将一个正整数分解为m个2的n次方的和代码,MSSQL代码库,德仔网

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【MSSQL】将一个正整数分解为m个2的n次方的和
作者:maco_wang / 发布于2012/2/8/ 508
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<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">-- =============================================</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">-- Author:<span style="mso-tab-count: 2;">    </span><span style="mso-spacerun: yes;">  </span><maco_wang></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">-- Create date: <2011-01-21></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">-- Description: <</span><span style="color: green; font-family: 宋体; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes; mso-ascii-font-family: "Courier New"; mso-hansi-font-family: "Courier New"; mso-bidi-font-family: "Courier New";">将一个正整数分解为</span><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">m</span><span style="color: green; font-family: 宋体; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes; mso-ascii-font-family: "Courier New"; mso-hansi-font-family: "Courier New"; mso-bidi-font-family: "Courier New";">个</span><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">2</span><span style="color: green; font-family: 宋体; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes; mso-ascii-font-family: "Courier New"; mso-hansi-font-family: "Courier New"; mso-bidi-font-family: "Courier New";">的</span><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">n</span><span style="color: green; font-family: 宋体; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes; mso-ascii-font-family: "Courier New"; mso-hansi-font-family: "Courier New"; mso-bidi-font-family: "Courier New";">次方的和</span><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">-- =============================================</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">go</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">--</span><span style="color: green; font-family: 宋体; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes; mso-ascii-font-family: "Courier New"; mso-hansi-font-family: "Courier New"; mso-bidi-font-family: "Courier New";">创建函数</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">CREATE</span><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> <span style="color: blue;">function</span> GetSumSequence<span style="color: gray;">(</span>@num <span style="color: blue;">INT</span><span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">returns</span><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> <span style="color: blue;">nvarchar</span><span style="color: gray;">(</span>200<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">AS</span><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> </span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">    </span><span style="color: blue;">BEGIN</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">DECLARE</span> @numc <span style="color: blue;">INT</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">SET</span> @numc <span style="color: gray;">=</span> @num</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">DECLARE</span> @numstr <span style="color: blue;">VARCHAR</span><span style="color: gray;">(</span>50<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">      </span><span style="mso-spacerun: yes;">  </span><span style="color: blue;">SET</span> @numstr <span style="color: gray;">=</span> <span style="color: red;">''</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">WHILE</span> <span style="color: gray;">(</span> @num <span style="color: gray;"><></span> 0 <span style="color: gray;">)</span> </span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">            </span><span style="color: blue;">BEGIN</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">                </span><span style="color: blue;">SET</span> @numstr <span style="color: gray;">=</span> @numstr <span style="color: gray;">+</span> <span style="color: fuchsia;">CONVERT</span><span style="color: gray;">(</span><span style="color: blue;">CHAR</span><span style="color: gray;">(</span>1<span style="color: gray;">),</span> @num <span style="color: gray;">%</span> 2<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">                </span><span style="color: blue;">SET</span> @num <span style="color: gray;">=</span> @num <span style="color: gray;">/</span> 2</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">            </span><span style="color: blue;">END</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: green;">--SELECT REVERSE(@numstr)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">DECLARE</span> @i <span style="color: blue;">INT</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">SET</span> @i <span style="color: gray;">=</span> <span style="color: fuchsia;">LEN</span><span style="color: gray;">(</span>@numstr<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">DECLARE</span> @j <span style="color: blue;">VARCHAR</span><span style="color: gray;">(</span><span style="color: fuchsia;">MAX</span><span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">SET</span> @j <span style="color: gray;">=</span> <span style="color: red;">''</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">WHILE</span> <span style="color: gray;">(</span> @i <span style="color: gray;">></span> 0 <span style="color: gray;">)</span> </span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">            </span><span style="color: blue;">BEGIN</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">                </span><span style="color: blue;">IF</span> <span style="color: gray;">(</span> <span style="color: fuchsia;">SUBSTRING</span><span style="color: gray;">(</span><span style="color: fuchsia;">REVERSE</span><span style="color: gray;">(</span>@numstr<span style="color: gray;">),</span> <span style="color: fuchsia;">LEN</span><span style="color: gray;">(</span>@numstr<span style="color: gray;">)</span> <span style="color: gray;">-</span> @i <span style="color: gray;">+</span> 1<span style="color: gray;">,</span> 1<span style="color: gray;">)</span> <span style="color: gray;">=</span> <span style="color: red;">'1'</span> <span style="color: gray;">)</span> </span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">                    </span><span style="color: blue;">SELECT</span><span style="mso-spacerun: yes;">  </span>@j <span style="color: gray;">=</span> @j <span style="color: gray;">+</span> <span style="color: red;">'+2^'</span> <span style="color: gray;">+</span> <span style="color: fuchsia;">CAST</span> <span style="color: gray;">(</span>@i<span style="color: gray;">-</span>1 <span style="color: blue;">AS</span> <span style="color: blue;">VARCHAR</span><span style="color: gray;">(</span>10<span style="color: gray;">))</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">                </span><span style="color: blue;">SET</span> @i <span style="color: gray;">=</span> @i <span style="color: gray;">-</span> 1</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">            </span><span style="color: blue;">END</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">        </span><span style="color: blue;">return</span> <span style="color: gray;">(</span><span style="color: fuchsia;">CAST</span><span style="color: gray;">(</span>@numc <span style="color: blue;">AS</span> <span style="color: blue;">VARCHAR</span><span style="color: gray;">(</span>100<span style="color: gray;">))</span> <span style="color: gray;">+</span> <span style="color: red;">'='</span> <span style="color: gray;">+</span> <span style="color: fuchsia;">STUFF</span><span style="color: gray;">(</span>@j<span style="color: gray;">,</span> 1<span style="color: gray;">,</span> 1<span style="color: gray;">,</span> <span style="color: red;">''</span><span style="color: gray;">))</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"><span style="mso-spacerun: yes;">    </span><span style="color: blue;">END</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> </span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">go</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">--</span><span style="color: green; font-family: 宋体; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes; mso-ascii-font-family: "Courier New"; mso-hansi-font-family: "Courier New"; mso-bidi-font-family: "Courier New";">测试示例</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">select</span><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> dbo<span style="color: gray;">.</span>GetSumSequence<span style="color: gray;">(</span>12<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">select</span><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> dbo<span style="color: gray;">.</span>GetSumSequence<span style="color: gray;">(</span>65<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">select</span><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> dbo<span style="color: gray;">.</span>GetSumSequence<span style="color: gray;">(</span>892<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: blue; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">select</span><span lang="EN-US" style="font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> dbo<span style="color: gray;">.</span>GetSumSequence<span style="color: gray;">(</span>1919191<span style="color: gray;">)</span></span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: gray; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;"> </span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">--</span><span style="color: green; font-family: 宋体; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes; mso-ascii-font-family: "Courier New"; mso-hansi-font-family: "Courier New"; mso-bidi-font-family: "Courier New";">运行结果</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">/*</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">12=2^3+2^2</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">65=2^6+2^0</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">892=2^9+2^8+2^6+2^5+2^4+2^3+2^2</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">1919191=2^20+2^19+2^18+2^16+2^14+2^11+2^7+2^6+2^4+2^2+2^1+2^0</span>
<p align="left" class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: left; mso-layout-grid-align: none;"><span lang="EN-US" style="color: green; font-family: "Courier New"; font-size: 10pt; mso-font-kerning: 0pt; mso-no-proof: yes;">*/</span>
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