is_thoughtful
bool
uuid
string
chunk_index
int64
chunk_start_index
int64
chunk_end_index
int64
num_scored_tokens
int64
input_ids
list
thought_text
list
g
list
truncated
list
thoughtless_log_prob_sum
float32
thoughtless_log_prob_per_token
list
thoughtful_log_prob_sum
list
thoughtful_log_prob_per_token
list
false
01661b2d-c004-4764-b1d4-0168680003ce
0
0
32
31
[]
[]
[]
[]
-96.373566
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
1
32
64
32
[]
[]
[]
[]
-44.959293
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
2
64
96
32
[]
[]
[]
[]
-86.750854
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
3
96
128
32
[]
[]
[]
[]
-40.813103
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
4
128
160
32
[]
[]
[]
[]
-94.60321
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
5
160
192
32
[]
[]
[]
[]
-100.071693
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
6
192
224
32
[]
[]
[]
[]
-44.826065
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
7
224
256
32
[]
[]
[]
[]
-30.228266
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
8
256
288
32
[]
[]
[]
[]
-14.883159
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
9
288
320
32
[]
[]
[]
[]
-44.988338
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
10
320
352
32
[]
[]
[]
[]
-72.655136
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
11
352
384
32
[]
[]
[]
[]
-47.694298
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
12
384
416
32
[]
[]
[]
[]
-71.729401
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
13
416
448
32
[]
[]
[]
[]
-44.611507
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
14
448
480
32
[]
[]
[]
[]
-30.183952
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
15
480
512
32
[]
[]
[]
[]
-16.983864
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
16
512
544
32
[]
[]
[]
[]
-76.118843
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
17
544
576
32
[]
[]
[]
[]
-45.144051
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
18
576
608
32
[]
[]
[]
[]
-97.872971
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
19
608
640
32
[]
[]
[]
[]
-46.749084
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
20
640
672
32
[]
[]
[]
[]
-78.114731
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
21
672
704
32
[]
[]
[]
[]
-69.583328
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
22
704
736
32
[]
[]
[]
[]
-60.616455
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
23
736
768
32
[]
[]
[]
[]
-70.92244
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
24
768
800
32
[]
[]
[]
[]
-36.779976
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
25
800
832
32
[]
[]
[]
[]
-99.845886
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
26
832
864
32
[]
[]
[]
[]
-37.861485
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
27
864
896
32
[]
[]
[]
[]
-33.917622
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
28
896
928
32
[]
[]
[]
[]
-58.967415
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
29
928
960
32
[]
[]
[]
[]
-51.613323
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
30
960
992
32
[]
[]
[]
[]
-30.467428
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
31
992
1,024
32
[]
[]
[]
[]
-26.011784
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
32
1,024
1,056
32
[]
[]
[]
[]
-28.938011
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
33
1,056
1,088
32
[]
[]
[]
[]
-21.604074
null
[]
[]
true
01661b2d-c004-4764-b1d4-0168680003ce
34
1,088
1,120
32
[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 81493, 4766, 279, 12111, 594, 1946, 25128, 11, 11689, 1283, 1565, 49, 59, 258, 1124, 10374, 6066, 90, 49, 92, 47822, 76, 2568, 1124, 15136, ...
[ "<thought>\nThe cut occurs mid-expression inside the algorithm's input specification, specifically after `R\\in \\mathbb{R}^{m_R \\times` — the multiplication symbol `\\times` is incomplete, and the next token must be the second dimension of the matrix $ R $. Since $ R $ is a right sketch matrix, it is standard in ...
[ 0 ]
[ false ]
-55.363167
[ -3.0625, -0.0908203125, -3.890625, -0.88671875, -0.291015625, -0.345703125, -0.00179290771484375, -9, -0.85546875, -5.15625, -0.87109375, -7.84375, -1.234375, -1.3984375, -0.0179443359375, -0.0267333984375, -0.00021266937255859375, -0.000006794929504394531, -0.0000180006027221679...
[ -49.04902648925781 ]
[ [ -1.75, -0.09130859375, -2.71875, -0.8046875, -0.5390625, -0.55859375, -0.0034942626953125, -8.25, -1.0078125, -3.6875, -1.1015625, -7.375, -1.328125, -1.0234375, -0.02001953125, -0.011474609375, -0.000797271728515625, -0.000007390975952148437...
false
01661b2d-c004-4764-b1d4-0168680003ce
35
1,120
1,152
32
[]
[]
[]
[]
-82.532562
null
[]
[]
true
01661b2d-c004-4764-b1d4-0168680003ce
36
1,152
1,184
32
[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 89050, 304, 279, 12111, 594, 5029, 11, 11689, 4766, 279, 1555, 91405, 787, 19714, 7003, 32, 1124, 258, 1124, 10374, 6066, 90, 49, 92, 47822, ...
[ "<thought>\nThe cut occurs mid-definition in the algorithm's parameters, specifically inside the line `\\REQUIRE{$A \\in \\mathbb{R}^{n \\times d}, S\\in \\mathbb{R}^{m_S \\times n}, R\\in \\mathbb{R}^{m_R \\times d}, V \\in \\mathbb{R}^{m_V \\times` where the matrix $ V $ is being introduced but its dimensions are...
[ 0 ]
[ false ]
-52.20739
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[ -51.183650970458984 ]
[ [ -0.359375, -2.578125, -5.25, -0.0014190673828125, -0.31640625, -1.484375, -1.234375, -0.00823974609375, -2.1875, -5, -1.6640625, -0.1279296875, -0.06689453125, -2.921875, -0.703125, -1.8828125, -5.15625, -4.375, -4.875, -5.75, -0....
false
01661b2d-c004-4764-b1d4-0168680003ce
37
1,184
1,216
32
[]
[]
[]
[]
-108.804199
null
[]
[]
true
01661b2d-c004-4764-b1d4-0168680003ce
38
1,216
1,248
32
[ [ 13708, 2450, 397, 785, 12111, 374, 1660, 4512, 448, 264, 1140, 315, 2567, 5029, 13, 576, 1537, 1555, 4933, 279, 1191, 315, 279, 1124, 1318, 5566, 90, 787, 19714, 92, 2504, 11, 14838,...
[ "<thought>\nThe algorithm is being defined with a list of required parameters. The last line shows the start of the \\texttt{REQUIRE} block, listing matrices $A$, $S$, $R$, $V$, and $W$, each with their respective dimensions. The final matrix $W$ is incomplete, and the next token must be its dimension specification...
[ 0 ]
[ false ]
-71.266068
[ -0.64453125, -2.015625, -2.375, -1.8828125, -6.0625, -7.6875, -7.65625, -3.296875, -2.328125, -5.1875, -0.29296875, -2.84375, -2.078125, -0.1689453125, -0.00015354156494140625, -1.3046875, -0.00011777877807617188, -2.046875, -0.287109375, -0.000278472900390625, -0.7109375, ...
[ -74.32139587402344 ]
[ [ -2.265625, -2.796875, -2.015625, -2.8125, -5.28125, -7.46875, -8.0625, -4.0625, -1.703125, -6.25, -0.2392578125, -2.609375, -1.4609375, -0.25390625, -0.0001316070556640625, -1.5390625, -0.00012969970703125, -2.109375, -0.318359375, -0...
false
01661b2d-c004-4764-b1d4-0168680003ce
39
1,248
1,280
32
[]
[]
[]
[]
-48.657715
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
40
1,280
1,312
32
[]
[]
[]
[]
-56.723419
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
41
1,312
1,344
32
[]
[]
[]
[]
-47.573986
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
42
1,344
1,376
32
[]
[]
[]
[]
-65.935066
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
43
1,376
1,408
32
[]
[]
[]
[]
-58.487892
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
44
1,408
1,440
32
[]
[]
[]
[]
-50.040363
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
45
1,440
1,472
32
[]
[]
[]
[]
-48.346146
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
46
1,472
1,504
32
[]
[]
[]
[]
-18.489983
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
47
1,504
1,536
32
[]
[]
[]
[]
-59.309059
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
48
1,536
1,568
32
[]
[]
[]
[]
-50.704155
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
49
1,568
1,600
32
[]
[]
[]
[]
-39.991833
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
50
1,600
1,632
32
[]
[]
[]
[]
-45.200802
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
51
1,632
1,664
32
[]
[]
[]
[]
-20.73514
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
52
1,664
1,696
32
[]
[]
[]
[]
-44.782703
null
[]
[]
true
01661b2d-c004-4764-b1d4-0168680003ce
53
1,696
1,728
32
[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 12, 29951, 304, 279, 12111, 594, 2086, 3019, 11, 11689, 4766, 279, 7493, 400, 57, 2351, 47822, 8275, 1863, 2568, 47822, 8275, 1124, 2359, 6044, ...
[ "<thought>\nThe cut occurs mid-assignment in the algorithm's second step, specifically inside the expression $Z_L^{'} Z_R^{'} \\leftarrow [U^\\ldots$. The next 8 tokens are likely to complete the matrix construction, probably involving $U_C$ or $U_D$ from the first step. Given the context and the notation, the next...
[ 0 ]
[ false ]
-15.309453
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[ -15.09326171875 ]
[ [ -0.0299072265625, -3.625, -0.16015625, -0.0029144287109375, -0.000045299530029296875, -0.00005125999450683594, -0.0517578125, -0.00897216796875, -0.035888671875, -0.08251953125, -0.7265625, -0.0098876953125, -0.00018978118896484375, -0.0023956298828125, ...
false
01661b2d-c004-4764-b1d4-0168680003ce
54
1,728
1,760
32
[]
[]
[]
[]
-12.371334
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
55
1,760
1,792
32
[]
[]
[]
[]
-68.015244
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
56
1,792
1,824
32
[]
[]
[]
[]
-69.055252
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
57
1,824
1,856
32
[]
[]
[]
[]
-75.971649
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
58
1,856
1,888
32
[]
[]
[]
[]
-41.922394
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
59
1,888
1,920
32
[]
[]
[]
[]
-22.682362
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
60
1,920
1,952
32
[]
[]
[]
[]
-36.462151
null
[]
[]
true
01661b2d-c004-4764-b1d4-0168680003ce
61
1,952
1,984
32
[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1448, 2555, 8086, 304, 279, 4843, 1555, 315, 279, 12111, 11, 11689, 304, 279, 7271, 315, 400, 1863, 2351, 8672, 576, 1537, 3950, 374, 279, 8...
[ "<thought>\nThe cut occurs mid-matrix construction in the third line of the algorithm, specifically in the definition of $ Z_L $. The last token is the opening bracket of a row vector, with $ Z_L^{'} (T_D^{-1})^{\\top} $ already given. The next token must be a separator (likely a column separator like `&`) followed...
[ 0 ]
[ false ]
-78.010742
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[ -77.59912109375 ]
[ [ -0.06298828125, -0.287109375, -0.04931640625, -6.53125, -3.8125, -1.3046875, -4.46875, -1.3125, -4.6875, -0.076171875, -6.1875, -0.82421875, -1.0234375, -0.416015625, -6.625, -9.1875, -2.171875, -2.234375, -0.6328125, -0.6171875, ...
false
01661b2d-c004-4764-b1d4-0168680003ce
62
1,984
2,016
32
[]
[]
[]
[]
-71.771736
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
63
2,016
2,048
32
[]
[]
[]
[]
-81.555824
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
64
2,048
2,080
32
[]
[]
[]
[]
-47.524216
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
65
2,080
2,112
32
[]
[]
[]
[]
-94.928604
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
66
2,112
2,144
32
[]
[]
[]
[]
-65.711227
null
[]
[]
true
01661b2d-c004-4764-b1d4-0168680003ce
67
2,144
2,176
32
[ [ 13708, 2450, 397, 785, 1790, 220, 23, 11211, 686, 4558, 7838, 387, 279, 41171, 315, 279, 6172, 7493, 304, 279, 1590, 470, 5114, 11, 11689, 26568, 279, 6083, 25128, 429, 12033, 448, 4...
[ "<thought>\nThe next 8 tokens will almost certainly be the continuation of the matrix expression in the final return statement, specifically completing the shape specification that begins with $P_{n\\times k$. The token immediately after is almost certainly a closing brace, followed by a comma and the next dimensio...
[ 0 ]
[ false ]
-67.093262
[ -3.234375, -1.2890625, -0.5234375, -6.1875, -0.671875, -5.46875, -1.7734375, -1.3671875, -0.4453125, -6.8125, -0.08154296875, -0.8125, -0.30859375, -4.96875, -2.734375, -4.1875, -1.2734375, -0.9375, -1.4453125, -0.1982421875, -4.59375, -1.9453125, -4.5625, -1.0078125, ...
[ -65.732666015625 ]
[ [ -3.625, -1.21875, -0.49609375, -7.78125, -1.1328125, -4.875, -1.2890625, -0.6953125, -0.326171875, -5.875, -0.11767578125, -0.76171875, -0.259765625, -4.9375, -3.015625, -4.375, -0.99609375, -0.8046875, -1.5390625, -0.1669921875, ...
false
01661b2d-c004-4764-b1d4-0168680003ce
68
2,176
2,208
32
[]
[]
[]
[]
-32.748692
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
69
2,208
2,240
32
[]
[]
[]
[]
-44.229355
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
70
2,240
2,272
32
[]
[]
[]
[]
-19.297363
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
71
2,272
2,304
32
[]
[]
[]
[]
-42.007965
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
72
2,304
2,336
32
[]
[]
[]
[]
-73.147583
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
73
2,336
2,368
32
[]
[]
[]
[]
-61.050377
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
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[]
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null
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false
01661b2d-c004-4764-b1d4-0168680003ce
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[]
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null
[]
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false
01661b2d-c004-4764-b1d4-0168680003ce
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[]
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[]
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false
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[]
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[ "<thought>\nThe text cuts off mid-sentence during the phrase \"We start with,\" suggesting that the next few tokens will specify the initial step of the greedy construction process. The sentence is likely to name an initial configuration, data structure, or heuristic (e.g., \"an empty set,\" \"a random subset,\" \"...
[ 0 ]
[ false ]
-67.88446
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[ -70.1414794921875 ]
[ [ -0.94140625, -1.1484375, -5.03125, -5.90625, -0.64453125, -0.171875, -0.91796875, -0.84765625, -0.010498046875, -0.58203125, -0.0279541015625, -0.3203125, -4.84375, -3.8125, -3.71875, -1.0234375, -1.7734375, -1.1953125, -0.11376953125, ...
true
01661b2d-c004-4764-b1d4-0168680003ce
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[ [ 13708, 2450, 397, 785, 1790, 220, 23, 11211, 525, 1429, 4363, 311, 387, 1036, 437, 1221, 5367, 7887, 9336, 438, 279, 1467, 374, 5099, 1331, 18380, 11, 3432, 1101, 11523, 264, 55980, ...
[ "<thought>\nThe next 8 tokens are most likely to be “and then iteratively”, as the text is mid-sentence, having just introduced a greedy approach to constructing a full placement. The sentence structure is clearly building toward an explanation of the greedy method, and the grammatical flow requires a continuation ...
[ 0 ]
[ false ]
-62.132248
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[ -55.556297302246094 ]
[ [ -5.875, -4.96875, -3.578125, -1.78125, -3.203125, -0.1328125, -0.3515625, -0.2255859375, -0.58203125, -4.25, -0.057373046875, -9.5625, -5.03125, -0.0223388671875, -0.1455078125, -0.9296875, -0.1806640625, -0.04345703125, -0.515625, -5...
true
01661b2d-c004-4764-b1d4-0168680003ce
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2,880
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[ [ 13708, 2450, 397, 785, 3931, 13666, 5099, 1331, 18380, 11, 304, 279, 6149, 315, 22692, 279, 55980, 8086, 315, 279, 6172, 400, 50, 12947, 576, 17133, 330, 12209, 11, 582, 29629, 1526, ...
[ "<thought>\nThe cut occurs mid-sentence, in the middle of describing the greedy construction of the matrix $S$. The phrase \"Then, we iterate through the columns of\" is incomplete and expects a noun phrase specifying what is being iterated over—most likely the columns of a matrix involved in the hashing or sketchi...
[ 0 ]
[ false ]
-31.049238
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[ -31.5936279296875 ]
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false
01661b2d-c004-4764-b1d4-0168680003ce
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2,912
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[]
[]
[]
[]
-63.788574
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
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2,944
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[]
[]
[]
[]
-80.152435
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
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2,976
3,008
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[]
[]
[]
[]
-88.491066
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
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3,008
3,040
32
[]
[]
[]
[]
-95.559509
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
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3,040
3,072
32
[]
[]
[]
[]
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null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
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3,072
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[]
[]
[]
[]
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null
[]
[]
true
01661b2d-c004-4764-b1d4-0168680003ce
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[ [ 13708, 2450, 397, 785, 1467, 374, 5099, 1331, 18380, 11, 13391, 448, 1036, 2461, 1817, 3250, 2419, 323, 279, 1790, 2421, 11211, 686, 4363, 19131, 264, 1714, 476, 1882, 369, 11589, 1817, ...
[ "<thought>\nThe text is mid-sentence, ending with “For each column,” and the next few tokens will likely introduce a method or process for handling each column in the greedy construction of the matrix $S$. The local syntax suggests a continuation of the algorithmic description, possibly naming a loop or a specific ...
[ 0 ]
[ false ]
-73.987762
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[ -75.85006713867188 ]
[ [ -1.203125, -0.80078125, -3.578125, -0.0078125, -1.3515625, -4.15625, -0.275390625, -5.96875, -0.298828125, -0.087890625, -0.016845703125, -8.125, -1.28125, -0.5, -3.921875, -7.71875, -1.984375, -0.004119873046875, -7.4375, -0.96875, ...
false
01661b2d-c004-4764-b1d4-0168680003ce
98
3,136
3,168
32
[]
[]
[]
[]
-80.740883
null
[]
[]
false
01661b2d-c004-4764-b1d4-0168680003ce
99
3,168
3,200
32
[]
[]
[]
[]
-56.707031
null
[]
[]