{ "info": { "id": "ses_08e3973c3ffe41nlW2A3yNEtIs", "slug": "happy-rocket", "projectID": "global", "directory": "/private/var/folders/t7/b_w5m78j2mbb1ct051p9sv500000gn/T/nudge-opencode-generation-0iiMIS", "path": "private/var/folders/t7/b_w5m78j2mbb1ct051p9sv500000gn/T/nudge-opencode-generation-0iiMIS", "title": "Nudge content generation", "agent": "nudge-generation", "model": { "id": "gpt-5.6-sol", "providerID": "openai", "variant": "max" }, "version": "1.18.3", "summary": { "additions": 0, "deletions": 0, "files": 0 }, "cost": 0, "tokens": { "input": 4576, "output": 754, "reasoning": 318, "cache": { "read": 0, "write": 0 } }, "time": { "created": 1784320265276, "updated": 1784320286317 } }, "messages": [ { "info": { "role": "user", "time": { "created": 1784320265293 }, "agent": "nudge-generation", "model": { "providerID": "openai", "modelID": "gpt-5.6-sol", "variant": "max" }, "system": "Follow the user prompt and output schema exactly.", "format": { "type": "json_schema", "schema": { "type": "object", "properties": { "status": { "type": "string", "enum": [ "success", "unsolvable" ], "description": "Set to 'success' when the supplied statement defines a solvable programming problem. Set to 'unsolvable' only if the statement is fundamentally incomplete, contradictory, or depends on an inaccessible required resource." }, "reason": { "anyOf": [ { "type": "string" }, { "type": "null" } ], "description": "If status is 'unsolvable', provide a detailed failure message to show users. Name the concrete statement/resource blocker and any relevant source lookup/access status, such as missing official tutorial, 403/Cloudflare challenge, 404, or unavailable accepted submissions. Otherwise null." }, "hints": { "anyOf": [ { "type": "array", "description": "Exactly 5 progressive hints, each building on the last.", "items": { "type": "object", "properties": { "order": { "type": "number", "description": "Hint number, 1 through 5." }, "content": { "type": "string", "description": "Markdown hint text." } }, "required": [ "order", "content" ], "additionalProperties": false } }, { "type": "null" } ], "description": "If status is 'success', provide exactly 5 progressive hints. Otherwise null." }, "editorial": { "anyOf": [ { "type": "string" }, { "type": "null" } ], "description": "If status is 'success', a prose editorial explaining the solution in Nudge's own voice, with no links, citations, or source/research notes. Otherwise null." }, "solution": { "anyOf": [ { "type": "string" }, { "type": "null" } ], "description": "If status is 'success', a complete C++ solution. Otherwise null." } }, "required": [ "status", "reason", "hints", "editorial", "solution" ], "additionalProperties": false, "title": "problem_response", "description": "Submit the generated content for the problem, or report if it is unsolvable." }, "retryCount": 2 }, "id": "msg_f71c68c4d001QVej9Zo7bPEjmM", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs" }, "parts": [ { "type": "text", "text": "Generate Codeforces learning content: five progressive hints, an original editorial, and AC-quality C++.\n\nSolve from the supplied statement first. For very hard problems, do a quick source check for the official Codeforces tutorial/editorial and accepted submissions when they would help you derive or verify the solution. If a source is blocked, missing, Cloudflare-challenged, 404, or otherwise unavailable, keep solving from the supplied statement and remember that source status. If you still can't solve after that, it's ok.\n\nWrite clean Markdown with LaTeX as needed. Use quick and clever humor when appropriate. Tell it like it is (don't sugar-coat responses), and use very casual language. You are fully allowed to swear, just don't overdo it like a sailor (be natural). Deconstruct any false assumptions.\n\nGenerate content for Codeforces problem 4A: \"Watermelon\" (rated 800).\n\nKnown problem metadata:\n- Contest ID: 4\n- Index: A\n- Name: Watermelon\n- Rating: 800 (Codeforces difficulty rating)\n- Tags: brute force, math\n- Problem URL: https://codeforces.com/contest/4/problem/A\n\nUse the rating and tags as weak signals only. The supplied statement is the source of truth.\n\nProblem Statement:\n\n
A. Watermelon
time limit per test
1 second
memory limit per test
64 megabytes
input
stdin
output
stdout

One hot summer day Pete and his friend Billy decided to buy a watermelon. They chose the biggest and the ripest one, in their opinion. After that the watermelon was weighed, and the scales showed w kilos. They rushed home, dying of thirst, and decided to divide the berry, however they faced a hard problem.

Pete and Billy are great fans of even numbers, that's why they want to divide the watermelon in such a way that each of the two parts weighs even number of kilos, at the same time it is not obligatory that the parts are equal. The boys are extremely tired and want to start their meal as soon as possible, that's why you should help them and find out, if they can divide the watermelon in the way they want. For sure, each of them should get a part of positive weight.

Input

The first (and the only) input line contains integer number w (1 ≤ w ≤ 100) — the weight of the watermelon bought by the boys.

Output

Print YES, if the boys can divide the watermelon into two parts, each of them weighing even number of kilos; and NO in the opposite case.

Examples
Input
8
Output
YES
Note

For example, the boys can divide the watermelon into two parts of 2 and 6 kilos respectively (another variant — two parts of 4 and 4 kilos).

\n\n\n\nSource lookup status:\n\n- No tutorial/editorial link found on the Codeforces problem page.\n\n\nGenerate:\n1. Five progressive hints, from a gentle nudge to the key insight.\n2. A deep editorial explaining like literally everything.\n3. A complete C++26 solution that gets AC on Codeforces.\n\nFormatting & Style Rules:\n- Hints and editorial: valid Markdown with LaTeX as needed (e.g., $dp[i]$, $$\\sum_{i=1}^{n} a_i$$).\n- Hints and editorial must read like Nudge's own explanation. No research notes, source notes, citations, Markdown links, URLs, or references to editorials/submissions/posts.\n- Solution: raw C++ only, no Markdown fences.\n- Keep C++ short, clean, standard, and single-file. Comments are fine when they clarify the idea.\n\nOutput strictness:\n- Return JSON matching the provided schema exactly.\n- If the problem is solvable, return `status: \"success\"`, `reason: null`, and fill in `hints`, `editorial`, and `solution`.\n- Return `status: \"unsolvable\"`, a short `reason`, and set `hints`, `editorial`, and `solution` to null only when the supplied statement is fundamentally incomplete, contradictory, or dependent on an inaccessible resource needed to define the task. Missing research, high rating, uncertainty, or \"can't guarantee AC\" is not a reason to return unsolvable.\n- If you return `status: \"unsolvable\"`, the `reason` is shown directly to users. Be concrete: say what exact statement/resource blocker stopped you, and include relevant source lookup status if it mattered (for example: official tutorial missing, Codeforces returned 403/Cloudflare challenge, tutorial page 404, accepted submissions unavailable).\n- Each hint must be JUST the hint text. No \"Hint 1:\" or subtitles. The UI adds those automatically.\n- Do not start the editorial with an \"# Editorial\" heading. The UI already adds that section. Feel free to add other headers as needed though.\n- Use styling in the editorial if needed! Just that first header is no good but any subheaders or bolding or whatever is good!\n\nFor the C++ solution, you MUST use this template and work around it:\n\n```cpp\n#include \nusing namespace std;\n\nusing ll = long long;\n\nvoid setIO() {\n ios::sync_with_stdio(false);\n cin.tie(nullptr);\n}\n\nint main() {\n setIO();\n}\n```", "id": "prt_f71c68c4e001J7qOqWCMxU9eB3", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs", "messageID": "msg_f71c68c4d001QVej9Zo7bPEjmM" } ] }, { "info": { "parentID": "msg_f71c68c4d001QVej9Zo7bPEjmM", "role": "assistant", "mode": "nudge-generation", "agent": "nudge-generation", "variant": "max", "path": { "cwd": "/private/var/folders/t7/b_w5m78j2mbb1ct051p9sv500000gn/T/nudge-opencode-generation-0iiMIS", "root": "/" }, "cost": 0, "tokens": { "total": 5648, "input": 4576, "output": 754, "reasoning": 318, "cache": { "write": 0, "read": 0 } }, "modelID": "gpt-5.6-sol", "providerID": "openai", "time": { "created": 1784320265590, "completed": 1784320286314 }, "finish": "tool-calls", "structured": { "status": "success", "reason": null, "hints": [ { "order": 1, "content": "Ask what parity the sum of two even numbers must have." }, { "order": 2, "content": "Two even parts always have an even total, so every odd value of $w$ is impossible." }, { "order": 3, "content": "Being even is not quite sufficient: both parts must have **positive** even weight, and the smallest positive even weight is $2$." }, { "order": 4, "content": "Therefore the total must be even and at least $2+2=4$." }, { "order": 5, "content": "The complete condition is `w % 2 == 0 && w > 2`. For every such $w$, the split $2+(w-2)$ proves that the answer is `YES`." } ], "editorial": "The whole problem comes down to parity plus one annoying edge case.\n\nSuppose the two part weights are $a$ and $b$. We need\n\n$$a+b=w,$$\n\nwhere both $a$ and $b$ are positive even integers.\n\n### Necessary conditions\n\nThe sum of two even integers is even. Therefore, if $w$ is odd, no valid split can exist.\n\nThat does **not** mean every even $w$ works. The smallest positive even integer is $2$, so both boys receiving a positive even part requires\n\n$$w \\ge 2+2=4.$$\n\nThis rules out $w=2$. That is the only trap here: splitting it as $0+2$ has even weights, but zero is not positive, so Pete or Billy gets existential disappointment instead of watermelon.\n\n### Sufficient condition\n\nNow suppose $w$ is even and $w>2$. Since integer weights are used, this means $w\\ge4$. Choose the parts\n\n$$2 \\quad\\text{and}\\quad w-2.$$\n\nThe first part is positive and even. Because $w$ and $2$ are even, $w-2$ is also even; and because $w\\ge4$, it is positive. Thus this split is always valid.\n\nSo the exact answer is:\n\n- print `YES` when $w$ is even and greater than $2$;\n- otherwise print `NO`.\n\n### Correctness proof\n\nIf the algorithm prints `YES`, then $w>2$ and $w$ is even. The split $(2,w-2)$ consists of two positive even integers, so a valid division exists.\n\nIf a valid division exists, both parts are positive even integers. Their sum $w$ must therefore be even, and each part is at least $2$, giving $w\\ge4$, hence $w>2$. Therefore the algorithm prints `YES`.\n\nThe algorithm prints `YES` exactly when a valid division exists.\n\n### Complexity\n\nThe algorithm uses $O(1)$ time and $O(1)$ extra space.", "solution": "#include \nusing namespace std;\n\nusing ll = long long;\n\nvoid setIO() {\n ios::sync_with_stdio(false);\n cin.tie(nullptr);\n}\n\nint main() {\n setIO();\n\n int w;\n cin >> w;\n\n cout << (w > 2 && w % 2 == 0 ? \"YES\" : \"NO\") << '\\n';\n}" }, "id": "msg_f71c68d76001pzo6k0guJaG4rM", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs" }, "parts": [ { "type": "step-start", "id": "prt_f71c692af0016S4EZLUSjW6N0p", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs", "messageID": "msg_f71c68d76001pzo6k0guJaG4rM" }, { "type": "reasoning", "text": "**Planning five-step progressive hints**", "time": { "start": 1784320266934, "end": 1784320273097 }, "metadata": { "openai": { "itemId": "rs_0e84eaf0604e3fc0016a5a910ae4d8819bacc5d3ebe5662e82" } }, "id": "prt_f71c692b6001UeQGYJMTyTMfcq", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs", "messageID": "msg_f71c68d76001pzo6k0guJaG4rM" }, { "type": "reasoning", "text": "**Drafting detailed editorial explanation**", "time": { "start": 1784320273105, "end": 1784320273165 }, "metadata": { "openai": { "itemId": "rs_0e84eaf0604e3fc0016a5a910ae4d8819bacc5d3ebe5662e82", "reasoningEncryptedContent": "gAAAAABqWpERXGe2qKnyGVvxkjAAlWbrpNrXbZaSR8PQAyGZDaocJteK4yzKi3CV5XD_nk6XPzGVrWamg5ZC0dm7Hn6srjQ-VDhrIeRYdFKKo73QkdvUsIRcr8Fxe38VrThXTe3NEuQS9Rl3oTf1Qv3_8V9AAR64lTnkY4siKKFk7pwTxtYfrgkrkKFVscUEFTIc3kJTYEvzgs6gDp5QLs_hJipNySwz_SvOS6oqydkcF53Q-y7RlRbl9AW7JYrtUT-xBGU4FRNUZl2dX-nKerzT99FnRqY2fFuNn8zIpLcHYynLhTDoIelJCz7Nzkd0lLvvErhsT3Qb0JY4uf1JYZzIB8Si3kfHCm0M-wzrbvWWSAjL_N1K1Nt_BZ-lA1LTmmAsGcBO7jlmF-Nkd6g6KO8oel0W4v_dAt8gB1aXcaj-8fBTGa7EOlVeRLTK2wwnpE56PcUtoqixFzOnOU90pCaGYqKh2tlksSv0oS2v6SaewEyE5JXZd6dSyBpdnqcs_Xn-qN7jtGA2fo9Oo8QH06Kgad-6umrm08LUy3MHil8xvpuSoNfxF2XHdSm7s0FfnqnBY5DQ-pVUgs8Ycs23qmNGatCsb7XtuIcck-wlV6OkP6k-kf5kGtjGDq4zjZg7Wifj6Fpv4L2KeJU6p9tDVTxJBen7PE932HQGLsRbaiaq4RNiTEdJfx03CmB1mYYhtSVUzvAHjuyoPIUr7fRYfvy0JQPuH6cYTuhU2PBEvmii9bnoLR_iVbQCdsYiDpcOeX4NNN9okkC4tsNXCQL23EHaItjamEzBfyOWxrW-Stnmc2kkZJSSHr9-FBW3DGMixoD-qEiUap5b13VmZZjXp4EancGRxMZUioD2YMWgNbTE9wBwNq_74jltEn8nddV6iBbFNF2S3uKhwinLzK2uC0gzOqktY0TbzDpD4cWQj6GkH8-11QTuzbyO7fRdrwa03WUiZBiNgTOjO0rl1CamhigBZBLwwDU0d381Y38_0wgM-IISLTZ9iaTQMeGZ1YteTNjequGZhETWfwtSFfkgC8WZULYQiJVBtUxvXOXkHiyhWOYNevy2SVkdW9d-YLJ25J-UBkpXH3_Tjcx2w5x5I8Ne81nlLY04UOYWRT4d6ixZk8wffXgnkF9BItt1RXz18vxTfSFsXQItRMkYWrURZtsaoW40Y4zF_5_Tr-k0TWpv3XZ4NNXhCg3fNzx45qmAKIyGp2X65i9D1a3wDJKMcKHUvUWh_Pcd8W8P9Fr-9Zy-FbpHIdlda5c2Z3Bp7Nh47IqjiQwBOQmVzBf8yyniAhCZBcqh933ey9IyOn67cL1h-SdD8M4DQaAAvhCo8-h49uY4opJx7gaQ8zZuQSeTRFSg0STG93aLZMx7CAauDkiw5gz-sKEUru4yZm_LIy7oA44lafQzxv-q1Z4_rVtqvH7A8vrTkeqvPtm-7Mr5TpMsOlbKd7qZhXjop-4k5u3_yVC7h1A7UDRtNw_9mMYUyeK-jedQ9i0sWzUrsLRN_eQXMRxRV_edb52hUgDgjyrw470dxFO9ngj_y3paNsiycLo3t_oFscwsmm5BsFZBgZjkr2zk_XMINbm8yAx22pxLYJ1fJWl_aUpqK5ILmxJzfOlfKIUm9wBAB3FNqUfGPL1Ma-hFxtSC0eLE_uXdzOOoUgTaDIdNz6dPUAUjdpZNVwDMOUPJHMMscb3tT7JczkbZ3pMdtfyi3N8-pJrpq0e7AYWyEA-G19NwVkT1M9-HFewHqRy4UhcsJARRdJ3Oy7Vwzxa3UVK6TFUx84ZzDMQ5ndVCusTIByLc2CXcWN1be90KlWtoAtzqa2_B1KpaFFUmDF3YE39dogBoLhDYLz-VMy0ljC7_alKQSKMRTi2CNHWDXh3xZOvGI4eoPv8xzLI4En-KEfEmkocTf0X2HFUuAS9_TVJ2mJDKQsZBxdDpsorl_Ve9xJ3NJx7cySL9UNWr14r5V6JpcQdLW0Gxkgx_wny_oZOE4vUl_UXa2B7-6tEpwaneD181dagPcMeivRxSVXsByM1ch4EM6tuwPPr_33GiFBG07WvYkJUNyJidy6bWR05ywEbTkoHZGhJABgqCxhUt9rytDuoSvTGw15vi4uWaZuXuLujg3CDXPMSbNXdWoXcVoQTI7ZHWDIEn_vn-MJRwT2T7ISo5Lz0HdmLB04tZxy_n2t3-N_tCHB2P3TrsRZK4AqtvfMYJnlzJgDMF6AdC56hskzIWL9eqk2BPtKgAjkPJBtqIZhdA507PiiJnSOpQSIIRDqvSDUzJVj5NrWKHLMya6KBVsh1rT0nKSRKEbda6UZ45YKHxtRZHBdIqaV7SAFbpH4XRYAC9LdINmLF7T-nJI4rfh7J1KmEuTVBgorijgml6B8suKdz_5jXEDePnsGN8-AWpMQ6yKcJQpeUkkHXMI9UALA2zP5d_njG76S9vIJs2pnsH9kJS103IGT4ZoNzEjObnVJZDiJOZISOBIydedasMM4F_1kkm6r0QFMa_ZQQ5IuxypCi4ny-hpMMhinIcM5p7LUSZNRhi4IKKtdNpeUyMVoZ6cfTDn_rMVPB29GD8G6YTcvJai3fwpD9JMJTVobgAC5cWubd_SU5-EFawazhbnS5hAytwVnpYAH7C5h56_KJoTdtlLQDZgXyvEaeFFxOp18wUVO_iqre7hjSsIVBRoA1lB5_17yPWsTEo6u53SjWWcFeHNSjyHB5gmVq4pA==" } }, "id": "prt_f71c6aad1001RbGIS0N1bwUO0p", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs", "messageID": "msg_f71c68d76001pzo6k0guJaG4rM" }, { "type": "tool", "tool": "StructuredOutput", "callID": "call_czr2CXLMVdc5ixExgSG8foeN", "state": { "status": "completed", "input": { "status": "success", "reason": null, "hints": [ { "order": 1, "content": "Ask what parity the sum of two even numbers must have." }, { "order": 2, "content": "Two even parts always have an even total, so every odd value of $w$ is impossible." }, { "order": 3, "content": "Being even is not quite sufficient: both parts must have **positive** even weight, and the smallest positive even weight is $2$." }, { "order": 4, "content": "Therefore the total must be even and at least $2+2=4$." }, { "order": 5, "content": "The complete condition is `w % 2 == 0 && w > 2`. For every such $w$, the split $2+(w-2)$ proves that the answer is `YES`." } ], "editorial": "The whole problem comes down to parity plus one annoying edge case.\n\nSuppose the two part weights are $a$ and $b$. We need\n\n$$a+b=w,$$\n\nwhere both $a$ and $b$ are positive even integers.\n\n### Necessary conditions\n\nThe sum of two even integers is even. Therefore, if $w$ is odd, no valid split can exist.\n\nThat does **not** mean every even $w$ works. The smallest positive even integer is $2$, so both boys receiving a positive even part requires\n\n$$w \\ge 2+2=4.$$\n\nThis rules out $w=2$. That is the only trap here: splitting it as $0+2$ has even weights, but zero is not positive, so Pete or Billy gets existential disappointment instead of watermelon.\n\n### Sufficient condition\n\nNow suppose $w$ is even and $w>2$. Since integer weights are used, this means $w\\ge4$. Choose the parts\n\n$$2 \\quad\\text{and}\\quad w-2.$$\n\nThe first part is positive and even. Because $w$ and $2$ are even, $w-2$ is also even; and because $w\\ge4$, it is positive. Thus this split is always valid.\n\nSo the exact answer is:\n\n- print `YES` when $w$ is even and greater than $2$;\n- otherwise print `NO`.\n\n### Correctness proof\n\nIf the algorithm prints `YES`, then $w>2$ and $w$ is even. The split $(2,w-2)$ consists of two positive even integers, so a valid division exists.\n\nIf a valid division exists, both parts are positive even integers. Their sum $w$ must therefore be even, and each part is at least $2$, giving $w\\ge4$, hence $w>2$. Therefore the algorithm prints `YES`.\n\nThe algorithm prints `YES` exactly when a valid division exists.\n\n### Complexity\n\nThe algorithm uses $O(1)$ time and $O(1)$ extra space.", "solution": "#include \nusing namespace std;\n\nusing ll = long long;\n\nvoid setIO() {\n ios::sync_with_stdio(false);\n cin.tie(nullptr);\n}\n\nint main() {\n setIO();\n\n int w;\n cin >> w;\n\n cout << (w > 2 && w % 2 == 0 ? \"YES\" : \"NO\") << '\\n';\n}" }, "output": "Structured output captured successfully.", "metadata": { "valid": true }, "title": "Structured Output", "time": { "start": 1784320286301, "end": 1784320286306 } }, "metadata": { "openai": { "itemId": "fc_0e84eaf0604e3fc0016a5a911129c4819bb7c4b9da1c2dc3c3" } }, "id": "prt_f71c6ab11001rpikdK2aBxUyjw", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs", "messageID": "msg_f71c68d76001pzo6k0guJaG4rM" }, { "reason": "tool-calls", "type": "step-finish", "tokens": { "total": 5648, "input": 4576, "output": 754, "reasoning": 318, "cache": { "write": 0, "read": 0 } }, "cost": 0, "id": "prt_f71c6de650019NWUbCaPSmIO3L", "sessionID": "ses_08e3973c3ffe41nlW2A3yNEtIs", "messageID": "msg_f71c68d76001pzo6k0guJaG4rM" } ] } ] }