49, 61, 7, 15, 73, 37, 4, 29, 93, 9, 37, 13, 49, 79, 60, 37, 49, 30, 81, 25, 28, 55, 35, 65, 94}
Returns: 2428
95
{5, 78, 37, 14, 86, 85, 72, 68, 1, 75, 71, 24, 58, 19, 65, 7, 33, 6, 29, 91, 27, 74, 91, 24, 28, 16, 79, 10, 44, 23, 50, 38, 39, 31, 71, 63, 59, 25, 6, 11, 66, 39, 60, 20, 57, 50, 25, 82, 26, 77}
{88, 16, 30, 53, 80, 79, 59, 35, 46, 63, 36, 42, 81, 75, 92, 24, 1, 11, 77, 76, 39, 59, 8, 70, 78, 95, 56, 74, 22, 94, 18, 31, 21, 39, 69, 50, 91, 39, 81, 4, 32, 47, 39, 11, 45, 92, 46, 45, 36, 31}
Returns: 2357
100
{76, 33, 57, 42, 97, 66, 76, 65, 93, 1, 21, 63, 1, 56, 61, 33, 51, 61, 81, 76, 45, 17, 87, 55, 85, 53, 89, 1, 61, 71, 51, 53, 95, 77, 53, 56, 99, 76, 13, 61, 25, 9, 58, 76, 41, 33, 81, 82, 18, 61}
{61, 45, 41, 99, 1, 25, 56, 1, 63, 81, 69, 17, 32, 51, 81, 13, 1, 45, 61, 1, 56, 97, 83, 83, 28, 10, 13, 5, 33, 86, 68, 86, 89, 81, 87, 57, 89, 34, 17, 82, 86, 17, 51, 67, 95, 76, 76, 71, 85, 16}
Returns: 2461
93
{24, 44, 64, 49, 52, 4, 13, 82, 17, 84, 43, 31, 43, 42, 44, 6, 61, 38, 80, 73, 3, 31, 50, 10, 82, 16, 23, 73, 65, 70, 46, 52, 40, 89, 25, 33, 19, 49, 41, 36, 22, 13, 34, 8, 1, 64, 46, 7, 66, 46}
{59, 91, 70, 85, 93, 22, 13, 22, 58, 79, 49, 54, 2, 32, 1, 21, 8, 47, 58, 57, 16, 7, 88, 93, 58, 34, 38, 26, 49, 7, 4, 85, 76, 1, 66, 53, 34, 77, 19, 25, 34, 17, 7, 37, 58, 10, 32, 46, 74, 10}
Returns: 2346
99
{49, 86, 89, 1, 61, 56, 43, 14, 4, 55, 47, 88, 36, 70, 64, 49, 12, 45, 46, 97, 55, 67, 67, 98, 73, 13, 33, 19, 36, 1, 82, 78, 98, 36, 34, 8, 1, 3, 94, 43, 1, 46, 22, 5, 61, 82, 1, 79, 67, 20}
{31, 55, 99, 68, 64, 95, 42, 28, 34, 13, 52, 37, 82, 46, 26, 93, 3, 52, 35, 92, 9, 87, 76, 88, 70, 91, 15, 52, 75, 37, 89, 73, 6, 70, 53, 42, 46, 97, 67, 10, 64, 85, 19, 73, 52, 45, 40, 3, 64, 43}
Returns: 2433
96
{85, 67, 46, 73, 13, 90, 85, 33, 67, 49, 59, 33, 95, 65, 49, 55, 59, 81, 53, 4, 51, 61, 39, 41, 87, 21, 49, 18, 31, 7, 13, 1, 19, 1, 25, 70, 7, 65, 75, 13, 65, 94, 59, 33, 73, 39, 73, 59, 13, 85}
{37, 67, 10, 92, 49, 85, 89, 43, 93, 82, 31, 7, 71, 49, 31, 85, 73, 60, 88, 53, 48, 81, 1, 94, 33, 57, 73, 49, 49, 67, 14, 22, 88, 62, 17, 96, 49, 67, 13, 76, 46, 33, 67, 25, 85, 19, 33, 43, 61, 9}
Returns: 2433
91
{22, 63, 66, 60, 57, 40, 83, 66, 30, 27, 31, 20, 62, 35, 15, 14, 13, 61, 43, 49, 7, 71, 18, 18, 67, 47, 46, 8, 22, 84, 15, 5, 44, 37, 47, 57, 39, 85, 41, 76, 7, 79, 7, 7, 35, 65, 3, 85, 79, 76}
{78, 85, 80, 6, 14, 50, 71, 68, 29, 14, 90, 50, 26, 39, 30, 41, 34, 36, 27, 66, 16, 21, 7, 1, 87, 88, 35, 26, 53, 59, 57, 8, 59, 81, 69, 11, 8, 1, 58, 65, 31, 50, 41, 76, 79, 68, 29, 43, 40, 40}
Returns: 2271
90
{1, 74, 31, 55, 51, 66, 25, 77, 73, 1, 61, 56, 71, 73, 11, 13, 78, 70, 1, 57, 61, 13, 13, 22, 19, 61, 27, 22, 1, 25, 13, 40, 81, 40, 73, 73, 73, 73, 81, 27, 1, 37, 39, 11, 61, 73, 8, 1, 36, 7}
{55, 33, 61, 34, 16, 9, 88, 31, 55, 87, 87, 61, 34, 67, 67, 25, 70, 55, 85, 59, 49, 6, 4, 1, 57, 33, 81, 13, 61, 56, 64, 55, 31, 28, 31, 36, 1, 16, 59, 55, 3, 5, 41, 28, 46, 49, 38, 59, 65, 79}
Returns: 2128
95
{86, 22, 75, 57, 26, 18, 43, 82, 21, 29, 31, 80, 93, 58, 66, 35, 17, 31, 89, 1, 85, 26, 69, 36, 8, 41, 18, 61, 36, 19, 38, 37, 6, 46, 10, 86, 51, 5, 44, 39, 22, 78, 51, 18, 17, 93, 66, 75, 24, 62}
{51, 91, 35, 1, 4, 86, 56, 48, 89, 23, 46, 80, 33, 20, 41, 10, 48, 12, 81, 20, 45, 36, 78, 33, 93, 62, 3, 31, 13, 1, 6, 85, 78, 69, 11, 61, 49, 4, 75, 71, 74, 63, 23, 31, 51, 81, 51, 56, 9, 15}
Returns: 2300
93
{74, 6, 1, 52, 58, 13, 45, 70, 26, 46, 54, 31, 53, 9, 42, 5, 50, 65, 82, 42, 85, 35, 80, 85, 88, 46, 2, 83, 32, 68, 93, 90, 49, 49, 52, 18, 19, 69, 4, 47, 92, 53, 91, 37, 68, 53, 4, 43, 28, 43}
{89, 29, 88, 64, 40, 85, 14, 58, 34, 41, 63, 38, 71, 79, 83, 63, 90, 77, 38, 80, 60, 73, 63, 85, 22, 50, 67, 91, 7, 19, 70, 19, 16, 52, 7, 85, 21, 47, 52, 38, 52, 52, 25, 2, 34, 55, 1, 55, 40, 73}
Returns: 2395
97
{56, 76, 29, 14, 15, 61, 38, 11, 66, 60, 94, 1, 10, 4, 43, 49, 7, 94, 31, 88, 91, 70, 17, 29, 65, 96, 60, 61, 28, 64, 82, 32, 10, 3, 20, 93, 15, 52, 78, 32, 49, 69, 18, 7, 71, 59, 67, 28, 91, 91}
{66, 25, 82, 8, 75, 44, 94, 70, 51, 58, 77, 54, 55, 35, 30, 36, 18, 14, 17, 50, 1, 1, 73, 29, 20, 67, 63, 91, 30, 17, 3, 26, 15, 62, 7, 60, 91, 36, 44, 97, 58, 12, 91, 11, 42, 26, 1, 1, 34, 38}
Returns: 2229
99
{50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50}
{50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50}
Returns: 4900
100
{50, 50, 51, 51, 51, 50, 50, 50, 51, 50, 51, 50, 50, 50, 51, 50, 51, 51, 50, 50, 50, 50, 50, 50, 51, 51, 50, 50, 50, 51, 50, 51, 51, 50, 51, 51, 50, 51, 50, 50, 51, 50, 51, 50, 51, 51, 51, 50, 50, 50}
{50, 51, 50, 51, 50, 50, 50, 51, 51, 51, 50, 51, 50, 51, 51, 50, 50, 50, 50, 51, 51, 51, 50, 50, 50, 51, 51, 50, 50, 51, 51, 51, 50, 50, 51, 50, 51, 51, 51, 51, 50, 51, 51, 51, 50, 50, 50, 50, 50, 50}
Returns: 4900
100
{51, 51, 51, 51, 50, 51, 50, 50, 50, 51, 51, 51, 50, 50, 50, 50, 51, 50, 50, 51, 50, 51, 50, 50, 50, 51, 50, 50, 51, 51, 51, 50, 50, 51, 51, 50, 51, 50, 51, 50, 50, 50, 50, 51, 50, 50, 51, 51, 50, 50}
{51, 50, 50, 50, 50, 51, 50, 50, 51, 51, 51, 50, 51, 51, 50, 50, 51, 50, 50, 51, 50, 50, 51, 51, 51, 50, 51, 50, 51, 50, 50, 51, 50, 51, 51, 50, 51, 51, 51, 50, 51, 50, 51, 51, 51, 50, 51, 51, 51, 50}
Returns: 4900
7
{7, 1, 7, 7, 1, 7, 1 }
{7, 1, 1, 1, 1, 7, 7 }
Returns: 0
3
{2, 2, 1, 3 }
{2, 2, 3, 1 }
Returns: 4
100
{1, 99, 3, 7, 10 }
{2, 88, 2, 8, 100 }
Returns: 39
3
{1 }
{2 }
Returns: 1
100
{1, 56, 20, 81, 58, 48, 35, 89, 82, 74, 18, 86, 71, 51, 31, 2, 10, 37, 15, 17, 98, 45, 12, 1, 1, 38, 53, 57, 60, 61, 17, 66, 45, 35, 6, 61, 78, 80, 52, 30, 87, 72, 95, 92, 54, 15, 46, 24, 86, 21 }
{1, 84, 99, 99, 61, 39, 27, 30, 84, 3, 38, 10, 68, 6, 1, 91, 28, 28, 59, 69, 83, 72, 49, 21, 74, 47, 46, 94, 74, 11, 60, 39, 73, 61, 57, 36, 16, 23, 43, 80, 52, 99, 75, 35, 17, 66, 49, 7, 70, 50 }
Returns: 2515
100
{1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 13, 14, 15, 56, 7, 8, 99, 67, 56, 45, 32, 22, 33, 44, 55, 66, 77, 55, 44, 22, 88, 88, 66, 88, 99, 6, 55, 55, 55, 44, 2, 22, 78, 56, 45, 36, 46, 89, 99 }
{4, 5, 6, 7, 8, 9, 4, 12, 12, 12, 34, 56, 78, 78, 99, 98, 97, 9, 78, 67, 89, 99, 88, 77, 66, 55, 44, 33, 4, 56, 7, 8, 98, 5, 4, 5, 6, 6, 4, 5, 77, 6, 7, 8, 5, 3, 4, 5, 6, 7 }
Returns: 1686
100
{50 }
{50 }
Returns: 98
10
{5, 7 }
{2, 8 }
Returns: 10
100
{100, 99 }
{100, 99 }
Returns: 2
3
{1 }
{1 }
Returns: 0
4
{4 }
{3 }
Returns: 1
10
{1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
{1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 8, 7, 6, 5, 4, 3, 2, 1 }
Returns: 80
6
{3 }
{3 }
Returns: 4
10
{1, 1, 1, 1, 1 }
{1, 1, 1, 1, 1 }
Returns: 0
10
{9 }
{3 }
Returns: 3