{"problem":{"name":"Polygon","description":{"content":"Determine if an $N$\\-sided polygon (not necessarily convex) with sides of length $L_1, L_2, ..., L_N$ can be drawn in a two-dimensional plane. You can use the following theorem: **Theorem**: an $N$\\-s","description_type":"Markdown"},"platform":"AtCoder","limit":{"time_limit":2000,"memory_limit":262144},"difficulty":"None","is_remote":true,"is_sync":true,"sync_url":null,"sign":"abc117_b"},"statements":[{"statement_type":"Markdown","content":"Determine if an $N$\\-sided polygon (not necessarily convex) with sides of length $L_1, L_2, ..., L_N$ can be drawn in a two-dimensional plane.\nYou can use the following theorem:\n**Theorem**: an $N$\\-sided polygon satisfying the condition can be drawn if and only if the longest side is strictly shorter than the sum of the lengths of the other $N-1$ sides.\n\n## Constraints\n\n*   All values in input are integers.\n*   $3 \\leq N \\leq 10$\n*   $1 \\leq L_i \\leq 100$\n\n## Input\n\nInput is given from Standard Input in the following format:\n\n$N$\n$L_1$ $L_2$ $...$ $L_N$\n\n[samples]","is_translate":false,"language":"English"}],"meta":{"iden":"abc117_b","tags":[],"sample_group":[["4\n3 8 5 1","Yes\n\nSince $8 < 9 = 3 + 5 + 1$, it follows from the theorem that such a polygon can be drawn on a plane."],["4\n3 8 4 1","No\n\nSince $8 \\geq 8 = 3 + 4 + 1$, it follows from the theorem that such a polygon cannot be drawn on a plane."],["10\n1 8 10 5 8 12 34 100 11 3","No"]],"created_at":"2026-03-03 11:01:14"}}