{"status": "success", "data": {"description_md": "Points $A_1, A_2, A_3, A_4,$ and $A_5$ lie on a plane, given that the length of $A_1A_2 = 1, A_2A_3 = 2, A_3A_4 = 3, A_4A_5 = 4.$ Find the sum of all possible positive integers values of $A_1A_5$.", "description_html": "<p>Points <span class=\"katex--inline\">A_1, A_2, A_3, A_4,</span> and <span class=\"katex--inline\">A_5</span> lie on a plane, given that the length of <span class=\"katex--inline\">A_1A_2 = 1, A_2A_3 = 2, A_3A_4 = 3, A_4A_5 = 4.</span> Find the sum of all possible positive integers values of <span class=\"katex--inline\">A_1A_5</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #67", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}