tianleliphoebe/geometric_spatial_compose_reasoning

image imagewidth (px) 300 1k	problem stringclasses 633 values	solution stringlengths 214 257
	There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue rectangle at (5, 6) - blue rectangle at (5, 6): area = 5 - purple square at (4, 3): distance = \|5 - 4\| + \|6 - 3\| = 4, area = 64 Sum of areas (target + nearest) = 69 → Rounded = 69</think> <answer>69</answer>
	There are 3 shapes on a 10x10 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (9, 0) - red square at (9, 0): area = 81 - blue square at (8, 7): distance = \|9 - 8\| + \|0 - 7\| = 8, area = 25 Sum of areas (target + nearest) = 106 → Rounded = 106</think> <answer>106</answer>
	There are 2 shapes on a 3x3 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red rectangle at (0, 1) - red rectangle at (0, 1): area = 4 - blue rectangle at (0, 0): distance = \|0 - 0\| + \|1 - 0\| = 1, area = 7 Sum of areas (target + nearest) = 11 → Rounded = 11</think> <answer>11</answer>
	There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (4, 3) - red trapezoid at (4, 3): area = 10.0 - blue trapezoid at (1, 4): distance = \|4 - 1\| + \|3 - 4\| = 4, area = 21.0 Sum of areas (target + nearest) = 31.0 → Rounded = 31</think> <answer>31</answer>
	There are 5 shapes on a 4x4 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green rectangle at (0, 0) - green rectangle at (0, 0): area = 2 - red rectangle at (1, 1): distance = \|0 - 1\| + \|0 - 1\| = 2, area = 10 Sum of areas (target + nearest) = 12 → Rounded = 12</think> <answer>12</answer>
	There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue trapezoid at (1, 7) - blue trapezoid at (1, 7): area = 5.0 - red trapezoid at (5, 5): distance = \|1 - 5\| + \|7 - 5\| = 6, area = 35.0 Sum of areas (target + nearest) = 40.0 → Rounded = 40</think> <answer>40</answer>
	There are 5 shapes on a 5x5 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green square at (4, 1) - green square at (4, 1): area = 36 - blue square at (2, 3): distance = \|4 - 2\| + \|1 - 3\| = 4, area = 16 Sum of areas (target + nearest) = 52 → Rounded = 52</think> <answer>52</answer>
	There are 3 shapes on a 3x3 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green square at (1, 0) - green square at (1, 0): area = 64 - red square at (1, 1): distance = \|1 - 1\| + \|0 - 1\| = 1, area = 16 Sum of areas (target + nearest) = 80 → Rounded = 80</think> <answer>80</answer>
	There are 4 shapes on a 3x3 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow rectangle at (1, 0) - yellow rectangle at (1, 0): area = 8 - red trapezoid at (1, 2): distance = \|1 - 1\| + \|0 - 2\| = 2, area = 27.5 Sum of areas (target + nearest) = 35.5 → Rounded = 36</think> <answer>36</answer>
	There are 4 shapes on a 10x10 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (0, 7) - blue right triangle at (0, 7): area = 12.0 - red right triangle at (1, 6): distance = \|0 - 1\| + \|7 - 6\| = 2, area = 10.5 Sum of areas (target + nearest) = 22.5 → Rounded = 22</think> <answer>22</answer>
	There are 5 shapes on a 4x4 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red rectangle at (1, 1) - red rectangle at (1, 1): area = 20 - blue right triangle at (1, 2): distance = \|1 - 1\| + \|1 - 2\| = 1, area = 10.5 Sum of areas (target + nearest) = 30.5 → Rounded = 30</think> <answer>30</answer>
	There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue square at (2, 0) - blue square at (2, 0): area = 49 - red rectangle at (1, 3): distance = \|2 - 1\| + \|0 - 3\| = 4, area = 36 Sum of areas (target + nearest) = 85 → Rounded = 85</think> <answer>85</answer>
	There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red right triangle at (2, 5) - red right triangle at (2, 5): area = 12.0 - blue square at (3, 5): distance = \|2 - 3\| + \|5 - 5\| = 1, area = 36 Sum of areas (target + nearest) = 48.0 → Rounded = 48</think> <answer>48</answer>
	There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green square at (3, 0) - green square at (3, 0): area = 25 - red rectangle at (4, 0): distance = \|3 - 4\| + \|0 - 0\| = 1, area = 21 Sum of areas (target + nearest) = 46 → Rounded = 46</think> <answer>46</answer>
	There are 3 shapes on a 5x5 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green rectangle at (0, 2) - green rectangle at (0, 2): area = 18 - red right triangle at (1, 2): distance = \|0 - 1\| + \|2 - 2\| = 1, area = 0.5 Sum of areas (target + nearest) = 18.5 → Rounded = 18</think> <answer>18</answer>
	There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (7, 7) - blue right triangle at (7, 7): area = 4.5 - red rectangle at (6, 8): distance = \|7 - 6\| + \|7 - 8\| = 2, area = 63 Sum of areas (target + nearest) = 67.5 → Rounded = 68</think> <answer>68</answer>
	There are 3 shapes on a 3x3 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (2, 1) - red square at (2, 1): area = 4 - blue rectangle at (1, 1): distance = \|2 - 1\| + \|1 - 1\| = 1, area = 28 Sum of areas (target + nearest) = 32 → Rounded = 32</think> <answer>32</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green square at (1, 2) - green square at (1, 2): area = 16 - blue right triangle at (2, 2): distance = \|1 - 2\| + \|2 - 2\| = 1, area = 18.0 Sum of areas (target + nearest) = 34.0 → Rounded = 34</think> <answer>34</answer>
	There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (1, 2) - blue right triangle at (1, 2): area = 12.0 - green rectangle at (3, 4): distance = \|1 - 3\| + \|2 - 4\| = 4, area = 16 Sum of areas (target + nearest) = 28.0 → Rounded = 28</think> <answer>28</answer>
	There are 6 shapes on a 5x5 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow rectangle at (3, 1) - yellow rectangle at (3, 1): area = 54 - purple right triangle at (3, 2): distance = \|3 - 3\| + \|1 - 2\| = 1, area = 21.0 Sum of areas (target + nearest) = 75.0 → Rounded = 75</think> <answer>75</answer>
	There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (1, 0) - red square at (1, 0): area = 49 - yellow right triangle at (0, 0): distance = \|1 - 0\| + \|0 - 0\| = 1, area = 28.0 Sum of areas (target + nearest) = 77.0 → Rounded = 77</think> <answer>77</answer>
	There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue square at (2, 2) - blue square at (2, 2): area = 9 - purple rectangle at (2, 3): distance = \|2 - 2\| + \|2 - 3\| = 1, area = 25 Sum of areas (target + nearest) = 34 → Rounded = 34</think> <answer>34</answer>
	There are 3 shapes on a 4x4 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue square at (3, 2) - blue square at (3, 2): area = 49 - red square at (3, 0): distance = \|3 - 3\| + \|2 - 0\| = 2, area = 16 Sum of areas (target + nearest) = 65 → Rounded = 65</think> <answer>65</answer>
	There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (3, 0) - green trapezoid at (3, 0): area = 24.5 - blue right triangle at (1, 2): distance = \|3 - 1\| + \|0 - 2\| = 4, area = 28.0 Sum of areas (target + nearest) = 52.5 → Rounded = 52</think> <answer>52</answer>
	There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow rectangle at (5, 5) - yellow rectangle at (5, 5): area = 8 - orange trapezoid at (3, 3): distance = \|5 - 3\| + \|5 - 3\| = 4, area = 35.0 Sum of areas (target + nearest) = 43.0 → Rounded = 43</think> <answer>43</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (3, 6) - blue right triangle at (3, 6): area = 4.0 - red trapezoid at (0, 6): distance = \|3 - 0\| + \|6 - 6\| = 3, area = 27.0 Sum of areas (target + nearest) = 31.0 → Rounded = 31</think> <answer>31</answer>
	There are 3 shapes on a 9x9 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue rectangle at (5, 5) - blue rectangle at (5, 5): area = 20 - green square at (2, 5): distance = \|5 - 2\| + \|5 - 5\| = 3, area = 81 Sum of areas (target + nearest) = 101 → Rounded = 101</think> <answer>101</answer>
	There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue trapezoid at (4, 0) - blue trapezoid at (4, 0): area = 42.5 - red rectangle at (5, 6): distance = \|4 - 5\| + \|0 - 6\| = 7, area = 42 Sum of areas (target + nearest) = 84.5 → Rounded = 84</think> <answer>84</answer>
	There are 2 shapes on a 3x3 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue square at (2, 2) - blue square at (2, 2): area = 1 - red square at (1, 0): distance = \|2 - 1\| + \|2 - 0\| = 3, area = 1 Sum of areas (target + nearest) = 2 → Rounded = 2</think> <answer>2</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the purple square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple square at (1, 6) - purple square at (1, 6): area = 25 - blue trapezoid at (1, 2): distance = \|1 - 1\| + \|6 - 2\| = 4, area = 11.0 Sum of areas (target + nearest) = 36.0 → Rounded = 36</think> <answer>36</answer>
	There are 2 shapes on a 9x9 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red right triangle at (5, 2) - red right triangle at (5, 2): area = 28.0 - blue trapezoid at (6, 6): distance = \|5 - 6\| + \|2 - 6\| = 5, area = 4.5 Sum of areas (target + nearest) = 32.5 → Rounded = 32</think> <answer>32</answer>
	There are 3 shapes on a 5x5 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (2, 4) - red trapezoid at (2, 4): area = 42.0 - green trapezoid at (0, 3): distance = \|2 - 0\| + \|4 - 3\| = 3, area = 10.0 Sum of areas (target + nearest) = 52.0 → Rounded = 52</think> <answer>52</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the purple rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple rectangle at (5, 4) - purple rectangle at (5, 4): area = 15 - blue right triangle at (6, 4): distance = \|5 - 6\| + \|4 - 4\| = 1, area = 12.0 Sum of areas (target + nearest) = 27.0 → Rounded = 27</think> <answer>27</answer>
	There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green square at (2, 4) - green square at (2, 4): area = 64 - yellow square at (3, 4): distance = \|2 - 3\| + \|4 - 4\| = 1, area = 25 Sum of areas (target + nearest) = 89 → Rounded = 89</think> <answer>89</answer>
	There are 3 shapes on a 5x5 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (3, 0) - blue right triangle at (3, 0): area = 16.0 - red rectangle at (4, 2): distance = \|3 - 4\| + \|0 - 2\| = 3, area = 48 Sum of areas (target + nearest) = 64.0 → Rounded = 64</think> <answer>64</answer>
	There are 3 shapes on a 8x8 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (1, 0) - blue right triangle at (1, 0): area = 14.0 - green square at (3, 1): distance = \|1 - 3\| + \|0 - 1\| = 3, area = 81 Sum of areas (target + nearest) = 95.0 → Rounded = 95</think> <answer>95</answer>
	There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red right triangle at (3, 4) - red right triangle at (3, 4): area = 14.0 - blue rectangle at (6, 2): distance = \|3 - 6\| + \|4 - 2\| = 5, area = 3 Sum of areas (target + nearest) = 17.0 → Rounded = 17</think> <answer>17</answer>
	There are 6 shapes on a 5x5 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (1, 4) - green trapezoid at (1, 4): area = 3.5 - red right triangle at (0, 3): distance = \|1 - 0\| + \|4 - 3\| = 2, area = 6.0 Sum of areas (target + nearest) = 9.5 → Rounded = 10</think> <answer>10</answer>
	There are 2 shapes on a 6x6 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (2, 3) - red trapezoid at (2, 3): area = 33.0 - blue square at (0, 2): distance = \|2 - 0\| + \|3 - 2\| = 3, area = 25 Sum of areas (target + nearest) = 58.0 → Rounded = 58</think> <answer>58</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue trapezoid at (2, 1) - blue trapezoid at (2, 1): area = 4.0 - red trapezoid at (3, 1): distance = \|2 - 3\| + \|1 - 1\| = 1, area = 42.0 Sum of areas (target + nearest) = 46.0 → Rounded = 46</think> <answer>46</answer>
	There are 3 shapes on a 6x6 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (5, 3) - red trapezoid at (5, 3): area = 37.5 - blue square at (2, 2): distance = \|5 - 2\| + \|3 - 2\| = 4, area = 4 Sum of areas (target + nearest) = 41.5 → Rounded = 42</think> <answer>42</answer>
	There are 4 shapes on a 8x8 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red rectangle at (2, 3) - red rectangle at (2, 3): area = 18 - yellow trapezoid at (3, 2): distance = \|2 - 3\| + \|3 - 2\| = 2, area = 45.0 Sum of areas (target + nearest) = 63.0 → Rounded = 63</think> <answer>63</answer>
	There are 3 shapes on a 10x10 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue square at (4, 9) - blue square at (4, 9): area = 1 - green rectangle at (7, 5): distance = \|4 - 7\| + \|9 - 5\| = 7, area = 56 Sum of areas (target + nearest) = 57 → Rounded = 57</think> <answer>57</answer>
	There are 5 shapes on a 8x8 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (4, 6) - green trapezoid at (4, 6): area = 27.0 - yellow right triangle at (3, 7): distance = \|4 - 3\| + \|6 - 7\| = 2, area = 15.0 Sum of areas (target + nearest) = 42.0 → Rounded = 42</think> <answer>42</answer>
	There are 5 shapes on a 6x6 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow right triangle at (0, 5) - yellow right triangle at (0, 5): area = 21.0 - red rectangle at (2, 5): distance = \|0 - 2\| + \|5 - 5\| = 2, area = 36 Sum of areas (target + nearest) = 57.0 → Rounded = 57</think> <answer>57</answer>
	There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (2, 4) - red trapezoid at (2, 4): area = 12.0 - blue rectangle at (6, 2): distance = \|2 - 6\| + \|4 - 2\| = 6, area = 45 Sum of areas (target + nearest) = 57.0 → Rounded = 57</think> <answer>57</answer>
	There are 4 shapes on a 5x5 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (0, 3) - red square at (0, 3): area = 49 - blue square at (3, 3): distance = \|0 - 3\| + \|3 - 3\| = 3, area = 36 Sum of areas (target + nearest) = 85 → Rounded = 85</think> <answer>85</answer>
	There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the purple square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple square at (3, 1) - purple square at (3, 1): area = 4 - red right triangle at (2, 2): distance = \|3 - 2\| + \|1 - 2\| = 2, area = 15.0 Sum of areas (target + nearest) = 19.0 → Rounded = 19</think> <answer>19</answer>
	There are 5 shapes on a 8x8 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow right triangle at (2, 4) - yellow right triangle at (2, 4): area = 20.0 - blue trapezoid at (2, 5): distance = \|2 - 2\| + \|4 - 5\| = 1, area = 4.5 Sum of areas (target + nearest) = 24.5 → Rounded = 24</think> <answer>24</answer>
	There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow trapezoid at (1, 3) - yellow trapezoid at (1, 3): area = 9.0 - red trapezoid at (2, 3): distance = \|1 - 2\| + \|3 - 3\| = 1, area = 26.0 Sum of areas (target + nearest) = 35.0 → Rounded = 35</think> <answer>35</answer>
	There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue trapezoid at (4, 7) - blue trapezoid at (4, 7): area = 12.0 - red square at (6, 1): distance = \|4 - 6\| + \|7 - 1\| = 8, area = 25 Sum of areas (target + nearest) = 37.0 → Rounded = 37</think> <answer>37</answer>
	There are 5 shapes on a 4x4 grid. Find the shape that is nearest to the green right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green right triangle at (2, 1) - green right triangle at (2, 1): area = 13.5 - yellow square at (2, 0): distance = \|2 - 2\| + \|1 - 0\| = 1, area = 9 Sum of areas (target + nearest) = 22.5 → Rounded = 22</think> <answer>22</answer>
	There are 4 shapes on a 10x10 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow trapezoid at (2, 0) - yellow trapezoid at (2, 0): area = 17.0 - red square at (2, 6): distance = \|2 - 2\| + \|0 - 6\| = 6, area = 64 Sum of areas (target + nearest) = 81.0 → Rounded = 81</think> <answer>81</answer>
	There are 4 shapes on a 4x4 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (0, 0) - green trapezoid at (0, 0): area = 52.0 - blue trapezoid at (1, 0): distance = \|0 - 1\| + \|0 - 0\| = 1, area = 16.0 Sum of areas (target + nearest) = 68.0 → Rounded = 68</think> <answer>68</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the yellow square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow square at (1, 6) - yellow square at (1, 6): area = 16 - purple rectangle at (0, 6): distance = \|1 - 0\| + \|6 - 6\| = 1, area = 15 Sum of areas (target + nearest) = 31 → Rounded = 31</think> <answer>31</answer>
	There are 2 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (0, 0) - blue right triangle at (0, 0): area = 4.0 - red trapezoid at (2, 4): distance = \|0 - 2\| + \|0 - 4\| = 6, area = 20.0 Sum of areas (target + nearest) = 24.0 → Rounded = 24</think> <answer>24</answer>
	There are 3 shapes on a 4x4 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (0, 2) - green trapezoid at (0, 2): area = 4.0 - red trapezoid at (2, 1): distance = \|0 - 2\| + \|2 - 1\| = 3, area = 9.0 Sum of areas (target + nearest) = 13.0 → Rounded = 13</think> <answer>13</answer>
	There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the purple right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple right triangle at (0, 7) - purple right triangle at (0, 7): area = 3.0 - green rectangle at (3, 7): distance = \|0 - 3\| + \|7 - 7\| = 3, area = 32 Sum of areas (target + nearest) = 35.0 → Rounded = 35</think> <answer>35</answer>
	There are 6 shapes on a 10x10 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (1, 5) - red square at (1, 5): area = 49 - yellow right triangle at (4, 6): distance = \|1 - 4\| + \|5 - 6\| = 4, area = 9.0 Sum of areas (target + nearest) = 58.0 → Rounded = 58</think> <answer>58</answer>
	There are 6 shapes on a 5x5 grid. Find the shape that is nearest to the purple right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple right triangle at (3, 0) - purple right triangle at (3, 0): area = 22.5 - blue trapezoid at (4, 0): distance = \|3 - 4\| + \|0 - 0\| = 1, area = 49.0 Sum of areas (target + nearest) = 71.5 → Rounded = 72</think> <answer>72</answer>
	There are 3 shapes on a 6x6 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (1, 1) - green trapezoid at (1, 1): area = 48.0 - blue rectangle at (1, 2): distance = \|1 - 1\| + \|1 - 2\| = 1, area = 56 Sum of areas (target + nearest) = 104.0 → Rounded = 104</think> <answer>104</answer>
	There are 2 shapes on a 7x7 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue rectangle at (0, 6) - blue rectangle at (0, 6): area = 30 - red rectangle at (6, 6): distance = \|0 - 6\| + \|6 - 6\| = 6, area = 14 Sum of areas (target + nearest) = 44 → Rounded = 44</think> <answer>44</answer>
	There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow right triangle at (8, 9) - yellow right triangle at (8, 9): area = 27.0 - red square at (4, 9): distance = \|8 - 4\| + \|9 - 9\| = 4, area = 64 Sum of areas (target + nearest) = 91.0 → Rounded = 91</think> <answer>91</answer>
	There are 3 shapes on a 4x4 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (2, 0) - blue right triangle at (2, 0): area = 1.0 - red right triangle at (2, 1): distance = \|2 - 2\| + \|0 - 1\| = 1, area = 10.5 Sum of areas (target + nearest) = 11.5 → Rounded = 12</think> <answer>12</answer>
	There are 4 shapes on a 6x6 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (5, 3) - red trapezoid at (5, 3): area = 17.5 - green trapezoid at (3, 2): distance = \|5 - 3\| + \|3 - 2\| = 3, area = 12.0 Sum of areas (target + nearest) = 29.5 → Rounded = 30</think> <answer>30</answer>
	There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green square at (4, 5) - green square at (4, 5): area = 49 - purple right triangle at (3, 5): distance = \|4 - 3\| + \|5 - 5\| = 1, area = 27.0 Sum of areas (target + nearest) = 76.0 → Rounded = 76</think> <answer>76</answer>
	There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow rectangle at (5, 4) - yellow rectangle at (5, 4): area = 36 - purple trapezoid at (8, 4): distance = \|5 - 8\| + \|4 - 4\| = 3, area = 30.0 Sum of areas (target + nearest) = 66.0 → Rounded = 66</think> <answer>66</answer>
	There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the purple trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple trapezoid at (5, 2) - purple trapezoid at (5, 2): area = 9.0 - orange trapezoid at (5, 3): distance = \|5 - 5\| + \|2 - 3\| = 1, area = 36.0 Sum of areas (target + nearest) = 45.0 → Rounded = 45</think> <answer>45</answer>
	There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (0, 5) - red trapezoid at (0, 5): area = 36.0 - blue trapezoid at (4, 0): distance = \|0 - 4\| + \|5 - 0\| = 9, area = 4.0 Sum of areas (target + nearest) = 40.0 → Rounded = 40</think> <answer>40</answer>
	There are 3 shapes on a 3x3 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (2, 1) - red square at (2, 1): area = 1 - blue rectangle at (0, 2): distance = \|2 - 0\| + \|1 - 2\| = 3, area = 3 Sum of areas (target + nearest) = 4 → Rounded = 4</think> <answer>4</answer>
	There are 2 shapes on a 6x6 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue trapezoid at (5, 3) - blue trapezoid at (5, 3): area = 20.0 - red right triangle at (0, 5): distance = \|5 - 0\| + \|3 - 5\| = 7, area = 22.5 Sum of areas (target + nearest) = 42.5 → Rounded = 42</think> <answer>42</answer>
	There are 2 shapes on a 4x4 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (0, 3) - red trapezoid at (0, 3): area = 18.0 - blue square at (1, 2): distance = \|0 - 1\| + \|3 - 2\| = 2, area = 81 Sum of areas (target + nearest) = 99.0 → Rounded = 99</think> <answer>99</answer>
	There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red rectangle at (0, 0) - red rectangle at (0, 0): area = 20 - blue square at (1, 0): distance = \|0 - 1\| + \|0 - 0\| = 1, area = 9 Sum of areas (target + nearest) = 29 → Rounded = 29</think> <answer>29</answer>
	There are 4 shapes on a 10x10 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow trapezoid at (5, 4) - yellow trapezoid at (5, 4): area = 22.5 - red square at (7, 9): distance = \|5 - 7\| + \|4 - 9\| = 7, area = 49 Sum of areas (target + nearest) = 71.5 → Rounded = 72</think> <answer>72</answer>
	There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (1, 3) - blue right triangle at (1, 3): area = 1.0 - green trapezoid at (1, 1): distance = \|1 - 1\| + \|3 - 1\| = 2, area = 32.5 Sum of areas (target + nearest) = 33.5 → Rounded = 34</think> <answer>34</answer>
	There are 4 shapes on a 3x3 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue rectangle at (1, 0) - blue rectangle at (1, 0): area = 27 - yellow square at (1, 1): distance = \|1 - 1\| + \|0 - 1\| = 1, area = 81 Sum of areas (target + nearest) = 108 → Rounded = 108</think> <answer>108</answer>
	There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the green right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green right triangle at (2, 2) - green right triangle at (2, 2): area = 12.0 - red right triangle at (2, 1): distance = \|2 - 2\| + \|2 - 1\| = 1, area = 9.0 Sum of areas (target + nearest) = 21.0 → Rounded = 21</think> <answer>21</answer>
	There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red rectangle at (2, 3) - red rectangle at (2, 3): area = 28 - purple rectangle at (1, 4): distance = \|2 - 1\| + \|3 - 4\| = 2, area = 48 Sum of areas (target + nearest) = 76 → Rounded = 76</think> <answer>76</answer>
	There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red right triangle at (3, 4) - red right triangle at (3, 4): area = 18.0 - purple trapezoid at (3, 5): distance = \|3 - 3\| + \|4 - 5\| = 1, area = 12.0 Sum of areas (target + nearest) = 30.0 → Rounded = 30</think> <answer>30</answer>
	There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue square at (2, 8) - blue square at (2, 8): area = 9 - red right triangle at (4, 0): distance = \|2 - 4\| + \|8 - 0\| = 10, area = 18.0 Sum of areas (target + nearest) = 27.0 → Rounded = 27</think> <answer>27</answer>
	There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the yellow square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow square at (4, 3) - yellow square at (4, 3): area = 9 - purple rectangle at (3, 5): distance = \|4 - 3\| + \|3 - 5\| = 3, area = 24 Sum of areas (target + nearest) = 33 → Rounded = 33</think> <answer>33</answer>
	There are 3 shapes on a 9x9 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red trapezoid at (7, 7) - red trapezoid at (7, 7): area = 44.0 - blue square at (5, 4): distance = \|7 - 5\| + \|7 - 4\| = 5, area = 1 Sum of areas (target + nearest) = 45.0 → Rounded = 45</think> <answer>45</answer>
	There are 4 shapes on a 3x3 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green rectangle at (2, 1) - green rectangle at (2, 1): area = 12 - red trapezoid at (2, 2): distance = \|2 - 2\| + \|1 - 2\| = 1, area = 37.5 Sum of areas (target + nearest) = 49.5 → Rounded = 50</think> <answer>50</answer>
	There are 2 shapes on a 9x9 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue trapezoid at (2, 7) - blue trapezoid at (2, 7): area = 5.0 - red square at (5, 4): distance = \|2 - 5\| + \|7 - 4\| = 6, area = 64 Sum of areas (target + nearest) = 69.0 → Rounded = 69</think> <answer>69</answer>
	There are 6 shapes on a 10x10 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (4, 8) - green trapezoid at (4, 8): area = 27.5 - yellow square at (7, 9): distance = \|4 - 7\| + \|8 - 9\| = 4, area = 9 Sum of areas (target + nearest) = 36.5 → Rounded = 36</think> <answer>36</answer>
	There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green rectangle at (2, 5) - green rectangle at (2, 5): area = 6 - blue trapezoid at (1, 3): distance = \|2 - 1\| + \|5 - 3\| = 3, area = 10.0 Sum of areas (target + nearest) = 16.0 → Rounded = 16</think> <answer>16</answer>
	There are 5 shapes on a 6x6 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green square at (2, 2) - green square at (2, 2): area = 4 - yellow square at (3, 1): distance = \|2 - 3\| + \|2 - 1\| = 2, area = 36 Sum of areas (target + nearest) = 40 → Rounded = 40</think> <answer>40</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (5, 4) - red square at (5, 4): area = 49 - purple rectangle at (5, 6): distance = \|5 - 5\| + \|4 - 6\| = 2, area = 5 Sum of areas (target + nearest) = 54 → Rounded = 54</think> <answer>54</answer>
	There are 2 shapes on a 7x7 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red right triangle at (0, 6) - red right triangle at (0, 6): area = 31.5 - blue square at (6, 6): distance = \|0 - 6\| + \|6 - 6\| = 6, area = 36 Sum of areas (target + nearest) = 67.5 → Rounded = 68</think> <answer>68</answer>
	There are 4 shapes on a 5x5 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow trapezoid at (4, 2) - yellow trapezoid at (4, 2): area = 5.5 - red trapezoid at (0, 1): distance = \|4 - 0\| + \|2 - 1\| = 5, area = 67.5 Sum of areas (target + nearest) = 73.0 → Rounded = 73</think> <answer>73</answer>
	There are 2 shapes on a 6x6 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (0, 0) - blue right triangle at (0, 0): area = 4.0 - red square at (1, 1): distance = \|0 - 1\| + \|0 - 1\| = 2, area = 36 Sum of areas (target + nearest) = 40.0 → Rounded = 40</think> <answer>40</answer>
	There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the purple trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple trapezoid at (1, 8) - purple trapezoid at (1, 8): area = 35.0 - red trapezoid at (3, 8): distance = \|1 - 3\| + \|8 - 8\| = 2, area = 2.0 Sum of areas (target + nearest) = 37.0 → Rounded = 37</think> <answer>37</answer>
	There are 5 shapes on a 5x5 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow right triangle at (0, 2) - yellow right triangle at (0, 2): area = 3.0 - blue trapezoid at (1, 1): distance = \|0 - 1\| + \|2 - 1\| = 2, area = 22.5 Sum of areas (target + nearest) = 25.5 → Rounded = 26</think> <answer>26</answer>
	There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the orange trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: orange trapezoid at (1, 5) - orange trapezoid at (1, 5): area = 18.0 - green rectangle at (1, 4): distance = \|1 - 1\| + \|5 - 4\| = 1, area = 8 Sum of areas (target + nearest) = 26.0 → Rounded = 26</think> <answer>26</answer>
	There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: blue right triangle at (6, 6) - blue right triangle at (6, 6): area = 3.0 - green square at (4, 6): distance = \|6 - 4\| + \|6 - 6\| = 2, area = 25 Sum of areas (target + nearest) = 28.0 → Rounded = 28</think> <answer>28</answer>
	There are 6 shapes on a 9x9 grid. Find the shape that is nearest to the purple rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: purple rectangle at (2, 6) - purple rectangle at (2, 6): area = 14 - red rectangle at (2, 4): distance = \|2 - 2\| + \|6 - 4\| = 2, area = 36 Sum of areas (target + nearest) = 50 → Rounded = 50</think> <answer>50</answer>
	There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (5, 5) - green trapezoid at (5, 5): area = 16.5 - yellow square at (3, 5): distance = \|5 - 3\| + \|5 - 5\| = 2, area = 25 Sum of areas (target + nearest) = 41.5 → Rounded = 42</think> <answer>42</answer>
	There are 3 shapes on a 10x10 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: green trapezoid at (9, 4) - green trapezoid at (9, 4): area = 30.0 - red trapezoid at (8, 0): distance = \|9 - 8\| + \|4 - 0\| = 5, area = 44.0 Sum of areas (target + nearest) = 74.0 → Rounded = 74</think> <answer>74</answer>
	There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: yellow rectangle at (1, 2) - yellow rectangle at (1, 2): area = 9 - red trapezoid at (1, 4): distance = \|1 - 1\| + \|2 - 4\| = 2, area = 35.0 Sum of areas (target + nearest) = 44.0 → Rounded = 44</think> <answer>44</answer>
	There are 3 shapes on a 6x6 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.	<think>Target: red square at (1, 2) - red square at (1, 2): area = 16 - blue rectangle at (1, 4): distance = \|1 - 1\| + \|2 - 4\| = 2, area = 81 Sum of areas (target + nearest) = 97 → Rounded = 97</think> <answer>97</answer>

There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue rectangle at (5, 6) - blue rectangle at (5, 6): area = 5 - purple square at (4, 3): distance = |5 - 4| + |6 - 3| = 4, area = 64 Sum of areas (target + nearest) = 69 → Rounded = 69</think> <answer>69</answer>

There are 3 shapes on a 10x10 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (9, 0) - red square at (9, 0): area = 81 - blue square at (8, 7): distance = |9 - 8| + |0 - 7| = 8, area = 25 Sum of areas (target + nearest) = 106 → Rounded = 106</think> <answer>106</answer>

There are 2 shapes on a 3x3 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red rectangle at (0, 1) - red rectangle at (0, 1): area = 4 - blue rectangle at (0, 0): distance = |0 - 0| + |1 - 0| = 1, area = 7 Sum of areas (target + nearest) = 11 → Rounded = 11</think> <answer>11</answer>

There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (4, 3) - red trapezoid at (4, 3): area = 10.0 - blue trapezoid at (1, 4): distance = |4 - 1| + |3 - 4| = 4, area = 21.0 Sum of areas (target + nearest) = 31.0 → Rounded = 31</think> <answer>31</answer>

There are 5 shapes on a 4x4 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green rectangle at (0, 0) - green rectangle at (0, 0): area = 2 - red rectangle at (1, 1): distance = |0 - 1| + |0 - 1| = 2, area = 10 Sum of areas (target + nearest) = 12 → Rounded = 12</think> <answer>12</answer>

There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue trapezoid at (1, 7) - blue trapezoid at (1, 7): area = 5.0 - red trapezoid at (5, 5): distance = |1 - 5| + |7 - 5| = 6, area = 35.0 Sum of areas (target + nearest) = 40.0 → Rounded = 40</think> <answer>40</answer>

There are 5 shapes on a 5x5 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green square at (4, 1) - green square at (4, 1): area = 36 - blue square at (2, 3): distance = |4 - 2| + |1 - 3| = 4, area = 16 Sum of areas (target + nearest) = 52 → Rounded = 52</think> <answer>52</answer>

There are 3 shapes on a 3x3 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green square at (1, 0) - green square at (1, 0): area = 64 - red square at (1, 1): distance = |1 - 1| + |0 - 1| = 1, area = 16 Sum of areas (target + nearest) = 80 → Rounded = 80</think> <answer>80</answer>

There are 4 shapes on a 3x3 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow rectangle at (1, 0) - yellow rectangle at (1, 0): area = 8 - red trapezoid at (1, 2): distance = |1 - 1| + |0 - 2| = 2, area = 27.5 Sum of areas (target + nearest) = 35.5 → Rounded = 36</think> <answer>36</answer>

There are 4 shapes on a 10x10 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (0, 7) - blue right triangle at (0, 7): area = 12.0 - red right triangle at (1, 6): distance = |0 - 1| + |7 - 6| = 2, area = 10.5 Sum of areas (target + nearest) = 22.5 → Rounded = 22</think> <answer>22</answer>

There are 5 shapes on a 4x4 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red rectangle at (1, 1) - red rectangle at (1, 1): area = 20 - blue right triangle at (1, 2): distance = |1 - 1| + |1 - 2| = 1, area = 10.5 Sum of areas (target + nearest) = 30.5 → Rounded = 30</think> <answer>30</answer>

There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue square at (2, 0) - blue square at (2, 0): area = 49 - red rectangle at (1, 3): distance = |2 - 1| + |0 - 3| = 4, area = 36 Sum of areas (target + nearest) = 85 → Rounded = 85</think> <answer>85</answer>

There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red right triangle at (2, 5) - red right triangle at (2, 5): area = 12.0 - blue square at (3, 5): distance = |2 - 3| + |5 - 5| = 1, area = 36 Sum of areas (target + nearest) = 48.0 → Rounded = 48</think> <answer>48</answer>

There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green square at (3, 0) - green square at (3, 0): area = 25 - red rectangle at (4, 0): distance = |3 - 4| + |0 - 0| = 1, area = 21 Sum of areas (target + nearest) = 46 → Rounded = 46</think> <answer>46</answer>

There are 3 shapes on a 5x5 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green rectangle at (0, 2) - green rectangle at (0, 2): area = 18 - red right triangle at (1, 2): distance = |0 - 1| + |2 - 2| = 1, area = 0.5 Sum of areas (target + nearest) = 18.5 → Rounded = 18</think> <answer>18</answer>

There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (7, 7) - blue right triangle at (7, 7): area = 4.5 - red rectangle at (6, 8): distance = |7 - 6| + |7 - 8| = 2, area = 63 Sum of areas (target + nearest) = 67.5 → Rounded = 68</think> <answer>68</answer>

There are 3 shapes on a 3x3 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (2, 1) - red square at (2, 1): area = 4 - blue rectangle at (1, 1): distance = |2 - 1| + |1 - 1| = 1, area = 28 Sum of areas (target + nearest) = 32 → Rounded = 32</think> <answer>32</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green square at (1, 2) - green square at (1, 2): area = 16 - blue right triangle at (2, 2): distance = |1 - 2| + |2 - 2| = 1, area = 18.0 Sum of areas (target + nearest) = 34.0 → Rounded = 34</think> <answer>34</answer>

There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (1, 2) - blue right triangle at (1, 2): area = 12.0 - green rectangle at (3, 4): distance = |1 - 3| + |2 - 4| = 4, area = 16 Sum of areas (target + nearest) = 28.0 → Rounded = 28</think> <answer>28</answer>

There are 6 shapes on a 5x5 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow rectangle at (3, 1) - yellow rectangle at (3, 1): area = 54 - purple right triangle at (3, 2): distance = |3 - 3| + |1 - 2| = 1, area = 21.0 Sum of areas (target + nearest) = 75.0 → Rounded = 75</think> <answer>75</answer>

There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (1, 0) - red square at (1, 0): area = 49 - yellow right triangle at (0, 0): distance = |1 - 0| + |0 - 0| = 1, area = 28.0 Sum of areas (target + nearest) = 77.0 → Rounded = 77</think> <answer>77</answer>

There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue square at (2, 2) - blue square at (2, 2): area = 9 - purple rectangle at (2, 3): distance = |2 - 2| + |2 - 3| = 1, area = 25 Sum of areas (target + nearest) = 34 → Rounded = 34</think> <answer>34</answer>

There are 3 shapes on a 4x4 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue square at (3, 2) - blue square at (3, 2): area = 49 - red square at (3, 0): distance = |3 - 3| + |2 - 0| = 2, area = 16 Sum of areas (target + nearest) = 65 → Rounded = 65</think> <answer>65</answer>

There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (3, 0) - green trapezoid at (3, 0): area = 24.5 - blue right triangle at (1, 2): distance = |3 - 1| + |0 - 2| = 4, area = 28.0 Sum of areas (target + nearest) = 52.5 → Rounded = 52</think> <answer>52</answer>

There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow rectangle at (5, 5) - yellow rectangle at (5, 5): area = 8 - orange trapezoid at (3, 3): distance = |5 - 3| + |5 - 3| = 4, area = 35.0 Sum of areas (target + nearest) = 43.0 → Rounded = 43</think> <answer>43</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (3, 6) - blue right triangle at (3, 6): area = 4.0 - red trapezoid at (0, 6): distance = |3 - 0| + |6 - 6| = 3, area = 27.0 Sum of areas (target + nearest) = 31.0 → Rounded = 31</think> <answer>31</answer>

There are 3 shapes on a 9x9 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue rectangle at (5, 5) - blue rectangle at (5, 5): area = 20 - green square at (2, 5): distance = |5 - 2| + |5 - 5| = 3, area = 81 Sum of areas (target + nearest) = 101 → Rounded = 101</think> <answer>101</answer>

There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue trapezoid at (4, 0) - blue trapezoid at (4, 0): area = 42.5 - red rectangle at (5, 6): distance = |4 - 5| + |0 - 6| = 7, area = 42 Sum of areas (target + nearest) = 84.5 → Rounded = 84</think> <answer>84</answer>

There are 2 shapes on a 3x3 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue square at (2, 2) - blue square at (2, 2): area = 1 - red square at (1, 0): distance = |2 - 1| + |2 - 0| = 3, area = 1 Sum of areas (target + nearest) = 2 → Rounded = 2</think> <answer>2</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the purple square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple square at (1, 6) - purple square at (1, 6): area = 25 - blue trapezoid at (1, 2): distance = |1 - 1| + |6 - 2| = 4, area = 11.0 Sum of areas (target + nearest) = 36.0 → Rounded = 36</think> <answer>36</answer>

There are 2 shapes on a 9x9 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red right triangle at (5, 2) - red right triangle at (5, 2): area = 28.0 - blue trapezoid at (6, 6): distance = |5 - 6| + |2 - 6| = 5, area = 4.5 Sum of areas (target + nearest) = 32.5 → Rounded = 32</think> <answer>32</answer>

There are 3 shapes on a 5x5 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (2, 4) - red trapezoid at (2, 4): area = 42.0 - green trapezoid at (0, 3): distance = |2 - 0| + |4 - 3| = 3, area = 10.0 Sum of areas (target + nearest) = 52.0 → Rounded = 52</think> <answer>52</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the purple rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple rectangle at (5, 4) - purple rectangle at (5, 4): area = 15 - blue right triangle at (6, 4): distance = |5 - 6| + |4 - 4| = 1, area = 12.0 Sum of areas (target + nearest) = 27.0 → Rounded = 27</think> <answer>27</answer>

There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green square at (2, 4) - green square at (2, 4): area = 64 - yellow square at (3, 4): distance = |2 - 3| + |4 - 4| = 1, area = 25 Sum of areas (target + nearest) = 89 → Rounded = 89</think> <answer>89</answer>

There are 3 shapes on a 5x5 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (3, 0) - blue right triangle at (3, 0): area = 16.0 - red rectangle at (4, 2): distance = |3 - 4| + |0 - 2| = 3, area = 48 Sum of areas (target + nearest) = 64.0 → Rounded = 64</think> <answer>64</answer>

There are 3 shapes on a 8x8 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (1, 0) - blue right triangle at (1, 0): area = 14.0 - green square at (3, 1): distance = |1 - 3| + |0 - 1| = 3, area = 81 Sum of areas (target + nearest) = 95.0 → Rounded = 95</think> <answer>95</answer>

There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red right triangle at (3, 4) - red right triangle at (3, 4): area = 14.0 - blue rectangle at (6, 2): distance = |3 - 6| + |4 - 2| = 5, area = 3 Sum of areas (target + nearest) = 17.0 → Rounded = 17</think> <answer>17</answer>

There are 6 shapes on a 5x5 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (1, 4) - green trapezoid at (1, 4): area = 3.5 - red right triangle at (0, 3): distance = |1 - 0| + |4 - 3| = 2, area = 6.0 Sum of areas (target + nearest) = 9.5 → Rounded = 10</think> <answer>10</answer>

There are 2 shapes on a 6x6 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (2, 3) - red trapezoid at (2, 3): area = 33.0 - blue square at (0, 2): distance = |2 - 0| + |3 - 2| = 3, area = 25 Sum of areas (target + nearest) = 58.0 → Rounded = 58</think> <answer>58</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue trapezoid at (2, 1) - blue trapezoid at (2, 1): area = 4.0 - red trapezoid at (3, 1): distance = |2 - 3| + |1 - 1| = 1, area = 42.0 Sum of areas (target + nearest) = 46.0 → Rounded = 46</think> <answer>46</answer>

There are 3 shapes on a 6x6 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (5, 3) - red trapezoid at (5, 3): area = 37.5 - blue square at (2, 2): distance = |5 - 2| + |3 - 2| = 4, area = 4 Sum of areas (target + nearest) = 41.5 → Rounded = 42</think> <answer>42</answer>

There are 4 shapes on a 8x8 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red rectangle at (2, 3) - red rectangle at (2, 3): area = 18 - yellow trapezoid at (3, 2): distance = |2 - 3| + |3 - 2| = 2, area = 45.0 Sum of areas (target + nearest) = 63.0 → Rounded = 63</think> <answer>63</answer>

There are 3 shapes on a 10x10 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue square at (4, 9) - blue square at (4, 9): area = 1 - green rectangle at (7, 5): distance = |4 - 7| + |9 - 5| = 7, area = 56 Sum of areas (target + nearest) = 57 → Rounded = 57</think> <answer>57</answer>

There are 5 shapes on a 8x8 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (4, 6) - green trapezoid at (4, 6): area = 27.0 - yellow right triangle at (3, 7): distance = |4 - 3| + |6 - 7| = 2, area = 15.0 Sum of areas (target + nearest) = 42.0 → Rounded = 42</think> <answer>42</answer>

There are 5 shapes on a 6x6 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow right triangle at (0, 5) - yellow right triangle at (0, 5): area = 21.0 - red rectangle at (2, 5): distance = |0 - 2| + |5 - 5| = 2, area = 36 Sum of areas (target + nearest) = 57.0 → Rounded = 57</think> <answer>57</answer>

There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (2, 4) - red trapezoid at (2, 4): area = 12.0 - blue rectangle at (6, 2): distance = |2 - 6| + |4 - 2| = 6, area = 45 Sum of areas (target + nearest) = 57.0 → Rounded = 57</think> <answer>57</answer>

There are 4 shapes on a 5x5 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (0, 3) - red square at (0, 3): area = 49 - blue square at (3, 3): distance = |0 - 3| + |3 - 3| = 3, area = 36 Sum of areas (target + nearest) = 85 → Rounded = 85</think> <answer>85</answer>

There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the purple square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple square at (3, 1) - purple square at (3, 1): area = 4 - red right triangle at (2, 2): distance = |3 - 2| + |1 - 2| = 2, area = 15.0 Sum of areas (target + nearest) = 19.0 → Rounded = 19</think> <answer>19</answer>

There are 5 shapes on a 8x8 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow right triangle at (2, 4) - yellow right triangle at (2, 4): area = 20.0 - blue trapezoid at (2, 5): distance = |2 - 2| + |4 - 5| = 1, area = 4.5 Sum of areas (target + nearest) = 24.5 → Rounded = 24</think> <answer>24</answer>

There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow trapezoid at (1, 3) - yellow trapezoid at (1, 3): area = 9.0 - red trapezoid at (2, 3): distance = |1 - 2| + |3 - 3| = 1, area = 26.0 Sum of areas (target + nearest) = 35.0 → Rounded = 35</think> <answer>35</answer>

There are 2 shapes on a 8x8 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue trapezoid at (4, 7) - blue trapezoid at (4, 7): area = 12.0 - red square at (6, 1): distance = |4 - 6| + |7 - 1| = 8, area = 25 Sum of areas (target + nearest) = 37.0 → Rounded = 37</think> <answer>37</answer>

There are 5 shapes on a 4x4 grid. Find the shape that is nearest to the green right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green right triangle at (2, 1) - green right triangle at (2, 1): area = 13.5 - yellow square at (2, 0): distance = |2 - 2| + |1 - 0| = 1, area = 9 Sum of areas (target + nearest) = 22.5 → Rounded = 22</think> <answer>22</answer>

There are 4 shapes on a 10x10 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow trapezoid at (2, 0) - yellow trapezoid at (2, 0): area = 17.0 - red square at (2, 6): distance = |2 - 2| + |0 - 6| = 6, area = 64 Sum of areas (target + nearest) = 81.0 → Rounded = 81</think> <answer>81</answer>

There are 4 shapes on a 4x4 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (0, 0) - green trapezoid at (0, 0): area = 52.0 - blue trapezoid at (1, 0): distance = |0 - 1| + |0 - 0| = 1, area = 16.0 Sum of areas (target + nearest) = 68.0 → Rounded = 68</think> <answer>68</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the yellow square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow square at (1, 6) - yellow square at (1, 6): area = 16 - purple rectangle at (0, 6): distance = |1 - 0| + |6 - 6| = 1, area = 15 Sum of areas (target + nearest) = 31 → Rounded = 31</think> <answer>31</answer>

There are 2 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (0, 0) - blue right triangle at (0, 0): area = 4.0 - red trapezoid at (2, 4): distance = |0 - 2| + |0 - 4| = 6, area = 20.0 Sum of areas (target + nearest) = 24.0 → Rounded = 24</think> <answer>24</answer>

There are 3 shapes on a 4x4 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (0, 2) - green trapezoid at (0, 2): area = 4.0 - red trapezoid at (2, 1): distance = |0 - 2| + |2 - 1| = 3, area = 9.0 Sum of areas (target + nearest) = 13.0 → Rounded = 13</think> <answer>13</answer>

There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the purple right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple right triangle at (0, 7) - purple right triangle at (0, 7): area = 3.0 - green rectangle at (3, 7): distance = |0 - 3| + |7 - 7| = 3, area = 32 Sum of areas (target + nearest) = 35.0 → Rounded = 35</think> <answer>35</answer>

There are 6 shapes on a 10x10 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (1, 5) - red square at (1, 5): area = 49 - yellow right triangle at (4, 6): distance = |1 - 4| + |5 - 6| = 4, area = 9.0 Sum of areas (target + nearest) = 58.0 → Rounded = 58</think> <answer>58</answer>

There are 6 shapes on a 5x5 grid. Find the shape that is nearest to the purple right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple right triangle at (3, 0) - purple right triangle at (3, 0): area = 22.5 - blue trapezoid at (4, 0): distance = |3 - 4| + |0 - 0| = 1, area = 49.0 Sum of areas (target + nearest) = 71.5 → Rounded = 72</think> <answer>72</answer>

There are 3 shapes on a 6x6 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (1, 1) - green trapezoid at (1, 1): area = 48.0 - blue rectangle at (1, 2): distance = |1 - 1| + |1 - 2| = 1, area = 56 Sum of areas (target + nearest) = 104.0 → Rounded = 104</think> <answer>104</answer>

There are 2 shapes on a 7x7 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue rectangle at (0, 6) - blue rectangle at (0, 6): area = 30 - red rectangle at (6, 6): distance = |0 - 6| + |6 - 6| = 6, area = 14 Sum of areas (target + nearest) = 44 → Rounded = 44</think> <answer>44</answer>

There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow right triangle at (8, 9) - yellow right triangle at (8, 9): area = 27.0 - red square at (4, 9): distance = |8 - 4| + |9 - 9| = 4, area = 64 Sum of areas (target + nearest) = 91.0 → Rounded = 91</think> <answer>91</answer>

There are 3 shapes on a 4x4 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (2, 0) - blue right triangle at (2, 0): area = 1.0 - red right triangle at (2, 1): distance = |2 - 2| + |0 - 1| = 1, area = 10.5 Sum of areas (target + nearest) = 11.5 → Rounded = 12</think> <answer>12</answer>

There are 4 shapes on a 6x6 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (5, 3) - red trapezoid at (5, 3): area = 17.5 - green trapezoid at (3, 2): distance = |5 - 3| + |3 - 2| = 3, area = 12.0 Sum of areas (target + nearest) = 29.5 → Rounded = 30</think> <answer>30</answer>

There are 5 shapes on a 9x9 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green square at (4, 5) - green square at (4, 5): area = 49 - purple right triangle at (3, 5): distance = |4 - 3| + |5 - 5| = 1, area = 27.0 Sum of areas (target + nearest) = 76.0 → Rounded = 76</think> <answer>76</answer>

There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow rectangle at (5, 4) - yellow rectangle at (5, 4): area = 36 - purple trapezoid at (8, 4): distance = |5 - 8| + |4 - 4| = 3, area = 30.0 Sum of areas (target + nearest) = 66.0 → Rounded = 66</think> <answer>66</answer>

There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the purple trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple trapezoid at (5, 2) - purple trapezoid at (5, 2): area = 9.0 - orange trapezoid at (5, 3): distance = |5 - 5| + |2 - 3| = 1, area = 36.0 Sum of areas (target + nearest) = 45.0 → Rounded = 45</think> <answer>45</answer>

There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (0, 5) - red trapezoid at (0, 5): area = 36.0 - blue trapezoid at (4, 0): distance = |0 - 4| + |5 - 0| = 9, area = 4.0 Sum of areas (target + nearest) = 40.0 → Rounded = 40</think> <answer>40</answer>

There are 3 shapes on a 3x3 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (2, 1) - red square at (2, 1): area = 1 - blue rectangle at (0, 2): distance = |2 - 0| + |1 - 2| = 3, area = 3 Sum of areas (target + nearest) = 4 → Rounded = 4</think> <answer>4</answer>

There are 2 shapes on a 6x6 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue trapezoid at (5, 3) - blue trapezoid at (5, 3): area = 20.0 - red right triangle at (0, 5): distance = |5 - 0| + |3 - 5| = 7, area = 22.5 Sum of areas (target + nearest) = 42.5 → Rounded = 42</think> <answer>42</answer>

There are 2 shapes on a 4x4 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (0, 3) - red trapezoid at (0, 3): area = 18.0 - blue square at (1, 2): distance = |0 - 1| + |3 - 2| = 2, area = 81 Sum of areas (target + nearest) = 99.0 → Rounded = 99</think> <answer>99</answer>

There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red rectangle at (0, 0) - red rectangle at (0, 0): area = 20 - blue square at (1, 0): distance = |0 - 1| + |0 - 0| = 1, area = 9 Sum of areas (target + nearest) = 29 → Rounded = 29</think> <answer>29</answer>

There are 4 shapes on a 10x10 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow trapezoid at (5, 4) - yellow trapezoid at (5, 4): area = 22.5 - red square at (7, 9): distance = |5 - 7| + |4 - 9| = 7, area = 49 Sum of areas (target + nearest) = 71.5 → Rounded = 72</think> <answer>72</answer>

There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (1, 3) - blue right triangle at (1, 3): area = 1.0 - green trapezoid at (1, 1): distance = |1 - 1| + |3 - 1| = 2, area = 32.5 Sum of areas (target + nearest) = 33.5 → Rounded = 34</think> <answer>34</answer>

There are 4 shapes on a 3x3 grid. Find the shape that is nearest to the blue rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue rectangle at (1, 0) - blue rectangle at (1, 0): area = 27 - yellow square at (1, 1): distance = |1 - 1| + |0 - 1| = 1, area = 81 Sum of areas (target + nearest) = 108 → Rounded = 108</think> <answer>108</answer>

There are 6 shapes on a 4x4 grid. Find the shape that is nearest to the green right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green right triangle at (2, 2) - green right triangle at (2, 2): area = 12.0 - red right triangle at (2, 1): distance = |2 - 2| + |2 - 1| = 1, area = 9.0 Sum of areas (target + nearest) = 21.0 → Rounded = 21</think> <answer>21</answer>

There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the red rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red rectangle at (2, 3) - red rectangle at (2, 3): area = 28 - purple rectangle at (1, 4): distance = |2 - 1| + |3 - 4| = 2, area = 48 Sum of areas (target + nearest) = 76 → Rounded = 76</think> <answer>76</answer>

There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red right triangle at (3, 4) - red right triangle at (3, 4): area = 18.0 - purple trapezoid at (3, 5): distance = |3 - 3| + |4 - 5| = 1, area = 12.0 Sum of areas (target + nearest) = 30.0 → Rounded = 30</think> <answer>30</answer>

There are 2 shapes on a 10x10 grid. Find the shape that is nearest to the blue square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue square at (2, 8) - blue square at (2, 8): area = 9 - red right triangle at (4, 0): distance = |2 - 4| + |8 - 0| = 10, area = 18.0 Sum of areas (target + nearest) = 27.0 → Rounded = 27</think> <answer>27</answer>

There are 6 shapes on a 8x8 grid. Find the shape that is nearest to the yellow square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow square at (4, 3) - yellow square at (4, 3): area = 9 - purple rectangle at (3, 5): distance = |4 - 3| + |3 - 5| = 3, area = 24 Sum of areas (target + nearest) = 33 → Rounded = 33</think> <answer>33</answer>

There are 3 shapes on a 9x9 grid. Find the shape that is nearest to the red trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red trapezoid at (7, 7) - red trapezoid at (7, 7): area = 44.0 - blue square at (5, 4): distance = |7 - 5| + |7 - 4| = 5, area = 1 Sum of areas (target + nearest) = 45.0 → Rounded = 45</think> <answer>45</answer>

There are 4 shapes on a 3x3 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green rectangle at (2, 1) - green rectangle at (2, 1): area = 12 - red trapezoid at (2, 2): distance = |2 - 2| + |1 - 2| = 1, area = 37.5 Sum of areas (target + nearest) = 49.5 → Rounded = 50</think> <answer>50</answer>

There are 2 shapes on a 9x9 grid. Find the shape that is nearest to the blue trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue trapezoid at (2, 7) - blue trapezoid at (2, 7): area = 5.0 - red square at (5, 4): distance = |2 - 5| + |7 - 4| = 6, area = 64 Sum of areas (target + nearest) = 69.0 → Rounded = 69</think> <answer>69</answer>

There are 6 shapes on a 10x10 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (4, 8) - green trapezoid at (4, 8): area = 27.5 - yellow square at (7, 9): distance = |4 - 7| + |8 - 9| = 4, area = 9 Sum of areas (target + nearest) = 36.5 → Rounded = 36</think> <answer>36</answer>

There are 3 shapes on a 7x7 grid. Find the shape that is nearest to the green rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green rectangle at (2, 5) - green rectangle at (2, 5): area = 6 - blue trapezoid at (1, 3): distance = |2 - 1| + |5 - 3| = 3, area = 10.0 Sum of areas (target + nearest) = 16.0 → Rounded = 16</think> <answer>16</answer>

There are 5 shapes on a 6x6 grid. Find the shape that is nearest to the green square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green square at (2, 2) - green square at (2, 2): area = 4 - yellow square at (3, 1): distance = |2 - 3| + |2 - 1| = 2, area = 36 Sum of areas (target + nearest) = 40 → Rounded = 40</think> <answer>40</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (5, 4) - red square at (5, 4): area = 49 - purple rectangle at (5, 6): distance = |5 - 5| + |4 - 6| = 2, area = 5 Sum of areas (target + nearest) = 54 → Rounded = 54</think> <answer>54</answer>

There are 2 shapes on a 7x7 grid. Find the shape that is nearest to the red right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red right triangle at (0, 6) - red right triangle at (0, 6): area = 31.5 - blue square at (6, 6): distance = |0 - 6| + |6 - 6| = 6, area = 36 Sum of areas (target + nearest) = 67.5 → Rounded = 68</think> <answer>68</answer>

There are 4 shapes on a 5x5 grid. Find the shape that is nearest to the yellow trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow trapezoid at (4, 2) - yellow trapezoid at (4, 2): area = 5.5 - red trapezoid at (0, 1): distance = |4 - 0| + |2 - 1| = 5, area = 67.5 Sum of areas (target + nearest) = 73.0 → Rounded = 73</think> <answer>73</answer>

There are 2 shapes on a 6x6 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (0, 0) - blue right triangle at (0, 0): area = 4.0 - red square at (1, 1): distance = |0 - 1| + |0 - 1| = 2, area = 36 Sum of areas (target + nearest) = 40.0 → Rounded = 40</think> <answer>40</answer>

There are 5 shapes on a 10x10 grid. Find the shape that is nearest to the purple trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple trapezoid at (1, 8) - purple trapezoid at (1, 8): area = 35.0 - red trapezoid at (3, 8): distance = |1 - 3| + |8 - 8| = 2, area = 2.0 Sum of areas (target + nearest) = 37.0 → Rounded = 37</think> <answer>37</answer>

There are 5 shapes on a 5x5 grid. Find the shape that is nearest to the yellow right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow right triangle at (0, 2) - yellow right triangle at (0, 2): area = 3.0 - blue trapezoid at (1, 1): distance = |0 - 1| + |2 - 1| = 2, area = 22.5 Sum of areas (target + nearest) = 25.5 → Rounded = 26</think> <answer>26</answer>

There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the orange trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: orange trapezoid at (1, 5) - orange trapezoid at (1, 5): area = 18.0 - green rectangle at (1, 4): distance = |1 - 1| + |5 - 4| = 1, area = 8 Sum of areas (target + nearest) = 26.0 → Rounded = 26</think> <answer>26</answer>

There are 5 shapes on a 7x7 grid. Find the shape that is nearest to the blue right triangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: blue right triangle at (6, 6) - blue right triangle at (6, 6): area = 3.0 - green square at (4, 6): distance = |6 - 4| + |6 - 6| = 2, area = 25 Sum of areas (target + nearest) = 28.0 → Rounded = 28</think> <answer>28</answer>

There are 6 shapes on a 9x9 grid. Find the shape that is nearest to the purple rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: purple rectangle at (2, 6) - purple rectangle at (2, 6): area = 14 - red rectangle at (2, 4): distance = |2 - 2| + |6 - 4| = 2, area = 36 Sum of areas (target + nearest) = 50 → Rounded = 50</think> <answer>50</answer>

There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (5, 5) - green trapezoid at (5, 5): area = 16.5 - yellow square at (3, 5): distance = |5 - 3| + |5 - 5| = 2, area = 25 Sum of areas (target + nearest) = 41.5 → Rounded = 42</think> <answer>42</answer>

There are 3 shapes on a 10x10 grid. Find the shape that is nearest to the green trapezoid in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: green trapezoid at (9, 4) - green trapezoid at (9, 4): area = 30.0 - red trapezoid at (8, 0): distance = |9 - 8| + |4 - 0| = 5, area = 44.0 Sum of areas (target + nearest) = 74.0 → Rounded = 74</think> <answer>74</answer>

There are 6 shapes on a 6x6 grid. Find the shape that is nearest to the yellow rectangle in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: yellow rectangle at (1, 2) - yellow rectangle at (1, 2): area = 9 - red trapezoid at (1, 4): distance = |1 - 1| + |2 - 4| = 2, area = 35.0 Sum of areas (target + nearest) = 44.0 → Rounded = 44</think> <answer>44</answer>

There are 3 shapes on a 6x6 grid. Find the shape that is nearest to the red square in terms of Manhattan distance. What is the total area of the nearest shape and the target shape? Please round the result to the nearest integer. For instance, 13.5 should round up to 14.

<think>Target: red square at (1, 2) - red square at (1, 2): area = 16 - blue rectangle at (1, 4): distance = |1 - 1| + |2 - 4| = 2, area = 81 Sum of areas (target + nearest) = 97 → Rounded = 97</think> <answer>97</answer>