\u679a\u4e3e\u6cd5\uff0c\u5e38\u5e38\u79f0\u4e4b\u4e3a\u7a77\u4e3e\u6cd5\uff0c\u662f\u6307\u4ece\u53ef\u80fd\u7684\u96c6\u5408\u4e2d\u4e00\u4e00\u679a\u4e3e\u5404\u4e2a\u5143\u7d20\uff0c\u7528\u9898\u76ee\u7ed9\u5b9a\u7684\u7ea6\u675f\u6761\u4ef6\u5224\u5b9a\u54ea\u4e9b\u662f\u65e0\u7528\u7684\uff0c\u54ea\u4e9b\u662f\u6709\u7528\u7684\u3002\u80fd\u4f7f\u547d\u9898\u6210\u7acb\u8005\uff0c\u5373\u4e3a\u95ee\u9898\u7684\u89e3\u3002
\n\u91c7\u7528\u679a\u4e3e\u7b97\u6cd5\u89e3\u9898\u7684\u57fa\u672c\u601d\u8def\uff1a
\n\uff081\uff09 \u786e\u5b9a\u679a\u4e3e\u5bf9\u8c61\u3001\u679a\u4e3e\u8303\u56f4\u548c\u5224\u5b9a\u6761\u4ef6\uff1b
\n\uff082\uff09 \u4e00\u4e00\u679a\u4e3e\u53ef\u80fd\u7684\u89e3\uff0c\u9a8c\u8bc1\u662f\u5426\u662f\u95ee\u9898\u7684\u89e3
\n\u4e0b\u9762\u6211\u4eec\u5c31\u4ece\u679a\u4e3e\u7b97\u6cd5\u7684\u7684\u4f18\u5316\u3001\u679a\u4e3e\u5bf9\u8c61\u7684\u9009\u62e9\u4ee5\u53ca\u5224\u5b9a\u6761\u4ef6\u7684\u786e\u5b9a\uff0c\u8fd9\u4e09\u4e2a\u65b9\u9762\u6765\u63a2\u8ba8\u5982\u4f55\u7528\u679a\u4e3e\u6cd5\u89e3\u9898\u3002
\n\u4f8b1\uff1a\u767e\u94b1\u4e70\u767e\u9e21\u95ee\u9898\uff1a\u6709\u4e00\u4e2a\u4eba\u6709\u4e00\u767e\u5757\u94b1\uff0c\u6253\u7b97\u4e70\u4e00\u767e\u53ea\u9e21\u3002\u5230\u5e02\u573a\u4e00\u770b\uff0c\u5927\u9e21\u4e09\u5757\u94b1\u4e00\u53ea\uff0c\u5c0f\u9e21\u4e00\u5757\u94b1\u4e09\u53ea\uff0c\u4e0d\u5927\u4e0d\u5c0f\u7684\u9e21\u4e24\u5757\u94b1\u4e00\u53ea\u3002\u73b0\u5728\uff0c\u8bf7\u4f60\u7f16\u4e00\u7a0b\u5e8f\uff0c\u5e2e\u4ed6\u8ba1\u5212\u4e00\u4e0b\uff0c\u600e\u4e48\u6837\u4e70\u6cd5\uff0c\u624d\u80fd\u521a\u597d\u7528\u4e00\u767e\u5757\u94b1\u4e70\u4e00\u767e\u53ea\u9e21\uff1f
\n\u7b97\u6cd5\u5206\u6790\uff1a\u6b64\u9898\u5f88\u663e\u7136\u662f\u7528\u679a\u4e3e\u6cd5\uff0c\u6211\u4eec\u4ee5\u4e09\u79cd\u9e21\u7684\u4e2a\u6570\u4e3a\u679a\u4e3e\u5bf9\u8c61\uff08\u5206\u522b\u8bbe\u4e3ax,y,z\uff09,\u4ee5\u4e09\u79cd\u9e21\u7684\u603b\u6570\uff08x+y+z\uff09\u548c\u4e70\u9e21\u7528\u53bb\u7684\u94b1\u7684\u603b\u6570(x*3+y*2+z)\u4e3a\u5224\u5b9a\u6761\u4ef6\uff0c\u7a77\u4e3e\u5404\u79cd\u9e21\u7684\u4e2a\u6570\u3002
\n\u4e0b\u9762\u662f\u89e3\u8fd9\u4e2a\u767e\u9e21\u95ee\u9898\u7684\u7a0b\u5e8f<\/p>\n
\r\nvar x,y,z:integer;\r\nbegin\r\nfor x:=0 to 100 do\r\n for y:=0 to 100 do\r\n for z:=0 to 100 do\r\n {\u679a\u4e3e\u6240\u6709\u53ef\u80fd\u7684\u89e3}\r\n if (x+y+z=100) and (x*3+y*2+z div3=100) and (z mod3=0) then writeln(\u2018x=\u2019,x,\u2019y=\u2019,y,\u2019z=\u2019,z);\r\n {\u9a8c\u8bc1\u53ef\u80fd\u7684\u89e3\uff0c\u5e76\u8f93\u51fa\u7b26\u5408\u9898\u76ee\u8981\u6c42\u7684\u89e3}\r\nend.\r\n<\/pre>\n\u4e0a\u9762\u7684\u6761\u4ef6\u8fd8\u6709\u4f18\u5316\u7684\u7a7a\u95f4\uff0c\u4e09\u79cd\u9e21\u7684\u548c\u662f\u56fa\u5b9a\u7684\uff0c\u6211\u4eec\u53ea\u8981\u679a\u4e3e\u4e8c\u79cd\u9e21\uff08x,y\uff09\uff0c\u7b2c\u4e09\u79cd\u9e21\u5c31\u53ef\u4ee5\u6839\u636e\u7ea6\u675f\u6761\u4ef6\u6c42\u5f97\uff08z=100-x-y\uff09\uff0c\u8fd9\u6837\u5c31\u7f29\u5c0f\u4e86\u679a\u4e3e\u8303\u56f4\uff0c\u8bf7\u770b\u4e0b\u9762\u7684\u7a0b\u5e8f\uff1a<\/p>\n
\r\nvar x,y,z:integer;\r\nbegin\r\nfor x:=0 to 100 do\r\n for y:=0 to 100-x do\r\n begin\r\n z:=100-x-y;\r\n if (x*3+y*2+z div3=100) and (z mod3=0) then writeln(\u2018x=\u2019,x,\u2019y=\u2019,y,\u2019z=\u2019,z);\r\n end;\r\nend.\r\n<\/pre>\n\u672a\u7ecf\u4f18\u5316\u7684\u7a0b\u5e8f\u5faa\u73af\u4e861013 \u6b21\uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n3)\uff1b\u4f18\u5316\u540e\u7684\u7a0b\u5e8f\u53ea\u5faa\u73af\u4e86\uff08102*101\/2\uff09\u6b21 \uff0c\u65f6\u95f4\u590d\u6742\u5ea6\u4e3aO(n2)\u3002\u4ece\u4e0a\u9762\u7684\u5bf9\u6bd4\u53ef\u4ee5\u770b\u51fa\uff0c\u5bf9\u4e8e\u679a\u4e3e\u7b97\u6cd5\uff0c\u52a0\u5f3a\u7ea6\u675f\u6761\u4ef6\uff0c\u7f29\u5c0f\u679a\u4e3e\u7684\u8303\u56f4\uff0c\u662f\u7a0b\u5e8f\u4f18\u5316\u7684\u4e3b\u8981\u8003\u8651\u65b9\u5411\u3002
\n\u5728\u679a\u4e3e\u7b97\u6cd5\u4e2d\uff0c\u679a\u4e3e\u5bf9\u8c61\u7684\u9009\u62e9\u4e5f\u662f\u975e\u5e38\u91cd\u8981\u7684\uff0c\u5b83\u76f4\u63a5\u5f71\u54cd\u7740\u7b97\u6cd5\u7684\u65f6\u95f4\u590d\u6742\u5ea6\uff0c\u9009\u62e9\u9002\u5f53\u7684\u679a\u4e3e\u5bf9\u8c61\u53ef\u4ee5\u83b7\u5f97\u66f4\u9ad8\u7684\u6548\u7387\u3002\u5982\u4e0b\u4f8b\uff1a<\/p>\n
\u4f8b2\u3001\u5c061,2\u20269\u51719\u4e2a\u6570\u5206\u6210\u4e09\u7ec4,<\/p>\n
\u5206\u522b\u7ec4\u6210\u4e09\u4e2a\u4e09\u4f4d\u6570,\u4e14\u4f7f\u8fd9\u4e09\u4e2a\u4e09\u4f4d\u6570\u6784\u62101:2:3\u7684\u6bd4\u4f8b,\u8bd5\u6c42\u51fa\u6240\u6709\u6ee1\u8db3\u6761\u4ef6\u7684\u4e09\u4e2a\u4e09\u4f4d\u6570.
\n\u4f8b\u5982:\u4e09\u4e2a\u4e09\u4f4d\u6570192,384,576\u6ee1\u8db3\u4ee5\u4e0a\u6761\u4ef6.(NOIP1998pj)<\/p>\n
\u7b97\u6cd5\u5206\u6790\uff1a\u8fd9\u662f1998\u5e74\u5168\u56fd\u5206\u533a\u8054\u8d5b\u666e\u53ca\u7ec4\u8bd5\u9898\uff08\u7b80\u79f0NOIP1998pj\uff0c\u4ee5\u4e0b\u540c\uff09\u3002\u6b64\u9898\u6570\u636e\u89c4\u6a21\u4e0d\u5927\uff0c\u53ef\u4ee5\u8fdb\u884c\u679a\u4e3e\uff0c\u5982\u679c\u6211\u4eec\u4e0d\u52a0\u601d\u5730\u4ee5\u6bcf\u4e00\u4e2a\u6570\u4f4d\u4e3a\u679a\u4e3e\u5bf9\u8c61\uff0c\u4e00\u4f4d\u4e00\u4f4d\u5730\u53bb\u679a\u4e3e\uff1a
\nfor a:=1 to 9 do
\nfor b:=1 to 9 do
\n\u2026\u2026\u2026
\nfor i:=1 to 9 do
\n\u8fd9\u6837\u4e0b\u53bb\uff0c\u679a\u4e3e\u6b21\u6570\u5c31\u67099\uff19\u6b21\uff0c\u5982\u679c\u6211\u4eec\u5206\u522b\u8bbe\u4e09\u4e2a\u6570\u4e3ax,2x,3x\uff0c\u4ee5x\u4e3a\u679a\u4e3e\u5bf9\u8c61\uff0c\u7a77\u4e3e\u7684\u8303\u56f4\u5c31\u51cf\u5c11\u4e3a\uff19\uff13\uff0c\u5728\u7ec6\u8282\u4e0a\u518d\u8fdb\u4e00\u6b65\u4f18\u5316\uff0c\u679a\u4e3e\u8303\u56f4\u5c31\u66f4\u5c11\u4e86\u3002\u7a0b\u5e8f\u5982\u4e0b\uff1a<\/p>\n
\r\nvar t,x:integer;\r\ns,st:string; c:char;\r\nbegin\r\nfor x:=123 to 321 do{\u679a\u4e3e\u6240\u6709\u53ef\u80fd\u7684\u89e3}\r\nbegin\r\n t:=0;\r\n str(x,st);{\u628a\u6574\u6570x\u8f6c\u5316\u4e3a\u5b57\u7b26\u4e32\uff0c\u5b58\u653e\u5728st\u4e2d}\r\n str(x*2,s);\r\n st:=st+s;\r\n str(x*3,s);\r\n st:=st+s;\r\n for c:=\u20191\u2032 to \u20199\u2032 do{\u679a\u4e3e9\u4e2a\u5b57\u7b26\uff0c\u5224\u65ad\u662f\u5426\u90fd\u5728st\u4e2d}\r\n if pos(c,st)<>0 then\r\n inc(t)\r\n else break;{\u5982\u679c\u4e0d\u5728st\u4e2d\uff0c\u5219\u9000\u51fa\u5faa\u73af}\r\n if t=9 then writeln(x,\u2019 \u2018,x*2,\u2019 \u2018,x*3);\r\n end;\r\nend\r\n<\/pre>\n\u5728\u679a\u4e3e\u6cd5\u89e3\u9898\u4e2d\uff0c\u5224\u5b9a\u6761\u4ef6\u7684\u786e\u5b9a\u4e5f\u662f\u5f88\u91cd\u8981\u7684\uff0c\u5982\u679c\u7ea6\u675f\u6761\u4ef6\u4e0d\u5bf9\u6216\u8005\u4e0d\u5168\u9762\uff0c\u5c31\u7a77\u4e3e\u4e0d\u51fa\u6b63\u786e\u7684\u7ed3\u679c\uff0c \u6211\u4eec\u518d\u770b\u770b\u4e0b\u9762\u7684\u4f8b\u5b50\u3002
\n\u4f8b\uff13 \u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u6c42\u89e3(noip2001tg)<\/p>\n
\u95ee\u9898\u63cf\u8ff0 \u6709\u5f62\u5982\uff1aax3+bx2+cx+d=0 \u8fd9\u6837\u7684\u4e00\u4e2a\u4e00\u5143\u4e09\u6b21\u65b9\u7a0b\u3002\u7ed9\u51fa\u8be5\u65b9\u7a0b\u4e2d\u5404\u9879\u7684\u7cfb\u6570(a\uff0cb\uff0cc\uff0cd \u5747\u4e3a\u5b9e\u6570)\uff0c\u5e76\u7ea6\u5b9a\u8be5\u65b9\u7a0b\u5b58\u5728\u4e09\u4e2a\u4e0d\u540c\u5b9e\u6839(\u6839\u7684\u8303\u56f4\u5728-100\u81f3100\u4e4b\u95f4)\uff0c\u4e14\u6839\u4e0e\u6839\u4e4b\u5dee\u7684\u7edd\u5bf9\u503c>=1\u3002
\n\u8981\u6c42\u7531\u5c0f\u5230\u5927\u4f9d\u6b21\u5728\u540c\u4e00\u884c\u8f93\u51fa\u8fd9\u4e09\u4e2a\u5b9e\u6839(\u6839\u4e0e\u6839\u4e4b\u95f4\u7559\u6709\u7a7a\u683c)\uff0c\u5e76\u7cbe\u786e\u5230\u5c0f\u6570\u70b9\u540e2\u4f4d\u3002
\n\u63d0\u793a\uff1a\u8bb0\u65b9\u7a0bf(x)=0\uff0c\u82e5\u5b58\u57282\u4e2a\u6570x1\u548cx2\uff0c\u4e14x1<x2\uff0cf(x1)*(x2)<0\uff0c\u5219\u5728(x1\uff0cx2)\u4e4b\u95f4\u4e00\u5b9a\u6709\u4e00\u4e2a\u6839\u3002
\n\u6837\u4f8b
\n\u8f93\u5165\uff1a1 -5 -4 20
\n\u8f93\u51fa\uff1a-2.00 2.00 5.00<\/p>\n
\u7b97\u6cd5\u5206\u6790\uff1a\u7531\u9898\u76ee\u7684\u63d0\u793a\u5f88\u7b26\u5408\u4e8c\u5206\u6cd5\u6c42\u89e3\u7684\u539f\u7406\uff0c\u6240\u4ee5\u6b64\u9898\u53ef\u4ee5\u7528\u4e8c\u5206\u6cd5\u3002\u7528\u4e8c\u5206\u6cd5\u89e3\u9898\u76f8\u5bf9\u4e8e\u679a\u4e3e\u6cd5\u6765\u8bf4\u5f88\u8981\u590d\u6742\u5f88\u591a\u3002\u6b64\u9898\u662f\u5426\u80fd\u7528\u679a\u4e3e\u6cd5\u6c42\u89e3\u5462\uff1f\u518d\u5206\u6790\u4e00\u4e0b\u9898\u76ee\uff0c\u6839\u7684\u8303\u56f4\u5728-100\u5230100\u4e4b\u95f4\uff0c\u7ed3\u679c\u53ea\u8981\u4fdd\u7559\u4e24\u4f4d\u5c0f\u6570\uff0c\u6211\u4eec\u4e0d\u59a8\u5c06\u6839\u7684\u503c\u57df\u6269\u5927100\u500d\uff08-10000<=x<=10000\uff09\uff0c\u518d\u4ee5\u6839\u4e3a\u679a\u4e3e\u5bf9\u8c61\uff0c\u679a\u4e3e\u8303\u56f4\u662f-10000\u523010000\uff0c\u7528\u539f\u65b9\u7a0b\u5f0f\u8fdb\u884c\u4e00\u4e00\u9a8c\u8bc1\uff0c\u627e\u51fa\u65b9\u7a0b\u7684\u89e3\u3002
\n\u6709\u7684\u540c\u5b66\u5728\u6bd4\u8d5b\u4e2d\u662f\u8fd9\u6837\u505a<\/p>\n
\r\nvar k:integer;\r\na,b,c,d,x :real;\r\nbegin\r\n read(a,b,c,d);\r\n for k:=-10000 to 10000 do\r\n begin\r\n x:=k\/100;\r\n if a*x*x*x+b*x*x+c*x+d=0 then write(x:0:2,\u2019 \u2018);\r\n end;\r\nend.\r\n<\/pre>\n\u7528\u8fd9\u79cd\u65b9\u6cd5\uff0c\u5f88\u5feb\u5c31\u53ef\u4ee5\u628a\u7a0b\u5e8f\u7f16\u51fa\u6765\uff0c\u518d\u5c06\u6837\u4f8b\u6570\u636e\u4ee3\u5165\u6d4b\u8bd5\u4e5f\u662f\u5bf9\u7684\uff0c\u7b49\u6210\u7ee9\u4e0b\u6765\u624d\u53d1\u73b0\u8fd9\u9898\u6ca1\u6709\u5168\u5bf9\uff0c\u53ea\u5f97\u4e86\u4e00\u534a\u7684\u5206\u3002
\n\u8fd9\u79cd\u89e3\u6cd5\u4e3a\u4ec0\u4e48\u662f\u9519\u7684\u5462\uff1f\u9519\u5728\u54ea\u91cc\uff1f\u524d\u9762\u7684\u5206\u6790\u597d\u8c61\u4e5f\u6ca1\u9519\u554a\uff0c\u96be\u9053\u8fd9\u9898\u4e0d\u80fd\u7528\u679a\u4e3e\u6cd5\u505a\u5417\uff1f \u770b\u5230\u8fd9\u91cc\u5927\u5bb6\u53ef\u80fd\u6709\u70b9\u8ff7\u60d1\u4e86\u3002<\/p>\n
\u5728\u4e0a\u9762\u7684\u89e3\u6cd5\u4e2d\uff0c\u679a\u4e3e\u8303\u56f4\u548c\u679a\u4e3e\u5bf9\u8c61\u90fd\u6ca1\u6709\u9519\uff0c\u800c\u662f\u5728\u9a8c\u8bc1\u679a\u4e3e\u7ed3\u679c\u65f6\uff0c\u5224\u5b9a\u6761\u4ef6\u7528\u9519\u4e86\u3002\u56e0\u4e3a\u8981\u4fdd\u7559\u4e8c\u4f4d\u5c0f\u6570\uff0c\u6240\u4ee5\u6c42\u51fa\u6765\u7684\u89e3\u4e0d\u4e00\u5b9a\u662f\u65b9\u7a0b\u7684\u7cbe\u786e\u6839\uff0c\u518d\u4ee3\u5165ax3+bx2+cx+d\u4e2d\uff0c\u6240\u5f97\u7684\u7ed3\u679c\u4e5f\u5c31\u4e0d\u4e00\u5b9a\u7b49\u4e8e0\uff0c\u56e0\u6b64\u7528\u539f\u65b9\u7a0bax3+bx2+cx+d=0\u4f5c\u4e3a\u5224\u65ad\u6761\u4ef6\u662f\u4e0d\u51c6\u786e\u7684\u3002<\/p>\n
\u6211\u4eec\u6362\u4e00\u4e2a\u89d2\u5ea6\u6765\u601d\u8003\u95ee\u9898\uff0c\u8bbef(x)=ax3+bx2+cx+d\uff0c\u82e5x\u4e3a\u65b9\u7a0b\u7684\u6839\uff0c\u5219\u6839\u636e\u63d0\u793a\u53ef\u77e5\uff0c\u5fc5\u6709f(x-0.005)*(x+0.005)<0\uff0c\u5982\u679c\u6211\u4eec\u4ee5\u6b64\u4e3a\u679a\u4e3e\u5224\u5b9a\u6761\u4ef6\uff0c\u95ee\u9898\u5c31\u9006\u5203\u800c\u89e3\u3002\u53e6\u5916\uff0c\u5982\u679cf(x-0.005)=0\uff0c\u54ea\u4e48\u5c31\u8bf4\u660ex-0.005\u662f\u65b9\u7a0b\u7684\u6839\uff0c\u8fd9\u65f6\u6839\u636e\u56db\u820d5\u5165\uff0c\u65b9\u7a0b\u7684\u6839\u4e5f\u4e3ax\u3002\u6240\u4ee5\u6211\u4eec\u7528(f(x-0.005)*f(x+0.005)<\/p>\n
\u6211\u4eec\u8bbe\u8ba1\u4e00\u4e2a\u51fd\u6570f(x)\u8ba1\u7b97ax3+bx2+cx+d\u7684\u503c\uff0c\u7a0b\u5e8f\u5982\u4e0b\uff1a<\/p>\n
\r\n{$N+}\r\nvar k:integer;\r\na,b,c,d,x:extended;\r\nfunction f(x:extended):extended;\r\n{\u8ba1\u7b97ax3+bx2+cx+d\u7684\u503c}\r\nbegin\r\n f:=((a*x+b)*x+c)*x+d;\r\nend;\r\nbegin\r\n read(a,b,c,d);\r\n for k:=-10000 to 10000 do\r\n begin\r\n x:=k\/100;\r\n if (f(x-0.005)*f(x+0.005)<0) or (f(x-0.005)=0) then write(x:0:2,\u2019 \u2018); {\u82e5x\u4e24\u7aef\u7684\u51fd\u6570\u503c\u5f02\u53f7\u6216x-0.005\u521a\u597d\u662f\u65b9\u7a0b\u7684\u6839\uff0c\u5219\u786e\u5b9ax\u4e3a\u65b9\u7a0b\u7684\u6839}\r\n end;\r\nend.\r\n<\/pre>\n\u7528\u679a\u4e3e\u6cd5\u89e3\u9898\u7684\u6700\u5927\u7684\u7f3a\u70b9\u662f\u8fd0\u7b97\u91cf\u6bd4\u8f83\u5927\uff0c\u89e3\u9898\u6548\u7387\u4e0d\u9ad8\uff0c\u5982\u679c\u679a\u4e3e\u8303\u56f4\u592a\u5927\uff08\u4e00\u822c\u4ee5\u4e0d\u8d85\u8fc7\u4e24\u767e\u4e07\u6b21\u4e3a\u9650\uff09\uff0c\u5728\u65f6\u95f4\u4e0a\u5c31\u96be\u4ee5\u627f\u53d7\u3002\u4f46\u679a\u4e3e\u7b97\u6cd5\u7684\u601d\u8def\u7b80\u5355\uff0c\u7a0b\u5e8f\u7f16\u5199\u548c\u8c03\u8bd5\u65b9\u4fbf\uff0c\u6bd4\u8d5b\u65f6\u4e5f\u5bb9\u6613\u60f3\u5230\uff0c\u5728\u7ade\u8d5b\u4e2d\uff0c\u65f6\u95f4\u662f\u6709\u9650\u7684\uff0c\u6211\u4eec\u7ade\u8d5b\u7684\u6700\u7ec8\u76ee\u6807\u5c31\u662f\u6c42\u51fa\u95ee\u9898\u89e3\uff0c\u56e0\u6b64\uff0c\u5982\u679c\u9898\u76ee\u7684\u89c4\u6a21\u4e0d\u662f\u5f88\u5927\uff0c\u5728\u89c4\u5b9a\u7684\u65f6\u95f4\u4e0e\u7a7a\u95f4\u9650\u5236\u5185\u80fd\u591f\u6c42\u51fa\u89e3\uff0c\u90a3\u4e48\u6211\u4eec\u6700\u597d\u662f\u91c7\u7528\u679a\u4e3e\u6cd5\uff0c\u800c\u4e0d\u9700\u592a\u5728\u610f\u662f\u5426\u8fd8\u6709\u66f4\u5feb\u7684\u7b97\u6cd5\uff0c\u8fd9\u6837\u53ef\u4ee5\u4f7f\u4f60\u6709\u66f4\u591a\u7684\u65f6\u95f4\u53bb\u89e3\u7b54\u5176\u4ed6\u96be\u9898\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
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