Misa-Math 1. - Codeforces

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Five men and nine women stand equally spaced around a circle in random order. The probability that every man stands diametrically opposite a woman is $$$\frac{m}{n},$$$ where $$$m$$$ and $$$n$$$ are relatively prime positive integers. Find $$$m+n.$$$

Rev.	By	When	Δ	Comment
en61	Misa-Misa	2023-11-21 07:54:21	74
en60	Misa-Misa	2023-11-21 07:01:54	90
en59	Misa-Misa	2023-11-21 06:47:13	2	Tiny change: 'n+1)^{2}}{2}$\n</spoi' -> 'n+1)^{2}}{4}$\n</spoi'
en58	Misa-Misa	2023-11-21 05:33:48	0	(published)
en57	Misa-Misa	2023-11-21 05:11:05	3
en56	Misa-Misa	2023-11-21 05:10:16	12	Tiny change: 'nswer">\n$(n+1)^{2} / 2$\n</spoil' -> 'nswer">\n$\frac{(n+1)^{2}}{2}$\n</spoil'
en55	Misa-Misa	2023-11-21 05:09:28	5	Tiny change: '">\n$(n+1)_2 / 2$\n</s' -> '">\n$(n+1)^{2} / 2$\n</s'
en54	Misa-Misa	2023-11-21 05:08:45	919
en53	Misa-Misa	2023-11-11 05:25:24	1	Tiny change: 'o $x$.)<br\n\n<spoil' -> 'o $x$.)<br>\n\n<spoil'
en52	Misa-Misa	2023-11-10 14:35:07	259
en51	Misa-Misa	2023-11-10 14:34:45	261
en50	Misa-Misa	2023-11-10 06:53:02	1217
en49	Misa-Misa	2023-11-10 06:51:09	9
en48	Misa-Misa	2023-11-10 06:50:02	1669
en47	Misa-Misa	2023-11-02 11:06:57	1
en46	Misa-Misa	2023-11-02 11:06:28	17	Tiny change: 'oiler>\n\n\n<spoiler' -> 'oiler>\n\n<br>\n<br>\n<br>\n<spoiler'
en45	Misa-Misa	2023-11-02 08:53:05	12
en44	Misa-Misa	2023-11-02 08:52:20	130
en43	Misa-Misa	2023-11-02 08:50:13	3
en42	Misa-Misa	2023-11-02 08:49:02	156
en41	Misa-Misa	2023-11-02 08:46:01	159
en40	Misa-Misa	2023-11-02 08:42:29	6
en39	Misa-Misa	2023-11-02 08:41:53	69
en38	Misa-Misa	2023-11-02 08:40:14	417
en37	Misa-Misa	2023-11-02 08:35:41	107
en36	Misa-Misa	2023-11-02 08:28:37	41
en35	Misa-Misa	2023-11-02 08:27:43	2	Tiny change: 'n}{x} + \farc{n}{x^{2}' -> 'n}{x} + \frac{n}{x^{2}'
en34	Misa-Misa	2023-11-02 08:27:17	3
en33	Misa-Misa	2023-11-02 08:26:39	2	Tiny change: ' $\lfloor{frac{n}{x}' -> ' $\lfloor frac{n}{x}'
en32	Misa-Misa	2023-11-02 08:26:09	47
en31	Misa-Misa	2023-11-02 08:22:53	14	Tiny change: 'n!$ = $\lceil{x}\rceil$\n\n</spo' -> 'n!$ = $\lfloor{x}\rfloor$\n\n</spo'
en30	Misa-Misa	2023-11-02 08:21:54	58
en29	Misa-Misa	2023-11-02 08:17:00	0
en28	Misa-Misa	2023-11-02 08:17:00	388
en27	Misa-Misa	2023-11-02 07:29:46	22
en26	Misa-Misa	2023-11-02 07:28:47	55
en25	Misa-Misa	2023-11-02 07:27:34	710
en24	Misa-Misa	2023-11-02 07:20:08	398
en23	Misa-Misa	2023-11-02 07:01:20	19
en22	Misa-Misa	2023-11-02 07:00:49	142
en21	Misa-Misa	2023-11-02 06:59:50	22
en20	Misa-Misa	2023-11-02 06:59:04	16	Tiny change: 'om{14}{5}}= \frac{48}{143}$\n</spoi' -> 'om{14}{5}}$\n</spoi'
en19	Misa-Misa	2023-11-02 06:58:35	22
en18	Misa-Misa	2023-11-02 06:57:29	12
en17	Misa-Misa	2023-11-02 06:56:48	68
en16	Misa-Misa	2023-11-02 06:54:37	67
en15	Misa-Misa	2023-11-02 06:53:37	70
en14	Misa-Misa	2023-11-02 06:52:56	4	Tiny change: ' = $\frac{!14}{!5}$\nThere ' -> ' = $\frac{14!}{5!}$\nThere '
en13	Misa-Misa	2023-11-02 06:52:39	33
en12	Misa-Misa	2023-11-02 06:51:33	98
en11	Misa-Misa	2023-11-02 06:50:45	147
en10	Misa-Misa	2023-11-02 06:28:38	4	Tiny change: 'ng skills.\nTarget a' -> 'ng skills.<br>\nTarget a'
en9	Misa-Misa	2023-11-02 06:28:24	39	Tiny change: ' skills.\n</spoil' -> ' skills.\nTarget audience : Experts and below.\n</spoil'
en8	Misa-Misa	2023-11-02 06:27:34	11	Tiny change: 'm+n.$ \n\n\n<spoiler' -> 'm+n.$ \n\n<br>\n<br>\n<spoiler'
en7	Misa-Misa	2023-11-02 06:27:11	135
en6	Misa-Misa	2023-11-02 06:26:17	9	Tiny change: 'ath">\n```c++\nI plan t' -> 'ath">\n```python\nI plan t'
en5	Misa-Misa	2023-11-02 06:25:51	19
en4	Misa-Misa	2023-11-02 06:25:14	59
en3	Misa-Misa	2023-11-02 06:23:58	177
en2	Misa-Misa	2023-11-02 06:22:43	167
en1	Misa-Misa	2023-11-02 06:18:27	249	Initial revision (saved to drafts)

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