2020年央行调查报告：43.3%企业家认为宏观经济偏冷.doc

PROJECT INFORMATIONAPPROVAL STAMPProject: Approved Address: Approved as noted Contractor:Not approved Engineer: Remarks:Submittal Date: Notes 1: Notes 2:Rigidlok ® Coupling F ig.7401The Fig. 7401 Rigidlok Coupling is an ideal connector for service and applications that require a rigid connection.The Fig. 7401 Rigidlok coupling utilizes a technologically advanced housing design that conforms to and grips the pipe.Coupling installation is fast and easy, remove only one nut and swing the housing over the gasket and into the grooves. The exclusive Guidelok feature automatically separates the grooved pipe ends and guides the coupling into position as the bolts are tightened. Precisely sized and oriented tines in the housing key section firmly grip the pipe. The combination of these designed in features produce a secure, rigid pipe joint connection.The Fig. 7401 Rigidlok Coupling is designed for use with roll grooved or cut grooved standard weight and roll grooved lightweight pipe, as well as with grooved-end fittings and valves. The Rigidlok Coupling provides a rigid pipe connection allowing pipe hanging practices per ASME B31 pipe codes.The Fig. 7401 Rigidlok Coupling allows for a maximum working pressure of 750 psi (51.7 bar) when used on standard wall roll or cut grooved pipe.Material Specifications (continued)Hardware Kits (continued)EcoGuard (available in sizes up to ¾") Kit includes:• Bolts per SAE J429, Grade 5, with EcoGuard corrosion-resistant zinc flake coating and • (2) Heavy Hex Nuts per ASTM A563, Grade A, EcoGuard corrosion-resistant zinc flake coating.HousingDuctile Iron conforming to ASTM A536, Grade 65-45-12.CoatingsRust inhibiting paint Color: Orange (standard)Hot Dipped Zinc Galvanized (optional)GasketsProperties as designated in accordance with ASTM D2000Grade “EP” EPDM (Green and Red color code) -40°F to 250°F (Service Temperature Range) (-40°C to 121°C)Recommended for water service, diluted acids,alkalies solutions, oil-free air and many other chemical services.NOT FOR USE IN PETROLEUM APPLICATIONS.For hot water applications the use of Gruvlok Xtreme Temperature lubricant is recommended. NSF-61.Grade “T” Nitrile (Orange color code) NOT FOR USE IN DRINKING WATER-20°F to 180°F (Service Temperature Range) (-29°C to 82°C)Recommended for petroleum applications. Air with oil vapors and vegetable and mineral oils. NOT FOR USE IN HOT WATER OR HOT AIRGrade “O” Fluoro-Elastomer (Blue color code) NOT FOR USE IN DRINKING WATER Size Range: 1" - 12" (C style only)20°F to 300°F (Service Temperature Range) (-29°C to 149°C)Recommended for high temperature resistance to oxidizing acids, petroleum oils, hydraulic fluids, halogenated hydrocarbons and lubricants.Grade “L” Silicone (Red color code) NOT FOR USE IN DRINKING WATER Size Range: 1" - 8" (C style only)-40°F to 350°F (Service Temperature Range) (-40°C to 177°C)Recommended for dry, hot air and some high temperature chemical services.Gasket TypeC Style (1" - 24")Flush Gap (1" - 24")Lubrication StandardGruvlok Xtreme (Do Not use for Grade “L”)Material SpecificationsBoltsSAE J429, Grade 5, Zinc Electroplated (standard)Heavy Hex NutsSAE A563, Grade A, Zinc Electroplated (standard)Hardware Kits304 Stainless Steel (available in sizes up to ¾") Kit includes:• (2) Bolts per ASTM A193, Grade B8 and • (2) Heavy Hex Nuts per ASTM A194, Grade 8.Rigidlok ® Coupling F ig.7401Notes:Range of Pipe End Seperation values are for roll grooved pipe and may be doubled for cut groove pipe.† Maximum Working Pressure Rating is for schedule 40 steel pipe. For light wall, stainless steel, aluminum and ISO pipe pressure ratings, please refer to the technical data section.For additional details see “Coupling Data Chart Notes” in the Introduction Section of the Gruvlok Catalog. See Installation & Assembly directions on last page.Nominal SizePipe O.D.Max. Working Pressure †Max. End LoadRange of Pipe End SeparationCoupling DimensionsCoupling BoltsApprox. Wt. Ea.XYZQty.SizeIn./DN(mm)In./mmPSI/barLbs./kNIn./mmIn./mmIn./mmIn./mmIn./mmLbs./kg11/2 1.9007502,1260-1/32351/817/823/8 x 21/4 1.84048.351.79.460-0.797613048M10 x 570.82 2.3757503,3230-1/3231/255/817/823/8 x 21/2 2.45060.351.714.780-0.798914348M10 x 63 1.121/2 2.8757504,8690-1/32461/817/823/8 x 21/2 2.96573.051.721.660-0.7910215648M10 x 63 1.33 O.D. 2.9967505,2070-1/3241/861/817/823/8 x 21/2 3.476.176.151.723.520-0.7910515648M10 x 63 1.53 3.5007507,2160-1/3243/471/417/821/2 x 3 3.68088.951.732.100-0.7912118448M12 x 76 1.64 4.50075011,9280-3/3257/883/821/821/2 x 3 5.0100114.351.753.060-2.3814921354M12 x 76 2.351/2 O.D. 5.50075017,8190-3/32793/421/825/8 x 31/2 6.9139.7139.751.779.260-2.3817824854M16 x 85 3.15 5.56375018,2290-3/3271021/825/8 x 31/2 6.9125141.351.781.090-2.3817825454M16 x 85 3.161/2 O.D. 6.50075024,8870-3/3281121/825/8 x 31/27.6165.1165.151.7110.700-2.3820327954M16 x 85 3.46 6.62575025,8540-3/3281/8111/821/825/8 x 31/27.9150168.351.7115.000-2.3820628354M16 x 853.6Sizes 1 ¾" - 14"Size 16"Sizes 18" - 24"Rigidlok ® Coupling F ig.7401Notes:Range of Pipe End Seperation values are for roll grooved pipe and may be doubled for cut groove pipe.† Maximum Working Pressure Rating is for schedule 40 steel pipe. For light wall, stainless steel, aluminum and ISO pipe pressure ratings, please refer to the technical data section.For additional details see “Coupling Data Chart Notes” in the Introduction Section of the Gruvlok Catalog. See Installation & Assembly directions on next page.Nominal SizePipe O.D.Max. Working Pressure †Max. End LoadRange of Pipe End SeparationCoupling DimensionsCoupling BoltsApprox. Wt. Ea.XYZQty.SizeIn./DN(mm)In./mmPSI/barLbs./kNIn./mmIn./mmIn./mmIn./mmIn./mmLbs./kg88.62560035,0560-3/32101/2141/825/823/4 x 41/215.9200219.141.4155.940-2.3826735967M20 x 1107.21010.75050045,3810-3/32127/8171/225/82 1 x 625.6250273.134.5201.870-2.3832744567M24 x 15011.61212.75040051,0700-3/3215191/225/827/8 x 630.5300323.927.6227.170-2.3838149567M22 x 15013.81414.00030046,1810-3/32161/4193/4327/8 x 51/236.1350355.620.7205.430-2.3841350276M22 x 14016.41616.00030060,3190-3/32181/8221/4337/8 x 51/242.0400406.420.7268.310-2.3846056576M22 x 14019.11818.00030076,3410-3/32201/2243/831/84 1 x 451.6450457.220.7339.580-2.3852161979M24 x 10023.42020.00030094,2480-3/3223267/831/84 1 x 468.3500508.020.7419.230-2.3858168379M24 x 10031.02424.000250113,0970-3/32271/8307/831/841 x 489.3600609.617.2503.080-2.3868978479M24 x 10040.5Sizes 1 ¾" - 14"Size 16"Sizes 18" - 24"6 Assembly is CompleteVisually inspect the pipe joint to assure the coupling keys are fully engaged in the pipe grooves. The bolt pads are to have equal gaps on each side of the coupling.Notice: Visually inspect both sides of the coupling to ensure gaps between bolt pads are evenly spaced and are parallel. Anydeviations must be corrected before placing coupling into service.Notice: Sizes 16" and larger are cast inmultiple segments. To install the larger sizes align the tongue and pocket of the couplings appropriately and tighten the nuts alternately to the specified bolt torque. When properly assembled there will be a small equal gap between the adjacent bolt pads.ANSI Specified Bolt TorqueBolt SizeWrench SizeSpecified Bolt Torque*In.In.Ft.-Lbs3/811/1630-451/27/880-1005/811/16100-1303/411/4130-180115/8200-250* Non-lubricated bolt torques.1 Check & Lubricate GasketCheck gasket to be sure it is compatible for the intended service. Apply a thin coating of Gruvlok lubricant to the exterior surface and sealing lips of the gasket. Someapplications require lubrication of the entire gasket surface. Be careful that foreign particles do not adhere to lubricated surfaces.Notice: Gruvlok Xtreme Lubricant must be applied when used in dry pipe systems or freezer applications. separation. Pipe joint separation may result in significant property damage and serious injury.2 Gasket InstallationSlip the gasket over the pipe end making sure the gasket lip does not overhang the pipe end.On couplings 10" and larger it may be easier to turn the gasket inside out then lubricate and slide the gasket over the pipe end as shown.3 AlignmentAfter aligning the two pipe ends, pull the gasket into position centering it between the grooves on each pipe. Gasket should not extend into the groove on either pipe.On couplings 10" and larger, flip or roll the gasket into centered position.4 HousingsRemove one nut and bolt and loosen the other nut. Place one housing over the gasket, making sure the housing keys fit into the pipe grooves. Swing the other housing over the gasket and into the grooves on both pipes, making sure the tongue and recess of each housing is properly mated. Reinsert the bolt and run-up both nuts finger tight.5 Tighten NutsSecurely tighten nuts alternately and equally, keeping the gaps at the bolt pads evenly spaced.Notice: Uneven tightening may cause the gasket to pinch. Gasket should not be visible between segments after bolts are tightened.Check pipe ends for proper grooved dimensions and to ensure that the pipe is free of indentations, projections, or other imperfections that would prevent proper sealing of the gasket.F ig.7401 Rigidlok ® Coupling234516。

22 May 2021, 40(5): 1200-1215 Mycosystema ISSN1672-6472 CN11-5180/QShort communication简报DOI: 10.13346/j.mycosystema.200288篮状菌属分类概述及三个中国新记录种陈晗1丁刚1 孙炳达2 张争1Q 王龙2° 陈娟1QO中国医学科学院北京协和医学院药用植物研究所北京100193©中国科学院微生物研究所北京100101摘要：篮状菌属真菌在空气、土壤中分布广泛，有些种类是重要的工业酶及色素生产菌，有些则可以引起食品的污染变质，还有些种是引起浅层或散播性感染的条件致病菌，如马尔尼菲篮状菌。

篮状菌属 在传统分类学上是一个有性型属，随着多相分类以及“一种真菌一个名称”概念的广泛普及，该属的概 念已经发生了较大的变化，目前全世界己报道177个种。

本文基于国内外最新研宄结果，对篮状菌属的 分类现状、种的范围和形态学区分等进行了概述，同时基于多基因系统发育树以及形态学观察描述了3个 中国新记录种 y a /a r o m y c e s a m a z o n e n s /s N. Yilmaz, L6pez-Quint., Va sco-Pal.、T. c h /o r o /o m a Visagie & K. J a co b s 和7". m/'nnesotens/s G u e v a r a -S u a r e z , C a n o & D a n i a G a r d a ,并详细比较了它们与模式菌株的形态学差别。

关键词：篮状菌属，新记录种，多基因系统发育【引用本文]陈晗，丁刚，孙炳达，张争，王龙，陈娟，2021.篮状菌属分类概述及三个中国新记录种.菌物学报,40(5): 1200-1215Chen H, Ding G, Sun BD, Zhang Z, Wang L, Chen AJ, 2021. Current taxonomy and three new Chinese records of Tolaromyces. Mycosystema, 40(5): 1200-1215Current taxonomy and three new Chinese records of TalaromycesCH EN H an 1DING G a n g 1SUN B in g-D a2ZHANG Z h e n g10W ANG Long20CH EN A m a n d a -Ju a n 10©Institute of Medicinal Plant D e v e l o p m e n t , Chine se A c a d e m y of Medical Sciences a n d Peking U n i o n Medical College, Beijing 100193, C hina©Insti t u t e of Microbiology, C h i n e s e A c a d e m y of Sciences, Beijing 100101, ChinaAbstract: Species in the gen us 7"a /a 厂om yces are w idely distributed in air and soil, som e speciesare im portant producers of industrial enzym es and pigm ent, and certain species, e.g.丁a la ro m y c e s m a rn e ffe i, w ere reported to cause superficial or dissem inated infections tohum anity. T o la ro m yce s trad itio n a lly is a teleom orphic genus, but according to polyphasic taxo n o m y and "one fu n gus, one nam e" rules, nowaday concept of this genus has changed greatly. Th is genus now co n tains abo ut 177 species. In this paper, the taxonom ic status, species concepts〇C orresponding authors. E-mail: z h a n g z h e n g 321@126.c o m , wl_dgk@ , a m a n d a j _c h e n @l 63.c o mReceived: 2020-09-07, a c c e p te d : 2020-10-091200菌物学报Copyright © 2021 Institute of Microbiology, CAS. All rights reserved. | **********.cn Tel: +86-10-64807521简报22 May2021, 40(5): 1200-1215 Mycosystema ISSN1672-6472 CN11-5180/Qand morphological differences of Tolarom yces species are reviewed.In addition,three n e w Chinese records,Ta/a厂o m y c e s a m a z o/ieDS/.s, 7".ch/o厂o/o m a and 7".are described based on multigene phylogenetic analysis and morphological observations,a n d their differences with ex-type cultures w e r e c o m p a r e d i n detail.K e y w o r d s:Tolarom yces,n e w records,polygenic phylogeny篮状菌属Ta/aromyces C.R.Benj.由B e n j a m i n于1955年建立，属于发菌科，模式 种为7".^/7?/〇；/加1；5(?人〇311§.)(1凡6611】'.[=7". //ofvi/s(Kldcker)Stolk&S a m s o n】。

ICS29.120K30备案号：JB 中华人民共和国机械行业标准JB/T 2436.1—2020代替 JB/T 2436.1-1992导线用铜压接端头第1部分：0.5mm²～6.0mm²导线用铜压接端头Copper compression termimals for conductors —Part 1：Copper compressionterminals for 0.5mm²～6.0mm²conductors（报批稿）（本稿完成日期：2018年12月12日）XXXX-XX-XX发布XXXX-XX-XX 中华人民共和国工业和信息化部发布JB/T 2436.1—XXXX目次前言 (III)1 范围 (1)2 规范性引用文件 (1)3 产品分类 (1)3.1 型号和分类 (1)3.2 规格和尺寸 (2)4 压接工具和导线 (2)4.1 压接工具 (2)4.2 导线 (2)5 技术要求 (2)5.1 材质与加工 (2)5.2 外观和尺寸 (3)5.3 性能要求 (3)6 试验方法 (4)6.1 试验准备 (4)6.2 一般检查 (4)6.3 性能试验 (5)7 检验规则 (10)7.1 型式试验 (10)7.2 定期检验 (11)7.3 出厂检验 (12)8标志、包装及储存运输 (12)8.1 标志、包装 (12)8.2 产品运输、贮存的环境条件 (13)附录A（资料性附录）端头产品类别代号、结构图和外形尺寸 (14)A.1 TU1型裸端头结构图和外形尺寸 (14)A.2 TUL1型裸端头结构图和外形尺寸 (15)A.3 TO1型裸端头结构图和外形尺寸 (17)A.4 TC1型裸端头结构图和外形尺寸 (18)A.5 TJ1型裸端头结构图和外形尺寸 (20)A.6 TZ1型裸端头结构图和外形尺寸 (21)A.7 TP1型裸端头结构图和外形尺寸 (22)A.8 TL1型裸端头结构图和外形尺寸 (23)IJB/T 2436.1—XXXXA.9 TU1型预绝缘端头结构图和外形尺寸（包括带喇叭口） (23)A.10 TUL1型预绝缘端头结构图和外形尺寸（包括带喇叭口） (25)A.11 TO1型预绝缘端头结构图和外形尺寸（包括带喇叭口） (26)A.12 TC1型预绝缘端头结构图和外形尺寸（包括带喇叭口） (28)A.13 TJ1型预绝缘端头结构图和外形尺寸（包括带喇叭口） (29)A.14 TZ1型预绝缘端头结构图和外形尺寸（包括带喇叭口） (31)A.15 TP1型裸端头结构图和外形尺寸（包括带喇叭口） (31)A.16 TL1型预绝缘端头结构图和外形尺寸（包括带喇叭口） (32)附录B（资料性附录）TZ型端头试验连接用端子尺寸 (33)B.1 TZ型端头试验连接图及连接用端子尺寸 (33)图1 温升试验 (5)图2 压接电阻试验 (6)图3 耐拉力试验 (7)图4 拉力扭曲试验 (8)图5 介电强度试验 (8)图6 绝缘套固定度试验 (9)图7 着火危险试验 (10)图A.1 TU1型裸端头结构图 (14)图A.2 TUL1型裸端头结构图 (15)图A.3 TO1型裸端头结构图 (17)图A.4 TC1型裸端头结构图 (18)图A.5 TJ1型裸端头结构图 (20)图A.6 TZ1型裸端头结构图 (21)图A.7 TP1型裸端头结构图 (22)图A.8 TL1型裸端头结构图 (23)图A.9 TU1型预绝缘端头结构图（包括带喇叭口） (23)图A.10 TUL1型预绝缘端头结构图（包括带喇叭口） (25)图A.11 TO1型预绝缘端头结构图（包括带喇叭口） (26)图A.12 TC1型预绝缘端头结构图（包括带喇叭口） (28)图A.13 TJ1型预绝缘端头结构图（包括带喇叭口） (29)图A.14 TZ1型预绝缘端头结构图（包括带喇叭口） (31)图A.15 TP1型裸端头结构图（包括带喇叭口） (31)图A.16 TL1型预绝缘端头结构图（包括带喇叭口） (32)图B.1 TZ型端头压接电阻试验连接图 (33)表1 端头的名称与型号 (2)表2 试验电流值 (5)表3 扭力矩参数值 (6)表4 拉力扭矩试验参数 (8)表5 用于耐老化试验的恒温箱温度设定值 (9)表6 型式试验项目 (11)IIJB/T 2436.1—XXXX表7 定期检验项目 (12)表8 出厂检验项目 (12)表A.1 TU1型裸端头外形尺寸 (14)表A.2 TUL1型裸端头外形尺寸 (16)表A.3 TO1型裸端头外形尺寸 (17)表A.4 TC1型裸端头外形尺寸 (19)表A.5 TJ1型裸端头外形尺寸 (20)表A.6 TZ1型裸端头外形尺寸 (22)表A.7 TP1型裸端头外形尺寸 (22)表A.8 TL1型裸端头外形尺寸 (23)表A.9 TU1型预绝缘端头外形尺寸（包括带喇叭口） (24)表A.10 TUL1型预绝缘端头外形尺寸（包括带喇叭口） (25)表A.11 TO1型预绝缘端头外形尺寸（包括带喇叭口） (27)表A.12 TC1型预绝缘端头外形尺寸（包括带喇叭口） (28)表A.13 TJ1型预绝缘端头外形尺寸（包括带喇叭口） (30)表A.14 TZ1型预绝缘端头外形尺寸（包括带喇叭口） (31)表A.15 TP1型裸端头外形尺寸（包括带喇叭口） (32)表A.16 TL1型预绝缘端头外形尺寸（包括带喇叭口） (32)表B.1 TZ型端头试验连接用端子尺寸 (33)IIIJB/T 2436.1—XXXXIV 前言本部分按照 GB/T 1.1—2009给出的规则起草。

主要是每搏心输出量发生变化,左心室每搏输出量减少导致低氧血症,进而反射性增高心率水平。

研究认为T波倒置是早期诊断急性肺栓塞的重要指标，同时可根据T波倒置情况对病情程度进行判断,T波倒置范围左移越明显，则急性肺栓塞严重程度越高问。

本研究中7%患者出现V1~V6T波倒置，在溶栓治疗后明显改善。

研究发现,RavR振幅是肺动脉 压高低的反映指标，同时基本不会被其他因素所影响本研究中S I Q+T+占17%，分析是由于心室扩张后引发心脏转位，额面心电QRS向量顺钟向转位，终末最后转到右上侧，此外，缺血后继发的左后分支阻滞也会引起S I Q+T+主波向上。

研究证实，肺性P波、右束支阻滞与急性肺栓塞病情严重程度紧密相关，也可以视作肺动脉主干栓塞和右束支 阻滞严重程度的反映指标'11(。

本研究室性早搏出现率仅为2%,加上研究发现引起这一病变出现的因素有多种,所以该指标用于诊断急性肺栓塞的价值偏低。

综上所述，心电图检查用于急性肺栓塞诊断中有重要价值,虽会有多变性、一过性特点，特征不够明确，但基本都会有异常表现，临床应该加强重视,细致分析,结合临床表现、辅助检查结果对心电图结果进行全面分析,使心电图结果在急性肺栓塞诊断中发挥最大作用。

参考文献[1]屈朝法，王高峰.心电图在急性肺栓塞患者早期危险分层中的意义[J].中国老年学杂志,2019,39(20):4887-4889.[2]闫喜灵，郑丹丹.抗凝治疗对急性肺栓塞患者心电图图谱和凝血功能的影响[J].临床肺科杂志,2019,24(6)：1003-1006. [3]苏朝霞，龚辉.急性肺栓塞心电图特点及其临床意义[J].上海医药,2019,40(24):26-28,55.[4]张妮潇，刘彤，于书雨，等.急性肺栓塞伴晕厥患者心电图Bru-gada波1例[J].临床心电学杂志,2017,26(1):57-58.[5]王艳彩，刘卫民.急性肺栓塞患者心电图动态演变的特点分析[J].临床心电学杂志,2017,26(1)：34-36.[6]唐莉.心电图联合超声心动图在急性肺栓塞患者中的诊断价值和安全性评价[J].中国社区医师,2019,35(34):119-120. [7] Sheng FQ,Xu R,Xia JD,et al.ECG patterns indicate severity ofacute pulmonary embolism:insights from serial ECG changes ina patient treated with thrombolysis[J].J Emerg Med,2017,52(6):e251-e253.[B]张静华，王随峰，施念，等•心电图在判断急性肺栓塞发生部位中的应用价值[J].郑州大学学报(医学版),2018,53⑷:485-488.[9]韩鹏达，高丁•心电图在院前急救中对急性肺栓塞诊断评估的探讨[J]•中国临床医生杂志,2017,45⑷:50-52.[10]施宇衡,陈艳艳，马佳韵•门诊初诊的急性肺栓塞患者诊断延误情况及临床特征分析[J].中国全科医学,2018,21(31):3832-3836.[11]胡圣,薛金红，张成，等•心电图在急性肺栓塞患者右心功能不全和预后评估中的价值[J]・江苏医药,2020,46(1):51-54.(收稿日期：2020-05-14)艾拉莫徳与羟氯喹治疗干燥综合征疗效及安全性比较赵建青干燥综合征在临床上并不少见，属于慢性炎症性自身免 疫疾病，女性发病率高于男性。

2020ICPC江西省大学生程序设计竞赛（A,B,E,G,H,I,K,L,M）judge: 牛客A-A Simple Math Problemjudge:牛客题意给你一个n，让你求出\(\sum_{i=1}^{n}\sum_{j=1}^{i}[gcd(i,j)==1]f(j)\)。

其中f(x)表示的是数位和，eg:f(122)=1+2+2=5。

题解一眼可以看出是道反演题，但是仔细想想发现不是特别好维护，然后给的范围又有点误导，让人以为可以瞎搞过（实际上真的可以打表过或者容斥过），然后中间耽搁了很长时间，还写了个瞎搞的做法，不过没敢交，最后才发现转换一下就是一道经典的反演题。

首先题目让我们求的是\(\sum_{i=1}^{n}\sum_{j=1}^{i}[gcd(i,j)==1]f(j)\)，我们需要转换成\(\sum_{i=1}^{n}f(i)\sum_{j=i+1}^{n}[gcd(i,j)==1]\)。

其实只是枚举策略的变换，求的答案还是一样，只不过第二个公式可以用反演求，而且还比较好求，第一个没有办法用反演做（其实是我不会）。

至于原因，我们需要对第一个公式有足够的了解，第一个公式让我们求的是所有比当前数小，且与当前数互质的数的数位和。

思维转换一下，我们把每个数单独进行考虑，每个数对答案产生的贡献就是比它大，且与它互质的数的个数乘以这个数的数位和（就是转换后的公式）。

至于第二个公式怎么求，可以参考我写的一篇题解，这个题让我们求的就是前半部分，只不过数位和变成了数位乘。

代码#include <bits/stdc++.h>#define PI atan(1.0)*4#define rp(i,s,t) for (int i = (s); i <= (t); i++)#define RP(i,t,s) for (int i = (t); i >= (s); i--)#define sc(x) scanf("%d",&x)#define scl(x) scanf("%lld",&x)#define ll long long#define ull unsigned long long#define mst(a,b) memset(a,b,sizeof(a))#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1#define pii pair<int,int>#define pll pair<ll,ll>#define pil pair<int,ll>#define m_p make_pair#define p_b push_back#define ins insert#define era erase#define INF 0x3f3f3f3f#define LINF 0x3f3f3f3f3f3f3f3f#define dg if(debug)#define outval(a) cout << "Debuging...|" << #a << ": " << a << "\n";using namespace std;int debug = 0;ll gcd(ll a,ll b){return b?gcd(b,a%b):a;}ll lcm(ll a,ll b){return a/gcd(a,b)*b;}inline int read(){int s=0,f=1;char ch=getchar();while(ch<'0'||ch>'9'){if(ch=='-') f=-1;ch=getchar();}while(ch>='0'&&ch<='9'){ s=s*10+ch-'0';ch=getchar();}return s*f;}const int N = 1e6+7;int n;ll phi[N],mu[N];int prime[N];int flag[N];ll F[N];ll G[N];ll Num[N];int num=0;int f(int x){int ans=0;while(x) ans+=x%10,x/=10; return ans;}int g(int x){int ans=1;while(x) ans*=x%10,x/=10;}void init(){phi[1]=1;mu[1]=1;F[1]=G[1]=1;for (int i=2;i<=n;i++){F[i]=f(i);G[i]=g(i);if (flag[i]==0)//这代表i是质数{prime[++num]=i;phi[i]=i-1;mu[i]=-1;}for (int j=1;j<=num&&prime[j]*i<=n;j++){flag[i*prime[j]]=1;if (i%prime[j]==0){phi[i*prime[j]]=phi[i]*prime[j];mu[i*prime[j]]=0;break;}phi[i*prime[j]]=phi[i]*(prime[j]-1),mu[i*prime[j]]=-mu[i]; }}rp(i,1,n) for(int j=i;j<=n;j+=i) Num[i]+=F[j];}void solve(){n=read();init();ll ans2=0;rp(i,1,n){ll t=0;for(int j=i;j<=n;j+=i) t+=F[j];ans1+=mu[i]*t*(n/i);}rp(i,1,n) ans2+=F[i]*phi[i];cout<<ans1-ans2+1<<endl;}int main(){//ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);#ifdef ONLINE_JUDGE#elsefreopen("in.txt", "r", stdin);//debug = 1;#endiftime_t beg, end;//if(debug) beg = clock();solve();/*if(debug) {end = clock();printf("time:%.2fs\n", 1.0 * (end - beg) / CLOCKS_PER_SEC);}*/return 0;}B-Applejudge:牛客题意现有n个苹果，求出能否分给m个人，满足所有人的苹果总数都不一样。

第2 2卷第1 2期2020年12月辽宁中医药大学学报JOURNAL OF LIAONING UNIVERSITY OF TCMVol. 22 No. 12D ec.，2020DOI： 10.13194/j.issn.1673-842x.2020.12.046膝骨性关节炎中医药治疗研究进展徐志为，韩杰,余绍涌，邢沙沙，章晓云，刘昊(广西中医药大学附属瑞康医院，广西南宁530011 )摘要：膝骨性关节炎是临床的常见病，多发病。

许多学者运用传统中医特色疗法如中药、针刀、针刺、推拿等治 疗方法对膝骨性关节炎患者进行治疗，取得了良好的临床疗效。

该文查阅中医药治疗膝骨性关节炎的相关文献，主 要对现代医家、学者运用中医传统疗法治疗膝骨性关节炎患者的临床疗效进行了总结，综述膝骨性关节炎的中医药 治疗研究进展..关键词：膝骨性关节炎；中医药；进展中图分类号：R684.3 文献标志码：A文章编号：1673-842X(2020) 12-0205-04R esearch P ro g ress o f T ra d itio n a l C hinese M edicine in th e T re a tm e n t o f K nee O ste o a rth ritis XU Zh iw ei,HAN J i e,YU Shaoyong,XIN G Sh ash a,ZH AN G X iaoyun,LIU Hao(Ruikang Hospital Affiliated to Guangxi University of Chinese M edicine,Nanning53001 1,G uangxi,China )A b s tra c t: Knee osteoarthritis is a common and frequently occurring d ise ase.Many scholars have used the traditional Chinese m edicine characteristic therapies such as Chinese m ed icin e,acupotom y, acupuncture and m assage to treat knee osteoarthritis patients,and achieved good clin ical e fficacy.This paper reviews the literature on the treatment of knee osteoarthritis with traditional Chinese m edicine,mainly summarizes the clinical efficacy of modern doctors and scholars in the treatment of knee osteoarthritis with traditional Chinese m edicine,and summarizes the research progress in the treatment of knee osteoarthritis with traditional Chinese medicine.K e y w o rd s：knee osteoarthritis;traditional Chinese m edicine;progress骨性关节炎（osteoarthritis，OA )是一种进彳了性 退行性关节疾病，累及全身各大关节，其病理改变主要表现为关节软骨损伤、骨赘形成、软骨下骨改变、滑膜炎症和关节囊增生等。