题目描述

<w:WordDocument>

<w:View>Normal</w:View>

<w:Zoom>0</w:Zoom>

<w:PunctuationKerning />

<w:DrawingGridVerticalSpacing>7.8 磅</w:DrawingGridVerticalSpacing>

<w:DisplayHorizontalDrawingGridEvery>0</w:DisplayHorizontalDrawingGridEvery>

<w:DisplayVerticalDrawingGridEvery>2</w:DisplayVerticalDrawingGridEvery>

<w:ValidateAgainstSchemas />

<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>

<w:IgnoreMixedContent>false</w:IgnoreMixedContent>

<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>

<w:Compatibility>

<w:SpaceForUL />

<w:BalanceSingleByteDoubleByteWidth />

<w:DoNotLeaveBackslashAlone />

<w:ULTrailSpace />

<w:DoNotExpandShiftReturn />

<w:AdjustLineHeightInTable />

<w:BreakWrappedTables />

<w:SnapToGridInCell />

<w:WrapTextWithPunct />

<w:UseAsianBreakRules />

<w:DontGrowAutofit />

<w:UseFELayout />

</w:Compatibility>

<w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>

</w:WordDocument>

</xml><![endif]--><!--[if gte mso 9]><xml>

<w:LatentStyles DefLockedState="false" LatentStyleCount="156">

</w:LatentStyles>

</xml><![endif]--><!--[if !mso]><object

classid="clsid:38481807-CA0E-42D2-BF39-B33AF135CC4D" id=ieooui></object>

<style> st1\:*{behavior:url(#ieooui) } </style>

<![endif]--><!--[if gte mso 10]>

<style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:普通表格; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman"; mso-ansi-language:#0400; mso-fareast-language:#0400; mso-bidi-language:#0400;} </style>

<![endif]-->

对于给出的n个询问，每次求有多少个数对(x,y)，满足a≤x≤b，c≤y≤d，且gcd(x,y) = k，gcd(x,y)函数为x和y的最大公约数。

输入格式

第一行一个整数n，接下来n行每行五个整数，分别表示a、b、c、d、k

 

输出格式

共n行，每行一个整数表示满足要求的数对(x,y)的个数

 

2
2 5 1 5 1
1 5 1 5 2

14
3

数据范围与约定

100%的数据满足：1≤n≤50000，1≤a≤b≤50000，1≤c≤d≤50000，1≤k≤50000