TopCoder Statistics - Problem Statement

Problem Statement

Note: This problem has a nonstandard time limit: 4 seconds.

We have n points in the plane. The points are numbered 0 through n-1. You are given the coordinates of these points in the int[]s x and y. More precisely, for each valid i, point i has coordinates (x[i], y[i]). Multiple points may share the same coordinates.

Each point has one of k distinct colors. The colors are numbered 0 through k-1. You are given the int k. You are also given the int[] c, where c[i] is the color of point i. It is guaranteed that each of the k colors appears in c at least once.

We want to find a rectangle with the following properties:

The sides of the rectangle must be parallel to the coordinate axes.
The rectangle must contain (inside or on its boundary) at least one point of each of the k colors.
The area of the rectangle must be as small as possible.

Note that the rectangle is allowed to be degenerate: one or both of its sides may have length equal to zero.
Compute and return the smallest possible area of such a rectangle.

Definition

Class:: ColorfulEnclosure
Method:: minArea
Parameters:: int, int[], int[], int[]
Returns:: long
Method signature:: long minArea(int k, int[] x, int[] y, int[] c)
(be sure your method is public)

Constraints

n will be between 1 and 1,500, inclusive.
k will be between 1 and n, inclusive.
x, y and c will contain exactly n elements.
Each element in x and y will be between -1,000,000,000 and 1,000,000,000, inclusive.
Each element in c will be between 0 and k-1, inclusive.
c will contain all k colors.

Examples

2

{0,1,2,3}

{0,2,1,3}

{0,1,1,0}

Returns: 2

There are four points: the points at (0,0) and (3,3) have color 0 and the points at (1,2) and (2,1) have color 1. There are multiple optimal solutions. One of them is to choose the rectangle with two opposite corners at (1,2) and (3,3).
3

{3,2,1}

{1,1,1}

{0,1,2}

Returns: 0

This is an example of a test case where the optimal rectangle is degenerate. For example, one optimal solution is to choose the rectangle with opposite corners at (-4,1) and (7,1).
4

{-1000000,-1000000,1000000,1000000}

{1000000,1000000,-1000000,-1000000}

{0,1,2,3}

Returns: 4000000000000

Several points can share the same coordinates.
3

{0,9,8,2,0,9,4,2}

{7,0,9,3,9,3,2,2}

{0,1,0,2,1,2,2,0}

Returns: 9
5

{37,80,52,30,33,89,62,84,80,70,15,13,34,28,14,70,99,77,91,74}

{29,88,45,67,50,78,71,17,32,22,53,46,92,37,77,42,78,70,15,35}

{2,1,0,1,4,3,3,1,4,1,2,0,4,2,4,0,1,3,1,2}

Returns: 480
1

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Returns: 0
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Returns: 51959246743
3

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Returns: 35249965859748
4

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Returns: 362355351880450
5

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Returns: 4478733415679688
6

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Returns: 1961385285363184
7

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Returns: 7096227439134560
8

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Returns: 12258952062948912
9

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Returns: 12917248731052820
10

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Returns: 30254511818350955
19

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Returns: 61228147752930240
28

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Returns: 523780129344539458
37

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Returns: 834010552300728243
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Returns: 495767829969754362
55

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Returns: 916708513520777336
64

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Returns: 1531162968175137125
73

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Returns: 2406713466491388210
82

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Returns: 1876680125612847720
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Returns: 2440611305768541912
100

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Returns: 1330802116413619128
490

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Returns: 3925920749446329634
336

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Returns: 3728377064305592979
607

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Returns: 3907373572759093370
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Returns: 3414876027834460535
388

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Returns: 3816930824613437088
302

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Returns: 3668028446679365002
452

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Returns: 3808361147867985984
111

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Returns: 2114283109741506756
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Returns: 3724528592152514215
1500

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Returns: 3981549767023770096
77

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Returns: 0
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Returns: 0
100

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Returns: 185259149178339258
10

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Returns: 2123652326353776
187

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Returns: 195675596226
50

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Returns: 190441651968
148

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Returns: 197579680800
114

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Returns: 199270968800
4

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Returns: 11999877366
8

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Returns: 11999961920
4

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Returns: 15999972832
10

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Returns: 17142859905
2

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Returns: 81948758947
3

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Returns: 24423990635844
5

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Returns: 514930227666390
10

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Returns: 8011136489682445
15

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Returns: 11809923346189048
30

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Returns: 92952430674619120
100

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Returns: 598967421873692731
300

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Returns: 2028499721096915736
750

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Returns: 3584674032612303840
500

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Returns: 3119728002371957736
145

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Returns: 1635017798204985696
105

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Returns: 1240490194998570762
6

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Returns: 251158060875378
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Returns: 633127701289896783
53

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Returns: 501616324658828610
8

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Returns: 0
143

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Returns: 1416175142108127856
16

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Returns: 32043580117183816
16

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Returns: 31775297470646400
38

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Returns: 179566491103688927
20

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Returns: 51992837412565005
19

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Returns: 31519119509658168
16

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Returns: 32041621594318892
34

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Returns: 122252342345667344
30

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Returns: 116550573463511096
10

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Returns: 8264812899053824
7

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{5,4,1,0,4,5,0,6,4,6,4,2,6,4,2,5,4,4,5,0,1,1,0,4,6,6,4,5,3,1,5,6,4,6,1,5,5,5,2,3,3,3,6,5,1,0,1,0,0,4,3,6,3,6,5,1,3,2,6,5,5,5,6,4,4,1,4,6,2,0,1,4,2,1,3,6,3,4,5,3,6,6,5,6,3,6,5,5,5,4,5,4,6,2,5,6,3,6,6,0,3,5,5,5,3,5,4,5,6,5,5,1,6,3,4,4,5,0,1,6,0,1,1,6,6,4,2,1,2,5,3,4,6,3,6,3,1,4,4,5,5,1,2,4,6,6,6,6,6,2,0,5,4,4,4,2,1,2,5,6,5,1,3,6,6,6,5,5,2,4,3,5,6,1,5,3,4,3,1,3,6,4,5,6,4,6,1,2,2,4,5,1,1,6,6,5,3,5,6,2,2,6,2,2,1,4,3,0,3,5,6,6,4,2,6,5,4,6,6,6,4,6,6,4,0,2,1,0,6,1,2,4,3,2,0,0,2,6,5,4,5,4,1,6,0,4,3,3,6,3,2,1,2,5,2,2,4,2,2,3,6,5,6,6,5,2,4,0,0,0,4,2,4,2,6,5,2,4,2,1,6,1,6,4,6,1,6,2,6,6,6,6,3,3,2,0,6,3,6,1,6,3,2,2,4,6,5,3,4,6,3,2,2,0,1,2,3,4,6,4,6,2,6,1,0,4,6,4,5,6,3,1,0,1,3,1,2,6,4,4,3,1,6,3,6,6,3,4,6,2,6,1,6,1,6,0,4,3,6,1,6,6,2,2,3,3,6,6,1,3,5,6,4,3,0,5,5,4,2,6,5,4,0,1,0,3,5,5,3,2,6,6,2,4,0,1,2,2,1,3,3,5,0,1,6,5,2,5,2,3,6,3,1,1,0,0,6,2,6,6,6,5,5,3,1,5,5,6,6,6,0,3,0,0,4,6,6,2,5,3,5,2,6,0,6,4,3,3,4,4,1,0,2,4,2,4,5,4,1,2,3,3,6,4,0,5,6,3,1,2,6,0,0,4,1,3,4,2,4,3,5,4,6,2,2,6,2,3,6,3,0,4,2,4,0,5,0,6,6,1,6,1,0,2,5,5,1,4,5,4,5,2,6,5,3,6,4,5,6,6,6,5,4,6,2,0,6,0,0,6,3,2,1,5,0,6,4,1,6,6,4,6,4,5,0,2,1,0,6,6,0,4,6,2,3,3,6,5,5,2,6,6,2,1,6,5,6,6,2,6,6,6,1,2,6,2,6,6,5,6,6,1,1,0,1,2,3,6,2,6,5,4,4,6,5,6,6,1,4,6,6,1,6,3,0,0,6,6,3,1,0,2,3,5,2,4,3,2,0,6,1,3,3,2,5,0,3,5,5,5,1,5,3,5,6,4,6,6,1,6,0,6,4,6,5,6,6,1,3,3,6,2,4,6,2,6,5,4,4,1,2,2,6,2,5,1,0,4,6,2,1,6,0,1,3,3,4,6,2,6,1,2,3,4,6,0,5,5,2,1,4,3,0,5,1,3,1,6,6,4,6,6,6,6,0,6,0,0,5,0,3,2,1,2,2,6,1,3,5,4,5,1,6,1,0,5,6,1,5,5,5,3,6,3,6,0,4,0,6,6,3,6,5,6,4,6,0,2,6,5,5,6,5,6,1,4,4,3,2,4,2,5,2,6,6,6,0,0,3,6,2,0,6,6,0,6,5,2,0,2,2,2,1,4,6,6,3,6,4,4,3,4,5,2,4,6,6,2,6,1,0,0,0,3,1,2,0,6,6,3,2,0,1,4,2,4,6,4,2,6,3,6,6,2,6,2,0,6,3,4,0,3,2,6,6,6,6,6,6,4,2,6,1,1,1,3,6,3,1,5,6,6,5,6,6,4,2,1,3,6,4,0,1,4,1,1,1,2,3,4,5,5,3,2,2,3,5,4,6,6,6,0,2,4,3,1,5,6,5,3,5,0,2,6,0,6,0,1,1,5,2,6,6,1,0,6,4,0,4,1,5,5,1,4,2,6,0,5,6,1,3,4,1,4,6,6,1,6,3,0,1,5,1,2,1,6,1,4,3,1,0,5,2,1,2,5,0,6,6,3,0,6,1,5,4,5,3,0,3,4,3,1,3,6,6,6,4,1,5,6,0,0,4,6,2,0,6,4,2,0,6,4,6,5,4,4,2,3,1,1,4,6,4,0,3,4,6,2,3,6,4,4,5,2,6,0,6,4,6,4,3,3,6,5,0,0,2,6,4,5,6,0,4,6,5,6,5,4,1,6,6,1,5,6,6,6,2,3,2,1,1,4,2,4,6,2,2,2,6,6,1,0,4,6,2,4,1,4,6,1,3,6,6,1,0,1,6,0,6,3,2,4,6,1,6,2,0,0,1,6,5,6,2,3,1,6,5,2,4,4,1,3,2,1,4,4,4,0,3,2,5,5,6,0,5,2,4,3,0,0,5,5,6,5,3,6,6,5,1,3,3,6,6,1,0,6,5,2,6,1,4,1,5,2,4,3,0,5,6,2,4,3,6,2,2,6,6,2,0,1,0,4,5,3,2,6,6,2,5,0,0,4,0,4,6,0,2,6,6,5,5,5,4,6,6,6,6,5,4,5,3,6,5,6,2,6,4,5,1,6,6,0,0,6,5,2,0,1,5,6,2,5,2,5,1,4,5,2,0,5,6,3,6,1,6,3,3,6,5,2,3,6,2,3,0,6,5,3,0,6,4,6,6,4,6,3,6,6,1,0,6,3,1,4,3,3,6,3,4,5,4,6,2,0,6,4,2,0,4,4,6,4,6,1,6,1,4,0,4,6,6,6,3,0,6,6,6,5,3,6,6,4,6,4,0,5,6,6,2,3,5,1,1,2,5,6,4,4,6,5,6,3,2,6,0,4,6,5,5,5,6,5,2,6,5,1,4,2,4,3,6,6,0,0,1,6,6,2,3,0,2,3,4,1,5,0,6,2,5,3,0,6,0,0,0,6,6,6,5,3,6,1,1,6,2,5,0,5,5,0,6,2,1,1,0,2,6,6,2,2,2,2,6,6,6,4,6,5,1,6,4,2,3,3,2,0,5,6,5,6,6,5,6,5,6,0,1,1,0,1,4,0,0,2,4,1,5,0,5,0,5,3,6,3,2,6,0,6,2,2,2,4,5,6,4,2,6,6,2,4,5,6,4,6,2,2,0,5,1,6,6,4,4,1,1,6,6,2,6,3,1,1,5,6,4,0,0,1,0,6,5,6,0,5,5,6,6,0,4,6,6,1,6,2,1,3,2,1,1,1,5,6,6,5,2,4,2,3,6,6,3,1,3,6,0,5,6,2,1,3}

Returns: 2461838461816934
30

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{0,28,23,2,0,4,7,11,24,10,25,26,25,7,7,15,29,28,22,23,3,18,28,15,20,27,22,7,6,3,28,0,12,26,29,24,17,4,2,26,10,20,25,5,27,19,26,26,16,21,0,24,11,0,19,23,17,9,25,3,25,26,9,17,18,23,15,24,14,27,4,17,18,15,17,23,29,26,23,8,29,10,20,28,27,15,28,24,18,3,25,3,15,16,24,26,16,19,28,29,20,28,6,15,28,15,11,7,14,21,28,16,24,17,4,21,21,17,16,15,6,15,0,25,7,0,5,28,29,25,2,4,1,10,16,22,7,8,29,5,23,9,1,22,23,17,0,18,25,25,27,24,22,21,5,11,24,28,12,15,15,28,15,16,9,19,0,25,13,20,20,20,20,11,20,19,29,9,6,0,26,20,23,10,0,22,0,8,29,6,2,10,25,20,26,17,20,14,18,8,9,0,24,0,17,16,26,17,6,1,24,24,29,27,11,17,25,23,28,26,3,19,20,2,20,26,5,6,11,26,10,3,25,5,23,15,4,20,20,1,6,8,8,28,20,16,29,13,18,26,29,29,24,2,28,24,1,14,29,2,24,17,29,19,29,18,25,21,26,16,5,15,18,15,3,4,11,25,0,27,1,25,20,11,8,10,28,11,9,16,9,2,15,5,19,0,22,27,27,12,16,11,25,5,10,9,24,24,25,26,11,29,24,0,13,23,14,5,23,24,1,24,1,10,8,15,28,21,15,11,25,14,5,24,24,25,28,28,20,0,20,2,2,11,9,15,8,20,6,6,2,8,5,19,2,9,1,2,22,22,17,15,18,23,24,11,22,0,23,6,21,11,20,7,17,12,24,21,15,0,17,18,28,14,26,19,18,24,2,11,23,25,26,8,28,18,19,5,6,17,14,1,15,21,4,21,7,25,6,25,14,1,29,0,6,24,14,7,9,19,1,24,1,17,0,0,20,15,20,24,11,2,20,10,20,0,7,11,5,0,1,25,29,5,28,25,25,19,0,18,9,9,5,25,15,21,3,12,23,23,10,28,26,25,28,0,12,17,20,6,8,20,28,12,6,28,10,22,26,9,8,20,28,23,17,3,26,24,10,5,15,6,20,1,19,10,0,5,19,4,5,8,25,20,3,19,15,27,6,19,5,5,20,11,4,16,24,21,20,2,5,19,24,4,20,28,14,15,0,15,26,17,1,12,24,16,0,5,21,0,23,15,1,0,29,28,12,26,6,26,4,16,16,11,25,25,25,7,5,1,12,27,20,27,8,21,29,19,7,7,0,0,24,28,15,6,21,7,29,24,6,17,24,26,3,10,24,26,17,29,29,0,20,0,0,17,17,28,29,8,4,29,17,7,26,28,6,7,5,16,24,13,1,11,0,6,17,8,23,11,23,5,6,22,20,5,25,1,10,18,24,29,8,27,26,18,20,3,1,23,8,12,9,29,15,11,6,11,10,5,24,4,25,24,20,20,1,24,26,24,5,17,12,2,20,11,18,19,24,9,27,5,15,28,2,18,8,21,16,27,7,0,11,6,28,29,16,8,0,0,29,23,27,18,20,29,18,23,11,1,21,3,20,5,7,8,15,1,21,6,11,24,0,24,27,27,25,2,14,15,27,25,22,29,2,15,29,7,14,9,2,1,0,5,28,17,2,1,2,5,7,8,10,8,5,16,20,21,18,20,26,20,1,5,21,22,23,14,3,24,15,29,2,2,27,5,21,25,15,0,25,21,17,6,21,25,21,24,26,14,21,21,13,15,24,5,17,14,29,17,16,20,26,1,18,20,8,5,0,0,5,8,5,28,13,28,11,0,3,8,26,25,29,11,1,5,24,20,20,15,9,14,21,2,12,6,26,18,15,2,19,14,24,11,29,28,6,25,23,11,17,17,18,24,20,17,21,14,29,23,25,13,7,18,24,1,24,20,1,23,26,25,1,24,19,29,0,13,7,9,15,3,10,16,11,18,19,29,24,23,8,9,28,25,22,15,5,5,19,18,5,0,24,24,18,5,0,25,20,26,20,16,4,7,0,8,21,26,22,6,18,25,20,12,17,18,20,21,8,13,14,0,29,19,5,5,21,3,16,6,4,6,17,9,16,0,8,15,26,15,6,20,15,5,2,13,8,28,8,29,29,0,27,12,4,27,9,26,22,15,0,17,9,11,20,5,15,21,12,6,5,5,28,2,9,9,28,0,4,1,6,8,5,13,25,9,8,11,5,3,19,19,25,29,21,15,14,28,17,14,0,17,10,10,15,23,20,25,26,29,23,27,4,6,7,24,23,5,5,9,15,20,28,21,25,20,24,22,5,26,5,19,25,13,16,5,1,21,16,20,29,8,21,5,9,21,5,24,2,6,5,29,19,9,17,6,26,22,2,24,21,29,11,20,5,7,15,14,2,19,29,21,20,20,20,23,5,2,25,19,20,25,8,25,23,15,27,3,13,28,28,8,10,22,28,4,22,2,23,29,28,20,6,16,25,11,18,21,11,25,5,6,24,22,4,17,8,15,0,20,28,6,22,23,20,25,23,5,16,6,26,29,15,9,23,28,0,0,23,8,18,12,0,17,15,4,5,29,0,0,28,7,28,0,18,18,2,11,26,29,20,23,8,17,14,15,21,17,20,25,2,0,24,23,0,20,6,24,9,19,16,17,16,25,9,17,8,14,18,18,2,15,9,9,0,0,11,19,19,15,0,14,15,20,25,24,25,24,1,2,25,11,15,5,6,29,6,0,4,24,19,9,4,24,15,24,24,18,28,23,18,29,29,4,15,14,20,0,20,23,11,20,25,24,1,1,11,16,23,20,27,22,12,21,17,23,24,26,21,15,16,19,5,24,10,17,2,5,26,9,24,2,7,2,14,0,5,20,14,28,6,17,28,18,13,23,17,18,25,28,29,19,3,24,9,16,6,5,8,21,9,28,0,0,1,24,6,20,7,16,25,20,17,16,21,28,24,25,6,4,17,7,8,24,25,5,23,28,0,0,28,29,29,15,20,16,25,17,5,25,6,24,19,15,24,28,29,6,20,25,17,0,0,5,5,26,15,11,15,1,23,13,10,25,11,27,28,25,2,23,9,5,23,11,21,16,29,1,17,1,28,13,7,19,5,9,27,26,10,25,0,5,27,29,11,0,29,21,27,19,11,15,29,0,28,29,0,23,20,22,24,27,16,24,29,28,29,19,25,8,29,26,2,24,17,28,27,14,1,23,9,24,5,5,17,0,26,16,3,27,21,9,10,11,0,7,27,9,23,24,12,25,17,19,5,27,28,12,0,29,1,28,25,28,28,17,9,6,8,2,19,23,15,17,5,29,16,19,6,18,16,13,10,21,20,5,9,0,15,24,25,24,22,27,25,26,11,17,17,21}

Returns: 70000002999999975
40

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{21,38,30,36,14,19,20,24,34,38,19,13,14,23,32,30,31,16,11,8,30,16,38,25,13,30,29,2,14,6,23,3,22,29,35,7,4,30,10,10,0,13,30,8,34,3,14,31,36,36,16,33,26,5,26,24,16,20,30,14,28,20,33,38,16,36,18,18,16,27,23,38,11,37,11,2,23,7,32,14,15,32,35,37,29,7,5,16,6,37,16,4,24,4,23,36,10,21,31,22,3,28,38,38,39,20,18,3,29,13,7,17,12,30,32,29,31,38,26,5,5,31,4,16,24,5,23,7,37,35,23,22,32,24,11,30,10,35,8,32,0,24,30,31,30,7,26,29,31,25,21,4,15,30,7,16,3,20,3,27,4,39,11,26,8,39,24,4,24,18,20,5,17,0,23,5,4,38,16,14,34,24,33,9,1,30,31,0,23,10,17,18,34,28,8,31,31,30,34,14,21,38,28,30,36,23,32,16,17,23,8,2,14,1,23,20,14,33,0,2,0,32,32,25,14,29,16,14,6,30,21,36,16,14,38,21,30,20,39,15,1,5,29,27,24,17,20,22,26,28,19,24,31,34,33,26,14,0,5,3,9,2,31,29,10,24,10,23,23,30,30,34,29,15,13,38,11,11,31,7,8,31,20,2,6,34,25,10,30,29,4,10,18,21,14,14,5,21,20,13,26,28,38,24,29,35,29,16,10,37,34,36,38,34,0,29,25,31,5,36,6,4,29,0,30,26,6,29,0,4,26,33,11,14,22,11,10,24,21,25,4,31,37,22,39,25,23,3,1,18,11,30,24,19,10,16,7,10,8,16,23,30,24,29,8,33,16,0,19,5,1,27,16,5,29,14,23,34,23,24,6,33,10,31,25,11,30,21,34,14,36,24,4,36,12,10,30,1,24,21,6,8,8,20,0,26,31,38,23,37,2,16,31,30,25,3,29,17,3,38,8,33,29,14,10,5,36,24,30,15,12,19,30,21,33,4,28,36,13,31,18,10,20,10,28,6,25,30,26,24,13,6,24,16,16,20,16,34,35,34,28,0,16,27,23,17,36,13,2,34,0,38,10,32,25,7,21,32,29,30,27,15,24,13,7,32,16,0,13,31,33,25,37,24,20,26,15,39,26,29,26,25,16,26,24,12,38,10,18,37,36,14,21,25,32,31,29,4,36,39,30,5,2,19,16,31,4,34,25,19,14,29,29,23,32,34,20,14,19,23,2,33,7,16,13,29,30,23,33,17,7,23,8,29,14,2,36,7,0,27,14,16,28,16,9,23,20,0,6,10,11,8,26,18,19,17,14,10,7,19,36,16,38,14,27,14,38,5,38,22,10,11,14,10,25,30,7,4,34,23,30,16,35,7,20,10,35,10,34,7,18,33,16,7,30,30,16,34,29,0,8,14,10,11,10,23,31,14,19,36,36,13,23,10,9,38,36,28,29,34,33,29,20,16,15,25,19,36,0,33,22,30,11,35,24,13,33,14,1,33,14,7,26,37,39,24,31,38,25,16,22,13,14,37,1,32,24,4,6,34,30,17,23,33,13,26,23,15,32,36,18,33,33,39,25,34,38,22,38,10,33,37,17,23,14,3,23,31,11,16,26,7,26,18,4,22,23,24,14,14,4,21,21,36,26,27,16,18,38,17,23,19,11,37,24,1,29,27,35,22,21,30,11,1,4,31,26,10,34,34,36,34,29,1,0,28,5,32,30,39,9,3,28,13,14,29,1,7,33,24,0,17,16,18,31,23,20,21,30,34,36,25,0,8,35,31,18,38,26,35,20,32,27,7,33,3,14,7,16,31,11,1,34,4,20,31,0,9,33,32,33,34,17,25,30,12,13,0,10,7,24,14,10,24,24,8,38,4,20,26,11,29,4,38,14,28,10,30,5,21,36,6,22,35,23,20,25,24,4,30,24,30,32,28,36,38,30,2,22,25,7,18,23,19,26,25,33,2,21,16,11,17,17,3,12,31,23,30,29,38,39,4,27,23,30,30,8,22,38,16,25,22,33,38,13,23,1,15,33,7,2,35,16,19,20,16,13,19,0,30,2,26,26,21,27,33,2,7,30,27,33,0,7,38,30,29,21,18,32,25,28,7,30,2,14,32,26,25,36,25,16,21,31,1,18,12,30,33,34,23,10,24,18,9,16,19,33,25,27,29,7,13,11,24,26,31,27,39,33,32,30,31,24,32,21,1,29,13,23,4,32,16,6,36,37,37,23,2,5,26,24,29,16,27,16,12,16,22,19,34,33,16,36,30,7,12,23,0,16,34,39,23,36,10,32,22,18,24,16,18,11,4,26,0,11,26,17,13,37,30,16,13,30,25,38,11,4,34,36,30,18,33,10,25,0,20,18,39,7,26,19,10,29,19,8,16,16,9,4,37,14,8,18,8,30,30,33,35,26,26,23,18,16,20,8,11,23,8,36,23,24,15,38,0,25,30,36,25,21,13,19,5,36,26,29,5,33,7,1,14,39,18,34,31,38,29,3,16,38,21,14,5,7,19,32,23,14,10,8,11,5,2,29,18,36,32,30,7,30,23,2,23,0,31,30,33,6,18,4,21,18,26,36,23,29,14,5,26,34,10,20,37,23,2,5,31,27,0,37,25,1,10,23,30,7,28,33,15,21,34,11,21,31,11,14,31,36,33,5,23,24,28,28,21,37,12,7,34,29,7,34,16,2,2,2,14,33,31,16,36,37,25,8,17,14,7,30,30,18,19,37,5,3,28,32,19,37,29,35,34,38,14,19,39,4,7,27,16,29,17,5,33,21,16,7,37,24,17,25,9,1,12,5,11,34,28,22,21,30,15,10,33,1,8,38,15,17,33,24,26,16,38,23,27,30,24,7,23,9,13,24,18,17,30,37,14,24,13,39,29,36,36,22,34,23,26,25,22,2,18,21,30,23,21,18,30,19,20,32,18,37,9,26,5,34,38,17,39,34,13,31,33,34,9,1,0,35,20,16,28,17,26,14,30,23,1,0,14,38,30,38,29,33,0,5,30,30,32,26,23,20,4,4,13,30,39,4,17,5,29,5,34,20,0,18,23,10,5,19,21,19,12,38,13,23,29,26,1,24,18,39,12,38,26,35,18,26,20,6,24,2,23,6,31,2,13,10,23,4,28,31,25,1,10,29,37,38,13,21,34,10,14,18,34,17,30,18,4,32,21,36,36,25,16,36,25,34,34,16,0,13,34,31,20,11,34,34,30,4,27,29,36,8,34,0,38,31,31,30,7,22,20,32,18,36,25,5,34,29,33,14,33,29,30,34,11,34,22,33,10,30,0,29,27,8,38,5,25,23,14,30,24,13,11,22,29,33,34,26,34,6,23,34,37,37,0,10,38,8,24,30,10,35,35,14,31,2,23,38,24}

Returns: 130000005300000004
37

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Returns: 90000005000000025
1

{0}

{0}

{0}

Returns: 0
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Returns: 0
1

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Returns: 0
300

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Returns: 588067252200
150

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Returns: 287819069979
100

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Returns: 184275602765
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Returns: 133653475152
50

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Returns: 83518180650
2

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Returns: 18742415132
3

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Returns: 4361882795843
4

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Returns: 176822062338370
5

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Returns: 353669700996031
6

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Returns: 797901764196097
10

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Returns: 28762561690840
13

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Returns: 52118284990299
18

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Returns: 145963234400499
25

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Returns: 403068895380840
34

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Returns: 1018164634611768
45

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Returns: 1897565393095840
58

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Returns: 3838277876657924
73

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Returns: 5613005588022776
90

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Returns: 9091417256175063
109

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Returns: 15776736429250000

Statistics

Problem Statement for "ColorfulEnclosure"

Problem Statement

Definition

Constraints

Examples