新版triz矛盾矩阵-表格程序2003

TRIZ-解决问题的方法创新原理TRIZ(2003版）改善的通用工程参数恶化的通用工程参数解决 方案 气瓶 现场处置方案 .pdf气瓶 现场处置方案 .doc见习基地管理方案.doc关于群访事件的化解方案建筑工地扬尘治理专项方案下载 17转变到新空间维度[20]15动态化（或各部分可改变相对位置）[8]3局部质量[13]31用多孔材料[32]2抽取（提取、找回、移走）[6]4增加非对称性[25]29用气动或液压结构（替代固体部分）[15]1分割[4]www.ideabrain.co.kr0四十个发明原理使用频次1分割[4]4rd17转变到新空间维度[20]2抽取（提取、找回、移走）[6]6th15动态化（或各部分可改变相对位置）[8]3局部质量[13]13th3局部质量[13]4增加非对称性[25]25th31用多孔材料[32]5合并、组合[37]37rd2抽取（提取、找回、移走）[6]6使之普遍性、多用性[21]21th4增加非对称性[25]7用嵌套（俄罗斯套娃）[36]36th29用气动或液压结构（替代固体部分）[15]8用配重（重量补偿）[33]33nd1分割[4]9预先反作用（预先采取行动来抵消、控制、防止）[41]41th10预先作用（预先对物体施加改变）[2]2nd11预先应急措施（防范）[29]29th12利用等势[39]39th17转变到新空间维度[20]13反过来做（反向作用）[11]11th15动态化（或各部分可改变相对位置）[8]14曲面化[23]23st3局部质量[13]15动态化（或各部分可改变相对位置）[8]8th31用多孔材料[32]16部分或超额行动（未达到或过度的作用）[17]17th2抽取（提取、找回、移走）[6]17转变到新空间维度[20]20th4增加非对称性[25]18机械振动（共振、电压振动、超声波和电磁场耦合）[7]7th29用气动或液压结构（替代固体部分）[15]19用周期性的行动（作用、脉冲）替代[9]9th1分割[4]20（保持）有效动作（作用）的连续性[42]42th21快速通过，减少有害作用的时间[35]35th22变害为利[22]22nd23引入反馈[37]37th24借助中介物[19]19th25自服务[29]29th26用复制（品）（虚拟物体）[12]12th27一次性用品(廉价替代品）[14]14th28替代机械系统（声、光、电磁或影响人类感觉）[5]5th29用气动或液压结构（替代固体部分）[15]15th30用柔性壳体或薄膜[26]26th31用多孔材料[32]32th32改变颜色[10]10th33使同质性、匀质性[40]40th34使抛弃或再生部件[16]16th35改变特征（物理或化学参数改变）[1]1st36状态转变（物质相变）[27]27th37热膨胀（组合不同的热膨胀系数的几种材料）[27]27th38加速氧化（强氧化剂）[31]31st39用惰性环境或真空环境替代[24]24rd40用复合材料替代[18]18th90Any99All按频次排序发明原理使用频次优先级别使用频次按频次排序123244131222262742312713234347525232453537229568521222673636163784433160892641158910274214710114929141111232391401213141111271314832312214151608118151699171051617872099171816379518191589921920194287202137358521228422842223353783232492197724254929752526140126726271221460272822956028291181549293067264930314732483132147104732333140443334105164034354131373536602736363760273537384831353839772432394095183140904026419923419421移动物体的重量1-移动物体的重量1.移动物体的质量：在重力场中运动物体所受到的重力。2静止物体的重量2-静止物体的重量2.静止物体的质量：在重力场中静止物体所受到的重力。3移动物体的长度3-移动物体的长度3.移动物体的长度：长度是指移动物体的任意线性尺寸，如长、宽、高、角度4静止物体的长度4-静止物体的长度4.静止物体的长度：长度是指静止物体的任意线性尺寸，如长、宽、高、角度5移动物体的面积5-移动物体的面积5.移动物体的面积：面积是指物体内部或外部的任意二维尺寸。6静止物体的面积6-静止物体的面积6.静止物体的面积：面积是指物体内部或外部的任意二维尺寸。7移动物体的体积7-移动物体的体积7.移动物体的体积：体积是指物体的三维尺寸。8静止物体的体积8-静止物体的体积8.静止物体的体积：体积是指物体的三维尺寸。9形状9-形状9（12）形状：物体或系统的外貌或轮廓。10物质的数量10-物质的数量10（26）物质的数量：制造一个物体（或系统）所需要的材料、部件或子系统等物质的数量，它们可以部分或全部、临时或永久地被改变11信息（资料）的数量11-信息（资料）的数量11.信息的数量：一种（附属）系统的信息资源（资料）的数量。12移动物体的耐久性12-移动物体的耐久性12（15）运动物体的耐久时间：运动物体完成规定作用的时间、服务时间，以及耐久力等（即物体失去功能前的寿命）。两次故障之间的平均时间也是作用时间的一种度量。13静止物体的耐久性13-静止物体的耐久性13（16）静止物体的耐久时间：静止物体完成规定作用的时间、服务时间，以及耐久力等（即物体失去功能前的寿命）。两次故障之间的时间也是作用时间的一种度量。14速度14-速度14（9）速度：运动物体的速度，单位时间物体活动过程或作用。15力15-力15（10）力：两个物体（或系统）间相互作用的度量。试图改变物体状态的任何作用。16移动物体消耗的能量16-移动物体消耗的能量16（19）运动物体消耗的能量：运动物体在做功期间所耗费的能量。力学中能量指作用力与距离的乘积，包括消耗超系统提供的能量。17静止物体消耗的能量17-静止物体消耗的能量17（20）静止物体的消耗能量：静止物体在做功期间所耗费的能量。力学中能量指作用力与距离的乘积，包括消耗超系统提供的能量。18功率18-功率18（21）功率：单位时间内所做的功或消耗的能量，即利用能量的速度19张力/压力19-张力/压力19（11）张力/压力（应力或压强）：作用在物体单位面积上的力。20强度20-强度20（14）强度：物体抵抗外力而使其本身不被破坏（分裂）的能力。21结构的稳定性21-结构的稳定性21（13）结构的稳定性：系统的完整性及系统组成部分之间的关系。整个物体或系统在受外在因素影响而维持不变的能力。磨损、化学分解及拆卸都会降低稳定性。22温度22-温度22（17）温度：物体或系统所处的热状态，包括其它热参数如影响改变温度变化速度的热容量。23明亮度23-明亮度23（18）明亮度（照度）：单位面积上的光通量。可以理解为物体的亮度、反光性、照明质量等。24运行效率24-运行效率24.运行效率：涉及一个物体或系统的主要有用功能或相关功能25物质的浪费25-物质的浪费25（23）物质的浪费（损失）：对系统或物体做无用功所消耗的物质26时间的浪费26-时间的浪费26（25）时间的浪费（损失）：时间是指一项活动所延续的时间间隔。改进时间的浪费指减少一项活动所花费的时间。27能量的浪费27-能量的浪费27（22）（能量的浪费（损失）：对系统或物体做无用功所消耗的能量28信息的遗漏28-信息的遗漏28（24）信息的遗漏（损失）：资料或系统输入项目数据的丢失。29噪音29-噪音29..噪音：涉及到物理噪音或噪音数据有关。例如 标准 excel标准偏差excel标准偏差函数exl标准差函数国标检验抽样标准表免费下载红头文件格式标准下载 、频率和音色等的参数30有害的散发30-有害的散发30.有害的散发：一个系统或物体产生任何形式的污染物或向环境扩散。31有害的副作用31-有害的副作用31（31）有害的副作用（物体产生的有害因素）：造成系统效应或完成功能质量降低的有害因素。这些有害因素来自物体或系统操作的一部分而产生的。32适应性32-适应性32（35）适应性：系统或物体应对外部变化的能力，或在各种外部影响下发挥功能的能力。33兼容性或连通性33-兼容性或连通性33.兼容性/可连通性：该个系统和其它系统能够联合的程度。34使用方便性34-使用方便性34（33）使用方便性（操作性）：物体或系统在使用或操作上的容易程度。要使操作过程中需要的人数越少、操作步骤越少，以及工具越少，代 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 方便性越高，同时还要确保有较高的产出。35可靠性35-可靠性35（27）可靠性：物体或系统能够正常执行其功能的能力。可理解为无故障操作概率或无故障运行时间。36易修护性36-易修护性36（34）易维护性（维修性）：物体或系统发生故障或损坏后容易修护或恢复功能的程度。需要时间短、方便和简单。37安全性37-安全性37.安全性：系统或物体保护自己的能力，免受未获准的进入、使用、窃取或其它不利影响。38易受伤性38-易受伤性38.易受伤性：一个物体或系统保护自己或它的用户不受危害的能力。一个物体或系统抵抗外部损坏的能力。39美观39-美观39.美观：一个物体或系统的外观是否漂亮40外来有害因素40-外来有害因素40（30）外来有害因素（作用于物体有害因素）：物体对来自外部或环境中造成系统效率或质量的降低的有害作用的影响力。41可制造性41-可制造性41（32）可制造性（制造性）：物体或系统在制造过程中方便或简易程度。42制造的准确度42-制造的准确度42（29）制造的准确度（精度）：制造产品的实际性能与 设计 领导形象设计圆作业设计ao工艺污水处理厂设计附属工程施工组织设计清扫机器人结构设计 所需性能或技术规范和标准所预定的性能之间存在的误差。43自动化程度43-自动化程度43（38）自动化程度：物体或系统在无人操作的情况下完成任务的能力。44生产率44-生产率44（39）生产率：在单位时间内，系统或物体所完成的功能或操作次数。或完成一个功能或操作所需的时间以及单位时间的输出，或单位输出的成本等。45装置的复杂性45-装置的复杂性45（36）装置的复杂性：构成物体或系统的元件数量以及多样性。46控制的复杂性46-控制的复杂性46（37）控制的复杂性：用于测量或操作系统所需的组件数量与多样性。一个系统复杂、成本高、需要较长时间建造及使用，或部件与部件之间关系复杂，都使得系统的监控与测试困难，测试精度高，增加了测试的成本，也是测试难度的一种标志。47测量的难度47-测量的难度47.测量难度：测量工作复杂、昂贵、耗时，测量困难、精度高。48测量的准确度48-测量的准确度48（28）测量的准确度（精度）：系统或物体性质所测量到的值于其实际值之间的误差。减少误差将提高测试精度。GenrichAltshuller矛盾矩阵表10203040改善的通用工程参数5104恶化的通用工程参数22042009TaoRiuCo.,Ltd304Lookup17,15,3,31,2,4,29,1,31715,3,31,2,4,29,1,3153,31,2,4,29,1,2331,2,4,29,1,3312,4,29,1,224,29,1,2429,1,3291,2104100%解恶化参数改善参数123456789101112131415161718192021222324252627282930313233343536373839404142434445464748135,28,31,8,2,3,103,19,35,40,1,26,217,15,8,35,34,28,29,30,4015,17,28,12,35,29,3028,17,29,35,1,31,417,28,1,29,35,15,31,428,29,7,40,35,31,240,35,2,4,73,35,14,17,4,731,28,26,7,2,3,5,402,5,7,4,34,1010,5,34,16,210,5,28,35,16,215,2,25,19,38,1810,30,35,28,8,37,1835,10,19,3,34,31,1235,15,1,28,7,14,34,3919,30,36,31,12,18,14,25,110,40,30,36,37,31,4,3,1228,31,40,35,10,30,18,14,435,1,30,39,29,21,7,19,122,40,6,31,36,29,4,38,321,35,32,38,13,19,231,2,28,3,35,255,35,31,24,3,4,7,4010,19,28,20,35,1,2,3,1619,6,3,10,2,13,34,1210,24,11,35,2535,2,25,13,3,5,39,142,30,39,25,10,21,31,35,272,35,10,39,3,31,22,24,2729,28,15,2,12,5,7,3410,15,13,5,24,25,262,15,3,11,25,23,35,24,13,17,1,35,27,14,11,4,312,28,17,27,3,30,33,11,142,5,6,23,24,2826,10,17,13,35,2,5,283,1,31,14,40,305,24,27,21,2,25,18,31,351,5,36,25,16,14,27,24,328,5,26,35,25,1,18,24,335,26,2,10,25,24,1,19,1835,24,10,28,12,1,37,3,1626,35,40,30,36,2,10,25,2810,12,2,19,15,526,28,32,5,20,36,32,3728,26,35,10,2,37235,3,40,2,31,1,2635,31,3,13,17,2,40,2817,4,30,35,3,517,35,9,31,13,3,517,3,30,7,35,4,1417,14,3,35,30,4,9,40,1314,13,3,40,35,5,3031,35,7,3,13,3013,7,3,30,35,31,29,1035,31,5,18,25,228,13,7,26,2,173,35,10,12,4,17,1440,35,31,6,19,27,23,35,17,30,36,235,9,8,3,40,133,17,14,19,18,3012,13,1,28,19,3,3513,35,19,3,18,1535,8,3,13,40,17,4,12,535,31,8,40,17,4,29,13,515,5,17,30,4,31,1235,3,36,19,32,30,2519,35,24,32,31,735,31,7,3,13,4013,14,5,3,17,1210,35,19,25,28,26,2028,35,7,31,13,32,3910,15,35,3,32,7,2614,35,31,1,930,40,13,19,21,2440,3,39,2,31,28,8,1535,3,15,19,1,2,28,402,13,24,3,17,3913,1,32,14,4,26,610,2,14,40,28,29,252,17,13,27,1128,2,17,30,4,13,1440,9,31,3,7,147,31,3,4,32,117,37,31,3,19,9,4,3435,8,9,1,10,28,3,4010,35,17,29,7,16,252,26,30,12,23,1328,35,15,4,29,1,3,19,2513,4,17,14,26,10,1,917,25,13,19,10,3,217,25,37,32,28,15,1826,28,18,37,4,3331,4,17,15,34,8,29,30,11,2,17,15,30,4,517,1,3,35,14,4,151,17,15,24,13,3015,17,4,14,1,3,29,30,3517,3,7,15,1,4,2917,14,7,4,3,35,13,1,30,217,31,3,19,14,4,301,35,29,3,30,10,17,14,1235,3,4,1,40,30,3128,1,10,32,17,13,1519,17,10,1,2,3,2810,35,1,3,19,214,1,13,4,17,12,4,317,4,14,10,7,12,21,35,17,14,3,25,8,24,2235,17,14,3,1,24,151,35,14,3,38,29,19,41,35,3,14,12,8,17,2935,29,40,8,34,3,31,15,301,15,3,14,17,34,12,35,4010,15,35,19,3,3619,1,32,5,2417,35,19,3,4,1,13,281,4,35,29,28,3,10,2315,19,2,10,29,4,32,35,14,1,7,3,39,191,24,25,2,3,3217,3,13,1,19,28,3510,35,38,7,19,24,303,17,15,2,19,25,33,3915,1,14,17,25,16,13,3,1923,28,17,3,10,115,29,35,10,1,4,7,1335,10,14,17,40,3,29,2,11,28,10,17,27,2,13,251,28,35,19,5,23,14,35,17,29,28,19,3017,14,3,32,4,51,17,15,25,24,10,35,28,191,24,4,10,29,37,2510,28,1,25,37,29,35,217,3,24,26,5,16,25,217,4,14,28,1,29,25,3,51,19,24,26,2,5,28,2935,1,3,28,25,13,5,226,35,1,24,32,4010,32,1,37,28,39435,30,31,8,28,29,40,135,31,40,2,28,29,4,33,1,4,19,17,3517,35,3,28,14,4,13,4,19,17,35,117,40,35,10,31,14,4,735,30,14,7,15,1714,35,17,2,4,7,313,14,15,7,17,3,304,3,31,25,17,147,17,2,22,28,1335,3,29,2,31,7,1935,10,1,3,2,25,4,53,14,4,13,18,31,910,17,35,3,28,4,1235,19,24,28,21,30,1335,3,30,31,12,14,4,1317,19,35,12,13,8,3,3135,17,3,14,5,7,3014,40,3,35,15,17,3035,3,15,17,4,14,37,3935,36,10,24,32,3,15,1735,24,28,3,25,1,143,35,28,30,15,24,1928,24,35,12,10,3,4,1714,5,30,28,29,10,17,37,181,17,28,3,6,19,14,428,24,13,3,26,14,15,1714,1,3,35,17,311,3,21,18,13,14,2,435,17,11,5,18,12,31,21,19,35,15,17,31,24,141,7,17,3,31,3510,25,26,2,12,3735,17,31,29,28,12,403,10,17,1,37,35,1617,7,3,28,13,2417,14,30,35,31,39,7,243,17,32,7,35,221,18,9,16,35,40,3917,3,15,13,4,31,1030,32,10,3,2,29,28,2410,24,15,13,35,37,16,173,14,7,30,37,35,1628,2,5,26,35,1325,10,37,24,28,328,32,26,3,25,228,10,26,32,3,30,24531,17,3,4,1,18,40,14,3017,15,3,31,2,4,29,114,15,4,18,1,17,30,1314,17,15,4,135,3,15,14,1,4,35,1317,1,4,3,24,5,214,17,7,4,13,1,31,3,1814,17,7,13,4,31,3,1,1835,4,14,17,15,34,29,13,131,30,3,13,6,29,1,5,1917,15,14,32,1,33,19,18,1,6,5,21,3,19,2,6,514,3,34,29,28,30,133,2,35,19,30,17,119,3,17,1,36,4,32,5,383,17,19,36,5,1,3819,40,18,1,30,10,3215,30,10,40,28,36,1,2,133,15,40,14,5,1,4,35,112,11,13,35,1,39,24,40,263,15,19,36,1,24,32,31,1619,13,15,32,30,1,353,17,1,15,19,3,242,17,35,3,10,24,28,36,342,26,35,39,4,2417,15,30,2,1,26,24,28,193,2,17,24,26,30,13,143,35,1,14,25,31,92,19,31,25,18,34,35,36,3817,2,18,15,39,31,315,3,35,1,30,40,2,2528,3,17,10,23,15,4,215,17,25,13,1,16,1917,3,28,35,29,5,2,935,15,10,25,1,28,21,28,10,35,2,193,35,14,29,19,1,517,3,14,15,13,4,5,7,128,1,3,2,33,13,22,27,353,1,13,24,26,35,16,2035,2,13,25,14,32,1,514,28,1,5,30,23,3,210,2,26,17,15,19,34,3814,17,5,7,35,1,29,16,1035,3,5,25,1,282,,26,19,3,32,36,18,313,32,26,25,1,10,37614,31,17,19,4,13,3,1235,14,31,30,17,4,1817,19,3,13,1,1417,14,3,4,7,9,24,13,264,31,7,19,15,14,3,1317,35,3,14,4,1,28,1317,18,14,7,30,13,2614,28,26,13,4,35,1717,5,4,7,28,26,1435,26,1,4,17,18,4026,17,2,13,30,35,7,2413,19,37,10,35,14,510,2,30,25,13,37,26,526,28,17,13,14,5,2,35,314,1,35,3,18,17,3635,19,13,28,135,40,17,13,2,2835,17,13,19,28,32,37,215,35,9,17,14,3,40,37,3640,2,17,35,3,14,8,3635,24,29,10,14,38,235,24,39,32,3,36,41,40,24,35,17,3,3228,3,13,12,1,14,4,15,1917,14,12,10,18,39,13,3414,1,10,35,17,18,3,2517,12,30,35,7,28,262,16,7,17,32,3,2414,28,1,4,23,17,3135,31,17,1,7,1840,1,7,24,15,12,9,18,2815,4,28,29,32,35,37,324,2,17,5,15,3510,4,24,25,26,1635,40,4,5,25,28,7,321,16,32,17,1317,35,28,2,2435,7,14,3,32,2814,3,32,26,4,135,39,24,1,2,33,37,12,316,17,40,13,10,5,36,3235,2,29,36,18,32,24,2525,10,3,28,13,1510,17,7,15,25,291,26,28,18,36,13,1725,10,3,19,15,1332,35,18,2,30,24,2828,3,32,26,37,18731,35,40,2,30,29,26,1931,40,35,26,2,13,301,7,4,35,3,29,15,13,307,15,4,3,1,35,19,1017,4,7,1,31,5,24,36,3517,14,4,3,31,7,3535,3,28,1,7,15,1035,14,28,2,3,24,1315,1,14,19,29,14,38,2530,31,7,4,29,3610,2,28,7,32,3,15,264,36,35,31,6,1,30,28,530,31,1,35,4,28,38,529,4,28,1,35,38,3,13,1415,1,35,3,36,4,14,37,1935,13,19,38,33,25,1035,38,33,19,10,2535,19,6,10,13,24,18,31,135,9,3,40,1,10,36,3714,15,7,4,9,31,30,40,128,10,1,3,39,19,35,33,3010,39,18,31,34,1,2,3,2435,2,28,25,13,10,30,1928,10,13,25,34,2,5,35,135,10,34,2,36,39,31,5,1310,19,2,6,34,38,30,3128,15,4,38,7,3,19,13,928,3,2,10,22,35,26,3231,1,3,23,13,14,4,1,3535,30,24,1,31,382,30,40,36,25,22,3115,29,30,35,1,13,4,1913,15,6,10,33,1,3,2815,3,26,25,31,13,30,12,11,28,3,14,40,11,35,25,3310,3,30,25,29,28,3528,10,15,1,3,5,261,35,31,39,28,24,13,303,32,15,4,14,24,5,13,935,9,21,22,27,2,8,31,341,10,3,24,40,29,34,1325,28,3,16,2,30,23,1524,3,35,34,16,10,31,30,132,10,35,34,6,13,15,17,201,2,35,26,15,29,528,1,25,10,2,23,5,2426,24,5,4,29,35,2826,28,24,13,35,5831,30,40,35,3,2,4,1935,40,31,9,14,13,3,4,2614,30,15,3,4,35,2,1935,2,30,4,14,8,19,28,2615,14,4,30,13,3,7,2814,3,7,4,30,13,15,26,1714,35,3,13,28,2,30,735,3,2,28,31,1,14,47,35,2,30,31,1335,3,31,40,5,13,1710,7,24,28,3,26,235,19,1,38,15,34,2835,38,15,31,3,1,3435,40,2,38,2837,9,18,12,2,29,535,19,2,40,31,1335,2,40,36,13,1235,28,6,30,2,40,2435,28,24,40,2,1213,14,9,17,40,5,1240,35,31,34,30,2,5,283,26,4,35,15,6,1935,24,28,5,7,381,7,28,5,2,19,12,3735,10,39,40,24,34,1,1210,35,18,1,26,32,163,35,40,5,30,77,32,14,24,17,26,331,39,14,3,17,35,4,131,31,35,5,36,212,18,13,35,4,30,2,21,3131,28,6,29,2,13,3228,24,7,1,17,407,26,24,17,1,15,2840,28,35,2,1,13,12,3917,1,3,35,27,25,32,1328,1,17,6,13,10,75,40,12,7,31,24,3914,32,3,22,5,3039,24,19,27,22,40,2,435,30,13,10,1,24,3725,35,10,3,24,26,1,9,1610,1,13,24,25,1710,2,35,31,37,30,3,331,5,28,31,3,3528,37,2,12,10,3217,26,28,32,31,210,32,35,25,2,24,26929,30,3,10,40,8,31,3515,3,10,31,26,35,404,14,29,5,15,13,2,717,14,4,13,5,7,314,17,5,2,14,3217,14,5,28,2,32,414,4,15,3,7,29,5,1314,4,7,1,2,35,5,323,35,28,14,17,4,7,23,31,30,36,5,4,2217,7,3,32,24,114,28,25,30,26,31,93,30,28,35,13,5,2215,35,10,3,18,4,114,17,35,9,2,3,123,14,28,2,24,35,6,3435,14,15,31,3,7,24,14,6,2,30,1,3,14,73,14,9,15,2,4,3535,7,40,14,9,30,335,40,24,31,1,18,33,431,19,2,32,24,15,135,15,28,32,13,24,12,29,28,5,40,3,3129,35,30,3,5,24,210,28,5,34,24,17,264,14,15,3,5,31,2517,2,7,15,28,329,4,31,35,14,3,2835,1,17,7,19,241,35,30,31,22,13,5,1235,1,28,29,15,3,3128,3,31,10,2432,26,25,37,15,3,2940,3,35,10,2,1,1617,13,1,2,35,2228,5,9,26,1740,17,13,31,30,332,3,35,22,9,1735,24,2,33,39,40,1617,32,1,28,25,3530,32,40,22,2,25,351,29,32,2,25,3513,17,10,26,12,35,129,2,5,22,28,1628,37,24,7,31,2,2528,37,13,31,15,24,728,1,37,32,26,31035,40,6,18,9,2,31,1835,40,18,5,2,829,3,17,35,14,2,18,36,3135,31,3,17,14,2,4015,14,17,31,35,4,30,29,1817,31,4,18,14,2,402,15,28,18,38,2435,2,38,25,30,31,135,7,14,3,31,3835,3,31,1,10,17,28,3015,2,35,5,21,3,1335,40,34,10,3,7,18,1935,30,31,3,12,228,35,29,24,34,3,3835,14,40,3,12,13,519,3,34,35,16,13,2,1835,18,3,2,13,3135,19,18,3,12,5,240,9,35,14,17,3,13,4,3614,17,9,35,40,3,12,1335,24,9,40,15,17,235,31,1,17,3,14,3935,28,30,3,31,173,30,1,35,38,24,1824,4,10,34,3,12,6,173,25,19,1,16,38,1835,7,18,19,24,3815,28,35,24,7,3731,10,9,1,4,31,35,21,24,2235,40,3,12,10,19,36,39,251,15,17,29,24,335,2,24,13,21,303,10,25,35,7,2,3240,3,35,16,33,18,1025,10,2,32,17,428,30,10,31,40,3535,24,3,12,31,3930,17,28,14,32,535,3,31,33,24,29,23,1110,2,35,1,27,24,17,4,3930,3,33,25,28,13,3735,1,10,8,9,391,13,3,35,36,4,29,2813,1,10,27,6,3,1725,28,37,1,3,428,18,32,24,37,4,194,24,37,13,19,2,281128,17,13,7,1,35,228,26,35,3,27,32,13,17,2,3,147,32,17,3,2,147,17,32,2,24,3,2832,2,3,24,17,287,19,26,3,32,24,28,226,32,3,2,24,287,17,3,32,26,28,1317,7,32,3,13,28,352,7,3,10,24,17,25,327,3,2,10,13,12,24,197,3,10,12,2,13,2410,7,13,37,3,28,12,526,17,12,1,287,10,3,12,2,6,2410,6,3,2,247,10,3,2,6,24,122,17,7,24,12,1,262,17,7,12,1,26,2424,37,3,10,2,13,252,13,10,19,1715,19,4,322,7,19,28,3,132,3,7,28,13,172,7,3,19,13,28,172,10,3,6,28,1315,19,7,32,4,37,13,4,2,9,37,1028,2,10,5,32,10,13,17,31,28,323,24,4,1,29,25,316,25,10,24,1325,10,17,6,19,1310,24,13,25,3125,1,24,13,177,10,17,24,3,192,37,10,13,1,24,197,3,32,19,25,171,11,28,15,2,27,13,3125,13,10,1,7,2,3313,3,10,37,225,1,6,13,262,25,19,3,10,13,3710,25,5,13,3,2,4025,40,10,3,7,2,4,53,4,37,25,40,237,3,17,28,24,4,131215,19,5,8,31,34,3535,3,31,34,8,4,217,8,19,9,35,2,12,243,17,12,9,35,2,19,1317,19,7,8,9,24,133,17,9,24,12,19,1319,10,30,7,14,2,1310,30,35,12,13,4,2,317,14,28,10,1,26,253,40,17,35,6,10,137,2,32,3,24,10,253,10,35,19,28,2,13,2410,2,24,20,13,4,17,63,35,5,13,17,4,37,919,2,16,13,15,12,918,28,35,6,15,1235,6,18,28,19,1219,18,35,10,38,13,1212,19,40,3,17,14,4,1235,3,17,14,12,27,4,1935,24,40,13,3,33,12,1919,35,13,3,36,17,3935,19,24,4,13,2,713,1,19,12,3,29,28,1518,13,14,28,3,34,10,3828,3,19,10,24,5,1610,24,35,23,5,310,24,25,3,7,517,7,18,9,3,16,241,4,14,18,3,740,3,37,6,11,30,4,39,147,13,30,35,1,17,4,4028,35,24,3,7,11,33,1310,25,24,12,1,26,3735,12,13,40,3,13,10,17,19,7,34,1328,2,10,26,1310,37,3,24,19,1235,2,7,3,24,3021,28,15,24,33,10,30,3935,4,10,3,2,5,403,16,40,10,37,12,2510,30,17,6,24,31,1,1310,35,19,3,14,17,15,405,15,10,4,2,28,29,255,28,26,20,37,410,37,4,32,19,35,39,283,17,24,10,261335,31,8,19,4,15,3435,6,2,31,19,3,3417,40,19,2,35,3,840,35,1,9,17,2,133,35,18,19,14,235,17,3,30,7,1435,19,18,3,13,17,435,40,31,3,34,38,19,1317,3,40,14,33,13,10,735,31,3,40,17,13,624,7,10,25,3,2,3235,24,28,4,3,25,29,3435,3,10,2,40,24,1,435,28,29,3,4,14,1317,40,35,9,7,513,25,40,24,3,27,3535,40,13,2,19,7,2,3035,2,13,16,4017,4,40,12,14,1335,3,9,17,14,4,19,275,35,39,3,12,24,3119,24,35,40,36,15,1635,40,24,2,19,7,133,19,12,15,13,135,10,17,4,7,18,16,43,24,10,14,5,28,1610,12,35,40,34,24,1910,7,2,24,25,19,3531,35,24,14,5,301,3,14,18,4,17,735,14,40,3,39,13,3313,5,4,17,2,35,4010,24,17,28,11,325,1,3,10,37,13,2435,3,9,40,13,30,363,10,19,1,28,1328,26,10,2,2410,37,24,3,1235,2,3,24,301,35,33,39,40,24,10,1735,10,40,5,13,240,37,25,3,16,131,17,13,24,6,3110,40,38,16,3,20,355,10,2,25,4,17,1428,37,4,20,5,632,35,25,6,4,37,39,2810,26,24,37,4,31413,14,8,28,1,17,2,381,13,2,10,35,313,17,28,2,29,14,117,15,30,2,14,117,14,4,1,29,30,3,5,3414,5,3,17,1,4,1328,2,7,34,35,5,14,428,5,2,35,7,9,1,1817,7,15,18,35,3,4,22,35,19,5,10,38,97,2,10,5,37,28,335,40,19,3,5,133,13,35,5,2,2428,35,13,3,10,2,19,2419,13,15,28,29,3,18,5,1735,28,38,19,12,1535,19,28,12,3819,35,13,36,2,28,3828,14,6,40,38,18,12,3528,8,3,14,5,40,2628,2,3,5,33,1828,36,31,3,40,2,3019,35,13,10,24,32,2635,13,10,24,19,3,4,1,2028,35,13,10,1,3,3813,5,10,3,1,25,1919,1,35,14,20,5,1310,7,6,24,26,37,33,14,28,9,5,17,2419,18,1,24,3,3535,21,2,24,33,28,11,16,3415,10,28,26,1,30,357,19,6,24,3,228,37,13,25,32,15,1735,28,23,24,2,11,4028,2,34,13,23,27,128,24,10,2,19,3231,35,11,13,3,7,4014,3,32,22,17,428,35,19,4,11,22,18,2135,13,28,1,8,29,1728,10,25,12,16,35,2410,28,2,13,17,242,3,28,10,13,35,245,28,4,10,13,34,40,3025,10,19,1,4,133,26,24,16,28,34,2728,25,24,32,1,13,17,26158,1,9,13,37,28,31,35,189,13,28,1,35,40,1817,35,9,3,14,19,28,36,2935,28,17,9,40,10,3715,17,10,14,19,3,29,39,401,3,17,40,37,18,9,3512,15,9,35,37,14,41,18,37,35,3,2,10,3635,10,3,40,31,34,4,1414,18,29,28,35,3,1,8,3613,17,37,3,119,10,2,12,282,10,13,3,12,19,2613,15,9,28,12,235,3,13,10,17,19,2819,17,35,10,2,8,3,241,35,10,19,8,17,3719,35,37,17,1,28,1821,18,9,40,12,2,24,17,335,14,9,3,17,5,27,735,10,24,21,1,13,12,3735,36,21,10,24,3113,2,19,35,24,5,319,35,6,13,34,153,35,40,12,17,5,2810,3,23,37,25,519,15,2,5,14,35,3437,32,7,24,1,13,1013,9,24,12,10,5,7,1415,2,35,5,21,3,133,13,24,14,17,29,23,40,1215,17,3,19,29,35,4,18,2428,5,6,25,241,28,25,4,3,19,29,17,1014,35,1,13,24,3,4015,17,1,13,210,28,3,13,15,12,12,31,39,11,17,2414,3,7,12,35,31,3010,35,40,22,17,15,33,21,3915,18,35,6,37,16,1028,29,5,37,36,12,13,17,252,10,35,13,2535,28,3,10,37,25,55,10,35,4,28,18,14,2637,10,28,25,3,13,237,10,19,3,28,29,3624,37,32,3,28,101628,35,19,12,31,18,528,35,5,12,18,31,1328,12,15,35,17,1935,2,19,15,2815,19,4,3,25,1435,2,17,14,15,313,35,18,29,2,17,253,25,34,38,35,7,229,2,3,12,19,15,2835,2,34,19,18,16,38,307,2,25,24,3,3718,28,35,6,15,12,1028,2,35,13,6,12,10,1935,28,13,19,5,821,2,19,35,26,16,18,24,335,19,28,3,2,10,24,1315,28,13,2,3519,6,34,37,18,7,1514,25,15,17,28,37,7,3,1919,35,5,9,29,28,1213,19,24,17,5,39,3524,19,36,2,3,14,435,19,24,5,14,3,252,13,28,12,10,15,3,628,35,5,3,18,2410,18,28,5,35,38,2019,15,12,28,24,21,34,1313,24,7,22,37,217,14,4,7,5,9,311,24,19,21,4,15,235,2,11,16,6,39,25,324,15,13,29,28,17,30,710,24,28,1,1328,3,35,1,26,1913,21,10,35,15,281,17,28,10,15,1310,28,5,24,1312,39,35,31,30,11,2417,7,4,3,322,10,3,22,37,34,9,728,5,30,10,40,26,8,210,25,12,24,26,32,10,13,5,17,15,3,3235,28,24,25,12,10,15,2,28,27,12,133,5,25,10,37,13,110,37,3,25,13,737,3,5,28,8,30,321735,28,13,8,3,1919,13,35,9,28,617,4,12,3,24,144,17,9,19,3,163,4,13,5,12,244,17,3,14,16,192,35,13,19,13,18,28,435,39,19,2,18,28,4,97,35,24,30,13,5,10,3635,31,3,24,28,13,4,92,19,17,20,740,35,3,19,4,28,2440,35,3,17,28,26,241,3,28,19,13,259,36,37,35,5,172,19,3,13,535,3,19,2,13,1,10,282,5,19,13,3517,9,4,19,35,40,1435,40,14,3,2,13,1735,4,24,40,17,14,18,13,2,35,19,21,3619,35,2,32,5,242,19,15,13,12,28,2531,28,,18,12,4,9,344,10,40,7,9,1735,31,1,4,24,34,362,10,7,13,331,14,25,17,3,4,121,35,24,3,1,18,1319,3,15,18,4,24,28,1235,15,13,17,124,3,35,12,33,13,2813,15,24,10,11,335,10,13,25,3,2,3635,17,1,27,328,10,23,2,13,3024,3,16,30,26,39,2517,4,3,7,32,302,9,3,37,19,7,37,4,364,8,1,10,237,10,3,2,13,1710,2,8,34,351,10,6,35,34,735,28,4,3,13,16,342,25,18,10,30,2828,19,35,25,4,1728,37,4,18,24188,38,2,25,31,19,28,3519,2,35,31,26,28,29,17,271,17,35,10,37,36,28,30,2917,14,1,35,4,10,28,29,3019,38,35,2,25,3,15,417,19,38,13,3,15,25,32,219,38,2,35,25,6,15,4,1419,35,25,36,6,30,15,3,1429,14,15,1,35,40,4,3,3635,19,38,4,3,40,18,24,3010,28,19,12,24,3719,35,10,38,4,28,1,2138,35,10,4,28,19,1615,2,19,35,3,14,24,1,132,19,15,35,36,1,3,13,1419,6,37,36,15,