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Each face of the polyhedron shown is either a triangle or a square. Each square borders 4 triangles, and each triangle borders 3 squares. The polyhedron has 6 squares. How many triangles does it have?
<image1>
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"path": null
}
|
"$\\boxed{8}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Each face of the polyhedron shown is either a triangle or a square. Each square borders 4 triangles, and each triangle borders 3 squares. The polyhedron has 6 squares. How many triangles does it have?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
302
|
Julia has 2017 round discs available: 1009 black ones and 1008 white ones. Using them, she wants to lay the biggest square pattern (as shown) possible and starts by using a black disc in the left upper corner. Subsequently she lays the discs in such a way that the colours alternate in each row and column. How many discs are left over
when she has laid the biggest square possible?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Julia has 2017 round discs available: 1009 black ones and 1008 white ones. Using them, she wants to lay the biggest square pattern (as shown) possible and starts by using a black disc in the left upper corner. Subsequently she lays the discs in such a way that the colours alternate in each row and column. How many discs are left over\nwhen she has laid the biggest square possible?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
303
|
The diagram shows a regular hexagon with side length 1. The grey flower is outlined by circular arcs with radius 1 whose centre's lie in the vertices of the hexagon. How big is the area of the grey flower?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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",
"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The diagram shows a regular hexagon with side length 1. The grey flower is outlined by circular arcs with radius 1 whose centre's lie in the vertices of the hexagon. How big is the area of the grey flower?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
304
|
We look at a regular tetrahedron with volume 1. Its four vertices are cut off by planes that go through the midpoints of the respective edges (see diagram). How big is the volume of the remaining solid?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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",
"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "We look at a regular tetrahedron with volume 1. Its four vertices are cut off by planes that go through the midpoints of the respective edges (see diagram). How big is the volume of the remaining solid?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
305
|
Nine whole numbers were written into the cells of a $3 \times 3$-table. The sum of these nine numbers is 500. We know that the numbers in two adjacent cells (with a common sideline) differ by exactly 1. Which number is in the middle cell?
<image1>
|
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"path": null
}
|
"$\\boxed{56}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Nine whole numbers were written into the cells of a $3 \\times 3$-table. The sum of these nine numbers is 500. We know that the numbers in two adjacent cells (with a common sideline) differ by exactly 1. Which number is in the middle cell?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"logic"
|
MathVision
|
306
|
In the diagram you can see the calendar page of a certain month. Unfortunately ink has run across parts of the page. Which day of the week does the 27th of that month fall on?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the diagram you can see the calendar page of a certain month. Unfortunately ink has run across parts of the page. Which day of the week does the 27th of that month fall on?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"arithmetic"
|
MathVision
|
307
|
The diagram shows the floor plan of Renate's house. Renate enters her house from the terrace (Terrasse) and walks through every door of the house exactly once. Which room does she end up in?
<image1>
|
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"path": null
}
|
"$\\boxed{2}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The diagram shows the floor plan of Renate's house. Renate enters her house from the terrace (Terrasse) and walks through every door of the house exactly once. Which room does she end up in?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"graph theory"
|
MathVision
|
308
|
The diagram shows an object made up of 12 dice glued-together. The object is dipped into some colour so that the entire outside is coloured in this new colour. How many of the small dice will have exactly four faces coloured in?
<image1>
|
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"path": null
}
|
"$\\boxed{10}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The diagram shows an object made up of 12 dice glued-together. The object is dipped into some colour so that the entire outside is coloured in this new colour. How many of the small dice will have exactly four faces coloured in?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
309
|
Four identical rhombuses (diamonds) and two squares are fitted together to form a regular octagon as shown. How big are the obtuse interior angles in the rhombuses?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Four identical rhombuses (diamonds) and two squares are fitted together to form a regular octagon as shown. How big are the obtuse interior angles in the rhombuses?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
310
|
The faces of the brick have the areas A, B and C as shown. How big is the volume of the brick?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The faces of the brick have the areas A, B and C as shown. How big is the volume of the brick?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
311
|
Two dice with volumes $V$ and $W$ intersect each other as shown. $90 \%$ of the volume of the die with volume $V$ does not belong to both dice. $85 \%$ of the volume of the die with volume $W$ does not belong to both dice. What is the relationship between the volumes of the two dice?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two dice with volumes $V$ and $W$ intersect each other as shown. $90 \\%$ of the volume of the die with volume $V$ does not belong to both dice. $85 \\%$ of the volume of the die with volume $W$ does not belong to both dice. What is the relationship between the volumes of the two dice?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
312
|
The five vases shown are filled with water. The filling rate is constant. For which of the five vases does the graph shown describe the height of the water $h$ as a function of the time t?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The five vases shown are filled with water. The filling rate is constant. For which of the five vases does the graph shown describe the height of the water $h$ as a function of the time t?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"statistics"
|
MathVision
|
313
|
An octahedron is inscribed into a die with side length 1. The vertices of the octahedron are the midpoints of the faces of the die. How big is the volume of the octahedron?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "An octahedron is inscribed into a die with side length 1. The vertices of the octahedron are the midpoints of the faces of the die. How big is the volume of the octahedron?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
314
|
The vertices of a triangle have the co-ordinates $A(p \mid q), B(r \mid s)$ and $C(t \mid u)$ as shown. The midpoints of the sides of the triangle are the points $\mathrm{M}(-2 \mid 1), \mathrm{N}(2 \mid-1)$ and $\mathrm{P}(3 \mid 2)$. Determine the value of the expression $p+q+r+s+t+u$
<image1>
|
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"path": null
}
|
"$\\boxed{5}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The vertices of a triangle have the co-ordinates $A(p \\mid q), B(r \\mid s)$ and $C(t \\mid u)$ as shown. The midpoints of the sides of the triangle are the points $\\mathrm{M}(-2 \\mid 1), \\mathrm{N}(2 \\mid-1)$ and $\\mathrm{P}(3 \\mid 2)$. Determine the value of the expression $p+q+r+s+t+u$\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
315
|
A regular pentagon is cut out of a page of lined paper. Step by step this pentagon is then rotated $21^{\circ}$ counter clockwise about its midpoint. The result after step one is shown in the diagram. Which of the diagrams shows the situation when the pentagon fills the hole entirely again for the first time?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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",
"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A regular pentagon is cut out of a page of lined paper. Step by step this pentagon is then rotated $21^{\\circ}$ counter clockwise about its midpoint. The result after step one is shown in the diagram. Which of the diagrams shows the situation when the pentagon fills the hole entirely again for the first time?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"transformation geometry"
|
MathVision
|
316
|
Three of the cards shown will be dealt to Nadia, the rest to Riny. Nadia multiplies the three values of her cards and Riny multiplies the two values of his cards. It turns out that the sum of those two products is a prime number. Determine the sum of the values of Nadia's cards.
<image1>
|
{
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rfNqN7qMn2i5v26zk8gjk8ck9TnJNdeeB3NAD6K888d/FnSfA8gs3gkvdTZQ4tkbaqqehZyOPpgmuJsP2kYHvY0vvDkkNsfvPBdCRh9FKqD+YoA95orP0nVbTWtNt9R0+YTWtwgkjde4P8j6g8itCgAooooA5Txt/zAPT+14P5muoYAHJ/HiuX8b9NA/7C8H8zXUOcDigDx/4gyN41+I2h+BYWLWdq327VCDxgDgH/gJI+rj0r1+JVRNiqFVeAAMYHauC8HeER4Y8RavqerapbXWta1Mzpj5SIx8xVQTk4yM47Ktd8hzkfrQA+ikJwK5rxp4usfBnh6bVb4liPkghVwGmk7KPT1J5wAeD0IB01Fct4K8Y2HjbQYtTsyY3zsuLdmDNA47EjqD1B7j05A6gHNAC0UUUAFFFFABRRTScc0AOorz7xx8VdJ8EajY6fNA93czOGnjifBgi6bunLei8ZweRxnt7O7gv7SK6tZUmgmQSRSIcq6kZBB9DQBaooooAKxPF3/Io6r/17N/KtusTxd/yKGq/9ezfyoAseHP+RZ0n/rzh/wDQBWnWZ4c/5FnSf+vOH/0AVp0AFFFFABRRRQAUUUUAFcl8Qv8AkAW//X7D/M11tcl8Qv8AkAW//X7D/M0AbusWTajo99YpKYXubd4VlUZKFlK7vwzXxjd6HrtjrknhWSGYXhulQ2aEkNJyEYDoeGJB9DX24VDAg9DwRWRJ4d0ubxFFrz2aHU4YTAk/cITnH15Iz7mgCLwhpE2geEtK0u4m82a1tkjkYHI3Ac49h0HsK3qRRgYpaACiiigBG6V8wftCzyP4/tY3z5a6dHsGcjl3JI+vT8K+nyM1458evBr6toUPiGyi3XOnAi4VRy0HXPvsOT7BmPagD5n3dTjr17VtXnibUb3wvpvh+V/9BsJZJIlB7uc8/Q7sf7xrEYYPp7UmaAPcf2eudTmxx/rf/QUro/jrf69cjS/DOk2szQahmSUxAnzSrDCE9gOCc+3pXOfs8/8AISm/7a/+gpX0JPbRXMEkMyJLDKrJJG6hldTwQQeoxxigD58+BOo67pniM6I9tK2l30H2sE8rH8vyuD054U479eRivolSQACKrWWn2mnWsdrZWsNtbxghIoIwiKCcnAHA5qd2CISzBVAySTgAfWgDJ8S+IbDwtodzq+ouVggXIUfekb+FF9yf8TgAmvjrxR4ivPFGv3WrX0gaWZ8ogPyxrnhVHpj6Z5J5NdT8V/iFN4x102to7LpFk5W3XP8ArG6GQ+55x7H3rzktzxxQB7r8DviN9luE8JarMBDIf+JfK7Y2uTnyiT6k8e/HORj6FRtwyK+CYW2vuGQRyCDyPpX1X8IviGfGGiGxv5B/bFkgEpJ/16dBJ+fB9/rQB6dRTVOR3p1ABXKeDf8AWeIen/IZn6/UV1dcr4N/1niH/sMXH8xQBwP7QHhu91PRdP1i1UyxaaZPPjHJVH2/Pj0G3n2PbFcR8ENC1TWvHQ8SzGR7WxD+bPISTJIyFAgz1ODn2wOmRX0vPBFcQvDNGskTqVdHAIZT1BB7VS0TQtO8O6YmnaVarb2qEsEXnJJySSeSf8BQB4b+0hLL9v8AD0bD9ysU5Uj+9uTP8l/OvCi3rX1j8aPBs/inwitxYx+ZqGnMZYkA+Z0Iw6L7nCnHfbjvXya4IwT3oA218TXy+EW8NZX7C14Lzqd2/Ztx1+73x61i7j0HSmU5V3GgD3D9nC4uP+Eg1uAKTbtao7t6OH+UfkzflX0YK8s+CPhCTw34VbULtSl5quyUoeqRAHYD7ncW9twFepjpQAtZPij/AJFTVv8Ar0l/9BNa1ZPif/kVdW/69Jf/AEE0AM8ND/iltKz/AM+kX/oNfO/xe8YXPinXrjQv7JO3SLl1imiLM7DhWJXpgnbg4449a+i/DIz4W0r/AK9Iv/QRTdX8P6brVlPbXlvlZyhkaNzG52kFfmUg8EDv2oA81+C3jabWYJfDjacttBpVsoicOSxAO0h8/wAWeeOOor14nIxjr2NVltre2aR4ooomkGZGCgbsd2Pf/wCua+Y/F3xr8Sahrc50LUDYaZG5SBY413SKCQHZmBOSO2eP1oAyPi/aXdv8T9YN0rZmdZYmKkbo9gwRnrjGP+AmuFA565J/Kux1Px/deJdKaz8T2qahdRKfsl/GRBNCT/C2Fw6f7JAPXDDNc/pN7p9rfifUtOa/hVTtt/PMSlsDG4gEleOgwT60AfUHwOt7y3+GVm12WKyzSywBhysZP9WDN/wKvSM18fz/ABf8ZyTo1rqy2MEWFhtrWBEiiUdFC4OQBx8xNe5/CD4g3fjXSrq31MqdSsSu91UKJkbOGwOAQQQQPb1oA9OopBS0Acp436aB/wBheD+Zrp5OB0JHTg4rmPG/TQP+wvB/M11R5HXHvQB8j+PNd8Vt8Upbm7ElvqllcBbKGL5hGAfk2Aj5t2QenzE9McV9UaRLfzaVaS6nbx2980Km4hjfcqORyAfr/wDrNVb3wzo+oa1Z6xd2MUt/ZZFvMw5TP88HJHoSSOea1m+UEnkY6UAU9W1Wz0bS7rUL6dYba2jMkjk9APQdz2A7nivkT4heN7vxv4hkvJC6WMJ2WlsTwif3jjjc3Un2A6AV23x58Vanca9/wjbRyW2n2ypK2ePtTsMh/wDdHIA9Qfw8Zc9vQ9aAOv8Ah943u/BHiJL6MvJZS/Jd2wf/AFidcjPG4dQfqMjNfXulanZ6tpkF/YTrPazoHilUYBB9jyD7HmvhJevtXtPwF8Xanb663hsxyXOn3KvMCOfsrAZLZ7KehHqQfXIB9KUU1Tx606gAooooADXHfEHxtaeB/Dz3822S7kylpbk48x8d++0cE/l3rrZWKqWClsc7RXxh498Val4s8UXN7qKPB5bGKK0f/lgoJ+X6+p4yc0AY2q6re6vqdxqN9O093O5aWR+pPpjoB2wOMACvVvgp8SRo94vhnV5yNPuH/wBEmY8QSE8qfRW/Q/UkeLk5GKdH1478UAffSnPrj1p1eXfBTxXqfibwpJDqKSu+nusC3jcicEE4z3ZeMn0K9ya9QHSgBaxPF3/Ioar/ANezfyrbrE8Xf8ihqv8A17N/KgCx4c/5FnSf+vOH/wBAFadZnhz/AJFnSf8Arzh/9AFadABRRRQAUUUUAFFFFABXJfEL/kAW/wD1+w/zNdbXJfEL/kAW/wD1+w/zNAHWClxQKKACiiigAooooAKilRHQq4BUjkEZBHvUtIRmgD5P+LPw7bwbqxv7FCdFu5D5K4z5D9TET6dSvsD3GT5qVB5yPwr7j8Q6FZeI9EudJ1BA1vOu0kfeQ9QynsVOCPpXzp4U+Dmp3HxBm07WrZ10vT5A8068JcpyVVD/ALWOR1AyDg0AdD8CNOurDUEa5ieEXUMs8O8YLxnaob81b8q+gRXGiKOD4m2cMKLHFHpO1UUYCgOwAA9MYrshQAtcd8Uri4tfhlr8tocS/ZimR2ViFb/x0muxqreWsN9aTWtzGstvNGY5I2GQ6kYIPsRmgD4OK5Ix6VoT6RfWul2mozW7R2d4ZBbSt0l2EBsfQkf0zzXu0v7Odi2rebF4guE08uCYWtw0oTjKh8gZ64O3jjg455b41SW0eq6X4Z0iymS00O2KZCkjMgUkA45+UKSSeS3tyAeXahpt5pU6wXkJhleFJlVsco6h1P4gj+Vdf8G5p4PinowhziVpI5FX+JDG2c+3Gfwr1OPwPY/FbwBoN5LJJperWNuLNpng3bgnBUqduR1YEHjca6LwB8JNP8DXjai142oaiV2JK0XlrEp67VyeSOCSfyoA9JX/AOvTqao4H9KdQAVy3gz/AFniH/sMXH8xXU1y3gz/AFniH/sMXH8xQB1NGKKKAGP24zXzT8avhsdCvJPEulw/8S66kzcxoOIJWP3vZWP4AnHcV9LsoYc1U1Gyt9QsJ7K8hE9tcIY5Y26OpGCDjn8qAPhFkx2r134M/DZfEOpDX9Xtw+k2r/uYnHFxKPUd1XuOhOByMiq8vwZ1X/hYy6DHHOdHP777eUICwZ5GcY8zquB1Yg4C9PpXSdPtNI02306xt1t7W3QRxxp0VR79z6k8k560AXkHXP4U+iigArJ8T/8AIq6t/wBekv8A6Ca1qyfE/wDyKurf9ekv/oJoAPDH/IraV/16Rf8AoIrWrJ8Mf8itpX/XpF/6CK1qAKeow+dYXMQIDPEygk45I9e1fC9zBLb3MsEyNHNE5jkjdcMrA4IIPv27V95kHtXE+IPhb4R8Sam+oX+lr9rcfPJC7R7/AHYKQCeepGTxzxQB8n6D4d1LxHqK2GlWzXNxtMjBSAqKOrMx4A6DnuQOpAMmmeHdV1jTdTvbC2aaLTkWS6C/eVTnnHcDBJ9AM+tfUmp2WjfCzwNql3oWnGJ9nyhCzvJKflQsSSSAT+AzXkXwI1OfSfF9xp9zazrBqUQQN5J+SRPmUnjAGC/PrigDyFlw3Y17h+zlp1ydY1jU9pFqlssG7Bwzlg3HuAvP1FelX/wf8D6pem7m0fyndtzpBK8SMf8AdUgD8AK63RdD03w9p0en6XZx21tH0RB1PqT1J9zQBpCloooA5Txv00D/ALC8H8zXVVyvjfpoH/YXg/ma6sUAGKQjNLRQBwnxK+H8PjjQSke1NUtQXtJiMc9Sjf7LYH0PPtXyLe2Vxp95NaXcTQ3ELmOSJhgow6g196EZrxv4zfDRtetm8RaLb79VgX/SIo1+a4jHQj1dQOO5HA6KKAPm+0tpry5itbaJ5biZ1iijQZLMxAAHuSa+uvhp4Bt/BGgCOQpLqlyA93MOmecIp/ujJGe5yeM4HI/BX4bto1sniXWIAuoXCH7LCw5hjYcsf9ph27A++B7Mg5PTHSgBVHehm2jJ6Up4Fcd8QvHFr4H8ONeyFZL2YFLO3Y/6x+5I67RkZ+oHGaAOqSeN5HjVlMiY3IGBK55GR2qZW3V8e+FPiPq+geNH8QXNxLeNdvm/jY/69SfyBHG3GAMY4HFfWOj6paa1pVtqNjP9otbhA8co43D3HY9QR6g8UAaLjOOcV4V8bvhsLmCXxdpMZM0ag6hCg+8o480DsR/F7c8YOfd6idQwYFQQQcgjOaAPghk5xjB9K6TwV4PvfGniCHTLX5I8h7icj5Yo+5+vYDuSK7v4l/Ca/wBP8TQS+G7B57HU5gkcEQ/1EpzlT2CdSDwAA3QDJ9r+H3ga08D+HY7KMK99Lh7y5A5lf0BP8IyQB7k8EmgDe0HR7LQNHt9LsIBDb2y7EHdu5Y+pJ5PvmtSkAxS0AFYni7/kUNV/69m/lW3WJ4u/5FDVf+vZv5UAWPDn/Is6T/15w/8AoArTrM8Of8izpP8A15w/+gCtOgAooooAKKKKACiiigArkviF/wAgC3/6/Yf5mutrkviF/wAgC3/6/Yf5mgDrRRQKKACiiigAooooAKKQnFIW4/rQApGfrSBcACm7+TgE49jS7s8UAcpPn/hatt6f2Uf/AENq60VyMxz8VLb1/ss9x/fauuFAC0hGaWigBCM0m3rTqKAECgdKMUtFABRRRQAVy3gz/WeIf+wxcfzFdTXLeDP9Z4h/7DFx/MUAdTRRRQAUhGaWigBu0f1pQuKWigAopCcU0vxx2645oAfWT4n/AORV1b/r0l/9BNagasnxMS3hbVcf8+kvvn5TQA7wx/yK2kn1tIv/AEEVrVj+FyP+EW0rH/PpF3z/AAitigAoxRSE4GaAEKggjjB65pCoOc9+/elLfXjrxTBKpJAYEg4PPT60ASBQKWmqwJI54p1ABRRRQBynjfpoH/YXg/ma6sVynjfpoH/YXg/ma6sUAFFFFABSEA9aXNMckc8/hQAoUA54/Kl6U1G3DI5HqO9PNAGTr+uWPhzRbjVdRl8q2t13HGMseyqO5JxgV8eeNPFl94y8RTarejYCNtvArZWGMfdUfnknjJycDpX1J8SvBQ8beFZLCOUxXcLia2Zj8pcZG1vYgkZ7ZB5xivj++s7jT7ya0u4WhuIHMckbdVYHBBoAr7vb9a9X+DnxKPhXUv7H1WbGjXT/ACu54tpD/Fn+6e/p19c+TgZNdR4H8HXfjTxDFptvmOEfPc3G3Ihj9fcnoB3JHvQB9pRvu7596eRmqWl2UOmaZa6fbbvItYVhjDNuIVRtGT3PFXScUAJs6c0oXH0pjN04I/Dr7U5WDcjp9aAHUUUUAFYni7/kUNV/69m/lW3WJ4u/5FDVf+vZv5UAWPDn/Is6T/15w/8AoArTrM8Of8izpP8A15w/+gCtOgAooooAKKKKACiiigArkviF/wAgC3/6/Yf5mutrkviF/wAgC3/6/Yf5mgDrRRQKKACiiigAooooARu1eGfHjxxqGlTWfh3TZ5LXzoPtFzNGxVipJVUDDkD5WJx147ZB9zPIr5r/AGi9Nni8VaXqjIPs09mIQ3+2jsxH5Ov60AeUaXq2oaPfrfabeS2tyrAh4XKk+3HBHqDxXtPiL4y3k3wy0qbT7lYddvmeG6eMDMPl8MwHQFwVI9MnGCM14M3ysRz7g00nNAHu/wABbme71u5uLmaSWaQys7yOWZjtTkk8k19DCvnP9nn/AJCc3/bX/wBBSvowUALRRRQAUUUUAFFFFABRRRQAVy3gz/WeIf8AsMXH8xXU1y3gz/WeIf8AsMXH8xQB1NFFFABRRRQAUUUGgDK8Q6quh+HtR1Z0DiytpJwhONxVSQM9snivjDxD4k1XxLqTXur3ktxMWJUOTtQZ+6q9FGc9K+xfGely614M1nTbdd09xZyJEuer7TtH54r4icFSUPUcYoA9d+DvxIvdH1yHQ9Xv9+jXAKo9xIcWrKCRtPZTjbt6ZII7553xF461Txn4ygnuLmUaeLtRbWm7Com75cjoWI6n+QwBwQYir+jHdrdgP+m6fzFAH2z4Y/5FbSf+vSL/ANBFa1ZHhf8A5FXSf+vOL/0EVr0AFNYkc4zSOdvJOB/KuR1/4k+FfDF4bLVdUCXigMYEieRwCMjIUHaSCDg44NAHh/xo8danf+LLzQLS7mg02yxE6ROV858AsWx1GTjHTjNeXadqd9pN4l1p95PazocrJC5Qj8q9L+JulWPirU7nxd4TvE1K1kjDX8UYImtmVQu9oyAwQgdcYyDXnukaNf69qCWOm2r3FwRuAXgKo6szHhVHqcAd6APrT4ZeKpfF3gm0v7o7ryJjbXDBcb3XHzYHAyCpOOASQOldrXjng/xr4G+H3hu08Pya/DdXMbFrqe0hkliMrHJw4UhgBhQR1Cjgc49S0nVrHWrCG+0+5juLaUEpLG2QfX8R0PocigDRooooA5Txv00D/sLwfzNdWK5Txv00D/sLwfzNdWKACiimscYHrQANwc4Jrwv42/EkQRTeE9ImPnsu3UJ0P3FP/LIEdzxu9Bxzk4634qfEaPwboZtbGRW1q7Q+QMZ8lOhkYdsdBnv64Ir5RnmkmlaWVmeSQlmdiSWJ6knvQB9C/BP4kNqEEfhXVZt1zCn+gzMcmRAP9WSf4h29h7c+4Ke3cda+DLW4ltLmK5t5WhmhdXjkjbDIwOQQR0Ix1r6z+F3j+LxtoPl3DKur2gC3UWMbx0Eij0PcdjkdMUAegkZxXjfxq+Go1uyfxJpEIOp2yf6TEg5uIh3A7so/MDHYCvY1Oc/zpG5PoBzQB8K6XpV1q+q2+m2ELT3dwwjjjUckn1z0A6k9AATnivr34f8Agmz8D+HksYtkl5JiS7uQOZZMYwP9kcgD3J6k0uh/D7QNB8TX+vWFsyXl4MYJBSHPLeWMfLuPJ9OgwOK61BhfagA+6P0qC5njggkkmkEcaKWd2OAqgZJJPA4BqaQ4BOccda+evjf8SDcyTeE9HmxDG+3UJVblmH/LIegH8XqRjscgHM/Ej4o3fiPxXBNo9zLDp2mTb7NlO0u4/wCWuP5A9uo5Ir3b4dePYPHPh0XPyJqMGI7uBDgK2OGUE52tzj3BGeK+O2b2rofBniu+8H+IoNUsSTt+SaItgTRk8ofr69iAe1AH2ypz3zTqyfD2vWPiTRLbVdOlMltcJuGeqnupHYg5H4VrCgArE8Xf8ihqv/Xs38q26xPF3/Ioar/17N/KgCx4c/5FnSf+vOH/ANAFadZnhz/kWdJ/684f/QBWnQAUUUUAFFFFABRRRQAVyXxC/wCQBb/9fsP8zXW1yXxC/wCQBb/9fsP8zQB1oooFFABRRRQAUUUUAFcz438I2njPw5Ppd1tSQ/PbzFcmGUDhh7diO4JrpqRhkY9aAPhPWtJvNC1e50u/iMN1bPskQ+vYg9wRgg9wRWcK+qPjJ8O18UaN/aunRf8AE4skOERebmMc7MD+IclfxHfj5ks7Ge/v4bK1iM1zPII4okGSzE4A/OgD2X9noEanNkf89f8A0FK+ixXkvgHwevgnxLYaZ5gkuJNOae5ccqZWYghfYBVX3254zXrQoAWiiigAooooAKKKKACiiigArlvBn+s8Q/8AYYuP5iuprlvBn+s8Q/8AYYuP5igDqaKKKACiiigAooooAY+ccda+Z/jX4AOjao/iPTYP+JdeSH7QqDIgmJ6/Rjn2zkemfpogGqWoafa6nYT2V9EJraeNo5Y2zhlPUevpQB8IMMHr71e0UZ1ywH/TdP5iuh8e+DLnwT4km06QvJauPMtZ2A/eR++P4h0P48Yre+G3w/fWtN1PxJfxMthYwSfZh086cKSD7qvB9zgZ4NAH0z4XI/4RXSf+vOL/ANBFa9ZHhnP/AAjGlkn/AJdIv/QBWvQBVvpzb2U84TeYkLhfUgZxXwreXtxfX9xe3EhkuLiRpZH/ALzMck/iTX3dNGssbRuu5HBVl9Qa+VfEvwX8U6VqsiaZYPqWns+IZ4XUkDsGXOQR69PegDzZZHBO0kEgj5eM56jigM6q+04yMMPUf5/lXtPgn4JzwNcat42jS3tLZGdbIzDL4GS8jqcKg+uTg5wBzgfCnwbpHjeHX9Mvy0V6sEUlnMh+aIhjubbn5h9wH2Prg0AeZscknjPNe6fs46tONR1nR2ZjbvEt0ik8KykKcD3DLn/dFcXqnwd8a6ffG3XRzdR7sJPayKyN27kEDp97Fez/AAd+Hd54Ks7y91VY11G92r5aEHyY15wT6knnHHyigD1MUtIKWgDlPG/TQP8AsLwfzNdWK5Txv00D/sLwfzNdWKACmtx7+3rTqQjIoA+bfjn4HvrPW5PFUBkuLK7KpPk5Nu+Nq/8AATgYPY8dwK8WfJOcjmvu7UNPttSs57K9iSa2uIzHLG44ZT1/z9K+SPiP4DuPA2vtBuebTLglrO4fqVH8DY43LwD6jBAGcAA4hMDnv9a90+A3gm8bUh4tuJpIbSMSQ20aEgXB+6xPqi9Pdh/s88J8M/AU/jjX1jkDJpNqyveTDjI7Rqf7zYx7DJ9j9c2dtBZWsVrbRJFbwoI4o0GAiqMAAdgBx+FAFhemMk8d6XFLRQAmBn6UAYpaKAK9zGJYHjJcBxtJRsMM8cHsa+NvHfgy98F+IZdPuT5tu2ZLa5HSZCeuezDoR6j3BP2gRkVyvjnwbY+NvD8um3QEc4+e2uQPmhk7H3U9CO49DggA+LSMZ6cU+NC7BFG5icAAZzV/WtHvNB1e70vUITFdWz7HU/oR6gggg9wc17N8Efhv5skfizVoAY0OdPhderA/60j2I+X354wKAO/+EPgy68IeFWOoyyfbL5hPLblyVg44GP7xGNx74A6KK9FHSmqvOScmn0AFYni7/kUNV/69m/lW3WJ4u/5FDVf+vZv5UAWPDn/Is6T/ANecP/oArTrM8Of8izpP/XnD/wCgCtOgAooooAKKKKACiiigArkviF/yALf/AK/Yf5mutrkviF/yALf/AK/Yf5mgDrRRQKKACiiigAooooAKKKKAGP071xekfDfQtI8a3vie3hb7VcglIjjZCzD52Udi36ZbHB47bFGKAORm/wCSqW3/AGCj/wChtXXCuSn/AOSqW3p/ZR/9DautFAC0UUUAFFFJmgBaKKKACiiigArlvBn+s8Q/9hi4/mK6muW8Gf6zxD/2GLj+YoA6miiigAooooAKKKKACkIzS0UAcr418E6Z430dLDUC8TRyCSG4jA3xt3x7EcEfT0qW/wBLtdF8CXum2ECxWltYSRxIvYbT+Z7k9ya6XFZPif8A5FXVv+vSX/0E0AHhj/kVtK/69Iv/AEEVrVk+GP8AkVtK/wCvSL/0EVrUAIQDjPak2CnUUAc/4u0GbxL4bvNHh1FrA3Q2vMke87cjIxkcEcHnvXC+DPgwfBviWDWLbxLNJsVkkh+yhBKhGNpO48ZwenUCvWqTjrQA1UHanAc9aB9KWgAooooA5Txv00D/ALC8H8zXViuU8b9NA/7C8H8zXVigAooooAQgGuf8V+FtO8X6FPpWpKSknzJIv3onHR19xn8Rwa6GkwPQUAYXhXwxp3hLQYdJ09MRR8vIw+aVz1Zvc/ywO1boGO9AGKWgAooooAKKKKACkIyKWigDifF/w10TxnqlhfairpNaMA5j48+Mc+Wx9M9+uCR3zXXQQxwxLFEipGg2oijAVRwAB6cVYooAKKKKACsTxd/yKGq/9ezfyrbrE8Xf8ihqv/Xs38qALHhz/kWdJ/684f8A0AVp1meHP+RZ0n/rzh/9AFadABRRRQAUUUUAFFFFABXJfEL/AJAFv/1+w/zNdbXJfEL/AJAFv/1+w/zNAHWiigUUAFFFFABRRRQAUUU1iQOBQAjnBHvXC6L8UtF1zxre+GrfO+AHybkONlwy/fVfp1B6MAx4A5wPjR8RV8PaV/YWmzEateJ+8ZT/AMe8J4JJ7M3IHcDJ44z802l5PYXsN5azNDcW8glikTqrA5BzQB9hzcfFO1BPI0o/j87V1wryP4feMF8beJbHUzD5NzHpzW90mML5oYklfYhlOO2cc9a9cFAC01mxTq5rx5rc/h7wTq2q2q5uIID5R7KzEKGPsCc/hQBtNe2wnEDXEQmY4CFxuP0HWvL/AB78X73wP4lbS5fDoniMSyw3BuwnmKep27TjDBh17e4r5nlvLma7a6lnle5Z95mdiXJ65z1rsfG/jf8A4TDw54aS63vqtgs8V3IVwJQSmxvckKc++aAPpjwd4nufEnhaHXNR05dMjnJaNGn35j6BySFxk5xx0wc810UF1DcxCWCWOWM9HRwyn8RXyF468bnxFY6JpNmXi0vTLGCMR9N0wjAZiPbG0fQnvitX4I+I73S/H9npyyt9i1HfHNDk7S20lWx0zlQM+hNAH1eDmlpq5yev406gArlvBn+s8Q/9hi4/mK6muW8Gf6zxD/2GLj+YoA6miiigAqORtuOtOZtoJOMDk1558VPiDF4M0Fre0mT+27tSLZPvGIdDKw6ADPGep9cGgC1L8T9Eh+IUXhEEtMRta6Djy1nONsX1OcZ/vEL1Jx3KnPI/nXwY0kss7TOzPIzb2diclifvE9eTX1P8JviD/wAJfowsb6VTrNmgE2Tgzp0Eg9T0DY7kdmGAD06imo24U6gArJ8T/wDIq6t/16S/+gmtasnxP/yKurf9ekv/AKCaADwx/wAitpX/AF6Rf+gitasnwx/yK2lf9ekX/oIrWoAQnAzSbxkj070yd1jiaR22og3M3oB1r5N8V/F7xRrmsTSWOqXWnWCyfuILdvKYKDwWI5JPcZx2oA+mPFmtXfh7wze6vZ6f9vktI/NaDzNnyAjcc4PRcn8DXnvgz4zX/jLxLb6TbeFxGr5eaYXhYQxj7zY8vnkgduSB3rjvAnxtuE87TfGUpuLOVCqXvl5ePj7rhR8y+hwSCecg8c/8LfGul+BYtev72N5r6SGOO0hjGN/LZBP8Iztz/I0AfV6MNvc/rTgcnHevjrVPip401S/+0tr9zbgNuSK0byUUdhgdR/vZ969t+DfxEvvGFpd6dq8ivqFkqv5wUAzITjJA4yDjkdc9KAPWaKQdKWgDlPG/TQP+wvB/M11YrlPG/TQP+wvB/M11YoAKKKKAEJwM8/hXPeL/ABZY+EPDtxq1984jwsUSsA0sh+6g9+59ACe1amo39rpdhPf3kqwW1uhkklbooHU/5618h/Ebx1ceOPEbXhEkWnw5js7dzyif3iOgZuCcegGTjNAH1J4M8X2PjPw9DqtkQjN8k8BcFoZB1Unv6g9wQcDpXSKc59q+N/h344uvA/iFbxd8ljMAl7bqeXQHqAeNy5JH4jjOa+vtN1C11OwgvbKVJradBJFKvRlPSgC5RRRQAUUUUAFNY45zSnOOBmuS8d+NbPwR4dk1GfElw2UtLfvNJj/0EdSfT3IyAUfG3xN0nwVf2NjdI089y4aVI25gh5zI3Bz04XqQD6YPZ21zDeW0VzbyJLBMgkjkQ5DKRkEEdQRXw9q2p3usapc6pqE7TXV05eRm7n0x6AYxjoMY9vWfgl8Rxp1zH4W1eYiynf8A0KZm/wBVIT9w/wCyx6ejf73AB9I0UxD2JyRT6ACsTxd/yKGq/wDXs38q26xPF3/Ioar/ANezfyoAseHP+RZ0n/rzh/8AQBWnWZ4c/wCRZ0n/AK84f/QBWnQAUUUUAFFFFABRRRQAVyXxC/5AFv8A9fsP8zXW1yXxC/5AFv8A9fsP8zQB1oooFFABRRRQAUUUUAFcn4+8Xw+C/C8+qSKr3B/dWsJPEkpHGeQcDBJ9hXVmvmn9orU5pvF2naYWJgtrLzAv+27MCfyRf1oA8p1fUrvWNTn1HULh57u4YvLK/VifQdh6AYAGAOBWcDTmJY8n3pdhA6ceuKAPbv2ejnU5s/8ATX/0FK+jBXzp+z1/yE5v+2v/AKDHX0WKAFrJ8R6PDr/h3UNInIWO8gaHdjOwkcNj2OD+Fa1IRQB8K61pN7oGsXOm6hEYru2co6jpkdGB7g8EHuDWbuwQa+q/jB8Oh4v0f+0tOQf2zZJ8gA/4+IxkmP6jJK++R3yPlV0KttIII6j0oAOXr2T4B+D7i+8Sf8JNMjJZWIZYWP8Ay1lZSpA9Qqsc+5FcJ4E8F3vjbxDFp1t8lsPnurg9IY89fdieAO59gSPsLRtMtNG0u306xhWG1tkCRovYD19T6n1zQBfUADinUUUAFct4M/1niH/sMXH8xXU1y3gz/WeIf+wxcfzFAHU0h4FLQelAGJ4n8QWfhjQLvV74nyrdMhVPzOxOFUe5PFfG3iXxBf8AifXbnVr+UPPM3AXhUUfdVR6Af4nkmvZ/2kNVmRNE0hWIgbzLmRezMMKv83/OvAD82B+NACBiG3AnPXNavh/Xb3w7rdrquny+XcwPuUnow7q3qpGQay9hAzj259aACv48YIoA+3fCHiaz8W+GrTWLI4WYYkjzkxSDhlP0PfuMHvW/Xzz+zhq8v2/WtIZnaJ40ukBPCsDsY/Ugr/3zX0KKAFrJ8T/8irq3/XpL/wCgmtasnxP/AMirq3/XpL/6CaADwx/yK2lf9ekX/oIrWrJ8Mf8AIraV/wBekX/oIrWoArXsH2myngJK+ZGyZBx1GK+Fb+zuLC9nsruIw3Fu7Ryxt1VgcEH3yK+8mXcMVyPiD4c+EvEt79u1XR4pbsgK0yyPEzcYBYoRuPQc56YoA+OYYZJCREjOwBJCjJAA54+n9fSnxwyyiQrCziJN0hC52LkAk+gycdOMj2r0r4n6xaeH9XuvCXhW0h0zT4UWO8a3H7y6ZlzteTO4qA2NucEls54rzzSNZ1DRdRivtNu3trmPo6HqO4I6EHuDwe9AFFs5zx16+le6fs6aPcC/1nWWV0tvLW0QkcO+Qxx9AF/76FdJ4M8G+BviD4ctvENz4eto7yTMd1FbSyRRrIvBwisAARhse475r1PT9PtNLsorLT7aK3t4RtjiiUKqj6D8/egC6OlLRRQBynjfpoH/AGF4P5murFcp436aB/2F4P5murFABTW6fjTqQjIoA+bfjv4v1C41w+GEjmtrC32SyZ4+0sRlTnuoPA9wfQV4s59MYz09K+vPij8P4fG2g5hCpq9rlrWU4Ab1RvY4H0PPTNfJVzbzWtzJa3EbwzRMUkjcEFGBOQR2I5FAFccnH869s+AvjHUbbWf+EWkikuNPuA80TDJ+ysBuY+yHjI9SPU143a28tzcxwW8Uks8riOOONSzOxOAAO5PTHvX1n8L/AIew+CNAzOqPrF2A13LnO0do19h39TntjAB6CtLTV6dadQAUUUUAQzSeXGz7WfAztXqfYe9fGnj/AMX6j4v8TT3l8kkCxkww2jf8sEB+6R/ez146/QAfZzHmvBvjb8NQ6TeLdIh+dfm1CCNc5H/PYAf+Pe3PY5APn0nI+lOQEkY69uaCvPAro/BvhK88ZeIYNKs8qG+eabbkQxjG5j9M8DucDjOaAPor4L+ML7xX4Xli1GOZ59PZIftbj5ZwQcc93GOfYqepNenZwKytB0Ow8N6LbaXp0Xl29uu0DqSTyWY9yTyTWH8RvGkXgjww9/5fm3UreTaxEfK0hB+97AAn3xjvQB2OeaxfF3/Ioar/ANezfyrzX4O/E648TE6DrUzS6mgaWGfH+uTOSGx0Ze3Yj3Fek+LTnwhq3tbv/KgCz4c/5FnSf+vOH/0AVp1meHP+RZ0n/rzh/wDQBWnQAUUUUAFFFFABRRRQAVyXxC/5AFv/ANfsP8zXW1yXxC/5ANt/1+w/zNAHWiikFLQAUUUUAFFFFACN06Zrw347eBNT1q5svEOlWst2YYPs9zDCpZwoYsrBRyfvMDgccdske5mmsgYc0AfDWmaBqmr6gtlp+n3FxcucCNEJx05PoACCSeB3r23xJ8F7hfhjplnpyRT65YO00pjXb5/mY3KCcZ24QAnkhegJxXvG3045zS7R6D8qAPnv4D2Vzp+uXFtd20tvOnmh4pUKMp2p1B5FfQgrkZx/xdW29tKP/obV1woAWiiigBrDvXzn8avhxNbazHr+jWbyw38wS5hhQsVnY8EAf3yQO3OPWvo6kIzQBxvw78EweCfDEVkBG2oTHzryZB9+TGMA/wB0dB+JwMkV2QGKAuCfeloAKKKKACuW8Gf6zxD/ANhi4/mK6muW8Gf6zxD/ANhi4/mKAOpoNFFAHkvxw8EX3ijRbPUdLiM95p2/dbquXljbGdvqQVHHcE45wD832+iandXa2dtp1zNdE7fKSJmbPpjHt+GDmvukjNN2Dvz65HWgDwmL4MXQ+E0mnPHD/wAJI84vVAK8ELtEBfv8pPP3dx64Ga8PvNE1DTtRFhe2NzDdbtogeMhmOegHf8Ovbtn7m2fmRg07FAHj3wN8C6h4Zsb7VdXt2trq+CJFA4w8ca5J3DsSSODyNvvXsIoC0tABWT4n/wCRV1b/AK9Jf/QTWtWT4n/5FXVv+vOX/wBANAB4Y/5FbSv+vSL/ANBFa1ZPhgf8UtpX/XpF/wCgitagAprEAc9OlOoxQB8y/GX4f6vB4pvNfsbGW6067xI7QIzmB8ANuAHAJBOenP5+XaVo2pazdrZ6ZY3F1cOeEhQtjtzjoOeSelfdO0Uu2gDjfhr4Tk8G+DrbTLhla8ZnnuWUkrvbHA+ihR7kE12dNVQvTFOoAKKKKAOU8b9NA/7C8H8zXViuT8b/APMA/wCwvB/M11goAKKKKAEIzXinxr+Go1W2bxNpEI+3QL/pkKrzPGP4xjqygdO6j/ZAPtlNZdwxnFAHh3wS+HP9n28XirVocXUy5sYWGDGhH+sI9WB49F/3uPcVXA6ClCgUtACAYpaKKACiiigBDUUqqy7TjB6gjjHvU1IQDQB8s/E74W3Wh+JbeTQ7R59O1ObZbwxLzDKefKPoO4/H0r3D4c+BYPBPh1bbKS6jcYe7uFH3mxwqn+6vQficDOB2hXnORntxQqge/v3oAXFYvifw7YeKtBudK1CPdDMOGC5aNuzL7g/1rcqtdXEVraS3M8ixwwoZHduiKBkn8BQBwPw18B6f4Cgkt57q2uNbuSTK6kZ2AnCoDzjAyfU/Sur8Wgf8Ihqv/Xs/8q89+FVvP4o8Ta74/vkYC7kNtYK38EIx0/AKv1DV6F4uGPCGq/8AXs38qALPhz/kWdJ/684f/QBWnWZ4c/5FnSf+vOH/ANAFadABRRRQAUUUUAFFFFABXJfEH/kX4D6XkRP5mutrG8T6T/bfh+6sUYJK6homPZ1OV/UY/GgDXWnVzPhzxLFqkS2t3i21WIbZ7d/lJbuV9Qa6RWz3zQA6iiigAooooAKKKKACiikPSgDkrr5PijZu3CyaayKfUh2JH5V1inNcv4ts7qOaw13T4/NudNdmaHoZI2HzAe+M1qaNrlhrdss1lMr8DdGeHjPow7EdKANaikBpaACiiigAooozQAUUUUAITgVyvgxh9o8RJ3Grzn8yK6hz2HXtXFT3J8JeKbi5udw0jUyGMu3iCYdcnsDyf/1UAdxRVe3uYrmFZIJUlRhkMjZBFTigBaKKKACiijNABRRRQAVk+JgW8LasFGSbOXA/4Aa1qguIkngeGQZjkUo49QRg0AUPC7BvC2lEHI+yx/8AoIrWrhvD+qDwzM3h7V3EIjY/ZLhziORCc4yeAefWu2Rtw9R2NAD6KKKACiiigAoozRmgAooooA5PxuONBJ+6NWgyf++j/SurBzWF4q0iTWNEeGAhbqJ1ntyTgB1/+tkfjUXh3xNba1biORxDqMQ23Fq/yujDg8HtnP8ALqKAOjopoOadQAUUUUAFFFGaACiiigAooooAKKKKACiiigBCcV5Z8cvEcmk+EYdIt5BFPq8vkNKxIVIhgvlu2cqPoTXqZ5qlqGk6fq0Ah1KxtbyIHIS5hWRQfoRQBxHh3xx4A0HQ9P0Wy8QWpjto1hTCtlz3JwOpOSfcmup8WY/4RLVMkAfZ2HXNQHwR4SjYOPDGigg5BGnxAj3ztrJ8R6kPEMg8N6S4maVv9LnQ5SFAckZ7np09KAOk8OZ/4RjSdwwfscOQex2CtWooYlihSNBhEUKo9h0qWgAooooAKKKKACiiigApCM0tFAGPqvhrSdbKnULNJXX7sgJVx+IxWX/wgGksT/pGoBeyi5OB9K6yigDkv+FfaT/z86j/AOBJ/wAKP+FfaT/z86j/AOBJ/wAK62igDkv+FfaT/wA/Oo/+BJ/wo/4V9pP/AD86j/4En/CutooA5L/hX2k/8/Oo/wDgSf8ACj/hX2k/8/Oo/wDgSf8ACutooA5L/hX2k/8APzqP/gSf8KP+FfaT/wA/Oo/+BJ/wrraKAOSHw+0kHIudR/8AAk1AfhnoW7cJL0PnO4TAH+VdpRQBxv8AwrnSyf8AkIar/wCBA/8AiaX/AIVxpf8A0ENV/wDAgf8AxNdjRQBx3/CuNL/6CGq/+BA/+Jo/4Vxpf/QQ1X/wIH/xNdjRQBx3/CuNL/6CGq/+BA/+JoHw60tT/wAf+qH/ALeR/wDE12NFAHJf8K+0j/n51E/9vJ/wo/4V9pP/AD86j/4En/CutooA5L/hX2k/8/Oo/wDgSf8ACmn4d6Oy7WuNQZcYwbg4rr6KAOMX4a6NGB5VxqEYxj5JwP8A2Wl/4Vxpf/P/AKr/AOBA/wDia7KigDjv+FcaX/0ENV/8CB/8TR/wrjS/+ghqv/gQP/ia7GigDjv+FcaX/wBBDVf/AAIH/wATR/wrjS/+ghqv/gQP/ia7GigDj0+HmkqObvUm+tx/gKePh9pH/PxqP/gSf8K62igDkv8AhX2kdrnUf/Ak/wCFH/CvtJP/AC86j/4En/CutooA49/hxokuBLLfOB0DT5x9OKYvw20eMFYrvUYl6lUnAB/8drs6KAOO/wCFcaX/AM/+qf8AgQP/AImj/hXGl/8AQQ1X/wACB/8AE12NFAHHf8K40v8A6CGq/wDgQP8A4mj/AIVxpf8A0ENV/wDAgf8AxNdjRQBx3/CudL/6CGq/+BI/+JqRfh5pIGDd6k31uf8A61dbRQByX/CvtJ/5+dR/8CT/AIUf8K+0n/n51H/wJP8AhXW0UAcl/wAK90jj/SdR4/6eT/hUMnw10OQ7ne9ZvUz5P6iuzooA40fDnSyONQ1TA6D7QvH/AI7S/wDCuNL/AOghqv8A4ED/AOJrsaKAOO/4Vxpf/QQ1X/wIH/xNH/CuNL/6CGq/+BA/+JrsaKAOO/4Vxpf/AEENV/8AAgf/ABNA+HOlg/8AH/qh/wC3gf8AxNdjRQByK/D3SMc3Oon3+0n/AApf+FfaT/z86j/4En/CutooA5L/AIV9pP8Az86j/wCBJ/wo/wCFfaT/AM/Oo/8AgSf8K62igDkv+FfaT/z86j/4En/Cj/hX2k/8/Oo/+BJ/wrraKAOS/wCFfaT/AM/Oo/8AgSf8KP8AhX2k/wDPzqP/AIEn/CutooA5L/hX2k/8/Oo/+BJ/wo/4V9pP/PzqP/gSf8K62igDkh8PdFIKytezIRyklwxB/LFb2m6TY6Vb/Z7G1jgj4yFHJ+p6n8av0UAIBg0tFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAf/2Q==",
"path": null
}
|
"$\\boxed{13}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Three of the cards shown will be dealt to Nadia, the rest to Riny. Nadia multiplies the three values of her cards and Riny multiplies the two values of his cards. It turns out that the sum of those two products is a prime number. Determine the sum of the values of Nadia's cards.\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
317
|
Two rectangles form the angles $40^{\circ}$ and $30^{\circ}$ respectively, with a straight line (see diagram). How big is angle $\alpha$?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two rectangles form the angles $40^{\\circ}$ and $30^{\\circ}$ respectively, with a straight line (see diagram). How big is angle $\\alpha$?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - angle"
|
MathVision
|
318
|
The faces of the prism shown, are made up of two triangles and three squares. The six vertices are labelled using the numbers 1 to 6. The sum of the four numbers around each square is always the same. The numbers 1 and 5 are given in the diagram. Which number is written at vertex $X$?
<image1>
|
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"path": null
}
|
"$\\boxed{2}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The faces of the prism shown, are made up of two triangles and three squares. The six vertices are labelled using the numbers 1 to 6. The sum of the four numbers around each square is always the same. The numbers 1 and 5 are given in the diagram. Which number is written at vertex $X$?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
319
|
On an idealised rectangular billiard table with side lengths $3 \mathrm{~m}$ and $2 \mathrm{m}$ a ball (point-shaped) is pushed away from point $M$ on the long side $A B$. It is reflected exactly once on each of the other sides as shown. at which distance from the vertex $A$ will the ball hit this side again if $B M=1.2 \mathrm{~m}$ and $B N=$ $0.8 m$?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "On an idealised rectangular billiard table with side lengths $3 \\mathrm{~m}$ and $2 \\mathrm{m}$ a ball (point-shaped) is pushed away from point $M$ on the long side $A B$. It is reflected exactly once on each of the other sides as shown. at which distance from the vertex $A$ will the ball hit this side again if $B M=1.2 \\mathrm{~m}$ and $B N=$ $0.8 m$?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
320
|
$A B C D E F$ is a regular hexagon, as shown in the diagram. $G$ is the midpoint of $A B. H$ and I are the intercepts of the line segments GD and GE respectively, with the line segment FC. How big is the ratio of the areas of the triangle GIF and the trapezium IHDE?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "$A B C D E F$ is a regular hexagon, as shown in the diagram. $G$ is the midpoint of $A B. H$ and I are the intercepts of the line segments GD and GE respectively, with the line segment FC. How big is the ratio of the areas of the triangle GIF and the trapezium IHDE?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
321
|
Archimedes has calculated 15!. The result is on the board. Unfortunately two of the digits, the second and the tenth, cannot be read. What are the two missing digits? (Remark: $15 !=15 \cdot 14 \cdot 13 \cdot \ldots \cdot 2 \cdot 1$ )
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Archimedes has calculated 15!. The result is on the board. Unfortunately two of the digits, the second and the tenth, cannot be read. What are the two missing digits? (Remark: $15 !=15 \\cdot 14 \\cdot 13 \\cdot \\ldots \\cdot 2 \\cdot 1$ )\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"arithmetic"
|
MathVision
|
322
|
The flag of Kangoraland is a rectangle which is split into three equal rectangles as shown. How big is the ratio of the side lengths of the white rectangle?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The flag of Kangoraland is a rectangle which is split into three equal rectangles as shown. How big is the ratio of the side lengths of the white rectangle?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
323
|
The numbers $1,2,3$ and 4 are inserted into different cells of the $2 \times 2$ table shown. Then the sums of the numbers in each row and column are determined. Two of these sums are 4 and 5. How big are the two remaining sums?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
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"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The numbers $1,2,3$ and 4 are inserted into different cells of the $2 \\times 2$ table shown. Then the sums of the numbers in each row and column are determined. Two of these sums are 4 and 5. How big are the two remaining sums?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
324
|
A rectangle is coloured in five different ways as shown. In which picture is the grey area biggest?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A rectangle is coloured in five different ways as shown. In which picture is the grey area biggest?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
325
|
Three triangles are connected to each other as shown. In which of the following pictures are the three triangles connected in the same way?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Three triangles are connected to each other as shown. In which of the following pictures are the three triangles connected in the same way?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"topology"
|
MathVision
|
326
|
Three four-digit numbers are written onto three separate pieces of paper as shown. The sum of the three numbers is 11126. Three of the digits in the picture are hidden. Which are the three hidden digits?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Three four-digit numbers are written onto three separate pieces of paper as shown. The sum of the three numbers is 11126. Three of the digits in the picture are hidden. Which are the three hidden digits?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
327
|
Each side of a die is marked with either 1,2 or 3 dots so that the probability of rolling a 1 is equal to $\frac{1}{2}$, the probability of rolling a 2 is equal to $\frac{1}{3}$ and the probability of rolling a 3 is equal to $\frac{1}{6}$. Which of these pictures cannot be a picture of this particular die?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{C}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Each side of a die is marked with either 1,2 or 3 dots so that the probability of rolling a 1 is equal to $\\frac{1}{2}$, the probability of rolling a 2 is equal to $\\frac{1}{3}$ and the probability of rolling a 3 is equal to $\\frac{1}{6}$. Which of these pictures cannot be a picture of this particular die?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
328
|
A cuboid-shaped container that is not filled completely contains $120 \mathrm{~m}^{3}$ of water. The depth of the water is either $2 \mathrm{~m}$ or $3 \mathrm{~m}$ or $5 \mathrm{~m}$, depending on which side the container is actually standing on (drawings not to scale). How big is the volume of the container?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A cuboid-shaped container that is not filled completely contains $120 \\mathrm{~m}^{3}$ of water. The depth of the water is either $2 \\mathrm{~m}$ or $3 \\mathrm{~m}$ or $5 \\mathrm{~m}$, depending on which side the container is actually standing on (drawings not to scale). How big is the volume of the container?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
329
|
The system shown consists of three pulleys that are connected to each other via two ropes. $P$, the end of one rope, is pulled down by $24 \mathrm{~cm}$. By how many centimeters does point $Q$ move upwards?
<image1>
|
{
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"path": null
}
|
"$\\boxed{6}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The system shown consists of three pulleys that are connected to each other via two ropes. $P$, the end of one rope, is pulled down by $24 \\mathrm{~cm}$. By how many centimeters does point $Q$ move upwards?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
330
|
The diagram shows two adjoining squares with side lengths $a$ and $b$ (with $a<b$). How big is the area of the grey triangle?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The diagram shows two adjoining squares with side lengths $a$ and $b$ (with $a<b$). How big is the area of the grey triangle?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
331
|
The points of intersection of the network of bars shown are labelled with the numbers 1 to 10. The sums $S$ of the four numbers on the vertices of each square are
all the same. What is the minimum value of $S$?
<image1>
|
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"path": null
}
|
"$\\boxed{20}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The points of intersection of the network of bars shown are labelled with the numbers 1 to 10. The sums $S$ of the four numbers on the vertices of each square are\nall the same. What is the minimum value of $S$?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
332
|
A path $D E F B$ with $D E \perp E F$ and $E F \perp F B$ lies within the square $A B C D$ as shown. We know that $D E=5, E F=1$ and $F B=2$. What is the side length of the square?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A path $D E F B$ with $D E \\perp E F$ and $E F \\perp F B$ lies within the square $A B C D$ as shown. We know that $D E=5, E F=1$ and $F B=2$. What is the side length of the square?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
333
|
Three circles with radius 2 are drawn in such a way that each time one of the points of intersection of two circles is identical with the centre of the third circle. How big is the area of the grey zone?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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",
"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Three circles with radius 2 are drawn in such a way that each time one of the points of intersection of two circles is identical with the centre of the third circle. How big is the area of the grey zone?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
334
|
Numbers are to be placed into the square grid shown, so that each of the numbers $1,2,3,4$ and 5 appears exactly once in each row and in each column. Furthermore sthe sum of all numbers in the three black-bordered sections should always be the same. Which number has to be written into the top right cell?
<image1>
|
{
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sxBRhc8etAGsQcUnXmsz+2oyOE/Wl/tqIfwfrQBfmhSeNkkQMjDBVhkGm29tDbIVhjSNf9kYFUhrMWwkp+GaG1mMJxHn2zQBp44xSisr+2YgcbPfrQdaiCH5Dn60Aahr56+KJ/wCLsaae3lL/ADFe5DV4dqkr16814R8SblLr4p6a4QjCKP1FAH0Nbf8AHrD/ALg/lU1Q23/HrD/uD+VTUAFFFFABRRQelAHiXxvJFi2ehz/Otf4K2sL+FnLxKSSOv0rI+Nx/4l5AyeD1+tbvwRXHhR+SeR/KgD0cWFt/zxWl+w23/PFanFLQBX+w22f9StH2G2/54rViigCv9htv+eK0fYbb/nitWKKAK/2G2z/qVqjqdtbxQKRAvWtas7V8fZlz60AFlaWzWkZMS5xU/wBhtv8AnitJY4+yJirPpQBB9htgOIVo+wW3/PFas0UAVvsNt/zxWl+w23/PFasUUAVvsFt/zxSkFhag58hKtUnrQBx/i3whpWsWyyXNvGxBC8is6D4SeGvKXdYwHIBzsrrNbJFnx03itG3JMKf7ooA4b/hUnhn/AJ8IP++KD8JPDP8Az4Qf98V31FAHA/8ACpPDP/PhB/3xR/wqTwz/AM+EH/fFd9RQBwP/AAqTwz/z4Qf98Uf8Kk8M/wDPhB/3xXfUnNAHA/8ACpPDIP8Ax4Qf98V478afCWl+Fzp32CJIzKDkKuOhr6fOcV8//tGMS+kjC8Bv5mgD0n4b2du/hK1ZoV3GNea7D7Bbf88VrlPhqVPhO1wT/q169K7SgCt9htv+eK0fYLb/AJ4rVmigCv8AYbb/AJ4rR9htv+eK1YooAr/Ybb/nitH2G2/54rViigDD1e0t0a2xCvMlaEdhahAfJXJFU9ZJL2wxx5lacIIiXPXFAEYsbb/nitL9htv+eK1OKWgCv9htv+eK0fYbb/nitWKKAK/2G2/54rSGxtuP3K1ZooAqmxtiOYVrwH4npHH8V9MEahV8ten1FfQ56V88/FHH/C2NM/65L/MUAfQNt/x6w/7g/lU1Q23/AB6w/wC4P5VNQAUUUUAFFFFAHifxw50/8D/Otv4Ig/8ACJvz3H8qw/jef+JfwdvB/Hmtz4Iknwo+Rjkc/hQB6gOlLSCloAKKKKACiiigArN1gf6MvHetKs/Vzi2X/e6UAS2JxZx8das4qtYktaR9qsjGaAHUUUUAFFFFABSetLTe9AGZrpzY4xj5xWhbjEEYz/CKztcVvsec5+ccVoW5PkJkYO0UATUUUUAFFFFABRRRQA09K+fv2jNu/ScKeh5/OvoE9q+fv2jAA+knfk4PH50AeofDTP8AwiFrkg/IvSuzrjPhpn/hEbXK4+Ra7OgAooooAKKKKACiiigDH1pjvtQB/wAtRWpG2UXPoKzNZbDWuBk+ZWnHkxL64FAD+9LSD3paACiiigAooooAQivnn4pD/i7Gmf8AXJf5ivoevnj4pf8AJWNL/wCuS/zFAH0Dbf8AHrD/ALg/lU1Q23/HrD/uD+VTUAFFFFABRRRQB4l8bz/xLsY7H+dbnwRIPhRxz1H8qw/jf/yD+cng/wA63fgl/wAim/I6r/KgD08UtIKWgAooooAKKKKACs7Vxm3Qf7VaNZur/wCoTj+KgCewGLOOrI61WsgfskWTk+oqz3oAdRRRQAUUUUAFNp1NoAzNcJNkB/titCAYgTn+EVn61j7FwMHeOa0LfPkJk5+UUAS0UUUAFFFFABRRRQA09BXz7+0WP3mlcDo39a+gj0r5+/aMKeZpOAd2D/WgD1H4bHPhG05PEa/yrsq434a/8iha5OTsX+VdlQAUUUUAFFFFABRRRQBj6yMSWpHJ8ytOI/uxnjgVm6yAslq3fzK04zmMfSgB/elpoA9adQAUUUUAFFFFABXzx8Uv+SsaX/1yX+Yr6Hr54+KX/JWNL/65L/MUAfQNt/x6w/7g/lU1Q23/AB6w/wC4P5VNQAUUUUAFFFFAHiXxu40/g44P863fgiAPCj4GOR/KsL43caeeOx/nW58EV2+E3G7OSv8AKgD1AYpaaOlLQAtFJRQAtFJSZFADqz9W/wCPZfTNX/xrO1cn7MMetAE9gMWke3gelWe9VbAj7Ghz2q1mgB1FNzSg0ALRSGjNAC000tJjGT1oAy9bP+hYJ/jHFaMACwxgf3RWfrQX7Fk9dwxV62/4905zwKAJ6KbmlFAC0Uh9KAe1AC0UlGeaAEPSvn/9oxVV9Jw3GD8v519AMeK+ff2i8+bpQ2jof60AeofDQAeEbU7SPkWu0rjPhrgeEbUZ/gX+VdkKAFopKKAFopKKAFopKKAMnWcFrUZ/5aVpp8qKBzxWZrShmtsHnzK04wRGAccAUAO706m0uTQAtFJzSZoAdRTc0ZxQA6vnj4pf8lY0z/rkv8xX0J2JzXz18Uufivpo/wCmS/zFAH0Fbf8AHrD/ALg/lU1Q23/HpD/uD+VTUAFFFFABRRRQB4l8b939m89MHH51w/gb4ry+GdIazWFm5GMJntXdfG5iNMZT6HH51B8J/A2gax4ce4vbPzJMjnPtQBS/4X7cf8+z/wDfk0f8L9uf+fVv+/Jr00fC/wAKD/mHf+PUv/Cr/Cv/AED/APx6gDzH/hftz/z6t/35NH/C/bn/AJ9W/wC/Jr07/hV/hX/oH/8Aj1H/AAq/wr/0D/8Ax6gDzE/H25/59W/78mj/AIX5c/8APs3/AH5Nenf8Kv8ACv8A0D//AB6k/wCFYeFP+gf/AOPUAeZH4+XX/Ps3/fk1Dc/HucrtaDB7AxYr1I/DDwqT/wAeH/j1eUfGrwjougaPBNptv5UjS4JznigD1Lwb41TXdBgupIny65+ROK3112IE5il/75Ncf8GYYj4AsG2cmPnNehi3i5G2gDN/t2HB/dS/98mj+3otufKl/wC+TWl9li/u0fZov7tAGadeix/qpf8Avk0HXosf6qX/AL5NaX2aL+7R9li/u0AZv9vREf6qX/vk0ra5ECMRy4/3TWj9mi/u8Un2aL+7QBz2ravbyWvEc2dw6qauxa7DHbqGik4A/hNP1qFBY8Lj5xV6K3j8lBtB+UdqAKA12Hg+VN/3yaX+3od/+qmx/umtPyI+PlFJ9nj/ALooAzf7dhLj91L/AN8mga7AGP7qX/vk1pfZov7tH2WL+5QBm/27Fg/upf8Avmj+3Ysf6qXP+6a0vssX9yj7LF/doAzP7egx80Uv/fJrwz4+3q3smnCKGQEbs5U+9fQ32aMY+Xoa5rxZ4a0vWkia+tw5TpQB4r4e+M1xoukxWQt2xGoH+rJzxWsPj5df8+zf9+TXpFv8MfCzQIx0/kj1qb/hV/hX/oH/APj1AHmP/C/bn/n1b/vyaP8Ahftz/wA+rf8Afk16d/wq/wAK/wDQP/8AHqP+FX+Ff+gf/wCPUAeY/wDC/bn/AJ9W/wC/Jo/4X7c/8+rf9+TXp3/Cr/Cv/QP/APHqP+FX+Ff+gf8A+PUAeY/8L9uf+fVv+/JoPx9uf+fVv+/Jr07/AIVf4V/6B/8A49R/wq/wr/0D/wDx6gDye6+Okt1PbhoCux92DHivYND8XxappFveNFLmRc8Ia8L+LPh3TNC1q3j0+38pfMUdfavc/AUMZ8F6a2wcxelAGl/b9v8A88Zv++TQNftyp/cz/wDfJrT8iL+4PyoMEbEEqMjpxQBmDX7crnyZvxU0HX4AufJmI/3TWmbeMnJUE/SgQIG3bRn6UAZh16AKCYZsH/ZNH9vwcDyZuf8AZNaYt4wxIUZNAt4xxtGPTFAGZ/bsHOYpuP8AZNeEfEa8S7+Kemuiuv7tRhhjuK+iTbR/3K+fviiMfFjTBxjy1x+YoA+gbb/j1h/3B/Kpqhtv+PWH/cH8qmoAKKKKACiiigDxP43jOn8DPB/nW18EQR4TkG4nkfyrF+N5P9nntwen1rb+CJY+FHBx1H8qAPUB0paQUtABRRRQAUg60tJ3oATvXiX7QZxoNtlcfvh/Svbs14h+0J/yA7Xk/wCuH9KAOp+DO0fD+wAJyYxxXow6mvO/g2T/AMIBp/A/1Qr0TuaAFooooAKKKKAA9KbTqSgDL1xiLLAH8YrQgBECc/wis/XD/oOB3cVoW+fIjyf4RQBLRRRQAUUUUAFFFFAAaydZ4Ra1qyda/wBWtAGha/8AHtF/u1NUNqf9Gi/3amoAKKKKACiiigAooooA+dvjkP8Aif2/P/LUfyr2L4f8eB9L5z+6FeO/HIH+37fH/PUfyr2L4fEnwPpecf6oUAdNS0nFLQAUUUUAFFFFABXzx8Uv+SsaX/1yX+Yr6Hr54+KX/JWNL/65L/MUAfQNt/x6w/7g/lU1Q23/AB6w/wC4P5VNQAUUUUAFFFFAHiXxvP8AxL+OOD/Otz4It/xSbjHcfyrD+N2P7PO4Z4P863Pgnz4UfnPI/lQB6gKWkHSloAKKKKACkpaQUAIa8S/aDJGg2wBH+ur20/TNeI/tBqTodqQuP3w/pQB1XwaGPAGn8EHy69F71518Gvm8Aaf82cRCvRO+aAHUUUUAFFFFABSZ5paaaAMzW8/Ygc5w4rQtzmBM/wB0Vna5/wAeOAuDvHNaNuCIEBOflFAEtFFFABRRRQAUUUUAFZOs/wCrWtasrWf9WtAF+1H+jRf7tTVDa/8AHtF/u1NQAUUUUAFFFFABRRRQB87/ABxIGv2/H/LVf5V7D8PyD4H0zjH7oV478cjjX7f5v+Wq/wAq9i+H7BvA+l8/8shQB01LSCloAKKKKACiiigAr54+KX/JWNL/AOuS/wAxX0PXzx8Uv+SsaX/1yX+YoA+gbb/j1h/3B/Kpqhtv+PWH/cH8qmoAKKKKACiiigDxL43/APIPPuDW78EgF8Jv06r/ACrC+NwJ0/jjg5rc+CQA8KSYznK/yoA9QFLSDpS0AFFFFABSClpBQAhPFeI/tCNjQrXBP+vr24g14j+0Ix/sK1HH+uoA6r4MrjwBYHHWL/CvRD3rzr4M/wDIgWHP/LOvRj3oAXtRR2ooAKKKKACmnpTj0pvNAGXran7FnJ++K0LbPkJnrtFUNa3fY8Z43itGAYgT/dFAElFFFABRRRQAUUUUAFZOtH92tax6Vka1/q1oA0bX/j1i/wB2pqgtP+PWL/dqegAooooAKKKKACiiigD52+OPOv2/H/LVf5V7F4AGPBGl8D/UivHfjlg6/bgg/wCtH8q9i+H42+B9Lxn/AFIoA6YUtIKWgAooooAKKKKACvnj4pf8lY0v/rkv8xX0PXzx8Uv+SsaX/wBcl/mKAPoG2/49Yf8AcH8qmqG2/wCPWH/cH8qmoAKKKKACiiigDxH4386eec8Hp9a3vgjn/hE3z6r/ACrC+OGRp2TgcHp9av8Awa1KO38KPuB4I/lQB66KMisca5Ew4U0f25FuYAcY44oA2c0ZrH/tuIEDBpDrcYGQvNAGzmkrI/tuIAkDjsaP7biyMA+9AGvXiH7QW3+wrb5f+Ww7/SvV11xGBBGD2rx748Xq3mi2yoGJEo7fSgDs/gyCfAGnc8eV0r0X1r5f8IfF668M6FFYR6cj+Su0E5reP7QN8U50qIH8aAPoPoKXNfPZ/aBvgA39lR59OaD+0DfcN/ZUWfTmgD6EozXz2f2gr3cGGlxk+nNH/DQN6HDf2VEQeoyaAPoTtTa+fv8AhoC9EhP9mRbT25pv/DQN+uVGkxHP1oA9x1tc2WRkHcOavwAiFATkhRXzxdfHq6u40ik02NAWBzk1634Y8XnWNCivJIgjMduBQB2NJkVkNrahfu9OTSLrahhuXg+1AGzmisb+21HGzmg65GRwvI68UAbGRS1ijXE/iXig64uflTP1oA2fasrWh8i0064hXheazdU1dZI1yuKAOjtP+PaL/dqfNYcGsolvGMfw+hp662meRQBsZApax11yMsQyY9KQa0mDhefSgDZzRWMutptOBlvSlXW4z259MUAbFHasf+3IiDgfpSDW4/MAOcYoA8O+ORzr9vhv+Wi/yr2P4fg/8IRpYY/8shXiXxtvVm1eGSJCSrjPBpuhfHC/0fR7SxXS0YRLtyQaAPpWlr57b9oG+H3dLjPr1o/4aCvyQf7Ki9O9AH0JRXz2f2g77gDSYv1pR+0Ffc50mL8zQB9B5ozXz1/w0HfZz/ZMX0yaUftBXzDnSouvHWgD6D3Dn2r56+KYK/FjS8j/AJZL/MUf8NA35DD+yYvfrXI6h4xm8aePLC/mtlgZAqbR9aAPq62/49Yf9wfyqaobb/j1h/3B/KpqACiiigAooooA8S+N2Bp525zg9frW18FER/Cr5RTyOo9qxfjf/wAg/wBeD/Ot34I4/wCETfnuv8qAPSxBEP8Alkn/AHyKQW8Ix+7T/vmpaXFAEXkQ5z5af980eRCf+Waf981LijFAEXkQ4x5aY/3aTyIf+eaf981NijFAEIgiGT5SZ/3aw/EWgabqtuguoUIDZ+6K6HFZ+rgfZl470Ac1bfD7QJbdG+zLz/sCrP8Awr3QMj/Rl/75FdFY4NpHtGBirIFAHKf8K80Ddn7Mv/fIo/4V5oGc/Zlz/uiutxRigDkf+FeaDv3fZV/75FKPh5oIYn7Kn/fIrrcUYoA5IfDzQck/ZU/75FH/AArzQQhUWq5P+yK6zFJ+FAHzj8Z/Den6RPbvaRIgwvAXGea9W+F6RP4Lt/3Sn5j1Fef/AB8bFxagjjavP416N8LiD4Ltz/tGgDr/ACYv+eSf980hgiJB8teP9kVNRigCLyYs58pP++RSeRFk/uk5/wBkVNikxQBF5MWf9UmP90Uvkxf88k/75FS4pMUAR+RFg/u0/wC+ay9YhjEa4RP++a2McVl6z/q1oAtW8ERtoz5an5fSpPs8QOfKX/vkUWv/AB7Rf7tT4oAh8iIn/Vp/3zR5Ef8AzzT/AL5FTYooAh8iLPEaf98ijyIh0jT/AL5qXFLigCEW8I6Rpz/s0eRFn/Vpn/dqbFJjmgDlPFHhvTNUktmuYE3GQc7RSf8ACvdCKqPsqDb/ALArV1tQxtfUSitSMkoCRQBy/wDwr7QsY+yp/wB8ij/hXug5z9kTpj7orqhTqAOT/wCFfaEFA+ypx/sij/hX2hf8+qf98iusoxQByn/CvtBzn7KnT+6Kb/wr7QgB/oqcf7IrrcUmKAOSb4e6DhibZefRRXjPj3SLLRfidpsFkgSNo1YgDHORX0mRxXzz8Uv+SsaZ/wBcl/mKAPoG2/49Yf8AcH8qmqG2/wCPWH/cH8qmoAKKKKACiiigDxL43AHT+uOD+PNbvwSGPCb8Y5HP4VhfG7/kHduh/nW78EQR4TcnPUfyoA9PFLSCloAKKKKACiiigArP1ZttuOM5NaFZ2scW6H0agCbT8/Yo+O1War2JzZx1YoAcKKKKACiiigApo7U6m96APB/j6QZrYd8L/OvRPhZn/hCrfI/iNeefHzHn2pz2B/WvRPhac+CrfH940AdrRRRQAUUUUAFFFFABWVrP+rWtWsrWf9WtAF+1/wCPaL/dqaobX/j2i/3amoAKKKKACiiigAooooAyNZB323/XStSPOxee1ZOtbhJa+hlwK1owRGuTzigBwpaSloAKKKKACiiigAr54+KX/JWNL/65L/MV9D188fFL/krGl/8AXJf5igD6Btv+PWH/AHB/Kpqhtv8Aj1h/3B/KpqACiiigAooooA8S+N4P9n9M8H+dbnwR3f8ACJvk55HH4VifG4kacdpxkH+dbfwRJPhN+Mcrz+FAHqA6UtIKWgAooooAKKKKACs7VwDbLkd60azdYz9nQDu1AE1gMWkeeeDzVqq1gMWceOB6VZ70AOooooAKKKKACmnrTqaaAPBvj4q+fanodo/nXovwr/5Eq3yc/Ma86+PYzcWoLZ4HH416N8LQB4Lt8f3jQB2tFFFABRRRQAUUUUAFZWs/6ta1aytZP7taAL9r/wAe0X+7U1Q23/HtF/u1NQAUUUUAFFFFABRRRQBj651s8dpa1IzlBWXrIIe1PUeZWpGcxqfagB4paQUtABRRRQAUUUUAFfPHxS/5Kxpf/XJf5ivoevnj4pf8lY0v/rkv8xQB9A23/HrD/uD+VTVDbf8AHrD/ALg/lU1ABRRRQAUUUUAeJfG7/kHduh/nW58EWH/CJv8AUfyrE+N206f83PB/nW58EgP+ETfp1H8qAPTxS0g6UtABRRRQAUUUUAFZ2rn/AEdD23Vo1m6sM26cc7qAJ7E5tI8VZ71XsifssWTk1Y70AOooooAKKKKACm06m9TQB4P8fAPPtef4V/nXonwrAHgqDBJ+Y15z8fM/abMf7K/zr0j4XADwVb/7xoA7SikzS5oAKKKM0AFFFFABWTrP+rStU1la0rmJSgPvxQBftiPs0X+7U9V7XP2SLOM4qegBaKKKACiiigAooooAx9ZY77YEceZWnGcxDgdKzNZYGS2BU4ElacZXywVzgigCQdKWminUAFFFFABRRRQAV88fFL/krGl/9cl/mK+h6+ePil/yVjS/+uSj9RQB9A23/HrD/uD+VTVDbf8AHrD/ALg/lU1ABRRRQAUUUUAeJfG/aNOJ6cH+dXfgzftB4WkAty3I7+1Uvjc2dN2gDOD/ADra+CiRt4UfKgnK/wAqAO6OsyDpaPmj+2psf8eUlahhTghAKXYg420AZX9sz/8APjJ+Yo/tmc/8uMn5itUomOlAjUdqAMr+2p/+fGT8xS/21N/z4yfmK1PKX+7QI1/uCgDJXW5iTmyk/MVU1HVpJbRT9kkHzV0IiQA/IKz9UhQWq8YGaAKlnq8i2sYW0dj9am/tqbP/AB4yZ+oq5Yxp9lQ7RVny0z90UAZX9tT/APPjJ+Yo/tqb/nxk/MVreWn90UeWn92gDJ/tqb/nxk/MUf21P/z4yfmK1vLT+7R5af3aAMj+2p/+fGT8xR/bUoxmyk9+RWv5af3RTGhjbgqKAPAPjldTXT2+23ZcIDmue8OfFnU9A0lLKK0lZVY8givoXxLo+nX1lm5tYpSGAG4U2HwX4c8pCNHtfuj+GgDxIfHTVs4+xzfmKT/heurAkfY5vzFe5f8ACF+HM5/si2/I/wCNH/CFeG85/si2/I/40AeGj466sellN+Ypf+F66v8A8+c35ivcR4L8OA/8gi2/I/40DwX4cx/yCLb8j/jQB4b/AML01b/nym/MUf8AC9NW/wCfKb8xXuQ8GeHP+gRbfkf8aP8AhDPDn/QItvyP+NAHhw+Omrn/AJc5vzFVbz45am6hHtpU+pFe9f8ACGeHRj/iUW3X0P8AjXh3x60bT9Jl0w2NnHAJAd+zP+NAHr3hbxVcaroMV0bV2baPStn+25tufsT/AJ1i/DZYj4StcKM+Wua7AxIRjYKAMr+25dufsUn5ik/tyXH/AB5SfnWr5Kf3RR5KYxsFAGUdbmA/48pPzFKdblwP9Ck/MVqGGMj7oo8lM/dFAGV/bU2cfYpPzFH9tzbtpspPzFa3lJn7goMSbs7BQBzOpaq8rQBrR1Kyc1fTV5QqhbJ8Aeop2sRor2vAG6TBrTjijEYG0dKAMv8AtmftYyfmKX+2p/8Anxk/MVqiJF/hFLsX+7QBk/21N/z4yfmKP7am/wCfGT8xWt5af3aPLT+7QBkf2zN/z4yfpS/23N1NjJj61reWn92kMSHgrQBl/wBsyHb/AKI/PWvCfiRcNc/FfTWMbJiMcH6ivonyY8D5BkV8+/FAKPixpoUY/dr/ADFAH0Dbf8esP+4P5VNUNt/x6w/7g/lU1ABRRRQAUUUUAeJfG8f8S8/Q/wA63PggpHhRzx1X+VYnxux/Z3HHB/nW58Ef+RUfjuv8qAPTsYpCffrTjWfrN82naPdXiIXaJNwUdTQBi+I/HWleGTtuGeWQ/wDLOIbz+Q5rhR8blhvC1zpt4tp2P2Zgf5VZ8BeFxrOpXmvaxE5klk8y3Vv4VwM/rmvRb7w9pmoWn2ae1QxegAFAGb4V8caT4qtlktJNjHqknyt+VdRXz3440BvAHi2x1fS5PJs7idUMeeOK900O/wD7T0e2vM581AcigDQrO1cA2y9etaRrP1bH2YZ9aAJbA/6HH06VZqrYYNlFgY4q1QAtFFLQAlFLRQAlIeKWigDL1wZscjrvFX7fPkR/7orP1vm0wWGN44rRgAECY/uigCTmgUtFACGilooASjvS0UANNfP37RuzzNJALZw38zX0EcV8+/tG7vM0n5hjDcfiaAPUPhru/wCEStgcY2r069K7KuO+Ggx4RtTtIyi/yrsqAEopaKAEopaKAEopaKAMfXBg2h9Ja1IzlFNZetHc1sv/AE0rUj4iUe1ADzRRS0AJRS0UAJRS0YoAae9fPXxSH/F2NM94l/mK+hsV88/FL/krGl/9cl/mKAPoG2/49Yf9wfyqaobb/j1h/wBwfyqagAooooAKKKKAPE/jfxp/PPB/Dmtz4Ij/AIpR/mJ5Xj8Kwvjf/wAg89eh/nW58Ec/8Io/1H8qAPUCc9OtRzRJPE0ci7kcYYe1P78dcUDp70ARQ28dtGsUSBEXgAVISAOelB6H6VxnibxvZ6bOdMtt01/KvyBV3AZ45x0oA4X4z6nBq2p6RoMWGnW6BK/UcV6z4Ysm0/w7ZWrrtZIxkCuC8HeALldVfXddPm3knKqW3AYJIxXqSgDgdKAHVnauM2o471o1n6s+22Xvk0ASacP9CjOc+9Wu9V7Dizi6dO1We9AC0UUUAFFFFABTfWnUgNAGVrigWOcYO8c1oWw/cR8k/KKz9bObT/gYrSgx5KcfwigCSiiigAooooAKKKKAGt2/Gvn79os5m0rKn+Ln86+gW7V8/ftGbPM0nls4P9aAPUPhqf8AikbXD7hsXiuzrjfhqGHhC1yB9xenXpXZUAFFFFABRRRQAUUUUAZGt8m1/wCulacWBEvPaszWeJLU/wDTStNOUU+1AD6WkHWloAKKKKACiiigAr54+KX/ACVjS/8Arkv8xX0PXzx8Uv8AkrGl/wDXJf5igD6Btv8Aj1h/3B/Kpqhtv+PWH/cH8qmoAKKKKACiiigDxL43f8g/jjg/zrd+CP8AyKj+uV/lWF8bvm0/pnAP4c1ufBIk+FH54yP5UAenn36Umcd8ClI4qtqMcsthMkLFZSp2MOxoA5fxP4llRxpmj5kvpBjeOQnsar+E/A8Gl3D6lqJ8/UZDkvnIANecz+CPHFvrt1fWF/PE0rl8hRxVj+wvieMgaxdc9TjmgD3Tco7jrxT1YY6ivD7TQviSt3H5usXTRbssCteyaUk8WmwJcuzTBfnLdzQBerN1fP2VeR1rSzWbq2DbJxnmgCfTwPsabRt+tWRnPWq1jn7LGDyas9+lADqKM0ZoAKKM0mRQAtN70ueKT60AZeuAix65+ccVoWxzbpxj5RWdrZ/0TIH8Y5rSgYGBOeNooAloozSZFAC0UZozQAUUmRS5oAa3avn79oxSH0k7hjB4/OvoFuelfPn7RYzLpOBzhufxNAHqfw0I/wCERtcAj5F6/SuyrjPhoc+EbXnPyLXZ5oAKKKKACiijNABRRmkzxQBka0Sz2y4/5aVqRjEa/SsvWW+e1B4HmYzWpH8qKPagB4paQcUtABRRRQAUUmRRkZxQAtfPHxS/5Kxpf/XJf5ivobI6V88/FL/krGmf9cl/mKAPoG2/49Yf9wfyqaobb/j1h/3B/KpqACiiigAooooA8R+NwI08nJ5B6fWt34J7B4UcA/xD88Vj/Gq3nm08CGF5DjnaM15r4X8e+J/C+nmzs7OQK2DzCTzQB9Y5GOtGeMcH8a+av+Fy+Nix/wBCOMf8+9A+MfjXH/HmSB0/0c80AfSmcf8A66XINfNQ+MnjUEn7GR9YDQ3xm8bdrM/+A9AH0rn5sUcZzxXzV/wuXxuCSbM8df8AR6UfGTxpu/48jg/9O9AH0nwDuzVDVgPsy4Pevnn/AIXF41CkfYztz/zwNMuPi54yuEC/Y22/9e5oA+kLEn7ImetWM8A180w/GDxnBGE+xkqP+mBpT8YvGmGAsm9h5BoA+lSe/ajPr0r5rPxi8ZthfsZ2j/pgaD8Y/GbEYszsH/TA0AfSufyoyK+av+FxeM3bmzOwf9MDS/8AC4/GTNk2ZCj/AKYGgD6UzzikPOQDzXzWvxj8Zhi32M+37g0L8Y/GgJJs23H/AKd6APoLWyP7P/4GKvwDECD/AGRXzRcfFrxpcIEkszjO7/UGpV+MfjQbR9kO3GM+QaAPpUMOpPFKCD3r5qPxj8a5IFoSD/07mg/GTxpgKLQ57/6OaAPpXtnNIT3r5rPxk8ZEBBZE+v7g0f8AC4vGTEAWZ2j/AKYGgD6UJAHNGRjrXzYfjJ4zZwRZnaO/kGkPxk8al8/Yzgf9O5oA+lOPXmvn/wDaNxv0kg9m4/E1lr8ZPGWctZnPb/RzXI+MvEviPxm1udQspMw527YSKAPpL4aYHhG16fcWuxJHqK+WdF+J/i/Q9Ojs7Wzfy0GPmhJ9a0P+Fx+Nj1sznr/x7mgD6XyKTIPSvmn/AIXJ40PIsycf9O5pR8Y/GoGfsfJ/6YGgD6UzSjmvmr/hcfjRQcWZ3H/pgaD8YvGYTaLNtx/6YGgD6UBzn0pcjPtXzUfjF4zKBRZHPf8AcGkPxj8Zbdv2I/8Afg0AfQWskf6MCOsnWtGJcJg9QK+Z7r4t+M7ryx9jOEbI/cGpf+Fx+NlJH2M9f+eBoA+liR6ijI9a+ah8ZPGhPzWZ4/6dzR/wuLxoxy1mcjoPINAH0rkHjNITivmv/hcfjQtuazYMOn+j0L8Y/GYyfsR3f9cDQB9KE8DFGR29K+ak+MfjLBH2Jif+uBoHxi8aBCFszz/0wNAH0rkeozXz58UOfivpmP8Ankv8xWcfjH41AGLI5H/TuawJta1zxZ40stT1CzfehVAViIGMigD6wtSDaw4/uD+VTVBaH/RIfXy1/lU9ABRRRQAUHpRRQBTu9Mtb5dtxCHHvVP8A4RjScg/ZE4rYooAx/wDhGNJzn7ImaP8AhF9J4/0ReK2KKAMY+F9JOc2i80f8IvpBXH2RcVs0UAZH/CM6SSSbRORik/4RjSc/8ei1sUUAY58L6QVx9kXFH/CMaSBgWi1sUUAY58MaT/z6JQPDGkj/AJdFrYooAxx4X0gEn7IuTSDwvpAzi0WtmigDH/4RfSMEfZFwaP8AhF9J2bfsi4rYooAxj4X0grg2i4oPhfSTj/RFwK2aKAMceGNJByLVc03/AIRbSNu37IuO9bVFAGOPDGkjA+yLgUf8IvpGc/ZFrYooAxh4W0gEkWiilXwvpCggWi81sUUAY3/CL6QAR9jXBo/4RfSMY+yLitmigDG/4RXR/wDn0WlbwvpDYzaLxWxRQBjDwtpAGBaLS/8ACMaTnP2Ra2KKAMYeF9IGcWa80p8L6QSP9EXitiigDHPhfSCc/ZFo/wCEX0jdn7ItbFFAGP8A8IvpG7d9kXNIfC2jk5NotbNFAGMfC+k4GLRRil/4RjSef9EXJrYooAxj4W0g4zaLxSnwvpDMGNouRWxRQBjnwvpBbP2Rc0n/AAi2kbt32Rc1s0UAYw8L6QpJFouT1pR4X0gf8ui1sUUAZH/CM6T/AM+i0sXhvS4ZBJHaqGHetaigBqrtAUdAKdRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//2Q==",
"path": null
}
|
"$\\boxed{3}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Numbers are to be placed into the square grid shown, so that each of the numbers $1,2,3,4$ and 5 appears exactly once in each row and in each column. Furthermore sthe sum of all numbers in the three black-bordered sections should always be the same. Which number has to be written into the top right cell?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"logic"
|
MathVision
|
335
|
An ant walked $6 \mathrm{~m}$ every day to go from point $A$ to point $B$ in a straight line. One day Johnny put a straight cylinder of one meter high in that way. Now the ant walks on the same straight line or above it, having to go up and down the cylinder, as shown in the picture. How much does she have to walk now to go from $A$ to $B$?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "An ant walked $6 \\mathrm{~m}$ every day to go from point $A$ to point $B$ in a straight line. One day Johnny put a straight cylinder of one meter high in that way. Now the ant walks on the same straight line or above it, having to go up and down the cylinder, as shown in the picture. How much does she have to walk now to go from $A$ to $B$?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
336
|
The pie chart beside refers to the number of inhabitants of the five zones of a city. The central zone has the same population as the north, west and east zones together and the south zone has half of the inhabitants of the west zone. What is the percentage difference between the inhabitants of the north and east zones?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The pie chart beside refers to the number of inhabitants of the five zones of a city. The central zone has the same population as the north, west and east zones together and the south zone has half of the inhabitants of the west zone. What is the percentage difference between the inhabitants of the north and east zones?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"statistics"
|
MathVision
|
337
|
In the addition on the right, different letters represent different numbers. Assuming the account is correct, what is the highest possible value for the sum $\mathrm{C}+\mathrm{A}+\mathrm{N}$?
<image1>
|
{
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"path": null
}
|
"$\\boxed{21}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the addition on the right, different letters represent different numbers. Assuming the account is correct, what is the highest possible value for the sum $\\mathrm{C}+\\mathrm{A}+\\mathrm{N}$?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
338
|
A gray square with an area of $36 \mathrm{~cm}^{2}$ and a black square with an area of $25 \mathrm{~cm}^{2}$ are superimposed, as shown beside. What is the perimeter of the overlapping region, represented by the white quadrilateral, which has a vertex on the side of the gray square?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A gray square with an area of $36 \\mathrm{~cm}^{2}$ and a black square with an area of $25 \\mathrm{~cm}^{2}$ are superimposed, as shown beside. What is the perimeter of the overlapping region, represented by the white quadrilateral, which has a vertex on the side of the gray square?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
339
|
Zilda will use six equal cubes and two different rectangular blocks to form the structure beside with eight faces. Before gluing the pieces, she will paint each one entirely and calculated that she will need 18 liters of paint (the color does not matter). How many liters of paint would she use if she painted the whole structure only after gluing the parts?
<image1>
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"path": null
}
|
"$\\boxed{11.5}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Zilda will use six equal cubes and two different rectangular blocks to form the structure beside with eight faces. Before gluing the pieces, she will paint each one entirely and calculated that she will need 18 liters of paint (the color does not matter). How many liters of paint would she use if she painted the whole structure only after gluing the parts?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
340
|
The last two digits of a 2020 number are 9 and 9. At most, how many digits does the square of that number have?
<image1>
|
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"path": null
}
|
"$\\boxed{4040}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The last two digits of a 2020 number are 9 and 9. At most, how many digits does the square of that number have?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
341
|
Matias wrote 15 numbers on the wheel represented beside. Only one of them is visible, the 10 on top of the wheel. The sum of the numbers in any seven consecutive positions, such as the gray positions in the figure, does not vary. When seven numbers in consecutive positions are summed up, which of the following results is possible?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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",
"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Matias wrote 15 numbers on the wheel represented beside. Only one of them is visible, the 10 on top of the wheel. The sum of the numbers in any seven consecutive positions, such as the gray positions in the figure, does not vary. When seven numbers in consecutive positions are summed up, which of the following results is possible?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"logic"
|
MathVision
|
342
|
A large square touches another two squares, as shown in the picture. The numbers inside the smaller squares indicate their areas. What is the area of the largest square?
<image1>
|
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"path": null
}
|
"$\\boxed{13}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A large square touches another two squares, as shown in the picture. The numbers inside the smaller squares indicate their areas. What is the area of the largest square?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
343
|
A circle is tangent to one side of a rectangle and passes through two of its vertices, as shown beside. A square of $20 \mathrm{~cm}^{2}$ area has one side over the side of the rectangle and two vertices over the circle, as shown in the figure. What is the area of the rectangle?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{C}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A circle is tangent to one side of a rectangle and passes through two of its vertices, as shown beside. A square of $20 \\mathrm{~cm}^{2}$ area has one side over the side of the rectangle and two vertices over the circle, as shown in the figure. What is the area of the rectangle?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
344
|
Two rectangular blocks and a cube are joined to form a larger rectangular block, which volume is $280 \mathrm{~cm}^{3}$. The cube, in dark gray in the picture, has volume equal to $125 \mathrm{~cm}^{3}$ and the smaller rectangular block has volume equal to $75 \mathrm{~cm}^{3}$. What is the area of the face marked with the question mark?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA//Z",
"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two rectangular blocks and a cube are joined to form a larger rectangular block, which volume is $280 \\mathrm{~cm}^{3}$. The cube, in dark gray in the picture, has volume equal to $125 \\mathrm{~cm}^{3}$ and the smaller rectangular block has volume equal to $75 \\mathrm{~cm}^{3}$. What is the area of the face marked with the question mark?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
345
|
The figure shows the lines $r$ and $s$, which equations are, respectively, $y=a x
+b$ e $y=c x+d$. Which of the following statements is true?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The figure shows the lines $r$ and $s$, which equations are, respectively, $y=a x\n+b$ e $y=c x+d$. Which of the following statements is true?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
346
|
A little kangaroo draws a line passing through point $P$ of the grid and then paints three triangles in black as shown in the picture. The areas of these triangles are proportional to which numbers?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A little kangaroo draws a line passing through point $P$ of the grid and then paints three triangles in black as shown in the picture. The areas of these triangles are proportional to which numbers?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
347
|
A rectangular garden was $50 \mathrm{~m}$ long and $40 \mathrm{~m}$ wide. An artificial lake was built next to it, so that the whole set forms a $60 \mathrm{~m}$ square. Then a fence was stretched, separating both the garden and the lake in two parts with equal areas, as shown in the picture. How long is this fence?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A rectangular garden was $50 \\mathrm{~m}$ long and $40 \\mathrm{~m}$ wide. An artificial lake was built next to it, so that the whole set forms a $60 \\mathrm{~m}$ square. Then a fence was stretched, separating both the garden and the lake in two parts with equal areas, as shown in the picture. How long is this fence?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
348
|
Vilma took a sheet of paper measuring $10 \mathrm{~cm} \times 20 \mathrm{~cm}$ and made two folds, taking the two smaller sides of the sheet to a diagonal of it. She gets a parallelogram, as shown in the picture. What is the area of this quadrilateral, in $\mathrm{cm}^{2}$?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Vilma took a sheet of paper measuring $10 \\mathrm{~cm} \\times 20 \\mathrm{~cm}$ and made two folds, taking the two smaller sides of the sheet to a diagonal of it. She gets a parallelogram, as shown in the picture. What is the area of this quadrilateral, in $\\mathrm{cm}^{2}$?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"transformation geometry"
|
MathVision
|
349
|
There are $n$ different prime numbers $p_{1}, p_{2}, \ldots, p_{n}$ written from left to right on the last line below the table shown beside. The product of two neighboring numbers in the same line is written in the upper two boxes. The number $K=p_{1}^{\alpha_{1}} \cdot p_{2}^{\alpha_{2}} \ldots p_{n}^{\alpha_{n}}$ is written in the last house above. In a table like this, in which $\propto_{2}=9$, how many numbers are divisible by number $p_{4}$?
<image1>
|
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"path": null
}
|
"$\\boxed{28}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "There are $n$ different prime numbers $p_{1}, p_{2}, \\ldots, p_{n}$ written from left to right on the last line below the table shown beside. The product of two neighboring numbers in the same line is written in the upper two boxes. The number $K=p_{1}^{\\alpha_{1}} \\cdot p_{2}^{\\alpha_{2}} \\ldots p_{n}^{\\alpha_{n}}$ is written in the last house above. In a table like this, in which $\\propto_{2}=9$, how many numbers are divisible by number $p_{4}$?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
350
|
Adam and Bruna try to find out which is Carla's favorite figure, amongst the figures beside. Adam knows that Carla told Bruna what the shape of the figure was. Bruna knows that Carla told Adam what color the figure was. The following conversation takes place. Adam: "I don't know what Carla's favorite figure is and I know that Bruna doesn't know either". Bruna: "At first I didn't know what Carla's favorite figure was, but now I know". Adam: "Now I know too". What is Carla's favorite figure?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Adam and Bruna try to find out which is Carla's favorite figure, amongst the figures beside. Adam knows that Carla told Bruna what the shape of the figure was. Bruna knows that Carla told Adam what color the figure was. The following conversation takes place. Adam: \"I don't know what Carla's favorite figure is and I know that Bruna doesn't know either\". Bruna: \"At first I didn't know what Carla's favorite figure was, but now I know\". Adam: \"Now I know too\". What is Carla's favorite figure?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"logic"
|
MathVision
|
351
|
Paula's weather app shows a diagram of the predicted weather and maximum temperatures for the next seven days, as shown. Which of the following represents the corresponding graph of maximum temperatures?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Paula's weather app shows a diagram of the predicted weather and maximum temperatures for the next seven days, as shown. Which of the following represents the corresponding graph of maximum temperatures?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"statistics"
|
MathVision
|
352
|
A large square is divided into smaller squares, as shown. A shaded circle is inscribed inside each of the smaller squares. What proportion of the area of the large square is shaded?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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",
"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A large square is divided into smaller squares, as shown. A shaded circle is inscribed inside each of the smaller squares. What proportion of the area of the large square is shaded?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
353
|
After the storm last night, the flagpole on our school building is leaning over. Looking from northwest, its tip is to the right of its bottom point. Looking from the east, its tip is also to the right of its bottom point. In which direction could the flagpole be leaning over?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "After the storm last night, the flagpole on our school building is leaning over. Looking from northwest, its tip is to the right of its bottom point. Looking from the east, its tip is also to the right of its bottom point. In which direction could the flagpole be leaning over?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"descriptive geometry"
|
MathVision
|
354
|
The parabola in the figure has an equation of the form $y=a x^{2}+b x+c$ for some distinct real numbers $a, b$ and $c$. Which of the following equations could be an equation of the line in the figure?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The parabola in the figure has an equation of the form $y=a x^{2}+b x+c$ for some distinct real numbers $a, b$ and $c$. Which of the following equations could be an equation of the line in the figure?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
355
|
A large triangle is divided into smaller triangles as shown. The number inside each small triangle indicates its perimeter. What is the perimeter of the large
triangle?
<image1>
|
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"path": null
}
|
"$\\boxed{34}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A large triangle is divided into smaller triangles as shown. The number inside each small triangle indicates its perimeter. What is the perimeter of the large\ntriangle?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
356
|
In the $5 \times 5$ square shown the sum of the numbers in each row and in each column is the same. There is a number in every cell, but some of the numbers are not shown. What is the number in the cell marked with a question mark?
<image1>
|
{
"bytes": 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",
"path": null
}
|
"$\\boxed{10}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the $5 \\times 5$ square shown the sum of the numbers in each row and in each column is the same. There is a number in every cell, but some of the numbers are not shown. What is the number in the cell marked with a question mark?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"logic"
|
MathVision
|
357
|
A piece of string is lying on the table. It is partially covered by three coins as seen in the figure. Under each coin the string is equally likely to pass over itself like this: <image1>
or like this: <image2>. What is the probability that the string is knotted after its ends are pulled?
<image3>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A piece of string is lying on the table. It is partially covered by three coins as seen in the figure. Under each coin the string is equally likely to pass over itself like this: <image1>\nor like this: <image2>. What is the probability that the string is knotted after its ends are pulled?\n<image3>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"topology"
|
MathVision
|
358
|
A naughty pup grabs the end of a roll of toilet paper and walks away at a constant speed. Which of the functions below best describes the thickness $y$ of the roll as a function of the unrolled part $x$?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A naughty pup grabs the end of a roll of toilet paper and walks away at a constant speed. Which of the functions below best describes the thickness $y$ of the roll as a function of the unrolled part $x$?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
359
|
The diagram shows three squares, $P Q R S, T U V R$ and $U W X Y$. They are placed together, edge to edge. Points $P, T$ and $X$ lie on the same straight line. The area of $P Q R S$ is 36 and the area of TUVR is 16. What is the area of triangle PXV?
<image1>
|
{
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"path": null
}
|
"$\\boxed{16}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The diagram shows three squares, $P Q R S, T U V R$ and $U W X Y$. They are placed together, edge to edge. Points $P, T$ and $X$ lie on the same straight line. The area of $P Q R S$ is 36 and the area of TUVR is 16. What is the area of triangle PXV?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
360
|
The figure shows the graph of a function $f:[-5,5] \rightarrow R$. How many distinct solutions does the equation $f(f(x))=0$ have?
<image1>
|
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"path": null
}
|
"$\\boxed{8}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The figure shows the graph of a function $f:[-5,5] \\rightarrow R$. How many distinct solutions does the equation $f(f(x))=0$ have?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
361
|
Five kangaroos named A, B, C, D and E have one child each, named a, b, c, d and e, not necessarily in that order. In the first group photo shown exactly 2 of the children are standing next to their mothers. In the second group photo exactly 3 of the children are standing next to their mothers. Whose child is a?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Five kangaroos named A, B, C, D and E have one child each, named a, b, c, d and e, not necessarily in that order. In the first group photo shown exactly 2 of the children are standing next to their mothers. In the second group photo exactly 3 of the children are standing next to their mothers. Whose child is a?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"logic"
|
MathVision
|
362
|
The solid shown in the diagram has 12 regular pentagonal faces, the other faces being either equilateral triangles or squares. Each pentagonal face is surrounded by 5 square faces and each triangular face is surrounded by 3 square faces. John writes 1 on each triangular face, 5 on each pentagonal face and -1 on each square. What is the total of the numbers written on the solid?
<image1>
|
{
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"path": null
}
|
"$\\boxed{50}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The solid shown in the diagram has 12 regular pentagonal faces, the other faces being either equilateral triangles or squares. Each pentagonal face is surrounded by 5 square faces and each triangular face is surrounded by 3 square faces. John writes 1 on each triangular face, 5 on each pentagonal face and -1 on each square. What is the total of the numbers written on the solid?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
363
|
On a circle 15 points are equally spaced. We can form triangles by joining any 3 of these. Congruent triangles, by rotation or reflection, are counted as only one triangle. How many different triangles can be drawn?
<image1>
|
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"path": null
}
|
"$\\boxed{19}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "On a circle 15 points are equally spaced. We can form triangles by joining any 3 of these. Congruent triangles, by rotation or reflection, are counted as only one triangle. How many different triangles can be drawn?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"combinatorics"
|
MathVision
|
364
|
A triangle $A B C$ is divided into four parts by two straight lines, as shown. The areas of the smaller triangles are 1,3 and 3. What is the area of the original triangle?
<image1>
|
{
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"path": null
}
|
"$\\boxed{12}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A triangle $A B C$ is divided into four parts by two straight lines, as shown. The areas of the smaller triangles are 1,3 and 3. What is the area of the original triangle?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
365
|
Two plane mirrors $O P$ and $O Q$ are inclined at an acute angle (diagram is not to scale). A ray of light $X Y$ parallel to $O Q$ strikes mirror $O P$ at $Y$. The ray is reflected and hits mirror $O Q$, is reflected again and hits mirror $O P$ and is reflected for a third time and strikes mirror $O Q$ at right angles at $R$ as shown. If $O R=5 \mathrm{~cm}$, what is the distance $d$ of the ray $X Y$ from the mirror $O Q$?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{C}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two plane mirrors $O P$ and $O Q$ are inclined at an acute angle (diagram is not to scale). A ray of light $X Y$ parallel to $O Q$ strikes mirror $O P$ at $Y$. The ray is reflected and hits mirror $O Q$, is reflected again and hits mirror $O P$ and is reflected for a third time and strikes mirror $O Q$ at right angles at $R$ as shown. If $O R=5 \\mathrm{~cm}$, what is the distance $d$ of the ray $X Y$ from the mirror $O Q$?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
366
|
Martin's smartphone displays the diagram on the right. It shows how long he has worked with four different apps in the previous week. The apps are sorted from top to bottom according to the amount of time they have been used. This week he has spent only half the amount of time using two of the apps and the same amount of time as last week using the other two apps. Which of the following pictures cannot be the diagram for the current week?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Martin's smartphone displays the diagram on the right. It shows how long he has worked with four different apps in the previous week. The apps are sorted from top to bottom according to the amount of time they have been used. This week he has spent only half the amount of time using two of the apps and the same amount of time as last week using the other two apps. Which of the following pictures cannot be the diagram for the current week?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"statistics"
|
MathVision
|
367
|
Four circles with radius 1 intersect each other as seen in the diagram. What is the perimeter of the grey area?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Four circles with radius 1 intersect each other as seen in the diagram. What is the perimeter of the grey area?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
368
|
The points $A, B, C$ and $D$ are marked on a straight line in this order as shown in the diagram. We know that $A$ is $12 \mathrm{~cm}$ from $C$ and that $B$ is $18 \mathrm{~cm}$ from $D$. How far apart from each other are the midpoints of the line segments $A B$ and $C D$?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The points $A, B, C$ and $D$ are marked on a straight line in this order as shown in the diagram. We know that $A$ is $12 \\mathrm{~cm}$ from $C$ and that $B$ is $18 \\mathrm{~cm}$ from $D$. How far apart from each other are the midpoints of the line segments $A B$ and $C D$?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
369
|
Four straight lines that intersect in one single point form eight equal angles (see diagram). Which one of the black arcs has the same length as the circumference of the little (grey) circle?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Four straight lines that intersect in one single point form eight equal angles (see diagram). Which one of the black arcs has the same length as the circumference of the little (grey) circle?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
370
|
We check the water meter and see that all digits on the display are different. What is the minimum amount of water that has to be used before this happens again?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "We check the water meter and see that all digits on the display are different. What is the minimum amount of water that has to be used before this happens again?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"arithmetic"
|
MathVision
|
371
|
The square pictured, is split into two squares and two rectangles. The vertices of the shaded quadrilateral with area 3 are the midpoints of the sides of the smaller squares. What is the area of the non-shaded part of the big square?
<image1>
|
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"path": null
}
|
"$\\boxed{21}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The square pictured, is split into two squares and two rectangles. The vertices of the shaded quadrilateral with area 3 are the midpoints of the sides of the smaller squares. What is the area of the non-shaded part of the big square?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
372
|
The diagram shows a map with 16 towns which are connected via roads. The government is planning to build power plants in some towns. Each power plant can generate enough electricity for the town in which it stands as well as for its immediate neighbouring towns (i.e. towns that can be reached via a direct connecting road). What is the minimum number of power plants that have to be built?
<image1>
|
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"path": null
}
|
"$\\boxed{4}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The diagram shows a map with 16 towns which are connected via roads. The government is planning to build power plants in some towns. Each power plant can generate enough electricity for the town in which it stands as well as for its immediate neighbouring towns (i.e. towns that can be reached via a direct connecting road). What is the minimum number of power plants that have to be built?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"graph theory"
|
MathVision
|
373
|
A cuboid with surface area $X$ is cut up along six planes parallel to the sides (see diagram). What is the total surface area of all 27 thus created solids?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{C}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A cuboid with surface area $X$ is cut up along six planes parallel to the sides (see diagram). What is the total surface area of all 27 thus created solids?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
374
|
A circle with midpoint $(0 \mid 0)$ has a radius of 5. How many points are there on the circumference where both co-ordinates are integers?
<image1>
|
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"path": null
}
|
"$\\boxed{12}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A circle with midpoint $(0 \\mid 0)$ has a radius of 5. How many points are there on the circumference where both co-ordinates are integers?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
375
|
Which two building blocks can be joined together so that the object shown is created?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
{
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l/wAVv4oQbfJ8P2ZPp5s7f0FaWmeANGsnFxeLLqV73uLxy7fgOgrqqKAGrGiIERFVV6KBgD8KxfGPHg7VeBgW7GtysPxj/wAifqv/AF7tQBgaX4Ln1LR7OfWPEGp3Uxt4/JWOXylhG0Y2gdcVp2niDxR4JAi1ONtd0gHi5jXbcRD/AGh/FWzonGgad6fZo+P+Air59+c0AbOh+JdI8RWq3GmXscykcpnDp7FeoNbIOa8o1Pwfby3h1HSZ5NM1Ic+dB91/Zl6GrGnfEXUdAnWy8aWZjQnEep2y74n9mA+6aAPUKKq2l7bX1ulxaTJPC4yskbBgfxFWVbIz0oAWvLPExYfGnTR2Okv+PzmvU68w8Uf8lh0j/sFy/wDoVAG77du9Zes+H9M1+38nULVJQOEfoye4PY1p0UAefNa+J/BLGS0eXXdIX/ljN/x8Qr3w3f8AGtyz8e+HrqxN098ttt/1kMwKuhz0I610vGRkZ+tefazpGnz/ABV0oS2cLh7N5HBX7zZPJ9aALD+ONR1ebyPDGhzXQ/5+7r5Ihz145NJH4I1XV5jP4p1yWdScm0tB5UY9s9SK7hI0jUKiKqqCAAMAfSnDjpx9KAM/S9D0vR4hHp1jDbgfxIvP0z1NaA6g+/r3o64zzjpRQBwGpabf6p8Rrm3s9WuNOj+wIZ2t1+Z13dM9qvr4W1PQJRe+F9auY515kt7yQzRz/wC9noT6ipbVR/ws6/4H/IOT/wBCFdXz6n86AKWhfEu1muv7O8RWjaNqOcDzTmKQ/wCw3+OK7xJFkVXRgytyCDwfpXB6lpNjrFq1tfWyTRHsV6e49K5+CLxT4LIfQ7j+1tLU/NYXD4dB/sN3+lAHsFFcn4Z8e6N4lJgila1v0/1tncjZIp9geD+BNdWDk0ALRRRQAUUUUAFFFFADXGVIr5+8UeNtd1HxHqGn313dad4et7p7cz2CfMxB43MeR+FfQRGRXkXhqGK61DxVFPGkqnVZQyMuR27UAWPDeg+HLS1S50pIbkyDJuXbzXf6t2NdJj6/n0rhL3wbe6NeNqHhG8NsT8z2D5aGT6D+GruieOrW8nOn6vAdL1NT80Uv3GP+y1AHWjgD9aKO2ex6e/vRQAUZ5ycE+tBIUEkgAc5JwMVzeseONG0jMfnG7uui29v87E/hQBNrvhTTtbKzsGtr1DmO7gPlyKe2T3/Gs+3+IOp+CrqOx8WNFe2TfLFqMR2yfR17j3qgbnxp4pQfZ4k0CzP8cg8yZh7DtUWpeAtK03w1qV7dNNqOoi2c/abmTcRx2HagD220uoby2iuYH3RSqHQ+oNWK47RPE2i6V4X0WK+1S1t3kt41VHkBJOB+X411kUySxrJG6ujfdZTkH6HvQBLRSbhnFLQAUUUUAFFFFABRRRQAV5LGW/4XH4mB+6bW3OPwr1qvKiP+Lw+Iv+vK3oA6I+/Pp7Vi674V0vX4/wDSods4+5cRHbIh9QR/WtqigDz8XfifwQ+2+jfXNJHH2hBieNf9ofxVuJ488Mtpy3p1OMRnGEIIcH0x610ZUbSDyD2rz+w0jTj8WdV/0OHEdtFIo28KxHJA6dzQBY/4S7X9flMPhzQ2jiYY+2X/AMq/UKOtOtfANxfSef4n1i51Ns5Nun7uEe20df0rtgqqoVVAUdgOKWgCpYaZY6XEIrG1it07BFwcfWrYwDnpnriiigDzq00a91nxd4jjTWruyshPH50NqQplO09W6itaLRNe8K3BuvC+pPPb9ZNPvXMiP6lW6g1L4Z58U+Kc/wDPzH/6Ca6oknqTQBH4c+I2mavMLLUI30nUwcG1uTjd/ut0IrtQ+Txz9K881jQNN12Dyr63VyDlHHyup9j2rHgv/Fngojyy+vaLGOY34uIR7E/exQB65nnpS1z3hvxjovii3EmnXQ80fft5fllT6qea6AHJoAWiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiig0AecfGBWOgaMQOBq9tn8zWmB61S+Lmf+Ea0331a2/9Cq92H0oARgGTayhgeoPT8q43VfArQ3ban4auW02/Ay0a/wCpk57p2+tdnRigDgofiIdKP2LxRp8tnfqMK0Klkn6crSya34t8SYGi6cul2Tf8vV38zt7he1T+OURtZ8LAqCDfYII7YFdrnOOegoA46x+Hdh9oW71y5uNYvB8xa5b5AfZO1dbDBFbxiOGJI0HRUUAD8BUlFAAMDkCvP9Y0Gx134lrDfiV4Y7ANtV9ob5j1r0A1yan/AIuk5/6hw/8AQjQBLf8AgiwZorjR2bSb+EfuprUbQcdmX+KrOl/EHVPD8wsvGlsAhOE1K3TCN/vL/DW906VHcQQ3UDQTxRyxMMFJFytAHW2l9bX1ulxaTpPA43LJGcqR9asg5rx7/hH9W8M3bah4SvjHGeZNNuCXhk/3f7prq/DfxG0/Vpxp+pxNpOrDhrec4DH/AGW6GgDt6KZv545pwOenSgBaKKKACiiigDG8WAt4Q1kAZJspcf8AfJrhfA4P/CDaKe/2WPvz0rvvEn/Irat/15y/+gGuB8D/APIkaN/16pQB0B9TXN+IPBmm6263ce+y1BPuXVudpz2z6/jXSUA4ORxQBwEfifW/CJ+zeKrY3FmOI9RgX/0Je1TP411TXVMfhTRnnUkg3l0Csa+4HU1reO1B8D6sCo/1Of1FaHh5QvhvTgFUD7OnT6UAcxB4EutXcT+KNWnvW/59rciKFfwHX9K67T9KsNKgENhaQ26KMYjXH51cPIAPIHTNFAB79q4v4iWqX1to1rK0ipLforFGwcYPeu0rkvG/39B/7CKfyNAE0ngHw82nLZpZLEQ25bhXIlDeu7rTbLX/ABR4Jk8vUg+uaIvS4Vf9IhHvjhhXUgkEkEj8aQgEYPT9KANzQ/Eel+I7MXWmXaTJ3UH5l/3h1FawbJxXk2qeDw12NR0G7fSdSU53QsPLkP8AtL3FX9J+JE1hcrp3jC0Wxuc7VvIsmCU+vIyv6igD0yioYbiK4hWWGRZIm5V0OQfxqQMCcc0AOooooAKKKKACiiigAooooAKKKKAEPSvJ4gw+MHijcMBra2I/I16zXlf/ADV3xH/15238jQB0PbFUtT0mx1m1a1v7aOaJhgBhyPoetXaKAPP30nxH4Kk87RZH1XSRktZT8yRD/ZfuPapx8TbC5AhsNOvrq/OVNqEwVb0J7Cu5wM5wM+tcV4QjRfGHitgoBF0BnHbFAEC6T4x8TMf7XvV0ey6/Z7PmQ/VznH4Vu6J4N0TQiZLW1Ek5+9cTEu7H6mt/09ulFABgYwBjvxUVzj7LN/uHr9KlqK5/49Zv9w/yoA4DwF4S0i40GHUbq2+1XEhcEzMXCjPZfpWp/YWs+FpmvPB93thdt0mm3BLxP/ud1NWPh9z4Ns8+r/zrqKAGeG/iLpuszmwvkbTNVTiS1uDgZ/2W712gb8vWvOtZ8P6frsPl3sOZF+5Mp2uh9Q3asmy1jxP4FVYroPruiA4WXGLiAe56OKAPXAaWsXQvEuk+JLQXOmXiTDHzJn5kPoR1BrYDZ/P0oAdRRRQAUUUUAFFFFABRRQaACikJ4qtd3tvY2zXF1PHBCvLPIwVQPqaALJPHXFNLgDJ4A6nsK8z1L4xaTJff2Z4bhfVtQYkKE+WPP+8eCPcZqhcaZ4p8ToD4j1Y2lux5srEkD6Fu9AHXa/8AEjw9oL/ZzdG9vj921s1Mrn67c4/GuXutc8b+KAv2WOLw/YN3kIadh9O1aOleHtL0WLy7G0RCOsjDLt9T1NanIXGSO5x3oA434dwSW9jqkMk0k7pfyBpZPvPz1Ndi6LICrqGB4ORmuT8C/c1r/sIy/wA662gDi9T8Cm3uW1DwzdHTr0ndJGOYpfqOn40mm+OWtb5dJ8T2jabfHhZTzDKfZ+ldrVLU9LsdWs3tr63SaJgRhh09xQAXur6bp1qbm8vbeGHGdzygZ+nrXI/8J1fa5cNbeFdHmu+P+PudDHEvuCev0rG8A+E9Kv5dRub6Nrk2l48ECTOXVFGMcHvXqMcUcSBI4wqDoo6flQBw8PgjUNXcTeKtXe5H/PrbsVjFddpuj6fpNuIbG0jhTGMBefzq7R3z3oAwfGjFfBmrMD923bHtXY+CD/xROi/9eifyrjfG3/Il6sPW3Ndt4OTy/BujKOn2OL/0EUAblFFFABRRRQAUUUUAB6V5h4pIHxh0jJ66XIP/AB+vTz0ryzxiuPi9obsQA2nyKDnqdx4oA6DtRRjnn6dOhooAO9cTckD4w2me+ln/ANDNdtXB32f+FyWH/YMP/oZoA7w80UetFABRRR7847n0oA5TQP8AkevE/wDuWv8A7Urq65TQjs8ceKGbjEdqST0/5ad6s6z410XRmMUlz591nAt4PmkPfkDp9aAOiP8ATP4VT1LVtP0eDz9QuobePHBkfG4e3rXIHUPGXiWP/QbWPRrNj/rp+ZSPYdquWPw90xJku9Wkm1W97y3Z3AfReg/KgDldevU8VXQn8KaRdtfo24aogMQ49zyw+teqfC3W9U17wetxrEiyXkNxJA7r/FtxS+UkUBSNQqKvyqowB+FUvg4P+KQuj/1Ep/6UAeiUUUUAFFFFABRSZ+tJu+tADqQmuY8SeP8Aw54WQ/2nqMSzD/lhGd8n/fI5H44rjV8ceKPFyCTw1aQ2GmvwLy5YMzc9Qozz9cUAelalq+n6RbGfUb6C0iAzumkC5+metcHc/FGXVZ2tfCWj3GoEf8vUqmKEe+Wxn9az7bwPaNeG91m6n1W8z9+5bK5/3emK6aOKKFQscaqoHQDpQB5z4htfEb6jot/r2rrcM18irawLiKPg/rXpOev9a5Lxx97QfT+0U/ka63uaAMnW/Del+ILfyr+2VmH3JAPmQ+x6iuUK+J/BALqsmtaMvGF5mhHrjvXoP5/hSEKQQR19aAMnQ/Eul+IbM3NhdK2378TfK8Z9GB6Vna3490TR3Nus5vL0j5be0HmNn0OOBXNfETw9p66jpNzBG9vLd3iwTtAxXcp4OcV3GkeG9K0KLy7C0SMjgvj5292PegDmG/4TTxOFcLHoNiw4DHfMw/DpWppXgLRtNmFzKj3t71M9ydzE/Q11HGScDnk+9FACKAqgKu3HTFc74fYn41XCnoumDA9OldGOtc/4dQN8Z75z1XTF/mKAPU6KKKACiiigAooooAKKKKAMrxJ/yK2rf9ecv/oBrgPAhB8DaRg5xAB+pr0HxEpfwzqqjqbSX/0A15z8PufA2mYPSPB9OpoA6aijGP50UAUNc/5AGpf9esv/AKAayPh+QfA+mc/8s619c/5AGpf9esv/AKAaxPhz/wAiNp/+7QB1VFFFABWH4x/5E/Vf+vdq3Kw/GP8AyJ+qjv8AZ2oAvaJ/yAdO/wCvaP8A9AFXsY//AF1ladeW1n4csJLmeOFBax5Z2A/gFc/dfEKCe5Nr4fsJ9Wn6b4h+7B9d3SgDtflxxggH/PauZ1/xf4d05HtL24juJ2GBaxjzHJ+g5/MVmf8ACPeK9fk365qzWNo3S0sxtJHoW7/pW9o3hHRNBGbGxjSQnmVhl2/E80AebW+oeI/DmsRazothNpGj3M6RPbTvlXLHGdnb8K+lQMGvHfiOf+JLZHv9vh/ma9iHWgB1eYeKCF+MOj5PXTJB/wCPV6eeleV+MRt+LehOxADWEijPc7jQB0Paijv+nToaKADvXFamQPito2Tj/QX/APQjXa9xXC61/wAlY0P/AK83/wDQjQB3Qoo7Y9KKACgdaKPzoA5W1/5Kdf8A/YOT/wBCFdVXKW3HxOv/AG05O3+0Ku6z4x0TQ1xdXqNMekEXzyE/QUAbxHqM+1V72/tNPtzcXtzDDEOryNgfTmuM/tzxZ4jQjR9OXS7Y8C5vBlyPVV/xqxafD20lkW48Q3c+r3Q5zcP8in2TpQBgeJdY03xYTF4e0m61C/T7l9b5jER9d5613Xwj1nXr+x1TT/EEwluNOnWFW74IPfv0rTtreG0iSG3iSKJRgIgwB+FZfwtGNb8Y4GB9vTp9DQB6ZRRRQAUUUUAFFFFABXkPhJSuveLww5/td8D/AICK9eryXwz/AMjJ4w/7Crf+gigDp/xNZet+H9M1+18jULdXx9yQcOh9QetalFAHnwXxL4HY7fM1vRV4IPM8Q+verP8Awsm21FRF4f0u71G6K5CkbEQ/7RPcV3BAbggH61xXw1RV0fUCFAJv5c4HvQBXXw14n8SHf4i1T7HbHk2lgNmfq55/Kul0bwvo2gxbNPsokZvvSMNzN9WNbHejr15+tABnr7jFY/iv/kVNU5x/oz8+nFbFY/iv/kU9V/69n/lQBheF/BWgHw7byzWQuZbiBfMedjIcEdvSpYLLxH4LcS+HLg3+l5+bTrltxQd9jjn8K2/DRz4Z03OTi3T+Vap65PJPfvQBY8NeOtI8SboYpDa36cSWlx8rqf6/hXU7ua8y1zwtp+tjzGVra7UZjuoDskU+uRVSx8WeIfBhjtPEcX9p6aowmowLiRB6uvc0AetUVm6VrNhrNml1p90lxC4yCp5/EdRV8MC2Ov4UAPooooAKKKKAA9K8pZgPjD4hB6myt8V6q3KmvJp1C/GjWSSMtZQkD1GKAOnoo/OigAritOI/4WzrI7mzi/kK7WuGsefjBqv/AF5x/wAqAO5ooooAKKKO/wD9bNAHK+Gf+Ro8Uf8AXzH/AOgmuqrlPDTBfE3iksQv+kRZycY+Q1PrPjjRdHbymna5us4Fvbrvc/gM4+tAHScf16dqo6nrGn6RB52o3cNuh6GSQDd9PX8q5I3vjTxJGDZ28eiWbf8ALSb5pWHsO1XbD4faXFMt3qjS6rej/lteEt+S9B+VAHJ65eL4quhN4R0m7+2xtn+048wrn3J+8MeterfC3W9S1/wclzq8iyXsU8lu7KBztwO1LsWO3MaKFQLwqjAH4VS+Df8AyJtyf+ojcfzFAHodFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFBoooA89+LzBfDGmk9tVtj/49V8EEZFZ3xiA/4Q60kZgqpqVuxJ6AZNXoHWS3SSNg6MoIKnIIx1zQA+ij6ZooA4rxyduseFznH+nn+QrtiOeOlcL4/wD+Ql4Z/wCv/wDoK7mgAooooAK5Jf8AkqL/APYOH/oRrrfy/GuR3BPihIzEKq6cAS3GPmNAHXUYOOnvXK6n8QNGsZGtrUyaheDgQWq7ufdugrKW38beKuLmSPQbAj/VxjzJmH1OMfhQB0useK9G0KPfe3ieYfuxKd0jH0wOa4nWX1b4hQpBpugpa24O4X16pEgHYoq4IP1zXWaL4G0TRz5vkvd3R+9cXTb3P4HpXRhRjGBgdBQByGlan4v8CxJHqLnxBpaqAzAFZ4sfUndXo/h/xRpPiWyFzpl2so/ijIw6H0K9QayOx9DXNav4QgubsajpVw+l6opyJ4CMP7MvQ0AerBsmnV5jpfxEvtHm+weNLQWzA7Y9RhQmKX/eB+6f0r0a3uobqBJ4JFlicZV0OQR9aALFFJkE0tAGV4m/5FXV/wDrzl/9ANcB4GdX8EaPt7Wyg16D4hTzPDWqIP4rSUf+OGvOPh7NHL4H00RurFIwrBTnBx0PvQB09FKeM/WkoA57x1/yJGrf9cf6ir/h0g+HNNwf+XZP5Cs/x3/yI+r/APXD+oq34X/5FbTP+vdf5UAa9FFFABXJeOPv6D/2EU/ka62uS8b/AH9C5H/IRT+RoA631o6//qrC1jxhomhyeXd3oMx6Qw/O5/AVzp1vxj4lcpo+nx6TZMcfarv5nx6hex+tAHZ6hq1hpdu019eRQRqMnew/lXE6h4tk8UW8unaBoBv0YbTPdrthUH+LtmtDTfh3p8V19r1i4uNXvV533TfKp9krr4oYreMRwxpEg6KigD9KAPPfDmi+OPBVutxZajb30IOZNNZTtA7hGJ4r0nwz4/0jxDIbZi+n6kn+ss7r5XH0PRh7imZyf/rVja54Z07XYgbmNo7hTmOeI7XQ+oNAHpAb69e4pwOT3ryWy8TeJPBcq2+sxPrOjqMJexLieIf7Y/iH0r0XRfEGmeILJbvS7tLiM9Qp+ZfYjtQBrUUgIPQ0tABRRRQAUUUUAFFFFAAeleVFgPi/4hU9TZ2/9a9UPSvJrh44fjNrIeVQ0tlAVBOCevT1oA6eijkcEEHNFAAOori/CJH/AAl/isZ5+1A/pXaVw/hH/kePFfH/AC8L/KgDuKKKKACorn/j1m/3D/KpaiuuLWYf7DfyoA5z4ff8ibZ/V/511Fcb4O1Kz0rwLa3F7cxwxKXyXOMnce3WoLnx/PqL+R4V0qbUJP4riT5Il+nc0AdvJIkKGSRwiY+83Ark9U+IWk2dx9isY5dUvD8vlWy5GfdulUE8FazrzrceKtYkKsP+POz/AHcYHoT1Ndbpmh6Xo8Kx6fZQwqo2gqBnHuepoA88g8K+LNT1x9dtnt/Dk2OI4QXZ/ZxwD+RruNJ+It3pM8OneM7T7NKTtj1CL/Uy/XP3TW3UN1Z219bvBdQRzRMPmV1BzQB2UF1DdQrLBIksbDIZDkGpgc149HpGu+EZWvPCd0ZrMnL6ZdMXTHcIeq12Hhr4gaXr0otJ9+n6ov37O5+Vs+x7igDsqKYHyfxxTgfrQAtFIelcp4t8eaT4RMEV75sl1cqTBBEuWftigDqycCsTW/FeieHoTJqeowW57IzDe30XrXBz6r458SyMu6LQLA8YBD3BBGfwp2leCdI064N3JG17enk3N0xkf689KAJZfH3iHXw0fhjRmt4DwL2+UqPqqHk1Qj8GSajN9p8T6nPq83XY5IhHsF/xrrMADAAx6AUvSgDm9X8D6LqttHGLVbaaIYhmtxtaP0xisFdW8R+CdsWtRPqulg4W9iGZEHo4H869CpHRXQo6hlPUMMg0AUtL1iw1q0W60+5juIW6FGyfofSrx7j2zXFan4E+zXj6r4ZuW02/PLRrxFL7MvSjTfHbW10mleKbU6bqBO1ZG/1Up9j0FAFjwN/q9Z/7CMv8662uR8BsHg1hlbKnUJCCBx1NddQAUjfdP0paQ9DQBxPw3/1Gu/8AYTk/kK7euJ+HCkW+tnHynU5cH14Wu2oAKKKOxoAwfGv/ACJmrf8AXA12/hH/AJE/Rv8Arzi/9BFcP43IHgvVif8Anga7jwj/AMido3/XnF/6CKANqiiigAooooAKKKKAEPSvHvifo41z4g6FaG5mtm+xSuksLbWVg3Br2I9K8u8aSCP4seHM5+azlH0+agDn49f8Q+EXEHiOA3+ngbU1GBcNjPV1712en6pZararc2NzHPEwyCjZ/P0qy6JLGyyIrqwKsGGQfrXGan4HktLo6l4YvP7Ou/vNbsMwSn0x2+tAHa1wt/8A8lhsD/1DT/6Gan0rxw0V3/ZfiazbSr8dHY5hl/3WqvesJfi/p7IQwOmFgRyMbzznvQB3f/16O/c1k6t4m0bRFY31/FG2eIw252+iiuZ/4SnxL4gkMfh3RDa23T7ZqIKg+4TqaAO2uLqC0iMtxNHDGOS0jbRXJ3fxBtZ5WtdBsbnVrrp+7UrGPq1Mtfh6LmcXXiPVLjVJevlbtkQP+6Ov6V1tpYWmnxeVZ28UCekagZ+tAHkuq6H4we6m1a/R0s7x1N5a6dNtfaoIHPX+I5HoTXZ+CovCRs/+JHDCsw++JlzOp9yea6/qf6Zrmda8F2GpyfbLSR9P1FeRc25AyfRh0NAHT85PXPvSVwsXinV/Dc6Wviq1L2p+VNTtlJQ/76kcH6V2dneW1/brcWs6TRN0ZDkUASyf6tvoao/Bv/kTrr/sJXH8xV5/9U30NUfg3/yJ11/2Erj+YoA9DooqKeaO3gkmkbakal2PoByaAJCaikmjhiaSWRUjXqzHAA+przSf4oXets9v4O0p70qSrXdwCkSn2zyaz5PC2p+IGWXxZrEt3zn7LAdsK+2BjNAHR6x8U9Gs7k2WkRy6zfDgx2Y3Kp926VhXQ8beKGB1G9GiWTD/AI9rTmQj3at6w0yy0u2WCytYreJRgLGuB+OKtY9B+XSgDC0/wboenq2yxSaRxh5pxvdvXJPNYV34M1DRbtr/AMJXnkHq9jIcxSD2z92u6IB6gUHnrz9aAOR0Px1bXt22m6tCdL1JeDDPwrn/AGSetdcOeRyKydd8N6X4itfI1C2WTH3JOjofUHtXJ48T+B2G0ya3oqDjd800K/XvQBq+OPv6D/2EU/ka63ua881rxJpfiS30KfTbhZMaim6MnDp8p6r1r0PvQAUHpRR2oA4f4hj/AEjw7/2Eo/513B/qa4n4gqXu/DiqMk6nGB+ddt19u9ABRRRQAVg+Gf8Akseof9gxf/QhW8elYHhlgfjLqQB6aYo/8eFAHqVFFFABRRRQAUUUUAFFFFAGfrn/ACANR6f8e0nX/dNeB+FtC1/T/DdprPh2/MhmQNNY3B3RyH/ZP8Ne+a5/yANR/wCvWX/0E15n8PHEngjTvZCOaAE0TxxZ6jcDT9RjfTNTXhoJ+AT/ALJ7+tdSDkA+vesrW/Del+IIDFfW4LYwsq8Oh9Qa5QjxR4H5Ctruj5wc8TxKO/8AtCgDs9b/AOQFqA/6dpP/AEE1h/Dn/kR9P/3T/Opx4k0vxB4a1CWwuVdhayFoTxInyngqarfD+WO38B2Es0ixxhTl3IAHPuaAOs6daXH4frXIan8QtLtpDb6XHPqt30EdqhKg+7nAH61S+weNPE6L9uuYtCsm5MEI8yc/7zcAfhQB0eseKdG0JM397GjH7sanc5/AVyep614g8YWE1jomimCyuEKNd3p25HqFrotJ8EaJpR8wQNd3P8VxcnzHJ/HpXRADGAOAMADigDxiy0qDTNRSLx8t7MVKpbys5NrgDA4GMfjXrunx2Udqn9nJAkGPk8gAJj2xUl1aW99C0F1DHLE/3lkXNcbP4U1TQLh7vwpeExfefTrol0I/2W/hoA7jHX5QCepxyaK5bRfHFnqE32LUYm03Ul4a3uDgH3VhwRXUjpntQBxvxH/5All/1/Q/+hGvZBXjfxHP/Eksv+v6H/0I17IKAAjIrx74n6ONd+IOg2bXM1uTZyussLbWVg3BzXsJ6V5f40kCfFfw6D/FZyj/AMeoA5+PXvEPhB1g8Rw/2hp4UKmoQLhsf7a967LTdVsdXtlubC5jniYZBQ5I+vpVpo1eNo5AGUjDAjOa47U/Ar293/aPhi8OmXhOWhAzDKfde31oA7MdvrziuG1of8XW0I/9Ob/+hGpdN8ctbXg03xRaf2ZeE4SbJMMp6ZB/xxUOrOknxR0GSNg6Gzchgcg/Me4oA7qgfh9Ky9V8R6Roq51C/hhPB2Z3N+QrmG8Xa/rspj8N6I0cJyPtuoDYhHqF70AdxNNDbxl55UiVRks5wAPrXJXnxC08zm10a2n1a7HAWBcJn3Y8Cq9v4Bl1CUXHiXV7nUZM58iI+XCvtgda66x0yx0yLy7G1hgT0jTHHv60AeVa1o/jfUb19aliFvHKgintbKbbL5YIOMnv9K6XwRD4Q2MumW4W+U/vVu+Zw3fO7r+Fd0TnqSawNc8H6drbeeBJa3w+5d27bXB/rQBv8AHGCOhA7e3NHauEXXPEHhJ1g16BtR08cLqNup3IP9tO34V1+narZavbLc6fdRXELDgoe9AFysf4W/8AIa8Yf9f6fyNbA9j0rH+Fv/Ia8Yf9f6fyNAHpdFFFABRRRQAUUUUABryTwy6/8JP4wXv/AGox/QV60eleQeHHjj8b+L7cyL5p1Attzz0FAHW0Uds+9FABXF/DYg6PqAB5F/Lx+NdpXD/DT/kH6p/1/wAn86AO4ooooAKx/Ff/ACKeq/8AXs/8q2Kx/Ff/ACKmqj/p2f8AlQA/wz/yLOnf9e6fyrV4HX+Wa5rTtc0vRPCemy6leRQL9nTAdhk8elZE3jbV9ak8rwpo8kyE7ftt0SkZ9woGTQB3E1zDaRmWeVIUHVnIAFcfffEGwed7HRrK41e46EQpiP8AFjwahg8AXOqSi58U6tNqDZybaD93CjemAea7Cx0yw02ERWVpDAg6LGmKAPONJ8JeMrTUZ9csb210WaX5vsNujNFJ/vDOM+9eg6H8S4xeR6V4ot/7L1EjAlzmCY/7LdvxrQ6kn161U1HTLLVbVra+gSaIjGH7fT0oA7mORZFDI4ZT0Ycg/jUua8dtovE3gZvM0SZtV0gH57C5bLxL/sP1P0Nd34b8b6P4mUpbTNDdr9+1m+WRT6Y70AdPRSZ5pc0AI3SvEPF+gSa58Wr4W99PZXNvYxSQyxc8/wC0O4r289K8pvWC/GjUlxy2nxUAY9v4t1bw5OLPxdafuycJqEC/I3uw7V2tpeW19bpcWsyTQuMq6HINOnt4bmFoZ4kkjbhlddwP4Vxd34Nv9Gun1Dwje/Zznc9hcHdFJ9P7uaAO5IIGfX07Vw9kP+Lv6p/15R/yFWtG8dW91cHT9btn0nUwfmimOEY/7LdDVWyyfi9qRAyDZR4IOQeKAO4o/X6Vi6r4t0TRgVu76My9oovncn02jmueXxD4q8Rlk0PSE0+1PH2zUDzj1CDv9aAO0u721sYDNdTxRRr95nYACuSuPiBHdyNb+HNPn1W4H8YUpEPqxpbL4fQSzLc6/qFzq8/92Y7Yh9FGK6y0s7ayhEVrbxwxDoqKBigDyDUtA8WJdS6jqqzf2dduJLy20yba4wMZPcjB6V3fg2HwobLdoEMAZfv7lzKv1J5rrM568/WuW1rwTZahN9ssJpNM1FTlZ7cjDH/aXuKAOozg5Gcn+VFcPD4q1Tw7cLZ+KrT9yeF1O2BMbf7wwNtdla3dtf24uLSdJoiMh0bIIoAkf/Vt9DVL4N/8iZcf9hG4/mKuyf6s89VJ/CqXwb/5Ey4/7CNx/MUAehUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeefGKFLjwRFDIMpJf26sM4yC3NcadG8ReD3F1oUx1HScbmsZz86D/AGG7+v4V2nxfYJ4LhY9F1C3P5PVqE7oY2I6r/hQBi+H/ABdpniCPZFIYLtf9ZazfK6fh3rexz/nrXOeIPBum66wuQXs7+M5S7tzsbPbPrWJB4k1zwnN9l8U25uLTpHqUC9v9texoAn8f/wDIR8Nf9f8A/QV2/rXn/jO/tdQl8L3dpcRzQve5V0bIPArrdX8QaVokJkv7yKLPRM5Y/h1oA0/1+naoLq8trKHzbqeOBP7znFcVJ4r8Q+Ifk8MaQyQdDe3vA+oUZqW1+H4vZlu/EupXGp3HUxhtkKn0Cj/61AD7z4gJNcNaeHtNm1ebp5iApGp92NcBrmk+LdZ8YSC9aF7pLZZJLa3cxho/7uepNe2W1la2cIitLeKGNRjbEu38/WuUh5+LF172CZxx3oAh8Far4ZANpZ2CaVfxjbJbzAeYT/vHOa7ggnkgY9CKw/EHhXTPEUS/a4ylwh/d3Mfyup9c/wCNc3HqfiTwXIYtXifVdHXhLuIYljHqw/i/CgD0Dr70VR0rWdP1uzW6066jniIz8p5HsR2NXsH8vWgAo/HFIWCIXZgEHc1zGq+PdG064NrC0l9edoLUb+fdugoA6K6tbe7t2guYUkhYcoy5B968/wBUvG+Hlz9q8P6zCsJOX0i5cyK3+5jlasiDxt4nZvtEqaFYNzsj+edh6EnG38K2NJ8D6LoqvOkBubog5uLk72P0z0oA7DwP4uh8aeH11WK2e3PmGJ43OSGAGfw5rqK88+DoA8KX2Bj/AImdx/MV6HQBna7/AMi/qX/XrL/6Ca8H8OeFdSg8N6drPhrUDBdvH5kttL88Ux+nY17xroz4e1IYz/osv/oJrzb4fSeb4H03jG2PH60AQaJ45guLn+zdat20vUlG0pKfkc/7LV1wIIyOR6iszWtA07X7Q29/AsnHyv0dfoeoNcjt8SeBmHlh9a0NeiscTwj0J/ioA6DxyM+B9W/64H+Yq34X/wCRW0z/AK91/lXP694j0vX/AIf6tNYXSsBAd8Z4dOR1Fa+h39pp/hDTpr24igjW2UkyOB26e59qAN/37U13SNd7sEQclm4AHvXFXHj6TUHa38MaXPqU/eZhsiX8cc1FH4P1zXwJfFOsEIfm+x2YMaD2LZyaANHV/H2lWEht7PzNRu84EFqu4g+pPSuF8at4v1yPTBdQQaXFPchbeAEmUNjhmIH8q9U0rQtL0SARadZRQqB94DLH6nrXPeOxi88OheAdQAIHHagDnfCs2ieH78WHiHShZ6sAB9suW8xJz6qT0Nepo6yIHRgynlWByCPrVPU9KsdYtHtb62SWJxyCMEfQ9q4ttI8R+CnEmhynVNIzlrKc5kj/AN1u9AHoOAP8KKwtB8XaX4gRkt5DFdJ9+2m+WRD9O9bvGByefUUAFH40HgZJAA71ia14t0bQVAvLsGVuFhi+Zz+AoA2iu4FWGQeMdc1xWv6NZaLI2raPq6aHfDJOHBil9mT/AAqCTWvF3iNwNF09NKsG/wCXu95kb3C1esPh7p8V0LvWLm41e9Hzb7pvkB9QnQUAbXw2+JTeMZ5tNvLYR39tFveWLPlyrnG4A8ivSK8s8HRRxfFzWUjRURdMTCqMAfOK9ToAKKKKACiiigAooooAQ9K8T8WeHYPEHxW1SN55oJ4bGFoJ4nwUOD+f0r2xuleVXb7fjPqqY5awhOfpmgDCh8Ra54PdLPxPCbuy6JqUCHgerr6129jf2upWwubKeOeFhwyHIqeSKOaNopY1eNuqMMj8q4i/8F3ukXL6n4SuzbzNy9lLzDJ9B2oA7n+o/KuI8Jf8jv4q/wCu6/yFWtE8c293dDTdYgOmaoDhopT8rH/ZbpVPwm6jxp4rYsABOuT6cUAdzR14H1rmNW8eaNpc/wBlR5L687QWq7yfx6VkBPG/iiTbIYdC08nOAPMnI9D6UAdRq3ibSNEQtfXsUbjpHuy5PoF61yd14p8ReIbS4/sHSDa2ojYm8vv4hj+FR3rc0fwLoukSmdoXvLs9bi7fzHP59K3NQUDS7oYGBC+B6fKaAPDPD2mSada2+r+INLm1XSpThGjYkQnJySnQjNe1aHqGk31gjaPJA1uBwsQxj2I7Vj/DxEbwRZqyqVO8YI4+8ar6t4HaK9fVfDd0dO1H7zIB+5lPoU7fWgDs8AZwBjp0ori9L8cvb3Cab4otf7OvuglBzDJ9G7V2aOkiB0ZWQ8hl5B/z60ALRR7jv7VWvNQs9Ohaa8uYoEXqXb+QoAs9yc498ZrG13w9pOsQ776MRSR8pcK3lvH9GrAuPHk2pFrfwvpU2oTd55PkiX396jj8F6xru2bxXq8hTqLOzPlxj2J6mgCvpnxNuvCerJpF/fJr1gzKiXUakSxZONrnGGr3RTuCsOh5rxDxpoumaP4XtoNPsooYxeQj5Bz1HU9TXuOO9AAeleSfEXSLPW/iLotjfxCSB9Plyvod3Br1ztXl/jOTy/iv4eGPvWUo/wDHqAOb+y+JPAylrR5NY0VT/wAe7nMkI9vWuq0LxNpviK332U2ZFGZIXGJE9ivUVrnt169jXK674Is9Suv7SsJG07VU5W6gO3cf9r1FAHVdPX8aK4O18X6l4fmSx8X2+wMdseoQqfLc+9dtFeW09uLiKeN4WGRIrZU/iKAJvy/GlwQcHj61yOpfELS7S6+x6esmpXnTyrUbufTNURY+MvEbt9tul0SwbrDbf64j0LUAdBrPi3RdCGLy8Tzf4YkIaQ/gK5LUZde8e2r2lvokNpYN0ub6PewGeqg9/wCVdPongnRNDk8+3tBLdHrczfO5P1bJH4V0PpwB7UAeMeDT4l8M2F5NYQjUtPguXimg2gSAg/eHc16ZoHirTPEUX+iTEXCj95buMPGfQisj4ef8eeq8L/yEJev1q34g8E6frM/2+BmstTTmO6gO18+/qPrQB0+Off09KCDg1wUHinWfC8i2niyDzIDxHqMKfK3+8PWu2tby3v7VLi1mSaJ1yHRgwI+ooA5X4dZ/szV/+wrN/Ja7GuO+HX/IM1b/ALCs2D+C1097qNnp1u095cRQRL1Z2C4/OgC0OabJIkSM8jqqAcknGK4mXx7Nqsj2/hfS5b9163Eg2RL75PX8KYngzWNeBk8VaxK8R5Flakxxj2bHJoAqePfG+jSeH77TbOY3dxIm0+QC6p9SOBXr3hMn/hEdGGP+XKL/ANAFebeJ9F03Q/AGp2+m2kdtH5XPlqAW6dT1NeneGf8AkVtI/wCvKH/0WtAGtRRRQAUUUUAFFFFACHpXmHjlB/ws/wANSd/s8o/8eFeoHpXmPjn/AJKX4Z/64S/zoA2xQDjpxRRQBS1PSLHWbQ2t9bJNGeQGHQ+x7V4x4j8N6to3jWGx0C7up2+yF0QuN6JuOVUmvdOo5rgtQOPjNpgIznTSPw3mgCt4Jh8IXU5McbnWY+ZU1A/vge5G739K9GAA6DH0HT+tYOv+EdN8QKJJUMF2nMd1D8si/j1Nc8ur+IvBzrFrMLanpI+7fRLmRF9XA5oA7/nrnpRVLS9XsNbs1utPuUnibujZx7f/AK6u9D/9f+tABRznvkc0dOuQCeMjFZGseJ9H0Fc399FG56Rg5c/8BHNAGpLFFNGySoHR/vKwyD9a4jVPCz+Ht+p+HdSj00g5kt7hwIJO/fpR/wAJP4l1+Tb4e0g29q3/AC+XYK5HqF61LbfD6O6uheeIdQn1W4HIR2xEPYL0NAD/AAj47t/FJubN4fJvreMtIFYMjDplW7iui+DZz4OuiD/zEp/5iuAm1HTPC/xH1CPyTEj6asUMVtFks24cbRXovwm0290zwaUvraS3kmu5ZlRxghWPGaAO9rO13nw9qX/XrL/6Ca0az9c/5AGpf9esn/oJoA8K8PeCRc+GNN1bRLt9O1XygWZB8sp/2l6HpW3p/je4sLxdN8V232G6J2pcD/VTH2PQGtD4fSeZ4H03jGExW5qOmWerWb2l9bxzQOMFHXigCyjxyIHjcMpGQQetO/zjuK4BtC8Q+DT5nh6dr7SVOWsJ2yYx32Hr+FdB4f8AF+l+IQ0cL+Tdx/6y1mO2RPwPJoA36MZOO/pWbqviDS9Dg87UL2KAH7oY8t9B1Ncs/i3XNfQx+F9IZYicfa7xCF+qrQB21xdwWcJmuJUijHVnbaB+JrkL74hQTym18PWU2rXI4LRLmNf+BdDTIfADam6XHinUp9TmH/LEvthU+yjFdhZ2Nrp1qttZ28cEKcLHGoAA/CgDxfxF4W1yPW9M1iY2dhe3VyqpBbx8IcZy3Y121j41u9Ju103xba/Y5uFjvFBMUvv7VP474vPDnA/5CA4x7V1N7YWupWclneQJPbvwyOMigCaKaOeNZInR0blWVsgj696efy+tcBJ4b13wjL5/he4Nxp4JLabO2ceuwnpW3oHjPTtcd7Zs2l+nElpP8rqfoeT+lAFLxx/yFPC//YVj/nXY/wD6q47xv/yFPC/X/kKxdeM89a7JiApJPAPJ7CgBKPbHauc1rxvouiv5MlwZ7onCwW43vn3ArFNz408TY+ywpodgx4eT5pSPUelAHVar4g0rRYvM1C9igHZSwLE/TrXOfDjWYte+K+q3ttDKkJsFAMilS3zDnBq3pfw+0axuRe3avqN91M94d7E+vPFXfCAA+L2tAAD/AIlqcAY/jFAHqNFFFABRRRQAUUUUAFFFFAFLV136Lfr628g/8dNeX/DsbfBVko6DOK9R1T/kE3v/AFwf/wBBNeX/AA8/5Eyy/wCBfzoA6mjgdhj8qKKAOL8W+CtOvbO91K2aSxvkidzLbnG8BTkEDrkZFeZaBE9vp9lL4sF+2hyL/ozwk+UDn+MDp+Ne563zoOo5/wCfWT/0E1z3w8jiufAVlFNGjxsGDAjgjPegDb0K00e305G0WOAWrLuV4QMH2JFaeOgwOnPp+FcRd+CbrSLt9S8J3ZtJSSzWbn9zL9B2qxpHjqF7ldO122fS9Sz9yX7jn/ZPSgDsKKQEMMqwI9RS4PYUAFBweozTZHSNCzuEUclmPFcrqPxA0q3na005ZNSvRwIbVS+T7kcCgDZ1nw9p2vW3lXturlfuSIMMv0Irhr/WNR+Hk6rPqEOp6WSFWGSUC5iH06kVoi18Z+JUP2ydNEs3H3IhumI9Ce1Wf+EG0TRdGvZxb/arvyWJuLn945OOxOaAKPjDVrXWfB+k6ha58m4vYGTcMH7xzXuI6181aZdN4j8I+HtC0m2nuru2nWSdkjO1F8wtyx4/CvpUcmgBx6V5f45T/i5/hqTv9nlH616hXmPjr/kpPhn/AK4y/wA6ANvuKPX3oooAp6lpdlq1q9ve26TRHggj+XpXjfinwxqeheLbG08OXty7vbO8KO/zRrk5VSfxr3DuK4TW32/FjQBjratn/vo0AZ/gqHwndXTLLFKNbiP71NSJ8zd6jd94da9KVVQYVQo7ADA/KsPX/CmmeIY/9Ki2XC/cuI/lkT3BFc6t/wCJfBjLHqCPrGkKPlukX96i/wC0O9AHf9ug65x6UVnaNr2m6/aC5026SaPuAeV+orR7f40AFFHfGCe3H+f8azNW1/S9DhEuo3sMIPAUuCSfQDrQBpMiyJtcBwezDIrjdY8HJZyPq2hXw0q7PLBziGT/AHgeB9agfxdrWuSeX4Z0Z2hPH2u6Uqg9wD1pyeAZ9UuBdeJtWuL9wf8Aj3jYpEvtjvQAeE/H6azqzaJepGNRXd+9t38yKUKMkqR9K3/hYQda8Y4/5/0/ka4zW5NI8I+P9FlW3S0tI7SZQkMXcggDA9zXafCe0vIm8Qalc2ktvDqF4JYBKpUsoU84PNAHpdFFFABRRRQAUUUUAIwypFeC3Hhf+3fGviy6tryay1CC/wBsU0XTG0cMO46170eleSaDIT478Ypj/l+zn/gI/wAKAM2z8Y6joFyuneLrYR/wx6hAMxSfUdQa7eCeK6hWa3lWWJhkOpyCPqKbd2lvfW7QXUKSxMMFXGQa4e58Lax4Vla78J3BltmbdJptycqR/sHtQB32DiuI+Gv/ACDtU/6/5P51paD400/WpTaSg2OooMSWsx2nP+znrWX8OZI4tM1Z5JFVBfyZZuAOfegDuaPU9vXtXI6l8QtLt7g2mnRzand52iO2XK7v97p+NZ40vxp4ndjqt2mjWLH/AFFtzKw9Cx6fhQB0WseLtG0RcXN2rTnhYYvndj6ACuM8Ra94o17w3fy2elJpumiFt812f3sq/wCyo6V1+i+DND0IFrW0EkzfennPmO34mneMx/xRerY727UAeXeH7KDw79ku/FelzXltOqtb324ukS46FMcV7Np91ZXloJtPkhkgI+UxEYHtx0qh4dhim8K2EUsauj26blYZB471zl/4LvdGuX1Dwhd/Z5ScyWUnzQyew9KAO6Azz/PtS1yWi+OLe7uRpurwHTNUHDRSn5GP+y1daDkcc49OcfWgAoo+o9uPWqOpaxp+j27T313FCq9dx5P0HU0AXuoznn1rnfEPhvSL1DfSyGwu0BKXsTeW6n1J7/Ssebxpqmt/uPCekyTr0N3dHbGPoByaWHwFcatILnxTqs9/J1+zQfuoV9sA8/pQA/wl8VLuDxBa+GtUni1UTSiCDUbddu4k4AYdCfoa9nHUV41q+n2em+KPBkNlbQ28Y1FcLGuPz9a9mAxQAp6V5TqShfjPdsOrafGf516qeleWap/yWW4/7BqfzNAHQ0UUUAZmsaBpuvW3kahbLKo+6w4ZD6g9q8Z1PQda0rxpfWWkXV5dQxQI0xU/vfKwMgH6V7yK4Szb/i8mpgjJNlGMkZ7UAJ4Gt/B90DNpsYbUF4kW95nX6g13mMdRyPz/ABrm/EHgvT9ccXSl7PUF+5dQHa3446/jWKniLXfCUgg8SW7XenjCpqMK5OPVwKAO+Oe9FVNO1Oz1azW6sbhJ4W6Mhzz6VbHTOR+NABSgmkII4PB7ZrG1nxTo+gj/AE+9jRzwIxyxPsBzQBrTQRXETxTxLIjjDBxnOa4bU/C8nhzfqfh7Uo9PA5ltrlx5Lj2z0p//AAkXinxBIF0HSfslo3S7vQVJHqFqS2+HsNxdfbPEF/Pq9wpyEkbEQPpt6UASeEPHVt4pS6tTEIb23QtIFIZGHTKtnkV0PwaIPgy4I/6CM/8AMVwEuo6Z4Y+IuqReSYkk09Y4YraEnLEjjAr0X4S6de6Z4L8u+tnt5ZruWYI4wQrHjIoA72iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACg9KKD0oA4D4voH8D8/w3kB/wDH6sW5zbx/7g/kKh+Lv/IjN/19wf8AodTW/wDx7Rf7g/lQBJ/Oo5oIbiFoZoleNuqMuQakoPSgDyHxx4Mt9M1jSJNIuZrNLu72+UpLIjYHKjtXa6R4C0fTWE9ykmo3uctc3jbyT7DoB7Vn/ENtl74bbA/4/wD+grufX0oARVVVCqoAXgADpS/rRRQAHmuNh/5Kxcj/AKh6fzrsu9cSjMvxelX+9p65oA7akZFkQo6hlIxg9KWigDi9V8CmO7bU/DV22mX/AN5kUZhlPuv9az08e67Hcto0vhx5dcjBJCS/uynZ/YZr0T04H5Vx1rn/AIW3eDPTShj/AL+LQBTHhPX/ABDL53iTWDBAefsdj8oA9C1dVpXh/StFjCadYxQ/7QGWP1NadFAAcf8A66bJzG2f7p/lTqbKcQyH0U/yoAo/B/8A5FO+/wCwpcf0r0OvOvg22/whet/1E7j+lei0AUtYXfol+vrbyD/x015j8PBt8FWAB4wcV6fqv/IJvf8Arg//AKCa8w+Hv/Il2H+6386AOopMDuOvX3paKAPPfiF4N059Av8AVrUSWd3GhLmE4WUZ6MOlJ4V8A2NxpVlqGsXNzqMrxKyQyttij44IXua6Pxz/AMiTq3/XD+oqfwm27wnpR9bdc/lQBqW9tb2kIht4UhjHRUXAqUcDA4oooAK43x3/AMfvh3/sID+Rrsq4r4hMUn8PMOo1Bf5UAdqBgnBo6/XPWgd+KKAOb8QeC9O1rNxGXsr9eY7q3ba2ff1+hrnpPFXiLwfJHYa9YnUxIRHa3Vt8hlbsGXsa9F6c1x3jf/kKeF+3/E1j6fUUAU/sPjPxUA11cpoNk3PkwfPOw924x+FbmjeCtE0UB4bYT3PV7i4PmSE+5roSOT+OfzooAO3+HFAHGO38qKKAMLwj/wAlf1v/ALBqf+hivUK8s8HPu+MGuDuNOT/0MV6nQAUUUUAFFFFABRRRQAh6V5XqCbfjPevnltOj/ma9UP3T9K8t1I/8Xku/+wbH/M0AdBRRRQBl614e0zX7Yw6hbq/92QcMh9Qa8v8ADnglrzxTrdhNrN8LW2mCuEfDyjtuavZOxrhvCbY8feK19ZVNAHS6V4c0fRY9unWEMI7tjLH3JNanXrzj15o69efrRQAdqrah/wAgy7/64v8A+gmrNVtQ/wCQbdf9cX/9BNAHP/Dv/kS7L/gX/oRrqa5L4bMz+C7TPZnH6mutoApanpNjrNr9mv7aOePsHH3foe1cVJpXiHwR5lzo07apo4yzWlw2ZIl77X7j2r0Kq2ogf2ddf9cmGfwoA4eDxV4l8WxD/hHdKWytXGDeXjBvY7VHXpV7T/h7bmcXev31xq92R0mbEa/RRVv4df8AIh6Z9JP/AEY1dRQBFb20FpCsNvEsUa8BUGBUowOgx9KKKAOO+JHOgW5PP+mw9f8AeFexivG/iU+zQLUY4N7D/MV7IOlAC15h43QD4neG37m2mH6ivT68y8cc/EvwyP8Ap3m/mKANukxmiigCG5tLe9t2t7qBJoWGGjdQQa8sXwdZS+PrnQFur2PSVgW4+yJO4TJ7YzXrNcLA+PjHdL2awX+lAHV6bo2m6PAIdPsobZQNpEaAZHv7+9X/AG9O1FFABRRRQBx3w8H+har/ANhCX+ddj/P1rifh0SYdaGeBqEldtQBHLBDcQtDNGkkT8MrjINcPeeDb7QLqTUvCd0YieZNPkOYX/wB0HpXeUHpQB5B4MvvGF3ZX9npdjb2+6+lee6m5EbYXIA711Vj8O7R7z7br97caxd9QLlv3an2XpUnw640vV+p/4ms3X6LXY4xigCOCCG1iWKCJIkX7qxqAB+AqQ4xxmiigDnPHn/Ilap/1y/wr0Dwz/wAirpP/AF5Qf+i1rzz4gPs8EamR3ixXofhnI8LaQP8Apyh/9AFAGtRRRQAUUUUAFFFFAAeleW+PGK/ErwvjvFKM/jXqJGQRXE+OvCN/rk1jqmkXccOpafuMSSrlJM9QaAJD97FFcvYeLjHeDSvENm+laoByJD+6k91bpj2611AwwDA5B6EdKACuB1If8Xl0w9v7PP8A6Ea77Brg9S/5LDpf/YPb/wBCNAHeUhVWUhgGU9Qec/Wl7UUAcZqvgQRXban4bu30u/Jy6r/qpT/tL0qj/wALBvtImXTNa0Oc6oeI1th8s+OpHYeteg/SuM8QHPxH8Knn/V3OPySgCu1t408TbWmuY9CsXHMcA3TMPdu1a+j+BND0iT7QLb7Vdnlrm6/eOx9ec4/Cuk7k+p5NGB6UAJgenT1pfr65oooA53wxFHJ8Y9UZ41Zk0tCpKglfnHSvUwMf/XrzDwn/AMlj1b/sEp/6MFeo0AFUtXUNo18p6G3kH/jpq7VPVf8AkE3v/XB//QTQB5f8OwF8FWAz2P8AOup/HFcv8Pf+RLsPo3866igAwO4964r4heH7CbQbvV0j8nUbVDJHdQsUbPTkjGetdrXPeOcf8IRq3A/1P9RQBleE/Bulf2da6vfRyX+oXEau014xlIOOgycCu1VQiBEAVR0UcAVj+Em3eEtKJ6m3XP5Vs0AGTRRRQBxvjv8A4/PDv/YQH8jXZEYzn1rifiGSs3h8g4P9oL/Ku2HSgA6HtmsHxF4S0zxFCDcRtFdIcx3UR2yKfqOv41vUUAeO+JR4q0LUNCtLwLqcEF/G1rccB5GyPlb3rpToPivxRGG1zUf7Mtev2Sy4YA9mc1b8b8ap4Y6/8hWP+ddljHTtQBi6L4U0XQUAsbGJZMczMN7sfUsea2s80UUAGKwvCP8AyWDW/wDsGp/6GK3a5/wc+74w64PTTkH/AI+KAPU6KKKACiiigAooooAKKKKAKeqf8gm9z08h/wD0E15b8OGL+DbXI6M+PpmvWbiJZ7eSJukilT+PFePnSPEXw88yMWx1fQNzOHt02zQZPcdx9KAOyyD0orP0jW9P1y1WfT7hZV7rjDL7FeorQ98+w96AKOtf8gHUf+vaT/0E1z/w0/5Eax/4F/Oug1n/AJAeof8AXtJ/6CawPhr/AMiPY/j/ADoA62s/WND03XrP7LqVtHOn8JcfMp9QeorQo6dKAOANh4n8FlpNOmk1jR0HNrOcyxD/AGW70sHj3Udf/deG9Clkc5DTXWVjjI6g+uK71j8pyOxrkPhvx4duRk/8f04/8eoAqx+CNT1p/O8Ua3PdLn/jzt28uEe2Fxmur0zRdN0aDydPsoLdO/loAT9T3q/2/wDrUUAHfPeqOsj/AIkl90/1D/yq9VHWf+QJe/8AXB/5UAXPhVCkfw10ZkRFLxsWKqBuO9uTXaAYrkPhZ/yTTRP+uTf+htXYUAB6V5b49Yr8SfC5HeKUfrXqJGQR61xPjnwjf67NY6ppN3HBqWn7jEsq5STPUGgCXuaSuWsfFxhvF0vxFZvpWpD5TvOYpD6q9dSCCNw5B6Y70AHauD18Y+LGgf8AXs4/U13h6H6Vwmv/APJVdA/69n/9CNAHd49s0EZyGGQfXnNFFAHH6z4Fhlum1LQrh9L1LOS8P3JT/tL0P5Vnnx5qegyLYeJNJlkvWJWGW1Tclw2B09DXoGPp+Vcb4wAPiTwoCB/x/Ef+O0AVifGniZF2GPQbJuv8c5HHJ9K0tJ8AaJp832q4jfUb7+K4vT5jH3weB+VdUSTkk5ye9J+uOme1AAAAoUDCjoB0FA7f5xRRQBy4hjn+MegLJGj4tJ2G5QedteshSD14rymH/ks2hf8AXnP/AOg16xQAUUUUAFFFFABRRRQAHpXkmjII/iD4vweWuVJ/75Br1uvJtJ/5KF4u/wCvlP8A0EUAdNQMDPoew4oooAw9f8KaX4gjzcRNHcqP3VzF8rofXP8AjXnPgXwQmrQXv9o6peSWkF08f2dH2LIQeSx75r2KuG+Gbf6Fq6joL98fmaAOr03R9O0iPy9Os4rZQMDy1Gce5q6AB0pevXn60UAGT6n86wvGf/Im6r/17tW7WF4z/wCRN1b/AK92oAseGufDOm5/590/kK1evXn61jeFGZ/Cmls3X7OtbNAGXrXh/Tdft/J1C3WTH3X6Mp9j2rjpn8R/D9DK8j6zoSHP7w4mtx9c816LWD4048Garjj/AEdqAOej1jxd4uiDaRaR6RYSAFbu4y8jqR1UDp/9etDS/h9pltL9q1OSbVr09ZLttyj3Vegrb8OAf8IvpHA/48oOn+4K1KAGxxpFGI40VEXoqjAH4U7GcZ6A0UUAcr4l/wCRw8H/APYRWvXBXkHiV/8AitPB6Y4OorXr4oAGOFJ9K8o1VyPjTKo6HTk5P416uelefeM/COsz67F4m8PTwtfRw+S9rOnyyp6A9jQBfornNJ8YWt5dnTdRgk0zVE4kt7jgE/7J6EV0f0weeSOaACuDs8/8Lk1D/ryT+Vd53xXCWv8AyWO//wCvJP5UAd33zSOiyoySJuVhgqecj3zS0UAcRqPgaWxuW1Hwpef2Zcnlrcf6iU+hWq3/AAsW9sZ/7M1PQLr+2BnbFbn5JB/eB7CvQOlcdqBI+K2j4PP2GbmgCq2n+NPEhBu7xNDsnH+otgDLj/ab1rY0fwPoWiyCeO0Fxdd7m6/eSMfXJziuj7fjmigAzj86P/10UUAc74Uijk+MOsM6KzJpyFSwyVO8dK9UC4ry/wAIf8lf1v8A7Bqf+hivUaACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKQnAzS1Bczx21tLPNIqRRoXd26Ko5JP4UAShs4606vNfhTrGseJ4dZ8SX9xL9ivLwpYWrAARRJ3Hr1C/VTXWeLvEMXhbwtf6zMof7NHlUzjfISAq/iSKAN3cM4zzQehrz74afEU+PIr9ZrFbK6s3XdEJC+5GBweQO4IrrfENre3vh+/t9NuWtr54GFvMhwVkx8v4ZxQBphsn8adXB/CnxVN4r8F29xeuz6hau1tdFsZLrjDfiCPxzXeUAFIeAaWkPI5oA4L4wEjwFIR2uof/QxU1qSbSE+sa/yFavjPw2/inwzc6XHcCCVyrxuVyAykEZH4VwFt4jvfD1zHpPiyz+xyLhIr2M7oJuOuf4aAOvopsciSoHjYOh6MpyD9D3p1AHC/EUf6V4cP/T+K7quH+If+t8Pf9f4ruKACiigcnAHNABXEJ/yV9/+weK6+8v7TT4jLd3UUMY7u4FebxeJ9Nb4k/2sXmTTXtfIW7eFhGX9M9qAPUKKbE6TRLLE6vGwyrKwII9QRTvwoAB1rjrX/krd5/2Ch/6Gtdj3rjrT/krV7/2Ch/6GtAHY0UUUAFMm/wBRJ/un+VPpk3EEh7bSfXt+lAFL4ORmPwbcEnIfUZ3H4kV6HXAfCIgeC3H/AE+zdPrXf0AU9V/5BN7n/ng//oJry74dMW8FWWf9rH0zXq9zGJraSInAkUoT9eK8bih1r4bILLUrT7bohctFeWw+aLJP319OlAHb0VVsNSstVthc2NzHPEwyChzj/D6VaoA5/wAcAnwVqwH/ADwP8xU3hHjwhpX/AF7r/Ko/Gn/Imar/ANcD/SpPCH/Io6X/ANe6/wAqANqiiigAriPiJ/rfD/8A2EF/lXaySJDGZJXWNB/ExwK808d+JNOv7zS4rB5bz7Fdia4aCMsqIO+R1oA9NFFVNO1Oy1W1W4sbhJ42GflbJHsfQ+1W8flQAHpXHeOP+Qp4X/7Csf8AOux7Vx3jj/kKeF/+wrH/ADoA7I0lKaSgAo7iikyPfFAGB4LjP/C29flyMfYI0x/wIGvU68y8F/8AJUvEHQj7JHyPqK9NoAQnApN3OKVvunFeZ+CNe1PxX498R6gt7J/YNiwsrWAEeXJIMZcfkT9HFAHphbFGc+teb+OfiNqHhfxRp2gaZoP9q3l7D5sYE2wk5YYA2nP3SetZl38XNd0Fon8TeBb6xs2IDXMU/mBf/Hcf+PUAetFhjrjmhWJPOfyrOt7qHWdIjubK4Y293CHinj67WGQw9CM1xPwo8R6lqUGr6Drtw0+r6NdtDJI3V4yTg/mrD6YoA9Ib7p+leVaoxHxpuF9dNQ/qa9VbpXm/jPw1rieJI/FOieVcyR2/kTWUgwXQHqrDvQBrdvxorB0PxZY60TCd9pfJxJZz8Oh9vUVvfpzQAVwvhMEeP/FOf76mu67j61w/hf8A5KB4n/3koA7iiiigAqtqH/INuv8Ark/8jVnoP61geIPEuk6ZZTQz3iGeSNkSJBucsR02igCh8NP+RKtv+uj/AMzXXVwfw01ezXQYtKmdre/jdmME42MQTkYz1rvO3/1qACq2of8AINuf+uTfyqzVbUP+Qbc/9cm/lQBgfDr/AJEPTPpJ/wCjGrqK5f4df8iHpn0k/wDRjV1FABRRR2PrQBxvxHjMuj2EYPJvouv1FexrnJzXkHxA40/TTjj7fFjPHQj869fHX09qAFPSvL/HbkfEzwvt6GGYfqK9QPSuK8ceDrvxBNY6npd8LXU7Dd5O9QyOD1B+tAD+5xRXK2HiyS1vhpXiW0bTdQXgOf8AVS+6n/8AVXUqwdQykEEZyDmgBT0NcLGMfGOc/wDTgK7quHX/AJLDJ/14CgDuKKKKACgdaD0z0x1zWFqvi7SNI+SS4864PCwQrvdj9BQBi/Dj/U63/wBhB67evNvBWspolzeWet2lxpr31wZ4GuE2qyt0+boPpXpCsGUMpDKeMjn/ACPegBaKKD0NAHHfDr/kGav/ANhWb+S12Ncd8Ov+QZq//YVm/ktdjQAUd6KKAOZ+IC58FagucZQD9a9H8Pp5fhzS0znbaRD/AMcFecfEB1XwdegkKSAACR1yK9J0Q/8AEj04f9O0f/oIoAvk4GaYXA9c9SO4FOb7pxjPbNeZeJte1TUPiv4f8KaPdyW0MA+26i0ePmQHIQ/UKP8Av4KAPTQ3PtSlsVheI/EOneF9Fl1TVp2htkGPlGS7noqjuTg4zx64Fee2/wAUfGGtJ9t0DwJNPpvOySWYgyrzyOB6EcZ5z1xQB69uB6fyoDZOK43wT48Xxeb22n0q60rUbDb9ptrgfd3ZwQeDjKnqBWP4I8QanB8QfEvhDWbuS6kt3+12MsmM+S2Pl/AMv45oA9MpCM0A5paAMrWtA0zX7NrbU7SOdMHaWHKn1B7GvOL3w74m8Eh5tIeTXNJB+a1k/wCPiFfY/wAQr1sjIxTSmRg8/WgDzfRPEum69Gfsk22dR+8tpBtliPoymub1Lj4xaXz/AMuDY/77Nd94l+H+ma/N9uizY6og+S7g4bPv6/jXleo23iDwr460/U/FCeZZxQNbrfwIWQ5Octj7poA9SzRUNrdW17bJcWsyzRPyrIQQR9am/PrQACuN8QD/AIuL4W/653P8krsx1rjPEH/JRfC3/XO5/klAHZUUUUAFHaijv/nmgDnvCL7vjLrOP4dLUf8Aj616pXlHg3/ksmt/9g1M+3zivV6ACqeqf8gm9/64P/6CauVFPGs0EkTZ2upU49DxQB5N8OSW8E2ROOrY+ma6v2rj5NF8QfDpX+zRHV9A3s21F/fwZPfHUVv6Rrmn65aiewnEg6spOGT2I9aANGuf8cDd4K1YD/ngf5iug/EZ9PasLxp/yJuq/wDXA0AP8If8ihpX/Xuv8q2qxfCH/Io6Xn/n3WtqgAoHWlx/9bPeq91eW1lF5t1OkKdSzkD+dAHH/ET/AFnh/wD7CArt68w8Wa8PEM+ntoun3l/b2FyJp54ojs2j0Peu90fXtP122E9jOGwMPGRh0PuO1AGlR2pM84pe1AHHeOP+Qp4X/wCwrH/OuyNcb44/5Cnhf/sKx/zrsjQAlFFH4ZoAB1FYHguM/wDC2Nfl3f8ALjGpH/AhW/79vU1h+CZFf4oeIdjBh9ljyVOccjigD0+g0Uh6UANL+mTQG+YDk5rzX4l+IdTj1Xw94W0G8e11PVLoNJPFgtFCDgn8eT9ENbfxB8Yt4E8MpqyWf25zMkAjMmzqCck4J/h/WgDsqTNeS/8ACzfG626XD/DS9eBlDbobkuSp6EARn+VdH4L+JWj+M5Zra2E1tfwDMlrOvz46FhjggHg+nHqKAO23ckUBsnFef/Fe91rR/C8Wt6NdyRvp11HJcRjGJoycYP4kfga7LSdRt9X0uz1G2OYbuBZ489drAEZ/OgDQPSmFFKkFRg8Gn0UAcH4i+HFnqFz/AGjo1y2k6mD/AKyH7kh9GFc2via/8PXo07xhZGzZjiO/iG6CU9OT/Dn3xXr5HHeqt9p1rqNo9reQRzQOMMjjINAHD6pLHP4evpYnV42tpMMpyD8p796wvhr/AMiNY/8AAv51Nr3w71bRLS6fwfc5tZYnV9NuGyOQfuHt64rJ+Her21ppMXh+/LWeq22fMtrhfLbnuM9aAO9oo5ABPTsfWigBG+6fpXI/Dj/kXbn/AK/5/wD0Kuub7p+lcj8OP+Rduf8Ar/n/APQqAOvooooAKz9ccJoN+x7QP/KtD8KzPEJH/COagcj/AFDfyoA1fhZ/yTTQ/eFv/Q2rsa434V5Hw00IHP8AqW/9DauyoAKQjIpaKAMvWdB03XrT7NqVqlxH23DlfcHtXnN94Z8SeCw02iPJrOlA5azlP76If7J7ivWSMikwcY4x7UAea6J4n03XlKwSmO5XiS1lXZLGfcGud17P/C1fD4PX7M//AKEa9A8TeAdJ8QyG7CtZako+S8t/lfPbOOv415TrFl4j8MeMdK1PxIn2nT7ZDENQto8gj1cAcGgD1HvRVeyvrXUrZLqzuI5oXGVdGBB/LvVjt+lABXHeLx/xUnhT/r+P/oNdjXH+L/8AkY/Cn/X+f/QaAOwooooAKMZooJABOcDsaAOYgcH416GoHSyn/wDQa9aryO3/AOS4aPweLOYdP9k165QAjHAzTVbP+RSuMqRnFeaWev6p4h+NFzpdleSxaNolv/pUakYnmYYAPHYsf++KAPTMjOO9BPFcF8RvH8/gZdLW20sahPqErRRoZvLwRt9jnJYVkf8ACwPiE2QPhtN/4Gj/AOJoA9TLduc0Bsn8a5yU6zrfgiUqkmkazcWpKIHDGGXHyjP1Az9ayPhT4qm8V+C7e4vXZ9QtXa2ui2Ml1xhvxBH45oA7w15HpLH/AIWR4uXsJozx/uivW2ztOOteV+I9A1/w94ov/EukwJqNne7WuLQfLJHtGMr60AdF/npRWRoniXTdehLWs22YcPby/LJGfdTWvQAVwvwzGLXWR/0/vXdVw/w4/wBVrQ/6f3oA7iiig9OKACsLxp/yJmrf9e7VukgAsTgA4PoK43xv4j0xdBv9MiuBcX08RRIIB5jfXjtQBseEf+RS0v8A691rarlvA2s2V34dsrJJgt5bxCOW3f5XVvoe1dTQAVgeNP8AkTNV/wCvdq36wPGv/Imar/17tQBc8N/8ivpP/XlD/wCgCtOszw3/AMivpP8A15Q/+gCtOgAo60UYJOB1/p60Acn4iiaXxz4PwcFb7d+VevA15Lrf/I9+Ejkf8fZPPcV6yOv86AHHpTdtOooAwvEHhTSPEtqYtRtVdwMJKvDofUEV59dad4p8CoGUSeINFXoyj/SIV75HcD8TXrx6Uwrn0z0oA890fXtN122EthcCQD7ykYdPqOtctajHxivj/wBOSfliu18RfDqx1O4fUtKkOl6rjPnwcCQ/7Y6EV5rG+r+FPiC994vi8qKeBYFvYUPkvjgHI6fjQB6hRTIporiFZoZEeJuQynIP0I68U/8A/WPpQAdq4/UP+Sq6P/14zV2B6Vx+of8AJVNH/wCvGagDsKKKKACjsaKOCOM+lAHP+DnD/GHXcA8acg/8fFep15R4K/5LFr4yCf7PTOP98V6vQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAAelcJ8XtTbTPhdrUkbFZJkW2GPR3Ct/46Wruj0NeafHWBpfhheOMlYriF3+m8D/2agDf+G1gmm/Djw/CihQ9kk7ADGGkG8/qxrjfi1K/iPxJ4Y8CW7tm+uRc3mw4KxLkfyEh/wCAiu88FzLN4D8PzAjD6dbk+mfLXP8AhXjOj33i3xL8Stc8XeF9Msb5IXNlA965VEQYwVwy8lRn/gZoA3dSC+B/j7p19Eqx6d4gg+zvgYUSZC4HphhHn/eNe05yD1r56+JNl8R9Y8OC913RtJtodMf7StxZSHzV7N1c5HRuB/DmvZ/BuvL4m8IaXrAA33EA8wA/dkB2sP8AvpTQB538NZP7J+MXjnQk/wBTLIbxFHAX584A/wC2oH4V7LXjHg/9/wDtIeLp05jjszGxH97MI/8AZT+Vez0AFFFFACEZFU9Q0yz1W0e1vraOeFxgo65q7SEZoA8o1DwZrvhBjdeFZW1DTtxL6bcN8yDvsb+ntVnRPFOn62XiRjBeIP3lrONrofTB616btrlfFHgTTPEq+cwaz1BeY7y34cH39fxoA4D4iD994fHcagtdx07ivKfGln4w0m40q01Ow/tOG2ulkhvbUcyj+6y9jXX2+ieN/FSBpzF4dsT/AAkebcEflhfzNAGlq3iTSdEj3X14iN2jX5nP0A5rIivvF3ieQLoGkrYWLcfbtROCR6hAD/Suv0P4daBoriYwNfXvVrq8bzHz7Z6V1wXAAHAHYUAcBpvwt05bhb3XL251m8HOZztiH0QHH612Fxo2nXFg9lNZQNbMMGPYAv5VoAYpcUAeUaj4H1vwmzXnhKY3VmW3SaZct90d/Lf+hqbRfFlhq8jWx32l/HxJaXA2up9s9R716fj1rmfE/gnSfEy+bcIYL5f9XeQnbIvpz3HtQBUPX0rjLNw3xcvlB5Glr/6GKknuvEXgaZLfXYH1LSuBHqNsnzIP+miVkabremSfFLUdQW+hNm2lribPyn5wfz9qAPRvfB/Cmu6xoXZlCD+I8D865STxjc6pc/ZPCukz6pKTg3BBjgX3LH/A1o2nw41XWJRceLdaZx1+w2P7uMexY8t+QoAqXvjfTkuGstMhn1W+AwIbVcqD7t0FOtPCfjHxRufXL2LRbFxxa2fzyuPRmOMV6JpGgaXocHk6bYw2y99i8n6nvWnjmgDJ8P6BY+GtJi03T0ZYUJbLtlmJ6kmtekAA6CloAQjIxUTwpIjI6qyN95SMg/hU1FAHm+ufDiS2uZdW8JXY0+8PzPasN0Ev4fw/hWZpvi7bdppXiC1bStUHGyZsxyf7SP6H0Ir1oisjXPDmleIrM22p2iTLghXP3kJ7g9RQBw3jQg+DNV6f6g9/cVJ4QH/FJaUOebde3tXN+LfDHirwxoF/aWLNrejzxlFDDE8H6fMKXwvH411nQbOx0vTI9LtY4VjN7fnlvXYgyfzxQB2d9qVlpluZ725hgjHd3Armv+Eq1LXW8jwlo818c/NeT5ihX6cZNdFpHwu0uCRbrW7mfWrzu1ycRqfZO1dzDbQ28SxQxJHGowFUYAoA86tPhneas6XPi7WJLt+GNpajy4VPpnOWH4Cu5sND0zS7MWdjZQQQAY2Io5Hv61pBQOwpcUAec678NxHdy6r4Vuv7N1Enc8BG6CY+6/wn3rJ0/wAWvb3i6X4ltG0vUugLHMMp9Vbt+NetkcVl61oGma/Ym01O0jni/h3DlT6g9qAMEEMARgqehXmuM8cOBq/hZT1bVI8Y+tWb7w94k8Dlp9KaTWtFHLWrkCaED+6f4h9SK5vxJ4k0zWtT8KT202wx6pGZYpRsaL/eFAHp55/Ok7ZPQcHFcvqPjWxgnNnpUE+rX3P7m0XIU/7TdBUtv4Q8YeKNsut36aLZsMi0tMtMfZn4x+FAE+reLtH0d/JnuPNuScLb243ufwBqlbW3jjxVMPs1tHoGmkf6+4+adh7KOAa7jQPBOheHFBsrJTOPvTy/PIx9cmuiC89B+VAHL+E/A9h4Wea4iuLi7vbgYmubhss34dq6qiigDE8Xak2j+DdZ1FG2vb2csiEf3gp2/riuO+Bdgtp8LrKcAb7yeadz3yHKfyQV0HxLhkuPhr4hSMZYWTv+C/Mf0FZfwZlWX4VaIVH3VlU49ppP8/jQBxnxJ1Gz0b44+EtQv5lgtYLQNLIwJCjdIM8AmpfiT8R/DXiHwfc6Bol2uo32oPHEiLGUVDvVtzMwA7YHuRTviBbQXnx68IW91DFNA9rh45VDKw3S8EHrXZeKfAHhC88N6gs+i6daCO3d1uoIEheLCk7tygcDGeeOOaANPwXpM2heD9I0m4fzJ7e3UOy8qG6sAfQE4HsOmK4K1dtF/aYuIE+WLWbAMydBkR5zj1zEfzq78BtSvNQ8BPHeO8i2t28MDseke1Ttz6Ak4/8ArVn6r/pX7T+hiM5+z6e3mHuMxzH/ANmH50AezZyKTaPQflS96WgDlvE/gjSfE6rLcI1vex/6u7g+WRfx7/Q1w0174g8Ez+R4iha+0kcRalbpyB/00Xt+FewkZHSopYI54mimRZI2GGVhkEUAcVY31rqVslzZzpNE/Kshzx/SuP8AC/8AyUDxRgE4dB+ldBrXw5ubC7bVPB12tlP1ksZOYZvYf3TXA6He+K7fxdrIXwrcPqN0y7kLYijI4yX7igD1VmVF3MQF/vHgfnXN33jbTILg2Vgs2p33aC0Tdz7t0AqzbfDnV9amE/ivWyUPP2GwykY9ix5P5Cu50fw9pOgw+VplhBbL0JRfmP1PWgDz6z8NeNfFBZ9Wuo9BsGGBBb/vZ2Huxxj9a67w/wCAtA8PDfa2gmuD9+4uD5jt+J6V0+3n1+tOxQBzHibwRpHiiJftcbQ3KHMdzAdjofr3+hrhbibxH4Hm8rW431PRwMR6hAn7xB/tp2+or2Aio3jWSNkdVZWGGBGQR70AcPp2p2WrWiXNjcRzxMMhkOfz9DRqR26XdtnIET9vY1U1z4bPBdNqXhO6XTLsnL2zf6iU/TtXPv4ukSzvdL8RWUmk6mIXXEnzRS8H7j/rQBc+HLBvAOlsAcEP/wCjGrqf6njHevP/AAV4m0nRfh3pIvLpRLsfEKgs5/eNwFHNalvP4x8V7l0fTF0iwb/l81D77D1VBnn64oA6G/1Sx0uAzX91Fbxju7Yz9BXOf8JNq/iDEXhPRpblWJBvLrMUP4cEtXSaN8MNLtJBc6vcTaxfd3uT8gPqqDgV28NvFbxCOKNEQDAVVAFAHnmnfDSe7ure/wDFWrPfXUZDrbQjy4I29AM5P1r0cA55pcUuKACkIyMUtFAGVrOg6br1g1nqdpHcQkYAYcqfUEcg/SvN77w74l8EyiXSWfWdDB5tpW/0iEf7LfxCvXCMikxx/WgDzjRfEem6/Cz2cx8xeGhkGHQ+hFc6ox8YZc/8+IrtfE/w70/XHN/YzPpmqjlbqD+I/wC0P4hXmo0n4gWPj1pX0iG8uTbCBbtDthYf329PpQB6XJIkKF5HVEAzuY4Fc1c+N7J7lrPRrefVrwDHl2q/KD7seBV2w+GV5qkou/FmsyXZ6/Y7T93CvsT1YflXd6Xoum6NCINOsoLZB1ESAE/U96APOrXwf4u8UfPrupLo9if+XSyG6Vh7yHp+ArtNA8E6D4aT/iX2KecfvTynfIx9cmuhCjOcU6gDM1nQ9O16wez1S0iuIGBGHHIz3B7GvOL3wr4i8EyCXQJH1bRhy9lOczRAf3H7j2NetUhGBQB5ronifTNfVhaymOdDh7aYbZIz6EVrt909fxqTxN4A0zxC32qJnsNTXlLu2O1if9odGFcY2s634SuFsvFdt5tseItVtlPlv6b1/hP50AM+GziTSNWYZAOqzfyWuzry/wACeKtJ0rQNRM1xvll1Kd4oYhveQHbjaB1HvXTW0fjXxap+w2keg6ef+W92N07D2Tt+NAG5qWs6dpFuZr+8jgUdATyfoOtc+mveIPEn7vwtozeSeDfXo2xj6Acmuq0T4Y6Jp0i3WoGXVr/qbi8bdz7L0FdmsSIioiqqr0UDAFAHndj8Lo7qeO88U6pcavdKQwiH7uBD6BAf1NehxxrGioqhVUYVR2HpTwvTjpTqAEb7prxr4Xv/AG58VfHmuSElo5RaRN/0zLsB+OIUr2U9OK8V+CSi28R+PbSU4eG+XOevDzAn9KAIvipu8R/FPwl4Sm3fYnC3EyA43BmYMOPRYyP+BGvZkhSNFiiVEiVQFVRgKB0AA7YFeLfFN28O/Fnwl4rmRhZDbBK+Mhdrnd077ZMj1wfSvZ4J45rdJ4pFkidQyMnzBl6ggjrxjmgCUQRrM02xfNYBS+OSB0GfxryDxy50T48eDdUjBX7cn2NwP4iWKc+v+sX8hXrq3MRuWt/NjMqqGKBhuCnOCR74P5H0ryD4quZ/ip8O7WM5kS9WQj0HnRc/+OH8qAPZhktn07U6mjORzTqACiiigBCARioZ7eKeJopo1eNxhkYZDfUd6nooA8z1P4c3Ok3EupeDLn7JIxLSafId0Eh/2f7tUtM8XRteLpet2z6Xqg6xTcKx/wBljwRXrBHFY+veGtK8SWRttUs0nQZ2seGQ+qsORQBiqQeRyO+O1cb4h/5KL4WH/TO5/klWLvRfFHgcPJbM2vaKGyI3H+kQDHY/xCuf1DxNpepeNvDV3DcBI4kufNWUbWiOE4YduhoA9KPXFIWCgk4AHUk8CuUl8Zvf3RtfDel3GqzbiDKFKQr/AMCJFXofh9r2vSLN4m1t7e3PP2HTf3a49Gcjcf0oAj1LxppOn3BtY5HvL3oLe2TexPvjpTbXSvHHiVz5gj8P2B55w85+npXeaJ4W0Tw/GF0vTre3OMeYq5dvqx5NbIXBoA5fwr4F0vwpLLc2z3FzfTrtmurmQu7jrjPYZrqqKKACg8iiigBpGRgjj0rhPEnw4tr+6fVNDuDpOq9Q8S5jkP8AtJ0/Gu9pCMigDyC28UX2jXKab4vs/sN0TtS6jO6CY+oP8P41e8ZMsngnU3RgytAcEHINeh6npVlq1o1rf28c8LDBVx/KvJvFfw/1/QtIvk8MXLX+mTxlWsLjl4h/sN3HtQBt+Ef+RR0s4/5d1z7VPqviHStEh8y/vI4iei5yW+gHJ/Kub8N+HPHOtaDZWcjw6BZRRhCxHmXDj1HYV3Oh/DjQNFZZ3ik1C+HLXV4/mOT+PAoA5FNU8U+JcL4b0g2to/H27UBwfdUHP8q29N+FVk86XniS/uNavAckSnZCD7IP6k16CEAUKAAB0AHFOAx9KAK9vaQWsAhggiiiAwERQoA+grjfEfw3sdUujqukzNpWrLyJofuSH0ZehFd3SEZH+NAHkEXiXUPD86af4vtPs0jNtjvoeYJvc/3fxrq45I5o1lidZI26MpyDXU6hptpqlm9rfW8c8LjBSQZFeaah4I1rwrM9/wCErg3lljL6XcnOB3Eb9vp7UAZ/jlwNY8Krz82qR4/Ou0JGTyB9a8q8ReKrHVNV8MGVZLO5ttSRrm3uBh4gOpOOorqZfGMt/c/ZPDGlXOrTHrMo2RL/AMCP19D0oA6ssqqSzBQOSSf69K5y/wDG2m29ybOxWXUr7oILVN2D/tHotT2vw61rW5hP4r1thCeRYaeSiAehc8n8hXdaR4e0jQYBFplhBbL3KL8x+p6mgDz608N+NfE7sdUu00GwYY8i3G+dwexc9PwrtfDHg/SfCsci6dFIZZcebPNJvkfHqa6ADFOxQAUh+6aWkPSgDxzTXXXP2mdSd+V0jTisWex2opx+Mr1a/aE4+HMJ7/2jH1/3Hqj4OH2X9o3xfBJ96S0Mi57gmFv5Gr/7Qhz8OIf+wjH/AOgSUAej6On/ABIdPwBzax/+givHfi5bx+FvHfhnxhp6iG5luNt0UGPMC7Rk+pKsyn2Ar2PSD/xIdPHI/wBFj6DP8Irxz4q3EPi/4heGPCVgwnkguDJd7DkR5K5Bx0IRWP4igD1nxTpyap4T1ixYDE9nMg+pU4P4HmuL+BGovf8Aw0t4n5Nlcy24JPOM7x/6Hj8K9D1CdbfTrqZ/uxxOzE9gFJryz9nZCnw/vGYY8zUpCvuBHEP50Aev0UUUAFJilooAaV49K5/xN4P0fxTaCLUbYGVOYrhDtljPqGHNdFSYoA8iurbxT4IkAuUfXNGUf8fCL++iX/a/vVt6Rrmn65ai40+4SVD1UHlfYjrmvQWUFSCBiuD8RfDa1vrltU0KdtI1bO4yQ/6uY/7a9PxxmgC03Cn8RXI/Dj/kXLn/AK/5/wD0KlHifUNCvF03xbY/ZJW+VL6LPkSn+n41j+DPE+k6N4anN3dp5j3kzJEg3O4LdgOtAHo3Q81Xu761sIDPdzxwxD+J2AH05rnrW78X+JwRoulDSrQji8v87m91Qd62tJ+FWmJMLrxBd3Gt3nU/aWxGh9kXA/PNAGF/wl9xq7NB4X0qbU5AfmnxthX8TWhD8PNZ8QIreK9bdYW5+w2J8tMejHqa9HtrWCzhWG2ijhiUYVI1CgfgKnA5oAoaXpVpo+n29hYxCK2gXZGmScDnv+JrQoxRQAUUUUAFFFFACEZqKWCOaNo5VV0YYZWGQR7jvU1FAHmuq/DeWwupdU8HXA0+5Y7pLM8wSn6dB+FZ1h4vMV2umeIbRtL1M9nB8uQ/7LdK9axxgcVl614f0vxDZm11WzjuYu24cr7g9RQBggqehyPXOc1x/i//AJGPwp/1/H/0GrN14a8TeCt0ukTNrOjg5+yTEmaFf9lv4q5zWfFGmavrHhiaKUwPFe7popxsaLjnIPagD0ocjjNB4GT09cVytx41jubk2nh/T7nWbnJ5tx+7Xr1Y8Vaj8EeKPEbLLr+sjTbRh/x56d1I9DIf6UAP1Xxfo+kSeRLcGa5PAt4F3ufwFV7WDxt4lkH2S2j0OwYcTzjfKV9l7Gu30LwZoPhxQdO06FJsfNM43yMfUsea6D6j3oA43wz8PNN8Pal/aslxc3+qlCpurmTcQD1CjoK7OiigCKeVYLeSVzhY1LH6DmvI/gEhvtJ8Q6/LzPqGpsHJ6nChv5yGvVNVhe50i9gj+/JA6L9SpFeXfs8SA/D+7j/ij1KQEdxmOM0AUvj5NFa33g24mbZFFeyO7Y6AGMk11I+NPw/GB/wkHX/p0n/nsrmfjqok1fwSjBWU3zhlboRuir04eF9A5I0PTAeufskYJ/SgDVV967h0Irx/4ayf2T8YvHOhJ/qZZDeIo4C/PnAH/bUD8K9fU4OMj6D1rx7wf+//AGkPF06cxx2ZjYj+9mEf+yn8qAPZiMik2+wH0p1FAHGeJ/h7p2u3Av7V207VE5W6gX73+8MgGuQGvav4VuPsPi+0KxZ2w6lAMxSf7w6qa9hIzVa8sba+tXt7uGOaF+GSQZBoA5KCeK5hSa3lSSJxlXRgQR65rjPhuP3Wt/8AX+4rX1PwFq/hyeTUPB1wHt+sml3B+Vh32Nzj6Vxfgq48WKdRstO8MyrczXTSPJdPsjgz6nqfwFAHqMkscUZkkdUQAksxAx+dcxceN7WeZrPQrWfV70cbbdcRqfdzwK0rL4YT6jKLjxbrEl/IeTaWw8qEex5yw/Ku807SLDSIBBp9pDbRjosa4oA85s/BPirxKnmeJNTTTLVuRY2PLEf7Tn+ldpoPg7Q/DcQTT7GISH700nzyN+J5roAMdOlLigDjvE3gDS/EMwvIXfTtUQZjvLbAYHtuX+L6GuOOta34SuPsfiu232udkWqQAlGH+0vG0nr3r2EjjH86r3VpBd2729xDHLC4wyOu4H8KAOQtrqC8t1ntZkmhYZV0OQR61h+OHCeCdWY/8+7Y96k1b4eahodxJqXg268sdZNMnOYn/wB0/wANcr4j8W29/wCDtYsNQtpNM1VICHtbg8k/7J6EUAdp4bx/wi+k9cfYof8A0AVp9/1/CuQsfFmkaP4Y0mKW4M119jh228C75G+ReMA8fjU1ra+N/FqkwW0fh/TmORLcjfcMPZRwKANjVNd0vRbczahexQr2BblvoOtYS6x4n8TME8L6MYrc9b/UMov1C9TXWaH8NdD0uRbm7EmqXw5NzeHeQfYdBXYrGqIEVQFHQY4FAHC6D8OVstWg1nWdTm1PU4fuHGyKMnrtWu8AI60uOaWgAooooAKKKKAEI444qrd2cF7bPb3UKTQSDaySLuBH0q3QaAPLtQ+H2peHGe98GXJEWcvpk7bo2Gf4Cfu1FpPi62vLo6dqELabqa8vbXHynP8Asnofwr1TGaw/EPhPR/Etr5Wp2iSMP9XMvyyRnsVYc5oAys+34Hr/APWrj9Q/5Kpo/wD14zfzqW60/wAU+BFzIX17RVOBJj/SYR6t/erDk8TaRe/EDSdQjvES3SymDmQ7TGfRs96APR6MgDJIA9Sa5RvGNxqdz9k8M6PPqkh4+0HKQj33d6vQ/DrWtcmE3irXZFg/58bA+Wn0LYyRQBDqPjXSbK5NnC73t90FvbLuYn3HaktdI8ceJXP2gx+H7Fu2A87fj2rvtG8MaN4ei8vSdOt7Yf3kX5j9WOSa2AOaAOW8K+BtM8JyzXFq89xezjbNc3Mhd3HXHsM11VFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAIRkYrC8Y6IPEXg/VtJ/jurdlT/fHK/8AjwFb1IwyCKAPKvhXdT+IvhE+kRXRtL61WbTzKV3NESMq23I6BwBz2rq/AXg6HwP4cj0eOcXLiRpZZ9mzzHbvtycYUKOtXNG8KaVoOq6pqWnxPFNqcgluR5hKFhuOQO3LMfxrfoAq39lBqNhc2Vym+C4iaKRf7ysCCPyNcj4G8Jn4deG72zutZF5ZJK90JGh8ryV2jcD8x44z2713FZ2s6Ta63pFzpl4H+zXKeXKI3KEqeoyKAPMPghaTX/8AwkPi64j2trF83lAn+AFmOPbc2P8AgJr2Cs3R9ItNE0y102wj8u0to/LjTOePc+v+JrSoAKKKKACiiigApCMilooAZsGMHmlCj0p1FABRRRQAUUUUAFIR+dLRQBFJEkkbRuisrcEEZBrh2+EnhB9afU204Zk5aAMfKJ65213tFAFa2tYLOFYbeGOGJRhUjUKB+AqwBilooAMUUUUAFFFFABRRRQAUUUUAN2jngc9eKNowAOAPSnUUANAx2p1FFABRRRQAUHkUUUANKjrXHeIvhn4a8S38V9eWey4Rss8B2l/rXZ0UAZek6FpmhWq22m2MFtCvQRqAfqTWkFA6DHOadiigBAAOgpaKKACiiigCtf2seoadc2UwzFcRNE4/2WGD+hryv4IXM1jp2ueFLs7LzSL9htP9xuM49Nysc/7Qr1w8isC28K6XaeK7jxJFEyajcQC3lZXO11GMfL64UD8KAOb8bfDa48WeIrDXLHxBJpF5ZxeUjxW3mMPmY5B3KR94isif4Q65qsZttc+Ieq31g337dIjHv785dh19Qa9awKXFAGRomh2Hh7SLbTNNhWK0t1wi9Sc8kk+pJyTXmXw6QeJvi34t8XDDWsLfYbVxyrgYXcp/3UU/8Dr125hWe2lhZmRXUqWVtpGe4PY1l+GvDWmeFNJTS9JhMVsjF8FixZj1JPc//W9KANuiiigAooooAQjjim7FB4AHrin0UAIFx9KWiigAooooAKKKKAEI4rI1zw3pfiOwez1O0jmjboSOVPqDWxRQByHhv4ceGvDCq1lYrJMBgTT/ADsByeM9OprrAmBxx9OKfRQAgGOBwKWiigAooooAKKKKACiiigBD0pAnOcD8qdRQAmKWiigAooooAKKKKAEI4qG4tobqB4Z4kkicYZXGQRU9FAHN6J4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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which two building blocks can be joined together so that the object shown is created?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"combinatorial geometry"
|
MathVision
|
376
|
A rectangle is split into 11 smaller rectangles as shown. All 11 small rectangles are similar to the initial rectangle. The smallest rectangles are aligned like the original rectangle (see diagram). The lower sides of the smallest rectangles have length 1. How big is the perimeter of the big rectangle?
<image1>
|
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"path": null
}
|
"$\\boxed{30}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A rectangle is split into 11 smaller rectangles as shown. All 11 small rectangles are similar to the initial rectangle. The smallest rectangles are aligned like the original rectangle (see diagram). The lower sides of the smallest rectangles have length 1. How big is the perimeter of the big rectangle?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
377
|
Two rectangles are inscribed into a triangle as shown in the diagram. The dimensions of the rectangles are $1 \times 5$ and $2 \times 3$ respectively. How big is the height of the triangle in $A$?
<image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two rectangles are inscribed into a triangle as shown in the diagram. The dimensions of the rectangles are $1 \\times 5$ and $2 \\times 3$ respectively. How big is the height of the triangle in $A$?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
378
|
The numbers 1 to 10 were written into the ten circles in the pattern shown in the picture. The sum of the four numbers in the left and the right column is 24 each and the sum of the three numbers in the bottom row is 25. Which number is in the circle with the question mark?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The numbers 1 to 10 were written into the ten circles in the pattern shown in the picture. The sum of the four numbers in the left and the right column is 24 each and the sum of the three numbers in the bottom row is 25. Which number is in the circle with the question mark?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
379
|
A square is placed in a co-ordinate system as shown. Each point $(x \mid y)$ of the square is deleted and replaced by the point $\left(\frac{1}{x} \mid \frac{1}{y}\right)$. Which diagram shows the resulting shape?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{C}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A square is placed in a co-ordinate system as shown. Each point $(x \\mid y)$ of the square is deleted and replaced by the point $\\left(\\frac{1}{x} \\mid \\frac{1}{y}\\right)$. Which diagram shows the resulting shape?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"analytic geometry"
|
MathVision
|
380
|
Two circles intersect a rectangle AFMG as shown in the diagram. The line segments along the long side of the rectangle that are outside the circles have length $A B=8, C D=26, E F=22, G H=12$ and $J K=24$. How long is the length $x$ of the line segment $L M$?
<image1>
|
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"path": null
}
|
"$\\boxed{16}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two circles intersect a rectangle AFMG as shown in the diagram. The line segments along the long side of the rectangle that are outside the circles have length $A B=8, C D=26, E F=22, G H=12$ and $J K=24$. How long is the length $x$ of the line segment $L M$?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
381
|
A cylindrical tin is $15 \mathrm{~cm}$ high. The circumference of the base circle is $30 \mathrm{~cm}$. An ant walks from point $A$ at the base to point $B$ at the top. Its path is partly vertically upwards and partly along horizontal circular arcs. Its path is drawn in bold on the diagram (with a solid line on the front and a dashed line at the back). How long is the total distance covered by the ant? <image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A cylindrical tin is $15 \\mathrm{~cm}$ high. The circumference of the base circle is $30 \\mathrm{~cm}$. An ant walks from point $A$ at the base to point $B$ at the top. Its path is partly vertically upwards and partly along horizontal circular arcs. Its path is drawn in bold on the diagram (with a solid line on the front and a dashed line at the back). How long is the total distance covered by the ant? <image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
382
|
Emma should colour in the three strips of the flag shown. She has four colours available. She can only use one colour for each strip and immediately adjacent strips are not to be of the same colour. How many different ways are there for her to colour in the flag? <image1>
|
{
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"path": null
}
|
"$\\boxed{36}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Emma should colour in the three strips of the flag shown. She has four colours available. She can only use one colour for each strip and immediately adjacent strips are not to be of the same colour. How many different ways are there for her to colour in the flag? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"graph theory"
|
MathVision
|
383
|
What is the value of the following sum? <image1>
|
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"path": null
}
|
"$\\boxed{12}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "What is the value of the following sum? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"arithmetic"
|
MathVision
|
384
|
A square with area 84 is split into four squares. The upper left square is coloured in black. The lower right square is again split into four squares and so on. The process is repeated infinitely many times. How big is the area coloured in black? <image1>
|
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"path": null
}
|
"$\\boxed{28}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A square with area 84 is split into four squares. The upper left square is coloured in black. The lower right square is again split into four squares and so on. The process is repeated infinitely many times. How big is the area coloured in black? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
385
|
The numbers from 1 to 9 are to be distributed to the nine squares in the diagram according to the following rules: There is to be one number in each square. The sum of three adjacent numbers is always a multiple of 3 . The numbers 7 and 9 are already written in. How many ways are there to insert the remaining numbers? <image1>
|
{
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"path": null
}
|
"$\\boxed{24}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The numbers from 1 to 9 are to be distributed to the nine squares in the diagram according to the following rules: There is to be one number in each square. The sum of three adjacent numbers is always a multiple of 3 . The numbers 7 and 9 are already written in. How many ways are there to insert the remaining numbers? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"combinatorics"
|
MathVision
|
386
|
Two equilateral triangles of different sizes are placed on top of each other so that a hexagon is formed on the inside whose opposite sides are parallel. Four of the side lengths of the hexagon are stated in the diagram. How big is the perimeter of the hexagon? <image1>
|
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"path": null
}
|
"$\\boxed{70}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two equilateral triangles of different sizes are placed on top of each other so that a hexagon is formed on the inside whose opposite sides are parallel. Four of the side lengths of the hexagon are stated in the diagram. How big is the perimeter of the hexagon? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
387
|
In a three-sided pyramid all side lengths are integers. Four of the side lengths can be seen in the diagram. What is the sum of the two remaining side lengths? <image1>
|
{
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"path": null
}
|
"$\\boxed{11}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In a three-sided pyramid all side lengths are integers. Four of the side lengths can be seen in the diagram. What is the sum of the two remaining side lengths? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
388
|
Leon has drawn a closed path on the surface of a cuboid. Which net can represent his path?
<image1>
A. A
B. B
C. C
D. D
E. E
|
{
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Leon has drawn a closed path on the surface of a cuboid. Which net can represent his path?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"descriptive geometry"
|
MathVision
|
389
|
A pentagon is cut into smaller parts as shown in the diagram. The numbers in the triangles state the area of the according triangle. How big is the area $P$ of the grey quadrilateral? <image1>
|
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"path": null
}
|
"$\\boxed{16}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A pentagon is cut into smaller parts as shown in the diagram. The numbers in the triangles state the area of the according triangle. How big is the area $P$ of the grey quadrilateral? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
390
|
The diagram shows a spiral of consecutive numbers starting with 1. In which order will the numbers 625, 626 and 627 appear in the spiral? <image1>
A. A
B. B
C. C
D. D
E. E
|
{
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",
"path": null
}
|
"$\\boxed{B}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The diagram shows a spiral of consecutive numbers starting with 1. In which order will the numbers 625, 626 and 627 appear in the spiral? <image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
391
|
A game marker in the shape of a regular tetrahedron has one marked area. That side is placed on the triangle marked START. The marker is then moved within the diagram always to the next adjacent triangle by rolling it around an edge. On which triangle is the marker when it is on the marked side again for the first time? <image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{E}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A game marker in the shape of a regular tetrahedron has one marked area. That side is placed on the triangle marked START. The marker is then moved within the diagram always to the next adjacent triangle by rolling it around an edge. On which triangle is the marker when it is on the marked side again for the first time? <image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
392
|
A part of a polynomial of degree five is illegible due to an ink stain. It is known that all zeros of the polynomial are integers. What is the highest power of $x-1$ that divides this polynomial? <image1>
A. A
B. B
C. C
D. D
E. E
|
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"path": null
}
|
"$\\boxed{D}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A part of a polynomial of degree five is illegible due to an ink stain. It is known that all zeros of the polynomial are integers. What is the highest power of $x-1$ that divides this polynomial? <image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
393
|
The big square shown is split into four small squares. The circle touches the right side of the square in its midpoint. How big is the side length of the big square? (Hint: The diagram is not drawn to scale.) <image1>
A. A
B. B
C. C
D. D
E. E
|
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",
"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The big square shown is split into four small squares. The circle touches the right side of the square in its midpoint. How big is the side length of the big square? (Hint: The diagram is not drawn to scale.) <image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
394
|
The numbers from 1 to 11 are written in the empty hexagons. The sums of the three numbers in three hexagons with a common bold point are always equal. Three of the eleven numbers are already written in (see diagram). Which number is written in the hexagon with the question mark? <image1>
|
{
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"path": null
}
|
"$\\boxed{9}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The numbers from 1 to 11 are written in the empty hexagons. The sums of the three numbers in three hexagons with a common bold point are always equal. Three of the eleven numbers are already written in (see diagram). Which number is written in the hexagon with the question mark? <image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"logic"
|
MathVision
|
395
|
Two identical cylindrical glasses contain the same amount of water. The left glass is upright, while the right one rests against the other one at a slant. The water level in both glasses is at the same height. The water level in the leaning glass touches its bottom in exactly one point (see diagram). The bases of both glasses have an area of $3 \pi \mathrm{cm}^{2}$. How much water is in each glass? <image1>
A. A
B. B
C. C
D. D
E. E
|
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Og+MLfZqVmBcAHy7qIBZUPHfuOOhzXgHir4VeJ/At5/aukyPdWcDbkubfiSLkY3KOep7Z/CvqqmMgbIIByMcjIoA+XvCXxdn0cag+p2i3Wr3WBHqFw+NrE4/eADIUDnC+nTmvUdK1S00vTlOgzp4g8UauAxnzhWYjlpMcxxLkkDv0zk8T+NPg5oPicSXNqg07UDk+bEuUfocMv4HkYPPevD7vR/Gfwp1lrlFkgVgU+0RAvFKm7ox7Z/PnigD3Qxy+H82Gmv8A2n4n1Ej7TetjbHz95vRVGSF9vxDEiudKLeH/AA/J9p1y5+a/1KU7hbL3OP73Xag+px2898JfFCF9OXS4lFjr2pTBLjVruQPGMnl8YHzei9MnkivQUmNqv/CLeDZEmv5SHvtUY+YtsD1kJ/ikIzgepHagBzeZp5bwn4QKtqD8X+qS/MLQNwXOMbpc5wM4B64HFSbP7PUeE/B523ZP+m6lKu8W4P3nY9HlOSQh4BOTjoTb/ZoHhLwhlrwn/TtQl/efZ1J5dieHkOThOgPJx0LPs0m1fC3hdpUiAzf6ozb355b5j95jn8M9OxAHfZWBXwn4YLJEBuv9Sc72OfvfMfvOc/hmmx2w1RT4Z8Nu9vokB232oq2XlP8AEiHueu5uxPHNIkD6qv8AwjHhp2tdFhYre6kjZeQ90j9W9W+nFP2nXh/wjfhtvsHh20Hl3eoW7YZ8HHlQnjnAwznOM8ZPNADWQeIl/wCEa8OH7J4dtSYL+9i4MmAMxRHPfoz475GTzTpduvR/8I/oRFj4ash5N3eRnYHC/wDLOI856YLH685zSS7Nbj/4R7QSun+G7JfKu7yE7QwXjy4m/DBc9PfrQ0C+IWGnWiHTvCdgNrv937SF4wuf4OMZPUZoASSJPEGdPt1/s7wnYLtZz8v2gLxgf7PHB7jNLGi+KiZpF+w+ELD5oVOFN6V6yN6R8HH97kninIieLgZmH2LwbY4EKn5ftuzjcc/diGMD+916U1nPjL/SJwbLwfZNmIE7G1DbxuPTEQwQB/EOScUANLN4yc3V0v2LwbZtmFMlG1Ar/Gem2LqAP4hznHRzH/hJn/tC/H2DwtaMBbQN8rXhHRiDjanZR1IA6dkeRfE3/EwvlNj4UsyPs8B+Rrwr0YrxhOm0dwB06UO66sP+Ei8Rf6DodmR9isWyC+OjsB1JOMKOn14AA1ymqL/wkXiI/YdEtPms7JgQzY6Ow6lumFGccdDwskYa6Y+LPFwFjp1sM6dppG7yR/fkA+9KeygcDjnJw6ORr4t4s8W7bTT7fnT9MkOfKBwBJIP4pWyML0UEdzkNLTagP+Ep8Ux/Z7GH5tM0hhlvaST+9I3ZMEIPU80AIRJeS/8ACV+KFMNlDzpmk7uVHZ3GcNK2R8vRB3JyaZLN5S/8Jd4pDb03f2ZpgwSo/vEfxSHP/ARx1JpzmQbfFPiRH8wkjStKX7w9Cw7uRz6KOMdc8F8UNXutM0wTapLnX9VUiO2U/JZW3Qgc8O3972PpQBwGu61rfxP8bW8DLmWSQw20CEkRqSSf05PsK+qfC+g23hrQLXSLUDZbptLYHzsepPv/AExXk3wF8ErbWMniu/T95ODFZq2MCMfec/UjHtg+te6AYH+NAC0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB8o/Hgf8XRuD/07Q9/avZLWP+zbOHwj4OUi7Khr7UJhvNuD1ds/fkPOF6ZOegwfHPjyM/FGcdf9Gh4H0r2K0td9hD4c8JSEQt/yENSdt7g7eRk/eY+vQeh6EAEiBB8LeF3fYuf7R1Qnc+Ty3P8AE559hkcHoVSD+1VHhjwzI9rosDFb/UojlpT/ABJGe7HkFu2e9EVuNVz4a8Mu9to8DEX+pRtl5COsaHuTjBbtnIycGnkjXC3hrwyW0/QLT93e6lbnBIHBihP97jBftzjJ5oAbk6//AMU54aP9n+HrQ+Xe6jAcFipAMUJ454wZDnvjOM0OIdZi/wCEf8P7NP8ADNkDHeXcQ2hgOsceevTBYg/j1pZEj1aAaDoATTvDNmCl3exfLuAGGjj9+xY9OvPBpHgh16FLOw8ux8IWa5eSM7ftG3rz2UYwTyTnPagBmyHxEgsrIDT/AAhYjbJLnaLjbxgZ/h4xz1xUqKni5RLJ/oHg+yH7qNvkN9t43H+7EMYXn5sEkYpsUUfi9FZoxp/g6zHyIRsN9jjLZ+7Fxx3brx0oaceM1aaQiy8GW+AAx2tqOOBn+7Fxx3bg9OKABnj8Zq11c7tP8HWRBjU/IdQxxuPdYsYAHVuOnSiWWPxGh1HUm+weErIj7PD91rwjoSB0TptA5IxRcNH4gH9oamVsPCNlgwRN8n2sDo2O0fTA6nHpxSzFNRLeIPEWLDQLMf6FZHgsOzso6seyDp7noAIzLqwHiDxB/oGg2vFjYHgtjoWA6scDCjpj16eK/GS91PVPFNne6lZLZLNZKbS3JPmJBvcKZOMbicnA6AgHmvakD6go8V+KQLLTLbDabphOdi9nkA4aQ9lHABAznp4p8ZNQ1TVPFNpe6lYJYpNZK1pATmQQ73AMnbcTubA6AjPNAH074W/5FHRf+vCD/wBFrWvWR4V/5FHRP+vCD/0Wta9ABRRRQAUUUUAFFFFACEZqteWdvfW0ltdwxzQyDaySruU/hVqigDw3xt8Bra782+8LzC3nyWNnN/q29lbqD165+oxXmOm+JvF/w1lvNL8hrXzwyyxzxA/N0LK3QkZ4PIGeQa+vyM1i+IPDGkeJrBrPV7KO5ibONwO5T6qw5FAHlPhfxhp/iLTrTw34dkfT7m5Xff3N3IGlYn721iPnZumcd84OMHqI4DqiHwt4ZkkttGgJW/1ONvmc55SI9yeQW7e9eY+MfghqugyHUPDM8l7boS4iztnixg8EcN654xgda5/SPiZrmlaXF4YvpZLbTA6xTywReXdxx5G4IScBsDGSCfpQB7dIRrzP4Y8NH+z/AA/ajZe6lAew4MUR9eCC56ds4pXEOsINB0Dbp/hmyXbeXsfy7gOscZPGeMFjyOvPBqhYalp3iqyh0TwrLHYeHreINdzxEI4THKKDkhuxY9Ox54ui3h8QRJY2Gyy8IWYy8ikr9p29Rk8hRjlu9ACJFD4iRbCwxYeEbBQryDCi4C9cE/w8YJ71KiJ4vUPIPsPg2yUCND8n25V4y3pFxwM/MMHpTY7ePxoiqE+w+DbfGxPuG/wepI+7F6c5bPakedfGWbiXFn4NtumfkOoADjI42xe38QwTgcUAJLMPGY+0XCmy8G2fMY+42oYGM4/hh44H8XBOBxSzyxeJE/tDUj9g8IWQHkxYKm729GwORH0wBycfgFumj8Qj7fqbDT/CVpgwxk7DeAdDgciPoQo5OBSS+XqefEHiH/QNAsxmys2OCw7SMB3OBhR0BxnOQABGePV1/wCEh8Rj7DoNpg2VieC2OjOB1Y8bVH6no9FbVAfGHitRaaZbfvNP01udq9pJB/FK3AC9AMDknII0XU1/4S3xQgstItB5mn6a4+4uMCWUd5GH3VHCggcnOELy6my+JvFSC0sInzpelO24k9pJcdXPOFHAGOpoARpZb7HinxYv2Wwgb/iWaVnOT2eUfxSNzheQo9TzTJJWXy/FPiZX3E7dM0uMAuT/AAkjoXPB7AD8SXy/61fEfipShL7NN0tfmP8As59WOPYD3ySUdv7KI8T+KgJdVuT5NjpseG8rPSNB/E3dj29scgEd7fQeG7OTxn4wlVtQORZ2MbfLEOyJnqx6lu3H4+JWEWpfFz4lq90NqzNvl8tcrBAnYDPuPqWJrR+LOp3NzqUUGryiTWpAJZoEbMdhGT8kC4OC2MszHrkDivWfgz4LHhvwqL+8gC6jqGJGLKMxx/wKD+JP4j0oA9GsbKDT7KGztYwkEKBEUegGOtW6QCloAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA+Ufjyf+LoXHOD9lh/PFew20I1a0Tw34XdrPSIhjUdRi5ZvWONu5PILdhXj/AMef+So3AxkfZYc/lXsib9Wjj8K+F9un6RbKqahf255UY5ih9XPd/wCEcgZxQASE60P+EX8LO2naHZny7/UoTjheDFCf7xxgufu9geKVoV1W3GgaCRYeG7Ubbu9iO0sq9Y4z13cYLHp1HUYCkWrAeH/DrjT/AA7ZDZeXsJxnA5RGP8RxyxyO/JIIRYIfEEaafp+2w8H2aEyyxnaLnHUAnovUEnrg0AAt4dfiWy08rYeD7JP3kqMVFzt6jJ5CjHJPXBpY4E8ZR8f6H4NsuFVfk+3beSSeCkQxgY6884ohij8ZIBEBa+DLLgIPlN9t5yfSIY/4Fyc0SSjxmC7ubLwZaDHycG/K9Mf3YRjj+99KAEeYeMx50h+w+DLXopwn9oY6f7sQxwP4upwOKdcPH4hH2/UiNP8AB9oA0MWdpuwOhIHIj6EAcnA7HFRzSQ+IlN/fstj4PsziOMnyxd7Rw3HIT0A645p8u3VQ2v8AiJRYeHbIA2Vk/wAu7HSR1Hc8bVHK8d+gAsu3U3/t7xFtsPD9ng2NmT/rOflkYDueNqjkZxyeiIBqgPi3xVttNItMPp+mtyI16CSUfxSNwVUDABA5J4WL/ia58VeKFWz0W1+bTtPl4CrjiWUd2bghcYUY70ySV9Sk/wCEo8Tg22mwtu0vS5Byx7SSjqXbqF6KCAQTQArGTUpP+Em8U5tdNhf/AIlmlucbvSSX1ZuoXooIHJ5rxb4yz6tdeKrW51aBbZ5rQNBCM7o4/McAMem44J9s456n2h23yp4l8UIVy2zTdMAyT/dyATljwewHv1rxX4y/2w/iqzudbKpc3FisqWyDItk3uAm7PzHgsTgfexQB9O+Ff+RQ0X/rwg/9FrWvWP4V/wCRQ0X/AK8IOhz/AMs1rYoAKKKKACiiigAooooAKKKKACiiigBu0Z71xfjD4aeHvGEcj3Nr5F6wO27g+VwfcdG5A6j8a7akIzQB8j+Kvhx4p8CvPcRGS408gqbq1JAK8/fXqO/HTiug0H4m2evpZaN4umFlpEIXzVtIiFujnAEhzlVAAztGTg9BxX0pLEkkbJIgdGGGUgEEe+a8p8cfBHSNeWW80QppmoMSxVVzDITycjqv4ce1AF4XMXjhWmEy2ngm0JX5GCG/K9sDG2MYPHVumMVLdGLX0N9qDCx8I2Y3RR/dF2AOD/sp7dTXgN9aeLPh/ciy1GKQWXmA+TIS9tNg5xwRlT1IGMivSND+JmheLtTWbxLKumWliim208ZaORsctu7tnouBgdCTQB28wTUmfXvEW2x8P2ODZWbcbwOVkdfU8bVHQHB+bOCMDVs+K/FA+xaNafPp2nydAg6TSjuzdQvRRjOT0bGf7Y/4qvxLiy0K0BfTtPcfwY4mk/2jj5V4256miSZtTK+JfEoNrpcB3abpjnDOeqyyD+8cjCjgA4IJoAG8zUpR4l8UL9l06J86ZpcnBJ7STdy5OSFHCg9zRIczL4j8UoyEvs0vShyc9iQCdzHAPYDHfqWuQzjxL4nBQElNM0sLub/Z4BJZjgHHG39TKM6WP+Eo8WkyahMNljpifN5PpGgH3pDgZbAHOMDHIA1pBpX/ABVHir97qc37qx02Mb/J9I0H8TnA3N0zxxjmnqF0fC2mXPjXxZMra1LGy2Nj1S0B+7Gg6M+QCzcegx3uxedo0beJ/Fcnnarc/u7PTo/mW2U8iOMfxOcDc+BxwMAc+B+P9d1fxX4xaC5k82dW8qO0iYmOBzxsX1I4DMf4gewFAGt8NPDt34/+IEur6gHktbaX7VdOQSGcnKoCffp7LX1TGqooVFUKBgBRgAVyfw78Iw+DvCNtp4VTdP8AvbmQLjdIw/oMD8K68CgBaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoppOBk4A9TVB9a0uN2STUrNHU4IadAQfcZoA0aKz/AO3dH/6Ctj/4EJ/jSHXtI/6Ctjj/AK+E/wAaAPmL48n/AIufcD/p2h/l617HDFHrNlD4f8PFbDw/ZrtvbpPl3ADlEPv3Y9Oo7EeLfHC5gu/iXcTW80U0f2eEb0YMudvqK9etLzR/ElrBpOn31tp/hi1AWceaqNdsP4Rk5C8cnrQBbihh8SQjT9OxZeEbIfvpB8n2oDk89k4OT3FLbxJ41+SFPsfgy04C8L9vI65/uxjH/As5z1qst9pvjKYWUd5bWXhOzfDRiZUa/ZTgqADkRAjnu2cUs2rab4yma2F/a2nhO0ysiJOqSXxX+EAcrEPzbp0JoAtTSr4yUu0n2LwVa9Svym/I7DHSIY7ct06E026lt/EcR1G8dbDwhZr+7iYbftW0cZHQJ6AdRj14rPqmkeKCt1c6pZ2nhWyBKQLIqNOF9VByqcHAHJAHrRFqel69s1zVr+2s/D1moltNPLruYAZEjqp4J42qOgHTJoAtEpq6nxD4gI0/w9ZDfZ2UpILY5DuOuTjhR0AHGSaI1OrEeKfFAFjolmu/TtOlXhVwMSygdXbsg4UEDk5qtBqWn+I5R4j8QXtta6Lbp5unaY0qtlMAiaYAnJI5C4woxnJpp1vTdaJ8TeIb6G30q3xJYaYJlZ2HXzJVBPzccIOBjndmgC1NL/aRHijxQGtdJhIbTtMblnPUSSDnL9MIOBjnJ5onkXzP+Eo8Tq+wtt0zS1G5jn7vy/xOeD2A6c4yas+raY7v4o8RX1s8EJH2DTIJVZlz93cM8ueOnAzjscuOq6dYJP4u8UX9rcXvK2WnwzK/2de0YHdzj5j0BJHbkAtEnT2/4SnxWRJqc42afpcR3CEHpEmPvOcAs3TJx0HPifxhTWf+Eps7jXZYvtlzZCZbaJfltULuFi3Zy54JJPckDjFewx6nY2Am8Y+Jr61udTb5bKwilV1s05KouDyxyNz9OnHFeNfFy4v7rxRb3eoXtrPNcWokEVuQy2y722xlgTubAyTx97AGKAPqHwt/yKGi9/8AQIP/AEWta9cx4Y1rSk8KaOjalZqy2MKlTcICCEHHWtf+3dH/AOgrY/8AgQn+NAGhRWf/AG7o/wD0FbH/AMCE/wAaP7d0f/oK2P8A4EJ/jQBoUVn/ANu6P/0FbH/wIT/Gj+3dH/6Ctj/4EJ/jQBoUVn/27o//AEFbH/wIT/Gj+3dH/wCgrY/+BCf40AaFFZ/9u6P/ANBWx/8AAhP8aP7d0f8A6Ctj/wCBCf40AaFFZ/8Abuj/APQVsf8AwIT/ABo/t3R/+grY/wDgQn+NAGhRWf8A27o//QVsf/AhP8aP7d0f/oK2P/gQn+NAGhRWf/buj/8AQVsf/AhP8aP7d0f/AKCtj/4EJ/jQAupaXY6vaSWmoWkdzA4wUkXI/DuK8M8a/AV42l1DwnMSMl/sEpwR/so358H869y/tzRz/wAxWx/8CE/xpP7c0f8A6Ctj/wCBCf40AfKWm+Mte8L6taWPiO2ub6ysJGI0+7fYFfPByQc4PIByP516vonjPRPFMlx4k1W6WSS2cR2ejRjc6knAO3+Jmxnjp+p7PxRpHg3xdaGDVZ7CRtp2TrcKsie4I/rXgHi/4dXXhC5/tPQtbtr60iJkSWKdVmi54yAefqOvpQB7WW/stX8WeLTu1CX5bDTIjv8AI/uxJ/ekOPmPTJ/GhFfSx/wlXi4iTV5jtsNNi+ZbTOdsadQ0h/ifHrjgCvHvB3xWNlry6j4sjm1WWKIR2sxZQbcDOdqgAEnI5ODx1r0qz8TaSttF4u1bU7a91K73JY2sT5js1wQBg/Nn+8x6k4AA6AFXxrq1z4U0aXxBrU0MniS93RafZhy0dlGeCV/vNj7zccnjgVyvwM8HyaxrU3ibUo2eC1YrAZRnzZiMls9yAR9c+1cNreqar498bhLu+jZ55zDE3mYhjXOMg8cYHJwM19S+HT4e8PaBZ6Ta6jp6xW8YXKzoN7dS3Xu2TQB0q+1OrOGu6OB/yFbH/wACE/xpf7d0f/oK2P8A4EJ/jQBoUVn/ANu6P/0FbH/wIT/Gj+3dH/6Ctj/4EJ/jQBoUVn/27o//AEFbH/wIT/Gj+3dH/wCgrY/+BCf40AaFFZ/9u6P/ANBWx/8AAhP8aP7d0f8A6Ctj/wCBCf40AaFFZx17SAcf2rY/+BCf41aguYbmLzYJUkjPR0bIoAnooFFABRRRQAUUUUAFFFFAHmnxt1vUtA8BebpkjRSXN0tvLKgO5IyjkkEfdJKqM+9fKM0jyyNJJIZHYklieSfWvujV9Jsdc02bTdQgWe1mGHRuhwQc/UECvMW/Z28Iuxb7drSgnO1Z4sD2GYyf1oA+X80ua+nv+GcvCH/QS1z/AL/w/wDxqj/hnLwf/wBBLXP+/wDD/wDGqAPmHJzRmvp7/hnLwf8A9BLXP+/8P/xqj/hnLwf/ANBLXP8Av/D/APGqAPmLcfyo3Gvp3/hnLwf/ANBLXP8Av/D/APGqP+GcvB//AEEtc/7/AMP/AMaoA+Ydxo3Gvp7/AIZy8H/9BLXP+/8AD/8AGqP+GcvB/wD0Etc/7/w//GqAPmLeaTcea+nv+GcvB/8A0Etc/wC/8P8A8ao/4Zy8H/8AQS1z/v8Aw/8AxqgD5hyaNxr6e/4Zy8H/APQS1z/v/D/8ao/4Zy8H/wDQS1z/AL/w/wDxqgD5i3EjHbrSFsnJr6e/4Zy8H/8AQS1z/v8Aw/8Axqj/AIZy8H/9BLXP+/8AD/8AGqAPmHNJmvp//hnLwf8A9BLXP+/8P/xqj/hnLwf/ANBLXP8Av/D/APGqAPmDNGa+n/8AhnLwf/0Etc/7/wAP/wAao/4Zy8H/APQS1z/v/D/8aoA+YM0Zr6f/AOGcvB//AEEtc/7/AMP/AMao/wCGcvB//QS1z/v/AA//ABqgD5gzRmvp/wD4Zy8H/wDQS1z/AL/w/wDxqj/hnLwf/wBBLXP+/wDD/wDGqAPmDNGa+n/+GcvB/wD0Etc/7/w//GqP+GcvB/8A0Etc/wC/8P8A8aoA+YM0Zr6f/wCGcvB//QS1z/v/AA//ABqj/hnLwf8A9BLXP+/8P/xqgD5gzRmvp/8A4Zy8H/8AQS1z/v8Aw/8Axqj/AIZy8H/9BLXP+/8AD/8AGqAPmDNGa+n/APhnLwf/ANBLXP8Av/D/APGqP+GcvB//AEEtc/7/AMP/AMaoA+YM0Zr6f/4Zy8H/APQS1z/v/D/8ao/4Zy8H/wDQS1z/AL/w/wDxqgD5hz9KNxr6e/4Zy8H/APQS1z/v/D/8ao/4Zy8H/wDQS1z/AL/w/wDxqgD5h3EdKXJr6d/4Zy8H/wDQS1z/AL/w/wDxqj/hnLwf/wBBLXP+/wDD/wDGqAPmHcaM19Pf8M5eD/8AoJa5/wB/4f8A41R/wzl4P/6CWuf9/wCH/wCNUAfMGaM19P8A/DOXg/8A6CWuf9/4f/jVH/DOXg//AKCWuf8Af+H/AONUAfMGaM19P/8ADOXg/wD6CWuf9/4f/jVH/DOXg/8A6CWuf9/4f/jVAHzBmjNfT/8Awzl4P/6CWuf9/wCH/wCNUf8ADOXg/wD6CWuf9/4f/jVAHzBmjNfT/wDwzl4P/wCglrn/AH/h/wDjVH/DOXg//oJa5/3/AIf/AI1QB8wivWvgZ4i1a28bWujRzPJpt0knmxvllj2ozBl5+UkgD8a9F/4Zy8If9BLXP+/8P/xquu8HfDnQPBCyHS45nuJAVa5uGVpCvXHygDH4UAdgowBS0DpRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFF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"path": null
}
|
"$\\boxed{A}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two identical cylindrical glasses contain the same amount of water. The left glass is upright, while the right one rests against the other one at a slant. The water level in both glasses is at the same height. The water level in the leaning glass touches its bottom in exactly one point (see diagram). The bases of both glasses have an area of $3 \\pi \\mathrm{cm}^{2}$. How much water is in each glass? <image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - area"
|
MathVision
|
396
|
There are 10 boxes in the first van. Every further van contains twice as many boxes as the previous one. How many boxes are there in the fifth van?
<image1>
|
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"path": null
}
|
"$\\boxed{160}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "There are 10 boxes in the first van. Every further van contains twice as many boxes as the previous one. How many boxes are there in the fifth van?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"algebra"
|
MathVision
|
397
|
In the picture the distance $KM=10, LN=15, KN=22$. Find the distance $LM$.
<image1>
|
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"path": null
}
|
"$\\boxed{3}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the picture the distance $KM=10, LN=15, KN=22$. Find the distance $LM$.\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"metric geometry - length"
|
MathVision
|
398
|
Chris constructed the brick on the picture using red and blue cubes of the same size. The outside of the brick is completely red, but all cubes used inside are blue. How many blue cubes did Chris use?
<image1>
|
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"path": null
}
|
"$\\boxed{12}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Chris constructed the brick on the picture using red and blue cubes of the same size. The outside of the brick is completely red, but all cubes used inside are blue. How many blue cubes did Chris use?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
399
|
This table shows the quantity of different types of flowers in the botanical garden. Ted was told by the gardener that there were 35 azaleas, 50 irises and 85 roses in the garden. What is the number of gerberas growing in the garden?
<image1>
|
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"path": null
}
|
"$\\boxed{110}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "This table shows the quantity of different types of flowers in the botanical garden. Ted was told by the gardener that there were 35 azaleas, 50 irises and 85 roses in the garden. What is the number of gerberas growing in the garden?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"arithmetic"
|
MathVision
|
400
|
The construction in the picture is built of cubes of the same size and weighs 189 grams. How many grams does one cube weigh?
<image1>
|
{
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",
"path": null
}
|
"$\\boxed{21}$"
|
[{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The construction in the picture is built of cubes of the same size and weighs 189 grams. How many grams does one cube weigh?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}]
|
"solid geometry"
|
MathVision
|
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