\u8fd9\u662f\u4e00\u9053\u6807\u8bb0\u4e3ahard\u7684\u9898\uff0c\u786e\u5b9e\u6bd4\u8f83hard<\/p>\n
\u5f00\u59cb\u7528\u4e86\u4e00\u4e2a\u6bd4\u8f83\u7b80\u5355\u66b4\u529b\u7684\u65b9\u6cd5\uff0c\u5176\u5b9e\u4e5f\u662fDP\u601d\u8def\uff0c\u4f46\u662f\u72b6\u6001\u53d6\u7684\u6bd4\u8f83\u5077\u61d2\uff0c\u76f4\u63a5\u7528\u4e86\u6240\u6709\u7684\u53ef\u80fd\u7ec4\u5408\u4f5c\u4e3a\u72b6\u6001\uff0c\u867d\u7136\u5728\u6c42\u89e3\u8fc7\u7a0b\u4e2d\u53ef\u4ee5\u5229\u7528\u5230\u5df2\u7ecf\u641c\u7d22\u8fc7\u7684\u72b6\u6001\uff0c\u4f46\u662f\u6574\u4e2a\u641c\u7d22\u7a7a\u95f4\u8fd8\u662f\u592a\u5927\u4e86\uff0c\u5bfc\u81f4\u867d\u7136\u7ed3\u679c\u6b63\u786e\uff0c\u4f46\u662f\u4e25\u91cd\u8d85\u65f6\u4e86\uff1a<\/p>\n
class YetAnotherTwoTeamsProblem:\n def count(self, skill):\n ss = 0\n for i in skill:\n ss += i\n #skill.sort()\n mask = (1 << len(skill)) - 1\n stat = {0:0}\n sm = {0:100000}\n su = {}\n c = 0\n for idx,s in enumerate(skill):\n i = 1<<(idx+1)\n for j in stat.keys():\n n = i|j\n if i == j or stat[j] < 0 or stat.get(n, 1) < 0:\n continue\n\n temp = s + stat[j]\n sm[n] = min(sm[j], s)\n h = su.get(temp, {}).get(sm[n], 0)\n stat[n] = temp\n if h != 0:\n if h == -2:\n c += 1\n stat[mask^n] = -1\n elif h == -1:\n stat[mask^n] = -1\n continue\n\n d = ss - temp\n if temp < d:\n stat[n] = temp\n elif temp == d:\n stat[n] = -1\n stat[mask^n] = -1\n else:\n if temp - d < sm[n]*2:\n stat[n] = -2\n stat[mask^n] = -1\n c += 1\n else:\n stat[n] = -1\n ht = su.get(temp, {})\n if ht == {}:\n su[temp] = {sm[n]:stat[n]}\n else:\n ht[sm[n]] = stat[n]\n\n return c<\/pre>\n\u53c8\u505a\u4e86\u4e00\u6b21\u4f38\u624b\u515a\uff0c\u770b\u4e86\u89e3\u7b54\u540e\u9192\u609f\u4e86\uff0c\u5176\u5b9e\u5728\u6211\u81ea\u5df1\u7684\u89e3\u6cd5\u4e2d\u5df2\u7ecf\u6726\u80e7\u7684\u5229\u7528\u4e86\u5f53\u524d\u8003\u5bdf\u7ec4\u5408\u7684skill\u603b\u548c\u4f5c\u4e3a\u72b6\u6001\u3002\u6b63\u89e3\u662f\u91c7\u7528\u4e86skill\u603b\u548c\u4f5c\u4e3a\u72b6\u6001index\u3002<\/p>\n
\u4e0b\u9762\u89e3\u91ca\u4e0b\u6211\u81ea\u5df1\u5bf9\u8be5\u9898\u7684\u7406\u89e3\uff0c\u4e0d\u4e00\u5b9a\u5b8c\u5168\u9075\u7167\u6211\u6240\u770b\u5230\u7684\u7b54\u6848\u3002\u6211\u4eec\u5927\u6982\u53ef\u4ee5\u60f3\u5230\uff0c\u6700\u540e\u5206\u7ec4\u7684\u7ed3\u679c\uff0c\u4e24\u4e2a\u7ec4\u5404\u81ea\u7684skill\u603b\u548c\u4e00\u5b9a\u76f8\u5dee\u4e0d\u591a\uff0c\u90fd\u5728\u5168\u90e8\u961f\u5458\u603b\u548csum\/2\u9644\u8fd1\u3002\u9488\u5bf9\u67d0\u4e00\u4e2a\u961f\u5458\uff0c\u5982\u679c\u5c06\u4ed6\u9009\u5165\u7b2c\u4e00\u961f\uff0c\u90a3\u4e48\u7b2c\u4e00\u961f\u7684\u603b\u548c\u53ea\u8981\u6bd4\u7b2c\u4e8c\u961f\u81f3\u5c11\u59271\uff0c\u90a3\u4e48\u8fd9\u5c31\u662f\u4e00\u4e2a\u6709\u6548\u7684\u89e3\u3002\u6240\u4ee5\u5728\u8003\u5bdf\u5355\u4e2a\u961f\u5458\u7684\u65f6\u5019\uff0c\u662f\u4e0d\u9700\u8981\u904d\u5386\u6574\u4e2a\u7a7a\u95f4\uff08\u6240\u6709\u7684\u53ef\u80fd\u603b\u548c\u6784\u6210\uff09\u7684\uff0c\u53ea\u9700\u8981\u4ecesum\/2-skill[i]+1\u5230sum\/2\uff08\u6ce8\u610f\uff0c\u8fd9\u91ccsum\/2\u56e0\u4e3a\u662f\u6574\u578b\u8ba1\u7b97\uff0c\u53ef\u80fd\u7b49\u4e8e\u603b\u548c\u7684\u4e00\u534a\u4e5f\u6709\u53ef\u80fd\u6bd4\u4e00\u534a\u7684\u7cbe\u786e\u503c\u5c11\u4e00\u70b9\uff09\u3002\u4e4b\u6240\u4ee5\u662f\u5230sum\/2\uff0c\u662f\u56e0\u4e3a\u603b\u548c\u4e0d\u53d8\uff0c\u4e14i\u4e0d\u5728\u7b2c\u4e00\u7ec4\u5c31\u5728\u7b2c\u4e8c\u7ec4\uff0c\u6211\u4eec\u8fd9\u91cc\u8003\u8651\u7684\u662f\u628ai\u4ece\u7b2c\u4e8c\u7ec4\u62ff\u5230\u7b2c\u4e00\u7ec4\u540e\uff0c\u5c31\u80fd\u6ee1\u8db3\u89e3\u7684\u6761\u4ef6\u7684\u90a3\u4e9b\u53ef\u80fd\u72b6\u6001\u3002\u6240\u4ee5\u54ea\u6015\u662f\u7b2c\u4e00\u7ec4\u548c\u4e3asum\/2+1\uff0c\u5c31\u5df2\u7ecf\u4e0d\u6ee1\u8db3\u8fd9\u4e2a\u53ef\u80fd\u72b6\u6001\u4e86\uff0c\u56e0\u4e3a\u6b64\u65f6\u5982\u679c\u5c06i\u7ed9\u7b2c\u4e00\u7ec4\uff0c\u90a3\u4e48\u7b2c\u4e00\u7ec4\u4e00\u5b9a\u5927\u4e8e\u7b2c\u4e8c\u7ec4\uff0c\u4f46\u662f\u5c06i\u4ece\u7b2c\u4e00\u7ec4\u62ff\u5230\u7b2c\u4e8c\u7ec4\uff0c\u7b2c\u4e00\u7ec4\u7684\u548c\u56de\u5230sum\/2+1\uff0c\u7b2c\u4e8c\u7ec4\u8fd8\u662f\u6bd4\u7b2c\u4e00\u7ec4\u5c0f\uff1b\u5982\u679c\u5230sum\/2\uff0c\u90a3\u4e48\u81f3\u5c11\u8fd8\u6709\u4e00\u79cd\u53ef\u80fd\uff0c\u5373skill[i]=2\u7684\u60c5\u51b5\u3002\u6309\u7167\u4e0a\u9762\u7684\u603b\u7ed3\uff1asum\/2-skill[i]+1\u5230sum\/2\u4e3a\u6bcf\u4e2a\u961f\u5458\u7684\u8003\u5bdf\u641c\u7d22\u8303\u56f4\uff0c\u90a3\u4e48\u6700\u5927\u7684\u641c\u7d22\u8303\u56f4\u662f\u591a\u5c11\u5462\uff0c\u4e00\u5b9a\u662f\u90a3\u4e2a\u6280\u80fd\u503c\u6700\u5927\u7684\u961f\u5458\u51b3\u5b9a\u7684\uff0c\u5373sum\/2-skill[greatest]+1\u5230sum\/2\uff1b\u8fd9\u5c31\u5927\u5927\u51cf\u5c11\u4e86\u641c\u7d22\u7a7a\u95f4\u3002\u641c\u7d22\u7684\u8fc7\u7a0b\u5c31\u662f\u8003\u5bdf\u4e0a\u8ff0\u7a7a\u95f4\u5185\u6240\u6709\u7684skill\u603b\u548c\u6709\u54ea\u4e9b\u662f\u53ef\u80fd\u7684\uff0c\u628a\u6240\u6709\u53ef\u80fd\u7684\u548c\uff08\u4f5c\u4e3adp\u72b6\u6001\u7684index\uff09\u7684\u7ec4\u5408\u6570\uff08dp\u72b6\u6001\u6570\u7ec4\u7684value\uff09\u52a0\u5230\u6700\u7ec8\u7ed3\u679c\u91cc\u9762\u5c31\u53ef\u4ee5\u4e86\u3002<\/p>\n
\u641c\u7d22\u4ece\u54ea\u91cc\u5f00\u59cb\u5462\uff0c\u8fd9\u4e00\u70b9\u975e\u5e38\u91cd\u8981\uff0c\u6211\u4eec\u8981\u8ba9\u6bcf\u8d9f\u641c\u7d22\u5f97\u51fa\u7684\u4fe1\u606f\u90fd\u662f\u6b63\u786e\u7684\u4e14\u90fd\u80fd\u5bf9\u540e\u9762\u63d0\u4f9b\u6709\u5229\u7528\u4ef7\u503c\u7684\u4fe1\u606f\u3002\u4e0d\u8981\u5fd8\u4e86\u9898\u76ee\u7684\u8981\u6c42\uff0c\u662f\u8981\u7b2c\u4e00\u7ec4\u4e2d\u4efb\u610f\u4e00\u4e2a\u961f\u5458\u62ff\u5230\u7b2c\u4e8c\u7ec4\u90fd\u8981\u6ee1\u8db3\u7b2c\u4e8c\u7ec4\u603b\u548c\u5927\u4e8e\u7b2c\u4e00\u7ec4\uff0c\u8fd9\u5c31\u662f\u544a\u8bc9\u6211\u4eec\u5982\u679c\u6211\u4eec\u5f53\u524d\u8003\u5bdf\u7684\u961f\u5458\u4e0d\u662f\u7b2c\u4e00\u7ec4\u6700\u5c0f\u7684\uff0c\u90a3\u6211\u4eec\u5f97\u5230\u7684\u7ed3\u679c\u5c06\u672a\u5fc5\u662f\u6709\u6548\u89e3\uff0c\u6240\u4ee5\u8981\u4fdd\u8bc1\u641c\u7d22\u6b63\u786e\u5fc5\u987b\u6309\u987a\u5e8f\u4ece\u6280\u80fd\u503c\u6700\u5927\u961f\u5458\u5f00\u59cb\u641c\u7d22\uff0c\u4e8e\u662f\u6bcf\u6b21\u8003\u5bdf\u7684\u90fd\u662f\u7b2c\u4e00\u7ec4\u6700\u5c0f\u7684\u961f\u5458\uff0c\u5982\u679c\u4ed6\u53ef\u4ee5\u62ff\u5230\u7b2c\u4e8c\u7ec4\u800c\u4ecd\u7136\u6ee1\u8db3\u6761\u4ef6\uff0c\u90a3\u4e48\u5168\u7ec4\u90fd\u53ef\u4ee5\u4e86\u3002\u800c\u4e14\uff0c\u6bcf\u6b21\u53ea\u628a\u5f53\u524d\u961f\u5458\u7eb3\u5165\u5230\u641c\u7d22\u4e2d\uff0c\u7531\u4e8e\u662f\u6309\u4ece\u5927\u5230\u5c0f\u7684\u987a\u5e8f\uff0c\u524d\u9762\u6240\u6709\u79ef\u7d2f\u7684\u641c\u7d22\u7ed3\u679c\u5bf9\u540e\u9762\u7684\u641c\u7d22\u90fd\u662f\u53ef\u4ee5\u91c7\u7eb3\u7684\uff0c\u56e0\u4e3a\u5f53\u524d\u6280\u80fd\u503c\u5c0f\u4e8e\u7b49\u4e8e\u524d\u9762\u6240\u6709\u7684\u503c\uff0c\u5bf9\u5f53\u524d\u8003\u5bdf\u961f\u5458\u6765\u8bf4\uff0c\u8bb0\u5f55\u4e0b\u7684\u90fd\u662f\u6709\u6548\u7ec4\u5408\u3002\u6240\u4ee5\u8981\u4ece\u6700\u725b\u7684\u90a3\u4e2a\u961f\u5458\u5f00\u59cb\u8003\u5bdf\u3002<\/p>\n
\u4ee5\u7ec4\u5408\u7684\u548c\u4e3a\u72b6\u6001index\uff0c\u7ec4\u5408\u6570\u4e3avalue\u7684\u8bdd\uff0c\u5176\u8f6c\u79fb\u65b9\u7a0b\u5c31\u662f\uff0c\u5f53\u524d\u548cj\u7684\u7ec4\u5408\u6570stat[j] += stat[j-skill[i]]\uff1b\u5373\u8003\u5bdf\u67d0\u4e2a\u961f\u5458i\uff0c\u4ed6\u52a0\u5165\u7b2c\u4e00\u7ec4\u4e4b\u524d\u7684\u7ec4\u6280\u80fd\u603b\u503c\u6709\u591a\u5c11\u79cd\u7ec4\u5408\uff08stat[index_old], index_old=j-skill[i]\uff09\u65b9\u5f0f\uff0c\u8981\u52a0\u5165\u5176\u5165\u7ec4\u540e\u8fbe\u5230\u7684\u65b0\u72b6\u6001index\uff08\u65b0\u603b\u5408\uff09\u7684value\u4e2d\u3002\u8ba1\u7b97\u72b6\u6001value\u7684\u8fc7\u7a0b\uff0c\u5176\u5b9e\u5c31\u662f\u4e00\u4e2a\u7b80\u5316\u7684\u80cc\u5305\u95ee\u9898\uff0c\u7269\u54c1\u7684\u5927\u5c0f\u662f\u961f\u5458\u7684skill\u503c\uff0c\u5305\u7684\u5bb9\u91cf\u662f\u5f53\u524d\u641c\u7d22\u7684\u603b\u548cj\uff0c\u6211\u4eec\u8981\u6c42\u7684\u4e0d\u662f\u80cc\u5305\u7269\u54c1\u7684\u603b\u4ef7\u503c\uff0c\u6211\u4eec\u6c42\u7684\u662fj\u5bb9\u91cf\u7684\u80cc\u5305\u88ab\u88c5\u6ee1\u7684\u53ef\u80fd\u7ec4\u5408\u6570\u3002\u6bcf\u6b21\u641c\u7d22\u5c31\u662f\u8003\u5bdf\u5f53\u524d\u961f\u5458\u5165\u961f\u540e\uff08\u5f53\u524d\u961f\u91cc\u9762\u6240\u6709\u4eba\u6280\u80fd\u90fd\u5927\u4e8e\u7b49\u4e8e\u4ed6\uff09\u548c\u524d\u9762\u6240\u6709\u961f\u5458\u7684\u6240\u6709\u79cd\u7ec4\u5408\u5f97\u5230\u7684\u548c\u4f5c\u4e3aindex\uff0c\u5c06\u5b83\u4eec\u7edf\u8ba1\u5230stat\u6570\u7ec4\u4e2d\u3002\u6211\u4eec\u4e0d\u7528\u6bcf\u6b21\u90fd\u4ece\u5934\u5f00\u59cb\u641c\u7d22\uff0c\u53ea\u9700\u628a\u5f53\u524d\u8fd9\u4e2a\u961f\u5458\u7684skill\u5728stat\u4e2d\u6ed1\u52a8\uff0c\u6309\u7167\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u4f20\u5bfc\u4e4b\u524d\u7684\u7ed3\u679c\u5c31\u66f4\u65b0\u4e86\u6240\u6709\u72b6\u6001\u3002<\/p>\n
\u6574\u4e2a\u641c\u7d22\u8fc7\u7a0b\u5c31\u662f\uff0c\u6839\u636e\u5f53\u524d\u72b6\u6001\uff0c\u8003\u5bdf\u5269\u4f59\u6700\u5927\u961f\u5458\u52a0\u5165\u540e\u6784\u6210\u89e3\u7684\u53ef\u80fd\u548c\u7684\u7ec4\u5408\u6570\u52a0\u5165count\uff0c\u7136\u540e\u7528\u65b0\u961f\u5458\u66f4\u65b0\u6240\u6709\u72b6\u6001\uff0c\u4e3a\u4e0b\u4e00\u4e2a\u961f\u5458\u8003\u5bdf\u505a\u51c6\u5907\uff0c\u6b64\u65f6\u8be5\u961f\u5458\u5165\u961f\u540e\u5bf9\u4e0b\u4e00\u4e2a\u8003\u5bdf\u7684\u5bf9\u8c61\u6765\u8bf4\uff0c\u6240\u6709\u7684\u65b0\u7684\u7ec4\u5408\u90fd\u662f\u6709\u6548\u7684\u3002<\/p>\n
\u6211\u7684\u5b9e\u73b0\u4ee3\u7801\uff1a<\/p>\n
class YetAnotherTwoTeamsProblem:\n def count(self, skill):\n ss = 0\n for i in skill:\n ss += i\n sm = ss\/2\n skill.sort(reverse=True)\n stat = {0:1}\n c = 0\n for i in skill:\n for j in range(sm-i+1, sm+1):\n # \u5df2\u5165\u9009\u961f\u5458\u7684\u548c\u6216\u8005\u662f0\uff0c\u6216\u8005>=\u5f53\u524d\u961f\u5458skill\n if (j == 0 or j >= i) and i+j > ss-i-j and j < ss-j:\n c += stat.get(j, 0)\n # \u8fd9\u91cc\u5fc5\u987b\u5012\u5e8f\uff0c\u6bcf\u6b21\u53ea\u8ddf\u524d\u9762\u5df2\u6709\u7684\u961f\u5458\u6784\u6210\u7ec4\u5408\uff0c\u81ea\u5df1\u4e0d\u80fd\u548c\u81ea\u5df1\u7ec4\u961f\n for j in range(sm+i, i-1, -1):\n stat[j] = stat.get(j, 0) + stat.get(j-i, 0)\n\n return c<\/pre>\n <\/p>\n","protected":false},"excerpt":{"rendered":"
\u8fd9\u662f\u4e00\u9053\u6807\u8bb0\u4e3ahard\u7684\u9898\uff0c\u786e\u5b9e\u6bd4\u8f83hard \u5f00\u59cb\u7528\u4e86\u4e00\u4e2a\u6bd4\u8f83\u7b80\u5355\u66b4\u529b\u7684\u65b9\u6cd5\uff0c\u5176\u5b9e\u4e5f\u662fDP\u601d\u8def\uff0c\u4f46\u662f\u72b6\u6001\u53d6\u7684\u6bd4\u8f83\u5077\u61d2\uff0c\u76f4\u63a5\u7528\u4e86\u6240\u6709\u7684\u53ef\u80fd\u7ec4\u5408\u4f5c\u4e3a\u72b6\u6001\uff0c\u867d\u7136\u5728\u6c42\u89e3\u8fc7\u7a0b\u4e2d\u53ef\u4ee5\u5229\u7528\u5230\u5df2\u7ecf\u641c\u7d22\u8fc7\u7684\u72b6\u6001\uff0c\u4f46\u662f\u6574\u4e2a\u641c\u7d22\u7a7a\u95f4\u8fd8\u662f\u592a\u5927\u4e86\uff0c\u5bfc\u81f4\u867d\u7136\u7ed3\u679c\u6b63\u786e\uff0c\u4f46\u662f\u4e25\u91cd\u8d85\u65f6\u4e86\uff1a class YetAnotherTwoTeamsProblem: def count(self, skill): ss = 0 for i in skill: ss += i #skill.sort() mask = (1 << len(skill)) – 1 stat = {0:0} sm = {0:100000} su = {} c = 0 for idx,s in enumerate(skill): i = 1<<(idx+1) for j in stat.keys(): n = i|j if i == j … Continue reading “topcoder: YetAnotherTwoTeamsProblem”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[2],"tags":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7Dhki-25","jetpack-related-posts":[],"_links":{"self":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/129"}],"collection":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=129"}],"version-history":[{"count":6,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/129\/revisions"}],"predecessor-version":[{"id":146,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/129\/revisions\/146"}],"wp:attachment":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=129"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=129"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=129"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}