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\/><\/p>\n<p>\u5f53\u7136\u8fd8\u6709\u53e6\u4e00\u79cd\u4f18\u5316\u6309\u79e9\u5408\u5e76&#xff08;\u8c01\u8f88\u6570\u591a\u8c01\u5bb6\u7956\u5148\u5f53\u7239&#xff09;&#xff0c;\u4f46\u662f\u51fa\u9898\u5165\u53d8\u6001\u5230\u5361\u542f\u53d1\u5f0f\u5408\u5e76\u662f\u4e0d\u592a\u53ef\u80fd\u7684\u3002<\/p>\n<h2>&#xff08;\u5047\u5982\u4eba\u4eec\u53ef\u4ee5\u540e\u6094&#xff09;\u53ef\u64a4\u9500\u5e76\u67e5\u96c6<\/h2>\n<p>\u53ef\u64a4\u9500\u5e76\u67e5\u96c6\u6bd4\u8d77\u666e\u901a\u5e76\u67e5\u96c6\u53ea\u591a\u4e86\u4e00\u4e2a\u64cd\u4f5c&#xff0c;\u5373\u64a4\u9500\u4e0a\u4e00\u4e2a\u64cd\u4f5c\u3002\u8fd9\u5c31\u597d\u6bd4\u5415\u5e03\u4e00\u5f00\u59cb\u62dc\u4e01\u539f\u4e3a\u4e49\u7236&#xff0c;\u4f46\u53c8\u6536\u5230\u6311\u62e8&#xff08;\u7701\u7565\u4e00\u4e2a\u4eba\u5934&#xff09;&#xff0c;\u64a4\u9500\u4e86\u8fd9\u4e2a\u64cd\u4f5c&#xff0c;\u8f6c\u800c\u62dc\u8463\u5353\u4e3a\u4e49\u7236&#xff08;\u7701\u7565\u4e00\u4e2a\u70e4\u5168\u732a&#xff09;\u3002\u90a3\u4e48\u6b64\u65f6\u6211\u4eec\u5e94\u8be5\u5982\u4f55\u7ef4\u62a4\u5e76\u67e5\u96c6\u5462&#xff1f;<\/p>\n<p>\u8fd9\u5176\u5b9e\u5f88\u7b80\u5355\u3002\u6211\u4eec\u7ef4\u62a4\u4e00\u4e2a\u6808&#xff0c;\u8bb0\u5f55\u6bcf\u6b21\u8981\u5408\u5e76\u5bb6\u65cf\u7684\u4e24\u4e2a\u4eba\u7684\u7956\u5b97&#xff08;\u4eba\u591a\u7684\u5728\u524d&#xff0c;\u4eba\u5c11\u7684\u5728\u540e&#xff09;&#xff0c;\u5728\u9700\u8981\u65f6\u6211\u4eec\u5c06\u5176\u5f39\u51fa\u3002\u5728\u6b64\u4e4b\u524d&#xff0c;\u4f7f\u7528\u53ef\u64a4\u9500\u5e76\u67e5\u96c6\u9700\u8981\u6ce8\u610f&#xff1a;\u5343\u4e07\u4e0d\u80fd\u4f7f\u7528\u8def\u5f84\u538b\u7f29&#xff01;&#xff01;&#xff01;\u4e3a\u4ec0\u4e48&#xff1f;\u56e0\u4e3a\u8def\u5f84\u538b\u7f29\u4f1a\u76f4\u63a5\u6539\u53d8\u539f\u672c\u7236\u4eb2\u5e8f\u5217\u7684\u6837\u5b50&#xff0c;\u5bfc\u81f4\u6211\u4eec\u8fd8\u539f\u65f6\u4f1a\u51fa\u73b0\u504f\u5dee\u3002<\/p>\n<p>\u5982\u4f55\u8fd8\u539f&#xff1f;\u6211\u4eec\u83b7\u53d6\u6808\u9876\u7684\u4e24\u4e2a\u5143\u7d20&#xff0c;\u6211\u4eec\u628a\u540e\u9762\u7684\u5143\u7d20&#xff0c;\u4e5f\u5c31\u662f\u8ba4\u8d3c\u4f5c\u7236\u7684\u90a3\u5bb6\u7684\u7956\u5b97\u7684\u7236\u4eb2\u6570\u7ec4\u6539\u56de\u81ea\u5df1&#xff0c;\u5e76\u628a\u4eba\u591a\u90a3\u5bb6\u7684\u4eba\u6570\u51cf\u53bb\u81ea\u5df1\u5bb6\u7684\u4eba\u6570&#xff0c;\u8fd9\u6837\u4eba\u4eec\u5c31\u53ef\u4ee5\u6548\u4eff\u5415\u5e03\u4e86\u3002<\/p>\n<h2>&#xff08;\u5bb6\u65cf\u4e4b\u95f4\u7684\u6218\u4e89&#xff09;\u6269\u5c55\u57df\u5e76\u67e5\u96c6<\/h2>\n<p>\u6269\u5c55\u57df\u5e76\u67e5\u96c6\u5927\u6982\u662f\u8fd0\u7528\u6700\u5e7f\u7684\u5e76\u67e5\u96c6\u6a21\u677f\u4e86\u3002\u5927\u5bb6\u5e94\u8be5\u90fd\u542c\u8bf4\u8fc7\u90a3\u9053\u81ed\u540d\u662d\u8457\u7ecf\u5178\u7684\u9898\u76ee\u2014\u2014\u98df\u7269\u94fe\u3002\u6211\u4eec\u4e0d\u8ba8\u8bba\u8fd9\u79cd\u590d\u6742\u7684\u60c5\u51b5&#xff0c;\u6211\u4eec\u8003\u8651\u4e00\u79cd\u7b80\u5316\u7248\u672c\u3002\u5df2\u77e5\u8fd9\u4e2a\u793e\u4f1a\u4e2d\u6709\u4e24\u79cd\u5173\u7cfb&#xff0c;\u4e00\u79cd\u662f\u4ea4\u6218&#xff0c;\u4e00\u79cd\u662f\u7ed3\u76df\u3002\u539f\u672c\u8fd9\u5f88\u597d\u7ef4\u62a4&#xff0c;\u4f46\u901a\u8fc7\u751f\u6d3b\u5e38\u8bc6\u6211\u4eec\u77e5\u9053\u4ea4\u6218\u65b9\u7684\u4ea4\u6218\u65b9\u5c31\u662f\u81ea\u5df1\u7684\u76df\u53cb&#xff08;\u654c\u4eba\u7684\u654c\u4eba\u5c31\u662f\u670b\u53cb&#xff09;\u3002\u5982\u6b64\u4ee5\u6765\u6211\u4eec\u8981\u7ef4\u62a4\u7684\u5c31\u591a\u4e86\u3002<\/p>\n<p>\u5f53\u6211\u4eec\u627e\u5230\u4e24\u4e2a\u4ea4\u6218\u7684\u5bb6\u65cf\u65f6&#xff0c;\u6211\u4eec\u53ef\u4ee5\u628a\u5e76\u67e5\u96c6\u5f00\u6210\u4e24\u500d\u7a7a\u95f4&#xff0c;\u53e6\u4e00\u500d\u7a7a\u95f4\u5b58\u50a8\u8fd9\u4e2a\u5bb6\u65cf\u7684\u654c\u4eba\u3002\u5f53\u53c8\u51fa\u73b0\u654c\u5bf9\u5bb6\u65cf\u65f6&#xff0c;\u6211\u4eec\u53ef\u4ee5\u628a\u7b2c\u4e8c\u500d\u7a7a\u95f4\u7684\u90a3\u4e2a\u5bb6\u65cf\u4e0e\u8fd9\u4e2a\u5bb6\u65cf\u5408\u5e76\u3002\u4f8b\u59822\u7684\u5bb6\u65cf\u6b63\u5728\u548c1\u7684\u5bb6\u65cf\u4ea4\u6218&#xff0c;\u90a3\u4e48\u5bf9\u4e8e2\u6765\u8bf4&#xff0c;\u4ed6\u7684\u5bb6\u65cf\u7684\u654c\u5bf9\u5bb6\u65cf\u5c31\u662f1\u7684\u5bb6\u65cf&#xff0c;\u6b64\u65f6\u5982\u679c4\u7684\u5bb6\u65cf\u4e5f\u6765\u8fdb\u653b2&#xff0c;\u6211\u4eec\u5c31\u53ef\u4ee5\u5408\u5e761\u7684\u5bb6\u65cf\u548c4\u7684\u5bb6\u65cf&#xff0c;\u5408\u5e76\u65b9\u5f0f\u968f\u610f\u3002<\/p>\n<p>\u8fd9\u6837\u6211\u4eec\u5c31\u53ef\u4ee5\u7cbe\u51c6\u7684\u6c42\u51fa\u4e24\u4e2a\u4eba\u4e4b\u95f4\u662f\u654c\u662f\u53cb&#xff0c;\u6709\u6548\u907f\u514d\u4e86\u53cb\u4f24\u62c9\u6ee1\u3002<\/p>\n<h2>\u4ee3\u7801\u4ee5\u53ca\u4f8b\u9898<\/h2>\n<p>\u53ef\u80fd\u6709\u4e00\u4e9b\u6a21\u7248\u662f\u6ca1\u6709\u4f8b\u9898\u7684&#xff0c;\u6bd4\u5982\u53ef\u64a4\u9500\u5e76\u67e5\u96c6&#xff0c;\u56e0\u4e3a\u5b83\u4e3b\u8981\u7528\u4e8e\u7ebf\u6bb5\u6811\u5206\u6cbb&#xff0c;\u6211\u4e5f\u4e0d\u4f1a\u5199\u3002<\/p>\n<p>\u57fa\u7840\u5e76\u67e5\u96c6<\/p>\n<p>#include &lt;bits\/stdc&#043;&#043;.h&gt;<br \/>\n#define int long long<br \/>\nusing namespace std;<br \/>\nconst int N&#061;2e5&#043;10;<br \/>\nint n,m,f[N],op,x,y,siz[N];<br \/>\nint fa(int x){<br \/>\nif(f[x]&#061;&#061;x) return x;<br \/>\nelse return f[x]&#061;fa(f[x]);<br \/>\n}<br \/>\nint read(){<br \/>\nchar c;int x&#061;0,f&#061;1;<br \/>\nwhile(c&lt;&#039;0&#039;||c&gt;&#039;9&#039;){c&#061;getchar();if(c&#061;&#061;&#039;-&#039;) f&#061;-1;}<br \/>\nwhile(c&gt;&#061;&#039;0&#039;&amp;&amp;c&lt;&#061;&#039;9&#039;) x&#061;x*10&#043;c-&#039;0&#039;,c&#061;getchar();<br \/>\nreturn x*f;<br \/>\n}<br \/>\nsigned main(){<br \/>\nn&#061;read(),m&#061;read();<br \/>\nfor(int i&#061;1;i&lt;&#061;n;i&#043;&#043;) f[i]&#061;i, siz[i]&#061;1;<br \/>\nwhile(m&#8211;){<br \/>\nop&#061;read(),x&#061;read(),y&#061;read();<br \/>\nif(op&#061;&#061;1){<br \/>\nif(siz[fa(x)]&lt;siz[fa(y)]) swap(x,y);<br \/>\nf[fa(y)]&#061;fa(x),siz[x]&#043;&#061;siz[y];<br \/>\n}else{<br \/>\nif(fa(x)&#061;&#061;fa(y)) printf(&#034;Y\\\\n&#034;);<br \/>\nelse printf(&#034;N\\\\n&#034;);<br \/>\n}<br \/>\n}<br \/>\nreturn 0;<br \/>\n} <\/p>\n<p>\u53ef\u64a4\u9500\u5e76\u67e5\u96c6&#xff08;\u6ca1\u6709\u4f8b\u9898&#xff09;<\/p>\n<p>#include &lt;bits\/stdc&#043;&#043;.h&gt;<br \/>\n#define int long long<br \/>\nusing namespace std;<br \/>\nconst int N&#061;1e5&#043;10;<br \/>\nint n,f[N],siz[N],q,op,x,y;<br \/>\nstack&lt;pair&lt;int,int&gt; &gt;stk;<br \/>\nint fa(int x){<br \/>\nif(f[x]&#061;&#061;x) return x;<br \/>\nelse return fa(f[x]);<br \/>\n}<br \/>\nsigned main(){<br \/>\ncin&gt;&gt;n&gt;&gt;q;<br \/>\nfor(int i&#061;1;i&lt;&#061;n;i&#043;&#043;) f[i]&#061;i, siz[i]&#061;1;<br \/>\nwhile(q&#8211;){<br \/>\ncin&gt;&gt;op;<br \/>\nif(op&#061;&#061;1){<br \/>\ncin&gt;&gt;x&gt;&gt;y;<br \/>\nif(siz[fa(x)]&lt;siz[fa(y)]) swap(x,y);<br \/>\nint X&#061;fa(x),Y&#061;fa(y);<br \/>\nstk.push({X,Y});<br \/>\nf[Y]&#061;X, siz[X]&#043;&#061;siz[Y];<br \/>\n}else if(op&#061;&#061;3){<br \/>\nx&#061;stk.top().first, y&#061;stk.top().second;<br \/>\nf[y]&#061;y, siz[x]-&#061;siz[y];<br \/>\n}else{<br \/>\ncin&gt;&gt;x&gt;&gt;y;<br \/>\nint X&#061;fa(x),Y&#061;fa(y);<br \/>\nif(X&#061;&#061;Y) cout&lt;&lt;&#034;Yes&#034;&lt;&lt;&#039;\\\\n&#039;;<br \/>\nelse cout&lt;&lt;&#034;No&#034;&lt;&lt;&#039;\\\\n&#039;;<br \/>\n}<br \/>\n}<br \/>\nreturn 0;<br \/>\n} <\/p>\n<p>\u6269\u5c55\u57df\u5e76\u67e5\u96c6<\/p>\n<p>#include &lt;bits\/stdc&#043;&#043;.h&gt;<br \/>\n#define int long long<br \/>\nusing namespace std;<br \/>\nconst int N&#061;1e3&#043;10;<br \/>\nint n,m,x,y,f[N],num[N],e[N],sl;<br \/>\nchar op;<br \/>\nint fa(int x){<br \/>\nif(f[x]&#061;&#061;x) return x;<br \/>\nelse return f[x]&#061;fa(f[x]);<br \/>\n}<br \/>\nsigned main(){<br \/>\ncin&gt;&gt;n&gt;&gt;m;<br \/>\nfor(int i&#061;1;i&lt;&#061;n;i&#043;&#043;) f[i]&#061;i;<br \/>\nwhile(m&#8211;){<br \/>\ncin&gt;&gt;op&gt;&gt;x&gt;&gt;y;<br \/>\nif(op&#061;&#061;&#039;E&#039;){<br 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