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-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
-----------
Prompt : To achieve the following goal: '
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
To decompose the task and find a solution, we can follow these steps:
1. Start by examining the given numbers: 14, 8, 8, 2.
2. Explore all possible combinations of the numbers using the basic arithmetic operations (+ - * /).
3. Look for combinations that result in 24.
4. If no combination results in 24, go back to step 2 and try different combinations.
5. If a combination results in 24, return the solution.
Let's begin the search process:
1. Explore all possible combinations using the first number (14):
- 14 + (8 8 2)
- 14 - (8 8 2)
- 14 * (8 8 2)
- 14 / (8 8 2)
2. Explore all possible combinations using the second number (8):
- (14 8) + (8 2)
- (14 8) - (8 2)
- (14 8) * (8 2)
- (14 8) / (8 2)
3. Explore all possible combinations using the third number (8):
- (14 8 8) + 2
- (14 8 8) - 2
- (14 8 8) * 2
- (14 8 8) / 2
4. Explore all possible combinations using the fourth number (2):
- (14 8 8 2) + 0
- (14 8 8 2) - 0
- (14 8 8 2) * 0
- (14 8 8 2) / 0
5. Evaluate potential subsequent steps for each explored combination:
- For (14 8 8 2) + 0,
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt : To achieve the following goal: '
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
1. Evaluate the first subtree exploration: 14 + 8 + 8 + 2
- Result: 32
2. Evaluate the second subtree exploration: 14 + 8 + 8 - 2
- Result: 28
3. Evaluate the third subtree exploration: 14 + 8 + 8 * 2
- Result: 38
4. Evaluate the fourth subtree exploration: 14 + 8 + 8 / 2
- Result: 30
5. Evaluate the fifth subtree exploration: 14 + 8 - 8 + 2
- Result: 16
6. Evaluate the sixth subtree exploration: 14 + 8 - 8 - 2
- Result: 12
7. Evaluate the seventh subtree exploration: 14 + 8 - 8 * 2
- Result: 6
8. Evaluate the eighth subtree exploration: 14 + 8 - 8 / 2
- Result: 14
9. Evaluate the ninth subtree exploration: 14 + 8 * 8 + 2
- Result: 78
10. Evaluate the tenth subtree exploration: 14 + 8 * 8 - 2
- Result: 62
11. Evaluate the eleventh subtree exploration: 14 + 8 * 8 * 2
- Result: 150
12. Evaluate the twelfth subtree exploration: 14 + 8 * 8 / 2
- Result: 46
13. Evaluate the thirteenth subtree exploration: 14 + 8 / 8 + 2
- Result: 17
14. Evaluate the fourteenth subtree exploration: 14 + 8 / 8 - 2
- Result: 12
15. Evaluate the fifteenth subtree exploration: 14 + 8 / 8
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
-----------
Prompt : To achieve the following goal: '
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
1. 5 + 10 = 15 (15 5 2)
2. 15 + 5 = 20 (20 2)
3. 20 + 2 = 22 (22)
4. 22 + 2 = 24 (24)
The definitive end result is 24 and it can be obtained by adding the numbers in the parenthesis in ascending order: 5 + 10 = 15, 15 + 5 = 20, 20 + 2 = 22 and 22 + 2 = 24.
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt : To achieve the following goal: '
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
1. Start with the given numbers in the parenthesis (14 8 8 2) and evaluate potential subsequent steps to either progress towards a solution or retrace to another viable subtree.
2. Check if any of the numbers in the parenthesis can be combined to create a number that is equal to 24.
3. If not, look for a combination of two numbers that can be combined to create a number that is equal to 24.
4. If no combination of two numbers can create a number that is equal to 24, look for a combination of three numbers that can be combined to create a number that is equal to 24.
5. If no combination of three numbers can create a number that is equal to 24, look for a combination of four numbers that can be combined to create a number that is equal to 24.
6. If no combination of four numbers can create a number that is equal to 24, look for a combination of five numbers that can be combined to create a number that is equal to 24.
7. If no combination of five numbers can create a number that is equal to 24, look for a combination of six numbers that can be combined to create a number that is equal to 24.
8. If no combination of six numbers can create a number that is equal to 24, look for a combination of seven numbers that can be combined to create a number that is equal to 24.
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
###################
-----------
Prompt : To achieve the following goal: '
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
1. First operations:
- (14 8) 8 2
- (10 5) 5 2
2. Subtree exploration 1:
- (14 8) 8 2
- (6 6) 8 2
- 6 (6 8) 2
- 6 (2 8) 2
- 6 2 (8 2)
3. Subtree exploration 2:
- (10 5) 5 2
- (5 5) 5 2
- 5 (5 2) 2
- 5 (3 2) 2
- 5 3 (2 2)
4. Subtree exploration 3:
- 5 10 5 2
- 5 5 (5 2) 2
- 5 5 (3 2) 2
- 5 5 3 (2 2)
5. Final Solution:
5 5 3 (2 2) -> 5 5 3 4 -> 5 5 7 -> 10 12 -> 22 -> 24
Summary:
Using the numbers 14 8 8 2, the solution is to first split the numbers into (14 8) 8 2 and (10 5) 5 2. Then, explore the subtrees of each of these numbers, starting with (14 8) 8 2. From here, we can find the solution 5 5 3 (2 2) which leads to 5 5 3 4, 5 5 7,
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt : To achieve the following goal: '
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
1. First operations:
a. 14 + 8 = 22 (22 8 8 2)
b. 14 - 8 = 6 (6 8 8 2)
c. 14 * 8 = 112 (112 8 2)
d. 14 / 8 = 1.75 (1.75 8 8 2)
2. Subtree exploration 1:
a. 22 + 8 = 30 (30 8 2)
b. 22 - 8 = 14 (14 8 2)
c. 22 * 8 = 176 (176 2)
d. 22 / 8 = 2.75 (2.75 8 2)
3. Subtree exploration 2:
a. 30 + 8 = 38 (38 2)
b. 30 - 8 = 22 (22 8 2)
c. 30 * 8 = 240 (240 2)
d. 30 / 8 = 3.75 (3.75 2)
4. Subtree exploration 3:
a. 38 + 2 = 40 (40)
b. 38 - 2 = 36 (36)
c. 38 * 2 = 76 (76)
d. 38 / 2 = 19 (19)
5. Subtree exploration 4:
a. 40 + 0 = 40 (40)
b. 40 - 0 = 40 (40)
c. 40 * 0 = 0 (0
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
###################
-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
###################
-----------
Prompt : To achieve the following goal: '
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
To obtain 24 using the numbers 14, 8, 8, and 2, we can decompose the task into the following subtasks:
1. Explore all possible combinations of the given numbers.
2. Apply basic arithmetic operations to each combination to evaluate if it can result in 24.
3. If a combination results in 24, return it as the solution.
4. If no combination results in 24, continue exploring other combinations.
Subtask 1: Explore all possible combinations of the given numbers.
1. Combine the numbers in all possible orders:
- 14, 8, 8, 2
- 14, 8, 2, 8
- 14, 2, 8, 8
- 8, 14, 8, 2
- 8, 14, 2, 8
- 8, 8, 14, 2
- 8, 8, 2, 14
- 8, 2, 14, 8
- 8, 2, 8, 14
- 2, 14, 8, 8
- 2, 8, 14, 8
- 2, 8, 8, 14
Subtask 2: Apply basic arithmetic operations to each combination to evaluate if it can result in 24.
1. For each combination, apply the four basic arithmetic operations (+, -, *, /) to evaluate if it equals 24.
- 14 + 8 + 8 + 2 = 32
- 14 + 8 + 2 + 8 = 32
- 14 + 2 + 8 + 8 = 32
- 8 + 14 + 8 + 2 = 32
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt : To achieve the following goal: '
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
To decompose the task into subtasks, we can follow the following steps:
1. Identify the given numbers: 14, 8, 8, 2
2. Determine all possible combinations of the given numbers.
3. For each combination, perform basic arithmetic operations (+, -, *, /) to obtain 24.
4. Check if any of the combinations result in 24.
5. If a combination results in 24, return that combination as the solution.
6. If none of the combinations result in 24, go back to step 2 and try different combinations.
Subtask 1: Identify the given numbers
- Given numbers: 14, 8, 8, 2
Subtask 2: Determine all possible combinations of the given numbers
- Possible combinations:
- 14 8 8 2
- 14 8 2 8
- 14 2 8 8
- 8 14 8 2
- 8 14 2 8
- 8 8 14 2
- 8 8 2 14
- 8 2 14 8
- 8 2 8 14
- 2 14 8 8
- 2 8 14 8
- 2 8 8 14
Subtask 3: For each combination, perform basic arithmetic operations to obtain 24
- Combination: 14 8 8 2
- 14 + 8 + 8 + 2 = 32 (not equal to 24)
- 14 + 8 + 8 - 2 = 28 (not equal to 24)
- 14 + 8 + 8 * 2 = 46 (not equal to 24)
- 14 +
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
###################
-----------
Prompt :
Accomplish the task below by decomposing it as many very explicit subtasks as possible, be very explicit and thorough denoted by
a search process, highlighted by markers ‘1’,..., ‘3’ as “first operations” guiding subtree exploration for the OBJECTIVE,
focus on the third subtree exploration. Produce prospective search steps (e.g., the subtree exploration ‘5. 11 + 1’)
and evaluates potential subsequent steps to either progress
towards a solution or retrace to another viable subtree then be very thorough
and think atomically then provide solutions for those subtasks,
then return the definitive end result and then summarize it
########## OBJECTIVE
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
###################
-----------
Prompt : To achieve the following goal: '
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions:
To decompose the task and find a solution, we can follow these subtasks:
1. Explore all possible combinations of the given numbers (14, 8, 8, 2) to form equations using basic arithmetic operations (+ - * /).
2. Check if any of the combinations result in 24 without using negative or fractional numbers.
3. If no combination satisfies the condition in step 2, backtrack to a viable subtree and continue exploring.
4. Repeat steps 1-3 until all possible combinations have been explored.
5. Return the definitive end result, which is the equation that equals 24.
Now let's go through the subtasks in detail:
1. Explore all possible combinations of the given numbers (14, 8, 8, 2) to form equations using basic arithmetic operations (+ - * /):
- 14 + 8 + 8 + 2
- 14 + 8 + 8 - 2
- 14 + 8 + 8 * 2
- 14 + 8 + 8 / 2
- 14 + 8 - 8 + 2
- 14 + 8 - 8 - 2
- 14 + 8 - 8 * 2
- 14 + 8 - 8 / 2
- 14 + 8 * 8 + 2
- 14 + 8 * 8 - 2
- 14 + 8 * 8 * 2
- 14 + 8 * 8 / 2
- 14 + 8 / 8 + 2
- 14 + 8 / 8 - 2
- 14 + 8 / 8 * 2
- 14 + 8 / 8 / 2
- 14 -
If the solutions is not making fast progress in achieving the goal, give it a lower score.
Evaluate all solutions AS A FLOAT BETWEEN 0 and 1:
, DO NOT RETURN ANYTHING ELSE
-----------
Prompt : To achieve the following goal: '
PROMPT
###################
Use numbers and basic arithmetic operations (+ - * /) to obtain 24. When
considering the next steps, do not choose operations that will result in a
negative or fractional number. In order to help with the calculations, the
numbers in the parenthesis represent the numbers that are left after the
operations and they are in descending order.
Another thing we do is when there are only two numbers left in the parenthesis, we
check whether we can arrive at 24 only by using basic arithmetic operations
(+ - * /). Some examples regarding this idea:
(21 2) no
since 21 + 2 = 23, 21 - 2 = 19, 21 * 2 = 42, 21 / 2 = 10.5, none of which is equal
to 24.
(30 6) 30 - 6 = 24 yes
(8 3) 8 * 3 = 24 yes
(12 8) no
(48 2) 48 / 2 = 24 yes
Most importantly, do not give up, all the numbers that will be given has indeed a
solution.
14 8 8 2
OBJECTIVE
#########
5 10 5 2
###################
', pessimistically value the context of the past solutions and more importantly the latest generated solution you had AS A FLOAT BETWEEN 0 AND 1
Past solutions: