{"id":88433,"date":"2026-08-01T07:48:47","date_gmt":"2026-07-31T23:48:47","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/88433.html"},"modified":"2026-08-01T07:48:47","modified_gmt":"2026-07-31T23:48:47","slug":"uva-10614-dreadful-vectors","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/88433.html","title":{"rendered":"UVa 10614 Dreadful Vectors"},"content":{"rendered":"<h3>\u9898\u76ee\u63cf\u8ff0<\/h3>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Tanzir\\\\texttt{Tanzir}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6111em\"><\/span><span class=\"mord text\"><span class=\"mord texttt\">Tanzir<\/span><\/span><\/span><\/span><\/span><\/span> \u548c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Taufiq\\\\texttt{Taufiq}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.2222em\"><\/span><span class=\"mord text\"><span class=\"mord texttt\">Taufiq<\/span><\/span><\/span><\/span><\/span><\/span> \u8bbe\u8ba1\u4e86\u4e00\u4e2a\u5411\u91cf\u8ba1\u7b97\u7535\u8def&#xff0c;\u4f46\u7535\u8def\u5bf9\u975e\u6cd5\u8f93\u5165\u5341\u5206\u654f\u611f&#xff0c;\u66fe\u7ecf\u56e0\u4e3a\u4e00\u4e2a\u9519\u8bef\u7684\u8f93\u5165\u5b57\u7b26\u4e32\u5bfc\u81f4\u6574\u4e2a\u5b9e\u9a8c\u5ba4\u7206\u70b8\u3002\u73b0\u5728\u4ed6\u4eec\u9700\u8981\u4e00\u4e2a\u7a0b\u5e8f\u6765\u9884\u6d4b\u8f93\u5165\u5b57\u7b26\u4e32\u7684\u8ba1\u7b97\u7ed3\u679c&#xff0c;\u907f\u514d\u518d\u6b21\u53d1\u751f\u707e\u96be\u3002<\/p>\n<p>\u5728\u672c\u9898\u4e2d&#xff0c;\u6807\u91cf\u5b9a\u4e49\u4e3a\u6574\u6570&#xff0c;\u5411\u91cf\u5b9a\u4e49\u4e3a\u4e09\u4e2a\u6807\u91cf\u8868\u8fbe\u5f0f\u7ec4\u6210\u7684\u5143\u7ec4&#xff0c;\u7528\u65b9\u62ec\u53f7 [ \u548c ] \u62ec\u8d77&#xff0c;\u5143\u7d20\u4e4b\u95f4\u7528\u9017\u53f7 , \u5206\u9694\u3002\u8868\u8fbe\u5f0f\u652f\u6301\u4ee5\u4e0b\u8fd0\u7b97&#xff1a;<\/p>\n<ul>\n<li>\u52a0\u6cd5 &#043; \u548c\u51cf\u6cd5 -&#xff1a;\u8981\u6c42\u4e24\u4e2a\u64cd\u4f5c\u6570\u540c\u4e3a\u6807\u91cf\u6216\u540c\u4e3a\u5411\u91cf&#xff0c;\u7ed3\u679c\u7c7b\u578b\u4e0e\u64cd\u4f5c\u6570\u76f8\u540c\u3002<\/li>\n<li>\u4e58\u6cd5 *&#xff1a;\u5141\u8bb8\u4efb\u610f\u6df7\u5408\u3002\u5f53\u4e24\u4e2a\u64cd\u4f5c\u6570\u90fd\u662f\u5411\u91cf\u65f6&#xff0c;\u8868\u793a\u70b9\u79ef&#xff08;\u7ed3\u679c\u4e3a\u6807\u91cf&#xff09;&#xff1b;\u5426\u5219\u8868\u793a\u6807\u91cf\u4e58\u6cd5&#xff08;\u6807\u91cf\u4e58\u5411\u91cf\u5f97\u5411\u91cf&#xff0c;\u6807\u91cf\u4e58\u6807\u91cf\u5f97\u6807\u91cf&#xff09;\u3002<\/li>\n<li>\u53c9\u79ef x&#xff1a;\u4ec5\u9650\u4e24\u4e2a\u5411\u91cf\u4e4b\u95f4\u8fd0\u7b97&#xff0c;\u7ed3\u679c\u4e3a\u5411\u91cf\u3002<\/li>\n<\/ul>\n<p>\u8fd0\u7b97\u4f18\u5148\u7ea7\u9075\u5faa\u5e38\u89c4\u4ee3\u6570\u89c4\u5219&#xff1a;\u62ec\u53f7\u4f18\u5148\u7ea7\u6700\u9ad8&#xff1b;\u4e58\u6cd5\u548c\u53c9\u79ef\u4f18\u5148\u7ea7\u76f8\u540c\u4e14\u9ad8\u4e8e\u52a0\u51cf\u6cd5&#xff1b;\u540c\u4f18\u5148\u7ea7\u8fd0\u7b97\u4ece\u5de6\u5230\u53f3\u7ed3\u5408\u3002<\/p>\n<h3>\u8f93\u5165\u683c\u5f0f<\/h3>\n<p>\u8f93\u5165\u5305\u542b\u82e5\u5e72\u884c&#xff0c;\u6bcf\u884c\u4e00\u4e2a\u8868\u8fbe\u5f0f\u5b57\u7b26\u4e32&#xff0c;\u957f\u5ea6\u4e0d\u8d85\u8fc7 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">100100<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">100<\/span><\/span><\/span><\/span><\/span>\u3002\u5b57\u7b26\u4e32\u53ef\u5305\u542b\u7a7a\u683c\u3001\u6570\u5b57\u3001\u8fd0\u7b97\u7b26 &#043;\u3001-\u3001*\u3001x\u3001\u5206\u9694\u7b26 ,\u3001\u62ec\u53f7 (\u3001)\u3001\u65b9\u62ec\u53f7 [\u3001]\u3002\u6240\u6709\u5176\u4ed6\u5b57\u7b26\u5747\u4e3a\u975e\u6cd5\u3002<\/p>\n<p>\u6574\u6570\u5747\u4e3a\u975e\u8d1f\u6574\u6570&#xff0c;\u4f46\u4e2d\u95f4\u7ed3\u679c\u548c\u6700\u7ec8\u7ed3\u679c\u53ef\u80fd\u4e3a\u8d1f\u3002\u6240\u6709\u6807\u91cf\u503c\u7684\u7edd\u5bf9\u503c\u5c0f\u4e8e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">2312^{31}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">31<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u8f93\u5165\u4ee5\u5355\u72ec\u4e00\u884c # \u7ed3\u675f\u3002<\/p>\n<h3>\u8f93\u51fa\u683c\u5f0f<\/h3>\n<p>\u5bf9\u4e8e\u6bcf\u4e2a\u8868\u8fbe\u5f0f&#xff0c;\u82e5\u65e0\u9519\u8bef&#xff0c;\u8f93\u51fa\u8ba1\u7b97\u7ed3\u679c&#xff1a;<\/p>\n<ul>\n<li>\u82e5\u7ed3\u679c\u4e3a\u6807\u91cf&#xff0c;\u76f4\u63a5\u8f93\u51fa\u6574\u6570\u3002<\/li>\n<li>\u82e5\u7ed3\u679c\u4e3a\u5411\u91cf&#xff0c;\u8f93\u51fa [x,y,z] \u5f62\u5f0f&#xff08;\u4e0d\u542b\u7a7a\u683c&#xff09;\u3002<\/li>\n<\/ul>\n<p>\u82e5\u6709\u4efb\u4f55\u9519\u8bef&#xff08;\u975e\u6cd5\u5b57\u7b26\u3001\u8bed\u6cd5\u9519\u8bef\u3001\u7c7b\u578b\u4e0d\u5339\u914d\u3001\u6570\u5b57\u4e2d\u95f4\u6709\u7a7a\u683c\u7b49&#xff09;&#xff0c;\u8f93\u51fa Bang!\u3002<\/p>\n<h3>\u6837\u4f8b<\/h3>\n<p>\u8f93\u5165<\/p>\n<p>[1,2,3] &#043; [4,5,6]<br \/>\n[1,2,3] * ( [4,15,6] * (2- 1*1) )<br \/>\n1,2,3] x [4,5,6] x 2<br \/>\n[1,2,3,4&#043;5]<br \/>\n#<\/p>\n<p>\u8f93\u51fa<\/p>\n<p>[5,7,9]<br \/>\n52<br \/>\nBang!<br \/>\nBang!<\/p>\n<h3>\u9898\u76ee\u5206\u6790<\/h3>\n<p>\u672c\u9898\u7684\u6838\u5fc3\u662f\u5b9e\u73b0\u4e00\u4e2a\u8868\u8fbe\u5f0f\u6c42\u503c\u5668&#xff0c;\u652f\u6301\u6807\u91cf\u548c\u5411\u91cf\u7684\u6df7\u5408\u8fd0\u7b97&#xff0c;\u5e76\u5904\u7406\u5404\u79cd\u53ef\u80fd\u7684\u9519\u8bef\u8f93\u5165\u3002<\/p>\n<h4>\u96be\u70b9\u4e00&#xff1a;\u8bcd\u6cd5\u5206\u6790\u7684\u590d\u6742\u6027<\/h4>\n<p>\u8f93\u5165\u5b57\u7b26\u4e32\u53ef\u80fd\u5305\u542b\u7a7a\u683c&#xff0c;\u7a7a\u683c\u7684\u4f4d\u7f6e\u5f71\u54cd\u5408\u6cd5\u6027\u3002\u5c24\u5176\u662f\u6570\u5b57\u4e2d\u95f4\u7684\u7a7a\u683c\u5c5e\u4e8e\u975e\u6cd5&#xff08;\u5982 12 34&#xff09;&#xff0c;\u800c\u6570\u5b57\u524d\u540e\u7684\u7a7a\u683c\u662f\u5141\u8bb8\u7684\u3002\u8fd9\u8981\u6c42\u6211\u4eec\u5728\u89e3\u6790\u6570\u5b57\u65f6&#xff0c;\u5fc5\u987b\u68c0\u67e5\u6570\u5b57\u5b57\u7b26\u4e32\u5185\u90e8\u662f\u5426\u542b\u6709\u7a7a\u683c\u3002<\/p>\n<h4>\u96be\u70b9\u4e8c&#xff1a;\u7c7b\u578b\u7cfb\u7edf\u7684\u52a8\u6001\u5224\u65ad<\/h4>\n<p>\u8868\u8fbe\u5f0f\u7684\u7c7b\u578b&#xff08;\u6807\u91cf\u6216\u5411\u91cf&#xff09;\u5728\u8fd0\u884c\u65f6\u624d\u80fd\u786e\u5b9a\u3002\u6807\u91cf\u4e0e\u5411\u91cf\u4e4b\u95f4\u7684\u52a0\u6cd5\u3001\u51cf\u6cd5\u5c5e\u4e8e\u7c7b\u578b\u9519\u8bef&#xff0c;\u800c\u4e58\u6cd5\u5219\u5141\u8bb8\u6df7\u5408\u3002\u6211\u4eec\u9700\u8981\u5728\u6c42\u503c\u8fc7\u7a0b\u4e2d\u52a8\u6001\u7ef4\u62a4\u6bcf\u4e2a\u5b50\u8868\u8fbe\u5f0f\u7684\u7c7b\u578b\u3002<\/p>\n<h4>\u96be\u70b9\u4e09&#xff1a;\u8fd0\u7b97\u7b26\u4f18\u5148\u7ea7\u548c\u7ed3\u5408\u6027<\/h4>\n<p>\u8868\u8fbe\u5f0f\u5305\u542b\u56db\u79cd\u8fd0\u7b97\u7b26&#xff0c;\u4f18\u5148\u7ea7\u5206\u4e3a\u4e24\u7ea7&#xff1a;<\/p>\n<ul>\n<li>\u7b2c\u4e00\u7ea7&#xff1a;* \u548c x&#xff08;\u5de6\u7ed3\u5408&#xff09;<\/li>\n<li>\u7b2c\u4e8c\u7ea7&#xff1a;&#043; \u548c -&#xff08;\u5de6\u7ed3\u5408&#xff09;<\/li>\n<\/ul>\n<p>\u62ec\u53f7\u53ef\u4ee5\u6539\u53d8\u4f18\u5148\u7ea7\u3002\u8fd9\u8981\u6c42\u6211\u4eec\u5b9e\u73b0\u4e00\u4e2a\u80fd\u591f\u6b63\u786e\u5904\u7406\u4f18\u5148\u7ea7\u7684\u89e3\u6790\u5668\u3002<\/p>\n<h3>\u89e3\u9898\u601d\u8def<\/h3>\n<h4>\u6574\u4f53\u6846\u67b6&#xff1a;\u9012\u5f52\u4e0b\u964d\u89e3\u6790<\/h4>\n<p>\u91c7\u7528\u9012\u5f52\u4e0b\u964d\u89e3\u6790\u65b9\u6cd5&#xff0c;\u6309\u7167\u4f18\u5148\u7ea7\u6784\u5efa\u8bed\u6cd5\u6811\u3002\u6bcf\u4e2a\u89e3\u6790\u51fd\u6570\u5bf9\u5e94\u4e00\u4e2a\u4f18\u5148\u7ea7\u5c42\u6b21&#xff0c;\u901a\u8fc7\u4e92\u76f8\u8c03\u7528\u6765\u5b9e\u73b0\u4f18\u5148\u7ea7\u89c4\u5219\u3002<\/p>\n<p>\u5b9a\u4e49\u4e09\u4e2a\u6838\u5fc3\u89e3\u6790\u51fd\u6570&#xff1a;<\/p>\n<ul>\n<li>parseAddExpr()&#xff1a;\u5904\u7406\u52a0\u51cf\u6cd5&#xff08;\u6700\u4f4e\u4f18\u5148\u7ea7&#xff09;<\/li>\n<li>parseMulExpr()&#xff1a;\u5904\u7406\u4e58\u6cd5\u548c\u53c9\u79ef&#xff08;\u4e2d\u95f4\u4f18\u5148\u7ea7&#xff09;<\/li>\n<li>parsePrimary()&#xff1a;\u5904\u7406\u539f\u5b50\u8868\u8fbe\u5f0f&#xff08;\u6700\u9ad8\u4f18\u5148\u7ea7&#xff09;&#xff0c;\u5305\u62ec\u6570\u5b57\u3001\u5411\u91cf\u3001\u62ec\u53f7\u8868\u8fbe\u5f0f<\/li>\n<\/ul>\n<h4>\u7a7a\u683c\u5904\u7406\u7b56\u7565<\/h4>\n<p>\u4e3a\u4e86\u907f\u514d\u7a7a\u683c\u5e72\u6270\u89e3\u6790&#xff0c;\u8bbe\u8ba1\u7edf\u4e00\u7684\u7a7a\u683c\u8df3\u8fc7\u673a\u5236&#xff1a;<\/p>\n<ul>\n<li>skipSpaces()&#xff1a;\u4ece\u5f53\u524d\u4f4d\u7f6e\u5f00\u59cb&#xff0c;\u8df3\u8fc7\u6240\u6709\u8fde\u7eed\u7a7a\u683c\u3002<\/li>\n<li>peek()&#xff1a;\u8df3\u8fc7\u524d\u5bfc\u7a7a\u683c\u540e\u8fd4\u56de\u5f53\u524d\u5b57\u7b26\u3002<\/li>\n<li>get()&#xff1a;\u8df3\u8fc7\u524d\u5bfc\u7a7a\u683c\u540e\u8fd4\u56de\u5f53\u524d\u5b57\u7b26&#xff0c;\u5e76\u5c06\u4f4d\u7f6e\u6307\u9488\u540e\u79fb\u3002<\/li>\n<\/ul>\n<p>\u6240\u6709\u89e3\u6790\u51fd\u6570\u5728\u8bfb\u53d6\u5b57\u7b26\u524d\u90fd\u901a\u8fc7 peek() \u6216 get() \u8df3\u8fc7\u7a7a\u683c&#xff0c;\u8fd9\u6837\u6570\u5b57\u524d\u540e\u7684\u7a7a\u683c\u88ab\u81ea\u52a8\u5ffd\u7565\u3002<\/p>\n<h4>\u6570\u5b57\u89e3\u6790\u4e0e\u7a7a\u683c\u68c0\u6d4b<\/h4>\n<p>\u6570\u5b57\u89e3\u6790\u9700\u8981\u989d\u5916\u5904\u7406\u6570\u5b57\u5185\u90e8\u7a7a\u683c\u7684\u68c0\u6d4b&#xff1a;<\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">parseNumber<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span><span class=\"token function\">isDigit<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> errorFlag <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> num <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">isDigit<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        num <span class=\"token operator\">&#061;<\/span> num <span class=\"token operator\">*<\/span> <span class=\"token number\">10<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token char\">&#039;0&#039;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> num<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u7531\u4e8e peek() \u548c get() \u4f1a\u8df3\u8fc7\u7a7a\u683c&#xff0c;\u6570\u5b57\u5185\u90e8\u7684\u7a7a\u683c\u5b9e\u9645\u4e0a\u4f1a\u5bfc\u81f4\u89e3\u6790\u63d0\u524d\u7ec8\u6b62&#xff0c;\u4ece\u800c\u88ab\u540e\u7eed\u7684\u8bed\u6cd5\u68c0\u67e5\u6355\u83b7\u3002\u4f46\u4e3a\u4e86\u66f4\u65e9\u5730\u68c0\u6d4b\u5e76\u62a5\u544a\u9519\u8bef&#xff0c;\u53ef\u4ee5\u5728\u89e3\u6790\u524d\u8fdb\u884c\u4e00\u6b21\u9884\u626b\u63cf&#xff1a;<\/p>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">hasSpaceInNumber<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> string<span class=\"token operator\">&amp;<\/span> s<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">isdigit<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>j <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token function\">isdigit<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>k <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> s<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039; &#039;<\/span><span class=\"token punctuation\">)<\/span> k<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>k <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token function\">isdigit<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            i <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u8be5\u51fd\u6570\u68c0\u6d4b &#034;12 34&#034; \u8fd9\u79cd\u6a21\u5f0f&#xff1a;\u4e00\u4e2a\u6570\u5b57\u7ed3\u675f\u540e\u6709\u7a7a\u683c&#xff0c;\u4e14\u7a7a\u683c\u540e\u9762\u7d27\u8ddf\u7740\u53e6\u4e00\u4e2a\u6570\u5b57\u3002<\/p>\n<h4>\u8868\u8fbe\u5f0f\u6c42\u503c\u673a\u5236<\/h4>\n<p>\u6bcf\u4e2a\u89e3\u6790\u51fd\u6570\u8fd4\u56de\u4e00\u4e2a Expr \u7ed3\u6784\u4f53&#xff0c;\u5305\u542b&#xff1a;<\/p>\n<ul>\n<li>isVec&#xff1a;\u6807\u8bc6\u8be5\u8868\u8fbe\u5f0f\u662f\u6807\u91cf&#xff08;false&#xff09;\u8fd8\u662f\u5411\u91cf&#xff08;true&#xff09;<\/li>\n<li>val&#xff1a;\u5f53\u4e3a\u6807\u91cf\u65f6\u5b58\u50a8\u6574\u6570\u503c<\/li>\n<li>vec&#xff1a;\u5f53\u4e3a\u5411\u91cf\u65f6\u5b58\u50a8\u4e09\u4e2a\u5206\u91cf<\/li>\n<\/ul>\n<p>\u8fd0\u7b97\u8fc7\u7a0b\u4e2d&#xff0c;\u6839\u636e\u64cd\u4f5c\u6570\u7684\u7c7b\u578b\u7ec4\u5408&#xff0c;\u6267\u884c\u5bf9\u5e94\u7684\u8fd0\u7b97&#xff0c;\u5e76\u66f4\u65b0\u7ed3\u679c\u7c7b\u578b\u3002<\/p>\n<p>\u4ee5\u4e58\u6cd5\u4e3a\u4f8b&#xff1a;<\/p>\n<ul>\n<li>\u6807\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u00d7\\\\times<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u00d7<\/span><\/span><\/span><\/span><\/span> \u6807\u91cf&#xff1a;\u7ed3\u679c\u4e3a\u6807\u91cf&#xff08;\u6574\u6570\u4e58\u6cd5&#xff09;<\/li>\n<li>\u6807\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u00d7\\\\times<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u00d7<\/span><\/span><\/span><\/span><\/span> \u5411\u91cf&#xff1a;\u7ed3\u679c\u4e3a\u5411\u91cf&#xff08;\u5404\u5206\u91cf\u4e58\u4ee5\u6807\u91cf&#xff09;<\/li>\n<li>\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u00d7\\\\times<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u00d7<\/span><\/span><\/span><\/span><\/span> \u6807\u91cf&#xff1a;\u540c\u6807\u91cf\u4e58\u5411\u91cf<\/li>\n<li>\u5411\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u00d7\\\\times<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">\u00d7<\/span><\/span><\/span><\/span><\/span> \u5411\u91cf&#xff1a;\u7ed3\u679c\u4e3a\u6807\u91cf&#xff08;\u70b9\u79ef&#xff09;<\/li>\n<\/ul>\n<p>\u53c9\u79ef\u5219\u8981\u6c42\u4e24\u4e2a\u64cd\u4f5c\u6570\u90fd\u662f\u5411\u91cf&#xff0c;\u7ed3\u679c\u4e3a\u5411\u91cf\u3002<\/p>\n<p>\u52a0\u51cf\u6cd5\u8981\u6c42\u4e24\u4e2a\u64cd\u4f5c\u6570\u7c7b\u578b\u76f8\u540c&#xff0c;\u7ed3\u679c\u7c7b\u578b\u4e0d\u53d8\u3002<\/p>\n<h4>\u9519\u8bef\u4f20\u64ad<\/h4>\n<p>\u4e00\u65e6\u68c0\u6d4b\u5230\u4efb\u4f55\u9519\u8bef&#xff08;\u975e\u6cd5\u5b57\u7b26\u3001\u6570\u5b57\u5185\u5d4c\u7a7a\u683c\u3001\u8bed\u6cd5\u9519\u8bef\u3001\u7c7b\u578b\u4e0d\u5339\u914d&#xff09;&#xff0c;\u8bbe\u7f6e errorFlag &#061; true&#xff0c;\u5e76\u5728\u6240\u6709\u540e\u7eed\u89e3\u6790\u51fd\u6570\u4e2d\u63d0\u524d\u8fd4\u56de&#xff0c;\u907f\u514d\u4ea7\u751f\u65e0\u6548\u7ed3\u679c\u3002<\/p>\n<p>\u6700\u7ec8\u68c0\u67e5\u8868\u8fbe\u5f0f\u662f\u5426\u88ab\u5b8c\u5168\u89e3\u6790&#xff08;\u5373\u6307\u9488\u5df2\u5230\u8fbe\u5b57\u7b26\u4e32\u672b\u5c3e&#xff09;&#xff0c;\u82e5\u6709\u5269\u4f59\u5b57\u7b26\u5219\u4e5f\u89c6\u4e3a\u9519\u8bef\u3002<\/p>\n<h4>\u590d\u6742\u5ea6\u5206\u6790<\/h4>\n<ul>\n<li>\u6bcf\u4e2a\u8868\u8fbe\u5f0f\u957f\u5ea6\u4e0d\u8d85\u8fc7 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">100100<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">100<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u89e3\u6790\u8fc7\u7a0b\u4e3a\u5355\u8d9f\u626b\u63cf&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(L)O(L)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">L<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">LL<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><\/span><\/span><\/span><\/span> \u4e3a\u8868\u8fbe\u5f0f\u957f\u5ea6\u3002<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(1)O(1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff08;\u4e0d\u8ba1\u8f93\u5165\u5b58\u50a8&#xff09;\u3002<\/li>\n<\/ul>\n<h3>\u4ee3\u7801\u5b9e\u73b0<\/h3>\n<p><span class=\"token comment\">\/\/ Dreadful Vectors<\/span><br \/>\n<span class=\"token comment\">\/\/ UVa ID: 10614<\/span><br \/>\n<span class=\"token comment\">\/\/ Verdict: Accepted<\/span><br \/>\n<span class=\"token comment\">\/\/ Submission Date: 2026-06-10<\/span><br \/>\n<span class=\"token comment\">\/\/ UVa Run Time: 0.000s<\/span><br \/>\n<span class=\"token comment\">\/\/<\/span><br \/>\n<span class=\"token comment\">\/\/ \u7248\u6743\u6240\u6709&#xff08;C&#xff09;2026&#xff0c;\u90b1\u79cb\u3002metaphysis # yeah dot net<\/span><\/p>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;bits\/stdc&#043;&#043;.h&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Vector<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">,<\/span> z<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">Vector<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> y <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> z <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">:<\/span> <span class=\"token function\">x<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">y<\/span><span class=\"token punctuation\">(<\/span>y<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">z<\/span><span class=\"token punctuation\">(<\/span>z<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n    Vector <span class=\"token keyword\">operator<\/span><span class=\"token operator\">&#043;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> Vector<span class=\"token operator\">&amp;<\/span> o<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Vector<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&#043;<\/span> o<span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">,<\/span> y <span class=\"token operator\">&#043;<\/span> o<span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">,<\/span> z <span class=\"token operator\">&#043;<\/span> o<span class=\"token punctuation\">.<\/span>z<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n    Vector <span class=\"token keyword\">operator<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> Vector<span class=\"token operator\">&amp;<\/span> o<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Vector<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">&#8211;<\/span> o<span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">,<\/span> y <span class=\"token operator\">&#8211;<\/span> o<span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">,<\/span> z <span class=\"token operator\">&#8211;<\/span> o<span class=\"token punctuation\">.<\/span>z<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> <span class=\"token keyword\">operator<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> Vector<span class=\"token operator\">&amp;<\/span> o<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> x <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>x <span class=\"token operator\">&#043;<\/span> y <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>y <span class=\"token operator\">&#043;<\/span> z <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>z<span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span>      <span class=\"token comment\">\/\/ \u70b9\u79ef<\/span><br \/>\n    Vector <span class=\"token keyword\">operator<\/span><span class=\"token operator\">^<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> Vector<span class=\"token operator\">&amp;<\/span> o<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Vector<\/span><span class=\"token punctuation\">(<\/span>y <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>z <span class=\"token operator\">&#8211;<\/span> z <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">,<\/span> z <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>x <span class=\"token operator\">&#8211;<\/span> x <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>z<span class=\"token punctuation\">,<\/span> x <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>y <span class=\"token operator\">&#8211;<\/span> y <span class=\"token operator\">*<\/span> o<span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span> <span class=\"token comment\">\/\/ \u53c9\u79ef<\/span><br \/>\n    Vector <span class=\"token keyword\">operator<\/span><span class=\"token operator\">*<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> k<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Vector<\/span><span class=\"token punctuation\">(<\/span>x <span class=\"token operator\">*<\/span> k<span class=\"token punctuation\">,<\/span> y <span class=\"token operator\">*<\/span> k<span class=\"token punctuation\">,<\/span> z <span class=\"token operator\">*<\/span> k<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Expr<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> isVec<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> val<span class=\"token punctuation\">;<\/span><br \/>\n    Vector vec<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> v<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">:<\/span> <span class=\"token function\">isVec<\/span><span class=\"token punctuation\">(<\/span><span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">val<\/span><span class=\"token punctuation\">(<\/span>v<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>Vector v<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">:<\/span> <span class=\"token function\">isVec<\/span><span class=\"token punctuation\">(<\/span><span class=\"token boolean\">true<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">vec<\/span><span class=\"token punctuation\">(<\/span>v<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Parser<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    string s<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">int<\/span> p<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> err<span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">void<\/span> <span class=\"token function\">skip<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>p <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> s<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039; &#039;<\/span><span class=\"token punctuation\">)<\/span> p<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">char<\/span> <span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token function\">skip<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> p <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">?<\/span> s<span class=\"token punctuation\">[<\/span>p<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">:<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">char<\/span> <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token function\">skip<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> p <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">?<\/span> s<span class=\"token punctuation\">[<\/span>p<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">:<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> <span class=\"token function\">isNum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">char<\/span> c<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> c <span class=\"token operator\">&gt;&#061;<\/span> <span class=\"token char\">&#039;0&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">&lt;&#061;<\/span> <span class=\"token char\">&#039;9&#039;<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">int<\/span> <span class=\"token function\">readNum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span><span class=\"token function\">isNum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> x <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">isNum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> x <span class=\"token operator\">&#061;<\/span> x <span class=\"token operator\">*<\/span> <span class=\"token number\">10<\/span> <span class=\"token operator\">&#043;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token char\">&#039;0&#039;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> x<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    Expr <span class=\"token function\">primary<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">char<\/span> c <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>c <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;(&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            Expr e <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;)&#039;<\/span><span class=\"token punctuation\">)<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> e<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>c <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;[&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            Expr x <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err <span class=\"token operator\">||<\/span> x<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;,&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            Expr y <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err <span class=\"token operator\">||<\/span> y<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;,&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            Expr z <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err <span class=\"token operator\">||<\/span> z<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;]&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">Vector<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">,<\/span> z<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">isNum<\/span><span class=\"token punctuation\">(<\/span>c<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">readNum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    Expr <span class=\"token function\">mul<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        Expr left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">primary<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token boolean\">true<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">char<\/span> op <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>op <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;*&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                Expr right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">primary<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>left<span class=\"token punctuation\">.<\/span>isVec <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">!<\/span>right<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>left<span class=\"token punctuation\">.<\/span>val <span class=\"token operator\">*<\/span> right<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>left<span class=\"token punctuation\">.<\/span>isVec <span class=\"token operator\">&amp;&amp;<\/span> right<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>right<span class=\"token punctuation\">.<\/span>vec <span class=\"token operator\">*<\/span> left<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token punctuation\">.<\/span>isVec <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">!<\/span>right<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>left<span class=\"token punctuation\">.<\/span>vec <span class=\"token operator\">*<\/span> right<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>left<span class=\"token punctuation\">.<\/span>vec <span class=\"token operator\">*<\/span> right<span class=\"token punctuation\">.<\/span>vec<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>op <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;x&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                Expr right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">primary<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>left<span class=\"token punctuation\">.<\/span>isVec <span class=\"token operator\">||<\/span> <span class=\"token operator\">!<\/span>right<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n                left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>left<span class=\"token punctuation\">.<\/span>vec <span class=\"token operator\">^<\/span> right<span class=\"token punctuation\">.<\/span>vec<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p>    Expr <span class=\"token function\">expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        Expr left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">mul<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token boolean\">true<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">char<\/span> op <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">peek<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>op <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;&#043;&#039;<\/span> <span class=\"token operator\">||<\/span> op <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;-&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n                <span class=\"token function\">get<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                Expr right <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">mul<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left<span class=\"token punctuation\">.<\/span>isVec <span class=\"token operator\">&amp;&amp;<\/span> right<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>op <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;&#043;&#039;<\/span> <span class=\"token operator\">?<\/span> left<span class=\"token punctuation\">.<\/span>vec <span class=\"token operator\">&#043;<\/span> right<span class=\"token punctuation\">.<\/span>vec <span class=\"token operator\">:<\/span> left<span class=\"token punctuation\">.<\/span>vec <span class=\"token operator\">&#8211;<\/span> right<span class=\"token punctuation\">.<\/span>vec<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>left<span class=\"token punctuation\">.<\/span>isVec <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">!<\/span>right<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> left <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span>op <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039;&#043;&#039;<\/span> <span class=\"token operator\">?<\/span> left<span class=\"token punctuation\">.<\/span>val <span class=\"token operator\">&#043;<\/span> right<span class=\"token punctuation\">.<\/span>val <span class=\"token operator\">:<\/span> left<span class=\"token punctuation\">.<\/span>val <span class=\"token operator\">&#8211;<\/span> right<span class=\"token punctuation\">.<\/span>val<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n                <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token punctuation\">}<\/span><br \/>\n            <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">break<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> left<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">public<\/span><span class=\"token operator\">:<\/span><br \/>\n    <span class=\"token function\">Parser<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> string<span class=\"token operator\">&amp;<\/span> str<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">:<\/span> <span class=\"token function\">s<\/span><span class=\"token punctuation\">(<\/span>str<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">p<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">err<\/span><span class=\"token punctuation\">(<\/span><span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n    Expr <span class=\"token function\">parse<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        Expr res <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>err<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token function\">Expr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token function\">skip<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>p <span class=\"token operator\">!&#061;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> err <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> res<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">bool<\/span> <span class=\"token function\">hasErr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> err<span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">hasIllegal<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> string<span class=\"token operator\">&amp;<\/span> s<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">char<\/span> c <span class=\"token operator\">:<\/span> s<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039; &#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">!<\/span><span class=\"token function\">isdigit<\/span><span class=\"token punctuation\">(<\/span>c<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;&#043;&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;-&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;*&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;x&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;,&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;[&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;]&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;(&#039;<\/span> <span class=\"token operator\">&amp;&amp;<\/span> c <span class=\"token operator\">!&#061;<\/span> <span class=\"token char\">&#039;)&#039;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">bool<\/span> <span class=\"token function\">spaceInNum<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> string<span class=\"token operator\">&amp;<\/span> s<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">isdigit<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> j <span class=\"token operator\">&#061;<\/span> i<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>j <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token function\">isdigit<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">int<\/span> k <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span>k <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> s<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token char\">&#039; &#039;<\/span><span class=\"token punctuation\">)<\/span> k<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>k <span class=\"token operator\">&lt;<\/span> s<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token function\">isdigit<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span>k<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">true<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            i <span class=\"token operator\">&#061;<\/span> j<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token boolean\">false<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    ios<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">sync_with_stdio<\/span><span class=\"token punctuation\">(<\/span><span class=\"token boolean\">false<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    cin<span class=\"token punctuation\">.<\/span><span class=\"token function\">tie<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">nullptr<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    string line<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">while<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">getline<\/span><span class=\"token punctuation\">(<\/span>cin<span class=\"token punctuation\">,<\/span> line<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&amp;&amp;<\/span> line <span class=\"token operator\">!&#061;<\/span> <span class=\"token string\">&#034;#&#034;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token function\">hasIllegal<\/span><span class=\"token punctuation\">(<\/span>line<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">||<\/span> <span class=\"token function\">spaceInNum<\/span><span class=\"token punctuation\">(<\/span>line<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span> cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;Bang!&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">continue<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><br \/>\n        Parser <span class=\"token function\">parser<\/span><span class=\"token punctuation\">(<\/span>line<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        Expr res <span class=\"token operator\">&#061;<\/span> parser<span class=\"token punctuation\">.<\/span><span class=\"token function\">parse<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>parser<span class=\"token punctuation\">.<\/span><span class=\"token function\">hasErr<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;Bang!&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>res<span class=\"token punctuation\">.<\/span>isVec<span class=\"token punctuation\">)<\/span> cout <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;[&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> res<span class=\"token punctuation\">.<\/span>vec<span class=\"token punctuation\">.<\/span>x <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;,&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> res<span class=\"token punctuation\">.<\/span>vec<span class=\"token punctuation\">.<\/span>y <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;,&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> res<span class=\"token punctuation\">.<\/span>vec<span class=\"token punctuation\">.<\/span>z <span class=\"token operator\">&lt;&lt;<\/span> <span class=\"token string\">&#034;]&#034;<\/span> <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">else<\/span> cout <span class=\"token operator\">&lt;&lt;<\/span> res<span class=\"token punctuation\">.<\/span>val <span class=\"token operator\">&lt;&lt;<\/span> endl<span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token 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