Sample Input Output for the Sample Input Sample Input Output for the Sample Input Sample Input 4-1 Output fo

Size: px
Start display at page:

Download "Sample Input Output for the Sample Input Sample Input Output for the Sample Input Sample Input 4-1 Output fo"

Transcription

1 Problem A Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep 2014 A A a b c A 60 A 60t + c ( t ) A -1 1 a b c Input 3 a, b, c a b c a, b, c 0 < a, b, c < 60 Constraints Output A A Sample Input 1 5 Output for the Sample Input 1 Problem A: Page 1 of 32

2 Sample Input Output for the Sample Input Sample Input Output for the Sample Input Sample Input 4-1 Output for the Sample Input 4 Problem A: Page 2 of 32

3 Problem B Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep 2014 A B N M B A B A B A B B B 4 B B N M S 1 S 2. S N Input S i (1 i N) M ˆ v < > B. B # G A B A Problem B: Page 3 of 32

4 Constraints 1 N 50 1 M 50 ˆ v < > G B B Output A A A G##.#..<. Sample Input 1 4 Output for the Sample Input G##.#..>. Sample Input 2 6 Output for the Sample Input G..>. Sample Input 3 Problem B: Page 4 of 32

5 Output for the Sample Input 3-1 Sample Input #.G...# ^#.. Output for the Sample Input 4 8 Problem B: Page 5 of 32

6 Problem C Magic Bullet Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep XX Magic Bullet 0 Input 1 N Q x 1 y 1 z 1 r 1 l 1. x N y N z N r N l N sx 1 sy 1 sz 1 dx 1 dy 1 dz 1. sx Q sy Q sz Q dx Q dy Q dz Q N Q x i, y i, z i i x y z Problem C: Magic Bullet Page 6 of 32

7 r i i l i i sx j, sy j, sz j j x y z dx j, dy j, dz j j x y z Constraints 0 N 50 1 Q x i, y i, z i r i 1,000 1 l i sx j, sy j, sz j dx j, dy j, dz j 500 Output Sample Input Output for the Sample Input 1 Problem C: Magic Bullet Page 7 of 32

8 Sample Input Output for the Sample Input 2 9 Sample Input Output for the Sample Input 3 Problem C: Magic Bullet Page 8 of 32

9 Problem D Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep N N 2 N i (1 i N) C i P Q Input N + 1 N P Q C 1 C 2. C N 1 3 N, P, Q 2 N i + 1 i 1 N 500,000 0 P 500,000 Q 500,000 C i 500,000 Constraints Output Problem D: Page 9 of 32

10 Sample Input Output for the Sample Input Sample Input 2 12 Output for the Sample Input = 12 Sample Input 3 2 Output for the Sample Input Sample Input 4 Problem D: Page 10 of 32

11 Output for the Sample Input 4-27 Problem D: Page 11 of 32

12 Problem E AI Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep 2014 EBNF := { }; := if while ; if := "[",,, "]"; while := "{",,, "}"; := "^" "v" "<" ">"; := ["~"], "N" "E" "S" "W" "C" "T"; 1 1 if while ˆ, v, <, > ˆ : v : < : 90 > : 90 if [ ] if 3. if while { } while N, E, S, W, C, T Problem E: AI Page 12 of 32

13 N : E : S : W : C : T : H W a 1,1 a 1,2... a 1,W a 2,1 a 2,2... a 2,W. a H,1 a 2,2... a H,W s Input H W a i, j s : g : # :. : s Problem E: AI Page 13 of 32

14 Constraints 1 H, W 50 1 s 1,000 a i, j., #, s, g s, g 1 i = 1 i = H j = 1 j = W a i, j = # s Output ### #g# #.# #s# ### ^<^<vv Sample Input 1 5 Output for the Sample Input ####### #.#g..# #.###.# #s...# ####### {T{~C^}<} Sample Input 2 17 Output for the Sample Input 2 Problem E: AI Page 14 of 32

15 Sample Input ####### #.#g..# #.###.# #s...# ####### {T{~C^}>} Output for the Sample Input 3-1 Problem E: AI Page 15 of 32

16 Problem F Longest Match Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep 2014 S m i x i, y i S x i y i S S S T S i 1 j T T j = S i+ j T j T j Input S m x 1 y 1 x 2 y 2. x m y m 1 S 2 m 3 m i i x i, y i Constraints 1 S m x i, y i m i=1 ( x i + y i ) S x i, y i Output Problem F: Longest Match Page 16 of 32

17 len 1 len 2. len m 1 m i i len i 0 abracadabra 5 ab a a a b c ac ca z z Sample Input Output for the Sample Input 1 S abracadabra ab a abra abraca, abracada, abracadabra 4 abracadabra 11 a a abracadabra 11 b c brac 4 ac ca aca 3 z z 0 howistheprogress 4 ist prog s ss how is the progress Sample Input 2 Problem F: Longest Match Page 17 of 32

18 Output for the Sample Input Sample Input 3 icpcsummertraining 9 mm m icpc summer train ing summer mm i c i i g g train i summer er Output for the Sample Input Problem F: Longest Match Page 18 of 32

19 Problem G Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep 2014 M N M N K a 1 b 1 c 1 d 1 s 1,1 v 1,1,1 v 1,1,2 v 1,1,s1,1 s 1,2 v 1,2,1 v 1,2,2 v 1,2,s1,2. s 1,d1 v 1,d1,1 v 1,d1,2 v 1,d1,s 1,d1 a 2 b 2 c 2 d 2. a M b M c M d M s M,1 v M,1,1 v M,1,sM,1. s M,dM v M,dM,1 v M,dM,2 v M,dM,s M,dM Input 1 3 M, N, K M N K 1 M a i, b i, c i, d i 4 a i b i c i = 0 i 1 c i = 1 Problem G: Page 19 of 32

20 d i 1 1 s i, j s i, j v i, j,1, v i, j,2,, v i, j,si, j v i, j,k i i d i 1 i d i = 0 i 1 M 18 0 N K M 1 b i < a i d i 3 1 v i, j,k M v i, j,k v i, j,k if k k Constraints Output K yes no Sample Input 1 yes Output for the Sample Input Sample Input 2 Problem G: Page 20 of 32

21 Output for the Sample Input 2 no Sample Input Output for the Sample Input 3 yes Sample Input Output for the Sample Input 4 yes Sample Input Problem G: Page 21 of 32

22 Output for the Sample Input 5 no Problem G: Page 22 of 32

23 Problem H Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep n 1 1 0,..., 2 n 1 1 n 1. 1 l l + 1 (l 0 (mod 2)) 2. i + 1 (1 i < n) l l + 2 i i 1 l + 2 i l + 2 i+1 i (l 0 (mod 2 i+1 )) n 2 n ( ) 2 n i ( 0 i 2 n 1 ) i Input n m a 0 a 1 a m b 0 b 1 b m 1 1 n, m 2 2 n m 2 a i (0 i m) m + 1 a i Problem H: Page 23 of 32

24 3 b i (0 i < m) m 2 b i a i a i+1 Constraints 1 n 30 1 m 10,000 0 = a 0 < a 1 < < a m 1 < a m = 2 n 0 b i n Output Sample Input 1 1 Output for the Sample Input 1 2 { 0, 1 } {1, 2} {2, 1} 2 {2, 2} Sample Input 2 2 Output for the Sample Input Sample Input 3 Problem H: Page 24 of 32

25 Output for the Sample Input 3 0 Sample Input Output for the Sample Input 4 10 Problem H: Page 25 of 32

26 Problem I Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep 2014 ( ) s T(v) = v v, u (v, u) (u, v) s v T(s) T(v) Input M + 1 N M a 1 b 1. a M b M 1 N, M N M 2 M + 1 a i, b i a i b i Constraints 1 N 10,000 0 M 100,000 0 a i N 1 0 b i N 1 a i b i i j (a i, b i ) (a j, b j ) 0 50 Problem I: Page 26 of 32

27 Output 2 cnum cost c 1 c 2... c cnum 1 cnum, cost 2 cnum c i cnum : cost : v T(v) c i : i Sample Input Output for the Sample Input 1 0 (2,1) (0,1), (1,2) 1 T(0) = 1 T(1) = 2 T(2) = Sample Input Output for the Sample Input 2 Problem I: Page 27 of 32

28 Sample Input Output for the Sample Input Problem I: Page 28 of 32

29 Problem J Vongress Input: Standard Input Japan Alumni Group Summer Camp 2014 Day 4, AtCoder 15 Sep 2014 Vongress Vongress n m 1 x y n m x 1 y 1 x 2 y 2. x n y n r 1 r 2. r m Input n m (x i, y i ) r 1,..., r m 3 n m x i, y i r j 100 Constraints (x i, y i ) Problem J: Vongress Page 29 of 32

30 m Output x 1 y 1 x 2 y 2. x m y m (x k, y k ) k S k r k r 1 + +r m S 10 3 Sample Input Output for the Sample Input 1 Problem J: Vongress Page 30 of 32

31 Sample Input Output for the Sample Input Problem J: Vongress Page 31 of 32

32 Sample Input Output for the Sample Input 3 Problem J: Vongress Page 32 of 32

2 1,384,000 2,000,000 1,296,211 1,793,925 38,000 54,500 27,804 43,187 41,000 60,000 31,776 49,017 8,781 18,663 25,000 35,300 3 4 5 6 1,296,211 1,793,925 27,804 43,187 1,275,648 1,753,306 29,387 43,025

More information

untitled

untitled 13 50 15 6.0 0.25 220 23 92 960 16 16 3.9 3.9 12.8 83.3 7 10 1150 90 1035 1981 1850 4700 4700 15 15 1150 1150 10 12 31 1.5 3.7%(224 ) 1.0 1.5 25.4%(1522 ) 0.7 30.6 1835 ) 0.7 1.0 40.3 (2421 ) 7.3

More information

2012年総選挙・テレビはどう伝えたか

2012年総選挙・テレビはどう伝えたか 2012 2013 1 2012 46 11 16 11 14 12 15 4 1 7 1 300 59.32 204 3 9 9 60 2 2010 5 67 11 19 30 3 19 23 11 20 21 23 24 23 12 12 4 12 4 14 14 13 3 10 2 40 2 10 1 40 18 23 11 27 22 28 16 40 5 11 21 12 13 12 3

More information

2

2 2 3 Page 4 5 6 A-1B-1 C0 D0 E0 F0 G0 A0 B0 C1 D1 E1 F1 G1 A1 B1 C2 D2 E2 F2 G2 A2 B2 C3 D3 E3 7 F3 G3 A3 B3 C4 D4 E4 F4 G4 A4 B4 C5 D5 E5 F5 G5 A5 B5 C6 D6 E6 F6 G6 A6 B6 C7 8 Page 9 1 2 3 1 2 10 1 11

More information

応力とひずみ.ppt

応力とひずみ.ppt in yukawa@numse.nagoya-u.ac.jp 2 3 4 5 x 2 6 Continuum) 7 8 9 F F 10 F L L F L 1 L F L F L F 11 F L F F L F L L L 1 L 2 12 F L F! A A! S! = F S 13 F L L F F n = F " cos# F t = F " sin# S $ = S cos# S S

More information

2009 SEP. No.664 9 18 100460345 209710798 %0.11 3350955 9750799 12.1 0.93 100350 19 100600453 209700800 %0.03 3200065 9740873 11.0 0.98 90490 20 100750364 209680396 %0.81 321 844 978 591 11.6

More information

2 3

2 3 Sample 2 3 4 5 6 7 8 9 3 18 24 32 34 40 45 55 63 70 77 82 96 118 121 123 131 143 149 158 167 173 187 192 204 217 224 231 17 285 290 292 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38

More information

?

? 240-8501 79-2 Email: nakamoto@ynu.ac.jp 1 3 1.1...................................... 3 1.2?................................. 6 1.3..................................... 8 1.4.......................................

More information

3.....ren

3.....ren 823 2011 329 20 11 20 48.3 90.5 20 40 21 12 16 22 3 23 50 50 50 1 54 2 55 3 56 57 49 330 823 2011 6 0.3 0.7 1.0 3 1 0.3 0.7 1.0 5 m 3 m 3 m 5 m 5 3 m 1 2 5001,000 3 50 52 mm 4 0.1 1 50 823 2011 331 5 10

More information

01 DAITO GROUP CSR Report 2014

01 DAITO GROUP CSR Report 2014 DAITO GROUP CSR Report 2014 01 DAITO GROUP CSR Report 2014 DAITO GROUP CSR Report 2014 02 DAITO GROUP CSR Report 2014 03 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 DAITO GROUP CSR Report 2014

More information

2009 1. 2. 3. 4. 5. 2 2009 CONTENTS 4 6 8 TOPIC 01 10 TOPIC 02 11 TOPIC 03 12 TOPIC 04 14 TOPIC 05 15 TOPIC 06 15 TOPIC 07 16 18 18 19 20 21 22 22 22 23 24 25 26 27 27 27 28 29 30 TOPIC 08 16 TOPIC 09

More information

ビットリアカップ2007けいはんなサイクルレースリザルト

ビットリアカップ2007けいはんなサイクルレースリザルト Page 4/30 Page 5/30 Page 6/30 Page 7/30 Page 8/30 Page 9/30 Page 10/30 Page 11/30 Page 12/30 Page 13/30 Page 14/30 Page 15/30 Page 16/30 Page 17/30 Page 18/30 Page 19/30 Page 20/30 Page 21/30 Page 22/30

More information

Page 1

Page 1 Page 1 Page 2 Page 3 Page 4 620 628 579-41 -6.7-49 -7.9 71 41 47-24 -33.3 6 15.9 11.5 6.5 8.1 36 15 22-14 -38.9 7 43.4 Page 5 277 302 23 24 12/3Q 12/4Q 13/1Q 13/2Q 13/3Q 13/4Q 14/1Q 14/2Q 14/3Q 14/4Q 15/1Q

More information

01

01 01 02 03 04 KOKUYO GROUP CSR REPORT 2009 KOKUYO GROUP CSR REPORT 2009 CONTENTS 9 11 12 13 15 17 18 19 20 5 05 06 07 08 09 a 2 5 1 4 3 2 3 4 5 1 10 11 12 13 14 15 16 17 a 18 19 a 20 21 KOKUYO GROUP CSR

More information

BIT -2-

BIT -2- 2004.3.31 10 11 12-1- BIT -2- -3-256 258 932 524 585 -4- -5- A B A B AB A B A B C AB A B AB AB AB AB -6- -7- A B -8- -9- -10- mm -11- fax -12- -13- -14- -15- s58.10.1 1255 4.2 30.10-16- -17- -18- -19-6.12.10

More information

パワーMOS FET π-MOS

パワーMOS FET π-MOS 7 VDSS VDSS SJ147 TO-0IS 60 1 0. SJ55 L - 30 5 0.1 P 15 SJ183 L - 60 5 0.35 SJ537 L - TO-9MOD 50 5 0.19 P 15 SJ00 180 10 0.83 SJ567 00.5.0 SJ01 00 1 0.63 SJ570 L - TO-0AB 60 30 0.038 P 15 SJ4 TO-0FL/SM

More information

R R 16 ( 3 )

R R 16   ( 3 ) (017 ) 9 4 7 ( ) ( 3 ) ( 010 ) 1 (P3) 1 11 (P4) 1 1 (P4) 1 (P15) 1 (P16) (P0) 3 (P18) 3 4 (P3) 4 3 4 31 1 5 3 5 4 6 5 9 51 9 5 9 6 9 61 9 6 α β 9 63 û 11 64 R 1 65 13 66 14 7 14 71 15 7 R R 16 http://wwwecoosaka-uacjp/~tazak/class/017

More information

1 (Contents) (1) Beginning of the Universe, Dark Energy and Dark Matter Noboru NAKANISHI 2 2. Problem of Heat Exchanger (1) Kenji

1 (Contents) (1) Beginning of the Universe, Dark Energy and Dark Matter Noboru NAKANISHI 2 2. Problem of Heat Exchanger (1) Kenji 8 4 2018 6 2018 6 7 1 (Contents) 1. 2 2. (1) 22 3. 31 1. Beginning of the Universe, Dark Energy and Dark Matter Noboru NAKANISHI 2 2. Problem of Heat Exchanger (1) Kenji SETO 22 3. Editorial Comments Tadashi

More information

2003 10 2003.10.21 70.400 YES NO NO YES YES NO YES NO YES NO YES NO NO 20 20 50m 12m 12m 0.1 ha 4.0m 6.0m 0.3 ha 4.0m 6.0m 6.0m 0.3 0.6ha 4.5m 6.0m 6.0m 0.6 1.0ha 5.5m 6.5m 6.0m 50m 18 OK a a a a b a

More information

.o...EPDF.p.indd

.o...EPDF.p.indd Social and Environmental report 28 1 2 3 5 7 9 11 12 17 18 19 22 24 25 26 27 28 29 3 2 3 4 5 6 7 4 1 2 5 3 6 8 9 1 1 2 3 4 11 12 1 2 3 4 13 14 1 2 3 4 5 6 7 8 15 16 17 1 2 3 18 19 1 2 3 4 2 21 1 2 3 4

More information

Netcommunity SYSTEM X7000 IPコードレス電話機 取扱説明書

Netcommunity SYSTEM X7000 IPコードレス電話機 取扱説明書 4 5 6 7 8 9 . 4 DS 0 4 5 4 4 4 5 5 6 7 8 9 0 4 5 6 7 8 9 4 5 6 4 0 4 4 4 4 5 6 7 8 9 40 4 4 4 4 44 45 4 6 7 5 46 47 4 5 6 48 49 50 5 4 5 4 5 6 5 5 6 4 54 4 5 6 7 55 5 6 4 56 4 5 6 57 4 5 6 7 58 4

More information

.A. D.S

.A. D.S 1999-1- .A. D.S 1996 2001 1999-2- -3- 1 p.16 17 18 19 2-4- 1-5- 1~2 1~2 2 5 1 34 2 10 3 2.6 2.85 3.05 2.9 2.9 3.16 4 7 9 9 17 9 25 10 3 10 8 10 17 10 18 10 22 11 29-6- 1 p.1-7- p.5-8- p.9 10 12 13-9- 2

More information

1 発病のとき

1 発病のとき A A 1944 19 60 A 1 A 20 40 2 A 4 A A 23 6 A A 13 10 100 2 2 360 A 19 2 5 A A A A A TS TS A A A 194823 6 A A 23 A 361 A 3 2 4 2 16 9 A 7 18 A A 16 4 16 3 362 A A 6 A 6 4 A A 363 A 1 A A 1 A A 364 A 1 A

More information

Ÿ ( Ÿ ) Ÿ šœš 100,000 10,000,000 10,000,000 3,250,000 1,000,000 24,350,000 5,000,000 2,500,000 1,200,000 1,000,000 2,960,000 7,000,000 1,500,000 2,200

Ÿ ( Ÿ ) Ÿ šœš 100,000 10,000,000 10,000,000 3,250,000 1,000,000 24,350,000 5,000,000 2,500,000 1,200,000 1,000,000 2,960,000 7,000,000 1,500,000 2,200 šœ Ÿ ( Ÿ ) Ÿ 3,658,819,708 612,940,933 1,441,054,976 1,536,693,282 369,033,491 1,167,659,791 68,105,057 25,460 7,803,540,263 1,713,934,550 541,531,413 702,848,302 11,827 1,552,629,488 23,421,737,374 2,572,144,704

More information

EPSON エプソンプリンタ共通 取扱説明書 ネットワーク編

EPSON エプソンプリンタ共通 取扱説明書 ネットワーク編 K L N K N N N N N N N N N N N N L A B C N N N A AB B C L D N N N N N L N N N A L B N N A B C N L N N N N L N A B C D N N A L N A L B C D N L N A L N B C N N D E F N K G H N A B C A L N N N N D D

More information

ありがとうございました

ありがとうございました - 1 - - 2 - - 3 - - 4 - - 5 - 1 2 AB C A B C - 6 - - 7 - - 8 - 10 1 3 1 10 400 8 9-9 - 2600 1 119 26.44 63 50 15 325.37 131.99 457.36-10 - 5 977 1688 1805 200 7 80-11 - - 12 - - 13 - - 14 - 2-1 - 15 -

More information

EPSON エプソンプリンタ共通 取扱説明書 ネットワーク編

EPSON エプソンプリンタ共通 取扱説明書 ネットワーク編 K L N K N N N N N N N N N N N N L A B C N N N A AB B C L D N N N N N L N N N A L B N N A B C N L N N N N L N A B C D N N A L N A L B C D N L N A L N B C N N D E F N K G H N A B C A L N N N N D D

More information

公務員人件費のシミュレーション分析

公務員人件費のシミュレーション分析 47 50 (a) (b) (c) (7) 11 10 2018 20 2028 16 17 18 19 20 21 22 20 90.1 9.9 20 87.2 12.8 2018 10 17 6.916.0 7.87.4 40.511.6 23 0.0% 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2.0% 4.0% 6.0% 8.0%

More information

Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 A B (A/B) 1 1,185 17,801 6.66% 2 943 26,598 3.55% 3 3,779 112,231 3.37% 4 8,174 246,350 3.32% 5 671 22,775 2.95% 6 2,606 89,705 2.91% 7 738 25,700 2.87% 8 1,134

More information

橡hashik-f.PDF

橡hashik-f.PDF 1 1 1 11 12 13 2 2 21 22 3 3 3 4 4 8 22 10 23 10 11 11 24 12 12 13 25 14 15 16 18 19 20 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 144 142 140 140 29.7 70.0 0.7 22.1 16.4 13.6 9.3 5.0 2.9 0.0

More information

198

198 197 198 199 200 201 202 A B C D E F G H I J K L 203 204 205 A B 206 A B C D E F 207 208 209 210 211 212 213 214 215 A B 216 217 218 219 220 221 222 223 224 225 226 227 228 229 A B C D 230 231 232 233 A

More information

1

1 1 2 3 4 5 (2,433 ) 4,026 2710 243.3 2728 402.6 6 402.6 402.6 243.3 7 8 20.5 11.5 1.51 0.50.5 1.5 9 10 11 12 13 100 99 4 97 14 A AB A 12 14.615/100 1.096/1000 B B 1.096/1000 300 A1.5 B1.25 24 4,182,500

More information

05[ ]戸田(責)村.indd

05[ ]戸田(責)村.indd 147 2 62 4 3.2.1.16 3.2.1.17 148 63 1 3.2.1.F 3.2.1.H 3.1.1.77 1.5.13 1 3.1.1.05 2 3 4 3.2.1.20 3.2.1.22 3.2.1.24 3.2.1.D 3.2.1.E 3.2.1.18 3.2.1.19 2 149 3.2.1.23 3.2.1.G 3.1.1.77 3.2.1.16 570 565 1 2

More information

ネットショップ・オーナー2 ユーザーマニュアル

ネットショップ・オーナー2  ユーザーマニュアル 1 1-1 1-2 1-3 1-4 1 1-5 2 2-1 A C 2-2 A 2 C D E F G H I 2-3 2-4 2 C D E E A 3 3-1 A 3 A A 3 3 3 3-2 3-3 3-4 3 C 4 4-1 A A 4 B B C D C D E F G 4 H I J K L 4-2 4 C D E B D C A C B D 4 E F B E C 4-3 4

More information

/9/ ) 1) 1 2 2) 4) ) ) 2x + y 42x + y + 1) 4) : 6 = x 5) : x 2) x ) x 2 8x + 10 = 0

/9/ ) 1) 1 2 2) 4) ) ) 2x + y 42x + y + 1) 4) : 6 = x 5) : x 2) x ) x 2 8x + 10 = 0 1. 2018/9/ ) 1) 8 9) 2) 6 14) + 14 ) 1 4 8a 8b) 2 a + b) 4) 2 : 7 = x 8) : x ) x ) + 1 2 ) + 2 6) x + 1)x + ) 15 2. 2018/9/ ) 1) 1 2 2) 4) 2 + 6 5) ) 2x + y 42x + y + 1) 4) : 6 = x 5) : x 2) x 2 15 12

More information

20 16 0.113 1,9 16.2 25 16 0.173 2,3 20.4 16 0.274 2,9 26.2 40 16 0.434 3,7.6 50 16 0.673 4,6 40.8 16 1.060 5,8 51.4 75 16 1.480 6,8 61.4 16 2.140 8,2 73.6 16 3.180 10,0.0 125 16 4.120 11,4 102.8 140 16

More information

AC-2

AC-2 AC-1 AC-2 AC-3 AC-4 AC-5 AC-6 AC-7 AC-8 AC-9 * * * AC-10 AC-11 AC-12 AC-13 AC-14 AC-15 AC-16 AC-17 AC-18 AC-19 AC-20 AC-21 AC-22 AC-23 AC-24 AC-25 AC-26 AC-27 AC-28 AC-29 AC-30 AC-31 AC-32 * * * * AC-33

More information

エンジョイ北スポーツ

エンジョイ北スポーツ 28 3 20 85132 http://www.kita-city-taikyo.or.jp 85 63 27 27 85132 http://www.kita-city-taikyo.or.jp 2 2 3 4 4 3 6 78 27, http://www.kita-city-taikyo.or.jp 85132 3 35 11 8 52 11 8 2 3 4 1 2 4 4 5 4 6 8

More information

untitled

untitled ( œ ) œ 138,800 17 171,000 60,000 16,000 252,500 405,400 24,000 22 95,800 24 46,000 16,000 16,000 273,000 19,000 10,300 57,800 1,118,408,500 1,118,299,000 109,500 102,821,836 75,895,167 244,622 3,725,214

More information

行列代数2010A

行列代数2010A a ij i j 1) i +j i, j) ij ij 1 j a i1 a ij a i a 1 a j a ij 1) i +j 1,j 1,j +1 a i1,1 a i1,j 1 a i1,j +1 a i1, a i +1,1 a i +1.j 1 a i +1,j +1 a i +1, a 1 a,j 1 a,j +1 a, ij i j 1,j 1,j +1 ij 1) i +j a

More information

( ) X x, y x y x y X x X x [x] ( ) x X y x y [x] = [y] ( ) x X y y x ( ˆX) X ˆX X x x z x X x ˆX [z x ] X ˆX X ˆX ( ˆX ) (0) X x, y d(x(1), y(1)), d(x

( ) X x, y x y x y X x X x [x] ( ) x X y x y [x] = [y] ( ) x X y y x ( ˆX) X ˆX X x x z x X x ˆX [z x ] X ˆX X ˆX ( ˆX ) (0) X x, y d(x(1), y(1)), d(x Z Z Ẑ 1 1.1 (X, d) X x 1, x 2,, x n, x x n x(n) ( ) X x x ε N N i, j i, j d(x(i), x(j)) < ε ( ) X x x n N N i i d(x(n), x(i)) < 1 n ( ) X x lim n x(n) X x X () X x, y lim n d(x(n), y(n)) = 0 x y x y 1

More information

II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2

II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2 II No.1 [n/] [1]H n x) H n x) = 1) r n! r!n r)! x)n r r= []H n x) n,, H n x) = 1) n H n x) [3] H n x) = 1) n dn x e dx n e x [4] H n+1 x) = xh n x) nh n 1 x) ) d dx x H n x) = H n+1 x) d dx H nx) = nh

More information

変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy,

変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy, 変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy, z + dz) Q! (x + d x + u + du, y + dy + v + dv, z +

More information

1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1

1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1 1 I 1.1 ± e = = - =1.602 10 19 C C MKA [m], [Kg] [s] [A] 1C 1A 1 MKA 1C 1C +q q +q q 1 1.1 r 1,2 q 1, q 2 r 12 2 q 1, q 2 2 F 12 = k q 1q 2 r 12 2 (1.1) k 2 k 2 ( r 1 r 2 ) ( r 2 r 1 ) q 1 q 2 (q 1 q 2

More information

untitled

untitled š š ( œ ) 170,000,000 23. 2.14 9,925,843 525,843 9,400,000 9,896,851 9,000,000 9,000,000 400,000 400,000 7,809,518 2,850,232 2,285,616 2,673,670 2,087,333 36,000 1,273,004 373,800 211,050 162,750 40,529

More information

Part () () Γ Part ,

Part () () Γ Part , Contents a 6 6 6 6 6 6 6 7 7. 8.. 8.. 8.3. 8 Part. 9. 9.. 9.. 3. 3.. 3.. 3 4. 5 4.. 5 4.. 9 4.3. 3 Part. 6 5. () 6 5.. () 7 5.. 9 5.3. Γ 3 6. 3 6.. 3 6.. 3 6.3. 33 Part 3. 34 7. 34 7.. 34 7.. 34 8. 35

More information

48 * *2

48 * *2 374-1- 17 2 1 1 B A C A C 48 *2 49-2- 2 176 176 *2 -3- B A A B B C A B A C 1 B C B C 2 B C 94 2 B C 3 1 6 2 8 1 177 C B C C C A D A A B A 7 B C C A 3 C A 187 187 C B 10 AC 187-4- 10 C C B B B B A B 2 BC

More information

1 2 http://www.japan-shop.jp/ 3 4 http://www.japan-shop.jp/ 5 6 http://www.japan-shop.jp/ 7 2,930mm 2,700 mm 2,950mm 2,930mm 2,950mm 2,700mm 2,930mm 2,950mm 2,700mm 8 http://www.japan-shop.jp/ 9 10 http://www.japan-shop.jp/

More information

第18回海岸シンポジウム報告書

第18回海岸シンポジウム報告書 2011.6.25 2011.6.26 L1 2011.6.27 L2 2011.7.6 2011.12.7 2011.10-12 2011.9-10 2012.3.9 23 2012.4, 2013.8.30 2012.6.13 2013.9 2011.7-2011.12-2012.4 2011.12.27 2013.9 1m30 1 2 3 4 5 6 m 5.0m 2.0m -5.0m 1.0m

More information

1 911 34/ 22 1012 2/ 20 69 3/ 22 69 1/ 22 69 3/ 22 69 1/ 22 68 3/ 22 68 1/ 3 8 D 0.0900.129mm 0.1300.179mm 0.1800.199mm 0.1000.139mm 0.1400.409mm 0.4101.199mm 0.0900.139mm 0.1400.269mm 0.2700.289mm

More information

液晶ディスプレイ取説TD-E432/TD-E502/TD-E552/TD-E652/TD-E432D/TD-E502D

液晶ディスプレイ取説TD-E432/TD-E502/TD-E552/TD-E652/TD-E432D/TD-E502D 1 2 3 4 5 6 7 1 2 3 4 5 6 7 2 2 2 1 1 2 9 10 11 12 13 14 15 16 17 1 8 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 9 11 12 13 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 11 12

More information

1 1 36 223 42 14 92 4 3 2 1 4 3 4 3429 13536 5 6 7 8 9 2.4m/ (M) (M) (M) (M) (M) 6.67.3 6.57.2 6.97.6 7.27.8 8.4 5 6 5 6 5 5 74 1,239 0 30 21 ( ) 1,639 3,898 0 1,084 887 2 5 0 2 2 4 22 1 3 1 ( :) 426 1500

More information

1 C 2 C 3 C 4 C 1 C 2 C 3 C

1 C 2 C 3 C 4 C 1 C 2 C 3 C 1 e N >. C 40 41 2 >. C 3 >.. C 26 >.. C .mm 4 C 106 e A 107 1 C 2 C 3 C 4 C 1 C 2 C 3 C 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124

More information