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1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 261,933,205,387,477,000 | riemann | 03/07/2022 01:22:55 | if you know the radius is `z` and the height is `a` the volume is `pizza` | 0 | 1 | 700,565,896,103,592,000 | さより | 6741 | さより | false | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:24:03 | @riemann thanks for this utterly unhelpful comment | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:26:52 | Area of the whole pizza - Area of the circle without the crust = Area of the crust | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:27:06 | okay, but i want you to use the notations i gave you. | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:27:10 | can you do that? | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:28:19 | Sorry, English is not my first language, If you mean by outer radius, Do you mean the radius of the crust only circle? | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:30:22 | (R1+R2)²pi - (R1)²pi | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:32:40 | no, when i say outer radius i mean the radius of the entire pizza | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:32:48 | with the crust | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:32:51 | center to edge | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:33:02 | so it would be $\pi r_2^2 - \pi r_1^2$ | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 510,789,298,321,096,700 | TeXit | 03/07/2022 01:33:04 | **Ann** | 183668144404037632.png | 0 | 1 | null | null | null | null | null | ||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:33:25 | Oh ok, I see | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:34:14 | now | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:35:01 | unknown.png | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:35:02 | consider this | 0 | 1 | 261,933,205,387,477,000 | riemann | 2529 | riemann | false | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:35:56 | Ok | 1 | 0 | 183,668,144,404,037,630 | Ann | 0413 | Ann | false | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:38:56 | look at the triangle that i drew | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:42:19 | Ok ok | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:47:22 | I feel like the r of the whole circle is 3√2 | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:49:04 | where are you getting that from? | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:51:32 | 6 is the hypotenuse of a triangle | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:51:38 | what triangle? | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:51:58 | the hypotenuse of the triangle that i drew is not 6. | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:52:44 | IMG_20220307_145224.jpg | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:54:49 | 2 points such that the segment is tangent to the filling | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:55:09 | and why are you just claiming out of hand that this is a right triangle? | 0 | 1 | 183,668,144,404,037,630 | Ann | 0413 | Ann | false | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:56:01 | just because it appears right does not actually make it right. | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 01:56:58 | Yeh I just tested it, It's an irrational number | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:57:06 | ...... | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:57:09 | what | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:57:16 | what on earth did you "test" | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:57:26 | sounds like you ignored everything i just said | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 01:59:29 | are you going to go off to do your own thing or should i continue trying to explain how to do this problem | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:00:33 | Continue please. | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:02:45 | look at the triangle **that i drew**. | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:02:59 | you see how i marked a right angle in it? | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:03:38 | Yes I can see it | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:04:05 | do you understand why the angle i marked as right is indeed right? | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:05:36 | Yes I can understand | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:06:36 | okay | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:06:48 | can you name the side lengths of the triangle that i drew? | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:08:22 | R2,R1 | 1 | 0 | 183,668,144,404,037,630 | Ann | 0413 | Ann | false | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:13:00 | And 6-x? | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:13:14 | what's x? | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:14:47 | 3? | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:17:37 | I think it's 3 | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:17:46 | R2,R1,3 | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:17:51 | ... | 0 | 1 | 183,668,144,404,037,630 | Ann | 0413 | Ann | false | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:18:06 | i asked for the meaning, not the value. | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:18:22 | but yes, the sides are r2, r1 (lowercase!!!!) and 3 | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:19:41 | Ok Ok | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:23:14 | What is the next thing to do now? | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 183,668,144,404,037,630 | Ann | 03/07/2022 02:23:43 | area = pi(r2^2 - r1^2) = pi * 3^2 by pythagoras. | 0 | 1 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:26:59 | Ok what? | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:30:13 | Nvm | 1 | 0 | null | null | null | null | null | |||||
1,080 | help-10 | 39b4b11c22744aadba79d3731a752087 | 700,565,896,103,592,000 | さより | 03/07/2022 02:30:16 | .close | 1 | 0 | null | null | null | null | null | |||||
1,081 | help-10 | b6980d8359e44a869a2a2d8f586b34e9 | 854,091,851,753,062,400 | markie | 03/07/2022 02:33:01 | I need to get this out of fraction form | unknown.png | 1 | 0 | null | null | null | null | null | ||||
1,081 | help-10 | b6980d8359e44a869a2a2d8f586b34e9 | 551,269,104,800,104,450 | EndTimes | 03/07/2022 02:39:52 | Multiply top and bottom by conjugate | 0 | 1 | null | null | null | null | null | |||||
1,082 | help-10 | 24830a4debaf447eab4addae0955967f | 651,004,092,176,662,500 | Glar3 | 03/07/2022 03:07:06 | (3^2018-3^2016)/(3*3^2015) | 1 | 0 | null | null | null | null | null | |||||
1,082 | help-10 | 24830a4debaf447eab4addae0955967f | 651,004,092,176,662,500 | Glar3 | 03/07/2022 03:10:56 | 20220307_101039.jpg | 1 | 0 | null | null | null | null | null | |||||
1,082 | help-10 | 24830a4debaf447eab4addae0955967f | 651,004,092,176,662,500 | Glar3 | 03/07/2022 03:21:22 | @Helpers | 1 | 0 | null | null | null | null | null | |||||
1,082 | help-10 | 24830a4debaf447eab4addae0955967f | 551,269,104,800,104,450 | EndTimes | 03/07/2022 03:44:45 | @Glar3 still need help on this? | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:00:15 | can someone teach me how to solve the sin question on a TI inpsire CAS? | Screen_Shot_2022-03-07_at_8.59.39_pm.png | 1 | 0 | null | null | null | null | null | ||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:02:23 | Screen_Shot_2022-03-07_at_9.02.18_pm.png | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:02:29 | would that be how u do it? | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:09:44 | this guy got this answer but idk how ot get that answer on calculator | Screen_Shot_2022-03-07_at_9.09.26_pm.png | 1 | 0 | null | null | null | null | null | ||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:09:48 | In one ss | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:09:56 | They wrote that sin(35) = x/12 | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 915,423,475,294,961,800 | realhuman | 03/07/2022 05:09:59 | Hello | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:10:00 | And in another | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:10:03 | x^2/12 | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 915,423,475,294,961,800 | realhuman | 03/07/2022 05:10:07 | What's your question? | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 915,423,475,294,961,800 | realhuman | 03/07/2022 05:10:48 | Quick!! | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 915,423,475,294,961,800 | realhuman | 03/07/2022 05:10:57 | I gtg | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:11:00 | Screen_Shot_2022-03-07_at_9.10.55_pm.png | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:11:04 | how to put this on a cas | 1 | 0 | 651,004,092,176,662,500 | Glar3 | 1684 | Glar3 | false | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:11:11 | to figure out how to get 0.57 | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:11:18 | =. x/12 | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 380,685,308,473,245,700 | Squidyerser | 03/07/2022 05:11:27 | Just type 12sin35 to find x? | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:11:32 | Are you asking why they | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:11:43 | Said that $sin(35) = x/12$ | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 510,789,298,321,096,700 | TeXit | 03/07/2022 05:11:45 | **CatHashira** | 909734400990785577.png | 0 | 1 | null | null | null | null | null | ||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:11:52 | no im asking how to put it on a cas the question | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 380,685,308,473,245,700 | Squidyerser | 03/07/2022 05:12:06 | There's a sin button | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:12:19 | U mean a calculator | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:12:30 | Just input sin(35) * 12 | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:13:10 | let me try rn one sec | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 462,316,484,996,235,260 | Oshimimers | 03/07/2022 05:13:25 | this works, assuming your calculator is in degree mode | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 462,316,484,996,235,260 | Oshimimers | 03/07/2022 05:13:39 | but yes it’s much easier to just evaluate this | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:13:45 | ? | Screen_Shot_2022-03-07_at_9.13.38_pm.png | 1 | 0 | null | null | null | null | null | ||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:13:47 | it got that | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 909,734,400,990,785,500 | | 03/07/2022 05:14:05 | #computing-software ig | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 462,316,484,996,235,260 | Oshimimers | 03/07/2022 05:14:17 | ctrl enter | 0 | 1 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 462,316,484,996,235,260 | Oshimimers | 03/07/2022 05:14:24 | to get the approximate value | 0 | 1 | 698,392,329,983,230,000 | mcrive | 1715 | mcrive | false | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:17:49 | nvm i guess | 1 | 0 | null | null | null | null | null | |||||
1,083 | help-10 | 504d84f313fe4cdda6de8cb3b4931f1a | 698,392,329,983,230,000 | mcrive | 03/07/2022 05:17:51 | .close | 1 | 0 | null | null | null | null | null | |||||
1,084 | help-10 | 7c25af5dcbd54daabeef73823d209979 | 393,152,669,335,683,100 | Arkid | 03/07/2022 08:46:27 | (b)(0,1,a0,a1,a2,...)
(c)(0·a0,1·a1,2·a2,...)
(d)(a0,0,a1,0,a2,0,...) | 1 | 0 | null | null | null | null | null | |||||
1,084 | help-10 | 7c25af5dcbd54daabeef73823d209979 | 393,152,669,335,683,100 | Arkid | 03/07/2022 08:47:14 | unknown.png | 1 | 0 | null | null | null | null | null | |||||
1,084 | help-10 | 7c25af5dcbd54daabeef73823d209979 | 393,152,669,335,683,100 | Arkid | 03/07/2022 08:47:19 | I did a | 1 | 0 | null | null | null | null | null |
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