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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
270 | help-10 | ceae3f82efb743a59d56be209e856fa6 | 807,091,391,820,857,300 | physilei | 01/24/2022 19:55:05 | Sry guys | 1 | 0 | null | null | null | null | null | |||||
270 | help-10 | ceae3f82efb743a59d56be209e856fa6 | 807,091,391,820,857,300 | physilei | 01/24/2022 19:55:08 | .close | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:33:33 | Hi | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:35:22 | The line L goes through O(0,0,0) and is perpendicular to the line k: λ(1,0,1). The line L makes an φ angle with the y-axis so that cos φ = 1/3 | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:35:30 | Give a vector equation of line L | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:35:48 | So if it’s perpendicular to K i have this: a + c = 0 | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:36:00 | I have tried with inproduct but there are too many variables for me to have an answer | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:36:05 | So i don’t know what to do now | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:51:16 | @Helpers | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 770,647,040,966,524,900 | coldfloor | 01/24/2022 21:52:03 | Idk it either lol | 0 | 1 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 21:56:02 | Lol my classmates also don’t and teacher is not responding to messages 🥲 | 1 | 0 | null | null | null | null | null | |||||
271 | help-10 | f33d950fb8ef485b8f291bb41c6a1a8f | 801,077,586,926,501,900 | blue™ | 01/24/2022 22:35:50 | .close | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:45:08 | hello | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:45:34 | I am sort of confused as to what the word calculate in this sense means | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:48:01 | get rid of the infinite sum | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:48:09 | so convert it into a function? | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:48:26 | it's a function even if it has an infinite sum | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:49:06 | but the task is most likely about expressing it using elementary functions | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:49:07 | so how does one get rid of the infinite sum | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:49:19 | yea i guess that sounds about right | 1 | 0 | 587,696,976,951,377,900 | eswag | 3269 | eswag | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:49:56 | okay that makes a little more sense - i thought i had to find a numerical value or something like that and i was confused | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:51:09 | do you know what is the value of a series? | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:51:31 | honestly i forgot all about series i studied this stuff 6 months ago | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:53:52 | by definition
\[
\sum_{n=1}^\infty f_n(x) = \lim_{k \to \infty}\sum_{n=k}^\infty f_n(x)
\] | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 510,789,298,321,096,700 | TeXit | 01/24/2022 22:53:54 | **rept1d** | 586955478529998860.png | 0 | 1 | null | null | null | null | null | ||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:54:09 | and there are also some helpful formulas | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:54:51 | but is this problem specifically looking for the value of that series? | 1 | 0 | 587,696,976,951,377,900 | eswag | 3269 | eswag | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:57:01 | yes, they just probably want you to use the given fact | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 22:58:04 | the first one is obvious for example | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 22:58:31 | yeah i gotta see how to apply this then | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:01:04 | \[
\sum_{n=1}^\infty p (1-p)^{n-1} = p \sum_{n=0}^\infty (1-p)^n = \frac{p}{1-(1-p)} = 1
\] | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 510,789,298,321,096,700 | TeXit | 01/24/2022 23:01:07 | **rept1d** | 586955478529998860.png | 0 | 1 | null | null | null | null | null | ||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:02:18 | ohhh | 1 | 0 | 587,696,976,951,377,900 | eswag | 3269 | eswag | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:02:57 | yea i gotta refresh on these | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:03:01 | thank you for your help @rept1d | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:03:09 | np | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:07:11 | @rept1d sorry one more quesiton | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:07:19 | would part b just be constant of integration + 1 then? | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:07:28 | not sure if thats how you should represent your answer | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:09:25 | im probably trolling nvm | 1 | 0 | 586,955,478,529,998,800 | rept1d | 9600 | rept1d | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:10:23 | it'd be (1-x)^n, not n-1 | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:10:27 | so the sum is starting from n=1 | 0 | 1 | 586,955,478,529,998,800 | rept1d | 9600 | rept1d | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:10:40 | you've probably missed that | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:10:50 | yeah i noticed that | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:15:49 | did you get an answer? | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:16:13 | Nah im stuck i’m trying to find resources to study from but i’m not in luck | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:16:38 | Assuming this is a geometric series | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:16:46 | where exactly are you stuck? | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:16:57 | I did the integral which was easy | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:17:04 | So just the constant + the integrated series | 1 | 0 | 587,696,976,951,377,900 | eswag | 3269 | eswag | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:17:13 | And the bound is still at n = 1 | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:17:33 | But i’m stuck at what to do next | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:19:31 | Do i just take the limit? | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:20:20 | that's another possibility (and is much easier in my opinion), but let's still discuss the method the book wants | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:21:22 | I assume you know how the formula of the derivative of power series | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:21:26 | unknown.png | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:21:31 | Yeah | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:21:43 | in our case k=1, so it's very simple | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:22:57 | do you agree that
\[
\sum_{n=1}^\infty np(1-p)^{n-1} = -p \qty(\sum_{n=1}^\infty (1-p)^n)'
\] | 0 | 1 | 587,696,976,951,377,900 | eswag | 3269 | eswag | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:23:11 | a mistake | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:23:12 | wait | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:23:15 | Positive p | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:23:31 | no | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:23:38 | Oh | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 510,789,298,321,096,700 | TeXit | 01/24/2022 23:23:42 | **rept1d** | 586955478529998860.png | 0 | 1 | null | null | null | null | null | ||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:23:47 | now it should be right | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:23:52 | Oh its because 1-p | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:23:56 | yes | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:24:14 | Yes | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:24:16 | I see that | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:24:17 | can you go from here? | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:24:47 | Oh I accidentally took the integral lol | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:24:52 | I guess there was no point in doing that | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:25:38 | kinda true | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:25:44 | I got it yeah just use the derivative formula | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:25:53 | the answer should be 1/p | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:25:56 | And then the bound will be n = 0 | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:27:01 | i might have misunderstood you, but the derivative formula has been used already | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:27:24 | Yeah im lost then | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:27:28 | i mean
\[
\sum_{n=1}^\infty np(1-p)^{n-1} = -p \sum_{n=1}^\infty \qty((1-p)^n)' = -p \qty(\sum_{n=1}^\infty (1-p)^n)'
\] | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:27:37 | that's how we got there | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:27:41 | I’m unable to understand how to evaluate with the n=1 | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:28:03 | We cant make the exponent n-1 right? | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:28:06 | evaluate with n = 0 and then subtract f_0(p) | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 510,789,298,321,096,700 | TeXit | 01/24/2022 23:29:39 | **rept1d** | 586955478529998860.png | 0 | 1 | null | null | null | null | null | ||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:29:55 | Okay | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:30:21 | But if you evaluate with n = 0 | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:30:26 | You must change the exponent to n-1 | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:30:46 | do you? | 0 | 1 | 587,696,976,951,377,900 | eswag | 3269 | eswag | false | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:30:50 | look at the formula at the top | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:30:55 | it's just x^n | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:31:11 | It is but how do we start at n = 0 if its n = 1 | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:31:47 | We can just start at n = 0 and remove the first term? | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:31:55 | Yes, that's what I said | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:32:00 | Ah right | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:43:31 | Well i think i got the steps | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:43:50 | I just used the general formula of the sum of the series though | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:43:55 | I didnt understand the subtraction part | 1 | 0 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 586,955,478,529,998,800 | rept1d | 01/24/2022 23:44:20 | :( | 0 | 1 | null | null | null | null | null | |||||
272 | help-10 | a0ba10ff794242659235550ebe7d8311 | 587,696,976,951,377,900 | eswag | 01/24/2022 23:44:39 | EAF99FAE-B4AC-4B48-B260-BEC2360FD4BD.jpg | 1 | 0 | null | null | null | null | null |
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