{"status": "success", "data": {"description_md": "A large equilateral triangle is constructed by using toothpicks to create rows of small equilateral triangles. For example, in the figure we have $3$ rows of small congruent equilateral triangles, with $5$ small triangles in the base row. How many toothpicks would be needed to construct a large equilateral triangle if the base row of the triangle consists of $2003$ small equilateral triangles? \n\n<center>\n<img class=\"problem-image\" height=\"195\" src=\"https://latex.artofproblemsolving.com/1/6/c/16ca1f0305d713b2b9e5a0c53658d11829856ec7.png\" width=\"225\"/>\n</center>\n\n$\\mathrm{(A) \\ } 1,004,004 \\qquad \\mathrm{(B) \\ } 1,005,006 \\qquad \\mathrm{(C) \\ } 1,507,509 \\qquad \\mathrm{(D) \\ } 3,015,018 \\qquad \\mathrm{(E) \\ } 6,021,018$", "description_html": "<p>A large equilateral triangle is constructed by using toothpicks to create rows of small equilateral triangles. For example, in the figure we have  <span class=\"katex--inline\">3</span>  rows of small congruent equilateral triangles, with  <span class=\"katex--inline\">5</span>  small triangles in the base row. How many toothpicks would be needed to construct a large equilateral triangle if the base row of the triangle consists of  <span class=\"katex--inline\">2003</span>  small equilateral triangles?</p>\n<center>\n<img class=\"problem-image\" height=\"195\" src=\"https://latex.artofproblemsolving.com/1/6/c/16ca1f0305d713b2b9e5a0c53658d11829856ec7.png\" width=\"225\"/>\n</center>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 1,004,004 \\qquad \\mathrm{(B) \\ } 1,005,006 \\qquad \\mathrm{(C) \\ } 1,507,509 \\qquad \\mathrm{(D) \\ } 3,015,018 \\qquad \\mathrm{(E) \\ } 6,021,018</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2003 AMC 10A Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10A_p24", "prev": "/problem/03_amc10A_p22"}}