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22
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
84.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.5
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
14.444444444444446
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
5.2
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
15.2
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
19.642857142857142
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
3.9999999999999996
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
91.42857142857143
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
3.9506172839506166
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
10.619469026548673
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.07367229997471786
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.24748737341529162
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
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[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
1.5852494671236679
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
57.9555495773441
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
1.5000000000000002
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
1.5
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
30.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.8660254037844386
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
20.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
87.49999999999999
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
5.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.6666666666666643
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
19.999999999999968
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
31.96349953926487
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
7.0710678118654755
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
25.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.2136752136752136
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.08825786646201073
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
37.5
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
22.78481012658228
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
142.85714285714283
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
248.4097799526551
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
4.999999999895833e-05
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
9.169826295285768
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
5.718391382198319
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
15.660459763365825
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
20.80370442125774
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
42.66666666666667
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
19.809088823063014
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.671056992006246
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
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[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
21.485973536787423
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.985
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
13.42125
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
64.58123107971745
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
49.99999999999999
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.0033088235294117647
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.24743582965269675
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
1.3157894736842106
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
1.1666666666666667
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.8080000000000003
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
69.28203230275508
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.4
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.0306
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.2777777777777778
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.3196135
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.2857738033247041
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.5
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.2500001165625815
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.25
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.675
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.25819888974716115
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.1333333333333337
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.33788558221188825
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.41633319989322654
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.36742346141747667
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
1.2000000000000002
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.5399999999999999
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.28867513459481287
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.23664319132398465
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.15749999999999997
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
7.5
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
3.2000000000000006
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
6.666666666666667
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.7071067811865476
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
4.166666666666667
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
225.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
4.7746482927568605
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
58.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
71.6197243913529
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
124.14085561167836
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
286.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
1.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
288.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
17.32050807568877
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
22.5
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
3.1830790389045727
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
75.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
31.25
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
30.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
3.0
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
156.25
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.4000000000000004
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
78.33333333333333
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
2.083333333333333
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
-0.6666666666666667
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
0.4000000000000001
[ { "content": "You are a helpful physics assistant that solves classical mechanics problems step by step. You can write and execute Python code during your reasoning. When you write a ```python code block inside your thinking, it will be executed and the output will be provided back to you in <o></o> tags. Use t...
54.449999999999996
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