Othello Quiz 2003

今年も毎年恒例の第5回クイズコンテストが開催されました。今年は71人もの参加者がありました。今回の問題も去年に引き続いて難しく平均点は 約3点でした。

Result

1 永井 誠一 7
1 景山 充人 7
1 永井 一矢 7
1 金子 真一郎 7
5 Jake Jacobs 6
5 西川 清一 6
 

Problem1


Problem1 Answer

         1. R  21/16 6/5                       0.412
              95% confidence interval:
                 - money cubeless eq.: 0.062 ±0.032.
          2. R  6/1 6/5                         0.325 (-0.087)
              95% confidence interval:
                 - money cubeless eq.: 0.053 ±0.027.

          3. R  21/16 8/7                       0.299 (-0.113)
              95% confidence interval:
                 - money cubeless eq.: -0.040 ±0.026.
          4. R  7/1                             0.247 (-0.165)
              95% confidence interval:
                 - money cubeless eq.: 0.005 ±0.023.

          5. R  8/7 6/1                         0.208 (-0.204)
              95% confidence interval:
                 - money cubeless eq.: -0.040 ±0.025.
             

 

Problem2


Problem2 Answer
          1. R  23/17 23/18                    -0.717
              Live cube rollout: -0.708
              95% confidence interval:
                 - money cubeless eq.: -0.458 ±0.019,
                 - live cube: -0.708 ±0.018.
          2. R  23/17 7/2                      -0.869 (-0.152)
              Live cube rollout: -0.848
              95% confidence interval:
                 - money cubeless eq.: -0.522 ±0.022,
                 - live cube: -0.848 ±0.023.
          3. R  23/12                          -0.961 (-0.245)
              Live cube rollout: -0.950
              95% confidence interval:
                 - money cubeless eq.: -0.561 ±0.019,
                 - live cube: -0.950 ±0.019.

 

Problem3


Problem3 Answer
          1. R  8/3 6/3                         2.024
              95% confidence interval:
                 - money cubeless eq.: 1.490 ±0.017.
          2. R  17/9                            1.869 (-0.155)
              95% confidence interval:
                 - money cubeless eq.: 1.424 ±0.015.
          3. R  17/14 9/4                       1.828 (-0.195)
              95% confidence interval:
                 - money cubeless eq.: 1.399 ±0.018.

          4. R  20/17 13/8                      1.803 (-0.221)
              95% confidence interval:
                 - money cubeless eq.: 1.366 ±0.015.

          5. R  20/12                           1.786 (-0.238)
              95% confidence interval:
                 - money cubeless eq.: 1.351 ±0.018.
          
 

 

Problem4


Problem4 Answer
          1. R  22/21 13/10                     0.342
              95% confidence interval:
                 - money cubeless eq.: 0.098 ±0.022.

          2. R  13/10 6/5                       0.263 (-0.079)
              95% confidence interval:
                 - money cubeless eq.: 0.008 ±0.019.
          3. R  6/2*                            0.260 (-0.082)
              95% confidence interval:
                 - money cubeless eq.: -0.034 ±0.019.

          4. R  8/5 6/5                         0.250 (-0.091)
              95% confidence interval:
                 - money cubeless eq.: -0.051 ±0.019.

          5. R  22/21 10/7                      0.201 (-0.141)
              95% confidence interval:
                 - money cubeless eq.: -0.108 ±0.022.



 

Problem5


Problem5 Answer
          1. R  bar/22(2) 13/10(2)              0.499
              95% confidence interval:
                 - money cubeless eq.: 0.312 ±0.022.

          2. R  bar/22(2) 13/7                  0.422 (-0.077)
              95% confidence interval:
                 - money cubeless eq.: 0.278 ±0.020.
          3. R  bar/22(2) 9/3*                  0.386 (-0.113)
              95% confidence interval:
                 - money cubeless eq.: 0.273 ±0.025.

          4. R  bar/22(2) 5/2*(2)               0.368 (-0.131)
              95% confidence interval:
                 - money cubeless eq.: 0.223 ±0.025.
          5. R  bar/22(2) 6/3*(2)               0.238 (-0.261)
              95% confidence interval:
                 - money cubeless eq.: 0.150 ±0.023.

 

Problem6


Problem6 Answer

          1. R  9/5* 6/4(2)                     0.428
              95% confidence interval:
                 - money cubeless eq.: -0.053 ±0.019.

          2. R  6/4(3) 4/2                      0.268 (-0.160)
              95% confidence interval:
                 - money cubeless eq.: -0.104 ±0.019.
          3. R  9/5* 6/2                        0.197 (-0.231)
              95% confidence interval:
                 - money cubeless eq.: -0.174 ±0.021.

          4. R  9/7(2) 6/4(2)                   0.164 (-0.264)
              95% confidence interval:
                 - money cubeless eq.: -0.198 ±0.020.
          5. R  9/5*(2)                         0.151 (-0.277)
              95% confidence interval:
                 - money cubeless eq.: -0.152 ±0.020.
           

 

Problem7


Problem7 Answer
  
          1. R  15/10 6/5                       0.772
              95% confidence interval:
                 - money cubeless eq.: 0.578 ±0.025.
          2. R  15/9                            0.700 (-0.073)
              95% confidence interval:
                 - money cubeless eq.: 0.512 ±0.027.

          3. R  15/10 7/6                       0.663 (-0.110)
              95% confidence interval:
                 - money cubeless eq.: 0.440 ±0.027.

          4. R  21/15                           0.615 (-0.157)
              95% confidence interval:
                 - money cubeless eq.: 0.419 ±0.024.
          5. R  7/2* 3/2                        0.590 (-0.183)
              95% confidence interval:
                 - money cubeless eq.: 0.385 ±0.027.

 

Problem8


Problem8 Answer
 
          1. R  24/16 8/4(2)                    0.296
              95% confidence interval:
                 - money cubeless eq.: 0.200 ±0.019.

          2. R  24/20 15/11 8/4(2)              0.186 (-0.110)
              95% confidence interval:
                 - money cubeless eq.: 0.146 ±0.018.

          3. R  24/16 15/11 10/6                0.148 (-0.148)
              95% confidence interval:
                 - money cubeless eq.: 0.099 ±0.020.
 
          4. R  8/4(2) 6/2(2)                   0.132 (-0.164)
              95% confidence interval:
                 - money cubeless eq.: 0.093 ±0.023.
          5. R  24/20 10/6 8/4(2)               0.100 (-0.195)
              95% confidence interval:
                 - money cubeless eq.: 0.083 ±0.017.
               

 

Problem9


Problem9 Answer

          1. R  13/6                            0.234
              95% confidence interval:
                 - money cubeless eq.: 0.352 ±0.012.
          2. R  14/7                            0.123 (-0.111)
              95% confidence interval:
                 - money cubeless eq.: 0.266 ±0.012.
          3. R  13/7 8/7                        0.111 (-0.123)
              95% confidence interval:
                 - money cubeless eq.: 0.251 ±0.014.

          4. R  8/1*                           -0.034 (-0.268)
              95% confidence interval:
                 - money cubeless eq.: 0.130 ±0.014.

          5. R  14/8 2/1*                      -0.040 (-0.274)
              95% confidence interval:
                 - money cubeless eq.: 0.125 ±0.013.


 

Problem10


Problem10 Answer

          1. R  24/17*                          0.445
              95% confidence interval:
                 - money cubeless eq.: 0.294 ±0.020.

          2. R  9/4*/2                          0.252 (-0.193)
              95% confidence interval:
                 - money cubeless eq.: 0.190 ±0.023.

          3. R  9/2                             0.180 (-0.265)
              95% confidence interval:
                 - money cubeless eq.: 0.134 ±0.022.
          4. R  9/4* 6/4                        0.093 (-0.353)
              95% confidence interval:
                 - money cubeless eq.: 0.073 ±0.020.