Quadratic Probing Example


Tablesize = 11
Tablesize: 11, start: 0
hash=   0, offset=  0
hash=   1, offset=  1
hash=   4, offset=  5
hash=   9, offset=  3
hash=  16, offset=  8
hash=  25, offset=  0
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hash=  81, offset= 10
hash= 100, offset=  0
hash= 121, offset=  0
hash= 144, offset=  1
hash= 169, offset=  5
hash= 196, offset=  3
hash= 225, offset=  8
hash= 256, offset=  0
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hash= 361, offset=  6
hash= 400, offset= 10
hash= 441, offset=  0
hash= 484, offset=  0
hash= 529, offset=  1
hash= 576, offset=  5
hash= 625, offset=  3
hash= 676, offset=  8
hash= 729, offset=  0
hash= 784, offset=  3
hash= 841, offset=  8
hash= 900, offset=  6
hash= 961, offset= 10
hash=1024, offset=  0
1 1 0 1 0 1 1 0 1 0 1
Slots used: 7 (0.636364)
Tablesize: 11, start: 1
hash=   0, offset=  1
hash=   1, offset=  2
hash=   4, offset=  6
hash=   9, offset=  4
hash=  16, offset=  9
hash=  25, offset=  1
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hash=  49, offset=  9
hash=  64, offset=  7
hash=  81, offset=  0
hash= 100, offset=  1
hash= 121, offset=  1
hash= 144, offset=  2
hash= 169, offset=  6
hash= 196, offset=  4
hash= 225, offset=  9
hash= 256, offset=  1
hash= 289, offset=  4
hash= 324, offset=  9
hash= 361, offset=  7
hash= 400, offset=  0
hash= 441, offset=  1
hash= 484, offset=  1
hash= 529, offset=  2
hash= 576, offset=  6
hash= 625, offset=  4
hash= 676, offset=  9
hash= 729, offset=  1
hash= 784, offset=  4
hash= 841, offset=  9
hash= 900, offset=  7
hash= 961, offset=  0
hash=1024, offset=  1
1 1 1 0 1 0 1 1 0 1 0
Slots used: 7 (0.636364)
Tablesize: 11, start: 2
hash=   0, offset=  2
hash=   1, offset=  3
hash=   4, offset=  7
hash=   9, offset=  5
hash=  16, offset= 10
hash=  25, offset=  2
hash=  36, offset=  5
hash=  49, offset= 10
hash=  64, offset=  8
hash=  81, offset=  1
hash= 100, offset=  2
hash= 121, offset=  2
hash= 144, offset=  3
hash= 169, offset=  7
hash= 196, offset=  5
hash= 225, offset= 10
hash= 256, offset=  2
hash= 289, offset=  5
hash= 324, offset= 10
hash= 361, offset=  8
hash= 400, offset=  1
hash= 441, offset=  2
hash= 484, offset=  2
hash= 529, offset=  3
hash= 576, offset=  7
hash= 625, offset=  5
hash= 676, offset= 10
hash= 729, offset=  2
hash= 784, offset=  5
hash= 841, offset= 10
hash= 900, offset=  8
hash= 961, offset=  1
hash=1024, offset=  2
0 1 1 1 0 1 0 1 1 0 1
Slots used: 7 (0.636364)
Tablesize: 11, start: 3
hash=   0, offset=  3
hash=   1, offset=  4
hash=   4, offset=  8
hash=   9, offset=  6
hash=  16, offset=  0
hash=  25, offset=  3
hash=  36, offset=  6
hash=  49, offset=  0
hash=  64, offset=  9
hash=  81, offset=  2
hash= 100, offset=  3
hash= 121, offset=  3
hash= 144, offset=  4
hash= 169, offset=  8
hash= 196, offset=  6
hash= 225, offset=  0
hash= 256, offset=  3
hash= 289, offset=  6
hash= 324, offset=  0
hash= 361, offset=  9
hash= 400, offset=  2
hash= 441, offset=  3
hash= 484, offset=  3
hash= 529, offset=  4
hash= 576, offset=  8
hash= 625, offset=  6
hash= 676, offset=  0
hash= 729, offset=  3
hash= 784, offset=  6
hash= 841, offset=  0
hash= 900, offset=  9
hash= 961, offset=  2
hash=1024, offset=  3
1 0 1 1 1 0 1 0 1 1 0
Slots used: 7 (0.636364)
Tablesize: 11, start: 4
hash=   0, offset=  4
hash=   1, offset=  5
hash=   4, offset=  9
hash=   9, offset=  7
hash=  16, offset=  1
hash=  25, offset=  4
hash=  36, offset=  7
hash=  49, offset=  1
hash=  64, offset= 10
hash=  81, offset=  3
hash= 100, offset=  4
hash= 121, offset=  4
hash= 144, offset=  5
hash= 169, offset=  9
hash= 196, offset=  7
hash= 225, offset=  1
hash= 256, offset=  4
hash= 289, offset=  7
hash= 324, offset=  1
hash= 361, offset= 10
hash= 400, offset=  3
hash= 441, offset=  4
hash= 484, offset=  4
hash= 529, offset=  5
hash= 576, offset=  9
hash= 625, offset=  7
hash= 676, offset=  1
hash= 729, offset=  4
hash= 784, offset=  7
hash= 841, offset=  1
hash= 900, offset= 10
hash= 961, offset=  3
hash=1024, offset=  4
0 1 0 1 1 1 0 1 0 1 1
Slots used: 7 (0.636364)
Tablesize: 11, start: 5
hash=   0, offset=  5
hash=   1, offset=  6
hash=   4, offset= 10
hash=   9, offset=  8
hash=  16, offset=  2
hash=  25, offset=  5
hash=  36, offset=  8
hash=  49, offset=  2
hash=  64, offset=  0
hash=  81, offset=  4
hash= 100, offset=  5
hash= 121, offset=  5
hash= 144, offset=  6
hash= 169, offset= 10
hash= 196, offset=  8
hash= 225, offset=  2
hash= 256, offset=  5
hash= 289, offset=  8
hash= 324, offset=  2
hash= 361, offset=  0
hash= 400, offset=  4
hash= 441, offset=  5
hash= 484, offset=  5
hash= 529, offset=  6
hash= 576, offset= 10
hash= 625, offset=  8
hash= 676, offset=  2
hash= 729, offset=  5
hash= 784, offset=  8
hash= 841, offset=  2
hash= 900, offset=  0
hash= 961, offset=  4
hash=1024, offset=  5
1 0 1 0 1 1 1 0 1 0 1
Slots used: 7 (0.636364)
Tablesize: 11, start: 6
hash=   0, offset=  6
hash=   1, offset=  7
hash=   4, offset=  0
hash=   9, offset=  9
hash=  16, offset=  3
hash=  25, offset=  6
hash=  36, offset=  9
hash=  49, offset=  3
hash=  64, offset=  1
hash=  81, offset=  5
hash= 100, offset=  6
hash= 121, offset=  6
hash= 144, offset=  7
hash= 169, offset=  0
hash= 196, offset=  9
hash= 225, offset=  3
hash= 256, offset=  6
hash= 289, offset=  9
hash= 324, offset=  3
hash= 361, offset=  1
hash= 400, offset=  5
hash= 441, offset=  6
hash= 484, offset=  6
hash= 529, offset=  7
hash= 576, offset=  0
hash= 625, offset=  9
hash= 676, offset=  3
hash= 729, offset=  6
hash= 784, offset=  9
hash= 841, offset=  3
hash= 900, offset=  1
hash= 961, offset=  5
hash=1024, offset=  6
1 1 0 1 0 1 1 1 0 1 0
Slots used: 7 (0.636364)
Tablesize: 11, start: 7
hash=   0, offset=  7
hash=   1, offset=  8
hash=   4, offset=  1
hash=   9, offset= 10
hash=  16, offset=  4
hash=  25, offset=  7
hash=  36, offset= 10
hash=  49, offset=  4
hash=  64, offset=  2
hash=  81, offset=  6
hash= 100, offset=  7
hash= 121, offset=  7
hash= 144, offset=  8
hash= 169, offset=  1
hash= 196, offset= 10
hash= 225, offset=  4
hash= 256, offset=  7
hash= 289, offset= 10
hash= 324, offset=  4
hash= 361, offset=  2
hash= 400, offset=  6
hash= 441, offset=  7
hash= 484, offset=  7
hash= 529, offset=  8
hash= 576, offset=  1
hash= 625, offset= 10
hash= 676, offset=  4
hash= 729, offset=  7
hash= 784, offset= 10
hash= 841, offset=  4
hash= 900, offset=  2
hash= 961, offset=  6
hash=1024, offset=  7
0 1 1 0 1 0 1 1 1 0 1
Slots used: 7 (0.636364)
Tablesize: 11, start: 8
hash=   0, offset=  8
hash=   1, offset=  9
hash=   4, offset=  2
hash=   9, offset=  0
hash=  16, offset=  5
hash=  25, offset=  8
hash=  36, offset=  0
hash=  49, offset=  5
hash=  64, offset=  3
hash=  81, offset=  7
hash= 100, offset=  8
hash= 121, offset=  8
hash= 144, offset=  9
hash= 169, offset=  2
hash= 196, offset=  0
hash= 225, offset=  5
hash= 256, offset=  8
hash= 289, offset=  0
hash= 324, offset=  5
hash= 361, offset=  3
hash= 400, offset=  7
hash= 441, offset=  8
hash= 484, offset=  8
hash= 529, offset=  9
hash= 576, offset=  2
hash= 625, offset=  0
hash= 676, offset=  5
hash= 729, offset=  8
hash= 784, offset=  0
hash= 841, offset=  5
hash= 900, offset=  3
hash= 961, offset=  7
hash=1024, offset=  8
1 0 1 1 0 1 0 1 1 1 0
Slots used: 7 (0.636364)
Tablesize: 11, start: 9
hash=   0, offset=  9
hash=   1, offset= 10
hash=   4, offset=  3
hash=   9, offset=  1
hash=  16, offset=  6
hash=  25, offset=  9
hash=  36, offset=  1
hash=  49, offset=  6
hash=  64, offset=  4
hash=  81, offset=  8
hash= 100, offset=  9
hash= 121, offset=  9
hash= 144, offset= 10
hash= 169, offset=  3
hash= 196, offset=  1
hash= 225, offset=  6
hash= 256, offset=  9
hash= 289, offset=  1
hash= 324, offset=  6
hash= 361, offset=  4
hash= 400, offset=  8
hash= 441, offset=  9
hash= 484, offset=  9
hash= 529, offset= 10
hash= 576, offset=  3
hash= 625, offset=  1
hash= 676, offset=  6
hash= 729, offset=  9
hash= 784, offset=  1
hash= 841, offset=  6
hash= 900, offset=  4
hash= 961, offset=  8
hash=1024, offset=  9
0 1 0 1 1 0 1 0 1 1 1
Slots used: 7 (0.636364)
Tablesize: 11, start: 10
hash=   0, offset= 10
hash=   1, offset=  0
hash=   4, offset=  4
hash=   9, offset=  2
hash=  16, offset=  7
hash=  25, offset= 10
hash=  36, offset=  2
hash=  49, offset=  7
hash=  64, offset=  5
hash=  81, offset=  9
hash= 100, offset= 10
hash= 121, offset= 10
hash= 144, offset=  0
hash= 169, offset=  4
hash= 196, offset=  2
hash= 225, offset=  7
hash= 256, offset= 10
hash= 289, offset=  2
hash= 324, offset=  7
hash= 361, offset=  5
hash= 400, offset=  9
hash= 441, offset= 10
hash= 484, offset= 10
hash= 529, offset=  0
hash= 576, offset=  4
hash= 625, offset=  2
hash= 676, offset=  7
hash= 729, offset= 10
hash= 784, offset=  2
hash= 841, offset=  7
hash= 900, offset=  5
hash= 961, offset=  9
hash=1024, offset= 10
1 0 1 0 1 1 0 1 0 1 1
Slots used: 7 (0.636364)


Tablesize = 17
Tablesize: 17, start: 0
hash=   0, offset=  0
hash=   1, offset=  1
hash=   4, offset=  5
hash=   9, offset= 14
hash=  16, offset= 13
hash=  25, offset=  4
hash=  36, offset=  6
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hash= 100, offset= 11
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hash= 144, offset=  4
hash= 169, offset=  3
hash= 196, offset= 12
hash= 225, offset= 16
hash= 256, offset=  0
hash= 289, offset=  0
hash= 324, offset=  1
hash= 361, offset=  5
hash= 400, offset= 14
hash= 441, offset= 13
hash= 484, offset=  4
hash= 529, offset=  6
hash= 576, offset=  4
hash= 625, offset=  0
hash= 676, offset= 13
hash= 729, offset= 11
hash= 784, offset= 13
hash= 841, offset=  4
hash= 900, offset=  3
hash= 961, offset= 12
hash=1024, offset= 16
hash=1089, offset=  0
hash=1156, offset=  0
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hash=1444, offset= 13
hash=1521, offset=  4
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hash=1681, offset=  4
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hash=1936, offset= 11
hash=2025, offset= 13
hash=2116, offset=  4
hash=2209, offset=  3
hash=2304, offset= 12
hash=2401, offset= 16
hash=2500, offset=  0
11011110000111101
Slots used: 11 (0.647059)
Tablesize: 17, start: 1
hash=   0, offset=  1
hash=   1, offset=  2
hash=   4, offset=  6
hash=   9, offset= 15
hash=  16, offset= 14
hash=  25, offset=  5
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hash=  49, offset=  5
hash=  64, offset=  1
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hash= 100, offset= 12
hash= 121, offset= 14
hash= 144, offset=  5
hash= 169, offset=  4
hash= 196, offset= 13
hash= 225, offset=  0
hash= 256, offset=  1
hash= 289, offset=  1
hash= 324, offset=  2
hash= 361, offset=  6
hash= 400, offset= 15
hash= 441, offset= 14
hash= 484, offset=  5
hash= 529, offset=  7
hash= 576, offset=  5
hash= 625, offset=  1
hash= 676, offset= 14
hash= 729, offset= 12
hash= 784, offset= 14
hash= 841, offset=  5
hash= 900, offset=  4
hash= 961, offset= 13
hash=1024, offset=  0
hash=1089, offset=  1
hash=1156, offset=  1
hash=1225, offset=  2
hash=1296, offset=  6
hash=1369, offset= 15
hash=1444, offset= 14
hash=1521, offset=  5
hash=1600, offset=  7
hash=1681, offset=  5
hash=1764, offset=  1
hash=1849, offset= 14
hash=1936, offset= 12
hash=2025, offset= 14
hash=2116, offset=  5
hash=2209, offset=  4
hash=2304, offset= 13
hash=2401, offset=  0
hash=2500, offset=  1
11101111000011110
Slots used: 11 (0.647059)
Tablesize: 17, start: 2
hash=   0, offset=  2
hash=   1, offset=  3
hash=   4, offset=  7
hash=   9, offset= 16
hash=  16, offset= 15
hash=  25, offset=  6
hash=  36, offset=  8
hash=  49, offset=  6
hash=  64, offset=  2
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hash= 100, offset= 13
hash= 121, offset= 15
hash= 144, offset=  6
hash= 169, offset=  5
hash= 196, offset= 14
hash= 225, offset=  1
hash= 256, offset=  2
hash= 289, offset=  2
hash= 324, offset=  3
hash= 361, offset=  7
hash= 400, offset= 16
hash= 441, offset= 15
hash= 484, offset=  6
hash= 529, offset=  8
hash= 576, offset=  6
hash= 625, offset=  2
hash= 676, offset= 15
hash= 729, offset= 13
hash= 784, offset= 15
hash= 841, offset=  6
hash= 900, offset=  5
hash= 961, offset= 14
hash=1024, offset=  1
hash=1089, offset=  2
hash=1156, offset=  2
hash=1225, offset=  3
hash=1296, offset=  7
hash=1369, offset= 16
hash=1444, offset= 15
hash=1521, offset=  6
hash=1600, offset=  8
hash=1681, offset=  6
hash=1764, offset=  2
hash=1849, offset= 15
hash=1936, offset= 13
hash=2025, offset= 15
hash=2116, offset=  6
hash=2209, offset=  5
hash=2304, offset= 14
hash=2401, offset=  1
hash=2500, offset=  2
01110111100001111
Slots used: 11 (0.647059)
Tablesize: 17, start: 3
hash=   0, offset=  3
hash=   1, offset=  4
hash=   4, offset=  8
hash=   9, offset=  0
hash=  16, offset= 16
hash=  25, offset=  7
hash=  36, offset=  9
hash=  49, offset=  7
hash=  64, offset=  3
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hash= 100, offset= 14
hash= 121, offset= 16
hash= 144, offset=  7
hash= 169, offset=  6
hash= 196, offset= 15
hash= 225, offset=  2
hash= 256, offset=  3
hash= 289, offset=  3
hash= 324, offset=  4
hash= 361, offset=  8
hash= 400, offset=  0
hash= 441, offset= 16
hash= 484, offset=  7
hash= 529, offset=  9
hash= 576, offset=  7
hash= 625, offset=  3
hash= 676, offset= 16
hash= 729, offset= 14
hash= 784, offset= 16
hash= 841, offset=  7
hash= 900, offset=  6
hash= 961, offset= 15
hash=1024, offset=  2
hash=1089, offset=  3
hash=1156, offset=  3
hash=1225, offset=  4
hash=1296, offset=  8
hash=1369, offset=  0
hash=1444, offset= 16
hash=1521, offset=  7
hash=1600, offset=  9
hash=1681, offset=  7
hash=1764, offset=  3
hash=1849, offset= 16
hash=1936, offset= 14
hash=2025, offset= 16
hash=2116, offset=  7
hash=2209, offset=  6
hash=2304, offset= 15
hash=2401, offset=  2
hash=2500, offset=  3
10111011110000111
Slots used: 11 (0.647059)
Tablesize: 17, start: 4
hash=   0, offset=  4
hash=   1, offset=  5
hash=   4, offset=  9
hash=   9, offset=  1
hash=  16, offset=  0
hash=  25, offset=  8
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hash=  64, offset=  4
hash=  81, offset=  0
hash= 100, offset= 15
hash= 121, offset=  0
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hash= 169, offset=  7
hash= 196, offset= 16
hash= 225, offset=  3
hash= 256, offset=  4
hash= 289, offset=  4
hash= 324, offset=  5
hash= 361, offset=  9
hash= 400, offset=  1
hash= 441, offset=  0
hash= 484, offset=  8
hash= 529, offset= 10
hash= 576, offset=  8
hash= 625, offset=  4
hash= 676, offset=  0
hash= 729, offset= 15
hash= 784, offset=  0
hash= 841, offset=  8
hash= 900, offset=  7
hash= 961, offset= 16
hash=1024, offset=  3
hash=1089, offset=  4
hash=1156, offset=  4
hash=1225, offset=  5
hash=1296, offset=  9
hash=1369, offset=  1
hash=1444, offset=  0
hash=1521, offset=  8
hash=1600, offset= 10
hash=1681, offset=  8
hash=1764, offset=  4
hash=1849, offset=  0
hash=1936, offset= 15
hash=2025, offset=  0
hash=2116, offset=  8
hash=2209, offset=  7
hash=2304, offset= 16
hash=2401, offset=  3
hash=2500, offset=  4
11011101111000011
Slots used: 11 (0.647059)
Tablesize: 17, start: 5
hash=   0, offset=  5
hash=   1, offset=  6
hash=   4, offset= 10
hash=   9, offset=  2
hash=  16, offset=  1
hash=  25, offset=  9
hash=  36, offset= 11
hash=  49, offset=  9
hash=  64, offset=  5
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hash= 100, offset= 16
hash= 121, offset=  1
hash= 144, offset=  9
hash= 169, offset=  8
hash= 196, offset=  0
hash= 225, offset=  4
hash= 256, offset=  5
hash= 289, offset=  5
hash= 324, offset=  6
hash= 361, offset= 10
hash= 400, offset=  2
hash= 441, offset=  1
hash= 484, offset=  9
hash= 529, offset= 11
hash= 576, offset=  9
hash= 625, offset=  5
hash= 676, offset=  1
hash= 729, offset= 16
hash= 784, offset=  1
hash= 841, offset=  9
hash= 900, offset=  8
hash= 961, offset=  0
hash=1024, offset=  4
hash=1089, offset=  5
hash=1156, offset=  5
hash=1225, offset=  6
hash=1296, offset= 10
hash=1369, offset=  2
hash=1444, offset=  1
hash=1521, offset=  9
hash=1600, offset= 11
hash=1681, offset=  9
hash=1764, offset=  5
hash=1849, offset=  1
hash=1936, offset= 16
hash=2025, offset=  1
hash=2116, offset=  9
hash=2209, offset=  8
hash=2304, offset=  0
hash=2401, offset=  4
hash=2500, offset=  5
11101110111100001
Slots used: 11 (0.647059)
Tablesize: 17, start: 6
hash=   0, offset=  6
hash=   1, offset=  7
hash=   4, offset= 11
hash=   9, offset=  3
hash=  16, offset=  2
hash=  25, offset= 10
hash=  36, offset= 12
hash=  49, offset= 10
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hash=  81, offset=  2
hash= 100, offset=  0
hash= 121, offset=  2
hash= 144, offset= 10
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hash= 196, offset=  1
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hash= 256, offset=  6
hash= 289, offset=  6
hash= 324, offset=  7
hash= 361, offset= 11
hash= 400, offset=  3
hash= 441, offset=  2
hash= 484, offset= 10
hash= 529, offset= 12
hash= 576, offset= 10
hash= 625, offset=  6
hash= 676, offset=  2
hash= 729, offset=  0
hash= 784, offset=  2
hash= 841, offset= 10
hash= 900, offset=  9
hash= 961, offset=  1
hash=1024, offset=  5
hash=1089, offset=  6
hash=1156, offset=  6
hash=1225, offset=  7
hash=1296, offset= 11
hash=1369, offset=  3
hash=1444, offset=  2
hash=1521, offset= 10
hash=1600, offset= 12
hash=1681, offset= 10
hash=1764, offset=  6
hash=1849, offset=  2
hash=1936, offset=  0
hash=2025, offset=  2
hash=2116, offset= 10
hash=2209, offset=  9
hash=2304, offset=  1
hash=2401, offset=  5
hash=2500, offset=  6
11110111011110000
Slots used: 11 (0.647059)
Tablesize: 17, start: 7
hash=   0, offset=  7
hash=   1, offset=  8
hash=   4, offset= 12
hash=   9, offset=  4
hash=  16, offset=  3
hash=  25, offset= 11
hash=  36, offset= 13
hash=  49, offset= 11
hash=  64, offset=  7
hash=  81, offset=  3
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Slots used: 11 (0.647059)


Tablesize = 23
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Slots used: 15 (0.652174)
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Slots used: 15 (0.652174)
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Slots used: 15 (0.652174)
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Slots used: 15 (0.652174)
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Slots used: 15 (0.652174)
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Slots used: 15 (0.652174)
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Slots used: 15 (0.652174)
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Slots used: 15 (0.652174)