{"status": "success", "data": {"description_md": "**POTD Normal December 18, 2023**\n**Author:** qgek\n\nIf the closed form of complex number ${z_n}$ is: $z_n = (1 + i)(1 + \\frac{i}{\\sqrt2})...(1 +\\frac{i}{\\sqrt n})$, Find the value of $|z_1 - z_2| + |z_2 - z_3| + ... + |z_{2022}-z_{2023}|$", "description_html": "<p><strong>POTD Normal December 18, 2023</strong><br/>&#10;<strong>Author:</strong> qgek</p>&#10;<p>If the closed form of complex number <span class=\"katex--inline\">{z_n}</span> is: <span class=\"katex--inline\">z_n = (1 + i)(1 + \\frac{i}{\\sqrt2})...(1 +\\frac{i}{\\sqrt n})</span>, Find the value of <span class=\"katex--inline\">|z_1 - z_2| + |z_2 - z_3| + ... + |z_{2022}-z_{2023}|</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #29 (Normal)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}