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 | [
-0.4609375,
-3.359375,
-4.40625,
-0.000957489013671875,
-0.1728515625,
-1.3984375,
-1.34375,
-0.00897216796875,
-2.171875,
-5.3125,
-1.7734375,
-0.123046875,
-0.060546875,
-3.828125,
-0.59765625,
-1.65625,
-5.625,
-4.15625,
-4.6875,
-5.5625,
-0.0751953125,
-0.00466918945312... | [
-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 | [
-0.022705078125,
-2.5625,
-0.023193359375,
-0.0013427734375,
-0.000024557113647460938,
-0.00003266334533691406,
-0.0289306640625,
-0.01544189453125,
-0.050537109375,
-0.08642578125,
-1.421875,
-0.005279541015625,
-0.00017642974853515625,
-0.002166748046875,
-0.052734375,
-0.5234375,
... | [
-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 | [
-0.038330078125,
-0.197265625,
-0.056396484375,
-6.21875,
-3.734375,
-1.5,
-4.875,
-1.265625,
-4.40625,
-0.0732421875,
-6.0625,
-0.91015625,
-0.8671875,
-0.48828125,
-6.6875,
-9.1875,
-1.9375,
-2.734375,
-0.84375,
-0.52734375,
-0.4453125,
-1.5390625,
-0.1865234375,
-0.2... | [
-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 | 74 | 2,368 | 2,400 | 32 | [] | [] | [] | [] | -29.670483 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 75 | 2,400 | 2,432 | 32 | [] | [] | [] | [] | -30.396847 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 76 | 2,432 | 2,464 | 32 | [] | [] | [] | [] | -60.668762 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 77 | 2,464 | 2,496 | 32 | [] | [] | [] | [] | -60.911491 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 78 | 2,496 | 2,528 | 32 | [] | [] | [] | [] | -61.573486 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 79 | 2,528 | 2,560 | 32 | [] | [] | [] | [] | -8.99233 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 80 | 2,560 | 2,592 | 32 | [] | [] | [] | [] | -8.676012 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 81 | 2,592 | 2,624 | 32 | [] | [] | [] | [] | -94.34021 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 82 | 2,624 | 2,656 | 32 | [] | [] | [] | [] | -84.94165 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 83 | 2,656 | 2,688 | 32 | [] | [] | [] | [] | -68.111206 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 84 | 2,688 | 2,720 | 32 | [] | [] | [] | [] | -2.735451 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 85 | 2,720 | 2,752 | 32 | [] | [] | [] | [] | -48.46389 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 86 | 2,752 | 2,784 | 32 | [] | [] | [] | [] | -73.369415 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 87 | 2,784 | 2,816 | 32 | [] | [] | [] | [] | -82.182983 | null | [] | [] |
true | 01661b2d-c004-4764-b1d4-0168680003ce | 88 | 2,816 | 2,848 | 32 | [
[
13708,
2450,
397,
785,
1467,
15104,
1007,
5099,
1331,
18380,
2337,
279,
17133,
330,
1654,
1191,
448,
1335,
22561,
429,
279,
1790,
2421,
11211,
686,
13837,
279,
2856,
3019,
315,
279,
5598... | [
"<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 | [
-1.1015625,
-1.2578125,
-4.75,
-3.96875,
-0.6171875,
-0.23828125,
-0.76953125,
-1.046875,
-0.00970458984375,
-0.28125,
-0.024658203125,
-0.435546875,
-4.71875,
-4.4375,
-3.3125,
-1.4609375,
-1.5546875,
-1,
-0.142578125,
-1.6953125,
-4.25,
-1.9296875,
-5.46875,
-0.147460... | [
-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 | 89 | 2,848 | 2,880 | 32 | [
[
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 | [
-11.125,
-3.515625,
-3.515625,
-1.6328125,
-3.578125,
-0.08056640625,
-0.31640625,
-0.166015625,
-0.55078125,
-4.46875,
-0.05810546875,
-9.4375,
-5.875,
-0.032470703125,
-0.1455078125,
-1.046875,
-0.1298828125,
-0.042236328125,
-0.4765625,
-7.0625,
-0.0103759765625,
-2.6875... | [
-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 | 90 | 2,880 | 2,912 | 32 | [
[
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 | [
-0.0361328125,
-0.67578125,
-0.0003948211669921875,
-0.0223388671875,
-0.013427734375,
-2.078125,
-0.33984375,
-0.00909423828125,
-0.470703125,
-0.51171875,
-0.55859375,
-0.0400390625,
-0.034912109375,
-0.0172119140625,
-0.19921875,
-0.283203125,
-0.9296875,
-0.03955078125,
-0.11... | [
-31.5936279296875
] | [
[
-0.03173828125,
-1.09375,
-0.00079345703125,
-0.043701171875,
-0.037353515625,
-2.328125,
-0.234375,
-0.00811767578125,
-1.734375,
-0.5859375,
-0.6640625,
-0.049072265625,
-0.05908203125,
-0.0322265625,
-0.25,
-0.279296875,
-0.8671875,
-0.038... |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 91 | 2,912 | 2,944 | 32 | [] | [] | [] | [] | -63.788574 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 92 | 2,944 | 2,976 | 32 | [] | [] | [] | [] | -80.152435 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 93 | 2,976 | 3,008 | 32 | [] | [] | [] | [] | -88.491066 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 94 | 3,008 | 3,040 | 32 | [] | [] | [] | [] | -95.559509 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 95 | 3,040 | 3,072 | 32 | [] | [] | [] | [] | -67.910889 | null | [] | [] |
false | 01661b2d-c004-4764-b1d4-0168680003ce | 96 | 3,072 | 3,104 | 32 | [] | [] | [] | [] | -51.978546 | null | [] | [] |
true | 01661b2d-c004-4764-b1d4-0168680003ce | 97 | 3,104 | 3,136 | 32 | [
[
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 | [
-1.375,
-0.462890625,
-3.046875,
-0.007659912109375,
-1.2265625,
-3.8125,
-0.28125,
-6.03125,
-0.265625,
-0.0615234375,
-0.0247802734375,
-7.59375,
-0.9609375,
-0.40625,
-3.546875,
-7.9375,
-1.6953125,
-0.004150390625,
-8.6875,
-0.796875,
-5.34375,
-0.796875,
-0.255859375... | [
-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 | [] | [] |
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