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1

直线分平面

📝 题解 🔵 仅限 C++
题目描述
<p><span style="font-size: small"><span style="font-family: 宋体; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'">清清上初中时总是喜欢研究一些有趣的数学问题。最近,清清看到了一道数学题:若干条直线最多能把平面划分成几个部分呢?清清觉得这种简单的题目就交给师弟师妹解决吧。</span></span></p>
输入格式
<p><span style="font-size: small"><span style="font-family: 宋体; color: black; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'">输入包含多组测试用例,每组输入数据只有一行数字</span><span style="font-family: 宋体; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-ascii-font-family: 寰蒋闆呴粦; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-bidi-font-weight: bold">,包括一个数字</span><font face="宋体"><span style="font-family: 宋体; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-ascii-font-family: 寰蒋闆呴粦; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-bidi-font-weight: bold">(</span><span lang="EN-US" style="font-family: 寰蒋闆呴粦; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-bidi-font-weight: bold">0&lt;P&lt;1000</span><span style="font-family: 宋体; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-ascii-font-family: 寰蒋闆呴粦; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-bidi-font-weight: bold">),输入以</span><span lang="EN-US" style="font-family: 寰蒋闆呴粦; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-bidi-font-weight: bold">EOF</span><span style="font-family: 宋体; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-ascii-font-family: 寰蒋闆呴粦; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-bidi-font-weight: bold">结束。</span></font></span></p>
输出格式
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="font-size: small"><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">在一行中输出平面能被</span><span lang="EN-US"><font face="Times New Roman">P</font></span><span style="font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">条直线所分的的部分的最大数目</span></span><span lang="EN-US"><o:p></o:p></span></p>
样例
样例输入 1
1 3 4
样例输出 1
2 7 11
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