TopCoder Statistics - Problem Statement

Problem Statement

Dr. Black was just killed somewhere in his mansion. You are investigating the murder.

There are six suspects: "White", "Green", "Peacock", "Plum", "Scarlett", and "Mustard".

There are eight rooms: "Hall", "Kitchen", "Ballroom", "Conservatory", "Cellar", "Library", "Lounge", and "Study".

Initially (at time 0) all suspects were in the Hall.

Dr. Black was staying in the room murderRoom for the whole time, and that is also where he was killed. An autopsy of his body has shown that the time of the murder was murderTime.

You have collected a chronologically ordered sequence of events. For each valid index i, there is an event of the following form: "At time eventTime[i], the suspect eventPerson[i] moved to the room eventRoom[i]."

Find the murderer! That is, if there is a single suspect who was in the murder room at the time of the murder, return their name. Otherwise, return an empty string.

Definition

Class:: Alibi
Method:: findMurderer
Parameters:: String, int, int[], String[], String[]
Returns:: String
Method signature:: String findMurderer(String murderRoom, int murderTime, int[] eventTime, String[] eventPerson, String[] eventRoom)
(be sure your method is public)

Notes

You can determine the number of events by looking at the length of the int[] eventTime.

Constraints

murderRoom will be one of the rooms listed in the statement.
murderTime will be between 1 and 1000, inclusive.
eventTime will contain between 0 and 50 elements, inclusive.
eventTime, eventPerson and eventRoom will each contain the same number of elements.
Each element of eventTime will be between 1 and 1000, inclusive.
Elements of eventTime will be sorted in a strictly increasing order.
Elements of eventTime will all be distinct from murderTime.
Each element of eventPerson will be one of the suspects listed in the statement.
Each element of eventRoom will be one of the rooms listed in the statement.

Examples

"Library"

10

{ 5, 7, 9 }

{ "Plum", "Scarlett", "Plum" }

{ "Library", "Library", "Cellar" }

Returns: "Scarlett"

Mr. Black was killed in the Library at time 10. At that time, Miss Scarlett was the only suspect in the library -- professor Plum was there earlier but at time 10 he was already in the Cellar. Thus, Scarlett must be the murderer.
"Library"

10

{}

{}

{}

Returns: ""

According to our data, everybody was still in the Hall at the time of the murder, so there is no clear murderer.
"Library"

8

{ 5, 7, 9 }

{ "Plum", "Scarlett", "Plum" }

{ "Library", "Library", "Cellar" }

Returns: ""

At time 8 there were two suspects in the Library so we do not know who's the murderer.
"Hall"

11

{ 2, 4, 6, 8, 10, 12 }

{ "White", "Green", "Peacock", "Plum", "Scarlett", "Mustard" }

{ "Kitchen", "Ballroom", "Conservatory", "Library", "Lounge", "Study" }

Returns: "Mustard"

At time 11 the only suspect still in the Hall was colonel Mustard.
"Library"

10

{3, 7}

{"Plum", "Plum"}

{"Library", "Library"}

Returns: "Plum"

The new room for a person can be the same as their old room. In that case, they just stay where they are. In this case, professor Plum went from the Hall to the Library at time 3 and then nothing changed at time 7.
"Ballroom"

186

{1, 10, 25, 35, 42, 65, 105, 236, 244, 248, 264, 271, 324, 352, 368, 384, 396, 402, 429, 438, 441, 453, 465, 494, 525, 527, 536, 560, 567, 575, 582, 585, 631, 675, 705, 734, 742, 812, 815, 836, 921, 940, 966, 981, 989}

{"Peacock", "Scarlett", "Peacock", "Scarlett", "Scarlett", "Green", "Green", "Mustard", "White", "Green", "Peacock", "White", "Peacock", "Scarlett", "Plum", "Scarlett", "Scarlett", "Peacock", "White", "Mustard", "Green", "Mustard", "Peacock", "Green", "Plum", "Mustard", "White", "Plum", "Scarlett", "Peacock", "Mustard", "Peacock", "Green", "Scarlett", "Peacock", "Peacock", "Scarlett", "Scarlett", "White", "Plum", "Peacock", "Scarlett", "Plum", "Peacock", "Mustard"}

{"Conservatory", "Kitchen", "Conservatory", "Lounge", "Study", "Cellar", "Ballroom", "Study", "Hall", "Ballroom", "Kitchen", "Kitchen", "Cellar", "Study", "Lounge", "Library", "Hall", "Cellar", "Study", "Library", "Hall", "Conservatory", "Conservatory", "Library", "Lounge", "Ballroom", "Ballroom", "Study", "Conservatory", "Ballroom", "Kitchen", "Ballroom", "Library", "Lounge", "Kitchen", "Cellar", "Study", "Hall", "Kitchen", "Lounge", "Kitchen", "Library", "Hall", "Cellar", "Hall"}

Returns: "Green"
"Kitchen"

311

{11, 23, 48, 56, 63, 76, 91, 127, 155, 180, 206, 241, 245, 280, 310, 316, 347, 388, 465, 503, 507, 541, 548, 557, 562, 564, 578, 581, 585, 594, 628, 634, 637, 651, 712, 730, 752, 781, 792, 802, 832, 856, 879, 888, 899, 901, 918, 944}

{"White", "Scarlett", "Plum", "Peacock", "Scarlett", "White", "White", "Plum", "Plum", "Peacock", "Peacock", "Scarlett", "Plum", "Scarlett", "Green", "White", "Scarlett", "White", "Plum", "Mustard", "Plum", "White", "Plum", "Scarlett", "Scarlett", "White", "Peacock", "Mustard", "Plum", "Scarlett", "White", "Green", "Peacock", "Peacock", "Green", "Plum", "White", "Scarlett", "White", "Mustard", "Plum", "Plum", "Peacock", "Mustard", "Scarlett", "Mustard", "Mustard", "Mustard"}

{"Hall", "Conservatory", "Cellar", "Hall", "Cellar", "Study", "Lounge", "Kitchen", "Kitchen", "Study", "Library", "Cellar", "Lounge", "Conservatory", "Kitchen", "Kitchen", "Cellar", "Lounge", "Library", "Library", "Kitchen", "Kitchen", "Lounge", "Library", "Hall", "Library", "Hall", "Lounge", "Cellar", "Cellar", "Conservatory", "Cellar", "Conservatory", "Study", "Cellar", "Study", "Study", "Library", "Hall", "Ballroom", "Study", "Hall", "Hall", "Lounge", "Study", "Study", "Cellar", "Cellar"}

Returns: "Green"
"Ballroom"

82

{24, 44, 174, 184, 186, 241, 270, 321, 345, 387, 389, 434, 437, 473, 510, 516, 526, 569, 572, 584, 604, 609, 610, 624, 628, 632, 639, 690, 699, 707, 714, 719, 835, 877, 895, 936, 940, 941, 956, 979, 992}

{"Green", "Scarlett", "White", "Plum", "Plum", "White", "Green", "Plum", "Green", "Scarlett", "Plum", "White", "Scarlett", "Green", "Mustard", "White", "Scarlett", "Plum", "White", "Plum", "Plum", "Mustard", "Plum", "Mustard", "Peacock", "Mustard", "White", "Scarlett", "Plum", "White", "White", "Plum", "Plum", "Scarlett", "White", "Scarlett", "Green", "Mustard", "Plum", "Plum", "Plum"}

{"Kitchen", "Lounge", "Library", "Lounge", "Conservatory", "Library", "Lounge", "Kitchen", "Ballroom", "Study", "Library", "Kitchen", "Cellar", "Study", "Kitchen", "Library", "Hall", "Lounge", "Kitchen", "Conservatory", "Conservatory", "Cellar", "Cellar", "Kitchen", "Hall", "Cellar", "Ballroom", "Study", "Conservatory", "Lounge", "Study", "Hall", "Lounge", "Conservatory", "Library", "Kitchen", "Library", "Kitchen", "Ballroom", "Kitchen", "Conservatory"}

Returns: ""
"Library"

533

{37, 80, 93, 94, 95, 105, 125, 129, 139, 170, 173, 207, 225, 302, 322, 327, 339, 356, 357, 404, 425, 528, 563, 573, 604, 656, 657, 680, 696, 733, 737, 788, 831, 854, 883, 940, 959, 962, 968, 985, 987, 996}

{"Plum", "Scarlett", "Scarlett", "Scarlett", "Mustard", "Peacock", "Scarlett", "Scarlett", "Plum", "Mustard", "Plum", "Plum", "Mustard", "Plum", "Mustard", "Plum", "White", "Green", "Peacock", "White", "Scarlett", "Plum", "White", "Plum", "Scarlett", "White", "White", "Peacock", "Plum", "Mustard", "White", "Peacock", "Green", "Mustard", "Plum", "Plum", "Mustard", "Scarlett", "Plum", "Mustard", "Scarlett", "White"}

{"Conservatory", "Conservatory", "Hall", "Study", "Library", "Ballroom", "Ballroom", "Cellar", "Kitchen", "Hall", "Cellar", "Hall", "Hall", "Cellar", "Library", "Conservatory", "Conservatory", "Library", "Library", "Ballroom", "Conservatory", "Study", "Hall", "Cellar", "Cellar", "Lounge", "Kitchen", "Lounge", "Lounge", "Library", "Study", "Cellar", "Hall", "Study", "Conservatory", "Cellar", "Lounge", "Hall", "Hall", "Lounge", "Conservatory", "Lounge"}

Returns: ""
"Lounge"

561

{7, 13, 66, 68, 70, 117, 167, 203, 210, 219, 233, 258, 274, 304, 348, 354, 382, 433, 452, 483, 484, 485, 546, 547, 578, 620, 640, 643, 740, 813, 835, 857, 887, 889, 903, 908, 939, 952, 987, 992, 998}

{"Green", "Peacock", "Plum", "White", "Mustard", "Mustard", "Scarlett", "Plum", "Peacock", "Scarlett", "Peacock", "White", "White", "White", "Peacock", "White", "Scarlett", "Green", "Scarlett", "Scarlett", "White", "White", "Scarlett", "Scarlett", "White", "Plum", "Plum", "Green", "White", "Peacock", "Mustard", "Mustard", "Plum", "Scarlett", "Peacock", "White", "White", "Peacock", "Scarlett", "Mustard", "Peacock"}

{"Hall", "Study", "Study", "Lounge", "Library", "Kitchen", "Cellar", "Lounge", "Library", "Kitchen", "Lounge", "Lounge", "Ballroom", "Cellar", "Hall", "Hall", "Conservatory", "Ballroom", "Conservatory", "Kitchen", "Hall", "Lounge", "Lounge", "Lounge", "Lounge", "Ballroom", "Ballroom", "Lounge", "Study", "Cellar", "Ballroom", "Kitchen", "Hall", "Conservatory", "Ballroom", "Kitchen", "Hall", "Ballroom", "Kitchen", "Ballroom", "Cellar"}

Returns: ""
"Kitchen"

607

{14, 25, 121, 150, 156, 172, 188, 237, 292, 317, 420, 439, 461, 472, 496, 500, 502, 555, 593, 595, 613, 620, 621, 628, 632, 649, 667, 742, 750, 772, 801, 807, 825, 827, 828, 844, 869, 875, 892, 894, 918, 920, 930, 949, 953, 957, 981}

{"Plum", "Peacock", "Peacock", "Scarlett", "Peacock", "Peacock", "Plum", "Plum", "White", "Scarlett", "Scarlett", "Peacock", "Green", "Plum", "Plum", "White", "Mustard", "White", "Scarlett", "White", "Peacock", "Mustard", "Peacock", "Mustard", "Mustard", "Scarlett", "Green", "White", "Peacock", "Peacock", "Green", "Scarlett", "White", "Plum", "Plum", "Mustard", "Peacock", "Green", "Peacock", "Peacock", "Peacock", "Plum", "Mustard", "White", "Green", "Mustard", "Green"}

{"Conservatory", "Cellar", "Conservatory", "Study", "Library", "Ballroom", "Library", "Kitchen", "Ballroom", "Ballroom", "Conservatory", "Library", "Conservatory", "Conservatory", "Hall", "Library", "Lounge", "Ballroom", "Study", "Ballroom", "Conservatory", "Lounge", "Hall", "Study", "Library", "Kitchen", "Cellar", "Kitchen", "Ballroom", "Conservatory", "Cellar", "Lounge", "Kitchen", "Cellar", "Library", "Kitchen", "Lounge", "Library", "Conservatory", "Cellar", "Cellar", "Library", "Hall", "Conservatory", "Cellar", "Study", "Library"}

Returns: ""
"Ballroom"

248

{24, 39, 80, 89, 97, 109, 154, 195, 204, 213, 220, 223, 226, 267, 278, 281, 302, 309, 352, 391, 424, 430, 505, 508, 608, 628, 658, 665, 667, 671, 700, 770, 784, 786, 874, 896, 904, 909, 911, 932, 947, 968}

{"Mustard", "Mustard", "Green", "Scarlett", "White", "Scarlett", "Plum", "Peacock", "Peacock", "Peacock", "White", "White", "Mustard", "Peacock", "Plum", "Green", "White", "Mustard", "White", "Scarlett", "Mustard", "Peacock", "Scarlett", "Mustard", "Plum", "Green", "White", "Peacock", "Peacock", "Mustard", "Mustard", "Mustard", "Plum", "Peacock", "Scarlett", "White", "White", "Peacock", "Plum", "Scarlett", "Green", "Scarlett"}

{"Study", "Cellar", "Library", "Lounge", "Conservatory", "Library", "Conservatory", "Ballroom", "Conservatory", "Conservatory", "Hall", "Hall", "Cellar", "Cellar", "Conservatory", "Library", "Library", "Ballroom", "Library", "Library", "Ballroom", "Ballroom", "Study", "Kitchen", "Hall", "Lounge", "Study", "Study", "Cellar", "Kitchen", "Study", "Cellar", "Library", "Cellar", "Conservatory", "Lounge", "Kitchen", "Cellar", "Lounge", "Library", "Study", "Cellar"}

Returns: ""
"Hall"

379

{10, 26, 28, 38, 48, 55, 85, 103, 134, 192, 222, 236, 242, 254, 281, 292, 317, 365, 372, 412, 413, 426, 454, 464, 466, 486, 537, 543, 545, 567, 572, 589, 646, 689, 707, 739, 752, 776, 841, 935, 945, 946}

{"Scarlett", "Plum", "Scarlett", "Plum", "Scarlett", "Green", "Green", "Green", "Peacock", "Mustard", "Peacock", "Green", "Scarlett", "Mustard", "Plum", "Scarlett", "Mustard", "Peacock", "Plum", "Peacock", "Peacock", "Scarlett", "White", "Green", "Peacock", "Green", "White", "Green", "Green", "Mustard", "Mustard", "Mustard", "Plum", "Mustard", "Mustard", "White", "Peacock", "Mustard", "Scarlett", "Mustard", "Mustard", "Mustard"}

{"Conservatory", "Library", "Kitchen", "Cellar", "Ballroom", "Cellar", "Library", "Ballroom", "Ballroom", "Kitchen", "Ballroom", "Hall", "Ballroom", "Kitchen", "Cellar", "Hall", "Library", "Ballroom", "Kitchen", "Study", "Cellar", "Kitchen", "Cellar", "Conservatory", "Study", "Ballroom", "Ballroom", "Conservatory", "Conservatory", "Cellar", "Cellar", "Study", "Hall", "Cellar", "Conservatory", "Hall", "Lounge", "Ballroom", "Cellar", "Study", "Conservatory", "Study"}

Returns: ""
"Kitchen"

986

{39, 45, 52, 54, 71, 96, 181, 182, 184, 221, 236, 242, 254, 275, 297, 299, 303, 308, 311, 314, 315, 323, 412, 413, 468, 472, 483, 520, 568, 575, 614, 618, 625, 626, 627, 641, 672, 676, 751, 760, 806, 811, 835, 854, 856, 887, 922, 931, 952, 983}

{"Plum", "Scarlett", "Scarlett", "Plum", "Green", "Plum", "Plum", "Mustard", "Scarlett", "Green", "Scarlett", "Scarlett", "Plum", "Mustard", "Plum", "Scarlett", "Green", "Peacock", "Plum", "Peacock", "Peacock", "White", "Plum", "Plum", "Green", "White", "Mustard", "Plum", "Green", "Green", "White", "Peacock", "Scarlett", "White", "Peacock", "Plum", "Scarlett", "Peacock", "Mustard", "Green", "Peacock", "White", "Mustard", "White", "Green", "Green", "Scarlett", "Peacock", "Peacock", "White"}

{"Study", "Cellar", "Cellar", "Library", "Conservatory", "Hall", "Cellar", "Study", "Conservatory", "Kitchen", "Cellar", "Ballroom", "Lounge", "Cellar", "Conservatory", "Cellar", "Ballroom", "Ballroom", "Library", "Ballroom", "Cellar", "Study", "Kitchen", "Cellar", "Cellar", "Ballroom", "Lounge", "Conservatory", "Conservatory", "Ballroom", "Kitchen", "Cellar", "Ballroom", "Study", "Cellar", "Hall", "Kitchen", "Conservatory", "Conservatory", "Kitchen", "Conservatory", "Study", "Lounge", "Cellar", "Cellar", "Hall", "Library", "Library", "Lounge", "Kitchen"}

Returns: "White"
"Study"

901

{25, 35, 142, 172, 191, 206, 207, 234, 235, 238, 251, 252, 267, 322, 376, 380, 435, 475, 501, 510, 547, 565, 584, 595, 610, 630, 648, 690, 703, 707, 715, 737, 759, 791, 821, 845, 855, 865, 885, 891, 892, 925, 941, 950, 965}

{"Green", "White", "Plum", "Plum", "Green", "Plum", "White", "Plum", "Scarlett", "Scarlett", "White", "Plum", "Green", "Plum", "Green", "Mustard", "White", "Green", "Plum", "Scarlett", "White", "Scarlett", "Peacock", "Plum", "Peacock", "Peacock", "Scarlett", "Mustard", "Mustard", "Scarlett", "Mustard", "Mustard", "Mustard", "Mustard", "Scarlett", "Plum", "Scarlett", "Green", "Mustard", "White", "Green", "Green", "Plum", "Scarlett", "Plum"}

{"Study", "Lounge", "Lounge", "Ballroom", "Lounge", "Library", "Hall", "Library", "Kitchen", "Library", "Lounge", "Cellar", "Ballroom", "Hall", "Conservatory", "Hall", "Cellar", "Cellar", "Ballroom", "Library", "Library", "Conservatory", "Ballroom", "Conservatory", "Kitchen", "Ballroom", "Library", "Hall", "Ballroom", "Ballroom", "Lounge", "Cellar", "Kitchen", "Ballroom", "Conservatory", "Library", "Study", "Cellar", "Kitchen", "Library", "Cellar", "Hall", "Cellar", "Cellar", "Study"}

Returns: "Scarlett"
"Cellar"

382

{21, 56, 59, 60, 101, 139, 162, 187, 211, 213, 240, 245, 333, 373, 377, 394, 438, 491, 494, 506, 510, 525, 542, 564, 572, 590, 648, 673, 688, 689, 691, 706, 711, 718, 720, 762, 794, 879, 891, 893, 900, 998}

{"Scarlett", "Green", "Plum", "Mustard", "Plum", "Green", "Mustard", "Green", "Green", "Green", "Peacock", "White", "Scarlett", "Scarlett", "Mustard", "Green", "Scarlett", "Plum", "Green", "Peacock", "Scarlett", "Mustard", "Plum", "Mustard", "Plum", "Scarlett", "Plum", "Mustard", "White", "Green", "Scarlett", "Plum", "Plum", "White", "Scarlett", "White", "White", "Scarlett", "Mustard", "White", "Green", "Plum"}

{"Conservatory", "Hall", "Kitchen", "Hall", "Library", "Cellar", "Study", "Cellar", "Kitchen", "Kitchen", "Library", "Study", "Hall", "Cellar", "Study", "Study", "Ballroom", "Kitchen", "Cellar", "Library", "Study", "Hall", "Study", "Hall", "Lounge", "Kitchen", "Conservatory", "Library", "Conservatory", "Conservatory", "Ballroom", "Conservatory", "Study", "Kitchen", "Cellar", "Kitchen", "Study", "Conservatory", "Hall", "Ballroom", "Cellar", "Ballroom"}

Returns: "Scarlett"
"Ballroom"

589

{20, 67, 79, 104, 106, 108, 131, 133, 147, 171, 185, 326, 341, 380, 385, 417, 435, 439, 545, 585, 620, 681, 695, 699, 764, 796, 812, 815, 823, 829, 837, 855, 870, 879, 883, 921, 927, 934, 935, 936, 942, 980}

{"Green", "White", "Green", "Plum", "White", "White", "Scarlett", "Plum", "Mustard", "White", "White", "Green", "Peacock", "Mustard", "Mustard", "Green", "Mustard", "Green", "Peacock", "Green", "Green", "White", "Plum", "Green", "Plum", "Scarlett", "White", "White", "Green", "Mustard", "Mustard", "Scarlett", "Plum", "Scarlett", "Mustard", "Scarlett", "White", "Peacock", "Green", "Peacock", "Peacock", "Green"}

{"Hall", "Cellar", "Hall", "Ballroom", "Hall", "Cellar", "Cellar", "Lounge", "Library", "Hall", "Library", "Cellar", "Ballroom", "Ballroom", "Conservatory", "Hall", "Study", "Conservatory", "Cellar", "Lounge", "Study", "Hall", "Hall", "Library", "Lounge", "Kitchen", "Kitchen", "Library", "Conservatory", "Cellar", "Library", "Kitchen", "Ballroom", "Study", "Lounge", "Library", "Conservatory", "Cellar", "Cellar", "Study", "Conservatory", "Study"}

Returns: ""
"Library"

576

{9, 37, 42, 46, 70, 91, 92, 99, 120, 144, 162, 204, 241, 246, 264, 272, 281, 291, 332, 342, 374, 382, 384, 398, 452, 479, 494, 495, 519, 550, 584, 601, 635, 718, 767, 774, 833, 873, 932, 968, 977, 980, 982, 986, 996, 999}

{"Mustard", "Peacock", "Scarlett", "Plum", "Green", "Peacock", "White", "Plum", "Plum", "Scarlett", "Mustard", "Peacock", "Green", "Mustard", "Green", "White", "Green", "White", "Peacock", "Mustard", "Plum", "Plum", "Green", "Green", "White", "Mustard", "Peacock", "Scarlett", "Scarlett", "Green", "Scarlett", "White", "Peacock", "Peacock", "Green", "Plum", "White", "White", "Green", "Scarlett", "Green", "Mustard", "Mustard", "Scarlett", "Green", "Scarlett"}

{"Kitchen", "Lounge", "Library", "Cellar", "Hall", "Cellar", "Ballroom", "Hall", "Cellar", "Cellar", "Lounge", "Library", "Library", "Conservatory", "Cellar", "Conservatory", "Library", "Lounge", "Library", "Conservatory", "Ballroom", "Library", "Hall", "Study", "Ballroom", "Library", "Lounge", "Kitchen", "Kitchen", "Kitchen", "Lounge", "Ballroom", "Ballroom", "Ballroom", "Study", "Kitchen", "Conservatory", "Library", "Lounge", "Conservatory", "Study", "Kitchen", "Study", "Conservatory", "Hall", "Hall"}

Returns: ""
"Library"

460

{13, 36, 49, 112, 142, 152, 159, 170, 199, 205, 238, 256, 264, 360, 364, 377, 390, 396, 403, 406, 432, 473, 496, 546, 570, 604, 611, 687, 711, 740, 748, 798, 801, 832, 879, 880, 898, 937, 964, 966, 990, 994, 997}

{"Mustard", "White", "Green", "Mustard", "Green", "Green", "White", "White", "Mustard", "Peacock", "Green", "White", "Scarlett", "Green", "White", "Mustard", "Peacock", "Mustard", "Peacock", "Peacock", "Plum", "Mustard", "Green", "Plum", "Mustard", "Plum", "Green", "Mustard", "Green", "Scarlett", "Plum", "White", "Green", "Green", "Plum", "Green", "Plum", "Peacock", "White", "White", "Scarlett", "Plum", "Green"}

{"Cellar", "Ballroom", "Cellar", "Cellar", "Lounge", "Ballroom", "Library", "Kitchen", "Library", "Conservatory", "Conservatory", "Study", "Study", "Ballroom", "Conservatory", "Cellar", "Hall", "Kitchen", "Lounge", "Hall", "Library", "Hall", "Study", "Hall", "Kitchen", "Cellar", "Library", "Conservatory", "Library", "Hall", "Library", "Conservatory", "Conservatory", "Conservatory", "Ballroom", "Library", "Conservatory", "Lounge", "Hall", "Kitchen", "Ballroom", "Lounge", "Library"}

Returns: "Plum"
"Study"

52

{38, 48, 95, 174, 175, 209, 223, 235, 251, 253, 312, 331, 360, 380, 387, 422, 428, 444, 473, 476, 481, 508, 509, 510, 511, 520, 533, 548, 559, 568, 595, 608, 640, 665, 679, 765, 777, 795, 815, 823, 825, 836, 888, 899, 911, 932, 974}

{"White", "Peacock", "Green", "Green", "Peacock", "Mustard", "Scarlett", "Scarlett", "Green", "White", "Plum", "Mustard", "White", "Scarlett", "Scarlett", "Peacock", "Scarlett", "Scarlett", "Peacock", "Peacock", "Mustard", "Scarlett", "Plum", "Scarlett", "White", "Scarlett", "Scarlett", "Green", "White", "Green", "White", "Peacock", "Scarlett", "Peacock", "Plum", "Scarlett", "Mustard", "White", "White", "Scarlett", "Scarlett", "Mustard", "Peacock", "Mustard", "Plum", "Peacock", "Peacock"}

{"Cellar", "Ballroom", "Study", "Ballroom", "Ballroom", "Cellar", "Cellar", "Hall", "Lounge", "Library", "Lounge", "Study", "Hall", "Cellar", "Cellar", "Study", "Cellar", "Lounge", "Ballroom", "Conservatory", "Lounge", "Lounge", "Study", "Hall", "Cellar", "Study", "Kitchen", "Cellar", "Library", "Conservatory", "Kitchen", "Kitchen", "Hall", "Ballroom", "Cellar", "Library", "Lounge", "Kitchen", "Conservatory", "Cellar", "Conservatory", "Library", "Kitchen", "Conservatory", "Study", "Ballroom", "Kitchen"}

Returns: ""
"Conservatory"

193

{37, 40, 65, 67, 69, 164, 174, 176, 189, 196, 217, 221, 371, 405, 413, 452, 481, 493, 553, 567, 574, 590, 676, 712, 739, 740, 766, 767, 789, 790, 808, 817, 832, 873, 882, 902, 906, 916, 928, 938, 954, 955, 990}

{"Green", "Scarlett", "Scarlett", "White", "Mustard", "Peacock", "White", "Peacock", "Scarlett", "Plum", "Plum", "Plum", "Green", "Plum", "Green", "Peacock", "Scarlett", "Scarlett", "Green", "Mustard", "Plum", "Peacock", "Scarlett", "Scarlett", "Green", "Mustard", "Scarlett", "Green", "Peacock", "White", "White", "Scarlett", "Scarlett", "Mustard", "Mustard", "Green", "Green", "Scarlett", "White", "Mustard", "Plum", "Scarlett", "Green"}

{"Hall", "Ballroom", "Conservatory", "Study", "Lounge", "Kitchen", "Hall", "Ballroom", "Lounge", "Cellar", "Library", "Cellar", "Lounge", "Study", "Kitchen", "Cellar", "Cellar", "Cellar", "Study", "Kitchen", "Library", "Library", "Library", "Study", "Conservatory", "Hall", "Hall", "Hall", "Study", "Study", "Cellar", "Lounge", "Library", "Ballroom", "Kitchen", "Kitchen", "Library", "Conservatory", "Cellar", "Study", "Cellar", "Library", "Library"}

Returns: ""
"Hall"

556

{8, 21, 25, 40, 80, 118, 121, 126, 162, 168, 175, 192, 205, 214, 215, 243, 312, 328, 381, 393, 399, 410, 431, 437, 492, 495, 602, 611, 673, 678, 684, 692, 721, 738, 836, 853, 864, 875, 876, 879, 924, 936, 950}

{"Plum", "Mustard", "Green", "Green", "Scarlett", "Green", "Plum", "Scarlett", "Plum", "White", "Green", "Peacock", "White", "Mustard", "Plum", "Mustard", "Scarlett", "Plum", "Peacock", "Scarlett", "Green", "Green", "Mustard", "Green", "Peacock", "Scarlett", "Peacock", "Peacock", "White", "Green", "Scarlett", "Mustard", "White", "Green", "Scarlett", "Peacock", "Peacock", "Plum", "Mustard", "Mustard", "Green", "Mustard", "Scarlett"}

{"Study", "Lounge", "Kitchen", "Ballroom", "Hall", "Ballroom", "Study", "Cellar", "Lounge", "Study", "Lounge", "Lounge", "Conservatory", "Cellar", "Ballroom", "Lounge", "Kitchen", "Kitchen", "Library", "Lounge", "Conservatory", "Conservatory", "Lounge", "Hall", "Ballroom", "Kitchen", "Ballroom", "Library", "Library", "Lounge", "Cellar", "Hall", "Study", "Lounge", "Hall", "Hall", "Hall", "Hall", "Kitchen", "Hall", "Kitchen", "Kitchen", "Conservatory"}

Returns: "Green"
"Kitchen"

570

{3, 21, 29, 85, 87, 114, 191, 221, 224, 272, 309, 342, 456, 478, 486, 491, 511, 513, 519, 558, 588, 597, 610, 614, 635, 688, 701, 713, 789, 793, 819, 827, 853, 868, 879, 896, 924, 929, 951, 963, 985, 991}

{"White", "Plum", "Plum", "Green", "Mustard", "White", "Scarlett", "Plum", "Peacock", "Plum", "Peacock", "Mustard", "Green", "Peacock", "Plum", "Mustard", "Plum", "Scarlett", "Green", "Peacock", "Plum", "Peacock", "Plum", "Scarlett", "Peacock", "Plum", "Scarlett", "Peacock", "Plum", "White", "Green", "Mustard", "Green", "Scarlett", "Peacock", "Green", "White", "Peacock", "White", "Mustard", "Plum", "Peacock"}

{"Kitchen", "Library", "Hall", "Lounge", "Conservatory", "Cellar", "Conservatory", "Ballroom", "Hall", "Hall", "Cellar", "Ballroom", "Study", "Cellar", "Kitchen", "Study", "Lounge", "Conservatory", "Lounge", "Kitchen", "Library", "Lounge", "Study", "Ballroom", "Cellar", "Cellar", "Hall", "Cellar", "Conservatory", "Hall", "Cellar", "Library", "Hall", "Study", "Lounge", "Cellar", "Lounge", "Ballroom", "Kitchen", "Hall", "Lounge", "Library"}

Returns: "Peacock"
"Hall"

610

{56, 159, 172, 173, 186, 206, 211, 249, 263, 270, 296, 361, 366, 368, 382, 390, 405, 409, 431, 433, 451, 490, 510, 522, 542, 553, 555, 559, 581, 618, 634, 655, 681, 707, 724, 760, 780, 789, 796, 817, 820, 845, 847, 866, 869, 914, 961, 970, 976, 999}

{"Scarlett", "White", "Plum", "Scarlett", "Plum", "Peacock", "White", "Peacock", "Mustard", "Mustard", "Plum", "Plum", "Green", "Plum", "Green", "Peacock", "White", "White", "Peacock", "White", "Scarlett", "Scarlett", "Mustard", "White", "Mustard", "Plum", "Mustard", "Mustard", "Plum", "Peacock", "Peacock", "Plum", "Peacock", "White", "Peacock", "Mustard", "Plum", "Green", "Mustard", "Scarlett", "Green", "Plum", "Mustard", "Mustard", "White", "Peacock", "Peacock", "Peacock", "Mustard", "White"}

{"Study", "Conservatory", "Kitchen", "Cellar", "Kitchen", "Lounge", "Study", "Lounge", "Library", "Conservatory", "Study", "Conservatory", "Lounge", "Study", "Library", "Conservatory", "Lounge", "Cellar", "Lounge", "Lounge", "Kitchen", "Library", "Hall", "Hall", "Conservatory", "Cellar", "Hall", "Kitchen", "Study", "Library", "Study", "Conservatory", "Lounge", "Hall", "Cellar", "Study", "Lounge", "Library", "Ballroom", "Library", "Library", "Library", "Library", "Conservatory", "Library", "Cellar", "Lounge", "Hall", "Conservatory", "Cellar"}

Returns: "White"
"Library"

12

{54, 57, 72, 83, 87, 113, 122, 154, 156, 176, 202, 229, 232, 256, 278, 294, 302, 309, 323, 395, 405, 440, 483, 485, 497, 508, 525, 529, 535, 544, 583, 600, 675, 693, 700, 702, 742, 821, 879, 915, 922, 957}

{"Plum", "Plum", "Scarlett", "Plum", "Mustard", "Green", "Peacock", "Peacock", "White", "Plum", "Scarlett", "Plum", "Peacock", "Mustard", "Scarlett", "Scarlett", "Mustard", "Mustard", "Mustard", "Green", "White", "Plum", "Peacock", "White", "Green", "Peacock", "Plum", "Green", "Green", "Mustard", "Green", "Plum", "Green", "Green", "Scarlett", "Plum", "Plum", "Peacock", "White", "Peacock", "Peacock", "Mustard"}

{"Study", "Study", "Hall", "Hall", "Conservatory", "Hall", "Lounge", "Hall", "Kitchen", "Lounge", "Ballroom", "Study", "Cellar", "Study", "Library", "Lounge", "Study", "Study", "Kitchen", "Study", "Conservatory", "Cellar", "Hall", "Hall", "Lounge", "Hall", "Hall", "Kitchen", "Ballroom", "Hall", "Study", "Conservatory", "Library", "Study", "Library", "Study", "Library", "Kitchen", "Lounge", "Study", "Cellar", "Kitchen"}

Returns: ""
"Library"

390

{10, 57, 71, 114, 181, 193, 205, 221, 234, 254, 280, 288, 303, 322, 324, 378, 453, 454, 460, 466, 480, 508, 528, 529, 532, 544, 563, 584, 589, 626, 651, 684, 699, 708, 714, 742, 786, 836, 848, 850, 861, 868, 904, 925, 951, 965, 974}

{"Green", "Plum", "Green", "Plum", "Peacock", "Scarlett", "Green", "Mustard", "Mustard", "Scarlett", "Mustard", "Mustard", "Mustard", "Plum", "Mustard", "Mustard", "Peacock", "Plum", "Mustard", "Green", "Mustard", "White", "Mustard", "Mustard", "Green", "Plum", "Scarlett", "White", "Mustard", "Green", "Peacock", "Mustard", "White", "White", "Scarlett", "Scarlett", "Peacock", "White", "White", "Scarlett", "White", "Plum", "Peacock", "Scarlett", "Plum", "Mustard", "Peacock"}

{"Ballroom", "Kitchen", "Conservatory", "Ballroom", "Hall", "Kitchen", "Conservatory", "Cellar", "Ballroom", "Ballroom", "Conservatory", "Kitchen", "Library", "Library", "Lounge", "Lounge", "Lounge", "Lounge", "Conservatory", "Conservatory", "Lounge", "Lounge", "Cellar", "Ballroom", "Lounge", "Ballroom", "Study", "Conservatory", "Ballroom", "Study", "Hall", "Ballroom", "Hall", "Hall", "Hall", "Conservatory", "Library", "Ballroom", "Library", "Lounge", "Library", "Conservatory", "Kitchen", "Lounge", "Library", "Ballroom", "Kitchen"}

Returns: "Plum"
"Ballroom"

82

{6, 14, 95, 108, 131, 150, 169, 201, 275, 280, 281, 285, 305, 307, 316, 338, 354, 386, 418, 434, 461, 495, 519, 544, 551, 561, 619, 633, 659, 696, 706, 727, 749, 766, 777, 780, 845, 848, 888, 974, 999}

{"Peacock", "White", "White", "Green", "Mustard", "Mustard", "Mustard", "Peacock", "Peacock", "Plum", "Mustard", "White", "Mustard", "Mustard", "Scarlett", "White", "Scarlett", "Mustard", "White", "Scarlett", "Plum", "Scarlett", "Plum", "Peacock", "Scarlett", "Green", "Green", "Plum", "Scarlett", "Mustard", "Mustard", "Scarlett", "Peacock", "Green", "Plum", "Scarlett", "Green", "Green", "White", "Plum", "Green"}

{"Kitchen", "Library", "Kitchen", "Hall", "Kitchen", "Conservatory", "Kitchen", "Study", "Lounge", "Ballroom", "Library", "Cellar", "Hall", "Library", "Lounge", "Study", "Ballroom", "Hall", "Kitchen", "Cellar", "Cellar", "Kitchen", "Hall", "Lounge", "Kitchen", "Kitchen", "Hall", "Kitchen", "Cellar", "Kitchen", "Study", "Study", "Library", "Conservatory", "Study", "Library", "Conservatory", "Ballroom", "Library", "Hall", "Kitchen"}

Returns: ""
"Ballroom"

302

{7, 22, 55, 59, 70, 156, 182, 221, 239, 244, 265, 293, 311, 313, 327, 369, 372, 441, 447, 476, 478, 493, 519, 521, 531, 584, 586, 652, 664, 696, 770, 777, 808, 831, 838, 866, 871, 879, 892, 908, 925, 932, 972, 999}

{"Scarlett", "Mustard", "Peacock", "Mustard", "Mustard", "White", "Mustard", "White", "Green", "Scarlett", "Plum", "Mustard", "Green", "Green", "Plum", "Plum", "Mustard", "Peacock", "Peacock", "Scarlett", "Peacock", "Plum", "Peacock", "Peacock", "Peacock", "Scarlett", "Mustard", "Green", "Mustard", "Peacock", "Green", "Scarlett", "Scarlett", "Scarlett", "White", "Mustard", "Peacock", "Green", "Scarlett", "Scarlett", "Peacock", "White", "Plum", "Mustard"}

{"Kitchen", "Hall", "Kitchen", "Cellar", "Conservatory", "Conservatory", "Conservatory", "Kitchen", "Kitchen", "Library", "Ballroom", "Cellar", "Ballroom", "Cellar", "Lounge", "Kitchen", "Lounge", "Lounge", "Cellar", "Kitchen", "Kitchen", "Hall", "Conservatory", "Ballroom", "Study", "Library", "Library", "Library", "Lounge", "Hall", "Cellar", "Hall", "Library", "Hall", "Hall", "Kitchen", "Lounge", "Cellar", "Study", "Lounge", "Lounge", "Lounge", "Cellar", "Cellar"}

Returns: "Plum"
"Conservatory"

315

{19, 47, 93, 100, 205, 247, 262, 282, 323, 328, 329, 362, 371, 385, 395, 404, 461, 462, 472, 474, 483, 487, 515, 557, 563, 574, 590, 608, 677, 711, 757, 765, 787, 806, 811, 816, 830, 845, 906, 958, 964, 967, 996}

{"Scarlett", "White", "Mustard", "Peacock", "Plum", "Peacock", "White", "Scarlett", "Scarlett", "Scarlett", "Plum", "Green", "Scarlett", "Plum", "Green", "Mustard", "Mustard", "Scarlett", "Peacock", "White", "Peacock", "Plum", "Plum", "Green", "Scarlett", "Green", "Plum", "Mustard", "White", "Green", "Scarlett", "Mustard", "Plum", "Scarlett", "Peacock", "Peacock", "White", "Plum", "White", "Peacock", "White", "Scarlett", "Green"}

{"Hall", "Library", "Study", "Study", "Conservatory", "Study", "Hall", "Lounge", "Lounge", "Hall", "Cellar", "Conservatory", "Library", "Library", "Ballroom", "Study", "Lounge", "Cellar", "Library", "Library", "Hall", "Study", "Study", "Cellar", "Kitchen", "Study", "Ballroom", "Conservatory", "Cellar", "Hall", "Library", "Library", "Cellar", "Ballroom", "Kitchen", "Conservatory", "Library", "Ballroom", "Lounge", "Ballroom", "Lounge", "Lounge", "Study"}

Returns: "Plum"
"Hall"

287

{5, 32, 33, 58, 77, 90, 104, 115, 129, 133, 157, 163, 164, 189, 236, 238, 262, 270, 272, 281, 325, 329, 338, 441, 456, 538, 590, 620, 647, 712, 737, 750, 770, 789, 833, 860, 923, 925, 941, 945, 996}

{"White", "Peacock", "White", "Mustard", "Scarlett", "Peacock", "Peacock", "White", "Green", "Plum", "Green", "Green", "Peacock", "Plum", "Peacock", "White", "White", "White", "Plum", "White", "Green", "Peacock", "Green", "White", "Mustard", "Scarlett", "Scarlett", "Peacock", "White", "Mustard", "Plum", "Plum", "Green", "Plum", "Peacock", "Scarlett", "Scarlett", "Mustard", "Peacock", "Peacock", "White"}

{"Hall", "Lounge", "Library", "Conservatory", "Ballroom", "Ballroom", "Kitchen", "Lounge", "Study", "Ballroom", "Kitchen", "Kitchen", "Kitchen", "Study", "Library", "Hall", "Cellar", "Ballroom", "Study", "Hall", "Study", "Kitchen", "Conservatory", "Cellar", "Kitchen", "Library", "Library", "Cellar", "Study", "Kitchen", "Study", "Conservatory", "Hall", "Hall", "Study", "Lounge", "Kitchen", "Hall", "Ballroom", "Lounge", "Cellar"}

Returns: "White"
"Kitchen"

466

{50, 53, 61, 82, 85, 109, 118, 127, 166, 180, 187, 260, 262, 281, 311, 328, 366, 376, 385, 395, 451, 475, 497, 522, 528, 539, 564, 576, 579, 650, 659, 699, 704, 735, 777, 799, 831, 836, 840, 856, 880, 968, 980, 988}

{"Green", "Scarlett", "White", "Peacock", "Peacock", "Green", "Scarlett", "Plum", "White", "Plum", "Mustard", "Plum", "Plum", "Plum", "Scarlett", "Plum", "Plum", "Green", "Scarlett", "Plum", "Mustard", "White", "Mustard", "Plum", "Mustard", "Green", "White", "Plum", "Plum", "Mustard", "Peacock", "Peacock", "Peacock", "Green", "Mustard", "White", "Peacock", "White", "Peacock", "Plum", "Mustard", "Mustard", "White", "Plum"}

{"Kitchen", "Lounge", "Hall", "Hall", "Ballroom", "Conservatory", "Kitchen", "Ballroom", "Lounge", "Kitchen", "Library", "Hall", "Conservatory", "Conservatory", "Study", "Ballroom", "Study", "Ballroom", "Cellar", "Hall", "Hall", "Ballroom", "Ballroom", "Ballroom", "Conservatory", "Ballroom", "Study", "Ballroom", "Lounge", "Conservatory", "Conservatory", "Ballroom", "Conservatory", "Cellar", "Ballroom", "Ballroom", "Conservatory", "Library", "Study", "Hall", "Kitchen", "Library", "Cellar", "Hall"}

Returns: ""
"Hall"

799

{25, 30, 78, 91, 125, 138, 161, 182, 193, 211, 214, 222, 265, 294, 317, 326, 337, 379, 389, 437, 455, 462, 519, 523, 537, 560, 595, 610, 619, 631, 633, 677, 682, 686, 719, 728, 756, 768, 828, 838, 929, 935, 941, 982, 998}

{"White", "Mustard", "Scarlett", "Scarlett", "Scarlett", "Peacock", "Green", "Mustard", "Peacock", "Mustard", "White", "Scarlett", "Mustard", "Green", "Peacock", "Scarlett", "Scarlett", "Plum", "Scarlett", "Green", "White", "Green", "White", "Plum", "Green", "Plum", "Mustard", "Mustard", "Mustard", "White", "Scarlett", "White", "Scarlett", "Scarlett", "White", "White", "Plum", "Peacock", "White", "Plum", "Scarlett", "Scarlett", "Green", "Mustard", "White"}

{"Lounge", "Kitchen", "Lounge", "Ballroom", "Library", "Study", "Ballroom", "Study", "Lounge", "Conservatory", "Ballroom", "Lounge", "Conservatory", "Lounge", "Lounge", "Conservatory", "Lounge", "Ballroom", "Hall", "Study", "Conservatory", "Cellar", "Cellar", "Ballroom", "Lounge", "Kitchen", "Cellar", "Kitchen", "Conservatory", "Cellar", "Library", "Conservatory", "Library", "Conservatory", "Conservatory", "Hall", "Conservatory", "Ballroom", "Cellar", "Cellar", "Conservatory", "Hall", "Library", "Study", "Cellar"}

Returns: "White"
"Library"

387

{44, 52, 75, 86, 100, 116, 127, 175, 187, 222, 253, 281, 284, 337, 340, 351, 391, 426, 448, 478, 488, 494, 509, 519, 522, 534, 540, 557, 559, 577, 591, 597, 599, 630, 655, 667, 671, 674, 704, 713, 714, 754, 782, 787, 984}

{"Mustard", "White", "Plum", "Mustard", "Green", "Plum", "Mustard", "Scarlett", "Scarlett", "Mustard", "Peacock", "Mustard", "Plum", "White", "Plum", "Plum", "Green", "Green", "Plum", "Peacock", "Green", "White", "Scarlett", "White", "White", "Plum", "Scarlett", "Green", "Peacock", "Plum", "Peacock", "Peacock", "Peacock", "Peacock", "Scarlett", "Peacock", "Plum", "White", "Plum", "Green", "Plum", "Peacock", "Green", "Peacock", "Plum"}

{"Conservatory", "Hall", "Lounge", "Kitchen", "Study", "Lounge", "Conservatory", "Hall", "Cellar", "Kitchen", "Conservatory", "Hall", "Lounge", "Conservatory", "Conservatory", "Conservatory", "Conservatory", "Kitchen", "Kitchen", "Conservatory", "Kitchen", "Kitchen", "Library", "Cellar", "Cellar", "Study", "Ballroom", "Lounge", "Study", "Library", "Study", "Hall", "Library", "Cellar", "Study", "Kitchen", "Library", "Study", "Cellar", "Cellar", "Study", "Lounge", "Cellar", "Hall", "Study"}

Returns: ""
"Cellar"

369

{4, 13, 14, 60, 69, 94, 102, 103, 111, 114, 135, 189, 192, 194, 296, 307, 343, 345, 350, 357, 402, 421, 468, 501, 541, 579, 580, 584, 609, 630, 640, 679, 696, 700, 709, 749, 750, 759, 764, 833, 837, 844, 860, 896, 909, 924, 933, 946, 948, 961}

{"White", "Mustard", "White", "Plum", "Green", "Green", "Peacock", "Green", "Plum", "Mustard", "Peacock", "Green", "Green", "Scarlett", "Mustard", "Mustard", "Green", "Plum", "Green", "Scarlett", "Mustard", "Mustard", "Mustard", "White", "Mustard", "Peacock", "Plum", "Plum", "Green", "Green", "Green", "Scarlett", "Plum", "White", "Peacock", "Scarlett", "Plum", "Scarlett", "White", "White", "Scarlett", "White", "Green", "Scarlett", "Mustard", "Plum", "Scarlett", "Scarlett", "Scarlett", "White"}

{"Ballroom", "Cellar", "Hall", "Library", "Lounge", "Ballroom", "Ballroom", "Library", "Kitchen", "Cellar", "Study", "Hall", "Kitchen", "Lounge", "Hall", "Conservatory", "Lounge", "Conservatory", "Cellar", "Lounge", "Study", "Kitchen", "Hall", "Cellar", "Lounge", "Hall", "Library", "Ballroom", "Conservatory", "Kitchen", "Cellar", "Lounge", "Study", "Lounge", "Library", "Conservatory", "Study", "Cellar", "Conservatory", "Kitchen", "Library", "Cellar", "Hall", "Cellar", "Lounge", "Library", "Ballroom", "Kitchen", "Study", "Study"}

Returns: "Green"
"Cellar"

718

{40, 58, 76, 139, 190, 211, 224, 243, 251, 256, 257, 295, 308, 320, 326, 373, 384, 405, 406, 417, 484, 540, 565, 573, 577, 583, 587, 652, 696, 699, 704, 785, 794, 801, 886, 892, 913, 920, 938, 960, 972, 980, 983, 992}

{"Scarlett", "Peacock", "Scarlett", "White", "Scarlett", "Green", "Peacock", "White", "Scarlett", "White", "Peacock", "Plum", "Plum", "Green", "Green", "Mustard", "Green", "Green", "White", "White", "Green", "Scarlett", "Scarlett", "Mustard", "Peacock", "Green", "Green", "Peacock", "White", "Green", "Scarlett", "Mustard", "Plum", "Mustard", "Peacock", "Peacock", "Scarlett", "Plum", "Plum", "Scarlett", "Plum", "Plum", "Plum", "Scarlett"}

{"Cellar", "Ballroom", "Conservatory", "Ballroom", "Lounge", "Ballroom", "Ballroom", "Cellar", "Kitchen", "Ballroom", "Kitchen", "Kitchen", "Hall", "Study", "Study", "Library", "Lounge", "Ballroom", "Study", "Hall", "Study", "Library", "Lounge", "Hall", "Lounge", "Lounge", "Lounge", "Hall", "Conservatory", "Cellar", "Kitchen", "Lounge", "Kitchen", "Lounge", "Conservatory", "Kitchen", "Hall", "Conservatory", "Cellar", "Study", "Conservatory", "Kitchen", "Ballroom", "Study"}

Returns: "Green"
"Ballroom"

969

{15, 21, 49, 113, 139, 147, 178, 188, 195, 208, 213, 217, 227, 249, 291, 301, 330, 344, 355, 385, 411, 446, 465, 480, 486, 515, 580, 581, 586, 609, 619, 629, 645, 731, 761, 771, 779, 804, 809, 817, 943, 978, 996}

{"Green", "Green", "Plum", "Plum", "Scarlett", "Green", "Green", "Mustard", "Plum", "Green", "Green", "Peacock", "Green", "Mustard", "Peacock", "Mustard", "Mustard", "Green", "Peacock", "Plum", "Green", "Mustard", "Green", "Plum", "Plum", "Green", "White", "Green", "Plum", "Plum", "Plum", "Plum", "Green", "Plum", "Green", "Scarlett", "Plum", "Mustard", "Mustard", "Plum", "Mustard", "Peacock", "Plum"}

{"Ballroom", "Ballroom", "Conservatory", "Ballroom", "Conservatory", "Hall", "Lounge", "Kitchen", "Conservatory", "Study", "Library", "Kitchen", "Lounge", "Ballroom", "Kitchen", "Lounge", "Ballroom", "Library", "Lounge", "Library", "Lounge", "Lounge", "Ballroom", "Study", "Kitchen", "Conservatory", "Ballroom", "Study", "Library", "Kitchen", "Cellar", "Library", "Library", "Study", "Cellar", "Conservatory", "Kitchen", "Ballroom", "Kitchen", "Hall", "Study", "Hall", "Cellar"}

Returns: "White"
"Conservatory"

19

{27, 31, 52, 100, 131, 137, 148, 165, 178, 282, 284, 299, 324, 337, 341, 343, 345, 346, 348, 353, 355, 383, 387, 423, 517, 519, 539, 541, 568, 579, 586, 617, 635, 649, 684, 690, 712, 741, 757, 785, 795, 801, 802, 812, 869, 955}

{"Peacock", "White", "White", "Plum", "Scarlett", "Scarlett", "Mustard", "White", "Peacock", "Mustard", "White", "Green", "Plum", "Scarlett", "White", "Plum", "Green", "Plum", "Scarlett", "Mustard", "Peacock", "Plum", "White", "Scarlett", "White", "Scarlett", "Green", "Green", "Mustard", "Mustard", "Mustard", "Mustard", "Mustard", "Mustard", "Scarlett", "Peacock", "Green", "White", "Mustard", "Mustard", "Scarlett", "Peacock", "Green", "Scarlett", "Peacock", "Mustard"}

{"Conservatory", "Lounge", "Conservatory", "Conservatory", "Ballroom", "Study", "Ballroom", "Cellar", "Hall", "Study", "Ballroom", "Study", "Study", "Cellar", "Hall", "Library", "Library", "Lounge", "Ballroom", "Library", "Ballroom", "Lounge", "Conservatory", "Cellar", "Study", "Lounge", "Ballroom", "Ballroom", "Ballroom", "Study", "Lounge", "Cellar", "Ballroom", "Ballroom", "Study", "Library", "Conservatory", "Kitchen", "Cellar", "Hall", "Library", "Conservatory", "Ballroom", "Hall", "Lounge", "Lounge"}

Returns: ""
"Library"

580

{16, 39, 41, 63, 73, 74, 125, 134, 146, 157, 230, 267, 294, 334, 339, 367, 389, 425, 426, 437, 499, 533, 535, 545, 586, 605, 617, 692, 698, 732, 748, 801, 808, 810, 824, 847, 851, 857, 866, 929, 972, 975, 976}

{"Mustard", "Peacock", "Mustard", "White", "Mustard", "Peacock", "Plum", "Peacock", "Mustard", "Peacock", "Plum", "Green", "Peacock", "Scarlett", "Green", "Plum", "Mustard", "Green", "Mustard", "Mustard", "Scarlett", "Mustard", "Plum", "Scarlett", "Plum", "Scarlett", "Plum", "Mustard", "Peacock", "White", "White", "White", "Scarlett", "Scarlett", "Peacock", "White", "Peacock", "Mustard", "Mustard", "Green", "White", "Scarlett", "Scarlett"}

{"Study", "Study", "Ballroom", "Library", "Conservatory", "Library", "Cellar", "Ballroom", "Kitchen", "Hall", "Cellar", "Lounge", "Study", "Kitchen", "Hall", "Cellar", "Hall", "Hall", "Cellar", "Hall", "Hall", "Kitchen", "Cellar", "Library", "Library", "Ballroom", "Cellar", "Hall", "Conservatory", "Lounge", "Hall", "Cellar", "Cellar", "Hall", "Ballroom", "Cellar", "Ballroom", "Ballroom", "Lounge", "Conservatory", "Study", "Library", "Hall"}

Returns: ""
"Cellar"

364

{39, 41, 62, 117, 133, 156, 167, 186, 221, 236, 253, 288, 313, 334, 376, 377, 421, 445, 503, 525, 550, 560, 594, 599, 600, 630, 641, 654, 666, 671, 675, 676, 695, 698, 704, 713, 748, 766, 781, 788, 824, 854, 858, 880, 883, 899, 940, 962, 978, 984}

{"Peacock", "Plum", "Scarlett", "White", "Peacock", "Scarlett", "Mustard", "Scarlett", "Peacock", "Peacock", "White", "Green", "Plum", "Scarlett", "White", "Scarlett", "Mustard", "Mustard", "Scarlett", "Green", "Green", "Peacock", "Scarlett", "Peacock", "Green", "Peacock", "Scarlett", "Scarlett", "Mustard", "Peacock", "Scarlett", "Peacock", "Scarlett", "Peacock", "Plum", "Mustard", "Peacock", "Mustard", "Plum", "Scarlett", "Peacock", "Plum", "Green", "White", "Peacock", "Mustard", "Mustard", "Plum", "Scarlett", "Mustard"}

{"Cellar", "Conservatory", "Library", "Library", "Hall", "Lounge", "Library", "Study", "Library", "Hall", "Library", "Conservatory", "Cellar", "Kitchen", "Kitchen", "Kitchen", "Conservatory", "Conservatory", "Lounge", "Conservatory", "Kitchen", "Conservatory", "Ballroom", "Hall", "Hall", "Lounge", "Conservatory", "Hall", "Conservatory", "Conservatory", "Cellar", "Kitchen", "Conservatory", "Study", "Lounge", "Conservatory", "Lounge", "Hall", "Conservatory", "Conservatory", "Kitchen", "Lounge", "Study", "Cellar", "Conservatory", "Kitchen", "Lounge", "Lounge", "Ballroom", "Ballroom"}

Returns: "Plum"
"Kitchen"

335

{26, 38, 50, 80, 95, 150, 152, 197, 213, 273, 284, 301, 319, 405, 424, 446, 459, 480, 484, 490, 496, 528, 534, 535, 567, 579, 615, 631, 662, 682, 689, 693, 706, 714, 769, 817, 821, 857, 905, 911, 929, 937, 973}

{"Peacock", "Green", "White", "Mustard", "Mustard", "Scarlett", "Scarlett", "Green", "Scarlett", "Mustard", "Scarlett", "White", "Scarlett", "Green", "Mustard", "Peacock", "Mustard", "Scarlett", "Scarlett", "Mustard", "Scarlett", "Green", "Mustard", "Peacock", "Scarlett", "Scarlett", "Scarlett", "Scarlett", "Scarlett", "White", "Plum", "Plum", "Scarlett", "Peacock", "Peacock", "Peacock", "White", "Green", "Peacock", "Plum", "Scarlett", "Mustard", "Scarlett"}

{"Conservatory", "Study", "Hall", "Hall", "Hall", "Conservatory", "Lounge", "Library", "Conservatory", "Cellar", "Hall", "Library", "Library", "Lounge", "Conservatory", "Cellar", "Conservatory", "Kitchen", "Conservatory", "Cellar", "Hall", "Hall", "Library", "Conservatory", "Hall", "Ballroom", "Study", "Cellar", "Ballroom", "Hall", "Cellar", "Study", "Ballroom", "Hall", "Study", "Ballroom", "Cellar", "Lounge", "Conservatory", "Ballroom", "Ballroom", "Hall", "Ballroom"}

Returns: ""
"Conservatory"

714

{6, 64, 76, 79, 83, 96, 186, 223, 238, 241, 247, 297, 311, 349, 360, 375, 397, 398, 411, 454, 475, 482, 506, 518, 533, 598, 648, 651, 655, 742, 749, 755, 811, 827, 892, 928, 954, 955, 965, 982}

{"Scarlett", "Peacock", "White", "Peacock", "Plum", "Mustard", "Plum", "Peacock", "White", "Scarlett", "White", "Scarlett", "Peacock", "Plum", "White", "Green", "Green", "White", "Scarlett", "Green", "White", "Plum", "Green", "Mustard", "White", "Green", "Green", "Mustard", "Plum", "Mustard", "Plum", "Mustard", "Plum", "White", "Mustard", "Peacock", "Peacock", "Plum", "Scarlett", "Green"}

{"Cellar", "Kitchen", "Hall", "Ballroom", "Cellar", "Cellar", "Library", "Library", "Study", "Conservatory", "Study", "Lounge", "Lounge", "Ballroom", "Kitchen", "Kitchen", "Conservatory", "Conservatory", "Lounge", "Ballroom", "Cellar", "Conservatory", "Conservatory", "Lounge", "Conservatory", "Cellar", "Ballroom", "Cellar", "Lounge", "Ballroom", "Cellar", "Lounge", "Hall", "Kitchen", "Study", "Hall", "Ballroom", "Lounge", "Hall", "Library"}

Returns: "White"
"Lounge"

39

{42, 55, 61, 77, 95, 123, 148, 155, 188, 194, 202, 203, 247, 299, 317, 352, 400, 418, 420, 429, 434, 435, 459, 460, 461, 474, 505, 513, 540, 546, 554, 556, 618, 649, 704, 745, 767, 780, 823, 837, 849, 900, 907, 908, 926, 939, 942, 998}

{"Mustard", "Green", "Peacock", "Mustard", "Scarlett", "Mustard", "Scarlett", "Plum", "Plum", "Scarlett", "Scarlett", "Peacock", "Peacock", "Mustard", "Peacock", "White", "Mustard", "White", "Green", "White", "Green", "Scarlett", "Peacock", "Peacock", "Peacock", "Green", "Peacock", "White", "White", "Plum", "Scarlett", "Peacock", "Green", "Plum", "Peacock", "Green", "Scarlett", "Scarlett", "White", "Green", "Plum", "Green", "Plum", "Green", "Scarlett", "Scarlett", "White", "White"}

{"Conservatory", "Kitchen", "Kitchen", "Study", "Cellar", "Hall", "Conservatory", "Hall", "Cellar", "Kitchen", "Cellar", "Lounge", "Lounge", "Library", "Cellar", "Lounge", "Cellar", "Kitchen", "Kitchen", "Kitchen", "Study", "Kitchen", "Library", "Library", "Lounge", "Ballroom", "Cellar", "Study", "Study", "Study", "Study", "Conservatory", "Cellar", "Study", "Lounge", "Ballroom", "Library", "Study", "Ballroom", "Library", "Ballroom", "Ballroom", "Study", "Study", "Library", "Hall", "Lounge", "Conservatory"}

Returns: ""
"Study"

869

{3, 21, 46, 71, 83, 108, 120, 126, 176, 205, 207, 225, 227, 248, 298, 326, 333, 353, 382, 386, 408, 413, 425, 436, 446, 540, 560, 570, 600, 606, 634, 690, 694, 717, 719, 727, 743, 758, 778, 850, 855, 891, 893, 918, 932, 945, 959, 969}

{"Peacock", "Peacock", "Scarlett", "Mustard", "Green", "Plum", "Peacock", "Peacock", "Peacock", "White", "Plum", "Mustard", "White", "Mustard", "Peacock", "Peacock", "White", "Mustard", "Peacock", "White", "White", "Green", "White", "Plum", "White", "Plum", "Plum", "Peacock", "Plum", "Plum", "White", "Green", "Green", "Scarlett", "Green", "White", "White", "Green", "Green", "Peacock", "Scarlett", "Green", "White", "Scarlett", "Plum", "Plum", "Peacock", "Green"}

{"Hall", "Conservatory", "Lounge", "Library", "Kitchen", "Kitchen", "Hall", "Library", "Conservatory", "Cellar", "Study", "Lounge", "Hall", "Hall", "Conservatory", "Study", "Conservatory", "Study", "Study", "Cellar", "Lounge", "Cellar", "Conservatory", "Ballroom", "Hall", "Cellar", "Lounge", "Cellar", "Study", "Study", "Conservatory", "Cellar", "Kitchen", "Lounge", "Library", "Cellar", "Conservatory", "Lounge", "Library", "Study", "Ballroom", "Cellar", "Hall", "Kitchen", "Study", "Kitchen", "Hall", "Kitchen"}

Returns: ""
"Hall"

937

{2, 16, 20, 27, 44, 56, 60, 68, 78, 94, 114, 131, 150, 157, 162, 181, 192, 202, 279, 286, 292, 295, 296, 354, 392, 404, 429, 432, 466, 489, 513, 530, 535, 545, 601, 619, 644, 650, 657, 707, 715, 725, 756, 793, 803, 847, 862, 871, 946, 994}

{"Peacock", "Scarlett", "Mustard", "White", "White", "Green", "Plum", "Scarlett", "Mustard", "White", "Green", "White", "Plum", "Green", "White", "Plum", "Green", "Peacock", "Mustard", "White", "Scarlett", "White", "Green", "White", "Scarlett", "Mustard", "Plum", "Peacock", "Scarlett", "White", "Mustard", "Plum", "Mustard", "Plum", "Plum", "Mustard", "Green", "Mustard", "Green", "Scarlett", "Scarlett", "Scarlett", "Mustard", "White", "Mustard", "Green", "Plum", "Scarlett", "Scarlett", "Peacock"}

{"Lounge", "Lounge", "Cellar", "Ballroom", "Study", "Ballroom", "Library", "Library", "Hall", "Lounge", "Cellar", "Ballroom", "Kitchen", "Library", "Lounge", "Study", "Cellar", "Cellar", "Ballroom", "Hall", "Lounge", "Hall", "Kitchen", "Ballroom", "Conservatory", "Library", "Cellar", "Study", "Ballroom", "Conservatory", "Ballroom", "Cellar", "Kitchen", "Hall", "Lounge", "Conservatory", "Hall", "Conservatory", "Cellar", "Hall", "Lounge", "Ballroom", "Lounge", "Kitchen", "Study", "Library", "Ballroom", "Ballroom", "Hall", "Ballroom"}

Returns: ""
"Conservatory"

898

{16, 67, 87, 98, 116, 138, 166, 190, 195, 197, 232, 311, 342, 367, 368, 381, 382, 389, 393, 432, 437, 443, 455, 457, 484, 515, 531, 535, 609, 639, 656, 665, 667, 725, 762, 785, 791, 799, 871, 900, 925, 935, 945, 952, 959}

{"Plum", "Green", "White", "White", "Peacock", "Plum", "Green", "White", "Peacock", "Mustard", "Scarlett", "Scarlett", "White", "Plum", "White", "Peacock", "Peacock", "Peacock", "Plum", "Scarlett", "Plum", "Peacock", "Scarlett", "Mustard", "White", "Peacock", "Green", "Peacock", "White", "White", "White", "Plum", "Scarlett", "Scarlett", "Green", "Peacock", "Green", "Green", "Plum", "Mustard", "Plum", "Mustard", "Peacock", "Peacock", "Plum"}

{"Kitchen", "Study", "Conservatory", "Kitchen", "Library", "Ballroom", "Cellar", "Ballroom", "Library", "Lounge", "Kitchen", "Kitchen", "Cellar", "Cellar", "Hall", "Conservatory", "Study", "Kitchen", "Study", "Conservatory", "Cellar", "Conservatory", "Kitchen", "Kitchen", "Hall", "Conservatory", "Library", "Library", "Library", "Hall", "Lounge", "Kitchen", "Library", "Study", "Study", "Cellar", "Hall", "Conservatory", "Hall", "Hall", "Ballroom", "Lounge", "Lounge", "Lounge", "Ballroom"}

Returns: "Green"
"Study"

906

{5, 8, 30, 36, 53, 63, 77, 95, 110, 133, 196, 200, 246, 279, 283, 286, 296, 301, 374, 376, 382, 401, 407, 442, 496, 558, 560, 604, 625, 634, 690, 707, 711, 730, 765, 795, 839, 848, 869, 893, 922, 944, 981, 992}

{"Scarlett", "White", "Plum", "Mustard", "Scarlett", "Mustard", "Plum", "Plum", "Green", "Green", "Plum", "Scarlett", "Green", "Peacock", "Peacock", "Green", "Scarlett", "Green", "Mustard", "White", "Green", "Green", "Scarlett", "Green", "White", "Mustard", "Green", "Green", "Mustard", "Peacock", "White", "Plum", "Mustard", "Green", "Scarlett", "Scarlett", "Mustard", "White", "White", "Plum", "Scarlett", "Mustard", "Mustard", "Scarlett"}

{"Lounge", "Lounge", "Study", "Kitchen", "Study", "Ballroom", "Library", "Lounge", "Ballroom", "Ballroom", "Cellar", "Ballroom", "Kitchen", "Lounge", "Cellar", "Kitchen", "Hall", "Lounge", "Kitchen", "Cellar", "Cellar", "Study", "Lounge", "Ballroom", "Conservatory", "Hall", "Library", "Study", "Library", "Hall", "Conservatory", "Lounge", "Cellar", "Hall", "Study", "Ballroom", "Conservatory", "Ballroom", "Library", "Lounge", "Study", "Kitchen", "Lounge", "Kitchen"}

Returns: ""
"Ballroom"

348

{12, 20, 25, 53, 69, 76, 92, 126, 129, 197, 198, 213, 241, 288, 329, 355, 382, 384, 412, 413, 432, 449, 453, 455, 530, 541, 553, 563, 596, 636, 640, 698, 703, 755, 769, 784, 803, 806, 846, 848, 863, 889}

{"White", "Peacock", "White", "Peacock", "White", "Scarlett", "Plum", "Scarlett", "Scarlett", "White", "Peacock", "Mustard", "Peacock", "Mustard", "White", "White", "White", "White", "Plum", "Scarlett", "Mustard", "Scarlett", "White", "Green", "Scarlett", "Plum", "Plum", "Mustard", "White", "Plum", "Green", "Mustard", "Plum", "White", "Scarlett", "White", "Scarlett", "Mustard", "Scarlett", "White", "Green", "Scarlett"}

{"Library", "Ballroom", "Library", "Library", "Conservatory", "Library", "Conservatory", "Lounge", "Library", "Lounge", "Kitchen", "Hall", "Study", "Kitchen", "Library", "Hall", "Conservatory", "Ballroom", "Study", "Lounge", "Library", "Hall", "Cellar", "Library", "Study", "Lounge", "Library", "Conservatory", "Lounge", "Hall", "Library", "Conservatory", "Library", "Study", "Hall", "Study", "Hall", "Ballroom", "Lounge", "Library", "Study", "Hall"}

Returns: ""
"Kitchen"

506

{12, 40, 63, 82, 108, 111, 126, 127, 141, 160, 163, 167, 209, 227, 269, 296, 320, 358, 398, 407, 422, 430, 461, 463, 527, 559, 570, 588, 649, 666, 683, 725, 767, 787, 797, 841, 846, 855, 857, 879, 900, 915, 934, 957, 966, 973, 976}

{"Scarlett", "White", "Mustard", "Plum", "White", "Scarlett", "Green", "Green", "Peacock", "Scarlett", "Plum", "Green", "Green", "Scarlett", "White", "Plum", "Scarlett", "Plum", "Peacock", "Green", "Peacock", "Green", "Green", "Scarlett", "White", "Plum", "Mustard", "Green", "White", "Mustard", "Plum", "Peacock", "Green", "Mustard", "Scarlett", "Plum", "White", "White", "Green", "Peacock", "Peacock", "White", "Plum", "White", "Mustard", "Peacock", "Scarlett"}

{"Cellar", "Library", "Cellar", "Hall", "Kitchen", "Kitchen", "Kitchen", "Conservatory", "Study", "Study", "Kitchen", "Study", "Study", "Cellar", "Study", "Lounge", "Cellar", "Conservatory", "Hall", "Conservatory", "Kitchen", "Conservatory", "Ballroom", "Study", "Hall", "Hall", "Lounge", "Conservatory", "Hall", "Lounge", "Study", "Kitchen", "Lounge", "Library", "Ballroom", "Conservatory", "Kitchen", "Cellar", "Conservatory", "Hall", "Ballroom", "Ballroom", "Cellar", "Study", "Ballroom", "Library", "Library"}

Returns: "Peacock"
"Study"

674

{2, 9, 30, 33, 46, 68, 117, 155, 158, 199, 237, 242, 283, 295, 309, 352, 451, 480, 483, 507, 543, 557, 563, 575, 633, 660, 685, 719, 743, 749, 753, 754, 767, 779, 805, 841, 843, 844, 881, 882, 885, 918, 921, 938, 957, 975, 976, 995}

{"Green", "Plum", "White", "Plum", "Green", "Mustard", "Green", "Scarlett", "Mustard", "Scarlett", "Mustard", "Peacock", "Green", "Scarlett", "Plum", "White", "Scarlett", "Scarlett", "Green", "Plum", "Plum", "Green", "Scarlett", "Scarlett", "Green", "Green", "Mustard", "Mustard", "Peacock", "Plum", "Peacock", "White", "Scarlett", "Green", "Peacock", "Green", "Plum", "Green", "Peacock", "Scarlett", "Green", "Peacock", "Scarlett", "Mustard", "Plum", "Scarlett", "White", "Peacock"}

{"Library", "Study", "Cellar", "Ballroom", "Kitchen", "Kitchen", "Ballroom", "Cellar", "Hall", "Conservatory", "Library", "Library", "Ballroom", "Library", "Study", "Lounge", "Kitchen", "Library", "Lounge", "Kitchen", "Lounge", "Conservatory", "Hall", "Lounge", "Conservatory", "Kitchen", "Conservatory", "Kitchen", "Lounge", "Library", "Conservatory", "Conservatory", "Kitchen", "Hall", "Hall", "Conservatory", "Cellar", "Cellar", "Ballroom", "Conservatory", "Lounge", "Lounge", "Conservatory", "Ballroom", "Study", "Kitchen", "Lounge", "Ballroom"}

Returns: ""
"Study"

266

{9, 15, 39, 57, 63, 85, 113, 114, 139, 140, 275, 301, 310, 321, 358, 369, 398, 423, 438, 480, 505, 543, 550, 632, 653, 678, 729, 752, 756, 791, 801, 810, 824, 833, 845, 899, 922, 937, 966, 972, 976}

{"Peacock", "Plum", "Peacock", "Plum", "Mustard", "Plum", "Peacock", "Green", "Plum", "Plum", "Green", "Scarlett", "White", "White", "White", "Peacock", "Mustard", "Peacock", "White", "Mustard", "Scarlett", "Peacock", "Scarlett", "Plum", "Mustard", "Plum", "Peacock", "Green", "Green", "Green", "Scarlett", "Peacock", "Green", "White", "Scarlett", "White", "Mustard", "Mustard", "Green", "Green", "Peacock"}

{"Library", "Kitchen", "Study", "Ballroom", "Kitchen", "Lounge", "Hall", "Conservatory", "Hall", "Conservatory", "Lounge", "Cellar", "Kitchen", "Kitchen", "Hall", "Kitchen", "Lounge", "Hall", "Kitchen", "Conservatory", "Lounge", "Conservatory", "Lounge", "Lounge", "Library", "Hall", "Lounge", "Hall", "Kitchen", "Hall", "Ballroom", "Lounge", "Lounge", "Conservatory", "Lounge", "Cellar", "Conservatory", "Lounge", "Study", "Cellar", "Cellar"}

Returns: ""
"Cellar"

845

{13, 31, 46, 77, 132, 151, 153, 194, 206, 246, 293, 296, 303, 306, 322, 333, 390, 399, 460, 467, 470, 530, 545, 572, 636, 661, 669, 674, 676, 685, 695, 720, 759, 767, 773, 876, 881, 933, 941, 965, 978}

{"Green", "Mustard", "White", "Plum", "Plum", "Green", "Green", "White", "Peacock", "Green", "Peacock", "White", "Plum", "White", "Scarlett", "Mustard", "Plum", "White", "Peacock", "Green", "Mustard", "Peacock", "Green", "Mustard", "Plum", "Plum", "Plum", "White", "Mustard", "Plum", "Plum", "Scarlett", "Scarlett", "Plum", "Scarlett", "Green", "Scarlett", "Mustard", "Scarlett", "Scarlett", "Plum"}

{"Ballroom", "Lounge", "Lounge", "Hall", "Kitchen", "Lounge", "Library", "Ballroom", "Conservatory", "Kitchen", "Hall", "Study", "Hall", "Ballroom", "Cellar", "Study", "Hall", "Study", "Library", "Study", "Hall", "Kitchen", "Hall", "Study", "Cellar", "Hall", "Conservatory", "Kitchen", "Lounge", "Conservatory", "Hall", "Lounge", "Lounge", "Lounge", "Library", "Hall", "Cellar", "Study", "Library", "Kitchen", "Kitchen"}

Returns: ""
"Kitchen"

63

{32, 66, 79, 101, 102, 165, 168, 206, 217, 233, 238, 242, 269, 283, 303, 310, 370, 400, 406, 433, 440, 451, 452, 521, 558, 583, 649, 686, 700, 709, 712, 721, 729, 811, 873, 884, 886, 920, 967, 976, 993}

{"Mustard", "White", "Green", "Scarlett", "Peacock", "Mustard", "Mustard", "White", "Peacock", "Peacock", "Mustard", "Scarlett", "Green", "Green", "Peacock", "Peacock", "Peacock", "Mustard", "Plum", "Mustard", "White", "Mustard", "Green", "Scarlett", "Scarlett", "Mustard", "Peacock", "Mustard", "Plum", "White", "White", "Peacock", "Mustard", "Mustard", "White", "White", "Scarlett", "Green", "Mustard", "Peacock", "Green"}

{"Study", "Cellar", "Lounge", "Hall", "Study", "Hall", "Study", "Hall", "Hall", "Kitchen", "Kitchen", "Lounge", "Kitchen", "Ballroom", "Library", "Ballroom", "Library", "Kitchen", "Library", "Hall", "Library", "Ballroom", "Ballroom", "Lounge", "Cellar", "Ballroom", "Conservatory", "Conservatory", "Kitchen", "Study", "Cellar", "Conservatory", "Ballroom", "Study", "Study", "Cellar", "Kitchen", "Ballroom", "Lounge", "Cellar", "Conservatory"}

Returns: ""
"Hall"

312

{2, 3, 96, 99, 112, 143, 166, 198, 210, 214, 218, 236, 264, 293, 294, 309, 311, 331, 354, 368, 404, 472, 476, 509, 526, 531, 578, 608, 626, 627, 632, 654, 656, 663, 676, 701, 715, 720, 732, 776, 785, 806, 860, 882, 887, 903, 918, 964, 998}

{"Plum", "Scarlett", "Scarlett", "Peacock", "Peacock", "Peacock", "White", "White", "Scarlett", "Mustard", "Plum", "Green", "White", "Peacock", "Green", "Plum", "Peacock", "Plum", "Mustard", "Scarlett", "Peacock", "Plum", "Green", "Green", "Scarlett", "Mustard", "Plum", "Scarlett", "Plum", "Scarlett", "Mustard", "Plum", "White", "White", "Green", "Scarlett", "White", "Mustard", "Peacock", "Peacock", "Mustard", "Scarlett", "Peacock", "Mustard", "Plum", "Green", "Scarlett", "Mustard", "Scarlett"}

{"Hall", "Hall", "Conservatory", "Kitchen", "Cellar", "Kitchen", "Lounge", "Conservatory", "Conservatory", "Conservatory", "Ballroom", "Lounge", "Hall", "Library", "Library", "Hall", "Study", "Lounge", "Conservatory", "Library", "Kitchen", "Ballroom", "Lounge", "Cellar", "Library", "Ballroom", "Kitchen", "Study", "Lounge", "Library", "Lounge", "Cellar", "Cellar", "Ballroom", "Conservatory", "Study", "Lounge", "Ballroom", "Conservatory", "Library", "Ballroom", "Library", "Kitchen", "Hall", "Conservatory", "Library", "Ballroom", "Library", "Lounge"}

Returns: ""
"Library"

907

{15, 33, 39, 67, 81, 122, 157, 194, 241, 242, 259, 261, 285, 289, 311, 349, 382, 396, 398, 412, 474, 510, 515, 522, 524, 536, 540, 542, 562, 573, 602, 612, 649, 747, 815, 848, 860, 863, 897, 906, 911, 915, 917, 970, 984, 988, 994, 999}

{"Green", "Plum", "Mustard", "White", "Green", "Green", "Plum", "Scarlett", "Peacock", "Peacock", "Peacock", "Mustard", "White", "Green", "Mustard", "Mustard", "White", "White", "Scarlett", "Green", "Green", "Scarlett", "Mustard", "White", "Plum", "Mustard", "Green", "Mustard", "Plum", "White", "Mustard", "Green", "Peacock", "White", "Plum", "Scarlett", "Plum", "Plum", "Scarlett", "Plum", "Peacock", "White", "Green", "Plum", "Scarlett", "White", "Mustard", "White"}

{"Hall", "Lounge", "Ballroom", "Ballroom", "Study", "Cellar", "Cellar", "Study", "Hall", "Kitchen", "Kitchen", "Conservatory", "Cellar", "Ballroom", "Hall", "Library", "Cellar", "Study", "Library", "Library", "Hall", "Library", "Lounge", "Ballroom", "Ballroom", "Study", "Library", "Kitchen", "Hall", "Library", "Hall", "Kitchen", "Kitchen", "Study", "Study", "Ballroom", "Ballroom", "Cellar", "Lounge", "Conservatory", "Ballroom", "Study", "Library", "Library", "Hall", "Library", "Study", "Library"}

Returns: ""
"Conservatory"

510

{55, 72, 82, 103, 113, 153, 167, 168, 170, 171, 189, 193, 225, 254, 337, 368, 386, 409, 459, 462, 473, 525, 531, 549, 554, 573, 577, 581, 616, 628, 631, 640, 669, 682, 692, 699, 704, 762, 794, 813, 814, 830, 847, 896, 980}

{"Green", "Scarlett", "Plum", "Plum", "Mustard", "Green", "Green", "Mustard", "Scarlett", "Mustard", "Green", "Scarlett", "White", "Plum", "Plum", "Scarlett", "Mustard", "Green", "Scarlett", "Plum", "White", "White", "Green", "Green", "Plum", "Scarlett", "Mustard", "Peacock", "Scarlett", "Mustard", "Mustard", "Peacock", "Green", "Scarlett", "Mustard", "Mustard", "Plum", "Mustard", "Mustard", "Scarlett", "Peacock", "Plum", "Green", "Plum", "Peacock"}

{"Library", "Kitchen", "Library", "Library", "Cellar", "Library", "Study", "Library", "Cellar", "Study", "Hall", "Cellar", "Cellar", "Library", "Cellar", "Ballroom", "Study", "Library", "Kitchen", "Ballroom", "Hall", "Hall", "Ballroom", "Conservatory", "Cellar", "Ballroom", "Conservatory", "Cellar", "Ballroom", "Lounge", "Ballroom", "Library", "Kitchen", "Lounge", "Kitchen", "Lounge", "Library", "Hall", "Ballroom", "Ballroom", "Hall", "Hall", "Conservatory", "Ballroom", "Hall"}

Returns: ""
"Library"

533

{1, 62, 65, 79, 93, 115, 143, 168, 227, 277, 279, 306, 338, 342, 366, 391, 432, 448, 452, 454, 462, 508, 525, 526, 552, 577, 591, 605, 609, 621, 735, 744, 769, 809, 827, 870, 881, 913, 962, 970, 981, 996}

{"White", "Mustard", "Mustard", "Mustard", "Scarlett", "White", "Mustard", "Plum", "Scarlett", "Scarlett", "White", "Mustard", "Peacock", "Plum", "White", "Green", "White", "Scarlett", "Peacock", "Plum", "White", "Peacock", "White", "White", "Green", "Green", "Plum", "Mustard", "White", "White", "Mustard", "Plum", "Scarlett", "Peacock", "Plum", "Mustard", "Mustard", "Peacock", "Scarlett", "Plum", "Mustard", "Mustard"}

{"Hall", "Ballroom", "Hall", "Cellar", "Kitchen", "Hall", "Study", "Kitchen", "Lounge", "Conservatory", "Ballroom", "Library", "Ballroom", "Library", "Ballroom", "Lounge", "Cellar", "Lounge", "Hall", "Kitchen", "Hall", "Cellar", "Hall", "Library", "Lounge", "Conservatory", "Cellar", "Hall", "Kitchen", "Library", "Lounge", "Conservatory", "Library", "Study", "Library", "Kitchen", "Conservatory", "Lounge", "Library", "Kitchen", "Ballroom", "Cellar"}

Returns: ""
"Lounge"

850

{5, 37, 97, 105, 141, 150, 217, 230, 231, 292, 298, 374, 381, 388, 399, 411, 420, 427, 473, 508, 517, 541, 551, 560, 565, 578, 603, 616, 635, 656, 669, 673, 676, 784, 806, 822, 825, 828, 831, 886, 890, 900, 909, 986, 987}

{"Green", "Green", "Plum", "Mustard", "Scarlett", "Mustard", "White", "White", "Green", "White", "Green", "Plum", "Peacock", "Mustard", "Scarlett", "White", "Scarlett", "Mustard", "Peacock", "Mustard", "Peacock", "Plum", "Green", "Scarlett", "Green", "Peacock", "Scarlett", "Scarlett", "Mustard", "Mustard", "Green", "Scarlett", "Scarlett", "Green", "Scarlett", "Mustard", "White", "Scarlett", "Green", "White", "White", "White", "Green", "Scarlett", "Peacock"}

{"Ballroom", "Kitchen", "Hall", "Cellar", "Kitchen", "Conservatory", "Ballroom", "Lounge", "Library", "Kitchen", "Conservatory", "Hall", "Kitchen", "Study", "Kitchen", "Lounge", "Cellar", "Conservatory", "Cellar", "Library", "Study", "Conservatory", "Conservatory", "Kitchen", "Library", "Study", "Lounge", "Study", "Hall", "Hall", "Study", "Ballroom", "Conservatory", "Kitchen", "Conservatory", "Lounge", "Study", "Ballroom", "Library", "Lounge", "Conservatory", "Kitchen", "Study", "Cellar", "Cellar"}

Returns: "Mustard"
"Lounge"

412

{26, 42, 43, 44, 76, 118, 148, 160, 183, 207, 210, 222, 266, 298, 312, 318, 329, 358, 366, 395, 432, 503, 517, 527, 556, 573, 577, 586, 596, 645, 691, 758, 762, 775, 784, 811, 818, 829, 855, 862, 865, 870, 883, 912, 973, 994}

{"Peacock", "Peacock", "Mustard", "Plum", "Plum", "Plum", "Mustard", "Scarlett", "Peacock", "White", "White", "Peacock", "Plum", "Peacock", "Green", "Peacock", "Scarlett", "Plum", "White", "Peacock", "Plum", "Scarlett", "Peacock", "Scarlett", "Scarlett", "White", "Peacock", "Plum", "Plum", "Scarlett", "Scarlett", "Plum", "Green", "Scarlett", "Plum", "Plum", "Peacock", "White", "White", "Peacock", "Peacock", "Scarlett", "Scarlett", "Mustard", "Peacock", "White"}

{"Lounge", "Kitchen", "Hall", "Study", "Lounge", "Lounge", "Kitchen", "Hall", "Hall", "Conservatory", "Library", "Ballroom", "Study", "Conservatory", "Lounge", "Library", "Study", "Lounge", "Library", "Cellar", "Ballroom", "Hall", "Conservatory", "Library", "Study", "Lounge", "Study", "Hall", "Ballroom", "Ballroom", "Hall", "Cellar", "Conservatory", "Cellar", "Cellar", "Study", "Hall", "Library", "Study", "Cellar", "Study", "Study", "Kitchen", "Library", "Kitchen", "Library"}

Returns: ""
"Hall"

379

{18, 43, 54, 65, 84, 130, 155, 158, 179, 193, 204, 215, 235, 242, 243, 263, 415, 437, 488, 492, 496, 519, 553, 579, 591, 597, 601, 607, 626, 627, 635, 644, 645, 667, 684, 736, 740, 742, 748, 778, 780, 831, 877, 878, 925, 931, 944}

{"Mustard", "Mustard", "Scarlett", "White", "Plum", "Plum", "Scarlett", "Green", "Scarlett", "Peacock", "Peacock", "Plum", "White", "Peacock", "Plum", "Green", "Green", "Green", "Green", "White", "Scarlett", "Peacock", "Green", "Green", "Green", "Scarlett", "Plum", "Plum", "Peacock", "Peacock", "Mustard", "Mustard", "Mustard", "Plum", "Peacock", "Mustard", "Green", "Scarlett", "Mustard", "Plum", "Plum", "Mustard", "Mustard", "Mustard", "White", "Green", "Peacock"}

{"Hall", "Ballroom", "Study", "Cellar", "Ballroom", "Study", "Hall", "Library", "Kitchen", "Library", "Ballroom", "Kitchen", "Conservatory", "Conservatory", "Library", "Library", "Ballroom", "Hall", "Lounge", "Conservatory", "Cellar", "Ballroom", "Cellar", "Conservatory", "Cellar", "Conservatory", "Lounge", "Ballroom", "Conservatory", "Lounge", "Conservatory", "Ballroom", "Ballroom", "Ballroom", "Conservatory", "Kitchen", "Cellar", "Kitchen", "Library", "Kitchen", "Conservatory", "Study", "Cellar", "Conservatory", "Kitchen", "Library", "Conservatory"}

Returns: ""
"Hall"

54

{8, 79, 88, 98, 111, 119, 151, 155, 166, 187, 198, 199, 245, 250, 260, 336, 412, 414, 444, 454, 470, 507, 514, 528, 580, 605, 619, 632, 636, 640, 643, 655, 681, 695, 699, 709, 734, 736, 742, 782, 799, 818, 881, 934}

{"Green", "Green", "Mustard", "Green", "Scarlett", "Plum", "Mustard", "Peacock", "White", "Scarlett", "Green", "Peacock", "Green", "Green", "White", "Plum", "Plum", "White", "Peacock", "Plum", "Plum", "White", "Mustard", "Green", "Scarlett", "Scarlett", "White", "Scarlett", "White", "Green", "Peacock", "White", "Mustard", "Mustard", "Scarlett", "White", "Scarlett", "Plum", "White", "Scarlett", "Scarlett", "Peacock", "Peacock", "Peacock"}

{"Conservatory", "Lounge", "Library", "Conservatory", "Ballroom", "Library", "Conservatory", "Kitchen", "Conservatory", "Ballroom", "Conservatory", "Lounge", "Cellar", "Lounge", "Ballroom", "Lounge", "Library", "Lounge", "Study", "Ballroom", "Kitchen", "Hall", "Lounge", "Library", "Hall", "Kitchen", "Cellar", "Cellar", "Ballroom", "Study", "Hall", "Conservatory", "Hall", "Study", "Conservatory", "Library", "Lounge", "Study", "Study", "Study", "Lounge", "Kitchen", "Cellar", "Lounge"}

Returns: ""
"Cellar"

988

{40, 80, 91, 116, 130, 135, 137, 147, 194, 254, 268, 272, 280, 302, 309, 329, 331, 337, 354, 359, 420, 459, 461, 500, 515, 525, 544, 556, 570, 579, 580, 595, 602, 611, 650, 688, 758, 785, 791, 837, 894, 902, 917, 960, 969, 980, 995}

{"Green", "Mustard", "Green", "Peacock", "Peacock", "Scarlett", "White", "Green", "White", "White", "Green", "Mustard", "Mustard", "Peacock", "Scarlett", "Scarlett", "Scarlett", "Scarlett", "Green", "Plum", "Scarlett", "Peacock", "Peacock", "Peacock", "Peacock", "Scarlett", "White", "Plum", "Peacock", "Peacock", "Scarlett", "Green", "Mustard", "White", "Plum", "Peacock", "Plum", "Scarlett", "Mustard", "Peacock", "Scarlett", "Green", "Scarlett", "Plum", "Green", "Plum", "Green"}

{"Ballroom", "Conservatory", "Lounge", "Lounge", "Ballroom", "Kitchen", "Lounge", "Library", "Kitchen", "Library", "Kitchen", "Study", "Hall", "Ballroom", "Hall", "Library", "Hall", "Study", "Kitchen", "Hall", "Hall", "Lounge", "Study", "Ballroom", "Lounge", "Kitchen", "Study", "Ballroom", "Study", "Kitchen", "Library", "Lounge", "Cellar", "Hall", "Cellar", "Cellar", "Cellar", "Ballroom", "Kitchen", "Study", "Lounge", "Library", "Kitchen", "Cellar", "Conservatory", "Cellar", "Hall"}

Returns: "Plum"
"Library"

822

{34, 39, 41, 47, 98, 103, 107, 130, 135, 154, 163, 167, 183, 198, 201, 217, 224, 280, 314, 360, 370, 385, 410, 456, 486, 551, 615, 656, 677, 683, 709, 759, 762, 775, 800, 814, 816, 823, 851, 867, 874, 887, 903, 910, 912, 925, 989}

{"Scarlett", "White", "Scarlett", "Scarlett", "Mustard", "White", "White", "Mustard", "White", "Plum", "White", "Peacock", "Plum", "Green", "Plum", "Green", "White", "White", "Plum", "Scarlett", "White", "White", "Scarlett", "White", "Scarlett", "White", "Green", "Peacock", "Peacock", "Plum", "Green", "Plum", "Mustard", "White", "Peacock", "Peacock", "Scarlett", "Mustard", "Plum", "White", "Mustard", "Green", "Mustard", "Plum", "Plum", "Green", "Scarlett"}

{"Conservatory", "Kitchen", "Kitchen", "Conservatory", "Lounge", "Study", "Conservatory", "Study", "Hall", "Kitchen", "Library", "Kitchen", "Study", "Ballroom", "Conservatory", "Lounge", "Ballroom", "Cellar", "Cellar", "Hall", "Study", "Ballroom", "Cellar", "Lounge", "Kitchen", "Conservatory", "Lounge", "Library", "Ballroom", "Study", "Study", "Kitchen", "Ballroom", "Library", "Cellar", "Hall", "Ballroom", "Hall", "Cellar", "Lounge", "Ballroom", "Kitchen", "Cellar", "Kitchen", "Hall", "Library", "Ballroom"}

Returns: "White"
"Kitchen"

919

{2, 18, 21, 51, 58, 63, 78, 87, 103, 106, 184, 185, 213, 253, 278, 304, 307, 312, 354, 390, 392, 399, 403, 433, 451, 476, 506, 548, 574, 582, 587, 620, 651, 653, 666, 678, 729, 743, 744, 745, 867, 884, 904, 916, 933, 957, 976, 979, 994}

{"Mustard", "Peacock", "Green", "Mustard", "Plum", "Peacock", "Plum", "Scarlett", "Plum", "Plum", "Mustard", "Plum", "Scarlett", "Scarlett", "Mustard", "White", "Mustard", "Mustard", "White", "White", "Mustard", "Plum", "White", "Scarlett", "Scarlett", "Plum", "Plum", "Plum", "Scarlett", "White", "Green", "Mustard", "Green", "Scarlett", "Mustard", "Plum", "Scarlett", "Scarlett", "White", "Peacock", "Green", "White", "Scarlett", "Peacock", "Green", "White", "Plum", "Green", "Peacock"}

{"Ballroom", "Conservatory", "Library", "Hall", "Cellar", "Library", "Cellar", "Lounge", "Kitchen", "Study", "Library", "Library", "Hall", "Kitchen", "Hall", "Study", "Library", "Lounge", "Ballroom", "Library", "Conservatory", "Lounge", "Hall", "Lounge", "Study", "Library", "Conservatory", "Hall", "Hall", "Study", "Study", "Cellar", "Ballroom", "Lounge", "Kitchen", "Hall", "Library", "Cellar", "Study", "Study", "Hall", "Cellar", "Library", "Conservatory", "Ballroom", "Hall", "Lounge", "Conservatory", "Library"}

Returns: "Mustard"
"Lounge"

957

{32, 35, 56, 61, 113, 129, 149, 165, 201, 202, 226, 233, 240, 244, 285, 331, 332, 337, 345, 385, 386, 387, 412, 432, 470, 491, 534, 551, 556, 577, 597, 615, 625, 695, 741, 757, 778, 786, 875, 885, 891, 897, 902, 956, 984}

{"Mustard", "Scarlett", "Mustard", "Scarlett", "Mustard", "Plum", "Peacock", "Scarlett", "Peacock", "Plum", "White", "Plum", "Peacock", "White", "Mustard", "White", "Peacock", "Mustard", "Mustard", "Scarlett", "Plum", "Scarlett", "Peacock", "Peacock", "Plum", "Green", "Mustard", "Scarlett", "Peacock", "Plum", "White", "Mustard", "White", "White", "Green", "Scarlett", "Mustard", "Mustard", "Scarlett", "White", "Green", "White", "Plum", "Plum", "Mustard"}

{"Cellar", "Kitchen", "Hall", "Conservatory", "Lounge", "Ballroom", "Kitchen", "Conservatory", "Lounge", "Conservatory", "Study", "Conservatory", "Conservatory", "Hall", "Kitchen", "Ballroom", "Library", "Hall", "Hall", "Lounge", "Cellar", "Kitchen", "Conservatory", "Library", "Ballroom", "Kitchen", "Conservatory", "Conservatory", "Library", "Kitchen", "Ballroom", "Cellar", "Kitchen", "Kitchen", "Cellar", "Kitchen", "Conservatory", "Lounge", "Study", "Hall", "Conservatory", "Hall", "Cellar", "Kitchen", "Ballroom"}

Returns: "Mustard"
"Library"

125

{1, 11, 75, 77, 87, 88, 117, 154, 178, 276, 285, 316, 325, 367, 378, 385, 390, 404, 433, 442, 451, 489, 507, 516, 526, 532, 538, 549, 559, 585, 658, 721, 756, 765, 805, 807, 849, 883, 890, 902, 906, 939, 952, 967, 994}

{"Plum", "Mustard", "Green", "Green", "Peacock", "Peacock", "Green", "Scarlett", "White", "Peacock", "Peacock", "Mustard", "Peacock", "White", "White", "Mustard", "Plum", "White", "White", "Mustard", "Plum", "Plum", "Scarlett", "Peacock", "Green", "Plum", "Peacock", "White", "Mustard", "White", "White", "Mustard", "Mustard", "Plum", "Scarlett", "Mustard", "Scarlett", "White", "White", "Scarlett", "Green", "White", "Scarlett", "White", "Mustard"}

{"Cellar", "Cellar", "Library", "Kitchen", "Hall", "Lounge", "Conservatory", "Ballroom", "Cellar", "Conservatory", "Conservatory", "Library", "Conservatory", "Lounge", "Library", "Study", "Library", "Cellar", "Kitchen", "Study", "Kitchen", "Kitchen", "Kitchen", "Kitchen", "Library", "Hall", "Kitchen", "Cellar", "Conservatory", "Ballroom", "Hall", "Ballroom", "Study", "Cellar", "Cellar", "Ballroom", "Ballroom", "Cellar", "Study", "Conservatory", "Study", "Study", "Kitchen", "Conservatory", "Conservatory"}

Returns: ""
"Kitchen"

966

{23, 35, 60, 102, 104, 112, 116, 131, 140, 163, 168, 202, 209, 217, 234, 272, 278, 319, 320, 331, 333, 336, 344, 387, 399, 439, 474, 506, 508, 509, 545, 588, 619, 647, 665, 712, 718, 719, 724, 740, 802, 850, 878, 887, 888, 976, 988}

{"Peacock", "Scarlett", "Peacock", "Green", "Mustard", "Peacock", "White", "Green", "Scarlett", "Scarlett", "Plum", "Plum", "Plum", "Scarlett", "Scarlett", "Peacock", "Mustard", "Green", "Mustard", "Scarlett", "Green", "White", "Mustard", "Mustard", "Scarlett", "Green", "Mustard", "White", "Peacock", "White", "Plum", "Peacock", "White", "Green", "Plum", "White", "Mustard", "Plum", "Scarlett", "Peacock", "Mustard", "Scarlett", "Plum", "Mustard", "Scarlett", "Plum", "White"}

{"Lounge", "Lounge", "Ballroom", "Study", "Cellar", "Study", "Kitchen", "Conservatory", "Cellar", "Conservatory", "Ballroom", "Hall", "Ballroom", "Lounge", "Lounge", "Cellar", "Conservatory", "Study", "Cellar", "Cellar", "Ballroom", "Study", "Ballroom", "Ballroom", "Lounge", "Study", "Hall", "Lounge", "Conservatory", "Hall", "Study", "Library", "Cellar", "Kitchen", "Library", "Conservatory", "Conservatory", "Kitchen", "Cellar", "Hall", "Cellar", "Hall", "Lounge", "Study", "Hall", "Hall", "Library"}

Returns: "Green"
"Library"

519

{21, 25, 30, 35, 41, 50, 162, 171, 201, 239, 275, 296, 310, 327, 361, 395, 425, 427, 478, 561, 580, 614, 660, 679, 682, 687, 703, 721, 744, 746, 753, 779, 784, 797, 820, 824, 838, 839, 853, 868, 875, 902, 914, 918, 950, 999}

{"Peacock", "Green", "White", "Plum", "Green", "Green", "Scarlett", "Green", "Green", "Green", "Mustard", "Mustard", "Green", "White", "White", "Scarlett", "Scarlett", "White", "Scarlett", "Scarlett", "Mustard", "Scarlett", "Peacock", "Plum", "Mustard", "White", "Scarlett", "Mustard", "Plum", "Green", "White", "Plum", "Plum", "Green", "White", "White", "Plum", "White", "White", "Scarlett", "Green", "Scarlett", "Plum", "Scarlett", "White", "Scarlett"}

{"Library", "Ballroom", "Study", "Conservatory", "Lounge", "Hall", "Ballroom", "Ballroom", "Library", "Study", "Study", "Cellar", "Kitchen", "Kitchen", "Hall", "Library", "Cellar", "Library", "Library", "Kitchen", "Cellar", "Cellar", "Lounge", "Library", "Library", "Hall", "Ballroom", "Lounge", "Kitchen", "Kitchen", "Conservatory", "Cellar", "Ballroom", "Kitchen", "Hall", "Study", "Study", "Study", "Conservatory", "Hall", "Library", "Lounge", "Kitchen", "Cellar", "Lounge", "Cellar"}

Returns: ""
"Kitchen"

823

{19, 34, 83, 90, 124, 161, 169, 170, 187, 194, 206, 218, 255, 274, 281, 314, 319, 329, 335, 360, 362, 465, 517, 526, 532, 535, 619, 627, 652, 683, 742, 754, 806, 807, 817, 828, 838, 868, 892, 896, 904, 968}

{"Mustard", "Peacock", "Green", "White", "Scarlett", "Scarlett", "Mustard", "Plum", "Peacock", "Green", "Plum", "Peacock", "Mustard", "Scarlett", "White", "Green", "Scarlett", "Plum", "White", "Green", "Peacock", "Scarlett", "Green", "Mustard", "White", "White", "Mustard", "Plum", "Scarlett", "Peacock", "Green", "Green", "Plum", "Green", "Mustard", "Scarlett", "White", "Peacock", "Plum", "Mustard", "White", "Green"}

{"Hall", "Lounge", "Lounge", "Lounge", "Study", "Library", "Hall", "Ballroom", "Cellar", "Library", "Ballroom", "Study", "Library", "Ballroom", "Cellar", "Conservatory", "Ballroom", "Lounge", "Library", "Study", "Hall", "Ballroom", "Cellar", "Ballroom", "Lounge", "Cellar", "Kitchen", "Cellar", "Library", "Conservatory", "Library", "Kitchen", "Conservatory", "Lounge", "Lounge", "Ballroom", "Library", "Library", "Conservatory", "Study", "Conservatory", "Cellar"}

Returns: ""
"Kitchen"

431

{2, 9, 79, 136, 164, 202, 203, 247, 279, 299, 302, 318, 321, 323, 342, 349, 355, 370, 384, 403, 426, 448, 456, 481, 531, 554, 561, 564, 660, 671, 696, 711, 713, 722, 779, 827, 828, 849, 882, 905, 919, 929, 930, 941, 955, 970, 993}

{"Peacock", "Green", "Green", "Mustard", "Mustard", "White", "White", "Green", "Peacock", "Scarlett", "Scarlett", "Mustard", "Peacock", "Peacock", "White", "Mustard", "Plum", "Mustard", "Green", "Mustard", "Green", "Scarlett", "Plum", "Peacock", "Plum", "Scarlett", "Mustard", "Green", "Mustard", "Peacock", "Mustard", "Plum", "White", "Green", "Plum", "Scarlett", "White", "Peacock", "Plum", "Scarlett", "Peacock", "Mustard", "Green", "Scarlett", "Green", "Green", "Scarlett"}

{"Ballroom", "Cellar", "Hall", "Lounge", "Kitchen", "Ballroom", "Lounge", "Kitchen", "Cellar", "Lounge", "Ballroom", "Study", "Cellar", "Study", "Cellar", "Hall", "Cellar", "Library", "Kitchen", "Kitchen", "Kitchen", "Library", "Cellar", "Kitchen", "Library", "Kitchen", "Lounge", "Hall", "Library", "Library", "Library", "Study", "Lounge", "Ballroom", "Kitchen", "Study", "Study", "Study", "Hall", "Conservatory", "Study", "Conservatory", "Conservatory", "Cellar", "Library", "Kitchen", "Cellar"}

Returns: ""
"Ballroom"

821

{8, 34, 60, 77, 106, 150, 161, 188, 189, 200, 236, 242, 246, 255, 259, 334, 350, 365, 421, 436, 485, 514, 535, 603, 623, 679, 708, 713, 743, 763, 792, 808, 868, 879, 880, 882, 885, 889, 894, 902, 921, 931, 959}

{"Green", "Green", "Scarlett", "Green", "Scarlett", "Mustard", "Mustard", "White", "White", "White", "White", "Plum", "Peacock", "Peacock", "Mustard", "Mustard", "Mustard", "Green", "White", "Peacock", "Green", "Mustard", "Plum", "Scarlett", "Green", "Peacock", "White", "Plum", "Plum", "Green", "Scarlett", "Peacock", "Scarlett", "White", "Mustard", "Green", "Scarlett", "Plum", "Peacock", "Plum", "Scarlett", "Plum", "Peacock"}

{"Cellar", "Lounge", "Conservatory", "Library", "Kitchen", "Ballroom", "Hall", "Hall", "Hall", "Library", "Kitchen", "Hall", "Conservatory", "Ballroom", "Hall", "Ballroom", "Lounge", "Kitchen", "Study", "Ballroom", "Library", "Ballroom", "Lounge", "Hall", "Library", "Library", "Study", "Cellar", "Library", "Library", "Ballroom", "Kitchen", "Kitchen", "Hall", "Kitchen", "Lounge", "Kitchen", "Conservatory", "Kitchen", "Lounge", "Study", "Hall", "Lounge"}

Returns: ""
"Study"

393

{36, 40, 49, 79, 84, 86, 100, 127, 175, 196, 286, 292, 294, 299, 300, 329, 334, 382, 391, 394, 409, 418, 433, 459, 482, 531, 551, 569, 574, 610, 674, 695, 701, 704, 775, 783, 784, 815, 832, 863, 873, 882, 894, 918, 924, 954, 956}

{"Scarlett", "White", "Peacock", "Scarlett", "Plum", "Green", "Green", "Scarlett", "Peacock", "Plum", "Mustard", "Peacock", "Mustard", "Mustard", "Scarlett", "Mustard", "Peacock", "Plum", "Green", "White", "White", "Peacock", "Scarlett", "Green", "Plum", "White", "Green", "Mustard", "White", "Peacock", "White", "Plum", "Scarlett", "White", "Scarlett", "Peacock", "Plum", "Plum", "Plum", "Green", "Peacock", "Scarlett", "Peacock", "Peacock", "Scarlett", "Green", "Peacock"}

{"Cellar", "Library", "Hall", "Ballroom", "Lounge", "Cellar", "Conservatory", "Ballroom", "Kitchen", "Cellar", "Hall", "Study", "Kitchen", "Lounge", "Kitchen", "Study", "Library", "Study", "Library", "Lounge", "Cellar", "Kitchen", "Conservatory", "Library", "Study", "Ballroom", "Conservatory", "Kitchen", "Conservatory", "Hall", "Ballroom", "Cellar", "Ballroom", "Hall", "Study", "Kitchen", "Kitchen", "Cellar", "Lounge", "Kitchen", "Conservatory", "Cellar", "Ballroom", "Library", "Hall", "Hall", "Study"}

Returns: ""
"Kitchen"

956

{40, 61, 103, 120, 147, 198, 208, 225, 245, 290, 364, 388, 424, 440, 446, 466, 476, 524, 534, 541, 568, 575, 585, 593, 600, 619, 642, 655, 674, 698, 699, 724, 731, 735, 737, 742, 796, 799, 806, 860, 871, 879, 902, 903, 908, 944}

{"Green", "Peacock", "Scarlett", "Peacock", "Plum", "Mustard", "Scarlett", "Mustard", "Plum", "White", "Scarlett", "White", "Plum", "White", "Peacock", "Plum", "White", "Green", "White", "Green", "Green", "Peacock", "White", "Scarlett", "Peacock", "Peacock", "Plum", "Plum", "Scarlett", "Plum", "White", "Plum", "White", "Scarlett", "White", "White", "Peacock", "Green", "Mustard", "Green", "Mustard", "Scarlett", "Peacock", "Scarlett", "Peacock", "Green"}

{"Ballroom", "Cellar", "Cellar", "Kitchen", "Conservatory", "Lounge", "Kitchen", "Library", "Study", "Lounge", "Conservatory", "Conservatory", "Conservatory", "Library", "Lounge", "Hall", "Cellar", "Lounge", "Lounge", "Ballroom", "Ballroom", "Cellar", "Kitchen", "Hall", "Study", "Hall", "Library", "Lounge", "Library", "Ballroom", "Study", "Study", "Conservatory", "Cellar", "Lounge", "Lounge", "Study", "Library", "Library", "Ballroom", "Hall", "Library", "Ballroom", "Kitchen", "Ballroom", "Study"}

Returns: "Scarlett"
"Cellar"

625

{8, 13, 19, 37, 53, 65, 80, 92, 117, 178, 294, 307, 310, 333, 342, 345, 353, 400, 446, 474, 479, 518, 541, 584, 586, 601, 634, 652, 669, 690, 706, 715, 723, 736, 774, 803, 855, 901, 902, 911, 947}

{"Green", "Scarlett", "Mustard", "Green", "Peacock", "Mustard", "Green", "Scarlett", "Mustard", "Mustard", "Peacock", "White", "Peacock", "Scarlett", "Plum", "Plum", "Scarlett", "Green", "Green", "Scarlett", "White", "Plum", "Peacock", "Scarlett", "Plum", "White", "White", "Green", "Green", "Peacock", "Mustard", "White", "Green", "Plum", "White", "White", "Peacock", "White", "Peacock", "Peacock", "Mustard"}

{"Cellar", "Conservatory", "Cellar", "Study", "Study", "Ballroom", "Cellar", "Lounge", "Ballroom", "Cellar", "Cellar", "Ballroom", "Library", "Kitchen", "Cellar", "Study", "Hall", "Library", "Conservatory", "Cellar", "Conservatory", "Cellar", "Library", "Library", "Hall", "Kitchen", "Study", "Conservatory", "Library", "Library", "Cellar", "Study", "Library", "Conservatory", "Cellar", "Kitchen", "Conservatory", "Lounge", "Kitchen", "Conservatory", "Conservatory"}

Returns: "Mustard"
"Lounge"

345

{40, 65, 69, 82, 142, 201, 215, 223, 287, 289, 307, 316, 341, 352, 371, 424, 475, 498, 500, 503, 506, 555, 580, 582, 605, 619, 649, 664, 675, 701, 703, 711, 726, 727, 752, 760, 763, 765, 790, 827, 879, 906, 926, 941, 954, 967, 968, 972, 982}

{"Green", "Mustard", "Scarlett", "Scarlett", "Green", "Plum", "White", "Peacock", "Plum", "Scarlett", "Peacock", "Scarlett", "Plum", "Peacock", "Mustard", "Scarlett", "Plum", "Peacock", "Mustard", "Peacock", "Plum", "Peacock", "Green", "White", "Scarlett", "Scarlett", "Scarlett", "Green", "White", "Scarlett", "Scarlett", "Mustard", "Peacock", "Peacock", "Green", "Plum", "Green", "Peacock", "Peacock", "Peacock", "Mustard", "Green", "Mustard", "Mustard", "Green", "Scarlett", "Green", "Plum", "Green"}

{"Conservatory", "Ballroom", "Library", "Conservatory", "Kitchen", "Study", "Library", "Ballroom", "Kitchen", "Ballroom", "Kitchen", "Library", "Ballroom", "Hall", "Lounge", "Ballroom", "Ballroom", "Conservatory", "Study", "Hall", "Cellar", "Study", "Cellar", "Lounge", "Hall", "Study", "Hall", "Conservatory", "Study", "Ballroom", "Cellar", "Study", "Conservatory", "Ballroom", "Cellar", "Kitchen", "Library", "Lounge", "Study", "Ballroom", "Ballroom", "Ballroom", "Library", "Ballroom", "Kitchen", "Ballroom", "Conservatory", "Library", "Lounge"}

Returns: ""
"Hall"

169

{1, 28, 69, 89, 94, 96, 100, 134, 171, 184, 215, 237, 271, 277, 280, 301, 311, 323, 334, 395, 397, 446, 466, 499, 534, 543, 552, 632, 635, 641, 683, 692, 713, 752, 753, 754, 830, 851, 856, 869, 890, 898, 913, 928, 945, 959, 1000}

{"Scarlett", "Plum", "Green", "Peacock", "Scarlett", "Mustard", "Peacock", "Plum", "Green", "Scarlett", "White", "Peacock", "Scarlett", "Mustard", "Scarlett", "Mustard", "Green", "Green", "Green", "White", "Mustard", "Peacock", "Mustard", "Peacock", "Green", "Scarlett", "Green", "Scarlett", "Green", "Mustard", "White", "Plum", "Plum", "Mustard", "Mustard", "White", "Scarlett", "White", "Peacock", "Plum", "Peacock", "White", "Plum", "Mustard", "Peacock", "Plum", "White"}

{"Ballroom", "Hall", "Kitchen", "Ballroom", "Cellar", "Study", "Cellar", "Cellar", "Cellar", "Hall", "Lounge", "Hall", "Conservatory", "Lounge", "Conservatory", "Hall", "Hall", "Ballroom", "Hall", "Ballroom", "Cellar", "Cellar", "Kitchen", "Library", "Study", "Library", "Study", "Conservatory", "Conservatory", "Kitchen", "Cellar", "Lounge", "Library", "Library", "Kitchen", "Ballroom", "Hall", "Library", "Cellar", "Kitchen", "Cellar", "Cellar", "Ballroom", "Library", "Study", "Lounge", "Conservatory"}

Returns: "White"
"Library"

482

{19, 20, 21, 44, 83, 98, 121, 181, 200, 213, 220, 231, 244, 251, 323, 399, 453, 455, 468, 495, 530, 553, 577, 583, 622, 623, 672, 676, 709, 733, 789, 823, 842, 866, 890, 904, 907, 932, 956, 963, 984}

{"Green", "Green", "White", "Plum", "White", "White", "Peacock", "Green", "Peacock", "Plum", "Scarlett", "Green", "Plum", "Plum", "Mustard", "Scarlett", "Green", "Plum", "Scarlett", "Scarlett", "Mustard", "Scarlett", "White", "White", "White", "Peacock", "Plum", "Mustard", "Scarlett", "Scarlett", "Mustard", "White", "Scarlett", "Peacock", "Plum", "Mustard", "Scarlett", "Green", "Scarlett", "Green", "Green"}

{"Ballroom", "Conservatory", "Hall", "Ballroom", "Cellar", "Lounge", "Kitchen", "Ballroom", "Ballroom", "Study", "Ballroom", "Hall", "Kitchen", "Cellar", "Conservatory", "Hall", "Conservatory", "Library", "Lounge", "Conservatory", "Lounge", "Hall", "Library", "Ballroom", "Hall", "Library", "Hall", "Conservatory", "Study", "Ballroom", "Conservatory", "Study", "Hall", "Ballroom", "Cellar", "Hall", "Hall", "Ballroom", "Study", "Kitchen", "Conservatory"}

Returns: "Plum"
"Library"

130

{8, 104, 129, 164, 170, 174, 206, 218, 249, 297, 328, 352, 392, 416, 428, 449, 451, 513, 523, 533, 566, 571, 612, 633, 639, 703, 717, 743, 776, 807, 855, 861, 890, 894, 899, 924, 925, 934, 943, 956}

{"Peacock", "White", "White", "Peacock", "Scarlett", "Scarlett", "Green", "Scarlett", "Mustard", "White", "Plum", "Plum", "Scarlett", "Peacock", "Plum", "Green", "Mustard", "Mustard", "Green", "Peacock", "White", "Plum", "Mustard", "Plum", "Plum", "Mustard", "Mustard", "Peacock", "Peacock", "Scarlett", "Mustard", "Plum", "Plum", "Peacock", "Plum", "White", "Scarlett", "White", "White", "Peacock"}

{"Ballroom", "Library", "Conservatory", "Hall", "Conservatory", "Cellar", "Conservatory", "Hall", "Ballroom", "Conservatory", "Lounge", "Conservatory", "Kitchen", "Study", "Cellar", "Conservatory", "Lounge", "Kitchen", "Kitchen", "Ballroom", "Conservatory", "Library", "Library", "Ballroom", "Lounge", "Lounge", "Hall", "Conservatory", "Lounge", "Hall", "Lounge", "Library", "Lounge", "Study", "Hall", "Library", "Lounge", "Kitchen", "Ballroom", "Cellar"}

Returns: ""
"Cellar"

251

{13, 26, 31, 43, 51, 59, 80, 119, 125, 137, 165, 193, 207, 213, 216, 269, 286, 332, 333, 341, 390, 404, 417, 428, 468, 471, 506, 554, 626, 635, 695, 711, 764, 799, 816, 817, 828, 847, 858, 942, 949, 954, 969, 984}

{"Scarlett", "Mustard", "Scarlett", "Green", "White", "White", "Scarlett", "Peacock", "Mustard", "Peacock", "White", "Peacock", "Peacock", "Plum", "Plum", "Plum", "Green", "Mustard", "Plum", "White", "Green", "Plum", "Scarlett", "Mustard", "White", "Peacock", "White", "White", "Green", "Green", "White", "White", "Peacock", "White", "Scarlett", "Green", "Scarlett", "Green", "Scarlett", "White", "Mustard", "Plum", "Peacock", "Green"}

{"Cellar", "Hall", "Conservatory", "Hall", "Ballroom", "Cellar", "Ballroom", "Conservatory", "Library", "Kitchen", "Library", "Ballroom", "Cellar", "Library", "Lounge", "Study", "Kitchen", "Lounge", "Conservatory", "Ballroom", "Study", "Cellar", "Conservatory", "Lounge", "Hall", "Lounge", "Cellar", "Lounge", "Hall", "Hall", "Hall", "Study", "Kitchen", "Cellar", "Kitchen", "Ballroom", "Library", "Library", "Library", "Lounge", "Lounge", "Hall", "Lounge", "Hall"}

Returns: "Peacock"
"Library"

286

{27, 29, 38, 43, 51, 70, 72, 127, 131, 139, 190, 212, 264, 300, 344, 371, 378, 415, 439, 444, 458, 501, 544, 546, 568, 581, 584, 615, 623, 668, 682, 694, 700, 782, 787, 794, 808, 845, 894, 917, 934, 960, 962, 990}

{"Peacock", "Plum", "Green", "Peacock", "Mustard", "Peacock", "Plum", "Peacock", "Peacock", "White", "Plum", "Peacock", "Mustard", "Peacock", "White", "White", "Mustard", "White", "Mustard", "Plum", "Mustard", "White", "Mustard", "Peacock", "Mustard", "Green", "Green", "Mustard", "Plum", "Mustard", "White", "Mustard", "Mustard", "Green", "Mustard", "Plum", "Peacock", "Scarlett", "Mustard", "White", "Plum", "Green", "Peacock", "Green"}

{"Study", "Library", "Library", "Cellar", "Lounge", "Ballroom", "Lounge", "Library", "Library", "Cellar", "Cellar", "Study", "Hall", "Study", "Ballroom", "Ballroom", "Hall", "Library", "Study", "Library", "Library", "Ballroom", "Study", "Hall", "Cellar", "Conservatory", "Hall", "Library", "Lounge", "Study", "Conservatory", "Hall", "Conservatory", "Hall", "Hall", "Lounge", "Kitchen", "Ballroom", "Cellar", "Library", "Library", "Library", "Hall", "Cellar"}

Returns: "Green"
"Lounge"

768

{10, 21, 44, 63, 100, 118, 123, 206, 207, 219, 227, 233, 234, 244, 259, 272, 274, 310, 340, 341, 365, 369, 376, 382, 404, 405, 430, 432, 446, 454, 460, 499, 517, 529, 575, 653, 689, 716, 765, 780, 782, 787, 889, 895, 923, 959, 995}

{"Plum", "Scarlett", "Peacock", "Mustard", "White", "Plum", "Peacock", "Plum", "Plum", "Mustard", "Plum", "Green", "Peacock", "Mustard", "Mustard", "Peacock", "Scarlett", "Mustard", "Green", "Scarlett", "Green", "White", "White", "Scarlett", "Scarlett", "White", "Plum", "Peacock", "Peacock", "Peacock", "Plum", "Peacock", "Peacock", "Green", "White", "Green", "White", "Peacock", "Plum", "Green", "Plum", "Green", "Scarlett", "White", "Scarlett", "Scarlett", "Green"}

{"Lounge", "Study", "Study", "Hall", "Study", "Library", "Hall", "Hall", "Hall", "Cellar", "Cellar", "Conservatory", "Ballroom", "Kitchen", "Cellar", "Lounge", "Hall", "Ballroom", "Library", "Study", "Lounge", "Library", "Kitchen", "Lounge", "Ballroom", "Hall", "Lounge", "Hall", "Hall", "Cellar", "Cellar", "Conservatory", "Conservatory", "Ballroom", "Kitchen", "Cellar", "Lounge", "Cellar", "Library", "Kitchen", "Conservatory", "Lounge", "Hall", "Cellar", "Study", "Cellar", "Hall"}

Returns: "White"
"Conservatory"

955

{17, 33, 45, 85, 87, 116, 119, 148, 154, 169, 170, 204, 242, 265, 270, 295, 339, 389, 397, 403, 452, 531, 546, 576, 603, 625, 627, 644, 661, 702, 706, 733, 746, 763, 840, 857, 865, 883, 884, 887, 892, 907, 917, 966, 988}

{"Plum", "Green", "Green", "Scarlett", "Mustard", "Scarlett", "White", "Peacock", "Green", "Peacock", "Plum", "Scarlett", "Plum", "Green", "Green", "White", "Mustard", "Green", "White", "Green", "Plum", "Peacock", "White", "White", "Scarlett", "Plum", "Peacock", "White", "Plum", "Plum", "White", "Green", "Peacock", "Green", "Green", "Green", "Mustard", "Plum", "Green", "Plum", "Scarlett", "Scarlett", "Plum", "Scarlett", "Green"}

{"Ballroom", "Lounge", "Conservatory", "Study", "Conservatory", "Hall", "Kitchen", "Ballroom", "Lounge", "Hall", "Study", "Hall", "Library", "Library", "Cellar", "Study", "Hall", "Kitchen", "Ballroom", "Study", "Kitchen", "Kitchen", "Kitchen", "Hall", "Library", "Study", "Library", "Kitchen", "Lounge", "Study", "Lounge", "Conservatory", "Hall", "Hall", "Hall", "Ballroom", "Study", "Study", "Study", "Kitchen", "Lounge", "Library", "Cellar", "Study", "Conservatory"}

Returns: ""
"Study"

782

{46, 57, 64, 84, 105, 146, 147, 212, 216, 238, 250, 283, 297, 305, 309, 317, 340, 352, 386, 406, 429, 447, 476, 528, 544, 585, 650, 666, 680, 681, 692, 751, 754, 776, 793, 800, 832, 834, 848, 863, 917, 923, 938, 960, 991, 997}

{"Green", "Mustard", "Scarlett", "Green", "Plum", "Peacock", "Green", "Scarlett", "Plum", "Green", "White", "Green", "Plum", "Plum", "Plum", "Green", "White", "White", "White", "White", "White", "White", "Peacock", "Plum", "Green", "Mustard", "Scarlett", "Mustard", "White", "Scarlett", "Mustard", "White", "White", "Peacock", "Green", "Plum", "Plum", "White", "Scarlett", "Mustard", "White", "Mustard", "Mustard", "White", "White", "Peacock"}

{"Ballroom", "Library", "Conservatory", "Study", "Lounge", "Conservatory", "Ballroom", "Kitchen", "Library", "Study", "Ballroom", "Library", "Conservatory", "Kitchen", "Hall", "Hall", "Ballroom", "Cellar", "Conservatory", "Lounge", "Conservatory", "Lounge", "Conservatory", "Kitchen", "Ballroom", "Kitchen", "Kitchen", "Conservatory", "Conservatory", "Cellar", "Cellar", "Lounge", "Ballroom", "Lounge", "Conservatory", "Hall", "Library", "Kitchen", "Kitchen", "Conservatory", "Library", "Kitchen", "Conservatory", "Library", "Hall", "Cellar"}

Returns: ""
"Library"

460

{10, 21, 102, 160, 165, 217, 229, 249, 307, 352, 357, 373, 406, 417, 428, 430, 436, 443, 471, 474, 505, 517, 553, 559, 565, 583, 639, 644, 670, 692, 703, 733, 749, 761, 820, 846, 864, 895, 902, 904, 915, 946, 948, 961}

{"Mustard", "Plum", "Plum", "Plum", "Peacock", "Scarlett", "White", "Green", "Plum", "Green", "White", "Green", "Plum", "Peacock", "Scarlett", "Mustard", "White", "Plum", "White", "White", "Plum", "Green", "White", "Mustard", "Peacock", "Peacock", "Scarlett", "Plum", "Mustard", "White", "White", "Scarlett", "Mustard", "Green", "White", "Green", "Plum", "Peacock", "Scarlett", "White", "Green", "Mustard", "Mustard", "Plum"}

{"Kitchen", "Ballroom", "Cellar", "Lounge", "Ballroom", "Conservatory", "Conservatory", "Ballroom", "Hall", "Ballroom", "Lounge", "Conservatory", "Conservatory", "Kitchen", "Hall", "Ballroom", "Hall", "Library", "Lounge", "Library", "Study", "Kitchen", "Library", "Kitchen", "Ballroom", "Cellar", "Kitchen", "Library", "Study", "Ballroom", "Hall", "Cellar", "Kitchen", "Lounge", "Kitchen", "Study", "Lounge", "Kitchen", "Ballroom", "Cellar", "Hall", "Lounge", "Study", "Cellar"}

Returns: "Plum"
"Library"

872

{31, 92, 126, 152, 166, 206, 239, 244, 276, 323, 346, 350, 363, 391, 399, 434, 448, 450, 473, 492, 496, 504, 513, 629, 636, 662, 677, 716, 769, 789, 806, 824, 848, 862, 870, 876, 900, 910, 956, 958, 981, 988}

{"Scarlett", "Green", "Mustard", "Green", "Plum", "Plum", "Plum", "Plum", "Mustard", "Plum", "Scarlett", "Mustard", "Plum", "Mustard", "Plum", "Green", "Peacock", "White", "Plum", "Mustard", "Scarlett", "White", "Mustard", "Scarlett", "Green", "Mustard", "Green", "Mustard", "Scarlett", "Plum", "White", "Green", "Scarlett", "Plum", "Scarlett", "Green", "Scarlett", "Mustard", "Plum", "Scarlett", "Mustard", "Peacock"}

{"Cellar", "Kitchen", "Kitchen", "Hall", "Study", "Ballroom", "Lounge", "Hall", "Library", "Study", "Study", "Study", "Kitchen", "Library", "Hall", "Library", "Library", "Library", "Ballroom", "Hall", "Study", "Kitchen", "Cellar", "Kitchen", "Ballroom", "Library", "Study", "Kitchen", "Lounge", "Library", "Library", "Library", "Study", "Hall", "Study", "Cellar", "Study", "Cellar", "Library", "Hall", "Library", "Conservatory"}

Returns: ""
"Ballroom"

31

{20, 37, 49, 58, 79, 85, 109, 111, 113, 118, 148, 203, 225, 238, 269, 273, 285, 302, 321, 358, 370, 382, 425, 458, 518, 531, 538, 547, 548, 550, 565, 571, 612, 666, 699, 723, 730, 752, 758, 765, 772, 782, 871, 887, 895, 935, 968, 972, 976}

{"Mustard", "Green", "Scarlett", "Scarlett", "Mustard", "Green", "White", "Scarlett", "Scarlett", "Plum", "Scarlett", "Mustard", "Mustard", "Mustard", "Green", "White", "Scarlett", "Mustard", "Green", "Scarlett", "Mustard", "Mustard", "Plum", "Peacock", "Scarlett", "Scarlett", "Green", "Peacock", "Scarlett", "Scarlett", "Peacock", "Mustard", "Green", "White", "Green", "Mustard", "Plum", "Plum", "White", "Scarlett", "Green", "Green", "Peacock", "White", "White", "Green", "Peacock", "White", "White"}

{"Cellar", "Conservatory", "Hall", "Hall", "Study", "Lounge", "Conservatory", "Lounge", "Kitchen", "Cellar", "Lounge", "Cellar", "Hall", "Library", "Kitchen", "Library", "Ballroom", "Cellar", "Ballroom", "Hall", "Kitchen", "Study", "Conservatory", "Cellar", "Conservatory", "Lounge", "Ballroom", "Cellar", "Lounge", "Library", "Library", "Lounge", "Hall", "Conservatory", "Kitchen", "Library", "Kitchen", "Hall", "Kitchen", "Ballroom", "Kitchen", "Study", "Study", "Conservatory", "Library", "Cellar", "Cellar", "Kitchen", "Conservatory"}

Returns: ""
"Lounge"

505

{24, 36, 66, 89, 142, 170, 217, 230, 247, 276, 277, 301, 303, 315, 327, 348, 386, 409, 448, 460, 480, 495, 502, 509, 557, 595, 597, 635, 647, 673, 747, 766, 810, 819, 840, 865, 921, 951, 973, 980, 982}

{"Mustard", "Scarlett", "Plum", "Peacock", "Scarlett", "Scarlett", "Plum", "White", "Peacock", "Scarlett", "Plum", "Green", "Mustard", "Peacock", "White", "Green", "White", "Green", "Peacock", "Plum", "Green", "Green", "White", "Scarlett", "Scarlett", "Plum", "Peacock", "Mustard", "White", "Plum", "Green", "White", "Scarlett", "Green", "Peacock", "Mustard", "Peacock", "White", "Green", "Mustard", "Green"}

{"Hall", "Lounge", "Ballroom", "Hall", "Lounge", "Lounge", "Hall", "Hall", "Hall", "Library", "Hall", "Library", "Hall", "Cellar", "Study", "Kitchen", "Study", "Library", "Study", "Hall", "Conservatory", "Cellar", "Hall", "Hall", "Lounge", "Library", "Cellar", "Study", "Lounge", "Conservatory", "Cellar", "Library", "Cellar", "Cellar", "Kitchen", "Hall", "Library", "Kitchen", "Ballroom", "Ballroom", "Ballroom"}

Returns: ""
"Kitchen"

253

{5, 44, 56, 81, 90, 222, 233, 243, 292, 299, 313, 317, 348, 376, 388, 438, 456, 480, 488, 529, 530, 539, 549, 557, 560, 576, 599, 617, 625, 643, 647, 655, 661, 662, 666, 691, 710, 736, 737, 740, 761, 766, 778, 797, 851, 903, 974, 988}

{"Green", "Mustard", "Scarlett", "Plum", "Scarlett", "Green", "Scarlett", "Scarlett", "Green", "Mustard", "Green", "Green", "White", "Peacock", "Peacock", "Plum", "Green", "Scarlett", "White", "Plum", "Peacock", "Plum", "White", "Scarlett", "Scarlett", "Scarlett", "White", "Mustard", "Mustard", "White", "Peacock", "Plum", "Green", "Mustard", "White", "Peacock", "Mustard", "Green", "Scarlett", "Plum", "Scarlett", "Scarlett", "Mustard", "Green", "Mustard", "Peacock", "Peacock", "Green"}

{"Study", "Library", "Conservatory", "Conservatory", "Conservatory", "Kitchen", "Cellar", "Cellar", "Study", "Cellar", "Cellar", "Kitchen", "Conservatory", "Kitchen", "Library", "Kitchen", "Kitchen", "Ballroom", "Study", "Cellar", "Study", "Conservatory", "Ballroom", "Conservatory", "Lounge", "Study", "Study", "Cellar", "Cellar", "Library", "Kitchen", "Ballroom", "Lounge", "Library", "Ballroom", "Conservatory", "Cellar", "Conservatory", "Cellar", "Conservatory", "Conservatory", "Cellar", "Conservatory", "Hall", "Library", "Hall", "Kitchen", "Cellar"}

Returns: "Green"
"Hall"

771

{10, 11, 50, 58, 59, 61, 119, 135, 210, 219, 349, 379, 387, 389, 404, 412, 416, 428, 432, 446, 500, 529, 557, 574, 610, 638, 639, 649, 659, 676, 747, 754, 763, 798, 822, 859, 865, 893, 903, 908, 921, 928, 932, 952, 981}

{"Mustard", "Plum", "Mustard", "Peacock", "Mustard", "Green", "White", "Scarlett", "Plum", "Green", "Green", "Scarlett", "Plum", "Peacock", "Green", "Plum", "Peacock", "Plum", "Plum", "White", "White", "Peacock", "Mustard", "Scarlett", "Plum", "Peacock", "Mustard", "Green", "White", "Peacock", "Peacock", "Plum", "Green", "White", "Mustard", "Peacock", "Mustard", "Mustard", "Mustard", "White", "Mustard", "Green", "White", "Green", "Peacock"}

{"Kitchen", "Ballroom", "Lounge", "Hall", "Ballroom", "Conservatory", "Kitchen", "Cellar", "Cellar", "Cellar", "Library", "Study", "Hall", "Study", "Library", "Library", "Library", "Conservatory", "Ballroom", "Ballroom", "Hall", "Hall", "Library", "Study", "Study", "Cellar", "Ballroom", "Ballroom", "Ballroom", "Hall", "Ballroom", "Cellar", "Study", "Ballroom", "Library", "Lounge", "Conservatory", "Ballroom", "Lounge", "Conservatory", "Hall", "Library", "Conservatory", "Ballroom", "Hall"}

Returns: ""
"Study"

244

{9, 37, 50, 84, 85, 87, 89, 90, 98, 121, 165, 179, 219, 380, 396, 406, 408, 413, 447, 491, 544, 551, 568, 570, 583, 587, 588, 636, 638, 641, 647, 651, 653, 708, 747, 759, 770, 794, 803, 819, 857, 881, 895, 975, 979, 981}

{"Plum", "Plum", "Green", "Peacock", "Green", "Mustard", "White", "White", "Plum", "Peacock", "Peacock", "Scarlett", "Plum", "Peacock", "Plum", "Plum", "Green", "Green", "Green", "Scarlett", "Peacock", "Green", "White", "Green", "Scarlett", "White", "Green", "Scarlett", "Plum", "Scarlett", "Scarlett", "Scarlett", "Mustard", "Plum", "Scarlett", "Scarlett", "White", "Scarlett", "White", "Peacock", "Plum", "Scarlett", "Mustard", "Plum", "Peacock", "Peacock"}

{"Conservatory", "Lounge", "Lounge", "Conservatory", "Hall", "Cellar", "Kitchen", "Conservatory", "Library", "Hall", "Hall", "Lounge", "Study", "Study", "Kitchen", "Library", "Cellar", "Library", "Study", "Kitchen", "Study", "Hall", "Study", "Hall", "Lounge", "Cellar", "Cellar", "Conservatory", "Hall", "Lounge", "Hall", "Lounge", "Study", "Conservatory", "Cellar", "Study", "Cellar", "Conservatory", "Lounge", "Hall", "Study", "Study", "Ballroom", "Study", "Kitchen", "Ballroom"}

Returns: "Plum"
"Conservatory"

364

{15, 22, 36, 40, 51, 84, 91, 125, 129, 151, 154, 173, 195, 204, 259, 262, 279, 287, 298, 382, 404, 465, 498, 516, 540, 541, 568, 569, 574, 580, 588, 636, 643, 673, 684, 693, 714, 723, 725, 745, 814, 861, 884, 888, 905, 908, 926, 929, 960, 978}

{"Peacock", "Plum", "Green", "Green", "Scarlett", "White", "Peacock", "Peacock", "Scarlett", "White", "White", "Peacock", "Peacock", "Green", "Scarlett", "Peacock", "Scarlett", "Peacock", "Green", "Plum", "Green", "Mustard", "Plum", "White", "Plum", "White", "Peacock", "White", "White", "Green", "Mustard", "Green", "Green", "Green", "Plum", "White", "Plum", "Green", "Green", "Scarlett", "White", "Scarlett", "Scarlett", "Peacock", "White", "Plum", "White", "Mustard", "Green", "White"}

{"Lounge", "Conservatory", "Lounge", "Conservatory", "Hall", "Hall", "Lounge", "Kitchen", "Ballroom", "Library", "Lounge", "Library", "Cellar", "Kitchen", "Study", "Kitchen", "Kitchen", "Lounge", "Hall", "Lounge", "Lounge", "Kitchen", "Library", "Cellar", "Conservatory", "Lounge", "Library", "Lounge", "Study", "Kitchen", "Conservatory", "Hall", "Ballroom", "Conservatory", "Library", "Kitchen", "Cellar", "Lounge", "Hall", "Lounge", "Ballroom", "Conservatory", "Study", "Kitchen", "Ballroom", "Ballroom", "Study", "Lounge", "Ballroom", "Study"}

Returns: "Plum"
"Lounge"

415

{3, 61, 67, 148, 165, 193, 216, 288, 293, 299, 335, 338, 346, 358, 409, 460, 476, 500, 505, 548, 552, 579, 580, 583, 594, 599, 601, 640, 679, 683, 729, 733, 734, 768, 809, 827, 843, 947, 959, 971}

{"Mustard", "Peacock", "Green", "Mustard", "Plum", "Scarlett", "Plum", "Mustard", "Mustard", "Plum", "Mustard", "White", "Peacock", "Scarlett", "White", "Scarlett", "Plum", "White", "White", "White", "Mustard", "Plum", "Plum", "Plum", "White", "Plum", "Scarlett", "Plum", "Green", "Plum", "Plum", "Mustard", "Plum", "White", "White", "Mustard", "Scarlett", "Mustard", "Peacock", "Green"}

{"Library", "Hall", "Cellar", "Hall", "Library", "Lounge", "Study", "Cellar", "Cellar", "Conservatory", "Hall", "Study", "Ballroom", "Hall", "Study", "Hall", "Lounge", "Hall", "Ballroom", "Hall", "Conservatory", "Kitchen", "Hall", "Study", "Hall", "Lounge", "Conservatory", "Ballroom", "Library", "Cellar", "Conservatory", "Study", "Kitchen", "Conservatory", "Study", "Library", "Lounge", "Kitchen", "Kitchen", "Ballroom"}

Returns: ""
"Conservatory"

110

{4, 62, 65, 68, 70, 126, 160, 191, 195, 199, 202, 212, 214, 249, 259, 285, 312, 332, 363, 377, 404, 415, 430, 479, 499, 511, 517, 547, 558, 572, 582, 596, 607, 614, 634, 641, 665, 674, 734, 771, 846, 877, 900, 910, 911, 934, 939, 945, 965, 999}

{"Scarlett", "Plum", "White", "Peacock", "Scarlett", "Scarlett", "Scarlett", "White", "Peacock", "Peacock", "White", "Peacock", "Plum", "Plum", "Peacock", "Mustard", "Mustard", "Peacock", "Peacock", "White", "Plum", "Green", "Green", "White", "White", "Peacock", "White", "White", "Peacock", "Green", "Peacock", "Scarlett", "Green", "Mustard", "Plum", "Green", "Green", "Mustard", "White", "White", "Mustard", "Peacock", "Mustard", "Plum", "Green", "White", "Peacock", "Plum", "Peacock", "White"}

{"Cellar", "Kitchen", "Library", "Lounge", "Cellar", "Hall", "Kitchen", "Library", "Kitchen", "Conservatory", "Kitchen", "Hall", "Cellar", "Study", "Ballroom", "Library", "Library", "Study", "Study", "Kitchen", "Library", "Hall", "Conservatory", "Ballroom", "Study", "Cellar", "Study", "Study", "Library", "Cellar", "Ballroom", "Lounge", "Conservatory", "Cellar", "Study", "Lounge", "Study", "Cellar", "Lounge", "Lounge", "Conservatory", "Kitchen", "Library", "Study", "Lounge", "Library", "Cellar", "Hall", "Lounge", "Study"}

Returns: ""
"Ballroom"

238

{41, 42, 85, 105, 153, 189, 220, 243, 262, 266, 282, 312, 340, 374, 375, 376, 378, 429, 506, 533, 572, 579, 608, 609, 622, 629, 632, 645, 693, 697, 709, 737, 761, 877, 885, 900, 908, 910, 912, 913, 922, 947, 956, 979, 980}

{"Peacock", "Green", "Scarlett", "White", "Peacock", "White", "Scarlett", "Peacock", "Peacock", "Green", "Peacock", "Peacock", "White", "Scarlett", "Mustard", "Scarlett", "Green", "Mustard", "Scarlett", "White", "White", "White", "Plum", "Peacock", "Scarlett", "Scarlett", "Mustard", "Plum", "Peacock", "Plum", "Plum", "Green", "Peacock", "Scarlett", "Scarlett", "Plum", "Mustard", "Scarlett", "Scarlett", "Green", "Mustard", "Plum", "Peacock", "Peacock", "Plum"}

{"Cellar", "Library", "Hall", "Ballroom", "Hall", "Study", "Hall", "Conservatory", "Library", "Ballroom", "Cellar", "Kitchen", "Hall", "Library", "Kitchen", "Ballroom", "Conservatory", "Cellar", "Cellar", "Cellar", "Hall", "Kitchen", "Cellar", "Library", "Kitchen", "Ballroom", "Conservatory", "Ballroom", "Library", "Lounge", "Hall", "Conservatory", "Study", "Kitchen", "Ballroom", "Lounge", "Library", "Lounge", "Lounge", "Kitchen", "Kitchen", "Lounge", "Hall", "Cellar", "Hall"}

Returns: ""
"Hall"

146

{5, 24, 56, 63, 79, 82, 113, 163, 180, 192, 246, 247, 251, 275, 282, 307, 318, 320, 347, 396, 410, 432, 464, 480, 516, 557, 558, 586, 602, 632, 654, 673, 690, 765, 773, 787, 904, 909, 935, 959, 965, 978, 994, 1000}

{"Green", "Mustard", "Plum", "Plum", "Scarlett", "White", "Scarlett", "Scarlett", "Mustard", "Mustard", "Peacock", "Peacock", "Mustard", "White", "Scarlett", "Mustard", "White", "Peacock", "Plum", "Plum", "White", "White", "Plum", "Scarlett", "Green", "Scarlett", "Mustard", "Mustard", "Mustard", "White", "White", "White", "Scarlett", "White", "Green", "Plum", "Green", "Green", "Mustard", "Green", "Green", "Scarlett", "Mustard", "Scarlett"}

{"Ballroom", "Ballroom", "Lounge", "Cellar", "Hall", "Conservatory", "Lounge", "Kitchen", "Kitchen", "Lounge", "Library", "Library", "Library", "Kitchen", "Study", "Cellar", "Conservatory", "Hall", "Library", "Conservatory", "Conservatory", "Hall", "Conservatory", "Hall", "Cellar", "Study", "Kitchen", "Ballroom", "Cellar", "Conservatory", "Lounge", "Cellar", "Lounge", "Kitchen", "Hall", "Study", "Study", "Cellar", "Hall", "Hall", "Hall", "Study", "Conservatory", "Kitchen"}

Returns: "Peacock"
"Lounge"

972

{10, 60, 61, 67, 72, 131, 133, 140, 148, 152, 160, 180, 281, 283, 332, 398, 412, 419, 446, 488, 489, 518, 525, 531, 553, 560, 625, 635, 639, 645, 674, 683, 692, 697, 721, 735, 737, 749, 753, 766, 791, 834, 846, 881, 956, 958}

{"Scarlett", "White", "Scarlett", "Mustard", "White", "Peacock", "Green", "White", "Scarlett", "White", "Scarlett", "Mustard", "Scarlett", "Green", "Mustard", "Scarlett", "Scarlett", "Green", "Mustard", "Peacock", "Mustard", "Scarlett", "Peacock", "Scarlett", "Plum", "Peacock", "White", "Peacock", "Peacock", "Peacock", "Mustard", "Scarlett", "Mustard", "Green", "White", "Plum", "White", "Peacock", "Plum", "Mustard", "White", "White", "Peacock", "Green", "White", "Scarlett"}

{"Ballroom", "Kitchen", "Hall", "Cellar", "Library", "Lounge", "Library", "Lounge", "Library", "Ballroom", "Study", "Cellar", "Conservatory", "Kitchen", "Lounge", "Kitchen", "Cellar", "Cellar", "Kitchen", "Library", "Hall", "Kitchen", "Study", "Library", "Study", "Study", "Library", "Lounge", "Study", "Ballroom", "Ballroom", "Lounge", "Cellar", "Cellar", "Kitchen", "Study", "Study", "Lounge", "Study", "Conservatory", "Study", "Library", "Conservatory", "Hall", "Cellar", "Kitchen"}

Returns: ""
"Ballroom"

905

{1, 30, 52, 53, 74, 75, 85, 101, 111, 112, 131, 153, 177, 187, 225, 230, 284, 300, 313, 320, 326, 380, 433, 449, 543, 551, 566, 592, 661, 664, 681, 713, 728, 740, 789, 798, 816, 825, 857, 859, 861, 865, 869, 881, 901, 902, 912, 971}

{"Scarlett", "Scarlett", "Plum", "Scarlett", "Green", "Mustard", "Peacock", "Green", "Green", "Scarlett", "Plum", "Mustard", "Green", "Green", "Plum", "White", "Plum", "Peacock", "Green", "Peacock", "Scarlett", "Green", "Scarlett", "White", "Green", "Mustard", "White", "Mustard", "Mustard", "Green", "White", "Peacock", "Scarlett", "White", "Peacock", "White", "Scarlett", "Green", "Green", "Plum", "Scarlett", "Mustard", "Mustard", "Scarlett", "Scarlett", "Plum", "Green", "Mustard"}

{"Cellar", "Study", "Lounge", "Ballroom", "Ballroom", "Conservatory", "Conservatory", "Lounge", "Conservatory", "Lounge", "Study", "Library", "Cellar", "Kitchen", "Library", "Lounge", "Hall", "Hall", "Kitchen", "Conservatory", "Library", "Cellar", "Ballroom", "Hall", "Ballroom", "Study", "Study", "Hall", "Conservatory", "Hall", "Lounge", "Lounge", "Cellar", "Hall", "Lounge", "Hall", "Hall", "Lounge", "Study", "Library", "Lounge", "Lounge", "Library", "Hall", "Lounge", "Kitchen", "Lounge", "Hall"}

Returns: ""
"Hall"

501

{12, 24, 32, 33, 49, 82, 86, 99, 103, 139, 171, 211, 216, 217, 235, 238, 271, 337, 350, 374, 378, 392, 409, 413, 419, 421, 425, 450, 456, 483, 495, 515, 521, 524, 526, 565, 578, 613, 672, 680, 689, 705, 729, 773, 879, 903, 911, 924, 959, 977}

{"White", "Peacock", "Plum", "Peacock", "Scarlett", "Green", "Peacock", "Mustard", "Peacock", "Mustard", "Peacock", "Peacock", "Peacock", "Green", "Peacock", "Green", "Scarlett", "Plum", "Mustard", "Green", "Plum", "White", "Green", "Peacock", "Mustard", "Plum", "White", "Peacock", "White", "White", "Peacock", "Scarlett", "Green", "Plum", "White", "Plum", "White", "Scarlett", "Mustard", "Plum", "White", "Mustard", "Mustard", "White", "Green", "White", "Mustard", "Scarlett", "White", "Mustard"}

{"Lounge", "Study", "Library", "Library", "Ballroom", "Library", "Hall", "Library", "Kitchen", "Kitchen", "Library", "Conservatory", "Kitchen", "Conservatory", "Study", "Ballroom", "Study", "Lounge", "Kitchen", "Kitchen", "Library", "Study", "Study", "Study", "Hall", "Lounge", "Ballroom", "Lounge", "Study", "Ballroom", "Lounge", "Conservatory", "Hall", "Conservatory", "Conservatory", "Lounge", "Hall", "Lounge", "Study", "Kitchen", "Conservatory", "Lounge", "Library", "Kitchen", "Library", "Lounge", "Hall", "Study", "Study", "Cellar"}

Returns: "Mustard"
"Study"

357

{20, 29, 51, 58, 65, 179, 228, 233, 255, 260, 312, 346, 371, 379, 410, 417, 430, 494, 534, 540, 556, 571, 600, 631, 716, 726, 733, 741, 781, 828, 840, 877, 883, 911, 920, 921, 932, 937, 943, 946, 963}

{"White", "White", "Plum", "White", "White", "Plum", "Peacock", "White", "Plum", "Mustard", "Green", "Green", "Mustard", "Peacock", "Mustard", "Green", "Green", "White", "White", "Green", "Scarlett", "Plum", "Green", "Plum", "Mustard", "Scarlett", "White", "Scarlett", "Scarlett", "Green", "Plum", "White", "Peacock", "Plum", "Green", "White", "White", "White", "Scarlett", "White", "Mustard"}

{"Cellar", "Cellar", "Hall", "Conservatory", "Library", "Cellar", "Library", "Library", "Conservatory", "Kitchen", "Ballroom", "Lounge", "Library", "Ballroom", "Lounge", "Ballroom", "Ballroom", "Lounge", "Cellar", "Study", "Library", "Kitchen", "Library", "Hall", "Ballroom", "Library", "Study", "Lounge", "Ballroom", "Study", "Kitchen", "Conservatory", "Kitchen", "Study", "Lounge", "Cellar", "Study", "Ballroom", "Cellar", "Study", "Kitchen"}

Returns: ""
"Lounge"

207

{5, 27, 78, 82, 124, 131, 140, 160, 220, 239, 241, 323, 332, 339, 386, 436, 488, 526, 553, 555, 556, 567, 586, 663, 688, 701, 703, 750, 763, 775, 782, 789, 794, 807, 823, 917, 935, 967, 975, 989}

{"Plum", "Plum", "White", "Green", "Peacock", "Green", "Green", "White", "Plum", "Peacock", "White", "Green", "White", "Green", "Mustard", "Scarlett", "Mustard", "Peacock", "Peacock", "White", "Plum", "Peacock", "White", "Mustard", "Plum", "Mustard", "Peacock", "Scarlett", "White", "Peacock", "Plum", "Plum", "White", "Scarlett", "Green", "Peacock", "Plum", "Scarlett", "Green", "Scarlett"}

{"Hall", "Library", "Cellar", "Conservatory", "Study", "Conservatory", "Study", "Cellar", "Cellar", "Hall", "Hall", "Library", "Cellar", "Cellar", "Lounge", "Lounge", "Study", "Hall", "Study", "Study", "Hall", "Lounge", "Kitchen", "Ballroom", "Ballroom", "Ballroom", "Library", "Lounge", "Study", "Ballroom", "Study", "Lounge", "Kitchen", "Kitchen", "Hall", "Lounge", "Hall", "Kitchen", "Study", "Conservatory"}

Returns: ""
"Library"

196

{5, 59, 63, 80, 113, 121, 221, 222, 226, 239, 242, 249, 252, 257, 290, 304, 355, 412, 441, 568, 570, 572, 606, 639, 663, 673, 717, 749, 758, 787, 790, 792, 799, 819, 821, 857, 880, 892, 941, 979}

{"Mustard", "Plum", "Peacock", "Mustard", "Plum", "Plum", "Plum", "Mustard", "Peacock", "Green", "Scarlett", "White", "Peacock", "Peacock", "Peacock", "Green", "Scarlett", "Scarlett", "Plum", "Scarlett", "Peacock", "Scarlett", "Plum", "Peacock", "Peacock", "Green", "Green", "White", "Green", "Green", "Scarlett", "Plum", "Scarlett", "Plum", "White", "White", "Green", "Mustard", "Green", "Green"}

{"Ballroom", "Cellar", "Cellar", "Cellar", "Cellar", "Hall", "Kitchen", "Conservatory", "Ballroom", "Cellar", "Cellar", "Kitchen", "Lounge", "Library", "Cellar", "Conservatory", "Hall", "Lounge", "Cellar", "Conservatory", "Hall", "Hall", "Hall", "Kitchen", "Library", "Hall", "Library", "Hall", "Library", "Cellar", "Lounge", "Study", "Hall", "Conservatory", "Study", "Study", "Ballroom", "Kitchen", "Cellar", "Lounge"}

Returns: ""
"Ballroom"

968

{15, 27, 85, 102, 105, 113, 116, 186, 189, 193, 234, 239, 319, 324, 333, 361, 371, 385, 395, 405, 437, 445, 481, 606, 629, 638, 645, 654, 672, 676, 686, 691, 739, 768, 775, 782, 785, 838, 901, 904, 926, 946}

{"White", "Mustard", "Plum", "Scarlett", "Mustard", "Plum", "Green", "Scarlett", "Green", "White", "White", "White", "Plum", "Green", "Scarlett", "Mustard", "Peacock", "Plum", "Peacock", "Plum", "Green", "Plum", "Green", "Peacock", "Scarlett", "Scarlett", "Mustard", "Plum", "Scarlett", "Peacock", "Peacock", "Scarlett", "Plum", "White", "Green", "Scarlett", "Peacock", "Scarlett", "Peacock", "Peacock", "Scarlett", "White"}

{"Ballroom", "Ballroom", "Conservatory", "Library", "Cellar", "Study", "Kitchen", "Hall", "Cellar", "Cellar", "Study", "Lounge", "Lounge", "Library", "Ballroom", "Conservatory", "Ballroom", "Study", "Library", "Ballroom", "Lounge", "Cellar", "Cellar", "Cellar", "Ballroom", "Hall", "Library", "Kitchen", "Library", "Hall", "Cellar", "Lounge", "Kitchen", "Hall", "Kitchen", "Ballroom", "Hall", "Hall", "Ballroom", "Kitchen", "Study", "Conservatory"}

Returns: ""
"Hall"

107

{2, 34, 72, 76, 91, 104, 156, 195, 209, 211, 236, 278, 310, 386, 405, 418, 429, 439, 469, 489, 490, 518, 553, 563, 564, 617, 650, 670, 679, 696, 717, 720, 724, 735, 790, 843, 865, 874, 875, 891, 930, 947, 961, 967, 987, 998}

{"Plum", "Scarlett", "Scarlett", "Mustard", "Mustard", "Green", "Green", "Plum", "Plum", "Plum", "Green", "Mustard", "Mustard", "Scarlett", "Mustard", "Plum", "Green", "Scarlett", "Peacock", "Plum", "Scarlett", "White", "Plum", "Mustard", "White", "Scarlett", "Peacock", "Green", "Scarlett", "Green", "Scarlett", "Plum", "Mustard", "Peacock", "Scarlett", "Scarlett", "Plum", "Peacock", "White", "Plum", "Peacock", "Green", "Mustard", "Green", "White", "Peacock"}

{"Hall", "Study", "Library", "Library", "Kitchen", "Study", "Lounge", "Ballroom", "Hall", "Hall", "Study", "Ballroom", "Kitchen", "Library", "Conservatory", "Hall", "Hall", "Lounge", "Hall", "Lounge", "Cellar", "Kitchen", "Cellar", "Conservatory", "Library", "Kitchen", "Conservatory", "Hall", "Lounge", "Ballroom", "Library", "Hall", "Lounge", "Lounge", "Hall", "Conservatory", "Library", "Cellar", "Study", "Hall", "Ballroom", "Cellar", "Library", "Conservatory", "Ballroom", "Library"}

Returns: ""
"Library"

244

{4, 8, 27, 33, 43, 92, 110, 132, 147, 163, 175, 217, 236, 242, 258, 278, 280, 285, 286, 309, 318, 360, 370, 380, 394, 409, 439, 467, 505, 521, 528, 588, 593, 601, 637, 696, 720, 722, 739, 752, 762, 777, 786, 825, 833, 909, 910, 962, 969}

{"Mustard", "Mustard", "Mustard", "Mustard", "Mustard", "Scarlett", "Plum", "Plum", "White", "Peacock", "Plum", "White", "Green", "Plum", "Mustard", "Peacock", "Green", "Peacock", "Green", "Mustard", "White", "Mustard", "Green", "Plum", "Peacock", "Peacock", "White", "Plum", "White", "Plum", "Scarlett", "Mustard", "Plum", "White", "Plum", "Green", "Green", "Scarlett", "Plum", "Plum", "Mustard", "Mustard", "Mustard", "White", "Mustard", "Mustard", "Green", "Green", "Peacock"}

{"Lounge", "Cellar", "Conservatory", "Cellar", "Kitchen", "Library", "Hall", "Study", "Conservatory", "Ballroom", "Hall", "Library", "Study", "Hall", "Hall", "Kitchen", "Cellar", "Library", "Cellar", "Lounge", "Lounge", "Kitchen", "Conservatory", "Cellar", "Cellar", "Ballroom", "Cellar", "Library", "Study", "Conservatory", "Library", "Ballroom", "Library", "Ballroom", "Hall", "Conservatory", "Library", "Ballroom", "Cellar", "Study", "Ballroom", "Lounge", "Cellar", "Hall", "Lounge", "Lounge", "Study", "Cellar", "Kitchen"}

Returns: ""
"Hall"

606

{35, 40, 141, 205, 215, 230, 257, 365, 370, 411, 436, 468, 518, 520, 575, 615, 646, 653, 665, 675, 699, 707, 730, 748, 782, 806, 818, 825, 832, 835, 868, 912, 952, 956, 957, 964, 969, 982, 988, 991, 1000}

{"Scarlett", "Plum", "Peacock", "Scarlett", "Green", "Green", "Green", "Plum", "Plum", "Mustard", "White", "Plum", "Peacock", "Peacock", "Peacock", "Peacock", "Scarlett", "Green", "Peacock", "Green", "Mustard", "White", "Plum", "Mustard", "Plum", "Peacock", "Plum", "Peacock", "Scarlett", "Scarlett", "Scarlett", "Mustard", "Peacock", "Plum", "Green", "Green", "Peacock", "Plum", "Scarlett", "White", "Mustard"}

{"Hall", "Hall", "Conservatory", "Lounge", "Cellar", "Lounge", "Study", "Conservatory", "Cellar", "Cellar", "Kitchen", "Ballroom", "Study", "Kitchen", "Kitchen", "Ballroom", "Kitchen", "Kitchen", "Hall", "Lounge", "Kitchen", "Library", "Lounge", "Hall", "Library", "Kitchen", "Kitchen", "Ballroom", "Ballroom", "Conservatory", "Study", "Study", "Kitchen", "Conservatory", "Kitchen", "Lounge", "Hall", "Hall", "Library", "Library", "Kitchen"}

Returns: ""
"Study"

822

{12, 35, 53, 62, 70, 92, 107, 111, 115, 134, 187, 207, 250, 269, 375, 379, 385, 397, 400, 466, 480, 495, 502, 519, 557, 584, 600, 621, 622, 646, 653, 675, 691, 713, 746, 791, 802, 804, 834, 861, 872, 883, 888, 896, 924, 934, 958, 959, 986}

{"Mustard", "White", "Scarlett", "Peacock", "Mustard", "Plum", "Peacock", "Peacock", "White", "Mustard", "Plum", "Scarlett", "Green", "Mustard", "Plum", "Plum", "Peacock", "Peacock", "Mustard", "White", "Plum", "Green", "Plum", "Green", "Mustard", "Plum", "Plum", "Green", "White", "Mustard", "Scarlett", "Scarlett", "Plum", "Mustard", "Peacock", "Mustard", "Green", "Plum", "Scarlett", "White", "Plum", "Plum", "Scarlett", "Mustard", "Green", "Mustard", "Green", "Scarlett", "Scarlett"}

{"Hall", "Conservatory", "Conservatory", "Hall", "Hall", "Lounge", "Ballroom", "Library", "Cellar", "Conservatory", "Kitchen", "Study", "Study", "Study", "Library", "Lounge", "Study", "Lounge", "Kitchen", "Library", "Study", "Hall", "Cellar", "Study", "Ballroom", "Study", "Conservatory", "Lounge", "Ballroom", "Ballroom", "Ballroom", "Ballroom", "Kitchen", "Cellar", "Kitchen", "Library", "Library", "Study", "Ballroom", "Hall", "Conservatory", "Conservatory", "Study", "Conservatory", "Conservatory", "Study", "Lounge", "Library", "Hall"}

Returns: "Plum"
"Hall"

11

{2, 4, 6, 8, 10, 12 }

{"White", "Green", "Peacock", "Plum", "Scarlett", "Mustard" }

{"Kitchen", "Ballroom", "Conservatory", "Library", "Lounge", "Study" }

Returns: "Mustard"
"Cellar"

8

{5, 7, 9 }

{"Plum", "Scarlett", "Plum" }

{"Library", "Library", "Cellar" }

Returns: ""
"Library"

10

{ }

{ }

{ }

Returns: ""
"Hall"

11

{2, 4, 6, 8, 10 }

{"White", "Green", "Peacock", "Plum", "Scarlett" }

{"Kitchen", "Ballroom", "Conservatory", "Library", "Lounge" }

Returns: "Mustard"
"Library"

10

{5, 7, 9 }

{"Plum", "Scarlett", "Plum" }

{"Library", "Library", "Cellar" }

Returns: "Scarlett"
"Hall"

6

{1, 2, 3, 4, 5 }

{"White", "Green", "Peacock", "Plum", "Scarlett" }

{"Library", "Library", "Library", "Library", "Library" }

Returns: "Mustard"
"Hall"

8

{1, 2, 3, 4, 5 }

{"White", "Green", "Peacock", "Plum", "Scarlett" }

{"Kitchen", "Kitchen", "Kitchen", "Kitchen", "Kitchen" }

Returns: "Mustard"
"Kitchen"

10

{1, 2, 3, 4, 5 }

{"White", "Green", "Peacock", "Plum", "Scarlett" }

{"Kitchen", "Kitchen", "Kitchen", "Kitchen", "Kitchen" }

Returns: ""
"Kitchen"

11

{1, 2 }

{"White", "Green" }

{"Kitchen", "Kitchen" }

Returns: ""
"Hall"

8

{ }

{ }

{ }

Returns: ""

Statistics

Problem Statement for "Alibi"

Problem Statement

Definition

Notes

Constraints

Examples