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You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a purple pentagon, (1) a pink square, (2) a purple triangle, (3) a blue diamond, (4) a green diamond, (5) a brown star, (6) a red pentagon, and (7) a pink circle. Starting at position 4 (the green diamond), move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green diamond, a pink square, a blue diamond, a purple pentagon, a purple triangle, a pink circle, a red pentagon, and a brown star. You start at the green diamond, then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple pentagon, 1: pink square, 2: purple triangle, 3: blue diamond, 4: green diamond, 5: brown star, 6: red pentagon, 7: pink circle. Starting at index 4 (green diamond). Move 3 steps counter-clockwise to index 1 (pink square). Move 2 steps clockwise to index 3 (blue diamond). Move 1 step counter-clockwise to index 2 (purple triangle). Move 3 steps clockwise to index 5 (brown star). Move 1 step clockwise to index 6 (red pentagon). Move 3 steps clockwise to index 1 (pink square). Move 4 steps counter-clockwise to index 5 (brown star). Move 2 steps counter-clockwise to index 3 (blue diamond). Therefore, we end at blue diamond. Final answer: blue diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple pentagon, 1: pink square, 2: purple triangle, 3: blue diamond, 4: green diamond, 5: brown star, 6: red pentagon, 7: pink circle. Starting at index 4 (green diamond). Move 3 steps counter-clockwise to index 1 (pink square). Move 2 steps clockwise to index 3 (blue diamond). Move 1 step counter-clockwise to index 2 (purple triangle). Move 3 steps clockwise to index 5 (brown star). Move 1 step clockwise to index 6 (red pentagon). Move 3 steps clockwise to index 1 (pink square). Move 4 steps counter-clockwise to index 5 (brown star). Move 2 steps counter-clockwise to index 3 (blue diamond). Therefore, we end at blue diamond. Final answer: blue diamond
blue diamond
["purple pentagon", "pink square", "purple triangle", "blue diamond", "green diamond", "brown star", "red pentagon", "pink circle"]
[-3, 2, -1, 3, 1, 3, -4, -2]
4
3
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a purple star, (1) a yellow star, (2) a teal diamond, (3) a green pentagon, (4) a pink triangle, (5) a brown pentagon, (6) a brown circle, and (7) a pink pentagon. Starting at position 1 (the yellow star), move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a yellow star, a brown pentagon, a purple star, a pink triangle, a green pentagon, a pink pentagon, a teal diamond, and a brown circle. You start at the yellow star, then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple star, 1: yellow star, 2: teal diamond, 3: green pentagon, 4: pink triangle, 5: brown pentagon, 6: brown circle, 7: pink pentagon. Starting at index 1 (yellow star). Move 1 step clockwise to index 2 (teal diamond). Move 2 steps clockwise to index 4 (pink triangle). Move 4 steps clockwise to index 0 (purple star). Move 3 steps clockwise to index 3 (green pentagon). Move 2 steps clockwise to index 5 (brown pentagon). Move 4 steps clockwise to index 1 (yellow star). Move 1 step counter-clockwise to index 0 (purple star). Move 1 step clockwise to index 1 (yellow star). Therefore, we end at yellow star. Final answer: yellow star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple star, 1: yellow star, 2: teal diamond, 3: green pentagon, 4: pink triangle, 5: brown pentagon, 6: brown circle, 7: pink pentagon. Starting at index 1 (yellow star). Move 1 step clockwise to index 2 (teal diamond). Move 2 steps clockwise to index 4 (pink triangle). Move 4 steps clockwise to index 0 (purple star). Move 3 steps clockwise to index 3 (green pentagon). Move 2 steps clockwise to index 5 (brown pentagon). Move 4 steps clockwise to index 1 (yellow star). Move 1 step counter-clockwise to index 0 (purple star). Move 1 step clockwise to index 1 (yellow star). Therefore, we end at yellow star. Final answer: yellow star
yellow star
["purple star", "yellow star", "teal diamond", "green pentagon", "pink triangle", "brown pentagon", "brown circle", "pink pentagon"]
[1, 2, 4, 3, 2, 4, -1, 1]
1
1
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a blue circle, (1) a green diamond, (2) a green hexagon, (3) a brown star, (4) a blue star, (5) a gray triangle, (6) a yellow hexagon, and (7) a gray star. Starting at position 6 (the yellow hexagon), move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a gray star, a brown star, a green diamond, a green hexagon, a blue circle, a blue star, a gray triangle, and a yellow hexagon. You start at the yellow hexagon, then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue circle, 1: green diamond, 2: green hexagon, 3: brown star, 4: blue star, 5: gray triangle, 6: yellow hexagon, 7: gray star. Starting at index 6 (yellow hexagon). Move 3 steps counter-clockwise to index 3 (brown star). Move 2 steps counter-clockwise to index 1 (green diamond). Move 4 steps clockwise to index 5 (gray triangle). Move 1 step counter-clockwise to index 4 (blue star). Move 3 steps clockwise to index 7 (gray star). Move 2 steps clockwise to index 1 (green diamond). Move 3 steps counter-clockwise to index 6 (yellow hexagon). Move 4 steps counter-clockwise to index 2 (green hexagon). Therefore, we end at green hexagon. Final answer: green hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue circle, 1: green diamond, 2: green hexagon, 3: brown star, 4: blue star, 5: gray triangle, 6: yellow hexagon, 7: gray star. Starting at index 6 (yellow hexagon). Move 3 steps counter-clockwise to index 3 (brown star). Move 2 steps counter-clockwise to index 1 (green diamond). Move 4 steps clockwise to index 5 (gray triangle). Move 1 step counter-clockwise to index 4 (blue star). Move 3 steps clockwise to index 7 (gray star). Move 2 steps clockwise to index 1 (green diamond). Move 3 steps counter-clockwise to index 6 (yellow hexagon). Move 4 steps counter-clockwise to index 2 (green hexagon). Therefore, we end at green hexagon. Final answer: green hexagon
green hexagon
["blue circle", "green diamond", "green hexagon", "brown star", "blue star", "gray triangle", "yellow hexagon", "gray star"]
[-3, -2, 4, -1, 3, 2, -3, -4]
6
2
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green circle, (1) a pink diamond, (2) a green hexagon, (3) a blue star, (4) a green diamond, (5) a red diamond, (6) a red star, and (7) a blue triangle. Starting at position 2 (the green hexagon), move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red star, a blue triangle, a green circle, a pink diamond, a red diamond, a green diamond, a green hexagon, and a blue star. You start at the green hexagon, then move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green circle, 1: pink diamond, 2: green hexagon, 3: blue star, 4: green diamond, 5: red diamond, 6: red star, 7: blue triangle. Starting at index 2 (green hexagon). Move 2 steps counter-clockwise to index 0 (green circle). Move 1 step clockwise to index 1 (pink diamond). Move 2 steps clockwise to index 3 (blue star). Move 4 steps counter-clockwise to index 7 (blue triangle). Move 1 step clockwise to index 0 (green circle). Move 2 steps clockwise to index 2 (green hexagon). Move 1 step clockwise to index 3 (blue star). Move 4 steps clockwise to index 7 (blue triangle). Therefore, we end at blue triangle. Final answer: blue triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green circle, 1: pink diamond, 2: green hexagon, 3: blue star, 4: green diamond, 5: red diamond, 6: red star, 7: blue triangle. Starting at index 2 (green hexagon). Move 2 steps counter-clockwise to index 0 (green circle). Move 1 step clockwise to index 1 (pink diamond). Move 2 steps clockwise to index 3 (blue star). Move 4 steps counter-clockwise to index 7 (blue triangle). Move 1 step clockwise to index 0 (green circle). Move 2 steps clockwise to index 2 (green hexagon). Move 1 step clockwise to index 3 (blue star). Move 4 steps clockwise to index 7 (blue triangle). Therefore, we end at blue triangle. Final answer: blue triangle
blue triangle
["green circle", "pink diamond", "green hexagon", "blue star", "green diamond", "red diamond", "red star", "blue triangle"]
[-2, 1, 2, -4, 1, 2, 1, 4]
2
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a blue triangle, (1) a red hexagon, (2) a pink circle, (3) a blue pentagon, (4) a brown diamond, (5) a pink triangle, (6) a purple square, and (7) a yellow diamond. Starting at position 5 (the pink triangle), move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown diamond, a yellow diamond, a pink circle, a pink triangle, a purple square, a red hexagon, a blue pentagon, and a blue triangle. You start at the pink triangle, then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue triangle, 1: red hexagon, 2: pink circle, 3: blue pentagon, 4: brown diamond, 5: pink triangle, 6: purple square, 7: yellow diamond. Starting at index 5 (pink triangle). Move 4 steps counter-clockwise to index 1 (red hexagon). Move 2 steps counter-clockwise to index 7 (yellow diamond). Move 4 steps clockwise to index 3 (blue pentagon). Move 1 step clockwise to index 4 (brown diamond). Move 4 steps clockwise to index 0 (blue triangle). Move 4 steps counter-clockwise to index 4 (brown diamond). Move 1 step clockwise to index 5 (pink triangle). Move 2 steps clockwise to index 7 (yellow diamond). Therefore, we end at yellow diamond. Final answer: yellow diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue triangle, 1: red hexagon, 2: pink circle, 3: blue pentagon, 4: brown diamond, 5: pink triangle, 6: purple square, 7: yellow diamond. Starting at index 5 (pink triangle). Move 4 steps counter-clockwise to index 1 (red hexagon). Move 2 steps counter-clockwise to index 7 (yellow diamond). Move 4 steps clockwise to index 3 (blue pentagon). Move 1 step clockwise to index 4 (brown diamond). Move 4 steps clockwise to index 0 (blue triangle). Move 4 steps counter-clockwise to index 4 (brown diamond). Move 1 step clockwise to index 5 (pink triangle). Move 2 steps clockwise to index 7 (yellow diamond). Therefore, we end at yellow diamond. Final answer: yellow diamond
yellow diamond
["blue triangle", "red hexagon", "pink circle", "blue pentagon", "brown diamond", "pink triangle", "purple square", "yellow diamond"]
[-4, -2, 4, 1, 4, -4, 1, 2]
5
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a teal hexagon, (1) a red triangle, (2) an orange pentagon, (3) a green star, (4) a yellow hexagon, (5) a teal star, (6) a brown circle, and (7) a blue diamond. Starting at position 1 (the red triangle), move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown circle, a blue diamond, a green star, a teal star, an orange pentagon, a teal hexagon, a yellow hexagon, and a red triangle. You start at the red triangle, then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal hexagon, 1: red triangle, 2: orange pentagon, 3: green star, 4: yellow hexagon, 5: teal star, 6: brown circle, 7: blue diamond. Starting at index 1 (red triangle). Move 3 steps counter-clockwise to index 6 (brown circle). Move 4 steps counter-clockwise to index 2 (orange pentagon). Move 3 steps clockwise to index 5 (teal star). Move 2 steps counter-clockwise to index 3 (green star). Move 2 steps counter-clockwise to index 1 (red triangle). Move 4 steps clockwise to index 5 (teal star). Move 2 steps counter-clockwise to index 3 (green star). Move 4 steps counter-clockwise to index 7 (blue diamond). Therefore, we end at blue diamond. Final answer: blue diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal hexagon, 1: red triangle, 2: orange pentagon, 3: green star, 4: yellow hexagon, 5: teal star, 6: brown circle, 7: blue diamond. Starting at index 1 (red triangle). Move 3 steps counter-clockwise to index 6 (brown circle). Move 4 steps counter-clockwise to index 2 (orange pentagon). Move 3 steps clockwise to index 5 (teal star). Move 2 steps counter-clockwise to index 3 (green star). Move 2 steps counter-clockwise to index 1 (red triangle). Move 4 steps clockwise to index 5 (teal star). Move 2 steps counter-clockwise to index 3 (green star). Move 4 steps counter-clockwise to index 7 (blue diamond). Therefore, we end at blue diamond. Final answer: blue diamond
blue diamond
["teal hexagon", "red triangle", "orange pentagon", "green star", "yellow hexagon", "teal star", "brown circle", "blue diamond"]
[-3, -4, 3, -2, -2, 4, -2, -4]
1
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a purple pentagon, (1) a red star, (2) a blue diamond, (3) an orange hexagon, (4) a teal triangle, (5) a pink star, (6) a green circle, and (7) a gray diamond. Starting at position 6 (the green circle), move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a blue diamond, an orange hexagon, a gray diamond, a purple pentagon, a green circle, a teal triangle, a red star, and a pink star. You start at the green circle, then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple pentagon, 1: red star, 2: blue diamond, 3: orange hexagon, 4: teal triangle, 5: pink star, 6: green circle, 7: gray diamond. Starting at index 6 (green circle). Move 2 steps clockwise to index 0 (purple pentagon). Move 2 steps counter-clockwise to index 6 (green circle). Move 3 steps counter-clockwise to index 3 (orange hexagon). Move 4 steps clockwise to index 7 (gray diamond). Move 2 steps clockwise to index 1 (red star). Move 3 steps clockwise to index 4 (teal triangle). Move 1 step clockwise to index 5 (pink star). Move 1 step counter-clockwise to index 4 (teal triangle). Therefore, we end at teal triangle. Final answer: teal triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple pentagon, 1: red star, 2: blue diamond, 3: orange hexagon, 4: teal triangle, 5: pink star, 6: green circle, 7: gray diamond. Starting at index 6 (green circle). Move 2 steps clockwise to index 0 (purple pentagon). Move 2 steps counter-clockwise to index 6 (green circle). Move 3 steps counter-clockwise to index 3 (orange hexagon). Move 4 steps clockwise to index 7 (gray diamond). Move 2 steps clockwise to index 1 (red star). Move 3 steps clockwise to index 4 (teal triangle). Move 1 step clockwise to index 5 (pink star). Move 1 step counter-clockwise to index 4 (teal triangle). Therefore, we end at teal triangle. Final answer: teal triangle
teal triangle
["purple pentagon", "red star", "blue diamond", "orange hexagon", "teal triangle", "pink star", "green circle", "gray diamond"]
[2, -2, -3, 4, 2, 3, 1, -1]
6
4
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a purple circle, (1) a green star, (2) a green pentagon, (3) a red hexagon, (4) a brown triangle, (5) a pink circle, (6) a brown square, and (7) an orange square. Starting at position 6 (the brown square), move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown triangle, a red hexagon, a green star, a purple circle, an orange square, a brown square, a green pentagon, and a pink circle. You start at the brown square, then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple circle, 1: green star, 2: green pentagon, 3: red hexagon, 4: brown triangle, 5: pink circle, 6: brown square, 7: orange square. Starting at index 6 (brown square). Move 4 steps counter-clockwise to index 2 (green pentagon). Move 2 steps clockwise to index 4 (brown triangle). Move 1 step clockwise to index 5 (pink circle). Move 4 steps counter-clockwise to index 1 (green star). Move 2 steps counter-clockwise to index 7 (orange square). Move 2 steps counter-clockwise to index 5 (pink circle). Move 4 steps clockwise to index 1 (green star). Move 2 steps clockwise to index 3 (red hexagon). Therefore, we end at red hexagon. Final answer: red hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple circle, 1: green star, 2: green pentagon, 3: red hexagon, 4: brown triangle, 5: pink circle, 6: brown square, 7: orange square. Starting at index 6 (brown square). Move 4 steps counter-clockwise to index 2 (green pentagon). Move 2 steps clockwise to index 4 (brown triangle). Move 1 step clockwise to index 5 (pink circle). Move 4 steps counter-clockwise to index 1 (green star). Move 2 steps counter-clockwise to index 7 (orange square). Move 2 steps counter-clockwise to index 5 (pink circle). Move 4 steps clockwise to index 1 (green star). Move 2 steps clockwise to index 3 (red hexagon). Therefore, we end at red hexagon. Final answer: red hexagon
red hexagon
["purple circle", "green star", "green pentagon", "red hexagon", "brown triangle", "pink circle", "brown square", "orange square"]
[-4, 2, 1, -4, -2, -2, 4, 2]
6
3
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a gray square, (1) a yellow square, (2) a pink triangle, (3) a brown circle, (4) a green hexagon, (5) a pink square, (6) a green pentagon, and (7) a red square. Starting at position 2 (the pink triangle), move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green pentagon, a green hexagon, a pink square, a yellow square, a red square, a gray square, a brown circle, and a pink triangle. You start at the pink triangle, then move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray square, 1: yellow square, 2: pink triangle, 3: brown circle, 4: green hexagon, 5: pink square, 6: green pentagon, 7: red square. Starting at index 2 (pink triangle). Move 4 steps counter-clockwise to index 6 (green pentagon). Move 4 steps counter-clockwise to index 2 (pink triangle). Move 3 steps clockwise to index 5 (pink square). Move 4 steps counter-clockwise to index 1 (yellow square). Move 4 steps clockwise to index 5 (pink square). Move 1 step counter-clockwise to index 4 (green hexagon). Move 1 step clockwise to index 5 (pink square). Move 3 steps clockwise to index 0 (gray square). Therefore, we end at gray square. Final answer: gray square
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray square, 1: yellow square, 2: pink triangle, 3: brown circle, 4: green hexagon, 5: pink square, 6: green pentagon, 7: red square. Starting at index 2 (pink triangle). Move 4 steps counter-clockwise to index 6 (green pentagon). Move 4 steps counter-clockwise to index 2 (pink triangle). Move 3 steps clockwise to index 5 (pink square). Move 4 steps counter-clockwise to index 1 (yellow square). Move 4 steps clockwise to index 5 (pink square). Move 1 step counter-clockwise to index 4 (green hexagon). Move 1 step clockwise to index 5 (pink square). Move 3 steps clockwise to index 0 (gray square). Therefore, we end at gray square. Final answer: gray square
gray square
["gray square", "yellow square", "pink triangle", "brown circle", "green hexagon", "pink square", "green pentagon", "red square"]
[-4, -4, 3, -4, 4, -1, 1, 3]
2
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a pink diamond, (1) a blue hexagon, (2) a blue circle, (3) a gray hexagon, (4) a red diamond, (5) a red square, (6) a yellow hexagon, and (7) an orange square. Starting at position 2 (the blue circle), move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red square, an orange square, a gray hexagon, a pink diamond, a blue circle, a yellow hexagon, a red diamond, and a blue hexagon. You start at the blue circle, then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink diamond, 1: blue hexagon, 2: blue circle, 3: gray hexagon, 4: red diamond, 5: red square, 6: yellow hexagon, 7: orange square. Starting at index 2 (blue circle). Move 2 steps counter-clockwise to index 0 (pink diamond). Move 4 steps clockwise to index 4 (red diamond). Move 3 steps clockwise to index 7 (orange square). Move 4 steps clockwise to index 3 (gray hexagon). Move 3 steps counter-clockwise to index 0 (pink diamond). Move 2 steps clockwise to index 2 (blue circle). Move 3 steps counter-clockwise to index 7 (orange square). Move 2 steps clockwise to index 1 (blue hexagon). Therefore, we end at blue hexagon. Final answer: blue hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink diamond, 1: blue hexagon, 2: blue circle, 3: gray hexagon, 4: red diamond, 5: red square, 6: yellow hexagon, 7: orange square. Starting at index 2 (blue circle). Move 2 steps counter-clockwise to index 0 (pink diamond). Move 4 steps clockwise to index 4 (red diamond). Move 3 steps clockwise to index 7 (orange square). Move 4 steps clockwise to index 3 (gray hexagon). Move 3 steps counter-clockwise to index 0 (pink diamond). Move 2 steps clockwise to index 2 (blue circle). Move 3 steps counter-clockwise to index 7 (orange square). Move 2 steps clockwise to index 1 (blue hexagon). Therefore, we end at blue hexagon. Final answer: blue hexagon
blue hexagon
["pink diamond", "blue hexagon", "blue circle", "gray hexagon", "red diamond", "red square", "yellow hexagon", "orange square"]
[-2, 4, 3, 4, -3, 2, -3, 2]
2
1
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a pink square, (1) a green hexagon, (2) a purple diamond, (3) an orange pentagon, (4) a gray star, (5) an orange star, (6) a gray triangle, and (7) a gray pentagon. Starting at position 0 (the pink square), move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: an orange pentagon, a green hexagon, a purple diamond, a gray triangle, a gray pentagon, an orange star, a pink square, and a gray star. You start at the pink square, then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink square, 1: green hexagon, 2: purple diamond, 3: orange pentagon, 4: gray star, 5: orange star, 6: gray triangle, 7: gray pentagon. Starting at index 0 (pink square). Move 4 steps counter-clockwise to index 4 (gray star). Move 1 step clockwise to index 5 (orange star). Move 2 steps clockwise to index 7 (gray pentagon). Move 1 step clockwise to index 0 (pink square). Move 4 steps clockwise to index 4 (gray star). Move 1 step counter-clockwise to index 3 (orange pentagon). Move 3 steps clockwise to index 6 (gray triangle). Move 2 steps clockwise to index 0 (pink square). Therefore, we end at pink square. Final answer: pink square
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink square, 1: green hexagon, 2: purple diamond, 3: orange pentagon, 4: gray star, 5: orange star, 6: gray triangle, 7: gray pentagon. Starting at index 0 (pink square). Move 4 steps counter-clockwise to index 4 (gray star). Move 1 step clockwise to index 5 (orange star). Move 2 steps clockwise to index 7 (gray pentagon). Move 1 step clockwise to index 0 (pink square). Move 4 steps clockwise to index 4 (gray star). Move 1 step counter-clockwise to index 3 (orange pentagon). Move 3 steps clockwise to index 6 (gray triangle). Move 2 steps clockwise to index 0 (pink square). Therefore, we end at pink square. Final answer: pink square
pink square
["pink square", "green hexagon", "purple diamond", "orange pentagon", "gray star", "orange star", "gray triangle", "gray pentagon"]
[-4, 1, 2, 1, 4, -1, 3, 2]
0
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a teal triangle, (1) a teal star, (2) a green pentagon, (3) a purple star, (4) a brown star, (5) a brown circle, (6) a gray triangle, and (7) a brown hexagon. Starting at position 3 (the purple star), move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown star, a gray triangle, a brown hexagon, a green pentagon, a teal star, a brown circle, a purple star, and a teal triangle. You start at the purple star, then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal triangle, 1: teal star, 2: green pentagon, 3: purple star, 4: brown star, 5: brown circle, 6: gray triangle, 7: brown hexagon. Starting at index 3 (purple star). Move 3 steps counter-clockwise to index 0 (teal triangle). Move 2 steps counter-clockwise to index 6 (gray triangle). Move 3 steps counter-clockwise to index 3 (purple star). Move 3 steps clockwise to index 6 (gray triangle). Move 4 steps clockwise to index 2 (green pentagon). Move 3 steps clockwise to index 5 (brown circle). Move 2 steps clockwise to index 7 (brown hexagon). Move 1 step counter-clockwise to index 6 (gray triangle). Therefore, we end at gray triangle. Final answer: gray triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal triangle, 1: teal star, 2: green pentagon, 3: purple star, 4: brown star, 5: brown circle, 6: gray triangle, 7: brown hexagon. Starting at index 3 (purple star). Move 3 steps counter-clockwise to index 0 (teal triangle). Move 2 steps counter-clockwise to index 6 (gray triangle). Move 3 steps counter-clockwise to index 3 (purple star). Move 3 steps clockwise to index 6 (gray triangle). Move 4 steps clockwise to index 2 (green pentagon). Move 3 steps clockwise to index 5 (brown circle). Move 2 steps clockwise to index 7 (brown hexagon). Move 1 step counter-clockwise to index 6 (gray triangle). Therefore, we end at gray triangle. Final answer: gray triangle
gray triangle
["teal triangle", "teal star", "green pentagon", "purple star", "brown star", "brown circle", "gray triangle", "brown hexagon"]
[-3, -2, -3, 3, 4, 3, 2, -1]
3
6
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green pentagon, (1) a purple square, (2) a pink circle, (3) a blue star, (4) a gray circle, (5) a red star, (6) a brown circle, and (7) a purple triangle. Starting at position 1 (the purple square), move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red star, a brown circle, a green pentagon, a purple square, a gray circle, a blue star, a pink circle, and a purple triangle. You start at the purple square, then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green pentagon, 1: purple square, 2: pink circle, 3: blue star, 4: gray circle, 5: red star, 6: brown circle, 7: purple triangle. Starting at index 1 (purple square). Move 2 steps clockwise to index 3 (blue star). Move 3 steps counter-clockwise to index 0 (green pentagon). Move 1 step clockwise to index 1 (purple square). Move 4 steps clockwise to index 5 (red star). Move 2 steps counter-clockwise to index 3 (blue star). Move 4 steps counter-clockwise to index 7 (purple triangle). Move 2 steps counter-clockwise to index 5 (red star). Move 2 steps clockwise to index 7 (purple triangle). Therefore, we end at purple triangle. Final answer: purple triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green pentagon, 1: purple square, 2: pink circle, 3: blue star, 4: gray circle, 5: red star, 6: brown circle, 7: purple triangle. Starting at index 1 (purple square). Move 2 steps clockwise to index 3 (blue star). Move 3 steps counter-clockwise to index 0 (green pentagon). Move 1 step clockwise to index 1 (purple square). Move 4 steps clockwise to index 5 (red star). Move 2 steps counter-clockwise to index 3 (blue star). Move 4 steps counter-clockwise to index 7 (purple triangle). Move 2 steps counter-clockwise to index 5 (red star). Move 2 steps clockwise to index 7 (purple triangle). Therefore, we end at purple triangle. Final answer: purple triangle
purple triangle
["green pentagon", "purple square", "pink circle", "blue star", "gray circle", "red star", "brown circle", "purple triangle"]
[2, -3, 1, 4, -2, -4, -2, 2]
1
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) an orange triangle, (1) a teal circle, (2) a yellow diamond, (3) a teal square, (4) a blue pentagon, (5) a brown star, (6) a gray pentagon, and (7) a red diamond. Starting at position 0 (the orange triangle), move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown star, a gray pentagon, a blue pentagon, a teal circle, a red diamond, a yellow diamond, a teal square, and an orange triangle. You start at the orange triangle, then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange triangle, 1: teal circle, 2: yellow diamond, 3: teal square, 4: blue pentagon, 5: brown star, 6: gray pentagon, 7: red diamond. Starting at index 0 (orange triangle). Move 4 steps counter-clockwise to index 4 (blue pentagon). Move 2 steps counter-clockwise to index 2 (yellow diamond). Move 1 step counter-clockwise to index 1 (teal circle). Move 1 step clockwise to index 2 (yellow diamond). Move 2 steps counter-clockwise to index 0 (orange triangle). Move 3 steps clockwise to index 3 (teal square). Move 3 steps counter-clockwise to index 0 (orange triangle). Move 2 steps clockwise to index 2 (yellow diamond). Therefore, we end at yellow diamond. Final answer: yellow diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange triangle, 1: teal circle, 2: yellow diamond, 3: teal square, 4: blue pentagon, 5: brown star, 6: gray pentagon, 7: red diamond. Starting at index 0 (orange triangle). Move 4 steps counter-clockwise to index 4 (blue pentagon). Move 2 steps counter-clockwise to index 2 (yellow diamond). Move 1 step counter-clockwise to index 1 (teal circle). Move 1 step clockwise to index 2 (yellow diamond). Move 2 steps counter-clockwise to index 0 (orange triangle). Move 3 steps clockwise to index 3 (teal square). Move 3 steps counter-clockwise to index 0 (orange triangle). Move 2 steps clockwise to index 2 (yellow diamond). Therefore, we end at yellow diamond. Final answer: yellow diamond
yellow diamond
["orange triangle", "teal circle", "yellow diamond", "teal square", "blue pentagon", "brown star", "gray pentagon", "red diamond"]
[-4, -2, -1, 1, -2, 3, -3, 2]
0
2
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a pink hexagon, (1) a purple hexagon, (2) a blue hexagon, (3) a yellow hexagon, (4) a teal star, (5) a blue square, (6) a red square, and (7) an orange square. Starting at position 4 (the teal star), move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a yellow hexagon, a red square, a teal star, a purple hexagon, an orange square, a pink hexagon, a blue hexagon, and a blue square. You start at the teal star, then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink hexagon, 1: purple hexagon, 2: blue hexagon, 3: yellow hexagon, 4: teal star, 5: blue square, 6: red square, 7: orange square. Starting at index 4 (teal star). Move 2 steps clockwise to index 6 (red square). Move 4 steps counter-clockwise to index 2 (blue hexagon). Move 1 step clockwise to index 3 (yellow hexagon). Move 4 steps counter-clockwise to index 7 (orange square). Move 3 steps clockwise to index 2 (blue hexagon). Move 4 steps counter-clockwise to index 6 (red square). Move 4 steps clockwise to index 2 (blue hexagon). Move 1 step counter-clockwise to index 1 (purple hexagon). Therefore, we end at purple hexagon. Final answer: purple hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink hexagon, 1: purple hexagon, 2: blue hexagon, 3: yellow hexagon, 4: teal star, 5: blue square, 6: red square, 7: orange square. Starting at index 4 (teal star). Move 2 steps clockwise to index 6 (red square). Move 4 steps counter-clockwise to index 2 (blue hexagon). Move 1 step clockwise to index 3 (yellow hexagon). Move 4 steps counter-clockwise to index 7 (orange square). Move 3 steps clockwise to index 2 (blue hexagon). Move 4 steps counter-clockwise to index 6 (red square). Move 4 steps clockwise to index 2 (blue hexagon). Move 1 step counter-clockwise to index 1 (purple hexagon). Therefore, we end at purple hexagon. Final answer: purple hexagon
purple hexagon
["pink hexagon", "purple hexagon", "blue hexagon", "yellow hexagon", "teal star", "blue square", "red square", "orange square"]
[2, -4, 1, -4, 3, -4, 4, -1]
4
1
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a blue triangle, (1) a green hexagon, (2) a yellow diamond, (3) a blue square, (4) a purple circle, (5) a brown hexagon, (6) a pink pentagon, and (7) a purple triangle. Starting at position 5 (the brown hexagon), move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a purple circle, a yellow diamond, a brown hexagon, a blue square, a purple triangle, a pink pentagon, a blue triangle, and a green hexagon. You start at the brown hexagon, then move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue triangle, 1: green hexagon, 2: yellow diamond, 3: blue square, 4: purple circle, 5: brown hexagon, 6: pink pentagon, 7: purple triangle. Starting at index 5 (brown hexagon). Move 3 steps clockwise to index 0 (blue triangle). Move 4 steps clockwise to index 4 (purple circle). Move 2 steps clockwise to index 6 (pink pentagon). Move 2 steps counter-clockwise to index 4 (purple circle). Move 3 steps counter-clockwise to index 1 (green hexagon). Move 3 steps counter-clockwise to index 6 (pink pentagon). Move 1 step clockwise to index 7 (purple triangle). Move 1 step clockwise to index 0 (blue triangle). Therefore, we end at blue triangle. Final answer: blue triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue triangle, 1: green hexagon, 2: yellow diamond, 3: blue square, 4: purple circle, 5: brown hexagon, 6: pink pentagon, 7: purple triangle. Starting at index 5 (brown hexagon). Move 3 steps clockwise to index 0 (blue triangle). Move 4 steps clockwise to index 4 (purple circle). Move 2 steps clockwise to index 6 (pink pentagon). Move 2 steps counter-clockwise to index 4 (purple circle). Move 3 steps counter-clockwise to index 1 (green hexagon). Move 3 steps counter-clockwise to index 6 (pink pentagon). Move 1 step clockwise to index 7 (purple triangle). Move 1 step clockwise to index 0 (blue triangle). Therefore, we end at blue triangle. Final answer: blue triangle
blue triangle
["blue triangle", "green hexagon", "yellow diamond", "blue square", "purple circle", "brown hexagon", "pink pentagon", "purple triangle"]
[3, 4, 2, -2, -3, -3, 1, 1]
5
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a teal diamond, (1) a gray hexagon, (2) a red triangle, (3) a pink square, (4) a pink hexagon, (5) a blue hexagon, (6) a gray pentagon, and (7) a brown diamond. Starting at position 5 (the blue hexagon), move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown diamond, a red triangle, a gray hexagon, a blue hexagon, a pink square, a teal diamond, a pink hexagon, and a gray pentagon. You start at the blue hexagon, then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal diamond, 1: gray hexagon, 2: red triangle, 3: pink square, 4: pink hexagon, 5: blue hexagon, 6: gray pentagon, 7: brown diamond. Starting at index 5 (blue hexagon). Move 1 step clockwise to index 6 (gray pentagon). Move 1 step clockwise to index 7 (brown diamond). Move 1 step counter-clockwise to index 6 (gray pentagon). Move 3 steps clockwise to index 1 (gray hexagon). Move 1 step counter-clockwise to index 0 (teal diamond). Move 1 step counter-clockwise to index 7 (brown diamond). Move 2 steps counter-clockwise to index 5 (blue hexagon). Move 2 steps clockwise to index 7 (brown diamond). Therefore, we end at brown diamond. Final answer: brown diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal diamond, 1: gray hexagon, 2: red triangle, 3: pink square, 4: pink hexagon, 5: blue hexagon, 6: gray pentagon, 7: brown diamond. Starting at index 5 (blue hexagon). Move 1 step clockwise to index 6 (gray pentagon). Move 1 step clockwise to index 7 (brown diamond). Move 1 step counter-clockwise to index 6 (gray pentagon). Move 3 steps clockwise to index 1 (gray hexagon). Move 1 step counter-clockwise to index 0 (teal diamond). Move 1 step counter-clockwise to index 7 (brown diamond). Move 2 steps counter-clockwise to index 5 (blue hexagon). Move 2 steps clockwise to index 7 (brown diamond). Therefore, we end at brown diamond. Final answer: brown diamond
brown diamond
["teal diamond", "gray hexagon", "red triangle", "pink square", "pink hexagon", "blue hexagon", "gray pentagon", "brown diamond"]
[1, 1, -1, 3, -1, -1, -2, 2]
5
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green diamond, (1) a yellow pentagon, (2) a green hexagon, (3) a gray circle, (4) a red square, (5) an orange star, (6) a brown circle, and (7) a red triangle. Starting at position 4 (the red square), move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red triangle, an orange star, a green diamond, a red square, a brown circle, a green hexagon, a yellow pentagon, and a gray circle. You start at the red square, then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green diamond, 1: yellow pentagon, 2: green hexagon, 3: gray circle, 4: red square, 5: orange star, 6: brown circle, 7: red triangle. Starting at index 4 (red square). Move 1 step counter-clockwise to index 3 (gray circle). Move 2 steps clockwise to index 5 (orange star). Move 1 step clockwise to index 6 (brown circle). Move 3 steps counter-clockwise to index 3 (gray circle). Move 1 step clockwise to index 4 (red square). Move 4 steps counter-clockwise to index 0 (green diamond). Move 1 step clockwise to index 1 (yellow pentagon). Move 1 step counter-clockwise to index 0 (green diamond). Therefore, we end at green diamond. Final answer: green diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green diamond, 1: yellow pentagon, 2: green hexagon, 3: gray circle, 4: red square, 5: orange star, 6: brown circle, 7: red triangle. Starting at index 4 (red square). Move 1 step counter-clockwise to index 3 (gray circle). Move 2 steps clockwise to index 5 (orange star). Move 1 step clockwise to index 6 (brown circle). Move 3 steps counter-clockwise to index 3 (gray circle). Move 1 step clockwise to index 4 (red square). Move 4 steps counter-clockwise to index 0 (green diamond). Move 1 step clockwise to index 1 (yellow pentagon). Move 1 step counter-clockwise to index 0 (green diamond). Therefore, we end at green diamond. Final answer: green diamond
green diamond
["green diamond", "yellow pentagon", "green hexagon", "gray circle", "red square", "orange star", "brown circle", "red triangle"]
[-1, 2, 1, -3, 1, -4, 1, -1]
4
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a teal pentagon, (1) a brown star, (2) a gray triangle, (3) a yellow square, (4) a gray pentagon, (5) a gray diamond, (6) a yellow circle, and (7) a red hexagon. Starting at position 6 (the yellow circle), move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a teal pentagon, a gray diamond, a yellow circle, a red hexagon, a gray pentagon, a yellow square, a brown star, and a gray triangle. You start at the yellow circle, then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal pentagon, 1: brown star, 2: gray triangle, 3: yellow square, 4: gray pentagon, 5: gray diamond, 6: yellow circle, 7: red hexagon. Starting at index 6 (yellow circle). Move 1 step clockwise to index 7 (red hexagon). Move 1 step clockwise to index 0 (teal pentagon). Move 3 steps counter-clockwise to index 5 (gray diamond). Move 1 step counter-clockwise to index 4 (gray pentagon). Move 3 steps clockwise to index 7 (red hexagon). Move 3 steps counter-clockwise to index 4 (gray pentagon). Move 3 steps counter-clockwise to index 1 (brown star). Move 4 steps counter-clockwise to index 5 (gray diamond). Therefore, we end at gray diamond. Final answer: gray diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal pentagon, 1: brown star, 2: gray triangle, 3: yellow square, 4: gray pentagon, 5: gray diamond, 6: yellow circle, 7: red hexagon. Starting at index 6 (yellow circle). Move 1 step clockwise to index 7 (red hexagon). Move 1 step clockwise to index 0 (teal pentagon). Move 3 steps counter-clockwise to index 5 (gray diamond). Move 1 step counter-clockwise to index 4 (gray pentagon). Move 3 steps clockwise to index 7 (red hexagon). Move 3 steps counter-clockwise to index 4 (gray pentagon). Move 3 steps counter-clockwise to index 1 (brown star). Move 4 steps counter-clockwise to index 5 (gray diamond). Therefore, we end at gray diamond. Final answer: gray diamond
gray diamond
["teal pentagon", "brown star", "gray triangle", "yellow square", "gray pentagon", "gray diamond", "yellow circle", "red hexagon"]
[1, 1, -3, -1, 3, -3, -3, -4]
6
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a gray diamond, (1) a brown hexagon, (2) a blue diamond, (3) a purple triangle, (4) a yellow square, (5) a teal diamond, (6) a green star, and (7) a purple circle. Starting at position 3 (the purple triangle), move 4 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a purple triangle, a purple circle, a blue diamond, a yellow square, a green star, a gray diamond, a brown hexagon, and a teal diamond. You start at the purple triangle, then move 4 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray diamond, 1: brown hexagon, 2: blue diamond, 3: purple triangle, 4: yellow square, 5: teal diamond, 6: green star, 7: purple circle. Starting at index 3 (purple triangle). Move 4 steps clockwise to index 7 (purple circle). Move 3 steps counter-clockwise to index 4 (yellow square). Move 4 steps counter-clockwise to index 0 (gray diamond). Move 3 steps counter-clockwise to index 5 (teal diamond). Move 3 steps clockwise to index 0 (gray diamond). Move 3 steps counter-clockwise to index 5 (teal diamond). Move 2 steps clockwise to index 7 (purple circle). Move 4 steps clockwise to index 3 (purple triangle). Therefore, we end at purple triangle. Final answer: purple triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray diamond, 1: brown hexagon, 2: blue diamond, 3: purple triangle, 4: yellow square, 5: teal diamond, 6: green star, 7: purple circle. Starting at index 3 (purple triangle). Move 4 steps clockwise to index 7 (purple circle). Move 3 steps counter-clockwise to index 4 (yellow square). Move 4 steps counter-clockwise to index 0 (gray diamond). Move 3 steps counter-clockwise to index 5 (teal diamond). Move 3 steps clockwise to index 0 (gray diamond). Move 3 steps counter-clockwise to index 5 (teal diamond). Move 2 steps clockwise to index 7 (purple circle). Move 4 steps clockwise to index 3 (purple triangle). Therefore, we end at purple triangle. Final answer: purple triangle
purple triangle
["gray diamond", "brown hexagon", "blue diamond", "purple triangle", "yellow square", "teal diamond", "green star", "purple circle"]
[4, -3, -4, -3, 3, -3, 2, 4]
3
3
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a gray square, (1) a red triangle, (2) a pink hexagon, (3) a green star, (4) a red pentagon, (5) a green diamond, (6) an orange triangle, and (7) a purple triangle. Starting at position 4 (the red pentagon), move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green star, a red triangle, a gray square, a green diamond, an orange triangle, a pink hexagon, a purple triangle, and a red pentagon. You start at the red pentagon, then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray square, 1: red triangle, 2: pink hexagon, 3: green star, 4: red pentagon, 5: green diamond, 6: orange triangle, 7: purple triangle. Starting at index 4 (red pentagon). Move 1 step clockwise to index 5 (green diamond). Move 1 step clockwise to index 6 (orange triangle). Move 4 steps counter-clockwise to index 2 (pink hexagon). Move 1 step counter-clockwise to index 1 (red triangle). Move 3 steps clockwise to index 4 (red pentagon). Move 3 steps clockwise to index 7 (purple triangle). Move 4 steps counter-clockwise to index 3 (green star). Move 1 step clockwise to index 4 (red pentagon). Therefore, we end at red pentagon. Final answer: red pentagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray square, 1: red triangle, 2: pink hexagon, 3: green star, 4: red pentagon, 5: green diamond, 6: orange triangle, 7: purple triangle. Starting at index 4 (red pentagon). Move 1 step clockwise to index 5 (green diamond). Move 1 step clockwise to index 6 (orange triangle). Move 4 steps counter-clockwise to index 2 (pink hexagon). Move 1 step counter-clockwise to index 1 (red triangle). Move 3 steps clockwise to index 4 (red pentagon). Move 3 steps clockwise to index 7 (purple triangle). Move 4 steps counter-clockwise to index 3 (green star). Move 1 step clockwise to index 4 (red pentagon). Therefore, we end at red pentagon. Final answer: red pentagon
red pentagon
["gray square", "red triangle", "pink hexagon", "green star", "red pentagon", "green diamond", "orange triangle", "purple triangle"]
[1, 1, -4, -1, 3, 3, -4, 1]
4
4
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green star, (1) a red circle, (2) an orange pentagon, (3) a gray square, (4) a blue pentagon, (5) a red triangle, (6) a brown star, and (7) a green pentagon. Starting at position 7 (the green pentagon), move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red triangle, a brown star, a green pentagon, an orange pentagon, a green star, a red circle, a gray square, and a blue pentagon. You start at the green pentagon, then move 4 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green star, 1: red circle, 2: orange pentagon, 3: gray square, 4: blue pentagon, 5: red triangle, 6: brown star, 7: green pentagon. Starting at index 7 (green pentagon). Move 4 steps counter-clockwise to index 3 (gray square). Move 1 step clockwise to index 4 (blue pentagon). Move 1 step clockwise to index 5 (red triangle). Move 2 steps counter-clockwise to index 3 (gray square). Move 4 steps clockwise to index 7 (green pentagon). Move 2 steps clockwise to index 1 (red circle). Move 1 step clockwise to index 2 (orange pentagon). Move 2 steps counter-clockwise to index 0 (green star). Therefore, we end at green star. Final answer: green star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green star, 1: red circle, 2: orange pentagon, 3: gray square, 4: blue pentagon, 5: red triangle, 6: brown star, 7: green pentagon. Starting at index 7 (green pentagon). Move 4 steps counter-clockwise to index 3 (gray square). Move 1 step clockwise to index 4 (blue pentagon). Move 1 step clockwise to index 5 (red triangle). Move 2 steps counter-clockwise to index 3 (gray square). Move 4 steps clockwise to index 7 (green pentagon). Move 2 steps clockwise to index 1 (red circle). Move 1 step clockwise to index 2 (orange pentagon). Move 2 steps counter-clockwise to index 0 (green star). Therefore, we end at green star. Final answer: green star
green star
["green star", "red circle", "orange pentagon", "gray square", "blue pentagon", "red triangle", "brown star", "green pentagon"]
[-4, 1, 1, -2, 4, 2, 1, -2]
7
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a red circle, (1) a brown star, (2) a green diamond, (3) a yellow circle, (4) a purple pentagon, (5) a yellow triangle, (6) a red hexagon, and (7) a teal square. Starting at position 1 (the brown star), move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a purple pentagon, a green diamond, a brown star, a teal square, a yellow circle, a red hexagon, a yellow triangle, and a red circle. You start at the brown star, then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red circle, 1: brown star, 2: green diamond, 3: yellow circle, 4: purple pentagon, 5: yellow triangle, 6: red hexagon, 7: teal square. Starting at index 1 (brown star). Move 2 steps clockwise to index 3 (yellow circle). Move 1 step counter-clockwise to index 2 (green diamond). Move 2 steps counter-clockwise to index 0 (red circle). Move 2 steps counter-clockwise to index 6 (red hexagon). Move 2 steps clockwise to index 0 (red circle). Move 1 step counter-clockwise to index 7 (teal square). Move 3 steps counter-clockwise to index 4 (purple pentagon). Move 2 steps counter-clockwise to index 2 (green diamond). Therefore, we end at green diamond. Final answer: green diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red circle, 1: brown star, 2: green diamond, 3: yellow circle, 4: purple pentagon, 5: yellow triangle, 6: red hexagon, 7: teal square. Starting at index 1 (brown star). Move 2 steps clockwise to index 3 (yellow circle). Move 1 step counter-clockwise to index 2 (green diamond). Move 2 steps counter-clockwise to index 0 (red circle). Move 2 steps counter-clockwise to index 6 (red hexagon). Move 2 steps clockwise to index 0 (red circle). Move 1 step counter-clockwise to index 7 (teal square). Move 3 steps counter-clockwise to index 4 (purple pentagon). Move 2 steps counter-clockwise to index 2 (green diamond). Therefore, we end at green diamond. Final answer: green diamond
green diamond
["red circle", "brown star", "green diamond", "yellow circle", "purple pentagon", "yellow triangle", "red hexagon", "teal square"]
[2, -1, -2, -2, 2, -1, -3, -2]
1
2
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a purple circle, (1) a yellow star, (2) a gray triangle, (3) a yellow square, (4) a green triangle, (5) a gray pentagon, (6) a green square, and (7) an orange star. Starting at position 2 (the gray triangle), move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a yellow star, a gray triangle, a yellow square, a green triangle, a purple circle, a green square, an orange star, and a gray pentagon. You start at the gray triangle, then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple circle, 1: yellow star, 2: gray triangle, 3: yellow square, 4: green triangle, 5: gray pentagon, 6: green square, 7: orange star. Starting at index 2 (gray triangle). Move 4 steps clockwise to index 6 (green square). Move 2 steps counter-clockwise to index 4 (green triangle). Move 4 steps counter-clockwise to index 0 (purple circle). Move 4 steps counter-clockwise to index 4 (green triangle). Move 3 steps counter-clockwise to index 1 (yellow star). Move 2 steps clockwise to index 3 (yellow square). Move 2 steps counter-clockwise to index 1 (yellow star). Move 1 step counter-clockwise to index 0 (purple circle). Therefore, we end at purple circle. Final answer: purple circle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple circle, 1: yellow star, 2: gray triangle, 3: yellow square, 4: green triangle, 5: gray pentagon, 6: green square, 7: orange star. Starting at index 2 (gray triangle). Move 4 steps clockwise to index 6 (green square). Move 2 steps counter-clockwise to index 4 (green triangle). Move 4 steps counter-clockwise to index 0 (purple circle). Move 4 steps counter-clockwise to index 4 (green triangle). Move 3 steps counter-clockwise to index 1 (yellow star). Move 2 steps clockwise to index 3 (yellow square). Move 2 steps counter-clockwise to index 1 (yellow star). Move 1 step counter-clockwise to index 0 (purple circle). Therefore, we end at purple circle. Final answer: purple circle
purple circle
["purple circle", "yellow star", "gray triangle", "yellow square", "green triangle", "gray pentagon", "green square", "orange star"]
[4, -2, -4, -4, -3, 2, -2, -1]
2
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) an orange pentagon, (1) an orange diamond, (2) a red star, (3) a teal diamond, (4) a teal pentagon, (5) a purple star, (6) a teal square, and (7) a teal triangle. Starting at position 5 (the purple star), move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a purple star, an orange pentagon, a teal diamond, a teal square, a teal triangle, a teal pentagon, an orange diamond, and a red star. You start at the purple star, then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange pentagon, 1: orange diamond, 2: red star, 3: teal diamond, 4: teal pentagon, 5: purple star, 6: teal square, 7: teal triangle. Starting at index 5 (purple star). Move 4 steps counter-clockwise to index 1 (orange diamond). Move 3 steps clockwise to index 4 (teal pentagon). Move 3 steps clockwise to index 7 (teal triangle). Move 3 steps counter-clockwise to index 4 (teal pentagon). Move 1 step clockwise to index 5 (purple star). Move 2 steps clockwise to index 7 (teal triangle). Move 1 step counter-clockwise to index 6 (teal square). Move 1 step counter-clockwise to index 5 (purple star). Therefore, we end at purple star. Final answer: purple star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange pentagon, 1: orange diamond, 2: red star, 3: teal diamond, 4: teal pentagon, 5: purple star, 6: teal square, 7: teal triangle. Starting at index 5 (purple star). Move 4 steps counter-clockwise to index 1 (orange diamond). Move 3 steps clockwise to index 4 (teal pentagon). Move 3 steps clockwise to index 7 (teal triangle). Move 3 steps counter-clockwise to index 4 (teal pentagon). Move 1 step clockwise to index 5 (purple star). Move 2 steps clockwise to index 7 (teal triangle). Move 1 step counter-clockwise to index 6 (teal square). Move 1 step counter-clockwise to index 5 (purple star). Therefore, we end at purple star. Final answer: purple star
purple star
["orange pentagon", "orange diamond", "red star", "teal diamond", "teal pentagon", "purple star", "teal square", "teal triangle"]
[-4, 3, 3, -3, 1, 2, -1, -1]
5
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a teal hexagon, (1) a gray pentagon, (2) a yellow circle, (3) a blue triangle, (4) a yellow triangle, (5) a green triangle, (6) a red triangle, and (7) a green pentagon. Starting at position 1 (the gray pentagon), move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a yellow triangle, a red triangle, a teal hexagon, a yellow circle, a blue triangle, a green triangle, a gray pentagon, and a green pentagon. You start at the gray pentagon, then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal hexagon, 1: gray pentagon, 2: yellow circle, 3: blue triangle, 4: yellow triangle, 5: green triangle, 6: red triangle, 7: green pentagon. Starting at index 1 (gray pentagon). Move 4 steps counter-clockwise to index 5 (green triangle). Move 4 steps clockwise to index 1 (gray pentagon). Move 4 steps counter-clockwise to index 5 (green triangle). Move 2 steps counter-clockwise to index 3 (blue triangle). Move 2 steps clockwise to index 5 (green triangle). Move 1 step clockwise to index 6 (red triangle). Move 3 steps counter-clockwise to index 3 (blue triangle). Move 4 steps clockwise to index 7 (green pentagon). Therefore, we end at green pentagon. Final answer: green pentagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal hexagon, 1: gray pentagon, 2: yellow circle, 3: blue triangle, 4: yellow triangle, 5: green triangle, 6: red triangle, 7: green pentagon. Starting at index 1 (gray pentagon). Move 4 steps counter-clockwise to index 5 (green triangle). Move 4 steps clockwise to index 1 (gray pentagon). Move 4 steps counter-clockwise to index 5 (green triangle). Move 2 steps counter-clockwise to index 3 (blue triangle). Move 2 steps clockwise to index 5 (green triangle). Move 1 step clockwise to index 6 (red triangle). Move 3 steps counter-clockwise to index 3 (blue triangle). Move 4 steps clockwise to index 7 (green pentagon). Therefore, we end at green pentagon. Final answer: green pentagon
green pentagon
["teal hexagon", "gray pentagon", "yellow circle", "blue triangle", "yellow triangle", "green triangle", "red triangle", "green pentagon"]
[-4, 4, -4, -2, 2, 1, -3, 4]
1
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a gray pentagon, (1) a brown diamond, (2) an orange circle, (3) a green hexagon, (4) a purple square, (5) a blue pentagon, (6) a purple diamond, and (7) a brown star. Starting at position 6 (the purple diamond), move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: an orange circle, a blue pentagon, a purple diamond, a gray pentagon, a brown star, a brown diamond, a purple square, and a green hexagon. You start at the purple diamond, then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray pentagon, 1: brown diamond, 2: orange circle, 3: green hexagon, 4: purple square, 5: blue pentagon, 6: purple diamond, 7: brown star. Starting at index 6 (purple diamond). Move 4 steps clockwise to index 2 (orange circle). Move 1 step counter-clockwise to index 1 (brown diamond). Move 3 steps counter-clockwise to index 6 (purple diamond). Move 2 steps clockwise to index 0 (gray pentagon). Move 2 steps clockwise to index 2 (orange circle). Move 4 steps clockwise to index 6 (purple diamond). Move 1 step clockwise to index 7 (brown star). Move 2 steps clockwise to index 1 (brown diamond). Therefore, we end at brown diamond. Final answer: brown diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray pentagon, 1: brown diamond, 2: orange circle, 3: green hexagon, 4: purple square, 5: blue pentagon, 6: purple diamond, 7: brown star. Starting at index 6 (purple diamond). Move 4 steps clockwise to index 2 (orange circle). Move 1 step counter-clockwise to index 1 (brown diamond). Move 3 steps counter-clockwise to index 6 (purple diamond). Move 2 steps clockwise to index 0 (gray pentagon). Move 2 steps clockwise to index 2 (orange circle). Move 4 steps clockwise to index 6 (purple diamond). Move 1 step clockwise to index 7 (brown star). Move 2 steps clockwise to index 1 (brown diamond). Therefore, we end at brown diamond. Final answer: brown diamond
brown diamond
["gray pentagon", "brown diamond", "orange circle", "green hexagon", "purple square", "blue pentagon", "purple diamond", "brown star"]
[4, -1, -3, 2, 2, 4, 1, 2]
6
1
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a yellow pentagon, (1) a purple pentagon, (2) a green circle, (3) a red pentagon, (4) a gray circle, (5) a brown hexagon, (6) a yellow triangle, and (7) a pink star. Starting at position 3 (the red pentagon), move 2 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown hexagon, a green circle, a purple pentagon, a yellow triangle, a red pentagon, a yellow pentagon, a pink star, and a gray circle. You start at the red pentagon, then move 2 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: yellow pentagon, 1: purple pentagon, 2: green circle, 3: red pentagon, 4: gray circle, 5: brown hexagon, 6: yellow triangle, 7: pink star. Starting at index 3 (red pentagon). Move 2 steps clockwise to index 5 (brown hexagon). Move 2 steps clockwise to index 7 (pink star). Move 1 step clockwise to index 0 (yellow pentagon). Move 3 steps clockwise to index 3 (red pentagon). Move 3 steps clockwise to index 6 (yellow triangle). Move 4 steps counter-clockwise to index 2 (green circle). Move 2 steps counter-clockwise to index 0 (yellow pentagon). Move 2 steps counter-clockwise to index 6 (yellow triangle). Therefore, we end at yellow triangle. Final answer: yellow triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: yellow pentagon, 1: purple pentagon, 2: green circle, 3: red pentagon, 4: gray circle, 5: brown hexagon, 6: yellow triangle, 7: pink star. Starting at index 3 (red pentagon). Move 2 steps clockwise to index 5 (brown hexagon). Move 2 steps clockwise to index 7 (pink star). Move 1 step clockwise to index 0 (yellow pentagon). Move 3 steps clockwise to index 3 (red pentagon). Move 3 steps clockwise to index 6 (yellow triangle). Move 4 steps counter-clockwise to index 2 (green circle). Move 2 steps counter-clockwise to index 0 (yellow pentagon). Move 2 steps counter-clockwise to index 6 (yellow triangle). Therefore, we end at yellow triangle. Final answer: yellow triangle
yellow triangle
["yellow pentagon", "purple pentagon", "green circle", "red pentagon", "gray circle", "brown hexagon", "yellow triangle", "pink star"]
[2, 2, 1, 3, 3, -4, -2, -2]
3
6
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a brown hexagon, (1) a yellow star, (2) a yellow square, (3) a red diamond, (4) a purple circle, (5) a brown pentagon, (6) a brown star, and (7) a pink diamond. Starting at position 5 (the brown pentagon), move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a purple circle, a brown hexagon, a red diamond, a yellow star, a yellow square, a brown pentagon, a brown star, and a pink diamond. You start at the brown pentagon, then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown hexagon, 1: yellow star, 2: yellow square, 3: red diamond, 4: purple circle, 5: brown pentagon, 6: brown star, 7: pink diamond. Starting at index 5 (brown pentagon). Move 2 steps counter-clockwise to index 3 (red diamond). Move 2 steps clockwise to index 5 (brown pentagon). Move 4 steps counter-clockwise to index 1 (yellow star). Move 3 steps clockwise to index 4 (purple circle). Move 1 step counter-clockwise to index 3 (red diamond). Move 1 step counter-clockwise to index 2 (yellow square). Move 2 steps counter-clockwise to index 0 (brown hexagon). Move 2 steps counter-clockwise to index 6 (brown star). Therefore, we end at brown star. Final answer: brown star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown hexagon, 1: yellow star, 2: yellow square, 3: red diamond, 4: purple circle, 5: brown pentagon, 6: brown star, 7: pink diamond. Starting at index 5 (brown pentagon). Move 2 steps counter-clockwise to index 3 (red diamond). Move 2 steps clockwise to index 5 (brown pentagon). Move 4 steps counter-clockwise to index 1 (yellow star). Move 3 steps clockwise to index 4 (purple circle). Move 1 step counter-clockwise to index 3 (red diamond). Move 1 step counter-clockwise to index 2 (yellow square). Move 2 steps counter-clockwise to index 0 (brown hexagon). Move 2 steps counter-clockwise to index 6 (brown star). Therefore, we end at brown star. Final answer: brown star
brown star
["brown hexagon", "yellow star", "yellow square", "red diamond", "purple circle", "brown pentagon", "brown star", "pink diamond"]
[-2, 2, -4, 3, -1, -1, -2, -2]
5
6
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a yellow star, (1) a blue square, (2) a blue hexagon, (3) an orange pentagon, (4) a pink square, (5) a teal square, (6) an orange square, and (7) a pink pentagon. Starting at position 5 (the teal square), move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: an orange pentagon, a teal square, a blue square, a pink pentagon, a yellow star, a pink square, a blue hexagon, and an orange square. You start at the teal square, then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: yellow star, 1: blue square, 2: blue hexagon, 3: orange pentagon, 4: pink square, 5: teal square, 6: orange square, 7: pink pentagon. Starting at index 5 (teal square). Move 1 step counter-clockwise to index 4 (pink square). Move 3 steps counter-clockwise to index 1 (blue square). Move 2 steps counter-clockwise to index 7 (pink pentagon). Move 3 steps clockwise to index 2 (blue hexagon). Move 2 steps counter-clockwise to index 0 (yellow star). Move 3 steps counter-clockwise to index 5 (teal square). Move 4 steps counter-clockwise to index 1 (blue square). Move 1 step counter-clockwise to index 0 (yellow star). Therefore, we end at yellow star. Final answer: yellow star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: yellow star, 1: blue square, 2: blue hexagon, 3: orange pentagon, 4: pink square, 5: teal square, 6: orange square, 7: pink pentagon. Starting at index 5 (teal square). Move 1 step counter-clockwise to index 4 (pink square). Move 3 steps counter-clockwise to index 1 (blue square). Move 2 steps counter-clockwise to index 7 (pink pentagon). Move 3 steps clockwise to index 2 (blue hexagon). Move 2 steps counter-clockwise to index 0 (yellow star). Move 3 steps counter-clockwise to index 5 (teal square). Move 4 steps counter-clockwise to index 1 (blue square). Move 1 step counter-clockwise to index 0 (yellow star). Therefore, we end at yellow star. Final answer: yellow star
yellow star
["yellow star", "blue square", "blue hexagon", "orange pentagon", "pink square", "teal square", "orange square", "pink pentagon"]
[-1, -3, -2, 3, -2, -3, -4, -1]
5
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a teal square, (1) a yellow diamond, (2) a pink pentagon, (3) a yellow square, (4) an orange pentagon, (5) a green triangle, (6) a blue triangle, and (7) a pink star. Starting at position 7 (the pink star), move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a pink pentagon, a teal square, a blue triangle, a pink star, a green triangle, an orange pentagon, a yellow diamond, and a yellow square. You start at the pink star, then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal square, 1: yellow diamond, 2: pink pentagon, 3: yellow square, 4: orange pentagon, 5: green triangle, 6: blue triangle, 7: pink star. Starting at index 7 (pink star). Move 1 step counter-clockwise to index 6 (blue triangle). Move 3 steps clockwise to index 1 (yellow diamond). Move 4 steps counter-clockwise to index 5 (green triangle). Move 1 step counter-clockwise to index 4 (orange pentagon). Move 1 step counter-clockwise to index 3 (yellow square). Move 4 steps counter-clockwise to index 7 (pink star). Move 2 steps clockwise to index 1 (yellow diamond). Move 4 steps clockwise to index 5 (green triangle). Therefore, we end at green triangle. Final answer: green triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal square, 1: yellow diamond, 2: pink pentagon, 3: yellow square, 4: orange pentagon, 5: green triangle, 6: blue triangle, 7: pink star. Starting at index 7 (pink star). Move 1 step counter-clockwise to index 6 (blue triangle). Move 3 steps clockwise to index 1 (yellow diamond). Move 4 steps counter-clockwise to index 5 (green triangle). Move 1 step counter-clockwise to index 4 (orange pentagon). Move 1 step counter-clockwise to index 3 (yellow square). Move 4 steps counter-clockwise to index 7 (pink star). Move 2 steps clockwise to index 1 (yellow diamond). Move 4 steps clockwise to index 5 (green triangle). Therefore, we end at green triangle. Final answer: green triangle
green triangle
["teal square", "yellow diamond", "pink pentagon", "yellow square", "orange pentagon", "green triangle", "blue triangle", "pink star"]
[-1, 3, -4, -1, -1, -4, 2, 4]
7
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a blue diamond, (1) a brown diamond, (2) a red circle, (3) an orange pentagon, (4) a purple triangle, (5) a teal star, (6) a gray hexagon, and (7) a green hexagon. Starting at position 2 (the red circle), move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red circle, a brown diamond, a purple triangle, a green hexagon, a teal star, an orange pentagon, a blue diamond, and a gray hexagon. You start at the red circle, then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue diamond, 1: brown diamond, 2: red circle, 3: orange pentagon, 4: purple triangle, 5: teal star, 6: gray hexagon, 7: green hexagon. Starting at index 2 (red circle). Move 2 steps clockwise to index 4 (purple triangle). Move 4 steps clockwise to index 0 (blue diamond). Move 2 steps clockwise to index 2 (red circle). Move 4 steps clockwise to index 6 (gray hexagon). Move 2 steps counter-clockwise to index 4 (purple triangle). Move 3 steps clockwise to index 7 (green hexagon). Move 3 steps counter-clockwise to index 4 (purple triangle). Move 2 steps counter-clockwise to index 2 (red circle). Therefore, we end at red circle. Final answer: red circle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue diamond, 1: brown diamond, 2: red circle, 3: orange pentagon, 4: purple triangle, 5: teal star, 6: gray hexagon, 7: green hexagon. Starting at index 2 (red circle). Move 2 steps clockwise to index 4 (purple triangle). Move 4 steps clockwise to index 0 (blue diamond). Move 2 steps clockwise to index 2 (red circle). Move 4 steps clockwise to index 6 (gray hexagon). Move 2 steps counter-clockwise to index 4 (purple triangle). Move 3 steps clockwise to index 7 (green hexagon). Move 3 steps counter-clockwise to index 4 (purple triangle). Move 2 steps counter-clockwise to index 2 (red circle). Therefore, we end at red circle. Final answer: red circle
red circle
["blue diamond", "brown diamond", "red circle", "orange pentagon", "purple triangle", "teal star", "gray hexagon", "green hexagon"]
[2, 4, 2, 4, -2, 3, -3, -2]
2
2
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) an orange diamond, (1) a pink triangle, (2) a yellow circle, (3) a yellow hexagon, (4) a pink circle, (5) a gray circle, (6) a teal diamond, and (7) a teal circle. Starting at position 4 (the pink circle), move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: an orange diamond, a pink circle, a yellow circle, a yellow hexagon, a teal diamond, a gray circle, a pink triangle, and a teal circle. You start at the pink circle, then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange diamond, 1: pink triangle, 2: yellow circle, 3: yellow hexagon, 4: pink circle, 5: gray circle, 6: teal diamond, 7: teal circle. Starting at index 4 (pink circle). Move 2 steps counter-clockwise to index 2 (yellow circle). Move 2 steps counter-clockwise to index 0 (orange diamond). Move 2 steps counter-clockwise to index 6 (teal diamond). Move 3 steps clockwise to index 1 (pink triangle). Move 2 steps counter-clockwise to index 7 (teal circle). Move 2 steps clockwise to index 1 (pink triangle). Move 1 step counter-clockwise to index 0 (orange diamond). Move 4 steps clockwise to index 4 (pink circle). Therefore, we end at pink circle. Final answer: pink circle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange diamond, 1: pink triangle, 2: yellow circle, 3: yellow hexagon, 4: pink circle, 5: gray circle, 6: teal diamond, 7: teal circle. Starting at index 4 (pink circle). Move 2 steps counter-clockwise to index 2 (yellow circle). Move 2 steps counter-clockwise to index 0 (orange diamond). Move 2 steps counter-clockwise to index 6 (teal diamond). Move 3 steps clockwise to index 1 (pink triangle). Move 2 steps counter-clockwise to index 7 (teal circle). Move 2 steps clockwise to index 1 (pink triangle). Move 1 step counter-clockwise to index 0 (orange diamond). Move 4 steps clockwise to index 4 (pink circle). Therefore, we end at pink circle. Final answer: pink circle
pink circle
["orange diamond", "pink triangle", "yellow circle", "yellow hexagon", "pink circle", "gray circle", "teal diamond", "teal circle"]
[-2, -2, -2, 3, -2, 2, -1, 4]
4
4
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a brown star, (1) an orange pentagon, (2) a green pentagon, (3) a gray pentagon, (4) a green triangle, (5) a blue triangle, (6) a blue hexagon, and (7) a brown pentagon. Starting at position 3 (the gray pentagon), move 3 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green triangle, a blue triangle, a green pentagon, an orange pentagon, a brown star, a gray pentagon, a blue hexagon, and a brown pentagon. You start at the gray pentagon, then move 3 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown star, 1: orange pentagon, 2: green pentagon, 3: gray pentagon, 4: green triangle, 5: blue triangle, 6: blue hexagon, 7: brown pentagon. Starting at index 3 (gray pentagon). Move 3 steps clockwise to index 6 (blue hexagon). Move 1 step clockwise to index 7 (brown pentagon). Move 3 steps clockwise to index 2 (green pentagon). Move 4 steps counter-clockwise to index 6 (blue hexagon). Move 1 step counter-clockwise to index 5 (blue triangle). Move 3 steps counter-clockwise to index 2 (green pentagon). Move 2 steps counter-clockwise to index 0 (brown star). Move 3 steps counter-clockwise to index 5 (blue triangle). Therefore, we end at blue triangle. Final answer: blue triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown star, 1: orange pentagon, 2: green pentagon, 3: gray pentagon, 4: green triangle, 5: blue triangle, 6: blue hexagon, 7: brown pentagon. Starting at index 3 (gray pentagon). Move 3 steps clockwise to index 6 (blue hexagon). Move 1 step clockwise to index 7 (brown pentagon). Move 3 steps clockwise to index 2 (green pentagon). Move 4 steps counter-clockwise to index 6 (blue hexagon). Move 1 step counter-clockwise to index 5 (blue triangle). Move 3 steps counter-clockwise to index 2 (green pentagon). Move 2 steps counter-clockwise to index 0 (brown star). Move 3 steps counter-clockwise to index 5 (blue triangle). Therefore, we end at blue triangle. Final answer: blue triangle
blue triangle
["brown star", "orange pentagon", "green pentagon", "gray pentagon", "green triangle", "blue triangle", "blue hexagon", "brown pentagon"]
[3, 1, 3, -4, -1, -3, -2, -3]
3
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a red diamond, (1) a red pentagon, (2) a green square, (3) a green hexagon, (4) a teal pentagon, (5) a blue star, (6) a pink hexagon, and (7) an orange triangle. Starting at position 5 (the blue star), move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a blue star, a red diamond, a pink hexagon, a green square, a red pentagon, an orange triangle, a teal pentagon, and a green hexagon. You start at the blue star, then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red diamond, 1: red pentagon, 2: green square, 3: green hexagon, 4: teal pentagon, 5: blue star, 6: pink hexagon, 7: orange triangle. Starting at index 5 (blue star). Move 3 steps counter-clockwise to index 2 (green square). Move 1 step counter-clockwise to index 1 (red pentagon). Move 3 steps clockwise to index 4 (teal pentagon). Move 3 steps counter-clockwise to index 1 (red pentagon). Move 3 steps clockwise to index 4 (teal pentagon). Move 3 steps clockwise to index 7 (orange triangle). Move 2 steps clockwise to index 1 (red pentagon). Move 4 steps counter-clockwise to index 5 (blue star). Therefore, we end at blue star. Final answer: blue star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red diamond, 1: red pentagon, 2: green square, 3: green hexagon, 4: teal pentagon, 5: blue star, 6: pink hexagon, 7: orange triangle. Starting at index 5 (blue star). Move 3 steps counter-clockwise to index 2 (green square). Move 1 step counter-clockwise to index 1 (red pentagon). Move 3 steps clockwise to index 4 (teal pentagon). Move 3 steps counter-clockwise to index 1 (red pentagon). Move 3 steps clockwise to index 4 (teal pentagon). Move 3 steps clockwise to index 7 (orange triangle). Move 2 steps clockwise to index 1 (red pentagon). Move 4 steps counter-clockwise to index 5 (blue star). Therefore, we end at blue star. Final answer: blue star
blue star
["red diamond", "red pentagon", "green square", "green hexagon", "teal pentagon", "blue star", "pink hexagon", "orange triangle"]
[-3, -1, 3, -3, 3, 3, 2, -4]
5
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a gray hexagon, (1) a red star, (2) a green triangle, (3) a purple hexagon, (4) a purple square, (5) a gray square, (6) a blue pentagon, and (7) a brown diamond. Starting at position 7 (the brown diamond), move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red star, a blue pentagon, a green triangle, a gray hexagon, a purple square, a brown diamond, a gray square, and a purple hexagon. You start at the brown diamond, then move 1 step in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray hexagon, 1: red star, 2: green triangle, 3: purple hexagon, 4: purple square, 5: gray square, 6: blue pentagon, 7: brown diamond. Starting at index 7 (brown diamond). Move 1 step clockwise to index 0 (gray hexagon). Move 2 steps counter-clockwise to index 6 (blue pentagon). Move 2 steps counter-clockwise to index 4 (purple square). Move 2 steps counter-clockwise to index 2 (green triangle). Move 1 step counter-clockwise to index 1 (red star). Move 2 steps counter-clockwise to index 7 (brown diamond). Move 3 steps clockwise to index 2 (green triangle). Move 4 steps counter-clockwise to index 6 (blue pentagon). Therefore, we end at blue pentagon. Final answer: blue pentagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray hexagon, 1: red star, 2: green triangle, 3: purple hexagon, 4: purple square, 5: gray square, 6: blue pentagon, 7: brown diamond. Starting at index 7 (brown diamond). Move 1 step clockwise to index 0 (gray hexagon). Move 2 steps counter-clockwise to index 6 (blue pentagon). Move 2 steps counter-clockwise to index 4 (purple square). Move 2 steps counter-clockwise to index 2 (green triangle). Move 1 step counter-clockwise to index 1 (red star). Move 2 steps counter-clockwise to index 7 (brown diamond). Move 3 steps clockwise to index 2 (green triangle). Move 4 steps counter-clockwise to index 6 (blue pentagon). Therefore, we end at blue pentagon. Final answer: blue pentagon
blue pentagon
["gray hexagon", "red star", "green triangle", "purple hexagon", "purple square", "gray square", "blue pentagon", "brown diamond"]
[1, -2, -2, -2, -1, -2, 3, -4]
7
6
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green circle, (1) an orange hexagon, (2) an orange triangle, (3) an orange diamond, (4) a blue hexagon, (5) a blue triangle, (6) a blue circle, and (7) a purple circle. Starting at position 5 (the blue triangle), move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green circle, a blue triangle, an orange triangle, a purple circle, an orange hexagon, an orange diamond, a blue circle, and a blue hexagon. You start at the blue triangle, then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green circle, 1: orange hexagon, 2: orange triangle, 3: orange diamond, 4: blue hexagon, 5: blue triangle, 6: blue circle, 7: purple circle. Starting at index 5 (blue triangle). Move 3 steps clockwise to index 0 (green circle). Move 4 steps counter-clockwise to index 4 (blue hexagon). Move 3 steps counter-clockwise to index 1 (orange hexagon). Move 1 step counter-clockwise to index 0 (green circle). Move 2 steps clockwise to index 2 (orange triangle). Move 2 steps counter-clockwise to index 0 (green circle). Move 2 steps clockwise to index 2 (orange triangle). Move 1 step clockwise to index 3 (orange diamond). Therefore, we end at orange diamond. Final answer: orange diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green circle, 1: orange hexagon, 2: orange triangle, 3: orange diamond, 4: blue hexagon, 5: blue triangle, 6: blue circle, 7: purple circle. Starting at index 5 (blue triangle). Move 3 steps clockwise to index 0 (green circle). Move 4 steps counter-clockwise to index 4 (blue hexagon). Move 3 steps counter-clockwise to index 1 (orange hexagon). Move 1 step counter-clockwise to index 0 (green circle). Move 2 steps clockwise to index 2 (orange triangle). Move 2 steps counter-clockwise to index 0 (green circle). Move 2 steps clockwise to index 2 (orange triangle). Move 1 step clockwise to index 3 (orange diamond). Therefore, we end at orange diamond. Final answer: orange diamond
orange diamond
["green circle", "orange hexagon", "orange triangle", "orange diamond", "blue hexagon", "blue triangle", "blue circle", "purple circle"]
[3, -4, -3, -1, 2, -2, 2, 1]
5
3
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a brown star, (1) a teal hexagon, (2) a purple pentagon, (3) a blue diamond, (4) a pink pentagon, (5) an orange hexagon, (6) a purple square, and (7) an orange diamond. Starting at position 2 (the purple pentagon), move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a teal hexagon, a purple square, an orange diamond, a blue diamond, a pink pentagon, an orange hexagon, a purple pentagon, and a brown star. You start at the purple pentagon, then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown star, 1: teal hexagon, 2: purple pentagon, 3: blue diamond, 4: pink pentagon, 5: orange hexagon, 6: purple square, 7: orange diamond. Starting at index 2 (purple pentagon). Move 3 steps counter-clockwise to index 7 (orange diamond). Move 4 steps counter-clockwise to index 3 (blue diamond). Move 4 steps clockwise to index 7 (orange diamond). Move 1 step clockwise to index 0 (brown star). Move 3 steps counter-clockwise to index 5 (orange hexagon). Move 1 step clockwise to index 6 (purple square). Move 1 step clockwise to index 7 (orange diamond). Move 1 step clockwise to index 0 (brown star). Therefore, we end at brown star. Final answer: brown star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown star, 1: teal hexagon, 2: purple pentagon, 3: blue diamond, 4: pink pentagon, 5: orange hexagon, 6: purple square, 7: orange diamond. Starting at index 2 (purple pentagon). Move 3 steps counter-clockwise to index 7 (orange diamond). Move 4 steps counter-clockwise to index 3 (blue diamond). Move 4 steps clockwise to index 7 (orange diamond). Move 1 step clockwise to index 0 (brown star). Move 3 steps counter-clockwise to index 5 (orange hexagon). Move 1 step clockwise to index 6 (purple square). Move 1 step clockwise to index 7 (orange diamond). Move 1 step clockwise to index 0 (brown star). Therefore, we end at brown star. Final answer: brown star
brown star
["brown star", "teal hexagon", "purple pentagon", "blue diamond", "pink pentagon", "orange hexagon", "purple square", "orange diamond"]
[-3, -4, 4, 1, -3, 1, 1, 1]
2
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) an orange star, (1) a purple pentagon, (2) a yellow hexagon, (3) a brown star, (4) a brown pentagon, (5) a gray square, (6) a brown diamond, and (7) a gray triangle. Starting at position 5 (the gray square), move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown diamond, a gray square, a yellow hexagon, a gray triangle, a brown star, an orange star, a brown pentagon, and a purple pentagon. You start at the gray square, then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange star, 1: purple pentagon, 2: yellow hexagon, 3: brown star, 4: brown pentagon, 5: gray square, 6: brown diamond, 7: gray triangle. Starting at index 5 (gray square). Move 3 steps counter-clockwise to index 2 (yellow hexagon). Move 1 step counter-clockwise to index 1 (purple pentagon). Move 1 step counter-clockwise to index 0 (orange star). Move 3 steps counter-clockwise to index 5 (gray square). Move 4 steps counter-clockwise to index 1 (purple pentagon). Move 3 steps counter-clockwise to index 6 (brown diamond). Move 2 steps counter-clockwise to index 4 (brown pentagon). Move 3 steps clockwise to index 7 (gray triangle). Therefore, we end at gray triangle. Final answer: gray triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange star, 1: purple pentagon, 2: yellow hexagon, 3: brown star, 4: brown pentagon, 5: gray square, 6: brown diamond, 7: gray triangle. Starting at index 5 (gray square). Move 3 steps counter-clockwise to index 2 (yellow hexagon). Move 1 step counter-clockwise to index 1 (purple pentagon). Move 1 step counter-clockwise to index 0 (orange star). Move 3 steps counter-clockwise to index 5 (gray square). Move 4 steps counter-clockwise to index 1 (purple pentagon). Move 3 steps counter-clockwise to index 6 (brown diamond). Move 2 steps counter-clockwise to index 4 (brown pentagon). Move 3 steps clockwise to index 7 (gray triangle). Therefore, we end at gray triangle. Final answer: gray triangle
gray triangle
["orange star", "purple pentagon", "yellow hexagon", "brown star", "brown pentagon", "gray square", "brown diamond", "gray triangle"]
[-3, -1, -1, -3, -4, -3, -2, 3]
5
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a teal hexagon, (1) a brown star, (2) a green pentagon, (3) a blue triangle, (4) a green circle, (5) a teal triangle, (6) a red diamond, and (7) a green hexagon. Starting at position 0 (the teal hexagon), move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a brown star, a red diamond, a blue triangle, a green pentagon, a teal hexagon, a teal triangle, a green hexagon, and a green circle. You start at the teal hexagon, then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal hexagon, 1: brown star, 2: green pentagon, 3: blue triangle, 4: green circle, 5: teal triangle, 6: red diamond, 7: green hexagon. Starting at index 0 (teal hexagon). Move 2 steps counter-clockwise to index 6 (red diamond). Move 3 steps clockwise to index 1 (brown star). Move 2 steps counter-clockwise to index 7 (green hexagon). Move 1 step clockwise to index 0 (teal hexagon). Move 1 step counter-clockwise to index 7 (green hexagon). Move 2 steps counter-clockwise to index 5 (teal triangle). Move 4 steps counter-clockwise to index 1 (brown star). Move 4 steps counter-clockwise to index 5 (teal triangle). Therefore, we end at teal triangle. Final answer: teal triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: teal hexagon, 1: brown star, 2: green pentagon, 3: blue triangle, 4: green circle, 5: teal triangle, 6: red diamond, 7: green hexagon. Starting at index 0 (teal hexagon). Move 2 steps counter-clockwise to index 6 (red diamond). Move 3 steps clockwise to index 1 (brown star). Move 2 steps counter-clockwise to index 7 (green hexagon). Move 1 step clockwise to index 0 (teal hexagon). Move 1 step counter-clockwise to index 7 (green hexagon). Move 2 steps counter-clockwise to index 5 (teal triangle). Move 4 steps counter-clockwise to index 1 (brown star). Move 4 steps counter-clockwise to index 5 (teal triangle). Therefore, we end at teal triangle. Final answer: teal triangle
teal triangle
["teal hexagon", "brown star", "green pentagon", "blue triangle", "green circle", "teal triangle", "red diamond", "green hexagon"]
[-2, 3, -2, 1, -1, -2, -4, -4]
0
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a gray star, (1) a pink square, (2) a gray circle, (3) a brown square, (4) a yellow star, (5) a green hexagon, (6) a green square, and (7) a blue diamond. Starting at position 6 (the green square), move 1 step in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a pink square, a yellow star, a gray star, a green square, a gray circle, a blue diamond, a green hexagon, and a brown square. You start at the green square, then move 1 step in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray star, 1: pink square, 2: gray circle, 3: brown square, 4: yellow star, 5: green hexagon, 6: green square, 7: blue diamond. Starting at index 6 (green square). Move 1 step counter-clockwise to index 5 (green hexagon). Move 4 steps clockwise to index 1 (pink square). Move 4 steps counter-clockwise to index 5 (green hexagon). Move 4 steps counter-clockwise to index 1 (pink square). Move 3 steps counter-clockwise to index 6 (green square). Move 4 steps counter-clockwise to index 2 (gray circle). Move 2 steps clockwise to index 4 (yellow star). Move 3 steps clockwise to index 7 (blue diamond). Therefore, we end at blue diamond. Final answer: blue diamond
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray star, 1: pink square, 2: gray circle, 3: brown square, 4: yellow star, 5: green hexagon, 6: green square, 7: blue diamond. Starting at index 6 (green square). Move 1 step counter-clockwise to index 5 (green hexagon). Move 4 steps clockwise to index 1 (pink square). Move 4 steps counter-clockwise to index 5 (green hexagon). Move 4 steps counter-clockwise to index 1 (pink square). Move 3 steps counter-clockwise to index 6 (green square). Move 4 steps counter-clockwise to index 2 (gray circle). Move 2 steps clockwise to index 4 (yellow star). Move 3 steps clockwise to index 7 (blue diamond). Therefore, we end at blue diamond. Final answer: blue diamond
blue diamond
["gray star", "pink square", "gray circle", "brown square", "yellow star", "green hexagon", "green square", "blue diamond"]
[-1, 4, -4, -4, -3, -4, 2, 3]
6
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green triangle, (1) a blue square, (2) a yellow pentagon, (3) a blue diamond, (4) a pink hexagon, (5) a gray square, (6) a blue circle, and (7) a teal square. Starting at position 6 (the blue circle), move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a gray square, a blue diamond, a yellow pentagon, a blue circle, a pink hexagon, a green triangle, a teal square, and a blue square. You start at the blue circle, then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green triangle, 1: blue square, 2: yellow pentagon, 3: blue diamond, 4: pink hexagon, 5: gray square, 6: blue circle, 7: teal square. Starting at index 6 (blue circle). Move 2 steps clockwise to index 0 (green triangle). Move 4 steps counter-clockwise to index 4 (pink hexagon). Move 2 steps clockwise to index 6 (blue circle). Move 1 step counter-clockwise to index 5 (gray square). Move 3 steps counter-clockwise to index 2 (yellow pentagon). Move 1 step counter-clockwise to index 1 (blue square). Move 2 steps clockwise to index 3 (blue diamond). Move 4 steps counter-clockwise to index 7 (teal square). Therefore, we end at teal square. Final answer: teal square
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green triangle, 1: blue square, 2: yellow pentagon, 3: blue diamond, 4: pink hexagon, 5: gray square, 6: blue circle, 7: teal square. Starting at index 6 (blue circle). Move 2 steps clockwise to index 0 (green triangle). Move 4 steps counter-clockwise to index 4 (pink hexagon). Move 2 steps clockwise to index 6 (blue circle). Move 1 step counter-clockwise to index 5 (gray square). Move 3 steps counter-clockwise to index 2 (yellow pentagon). Move 1 step counter-clockwise to index 1 (blue square). Move 2 steps clockwise to index 3 (blue diamond). Move 4 steps counter-clockwise to index 7 (teal square). Therefore, we end at teal square. Final answer: teal square
teal square
["green triangle", "blue square", "yellow pentagon", "blue diamond", "pink hexagon", "gray square", "blue circle", "teal square"]
[2, -4, 2, -1, -3, -1, 2, -4]
6
7
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a red square, (1) a teal circle, (2) a green square, (3) an orange triangle, (4) a red pentagon, (5) a red star, (6) a green hexagon, and (7) a yellow pentagon. Starting at position 2 (the green square), move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red square, a red star, a green hexagon, a yellow pentagon, a green square, an orange triangle, a red pentagon, and a teal circle. You start at the green square, then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red square, 1: teal circle, 2: green square, 3: orange triangle, 4: red pentagon, 5: red star, 6: green hexagon, 7: yellow pentagon. Starting at index 2 (green square). Move 4 steps counter-clockwise to index 6 (green hexagon). Move 1 step counter-clockwise to index 5 (red star). Move 2 steps clockwise to index 7 (yellow pentagon). Move 3 steps counter-clockwise to index 4 (red pentagon). Move 1 step clockwise to index 5 (red star). Move 2 steps clockwise to index 7 (yellow pentagon). Move 4 steps counter-clockwise to index 3 (orange triangle). Move 2 steps clockwise to index 5 (red star). Therefore, we end at red star. Final answer: red star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red square, 1: teal circle, 2: green square, 3: orange triangle, 4: red pentagon, 5: red star, 6: green hexagon, 7: yellow pentagon. Starting at index 2 (green square). Move 4 steps counter-clockwise to index 6 (green hexagon). Move 1 step counter-clockwise to index 5 (red star). Move 2 steps clockwise to index 7 (yellow pentagon). Move 3 steps counter-clockwise to index 4 (red pentagon). Move 1 step clockwise to index 5 (red star). Move 2 steps clockwise to index 7 (yellow pentagon). Move 4 steps counter-clockwise to index 3 (orange triangle). Move 2 steps clockwise to index 5 (red star). Therefore, we end at red star. Final answer: red star
red star
["red square", "teal circle", "green square", "orange triangle", "red pentagon", "red star", "green hexagon", "yellow pentagon"]
[-4, -1, 2, -3, 1, 2, -4, 2]
2
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green triangle, (1) a purple pentagon, (2) a gray circle, (3) a purple triangle, (4) a brown pentagon, (5) an orange pentagon, (6) a gray square, and (7) a blue hexagon. Starting at position 4 (the brown pentagon), move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green triangle, a gray circle, a purple triangle, a blue hexagon, a gray square, a brown pentagon, a purple pentagon, and an orange pentagon. You start at the brown pentagon, then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green triangle, 1: purple pentagon, 2: gray circle, 3: purple triangle, 4: brown pentagon, 5: orange pentagon, 6: gray square, 7: blue hexagon. Starting at index 4 (brown pentagon). Move 1 step counter-clockwise to index 3 (purple triangle). Move 3 steps counter-clockwise to index 0 (green triangle). Move 3 steps clockwise to index 3 (purple triangle). Move 3 steps counter-clockwise to index 0 (green triangle). Move 1 step counter-clockwise to index 7 (blue hexagon). Move 4 steps clockwise to index 3 (purple triangle). Move 2 steps clockwise to index 5 (orange pentagon). Move 4 steps clockwise to index 1 (purple pentagon). Therefore, we end at purple pentagon. Final answer: purple pentagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green triangle, 1: purple pentagon, 2: gray circle, 3: purple triangle, 4: brown pentagon, 5: orange pentagon, 6: gray square, 7: blue hexagon. Starting at index 4 (brown pentagon). Move 1 step counter-clockwise to index 3 (purple triangle). Move 3 steps counter-clockwise to index 0 (green triangle). Move 3 steps clockwise to index 3 (purple triangle). Move 3 steps counter-clockwise to index 0 (green triangle). Move 1 step counter-clockwise to index 7 (blue hexagon). Move 4 steps clockwise to index 3 (purple triangle). Move 2 steps clockwise to index 5 (orange pentagon). Move 4 steps clockwise to index 1 (purple pentagon). Therefore, we end at purple pentagon. Final answer: purple pentagon
purple pentagon
["green triangle", "purple pentagon", "gray circle", "purple triangle", "brown pentagon", "orange pentagon", "gray square", "blue hexagon"]
[-1, -3, 3, -3, -1, 4, 2, 4]
4
1
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a yellow circle, (1) a purple triangle, (2) a brown square, (3) a yellow hexagon, (4) a purple hexagon, (5) a gray hexagon, (6) a blue diamond, and (7) a green hexagon. Starting at position 0 (the yellow circle), move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a yellow circle, a purple triangle, a blue diamond, a gray hexagon, a brown square, a yellow hexagon, a purple hexagon, and a green hexagon. You start at the yellow circle, then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: yellow circle, 1: purple triangle, 2: brown square, 3: yellow hexagon, 4: purple hexagon, 5: gray hexagon, 6: blue diamond, 7: green hexagon. Starting at index 0 (yellow circle). Move 3 steps clockwise to index 3 (yellow hexagon). Move 3 steps clockwise to index 6 (blue diamond). Move 2 steps counter-clockwise to index 4 (purple hexagon). Move 4 steps counter-clockwise to index 0 (yellow circle). Move 4 steps clockwise to index 4 (purple hexagon). Move 2 steps clockwise to index 6 (blue diamond). Move 3 steps clockwise to index 1 (purple triangle). Move 4 steps clockwise to index 5 (gray hexagon). Therefore, we end at gray hexagon. Final answer: gray hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: yellow circle, 1: purple triangle, 2: brown square, 3: yellow hexagon, 4: purple hexagon, 5: gray hexagon, 6: blue diamond, 7: green hexagon. Starting at index 0 (yellow circle). Move 3 steps clockwise to index 3 (yellow hexagon). Move 3 steps clockwise to index 6 (blue diamond). Move 2 steps counter-clockwise to index 4 (purple hexagon). Move 4 steps counter-clockwise to index 0 (yellow circle). Move 4 steps clockwise to index 4 (purple hexagon). Move 2 steps clockwise to index 6 (blue diamond). Move 3 steps clockwise to index 1 (purple triangle). Move 4 steps clockwise to index 5 (gray hexagon). Therefore, we end at gray hexagon. Final answer: gray hexagon
gray hexagon
["yellow circle", "purple triangle", "brown square", "yellow hexagon", "purple hexagon", "gray hexagon", "blue diamond", "green hexagon"]
[3, 3, -2, -4, 4, 2, 3, 4]
0
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a gray pentagon, (1) a green triangle, (2) a pink square, (3) an orange hexagon, (4) a gray star, (5) an orange pentagon, (6) a yellow star, and (7) a blue triangle. Starting at position 6 (the yellow star), move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a yellow star, an orange hexagon, an orange pentagon, a green triangle, a gray star, a blue triangle, a pink square, and a gray pentagon. You start at the yellow star, then move 2 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray pentagon, 1: green triangle, 2: pink square, 3: orange hexagon, 4: gray star, 5: orange pentagon, 6: yellow star, 7: blue triangle. Starting at index 6 (yellow star). Move 2 steps clockwise to index 0 (gray pentagon). Move 4 steps counter-clockwise to index 4 (gray star). Move 3 steps clockwise to index 7 (blue triangle). Move 1 step counter-clockwise to index 6 (yellow star). Move 3 steps clockwise to index 1 (green triangle). Move 2 steps clockwise to index 3 (orange hexagon). Move 1 step counter-clockwise to index 2 (pink square). Move 2 steps clockwise to index 4 (gray star). Therefore, we end at gray star. Final answer: gray star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: gray pentagon, 1: green triangle, 2: pink square, 3: orange hexagon, 4: gray star, 5: orange pentagon, 6: yellow star, 7: blue triangle. Starting at index 6 (yellow star). Move 2 steps clockwise to index 0 (gray pentagon). Move 4 steps counter-clockwise to index 4 (gray star). Move 3 steps clockwise to index 7 (blue triangle). Move 1 step counter-clockwise to index 6 (yellow star). Move 3 steps clockwise to index 1 (green triangle). Move 2 steps clockwise to index 3 (orange hexagon). Move 1 step counter-clockwise to index 2 (pink square). Move 2 steps clockwise to index 4 (gray star). Therefore, we end at gray star. Final answer: gray star
gray star
["gray pentagon", "green triangle", "pink square", "orange hexagon", "gray star", "orange pentagon", "yellow star", "blue triangle"]
[2, -4, 3, -1, 3, 2, -1, 2]
6
4
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a brown square, (1) a yellow star, (2) a teal circle, (3) a red star, (4) a pink square, (5) a teal pentagon, (6) a green diamond, and (7) a gray square. Starting at position 3 (the red star), move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a teal pentagon, a yellow star, a teal circle, a red star, a green diamond, a brown square, a gray square, and a pink square. You start at the red star, then move 4 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown square, 1: yellow star, 2: teal circle, 3: red star, 4: pink square, 5: teal pentagon, 6: green diamond, 7: gray square. Starting at index 3 (red star). Move 4 steps counter-clockwise to index 7 (gray square). Move 2 steps clockwise to index 1 (yellow star). Move 2 steps counter-clockwise to index 7 (gray square). Move 1 step clockwise to index 0 (brown square). Move 1 step counter-clockwise to index 7 (gray square). Move 1 step counter-clockwise to index 6 (green diamond). Move 1 step clockwise to index 7 (gray square). Move 3 steps clockwise to index 2 (teal circle). Therefore, we end at teal circle. Final answer: teal circle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown square, 1: yellow star, 2: teal circle, 3: red star, 4: pink square, 5: teal pentagon, 6: green diamond, 7: gray square. Starting at index 3 (red star). Move 4 steps counter-clockwise to index 7 (gray square). Move 2 steps clockwise to index 1 (yellow star). Move 2 steps counter-clockwise to index 7 (gray square). Move 1 step clockwise to index 0 (brown square). Move 1 step counter-clockwise to index 7 (gray square). Move 1 step counter-clockwise to index 6 (green diamond). Move 1 step clockwise to index 7 (gray square). Move 3 steps clockwise to index 2 (teal circle). Therefore, we end at teal circle. Final answer: teal circle
teal circle
["brown square", "yellow star", "teal circle", "red star", "pink square", "teal pentagon", "green diamond", "gray square"]
[-4, 2, -2, 1, -1, -1, 1, 3]
3
2
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a pink triangle, (1) a yellow diamond, (2) a yellow circle, (3) a pink star, (4) a gray pentagon, (5) a yellow triangle, (6) a green hexagon, and (7) a purple hexagon. Starting at position 6 (the green hexagon), move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green hexagon, a yellow triangle, a pink triangle, a purple hexagon, a yellow diamond, a gray pentagon, a yellow circle, and a pink star. You start at the green hexagon, then move 3 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink triangle, 1: yellow diamond, 2: yellow circle, 3: pink star, 4: gray pentagon, 5: yellow triangle, 6: green hexagon, 7: purple hexagon. Starting at index 6 (green hexagon). Move 3 steps counter-clockwise to index 3 (pink star). Move 1 step counter-clockwise to index 2 (yellow circle). Move 2 steps counter-clockwise to index 0 (pink triangle). Move 2 steps counter-clockwise to index 6 (green hexagon). Move 3 steps clockwise to index 1 (yellow diamond). Move 3 steps clockwise to index 4 (gray pentagon). Move 2 steps clockwise to index 6 (green hexagon). Move 3 steps counter-clockwise to index 3 (pink star). Therefore, we end at pink star. Final answer: pink star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: pink triangle, 1: yellow diamond, 2: yellow circle, 3: pink star, 4: gray pentagon, 5: yellow triangle, 6: green hexagon, 7: purple hexagon. Starting at index 6 (green hexagon). Move 3 steps counter-clockwise to index 3 (pink star). Move 1 step counter-clockwise to index 2 (yellow circle). Move 2 steps counter-clockwise to index 0 (pink triangle). Move 2 steps counter-clockwise to index 6 (green hexagon). Move 3 steps clockwise to index 1 (yellow diamond). Move 3 steps clockwise to index 4 (gray pentagon). Move 2 steps clockwise to index 6 (green hexagon). Move 3 steps counter-clockwise to index 3 (pink star). Therefore, we end at pink star. Final answer: pink star
pink star
["pink triangle", "yellow diamond", "yellow circle", "pink star", "gray pentagon", "yellow triangle", "green hexagon", "purple hexagon"]
[-3, -1, -2, -2, 3, 3, 2, -3]
6
3
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green triangle, (1) a pink pentagon, (2) a yellow triangle, (3) a blue pentagon, (4) a purple star, (5) a purple diamond, (6) a teal circle, and (7) a yellow star. Starting at position 3 (the blue pentagon), move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a blue pentagon, a yellow star, a yellow triangle, a purple diamond, a pink pentagon, a purple star, a teal circle, and a green triangle. You start at the blue pentagon, then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green triangle, 1: pink pentagon, 2: yellow triangle, 3: blue pentagon, 4: purple star, 5: purple diamond, 6: teal circle, 7: yellow star. Starting at index 3 (blue pentagon). Move 2 steps clockwise to index 5 (purple diamond). Move 2 steps counter-clockwise to index 3 (blue pentagon). Move 4 steps counter-clockwise to index 7 (yellow star). Move 4 steps clockwise to index 3 (blue pentagon). Move 4 steps clockwise to index 7 (yellow star). Move 2 steps counter-clockwise to index 5 (purple diamond). Move 1 step counter-clockwise to index 4 (purple star). Move 4 steps counter-clockwise to index 0 (green triangle). Therefore, we end at green triangle. Final answer: green triangle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green triangle, 1: pink pentagon, 2: yellow triangle, 3: blue pentagon, 4: purple star, 5: purple diamond, 6: teal circle, 7: yellow star. Starting at index 3 (blue pentagon). Move 2 steps clockwise to index 5 (purple diamond). Move 2 steps counter-clockwise to index 3 (blue pentagon). Move 4 steps counter-clockwise to index 7 (yellow star). Move 4 steps clockwise to index 3 (blue pentagon). Move 4 steps clockwise to index 7 (yellow star). Move 2 steps counter-clockwise to index 5 (purple diamond). Move 1 step counter-clockwise to index 4 (purple star). Move 4 steps counter-clockwise to index 0 (green triangle). Therefore, we end at green triangle. Final answer: green triangle
green triangle
["green triangle", "pink pentagon", "yellow triangle", "blue pentagon", "purple star", "purple diamond", "teal circle", "yellow star"]
[2, -2, -4, 4, 4, -2, -1, -4]
3
0
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a purple star, (1) a teal circle, (2) a pink star, (3) a red square, (4) a yellow diamond, (5) a brown diamond, (6) an orange star, and (7) a purple square. Starting at position 5 (the brown diamond), move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red square, a brown diamond, a purple square, a yellow diamond, a purple star, a teal circle, an orange star, and a pink star. You start at the brown diamond, then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple star, 1: teal circle, 2: pink star, 3: red square, 4: yellow diamond, 5: brown diamond, 6: orange star, 7: purple square. Starting at index 5 (brown diamond). Move 2 steps counter-clockwise to index 3 (red square). Move 4 steps clockwise to index 7 (purple square). Move 2 steps clockwise to index 1 (teal circle). Move 2 steps counter-clockwise to index 7 (purple square). Move 3 steps counter-clockwise to index 4 (yellow diamond). Move 2 steps clockwise to index 6 (orange star). Move 3 steps clockwise to index 1 (teal circle). Move 3 steps counter-clockwise to index 6 (orange star). Therefore, we end at orange star. Final answer: orange star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: purple star, 1: teal circle, 2: pink star, 3: red square, 4: yellow diamond, 5: brown diamond, 6: orange star, 7: purple square. Starting at index 5 (brown diamond). Move 2 steps counter-clockwise to index 3 (red square). Move 4 steps clockwise to index 7 (purple square). Move 2 steps clockwise to index 1 (teal circle). Move 2 steps counter-clockwise to index 7 (purple square). Move 3 steps counter-clockwise to index 4 (yellow diamond). Move 2 steps clockwise to index 6 (orange star). Move 3 steps clockwise to index 1 (teal circle). Move 3 steps counter-clockwise to index 6 (orange star). Therefore, we end at orange star. Final answer: orange star
orange star
["purple star", "teal circle", "pink star", "red square", "yellow diamond", "brown diamond", "orange star", "purple square"]
[-2, 4, 2, -2, -3, 2, 3, -3]
5
6
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a red hexagon, (1) a teal hexagon, (2) an orange hexagon, (3) a purple pentagon, (4) a purple diamond, (5) a blue hexagon, (6) a teal triangle, and (7) a pink circle. Starting at position 4 (the purple diamond), move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a blue hexagon, a purple diamond, a red hexagon, a purple pentagon, a teal hexagon, a teal triangle, an orange hexagon, and a pink circle. You start at the purple diamond, then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red hexagon, 1: teal hexagon, 2: orange hexagon, 3: purple pentagon, 4: purple diamond, 5: blue hexagon, 6: teal triangle, 7: pink circle. Starting at index 4 (purple diamond). Move 1 step clockwise to index 5 (blue hexagon). Move 4 steps clockwise to index 1 (teal hexagon). Move 3 steps clockwise to index 4 (purple diamond). Move 4 steps counter-clockwise to index 0 (red hexagon). Move 1 step counter-clockwise to index 7 (pink circle). Move 3 steps counter-clockwise to index 4 (purple diamond). Move 4 steps counter-clockwise to index 0 (red hexagon). Move 3 steps counter-clockwise to index 5 (blue hexagon). Therefore, we end at blue hexagon. Final answer: blue hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red hexagon, 1: teal hexagon, 2: orange hexagon, 3: purple pentagon, 4: purple diamond, 5: blue hexagon, 6: teal triangle, 7: pink circle. Starting at index 4 (purple diamond). Move 1 step clockwise to index 5 (blue hexagon). Move 4 steps clockwise to index 1 (teal hexagon). Move 3 steps clockwise to index 4 (purple diamond). Move 4 steps counter-clockwise to index 0 (red hexagon). Move 1 step counter-clockwise to index 7 (pink circle). Move 3 steps counter-clockwise to index 4 (purple diamond). Move 4 steps counter-clockwise to index 0 (red hexagon). Move 3 steps counter-clockwise to index 5 (blue hexagon). Therefore, we end at blue hexagon. Final answer: blue hexagon
blue hexagon
["red hexagon", "teal hexagon", "orange hexagon", "purple pentagon", "purple diamond", "blue hexagon", "teal triangle", "pink circle"]
[1, 4, 3, -4, -1, -3, -4, -3]
4
5
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) an orange diamond, (1) a purple triangle, (2) a pink pentagon, (3) a gray circle, (4) a pink hexagon, (5) a yellow star, (6) a green diamond, and (7) a gray star. Starting at position 6 (the green diamond), move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: an orange diamond, a gray circle, a gray star, a pink pentagon, a yellow star, a pink hexagon, a purple triangle, and a green diamond. You start at the green diamond, then move 1 step in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange diamond, 1: purple triangle, 2: pink pentagon, 3: gray circle, 4: pink hexagon, 5: yellow star, 6: green diamond, 7: gray star. Starting at index 6 (green diamond). Move 1 step clockwise to index 7 (gray star). Move 4 steps clockwise to index 3 (gray circle). Move 3 steps clockwise to index 6 (green diamond). Move 3 steps counter-clockwise to index 3 (gray circle). Move 3 steps counter-clockwise to index 0 (orange diamond). Move 4 steps clockwise to index 4 (pink hexagon). Move 2 steps clockwise to index 6 (green diamond). Move 2 steps counter-clockwise to index 4 (pink hexagon). Therefore, we end at pink hexagon. Final answer: pink hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: orange diamond, 1: purple triangle, 2: pink pentagon, 3: gray circle, 4: pink hexagon, 5: yellow star, 6: green diamond, 7: gray star. Starting at index 6 (green diamond). Move 1 step clockwise to index 7 (gray star). Move 4 steps clockwise to index 3 (gray circle). Move 3 steps clockwise to index 6 (green diamond). Move 3 steps counter-clockwise to index 3 (gray circle). Move 3 steps counter-clockwise to index 0 (orange diamond). Move 4 steps clockwise to index 4 (pink hexagon). Move 2 steps clockwise to index 6 (green diamond). Move 2 steps counter-clockwise to index 4 (pink hexagon). Therefore, we end at pink hexagon. Final answer: pink hexagon
pink hexagon
["orange diamond", "purple triangle", "pink pentagon", "gray circle", "pink hexagon", "yellow star", "green diamond", "gray star"]
[1, 4, 3, -3, -3, 4, 2, -2]
6
4
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a green hexagon, (1) a yellow circle, (2) a teal square, (3) a green pentagon, (4) an orange diamond, (5) a red hexagon, (6) a pink star, and (7) a red diamond. Starting at position 4 (the orange diamond), move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a green hexagon, a red hexagon, a red diamond, a pink star, a yellow circle, a teal square, a green pentagon, and an orange diamond. You start at the orange diamond, then move 2 steps in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green hexagon, 1: yellow circle, 2: teal square, 3: green pentagon, 4: orange diamond, 5: red hexagon, 6: pink star, 7: red diamond. Starting at index 4 (orange diamond). Move 2 steps counter-clockwise to index 2 (teal square). Move 2 steps counter-clockwise to index 0 (green hexagon). Move 4 steps clockwise to index 4 (orange diamond). Move 1 step counter-clockwise to index 3 (green pentagon). Move 1 step clockwise to index 4 (orange diamond). Move 3 steps counter-clockwise to index 1 (yellow circle). Move 2 steps clockwise to index 3 (green pentagon). Move 3 steps clockwise to index 6 (pink star). Therefore, we end at pink star. Final answer: pink star
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: green hexagon, 1: yellow circle, 2: teal square, 3: green pentagon, 4: orange diamond, 5: red hexagon, 6: pink star, 7: red diamond. Starting at index 4 (orange diamond). Move 2 steps counter-clockwise to index 2 (teal square). Move 2 steps counter-clockwise to index 0 (green hexagon). Move 4 steps clockwise to index 4 (orange diamond). Move 1 step counter-clockwise to index 3 (green pentagon). Move 1 step clockwise to index 4 (orange diamond). Move 3 steps counter-clockwise to index 1 (yellow circle). Move 2 steps clockwise to index 3 (green pentagon). Move 3 steps clockwise to index 6 (pink star). Therefore, we end at pink star. Final answer: pink star
pink star
["green hexagon", "yellow circle", "teal square", "green pentagon", "orange diamond", "red hexagon", "pink star", "red diamond"]
[-2, -2, 4, -1, 1, -3, 2, 3]
4
6
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a brown star, (1) a purple hexagon, (2) a gray square, (3) a green diamond, (4) a red triangle, (5) a brown square, (6) a gray diamond, and (7) a yellow star. Starting at position 3 (the green diamond), move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a red triangle, a purple hexagon, a gray diamond, a brown square, a gray square, a yellow star, a brown star, and a green diamond. You start at the green diamond, then move 2 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 3 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown star, 1: purple hexagon, 2: gray square, 3: green diamond, 4: red triangle, 5: brown square, 6: gray diamond, 7: yellow star. Starting at index 3 (green diamond). Move 2 steps counter-clockwise to index 1 (purple hexagon). Move 4 steps clockwise to index 5 (brown square). Move 1 step counter-clockwise to index 4 (red triangle). Move 2 steps counter-clockwise to index 2 (gray square). Move 2 steps clockwise to index 4 (red triangle). Move 2 steps counter-clockwise to index 2 (gray square). Move 4 steps counter-clockwise to index 6 (gray diamond). Move 3 steps clockwise to index 1 (purple hexagon). Therefore, we end at purple hexagon. Final answer: purple hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: brown star, 1: purple hexagon, 2: gray square, 3: green diamond, 4: red triangle, 5: brown square, 6: gray diamond, 7: yellow star. Starting at index 3 (green diamond). Move 2 steps counter-clockwise to index 1 (purple hexagon). Move 4 steps clockwise to index 5 (brown square). Move 1 step counter-clockwise to index 4 (red triangle). Move 2 steps counter-clockwise to index 2 (gray square). Move 2 steps clockwise to index 4 (red triangle). Move 2 steps counter-clockwise to index 2 (gray square). Move 4 steps counter-clockwise to index 6 (gray diamond). Move 3 steps clockwise to index 1 (purple hexagon). Therefore, we end at purple hexagon. Final answer: purple hexagon
purple hexagon
["brown star", "purple hexagon", "gray square", "green diamond", "red triangle", "brown square", "gray diamond", "yellow star"]
[-2, 4, -1, -2, 2, -2, -4, 3]
3
1
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a blue circle, (1) a teal star, (2) a blue hexagon, (3) a purple pentagon, (4) a yellow pentagon, (5) a red hexagon, (6) a purple circle, and (7) a pink triangle. Starting at position 6 (the purple circle), move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: a blue circle, a purple circle, a yellow pentagon, a red hexagon, a purple pentagon, a pink triangle, a blue hexagon, and a teal star. You start at the purple circle, then move 1 step in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 2 steps in a counter-clockwise direction, and then move 1 step in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 3 steps in a clockwise direction, and then move 2 steps in a clockwise direction, and then move 4 steps in a clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue circle, 1: teal star, 2: blue hexagon, 3: purple pentagon, 4: yellow pentagon, 5: red hexagon, 6: purple circle, 7: pink triangle. Starting at index 6 (purple circle). Move 1 step counter-clockwise to index 5 (red hexagon). Move 2 steps clockwise to index 7 (pink triangle). Move 2 steps counter-clockwise to index 5 (red hexagon). Move 1 step clockwise to index 6 (purple circle). Move 3 steps clockwise to index 1 (teal star). Move 3 steps clockwise to index 4 (yellow pentagon). Move 2 steps clockwise to index 6 (purple circle). Move 4 steps clockwise to index 2 (blue hexagon). Therefore, we end at blue hexagon. Final answer: blue hexagon
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: blue circle, 1: teal star, 2: blue hexagon, 3: purple pentagon, 4: yellow pentagon, 5: red hexagon, 6: purple circle, 7: pink triangle. Starting at index 6 (purple circle). Move 1 step counter-clockwise to index 5 (red hexagon). Move 2 steps clockwise to index 7 (pink triangle). Move 2 steps counter-clockwise to index 5 (red hexagon). Move 1 step clockwise to index 6 (purple circle). Move 3 steps clockwise to index 1 (teal star). Move 3 steps clockwise to index 4 (yellow pentagon). Move 2 steps clockwise to index 6 (purple circle). Move 4 steps clockwise to index 2 (blue hexagon). Therefore, we end at blue hexagon. Final answer: blue hexagon
blue hexagon
["blue circle", "teal star", "blue hexagon", "purple pentagon", "yellow pentagon", "red hexagon", "purple circle", "pink triangle"]
[-1, 2, -2, 1, 3, 3, 2, 4]
6
2
You are on a ring of 8 positions. The ring contents, listed clockwise from the top (index 0), are: (0) a red triangle, (1) a teal circle, (2) a red circle, (3) a pink pentagon, (4) a red diamond, (5) a yellow star, (6) an orange hexagon, and (7) an orange pentagon. Starting at position 3 (the pink pentagon), move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
Consider a ring with 8 positions containing the following objects in no particular order: an orange pentagon, an orange hexagon, a yellow star, a pink pentagon, a red triangle, a teal circle, a red circle, and a red diamond. You start at the pink pentagon, then move 2 steps in a counter-clockwise direction, and then move 2 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction, and then move 4 steps in a clockwise direction, and then move 4 steps in a clockwise direction, and then move 1 step in a counter-clockwise direction, and then move 4 steps in a counter-clockwise direction. What do you find?
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red triangle, 1: teal circle, 2: red circle, 3: pink pentagon, 4: red diamond, 5: yellow star, 6: orange hexagon, 7: orange pentagon. Starting at index 3 (pink pentagon). Move 2 steps counter-clockwise to index 1 (teal circle). Move 2 steps clockwise to index 3 (pink pentagon). Move 1 step counter-clockwise to index 2 (red circle). Move 4 steps counter-clockwise to index 6 (orange hexagon). Move 4 steps clockwise to index 2 (red circle). Move 4 steps clockwise to index 6 (orange hexagon). Move 1 step counter-clockwise to index 5 (yellow star). Move 4 steps counter-clockwise to index 1 (teal circle). Therefore, we end at teal circle. Final answer: teal circle
We have a ring of 8 positions indexed 0..7 clockwise. Contents by index (clockwise from top): 0: red triangle, 1: teal circle, 2: red circle, 3: pink pentagon, 4: red diamond, 5: yellow star, 6: orange hexagon, 7: orange pentagon. Starting at index 3 (pink pentagon). Move 2 steps counter-clockwise to index 1 (teal circle). Move 2 steps clockwise to index 3 (pink pentagon). Move 1 step counter-clockwise to index 2 (red circle). Move 4 steps counter-clockwise to index 6 (orange hexagon). Move 4 steps clockwise to index 2 (red circle). Move 4 steps clockwise to index 6 (orange hexagon). Move 1 step counter-clockwise to index 5 (yellow star). Move 4 steps counter-clockwise to index 1 (teal circle). Therefore, we end at teal circle. Final answer: teal circle
teal circle
["red triangle", "teal circle", "red circle", "pink pentagon", "red diamond", "yellow star", "orange hexagon", "orange pentagon"]
[-2, 2, -1, -4, 4, 4, -1, -4]
3
1
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