From c0be90a27747c0f063b37692226330af750df7ad Mon Sep 17 00:00:00 2001 From: youngyangyang04 <826123027@qq.com> Date: Tue, 29 Sep 2020 10:08:39 +0800 Subject: [PATCH] Update --- README.md | 3 + pics/104. 二叉树的最大深度.png | Bin 0 -> 8949 bytes pics/559.N叉树的最大深度.png | Bin 0 -> 30744 bytes problems/0100.相同的树.md | 38 +++++- problems/0104.二叉树的最大深度.md | 154 +++++++++++++++++----- problems/0111.二叉树的最小深度.md | 24 +++- problems/0144.二叉树的前序遍历.md | 9 ++ problems/0429.N叉树的层序遍历.md | 2 + problems/0559.N叉树的最大深度.md | 46 +++++++ 9 files changed, 235 insertions(+), 41 deletions(-) create mode 100644 pics/104. 二叉树的最大深度.png create mode 100644 pics/559.N叉树的最大深度.png create mode 100644 problems/0559.N叉树的最大深度.md diff --git a/README.md b/README.md index e805d192..65fdff01 100644 --- a/README.md +++ b/README.md @@ -87,6 +87,8 @@ * [二叉树:前中后序迭代方式的写法就不能统一一下么?](https://mp.weixin.qq.com/s/WKg0Ty1_3SZkztpHubZPRg) * [二叉树:层序遍历登场!](https://mp.weixin.qq.com/s/Gb3BjakIKGNpup2jYtTzog) * [二叉树:你真的会翻转二叉树么?](https://mp.weixin.qq.com/s/6gY1MiXrnm-khAAJiIb5Bg) + * [本周小结!(二叉树)](https://mp.weixin.qq.com/s/JWmTeC7aKbBfGx4TY6uwuQ) + * [二叉树:我对称么?](https://mp.weixin.qq.com/s/Kgf0gjvlDlNDfKIH2b1Oxg) (持续更新中....) @@ -282,6 +284,7 @@ |[0515.在每个树行中找最大值](https://github.com/youngyangyang04/leetcode/blob/master/problems/0515.在每个树行中找最大值.md) |二叉树 |简单|**广度优先搜索/队列**| |[0538.把二叉搜索树转换为累加树](https://github.com/youngyangyang04/leetcode/blob/master/problems/0538.把二叉搜索树转换为累加树.md) |二叉树 |简单|**递归** **迭代**| |[0541.反转字符串II](https://github.com/youngyangyang04/leetcode/blob/master/problems/0541.反转字符串II.md) |字符串 |简单| **模拟**| +|[0559.N叉树的最大深度](https://github.com/youngyangyang04/leetcode/blob/master/problems/0559.N叉树的最大深度.md) |N叉树 |简单| **递归**| |[0575.分糖果](https://github.com/youngyangyang04/leetcode/blob/master/problems/0575.分糖果.md) |哈希表 |简单|**哈希**| |[0589.N叉树的前序遍历](https://github.com/youngyangyang04/leetcode/blob/master/problems/0589.N叉树的前序遍历.md) |树 |简单|**递归** **栈/迭代**| |[0590.N叉树的后序遍历](https://github.com/youngyangyang04/leetcode/blob/master/problems/0590.N叉树的后序遍历.md) |树 |简单|**递归** **栈/迭代**| diff --git a/pics/104. 二叉树的最大深度.png b/pics/104. 二叉树的最大深度.png new file mode 100644 index 0000000000000000000000000000000000000000..74873c767e1a718d223e24372c264b18d7b6da1c GIT binary patch literal 8949 zcmeHNc{r4P+eUaqQ3)YSNtg`Dn!RL+EQujwiwD^odv-|+;Za$#XNioRF}5)(OA(67 zo{W7byD_}K>HVJOevj|(?>N5WecwMYZufG{b)DCFo#!yi8Txd2$B)a>dT{s=cl*6%4#)prU^0NJUFN1$=RV zFK~G#HPr#|lbU=iljiTg9x%;3@b_z~N%DzVD*}H|QJuEBdgYRlAN9g;z$c3ylFD)y zYmJarj|MI48G>OlOyKq>8(R3&YxnpG$FP?;rTyJCANn{sMRExo`=FKm?6r=gfj2x$ zOW5!(PG8}Ueb_bv>r6B9tz3_|L2rn=VqR#rbeGvF=74Z zWxtN`i}PDgh|K@@w7(Pj|0f|~RS_18v)>q`WMx~2eMfk@ls3&jzK|43fFs$J0ydtc z`F_9nfQ66uz#q&mx{{rzeqrICg>Iuu-dhdXLl)GxB#XNbR63%Xj%vEBDbus?p2Us> z2UI%RUPfhWF;mK(Pffia+i)oSOA!)Vz5JHR_UHJAxVPV)a7xdz6!5mhUn)L5DeZ&uheN3yN#%#~=G4H1~E zwk~gQ7g8UfuPkTFJ4)#VgCZIl1gGX?r^3=l#4+=__J$y03vmgL-!R#L1et%G8qJV^ z`q3TrU?iBhur>Zn-)3)jd!>n0zv;{C8`-(Jf*R3WY_cPPo}B2=L8W^aVS+7ob5Nio+^U z!hdc0Xqtj=Os-C%{ma=R?Dw|f?~ZwCgcyazN5vL(Raw$`6oB#nGrbyTai(%OYdKQ8 zE04U_BizQoxlX0cA-UC$k^&@G0SJbx=s*!4tRQPV>||`??TfoT=5hY(ZF|zv((x~S zEueQ61H5M5y#wulMLJQB>ziux^pMI4Cx(U^i#d{@mu`YA4zrYTpMgBt92~33SyzJ~ zYM6<^)LW&=?Jr2~JPtCLPCWg_0;#Y!VAHRpBXyS`d218ow~p5_Q-Kus3l0SG9~7KA z7eP=b;Yx;bP?qn~_p;lcv$87Xy=T8ne?^-FlIE<$wF9`I#j6Abhzk_bO+L=VA@<}Q zvw|pq+V$rMmW$(m^|{q85Vof>Vvkq3KvHUi1u4D1;^^r37&X>n2Tu#x+g885vM>Aj z%a`L*=>cvVt#Is+VWp4s6-ZefX_J#vQjpp`USpLz?*(F;{yL>*vxM7>nd!;nSa0dc zen{F`kJ4A(K4agJ%%(73s&;*__XMQi&8+9cjcMD5<_#qrN<8db>lUgcY?>aK;{3gz z@Tn+oV)P+MC@=u@7Z!fOcX4QX1RvspTmL2zurWW~ovRZDFAmuT!t?p%m^Mdd0oFYeame5G&~ChLT5KEYlmV! z9^@r-K9cPmK^DKQTZlWMPTk@9vwLXlp>4~P{_(ra#~=)N5i}ANQDL!KfL+}3q$cm( zKj*6k-RLUU@Zw6N_gTw*ZFEy);FiJL6Z=77l7H(DPzK>T@EEGQZm1|GvFglFgqg47 zV3q4ws%Pg1z0UQ)+H+~@khIs(ih7hqbdv{~j3;KUxUOYnZv%U~=hfOxX%fA2tkTA# z<5k`FxH5=CQ&pw@iBQ^O4C~IjXJ}+W=Q?R0*Buqwezdq7o@Y$^keP>T25ZGCq*q8o zCkScr(yCC-LX5Oojn#)2IYS@&#p>pdmDK;#?tg1>&M}puq%vR9eYAFcv#g(V{uH9f zj7=!r&!(TRM`1cMoX~Ey=TX1@4N0CSu9w!upkOtkq4{RtR&0rrZ;9p0urQ8khRYaP z7F+35xofrhQXmQw;)Ercbl9qYvpZcuM^hJ{+A}Orlxk5 zJm?vP9Jk!9dy&X7v8I)Kr_+f^G)Z`2D61Aw6I;)>v&*?jA1VN*=AV6b$xlV%U<6)mcIHK5`v%H77iUgT6ph%&N|aL#I5+xR|O>I@ln zhqz@#$q@9M{PwPzue-9Wobk8Wt`8HNdzth3_qVMwd99Y0bEdsG4)iL*MYjRhquUb2)bGZ-0wWBd)p zkRHqz2Z8*11~-5xU5fOUN{Z83;rSm8()q9@w`g94k(eI#H=d++3up=Lm=bRq+^MfBaWc#(ixC|() zW{K95tbg$O{g9v94u{m}E!{8fW^{j5W#%^?r%8CrB>v>?>SU3LA3m65)17m5C09Ji z5oa5}MGkBwoNt$3d3*fXdhLj9tP-JtxERIbJA}g7&O}-5@AUR#;P5$SREmr%!9j(1 z)7;~OAa{LdBBZh|FI3+tolde31wtt<0xj7oCqQOG)5_b|71zJq=r7b;^h;iNz2>t| z+H9Rjv`UYUd;5tj-1SvRUgkmTUq6@Gwr&we_IWuhygt*n?@ow^aE|QnZ3;xZ&e$Cn zk_g&aOOkOlV;Ai$y!niWTft|ZzGPhx0zu^2Pj@6uN48pI%QYt-9O68NCoQ=5UMFsi z#a6sPOI3LH=*l*~a7eG|T+!Y|O~jjM6i6#IRB!mq6=7R)6D^a2*4xgNkmvBvhl#*N zfN6yk1@f@_P~S{mM!HIZkKwX*1#;&4JFf)<(iPK*3W4-fsU6K>>2Qq4MB6-8>+vk$ z_M7^m9gNXj(lBE1?$*j2Pe~Jph;@*Rd9FMV?_xH;2Z#eT zuNTX!RIb7yZkgIaQxsH~ywS5%;xV{bx0F8Ep}fD{6=I)3oUiDTAHfqB>rjB5Tcmr< zS!aAr9d$oLUcinhdr-raG_Ws=TnDSROUT}3HyE=p6u8=P^D2qBY30!TPD%}9 z{pQ}hX;-?^s+|h3KKSYWf?%whGUqEr4HdZN5t zEb3A?ebJ5HZ%FsFeIhUfkv)0}@I4Tx{pPa-w=Rnm1lP5}fvG9+N(ccrvLBQ(Z`59j zsGTi9+l;@DlK|3i-okKU5Zjd?smI|jubFX zTIUW0`^*8BaRG2H`}4!o`JqZG4gXUp#%ET$1di1_ar5f)gCl)9k*h)j(82wc<}gR8 z#|06uoREy+V&FvP(Q691P6LM3+DpsYQSOI$73I1w{NxS@F=o^ivCh2{Z(mwmw^*z7 z#(4q0NxVSq?8-)@@B<_3?dlP0*GP0t&Bgtnqie#qFfJtxJ5E(QBfv!RsXb(le#|P= zG7yCdtm<5QI$FsSyfrG}GvBxV*4XUQ@*Z)itCRD*wd%%92o%5Os*O7;@1zDjM8nrz6ll3j?m@WuLP(9a=MhXPu`g645i-|ifpIVJbupqS z(@@oDU^S&>tlI=3lE)v&mRTO|c&IqG1;#1*aFPd9d{_eU;oquZ2g%8oB%s!954$M^hwhHFm*x zh!L}>ZOXh94l~zn63I(FrjsZZo#Nh5L%<0CMnI@)5hxiOZyD09MiBi2jFTA9o5t12 zk6x-h)BppB@H#I&@@9p-aXl{`WyaF`(C-(5Xt)cl}s7_4zl!|Tfew|{D#`UFMd96MAt=C?Ms&TNh5PE_)db^4M&4OVeJ;jlPARn38FWTh0`C7wD29qfDF{VSxd6MapT6dR5=Ody{$1D*%C;lyvduO zyK?9tR8*J8+FY+Vv&!!B*77@+F|cynoxc?VS0F$3|(bIlyVNfO|!pLIKj>-67*kbeWblP3pKn1p{VJNhg*>%{WWKnmnTr3qD){F;mrj_pbWQ=N5mJf(;=p!OH8 z{_@8qmT9<6r$JXN{6ByQUN@hLfl}j7fN5G!)^I?OC+4t3Q`k7) z4rHq-8w)hq^iYlGN#Fw{{FZ+l+eGY4mQ)iWbkS^O8k4W`w1Mm5?4 zwkHy8e>8@1E2T3BE;w67sqC%9rYPo_v4F14D+9v3vbH`i-5<6w60(oTSh_-~9_F+) zy|bhSj4tzBN&N-;&eRtcU%>|sreNKTMoxo(%tJ`)+=?MU)DHgG#4Ov9o#`yP?9p2p%l4re&weWFYtR zy+C_!SvrMhj8p+>9PkG^viyAfoKt_fT^!=8&c3DJXhij7vNPd(z*2Nc@H)EY#w=kK zxB0yt&nJp~uWm7vltSTz(xcR|3~scqlB~e)_4^7?=;Qmj*70vO{jZ~d&nBoWosI${ z-|eS`S#x2Yx$A^|$;OapmmC-l?O%(6A<oJsSHRoh@(SKB(z`N>PVK}KG)su>4`MsJde$_ z>r?QaeNOZY&zK1^-5m1NCkGsT^5TUJupl{{j?}RVUVifj*$owr>xk8yk@uQ5(3yY^ zpG)L5>+)gF3un^rPQF+#)?zYp!IL(&mwMb|x*5Z276zP4qOU$XYqwN83n)Es?X%{u zJ*WS3G1u0Up4W!_#-eL_oOf0qaJ#*?FRAri;?35KEuIOuu1Lvf2hiR!CN4~!R$zh8 zo^P1n=IY4yMvX;Ds)0DX)H3>zFP&KXN(GGVchwUK$nt>d>8z;J!`ac4At`WBiZoS* zP0*+v)gGG5%LwLTVi$dMT(#Ra0_@doH;89+5>0HR)~^26ikV(u1kAW#uKhj|sv3UK zRK4^K{m=r1lK2heK|Q>x%%BtH4H(Jv+;^}#kZWhavF?5+=mel=JyOc$(l{*k`>j&b z~*aY=GXB_k`8WP}j1%ZiG!xnyLIva(%NNKs^GuN0YOuQHNNMRt+M zE@XR-Q{DIX{yxv|^?N=4ba%_=^Et@E5AMfJ~zO1fDwU=Qp5fKrUvXX)Z5z!th zA|m1yEE)VnkjI#oh=`R)SwZ&dZKIhXicDJB#_7~b9F52=dTXwmbG8sIStF5!`bA?%C^_1ITb^h!X@17o1^)Y z2Hn3WXyoXeR#sBN^07WX1`}bI>#nuhozN%`p)FptrO>>^?A!auLXTx@ZiCYNgZxH= zn{7$bHRH_@iuRR@7a~|KQcKDDnhDx>vzaiWF_#YsyE$ zeZ%s_)M!yzuMtt^58wnp04jUv=kTi39#~i9^!TWY=3sX0w*e zFhweQL4}_aZ9H2WzeV{k7qP*>eP~#%7E~`CAP0*Ybs|&Ph^<*kfb!X(-nx1&rUwSi5*ydAf>q}wh z$>yOVlbqmcN!+vk@!Oq0L52ihC)|Gm`I^>}rymd+_;?87TPLZo* znk^MR#Ofz=3Y>yTiW2><51^r(EPkG*7#8))rg!~o#`nu?OW!6v=c}~EU1#1o=cJ?- zuwbyIXnqXm4x!V9oqS`Lp%NLMp3ZUU(hCNwOFx`*C@3fjt$Mf)`-L2QJO*aV2NS$` zJ@WuM@q{NN@1yzoA2N!rjK8rf_;JO1%5$PMw$Og4T<4JTSr~*&D-7R6U4^hapcL%V z?0_~{D(A0>HcE3h{JdtK(Ydm*P>FQko$cz-h*4O<3i!bAtb`t#@NF&Q=})<-ZuCpv zzDv6Qye$%{b4K#)+0T^+bKMx>@Ev|(!cC5BIhIISzV!q*7XB{7dX?BPEXAbZes`JE z_si6aTRz7WL!Z>wD|~WT@V-RLiWxo#)_J3*%Nm(N5k@tdFEa6*=lj=o1CopZnpFIH z#n1LJ2rHq3bM?@Z5EzF72lzA^M)F;IQ8;-yTZ7Z;b76+CZJ$6lyO-zS%;zF=ICh2B zA5V@nDj9>(tAT|%tT5(YKz6{LZ~Ix$Df&8`&qP~aNe07I1q!E<6unp0i_b#E(Lz3g zeUmdWIljB9I@rmIee07ChpmiNb!Fy-CyyC~9Om^$lgqyVCphk9G8?R?Uk$12{4g(g zzX;Q&&^3w9BMQ;yJY98be5wwfxXenHafJkqAFc|PX6fD&w7sl2f0-Jet#NRUf-pPW z%KjC;1aX(})>xsCxB@ge5%BSSos`AI@GY#L%$GNJ&DWQvG+x_&CQ@KD3}O_qeS~Zt zoM$ReP#O)4{0PM(;d*Si$!-kNpzEu2FZz&&AITwVI~?ct5_isR&VU;Zj3s$K9dZWA z;J^Y(4?aYrSzsX$_K?5-J>uJurhNS=Zat`*N_3F5%42!&*a=s3x}SpMacqp#fDaLq z@X!qgpBQc(%l%GJ|-l^pNG=KJL?omp$l=}afviwwnv<(&ht zsGMwUY<!ea*KlJsA;d7VCF{SkvTP^%G zr<%f8MDdMzHQOFV>xH?>Z}YFe9bfqJR?ws#t3CS+%^RE})2?%LyqXMS|GCt2Np-gW z)zRGJxo^n#9bx6KUQIP?i@WCWd(MtImf`HJ^fiaqTvQ&S*dCvq27-OxF? z0tT(<&W&Cwlk7azEeN5jtH$0wj@7{ZTjY(ZAluJ{v6%)JIc(J!MC=Do*!36FY_;5j zRV?L(Rm_xfK^}$}SNbhVzg2?D{pWZApWZ;kz439gUq?QcjQH3j9Ho*YA{c``k-Vr0 zK8$v)LMHQK?0Cg|b&+-X#}Mr6<5c1;J#C^Rr?S)&?t9i;VFN32%qCLa^BqMRKfg2# z_+?QWs&v)p_AU>0?!lGxFPm$>Qf&;LO1SZbFNl$$xBf3@!AanGStpE7&(ZhJ&OJ_^8iAg8_ZE7Ef|Ji|wbT zzuR9d6qE~R&h{KP3fVHF{Fv6ngKOM%Gs=$#ZgOC-^;!_+UMD_5Ys0!gN38$JN-5ja z);Ejb!mujF=I6%?w)1+4WEO3l*Gc1+`<+G?8FXm+vsm`Nk*f`We`TH#j(Y%)-&Rfr z?-ed&p+5B~H{PY~^_Kd7jbM7l5{JQ(sKWPjw$zGYs4|13nd%AFT6Yp5-V9EwzmS71 zfD;{eC`G^6^0C&5O$iv(=rcH_X_W`j8DM?%x)*YA zaOhYl27rm`z=-O8IHaPLGN9?a_Au{7} zh83(7S4Kl6<{m*@P-zb5l$Z1$LT>9jINzs58D{V>5kZw?FCCxljmszXU!UT$!rJ!b z%Q{b_AC+)5z6-0N1K`&9yl5vDeP{=>wZ0q?as1NHAPuZxZWxz&`%~Qy574gX%YyOT zGfJjHYfeP+*G~%-ohUFglCe*zyrT*|sRI zuKn;UGLR%tpvOqQ?uIR=td#3-@7>JprHpJ#Jg2{;{`UE`7nPj`{XuXz0rFxmThN|_ zT{jN!lk!M&V}zi1L*6OJS{@)yn<3fZx}xX$misW+Ajd315xf<)e;c!IFW+$gPzHi6 zd4t^y0O7fVgM%wujIDM$Pm%cZ!P!YpBCZdE1uSLFhirfwUtKu^IOgYg^Ozjv%yYrB zXLa`;I>`aSJ^}*w=Z|7~0r1Q44X532)bbLly*J_xrG9UV|E@)wlU-s|<&nxG^Lu_| zBu=CY2g4ZEAf6L;l-f;^O1YBV7#T$EPk|Gh_`uzQLu;*!okBm5~p#xU;3P3D;!+gfHRvxow0-A&*&o!1BYh$LW`nj504J&Alkq z*qaIX_SW3sS(G2ln{vv)1A*{>^!noyXrntQnZ%uy-beA;4Byl#bxip_rp)Wt|H>xb z?TCnNAFJq)bA-bfhX6bk4NujqM_8h#F73UTD5<+dld&>8&_ajzVuP5y`0Xfp)mz7} z^%P~(FDuLjOK(ner9%{PFYK@s{@;GZ?-~a0vzDQJSUpkFs#<2mspDLx_xiK&?UK($ z78_r`S$a>Ef!&3lb()Z7R$d>ExO8!5eMERgV!pEHd3DNZUjXb4>zY$?xVkhao zeNXZ=y0?#>eW=`JL!WVpav9}%{l!*^iJ{lBuGxLci3L07ZHP_`gcRtU$I_#^0P=W_ z-8?D(3aoddQHmPcs4&t`d3c9vCX2SXj~x5N11?*~t2gx*nybbNT=zdt=ht(0p#QZU zk7nk@vYF!N;!aPv_M^ZWe7@|~H!m+T9QgR#=zSqo7vj>>pUohLec_d`fo9p?8$C^)y1*4Q%dVf8V?!Hm}s>DT(Le72mya!(B&Dv#;5gtCM!CJOb}5W zi~HzyeTo{fcOt%K@<&V6`uP%-$dgvgv{U;%$mK^K>p;33oB0aP{|$mzmZ)Kj-EgJ* zjr9*3a}^zx0m*J8Py3_z@%9&&Gj6KYRxTI?Y92-qehz?b>6m)%pOfnxb*!o)d7eq( zr=)NCi3+!Q5gYN=Bx!tmk~IIv7uurDD&Wsdf9ixu-H42dIl-fq^XT`m=cVop)#EPH zpU#9S9s+>feIwBOsZ?CX{6$N_%p$>E{JaP*G$>kl85yzE;l66`iZxCHmaH!RVpttl zUOjJu&b&;HL79eDo)Pa|O1h}84I%M0z=4R?bdTH~dw6SWxmOj8{vswhxUoZe=alsJ zY8unoTMA3|&5)y*HH9Ai`Pm{Vw&u{utB=T;Z`Tf9>7*+k>USO@S8H9m$zL^nIbDgS zBu);}RU9j4XTBI>@lH6K@^D&+|cU9ValEw`w%_vh?fTGRH6ebn*6c_bk6A_Z0syB(Gw8 zgZ!}=MAgwdC(Y47rRX}%uEQzk(zWa_&dy3(zSZqW;{!nF97*X&r3hLH2G|A5B{76& z7Yb^(w>H!Y(ZP#2HR!vuRsG;onDX0(&~>20)P6n^bufyM9CRJ9tDcefmjh%1+4ED; zOfq;+trNzy@xf_|w?LXXWNI$|n)sgn#iVAcI46LdS|s?bP>1B$_c;#uq@xlzD>j|` z2#!^rNT!UnDqPr@uZgdqPE#h*&4H*#3T#7JdfjLh^m;_jo z`fJP*4fPl1g;uVh8=ZaGx5E(vgFYLxiDBGNiTtC4pSAVkeeDheI@D}^g5!TRTSLrj z2975&q~uuRELuU>lVr^IjwDe$lSN0OUHIL`hm7P0xPs6kB|-#0OU@u-YuQeK421M2 z6Dxd9Ngu{+cWeduJ+I^W5ObZ}Q1(C3ViI*q*Ne{d88PWutIKJ$$JJx%*-oGCg702? zq4mspCh&hlo`tv6(lPu&HoY&w4Fa*UC+xsd`j@X1`4Fd_><583nHYQraBH-KiU{zA zFA7(?_)do8Mr+LV>Vr~SOFa{+DL%S4XvZACydgcI@E{=Z*m__1u#07PIt3r{Jz#sI z3cEw)%XgbM`gMK*vKyghf2r_#*XBG64k}-Xqf1vf&so@4uibEJA8&~c(}bi21DPmp zf!1$<22o6T)$7mKe)a-)C)B_-FhW||^JrZ+MRQ>V;1I|Dj&r}6vZx_G>%hX)CR~~X zK#wP=#f!w6eREtIXA8{@ad0h-|>=r364df%s`rbD;RMBP__&$;+&_}?N-On!z{#A0w zTbLQXhg+L18EK^}Bc(hXV1b@H-&~M;H5L+p`ZGKMWTBj2~wMblY|4T^IO{48Tv3 zLvm@zA$=e<^4)TY5Gc0(s6s}?KyvK~n8y{&_U{EmEde*6_O-Lp{a4>X6>fO)Av}4; zP!{2NLJOtW@<(khT`||0m^BlvYA^S9CcxX{_SEkjE^wXIbLwUDT$!0*`WXH5Gt8F- z-n%`in7ZqO9vnIShGX9z^8Ld2_kAYE;VFrh5YDM%PQalE2FpV(Wr8Q>WJhVA62n(@ z^}8@pnMn+AAKA)>UslYC|02x+OHE;EO=N?-`%eAA6?MGV;$3COj;Ci$+lK_r-`_DL zBL}-Z2cKP8BIQN-*fvLJ)+HADa~{QOZ$6g0*f=vm)N{nH)HJBa2{&_8L$dUQcn_JF zK79rlk|{hH+NB`?CmR=AOU~kD?2}Rj(HeG$NBiZwyaM*-C>|`{z+7V{=aheE$1@n_4FH@e#b>r@9%&c^c>(B-Q z(cb%X8lw9{!!J+n5Me@LJ;W}k)}a;a$E^3=jK*F=wpiTvBc_R&fSl}q+=^6p$>6|;_Xql!7pQ$Rfiaq0}Qu-H|C2FV3PJ3 z9CSGWDVrfx`WY(x7z){eB*UKb=fF>!HHULuFI{Y8Jo-G?Bn_Nn(1niAreREHO%4P? zc_+SNKfp1!*K#U~M1-s8@w4d29H9iRuHUPxi<|R|?lWKy9@r$8>Y)A5=!q>nd`iby zO7r9MYeLQPkd`H62LXQw$YeK_3<|6TF0FOwZWD{|Ajdv!Lziok&oe?#py*W_GL`~C z=S=Y10f!n0QgDvz3tXQ=9EQwtKZ10paZ2jyB6!OsPIa}z&#z`52+-hWXNDDCyc}wH z6kwu2(kr>Udt=AhE+tA9@H`F2$@oc7J>7#mza|E#Mo~99aksfsP+M_(&hXylPoxeE znFXx>faz>E$9}*dPNgFEq3ZO{H);0Tj#LkAe$5V3n;g0eK1fmLKw#M}r{?4A;sD;t ziwpvSb%f+WZVird%vm5lN_+m4{pvMjviv^a#n0$Yf-Rj2$;=T$z=?j4@Z-Wm2J>+8 zs-E5#+Wh3!$x0-+QT09F0gSQY?$tsqsx3Mq-oCtM={#SAS9}iW)WWMyHe7 zz@T7v0ES{~aG|iJ{|vWl?<8F~kUuf}91wCIz7`8DK}1@3XwVfQ$YAZm$+sR@n{>e0 zE}$7zm$zl&CWW|tD&MU6z%R~pueG0C*WV?cs|ZV@GO`3uH~kB^?bwbPU~trSLEJjO z61yC0JFNLlvMg~3G@-R&(%Y8Rw{!Gfz2~3=lU-3Cv$A>zzrd#HZr_ApTx{FPYtPNX z1E=$9hMi7#8k5)}2$*r)5(-*6oB}qVPDKbzVl@6Bx#ufgF@1>CZtrdkhXR*{R0|Lr zXM*K{m9n+vvXiUz0K#UvB8Uw9sw64IT!(7oNxa(Oxtg8r+gg_l`B19iHzya#;=5T; zHtjfIR}woeyHm)9TrUSzihjXy40hGP7}#U3>z&+;8%tATzbq-{Q-L(hZ@(LDb_n4KVM(bsIQbl3|Inr4 z_Wdv?iFJY&c)O>h&KEeUDr$eV-Mm+lFCI=tDZv@4R=#wOYim))LeE5=h)@GotOlzmXuCiIT8>A$u$+8_A(7>*X6i4oAiB5p^(v~gdAfUs3}J;y#<>?S~3f)o20 z;-eDI`??C`n{Xl|{)k{7A3pAi3=dFP#3?4p+nojrPzoL$v!vkt1KBryXV5v&3Fpz~ z6N&;P*0JN;efj=BS^!yEHVijxjH4bL?s*a;@8xSwkLP>yl44aJQxRIgf*gJBuqSH@ zO~<4LzXd{s?mgQ~fL|VX8n2HDBmpw{q~IRS!te6rRdyTng&gEQV2ewo{D}TA;5r@);EG;UDkZhiSe`qq|Hh9Qf@jQ#|~K zEv=(_cpK{Mtw*kvJ6j1|`1bDcTe_PxBp4V_tvfjCL|lxx%k#2|&ga*7=z$SE-hc5} z6+(LteST{2fCu9S+Eyf39_o-)ADsK|%RGm#K4k)E_No?$;#Ph)>CJ_JGNNdH{P2&J zZn1gT&f9q%m7QNvuq;4txG~e+%+QBhD1;S^_6&P{3@YOZa@Qc|O;uTsrXoI$c-qSu ztsxlsd;3m@T(th$nW0K&j9bWo2P`T=?;QhF4hn%7{Nxg;MOEivK7+oRx&yI)Do2EQ z#(dMJ{X&@uXPp`!SV47h(YuvoQW}ow&N4R*+o%;`xXQBys#&dfU%{9XL+>_v%7de2 z+!_zm+Qnhie{t9<8;1$@5jYn=@%YO$`MRS4)KUU;J?!W2$J}AlerX^g8vS|=MIyz7 zDZ=Ib%#xOk<$$ydmbx+mnLXa^$;}ML3V0qsv7z+T0-&>a%E@p})r*A-kXe@xvOlMe zgO_)D42Iqw@%p7EwDK`Ww}*q8UeGK*?RqhWa2184Yyz-)6b6-+QtOjxT-Qfar}VT* z%1y%W$+*?LsKak|jSsnvoC)3|9aq|a^lIWgrD$fX&$A#j*E+} zfHmUA2~9#nb2L9L!FeJ4!XSFPHpK7dx6DEuth=0yNpvYzfJVU}CY$3AiWl2QO!9`d z)cL*a7H2NxzF!X24r9fjt~-i5)o_8M_DK&-!OhD|@bFi^i-)izhJFnX{e8&#j!G*B z3~kYV_*778e%W()xKx>8W|mR!p5J#;C>vVbAO~Ki!o91^xXwQ@ESP8$K=^2l)Uv8V zh3jlMIxz*NO|3`t0M^&sxxmDXO3%hwU1lVetet?ZOX;x9{7E@tdhY^|(vFv1(I;5$Z49E>Lv_%po*A~lT!gItCaPbwM4Zwbsf-q1gq{p zxUn6!70BWvV7gZBGTo}P4LsPov?aUqKh;g}?TBM6t3~+9z!>x`--e7W&tll%z}@ky z=S!s1fx;mD01qIj#ubF1ex0U~@q%}MomR8M>hL1?pTQ?dd3!PQeqmd1Ll$yB zdGEd>0y54g?bMhO-6vv`1#xac;MUpX3K%gyw5u~k9Ty9ev;JY7)mCRu0(n>|n6pEM~LZ%#*sS`Zh``G~>%{4~@Po$~|X#sX~ciW{OhJ-){^f z+4KXn0k<#1-UK9Eh&W0!x+S8hem34l8B`iG_5!(17hy!F_4ZzUcy59&1;kphgepj6q(Y-Q zaY4XVAe`Q?gMlimNNi^Kc8gzQDgZ^Zle&^A@nJDejV zYjwm|?=MxMW83!XJE&^}L21K%?fH{=)BPTPfM}%m1da4yyf;=NA0JbUGfM$s7>a<$ zMx(&C^nZSsCMPV8HN{s9Lgge1IM)q`flB9LA2jz6Q}4~uDR{H_M)TQawg>^Bw+8~Q zbefUOz?siaW3jyJMj9RgbWOg~cXcPV=O8(83rP8v4Tj)&i*=NZxQZ&L`3*`C$tEBv z@qD%{e27>Aj>F6ho!+-|1gI^?*?braleT|(1+vS?-~P!Bu;F{Kw+$ggklqk@sg)Z? z{~!;@m%KoQ4Vrv8nC*T0WEv?NF{g`{l$5tNHUL=MB1 zpZC>LOK;|X_f{IJ-lpY6j6C{MRk=%T@Ec6}6XEh%)FcmY6Gj`}_39X_;^`>6MeG-Sv!tD7@i# zRPuKI8WMmM&~@I;Uh*wBj1x9kA2G%AaI)iUiPerI`fj^Nh#{V$?+EjQ#6PEKiyK5N zWDy)@@1Hd9d*(Lmo+Z79^CXGE;m)QlNFVvm-#_>`8t?PD@_2d&9yFQy&UMd`exZr` z&&*I2vg{Lxn%)~sLk*O1L*+yl4R{Ad9qxmK1(Kzf_fQmQBkG5$_rm@g4nTS9%dmv4 z{&V}RVFA@^GhyI|E`gKl*j(UdR>4 z=(>R|<>@LO0pD#eCpE9}$BM0IP6N6erfO{BJ#Mvd^ZS9g1dK!VS|&Y{4HT8hnrvQ{ zHMZaDJ_$J7acYQcPH?rdh@!)T0L#>1z(@x&!j}&bleTQPUvG~xga4N-wk!$*tK~*M9mS0MXC&7H=iIFfTxClW4}Gok%R}m!!gm}+iCx+ z$R>7cJP69gEkG12__pmpm}(sXF~qw))RL^gVnqPfF2|JH4~Ywvns+1)aqL^q5e8pg zf2p=(Om*`h5ScryLeFPu^^hcc zEdKzh!=Y@Qf>b15vwi|8n5v0MD!4>B#K}ciPF~IYSGVkQf)wg|n$C3$M?06!S^;wy z6efdfj9yjJpv1URPHrg1NlwZ=3m~JquWCw<-+p_s8yDTf+ZQ=`^e*UP-vc3=ekJXK zMxIes=_$qHASKlR9s|JMb+4O7 zj~Q?aQGQa@IlY4@P}scO#!l5YuKu*R7EX4&UGTl|u5=S*1O%9L zrnDu}Z@}`a0IF%D{E%V`AUp!n$+-G7nCk>C;pTbr7YI4m{eVKuzKjzqAX7X+vME-r zP*<0NB{3RB>3;85RQIr1Y>4edgqcr1layC!F_a8BjyFcP2t5|Q64c-P905#+@9(8 ziY6OI_8>CldLND(Bu{axfC^h*=^kh4vibFZUTD054lf*$Jz38U9=^)<)dPO3-+Pti z`!CGU`1`eUAu_uR$@q>buX7HpsFBlnf0%@b7zwFPruaa(lvc+4`KRYRKUEeb_q?$# z?8?JS56Gu`V^`(CWJCDHgIIC-N-}wE>th+}O)uvq4O~86oA6fgzIZm{;Uec!`!Or* z(EW3oG$@C6$6tSQhhoCqG|z55+!ZMJHb10>l0M@LRH?=*>ubQO<6C`ezTW4#_$Il= z1oY>Azc4<`_@}*TWF-FF$!<)-H$iIYPh1KzQM0w5-);eMuuXAik+bqwKsuWw|H^iV zpO1ixD*^T>7XPKHd@7Fy%6~#dJce<&Nj+*HnbtIQVg=0w-87I+@`gW9U?9WVl&Tg> zyO50~(H;d!qHvhvbOZ_L64z-Jf)8*i%%3zEJc55CeMyPojp$g=&fdvcsRVjuJYQ&o zIHmpD9~YI@yI;5Gr-vPzN>g3$>qfGOIM=sSqA`k3e0H|nfKhv(Oa2u$*IqP!on|4! zZ={J1@5&&{Hd-hHnLFPZjP~lDhJdf!^J8icAa!-%QV)F(eK3Xr?Ux`)UrUO zlNV4y$m9%(&w#UQIz)RV$VyuC4wS!Nf??ZkM@zWPNpIJ1Q9;iM&Xd6UfFH2H{c}uE zHuBSzTtVf@9SO(LT9zH(h8mzsv%b9%qB%yXyoV(}pLEGT5d?@u#_@PjZ_zPe zrM`Y3@5r;SzbjLWdBESb_m(68Pp;b414Cu9-M9q&Xy_+>508zGFt;Py{jnZRvMkcw zijk<6=T6*6_x)iuF(G-cK()fiFAl0MMzTy2Z!631?Fogq7r)ll8x-A8#UKWa*5(u6t3eTllRe&>DLM&w}e89W4719}d3vf7I|K|8F%sEBga} z6Rt>OuPX;^`|thkxq&kDM%MNS780+Z9A^uBVU7}?iWvT^=1waE4g>iA+F^N%c_CP;L?+w zaMGA76av+ov0;mx&wGLcXjUVL#zKU4_pbOVsk77=>S2N9y|SKH3tR#;u{>U8gepyt zhTr11dA|qzR}!x>h1UAQaG%oSl^9loGEU?>PiahjF3PeUcukd3gN1VPRbZ?+pk`VN zBW1@Kdnq4a@H;zF|?Qu`m>ye$Az4D7^* zt|NGMu@o^9P-4O-8PO-7ZK)YU6>NgXFc3uy@#MSHndPkEw!J zBgm+LrCKG?bv*zxu-YKA4uhbn3b1AzPz>R|M7S{sSox-V^P*8Z&n>YgR-71&wX@>s zBBwLYih>NRj+`_#`%xIJoap}g#J|GO_s_1RVQ3tLWnF)KP!_akKV^*)BP%eybUWvp z)bNJfK3d{K#$FU#l0nX1Y~c6AaGt;f>L9EO8c-^Q$}SR6&XHMx7zSEpj>VaX9VXOb z1*-21e|*5dTT3_zM{C_3Hw9LRD=(P;J@|i<;O~B{W{e(>oRTpdvpXa6kI}5ZNNlVG z{YQ?!lt28n;>$h8bnQH&>r4$Vu_TvZWjCcPyeLK<9P{UfkNVUo3W5ROnV%Ur2CNFZ z$APjc%g>OW82eP=^Nk6cBRd6#04%5T9_Gu)1%29t zyxVkcN%^NnRURqe!zNFW0Kxq#^_(zbW*RM8FZo#R(tQwsk zr0}~-FEs_LONU8?YmZ^oWUVAAEy_aZXI2 znq;;|uJX&?J}|Zq6G;7{@MUCYyJXE`Ae_ujvlO|HQj4rhzmp)!uF1U=I$l;VmFMR{ zo&u8ciPHoaSu+HP&8$o~=4z-rjeI|oK+TaK$5cgZ#RIyleh=F)+kr3&szIgaswWd_ zLDJDO*_D=YbF2|o{Ydi@?w%wD4^XO3L3y*RCpk>K_32qn`|>HS-inCDhGo8F;wbcJ zdcD*3raL_}AJDt;*^6*deF+7FjPgD5^`qogAqp;_Zr87TzNvX`UFRyWND9$@z4*1I zx68e14jB+W<1SC$t%41FS-hMVxt~$w;(ivXQ^zhm$lu-20TS5Im6^|`K8~GDEWqo_ zXG5*&zQX!j1;`Uyzw7?40OgoLmYLVhDoRVgZ)jV&7a@vVlHMvt4TX}2PD4qFXI}UY z^4B`s*MqcwIZwHqt6MH$6@49oFL$|X?ybO@5%P*pJga76nzB2tZd!Ff#MYyC>~9;z zyL%IzWF$GXj-Fm!W?vw)iUy5mOhxv3p_59yy66@#>2cq~mLDrs1x&6qu6}i;zFael z2I9NiH7~So_zj67MyL+Z(tZPMRxD_Rbwg&p)q~4giR3fv-+YtjYd56z(!griy_2#= zE$ldwu~dp>`+{a|OD zom?;q6daN+9CJkddTtDmvzSH(RZk-d!W|Ann*{axfia{csGt^UwNKSSj4oX>Qgoe^ zUU+jQcr8xP=3lGLT>O^cHhelvPy2<|Y#4<;Xj+Z!x^Z(TXPVAp zZJ+Iq#?)-gNoZ&3Z`r&Hq2rHgV)mQ~+sWbQw0@HuM%`De6;N%H!fyw*da}Lhf(!Px zd~M_6x4c_)NwS|-gExL({2P1wkkv2k?MZi zpUDMyelNRrW;$<0{H+qCb~#qj?MA8dx(4M_h2O>B2CG+CwW4EiZrT1&?LS~k952lxz9xsz zZA%A)(MNEEbc=3}HxxDAs4-6Ztl$vfH;_cVH75)$sK0bHfSqam9buDKwL;B+K3KE! zSh&xzQNNRnQE<8V$WpYIw`4YG^KN}laEl|=oP!Lxc)!!;$lJCLM;&m7SdC--9*%_= zO}gB-P&=~pm_whItdXuo{YIQ=g5SVcNcF`W%`?-*%i0%9x;1dng|8sIiSMJ{z_iRoJlR6o=|EOTd$!ocKXBraAN>?@XHX4fb-x^*yooJWF zM`DWuhj1l8mG+*#L)A6Z%6mz2@lLE|-NeJihKb=6I}t3nZ-e%_iKd7*2wd2TjqzFr z@I__vFG6o`TjZywVmIGN(mmrB%@X;RBITL&f(OKL*Px?-8}#gtK{;I7J*>*}k)Ng9 zb~A|Pn1KT&l}zmgm=9f5K=#NvI(Cp04Xv)Q#cIphf z-|hY}>$h29ba`1MzItu`lk3!16%X0@k(wGPi(f+N%G&0yjy8#Xafhb!?tpvPS(Dyr z%FW!)HZp8IuYJcJ!uX-t6d;bcMpsq~K~_|BB3=E3UWvUS^ii6}O;;k3sMf`*_p2rY zpD%jaB1fs*^7gMeu;mW#e^+yylM~W2Ai2Nl)vwzmR}U-T}}yP zE}YPQbAVGNMi+F-2MmhROh{}GBbOWdc!|$kES{JDq+s=(9-A3Ph2813{%3kbTNQli zt}}h7do5_Xeji#=e*?V<$CA8$23uW%+^^M>&V!sCQo&D4_oW0QL1Y}6n4R~J7N96j zWS3nZ{j>^w?lm#l*N&^j9n|{W_edBJ)<^RhCS&4~#^}rM?9~3i1G%Y1zZp#+Vw`S% zJRjO8N2^oroE6EMm8K;t8T$yg&^S6Wc4N6WJLl!xaVi+omjnTy&A(oBc5sJO{lr%w$Njd@&d`mYZ z%K3r>p@5kUeEqCihBqjMAY*WKL)g8Z8Jo@l|F_~!(*`l@(Q60R-ymiVFYD<9`dX&Z zw=5an!W);Jr}t_vBd}&Nuoo`EjnP>36Z>UH51>33zDXu!&AoRLvXheQ;QFy!=aVhF zQYZNKgpA&_2C*be@rV5b{>KTLOm}O~|ND$Z_TI@N0`$i{0d-Q^5}p9WkBW&2`@Epz z1y)=J(OAm}F+Dz2GFyy^umcERObAfR0*&f5)Jv@ah3L;^PFbKxJ-(m;p<4s0Ai5>? z2?u$!PAxDKu|idGtR-pr2tM^}Jfs>>wEFu3<%%2`XkBgF+l899E3ZP$Q$hRk%t(#z zC@+x=>tV>Cb~Merf*a`1(_=SLvVbzwJxTe(q)Yblz=UN$4sA6z-FuWv{pksSKf-SG zh_iQv2O%*okVrZ~K~M$D-_42_)>Jf&;X@kFuW~Cx<1OgkvdU^kT>GG(A36^qs>Y`S zQud(?yNz?a=C^ovvEd`_qxastke3Xg2-3?E-A5`4eYZ%bnqyd@g&=8#KQI5((o_$k zfK;HDA_MsQsFJ7&Ht5%Gq-&&eNGvPvr-T6&puDpZB5HRdpxXH8R7904hdgz-0L&1? zXsD36R0~?mu-3va6VG|cDb`*GTk0c<5Uy`LEs%jObm-2y#1HK1Z|_!^cqC}ZnsaoE zyjXaM*^L7r2dAo%VZ<$D!6q+lsdVG2u8*p8a=t4vYi0-Hc*$-C-AMu7T@E?Cfg=?A zh#5(peU?GI7#AI|RX&w|09t=;RMFMA3f$D?fms{&f=KK;-Mh4wC)~&2`U9b`+116+ zfZ^+%P5G#=1+a=0>qbm6jiaUv|IGT^JNPELEm;!)M)n6ZMKJ`(LW3)(m7#@|a{MuL zsz=Zn-L7lpNH1B3o-S_4e^(k>y4Jg$Aa&;i4Zy@>j)c=cAlg2Lk}+vv9t8ujC@D~4 zrBLprNj8`%QZwnEw=%D)0S%Y=#w1kmLce>xtgo@Q8L7HDzhi{mF;H@u8T3F z&7`ACpQoT-5gPF|w?%TFOX*j6t=;0*NDrd+eDVmFk4NO=)_O6H*cXiYPHzn)z3!wQ z^ZSpAE5Rb8D+qj@I!UiCjW|Hx0==asj~CFPjJj*RHfBo%AwV3Yv+psV^j-Zz z{%am6v(ZpLSV%YF>_gC@zMIK=frw-1WTz)H=w@3j3w?Kdnj?9%pC4Z5^n}8gAT(8= zyzO27ic!k2H!cj8zC_WrIgh7H72^6OIxM?2^Dw{2|tbWZo z0Qzqk4mcs)FCGgk+!7(3Ig;Sx3^!uj;7U;vNibB#ix~ae&V?=+P`bZ&ItHo_?|=qt zUCM^${v>y0iS8*)m&RwnFvYCEbtE7~_c?-}=}HIjGPKZvv+5uRPs(Bi!c%+i6+E3n z@Qr~g&l24p*?FDGH&#%Bi3a(n66)wGY!7%@^yq&&x;jqDWVvCN7M~$nr^mSn7g7Bp zC72pwdEfETZ;K65YI-0Aj|L~YsThz>=x8t}g&d0;B$zpq&MyiEonK?xMqh2hCse^~ zGk~F-$g7r4F5(~hzx8s#4Jh6nCjW<4t`k6hoQk*2H1wW*)q8ObtjjphkFJT%^NbZe z25WEufXIpos2CVH8Dx1SNj#&8z|^wBsgT`{f?qM0}v5G!QCzC=fW zUZHrm6OhvRQ~mpTEQlLqoSjx>K^A@)`gGX7wM0|z7$>n5Kt&A|Mo{;KRM?XRq)Ug< z6A^Zh)QoFWO@>aP=g<@B^~qz-8Z^%g$_jPA=+Qkl{dWwT=yr(T%%QB+&|QUx7E+tT z7fj*84!URY&{*oVx!8o;y)OjKvziWcU*2?qbjf_hnKj99hl^0WAFMg98{J$`T_%>%USar>tQxV!^0(X1y^?I+atNq8K0+wIYKYe8p0 z^0Gyf`Zk2;8(OS}t+P-oljWk?t@55)$t=3~tu3Ao^~Uecu(kyDr+T)3Vb63|THsS@ z=(43|VcxDIK9>r;Pe{W9(mf>^QY_={dO%wbYDc+aw4bdJqCi~3V0d_Vx(ors##G05 zGT-yJJ>1VE5K?6bMV#b6dx|EEgl^^~_gFpvBV-PAs36$i0`>k?n&s)U=L zva5g1U{o85^ffECF=(p|QO!IXn!{og3pb!rpAL5Z6L=3l5E1_Q{Z$Q+K12^O7+rR# zT8^q*>9+}wi8(S%nAr-HfrI`HdL$#E&j)kp-$}cnNl$k#?1A=;z;wv3y8)>!P)}fw z37~78ptZ~k+J=JuX96G(TQH2iN7s2g$%`G5LR^A``;`$Qe6v$2jlEMkr_ zOT9M@TX`X(5=RB8O#zqhHT(X7)bM%LVfX zBtl#GS(<5KIk|AG$>`zp&7r%h|fZVzlP9T0dGwAUn3$Sjs_WzfxlZtKO|g1 z)uk`+_Mc67lAB|yb*h25?mK+Z>fg0dg|*?UtI(Z=QZ`D^Y2d|e^aRhjGDV}?Ur61T zx)c+#{r=qYf-G7Lsjg@SqMoB}ootX5BQbXr*V@aYAV_=!)zNoQm71>T!|vYq14iwS zTA%WzMu7R2Td;k%7Bx2*rY;LHT{$vF9o{0C9{QWt+w zmFMpjIj3_&jYwL;VF9|kpUzCXt!TSP29~AsY;up^uyc>vjngGiwIDxn%T4YabZqI) z%)$oW@X&|a_}}C80%mJ8TZZl5>Q?2C<Yx=iA;80g&NN4mG4^oO> z8gtMF@K)kcRodZax<#4pYY;jou0)?F{&)2mVLbNFDlS_<8k_DgQVmyaP|;aayGDAr zWdY{-IhB<}#^^t}+tv-$(TM7MJU7PhzmK+tFQS-o!c@p)tmFNOUwNUWoPlVNwba_V;$*qZ2ZZN!P&?bv%k(2J;Nrfy^9bB?liuILP)M*bVFV^D6 z=fOjrZYogb=7YA_nd#^B(}FxOuGXY11|p#I_nm9vp`Isbsi!l-Q7 z?CXJ6!z94s>w*_hlkM)t`NE)9i|}e!p}M(yKOBgryqPjeSNXVWxPKoc_ zaf0~Y4BF$r2w?vX$pwzTCO4`IzC6jr2C9nRp1*h*4&4H4rv!KI_CTxA+Hx=6eEi+x zZOYJ~e-4Z`Se(?4c1Q`|Jro^2A>lgn2nBe726mU;H09RHi2;Fh!wBKP(Z3Je)`JInhJHip z{XbaX_m!*L`^`ap)Sa$Oy9PS2&7&u}{u=i`O{qIJn{cW?lE(eBOOa)bBX#u76)0(; zE5JU$oWx{lQKug=jN9mjJSX)~+SIeY+m&z$h2&B|Uylj_q%10cuFT#&V$*sZcH!?T z$vDCjl7qj2@i-Gw#>vU4Ou&#zGEt~$6HpZuZc)*lQPW=Dz5Hi)%l~#?v0FC%2OD5R zCvc3UKYH`{(S>HfEcN$E_Wu(ukuZM2v1#Ogph0+GTJlu%UJxy-^p`mB1078YokoAo zrr#Mbs87!4|DVdPJRHjQZAYU9EhEMI5+P*EB(f%C%Tlsa*0N_Ul+r{+R1}gW3Q?BG zmVJAr2uYKWC6Z;BY}qyRUH1&{ujBU}$9EjxAN)1*JoDVoeP8!^o!5Dt_oc0VP~;nY z)nOG?S64T+&CY|&AY$@D2pXglkaIor9 zUl)3SJP%=BH3I*td^&-?`)vg7#zv)3i z;}?_AN2Wjss_}2W&QJ7;0()1KavUm_wC`OPg*Tm7H3{}02_S#0z`P&!2y}dM)dZSF z`N6Dl>SB@_bi7jssU7;a%=*-SpX&!u(0s;Se!nB+FN$sF<2gbRtJmyZR@T|Q%hZBJ zi)A-*;-QXg9cadR1@BG^qatHIRs31Y zjBfxoog<5nYWGJAsmRt!OnkwY06IvuJ;ta)ekCl)!4!4l^D?uE-A66G(aRY-*AW!V zp&GedzZnO=A9?ls(D1Y|J1z7C7P5TJuYMz3U{jaM`o>Uj{Uv*v!vkzj;DO36+X}H0 z`gOM#J`|MaodSyYQK}cjixWHb;?^e}Oo*5dbcyaW&mOrSyi3+!s2OBmyVqMNVp9B z@r^__qF6CT5Q^InB&)Cwc8+GA(F=!D!Hze}O^A7tnwx_xZ>XC?!y=*@V1hXsgN#UT1yi>#Y8|P*#WO z9O%K-0VPzeLTu&6y`F2pK#l!(6M#jV0p!C({hlXkmF8M7I*0Vkfc!L3XR~>eQ@9)b z{!@kb!CkHiYO@}vKRJQr0(F@zq9@4TR=G0YZNExcLUK~t=Rpl%02PlVcqMMnVnnTqx-Xo8~0!R=jKk zyr+lC9jEIt7~rS($(Lhk zp9Ff7pU`H~2x6qlPX8`sbBBiYA-w039u>!y1c^JPPNkTcep%(=F|bgKMj0R#fz?IuJ9v4H*%vwqyd5Hj@kN@wTCGi zBX5IrckJJwm7%PSK65ThnaUcx0BEpyNNr#Z+Xd1(yD4XU^c3eFJPRTQ zD2vuV<1*3Z@+^rLd|G0@y}ng`Qo(qWO41+X0j^d+W9=1qqTVIj{%W>s^FPdIL_NV| z4Y`xHyfU;rN%h48fy=P_!yM@rP)5RkF;LgJ!gHqw~4um=- z(q*MW9X)wZ-Q%@^4Nzu+J=W{UeyDVd|1IO5U`-CP$zUtc?`RmXRsw ziadtg<$$Q%GIC&Eo##v-xSTbC-gpRFD?>`QY+K*hU^)$WZ$ln}98yj^K+lC4h8f+c zxrPDh&OS)_BcR@N^!mTg4IvxHa(ZzyAbef#w69QkxOMG-CJ!#C29XGj-+@H9ld^N0 z`r5nTfhAFwys&+@tPNot4A9c;fLh&l$bf<4Q&s2cfuX~0X6BT5n{vD@I7$@7P zple8ZKM2_ICx}Rcs5ja8Cs+tkao)L}1gHQl;8{|S2a8O$3!g^u%Bu^kdM*-mHZdx|i%@>4&u zG|0O7T(T49C_D0h8Vq8$x(_{sQUF+yB^3&q^mqV9{lZfXd+&uD*+GOIYwZirJR2-# zmaF^~I*(enpV3>JvDgY&rK-;c~EPvtP+4uwd^ z9o=Bp_i?E)ooc)V&wCg>uQEGgb@PF|7q+S>*_dX?PydnGfBuUj%Kn!?eV>BAyJJ1f zEWrDcm>57!rxkW(fGz%t(e(nAX_CYH_+k4M7>N2J8|`)Cvk!%U5*<`#g7ooF^*}x^ z=sCV_C4(Hme|hw|v`kdddIH6OuKeRBgu=L>0ubTtd~G1i1csYbw7~NM(87i2lgRXm znmk$6NNTA%w~_I zNCQsGO)HS<+C#`SDDkwNIg_`F?BvZisyx5bhEZWPf#W@p zWsWu|yKdOPUXIQPP@R3Fw{kl9C<98qoAFtB7CkP%=Esp#UCw_ow_cAievecjP>78X z1k#R0@JTTDo_o?4%Wy)4HVlhKHJPcl|EJ&l#P$ExwgGvjDP%1|3`{$*<^ER%DFfxq z9}dsl1$W=ihxfJw2gG1zxe}l+0`-jR7C^V1r5^z2+HL>9&2u*nZdh9^Vm9i;q>DRI zjTVqZ1T;@*L8TYbo#7XoK%rs>$nhYwe3l{r0{JGdQg`-6k@g%*QB)&9{YE`=o#4(q z*cjb3?Q2L!pSM%?(o_;MH5;DjfuxfU_&cd5n^!D?^Zll0IJGT)tS1=1Sv|oG*?J85 zIRX#*ucbZt5r|nDz(x?&9f<(Pr5u&UddrKq{C%+Q@IdP1LDJciz=!%|uNd7`mO`-X zz`d2x@~z8G`cMxWg#Lgk*9fasipJSDd9)$M=+{K2s#rU+vr7*I zHzF6rdmN+8ZNhGd3PSEpz*su3n(w(#2D?jhvsQ=Im29+87u{5Y=1%>7XuU&1FfH#* zX-L#pPwxYj!alVR9xJZT3YWgkGzqUq(r=7)iq2qf_n$K0g-h9C-@pD@3G~;q1*1(O z^kD8hJ&SfBVEqR=Ph}qE@ec%P&%3ObRq+FXu>D2DFaJH>NBOz5)%p(ARR?fuA^YK7Jw*O3^$`-rK^t$MkRQ2Gaw=bfgRme9$2(H z*Xz56GuQ#fSvr$ilYgRSw1vMA+(iDC$g;dhD%zI^7oiMW<`7c7B9Fd`zA5lNxNWUe z%|hq3#*fgkc}jsnv7wIx|J71iHnLbruii5DR#joPq}b?Dckm#Rk!((#uTAeBPa|Mz zceQG5@OC(G{O2KwdGd(qbMtjpBe0cWw+;u8nf8yv=D*{omhb$41}I(nWF&H!iVFDZ z)~ePw`J@j72TK{-s(R$LIA#0o&MoUJvL#;AOIzLh zSdmpIM8^!qy2H+`nvt_{PD*f2fN08Buhxqkm)Zii$68|+Da&d5LO0SNS|?K-JW`Ax zFiFB7r3`ly-7lUEksK*KX3j(Fm=#<940-75({b8jkQK!hq^dl(-@Wp?yZl#dPNq`8 z_b0@5@4tzKPC<(AjNMW2v(%+I zq(z>#Nnl>@Z#H++IwaN9kbld0WnQjY-;8I0utbnsAXHBl99ktENtlseFzowKIb!>U zsbJ!YtnOvs#+<09KGwkr2?^CPXMHY<*Yo!8q8o@=oNFvNrbwM^6~ed&sVXuAZ8*GR zdHJ$6K8wSNef0bbVPRonYpZANCeJ{tdowuFarCwE_ak9fs2k9tA&-#OYm~T1N`8vr zEM~~+_9k9*cFq7tB}KECL3!-#?G4kS4j(rS6q|C(xKoi>zhNNvzO4)l4Ef*;laZc2 zC9E=)nfUmzI0zr2YHMrzEgy*T;*Qb{EbOrukh!^?BZdl1rYe>1MFu~6Cit=Vf&7x3 zv~>HzUy5$ZIy!gac4k|10=m3%S*}HsCzZZ#GPI)3** z+Y6{6igao7E?_pEff!-DhrYPVDLFc`fQCPyY{$TB5>^ z>XvNU;Ws=K1`C0$VPRnh-MXX-HcGvT3z)!FLihny(s^HcOz;Gc=i={&u%(=-OKq}2+{V^K^7q2 zg8li8e`!Vkb!IiP%++OY$=T^PL%lh*TP)R&Nt;BdJ5WCzovGGq2<7f3$2ktz1iZ=w z8ps@sCWqZ8C!_j#K2%3{XjyKrGHPL8`5z17$+l9;9a;;}743dP;$z^z~Dtk5R=+7bUS3(YI_L^fa|`&zo{K;K@LOwr-z_269v*?GbGq} z^XAR4Tk4+MIY~&X9S697Po@sn>ytIi)8)|SFIhMRpS%z9q&W3mC*+16RKGfuAtWS( zOT6L*BKQUXlLGScU6(y@)$Qd0Of;~nT;oMdQffbY<_td`|KZdtpB+V2acxUEopmD3IUyTzKF5*5Xz<2^lJtG!+=| zJyoTTGJ2nW6lH;C|^^(M?W%*g_)`qQnj!4 z+i4a5;v$WS$_t*lmU_i@ZkO9h6eK_8f>7$5Z;xy~gKPaHpd1%L>2qhSO-uykuO$~2 z8d*U(>tkX}cZ@~l@6}&$(#AiAT1wNLU-DGR)WyAu?}s*fUKOw)3VStV;*+6~xJVhe zgO8UdMP?!rpBZ0qa+NZp2dVl!Cxhg2Jh^((H6<qE3u5u{@vEOit#p?|`>@-&(pM?kiK?sn)m0kNXw z*%YLmntA%Y&w2-8X^8#8-JG0Mk9p{}w~sRF6qjc-+IMxV+n9-78sl33@$xnQAAHnT#UJo^&tvN>@UM)o;hLlBRb)Yj1 zbPbXfG|mx|qVSa`DFY)6qGLFJy6z9wSBOdbKXEk*9&riJ6|%F%K(AOa1SFw0!4GrYUTii)Hq|6YbNoy@r^vJzLv^^2DiZMf?nHQKnG z&sK)t?NOhqvT!#R4v={Mp4x#wCBWrQinfmq?Nfd%+d`!^u`=-LZ;VTPJn>DT~F{oMSd`{qWuSZ4Pt0@Q24D zEH`&gcUM{bgm7jL@Xx_~u%!{YL5Bi2bK_Pxrct$mK&YAv-%H58NVki&76M=`{4*~< zIj$r9_RX8PWX&?MvyN%sb3T?meUVdQSDxEaj($qf_u{K(H4@Lw0^rnkad9cO=BPNh zFLY6WK#lx3&%D9RaV~p>Rg&zNSQ1!f65^W4U4>^EppmX%5eCFXtH$g$1h6 za)|hHvwTN-0X|@y`ELq@wx4hymd^R}`EynO_1o}U%j%qUb?*)i4Vh;YZPSUDbPTVU zCF(fb5IVlQ@Ca8E6pEVvA|dN0%3Q7grfh3{{fNS%B9vlgcX}D3**0GTVeCC0Ls>*O zq;Z2#={%BrR$e^rMO3nn-a`_}iJYiOIWLoF*el=#t{&^)O7_W6JFPzXGK#-? zc}%nvS^}H98^K(mp!88yvOiQ(n)#b@9(orVPri5|R^V}S)h30ZvlS^u9Y6G;YmRTge(dg9#_(9m>+$)3yaD9~GQts0dL6{Q~6(v7VsXj`w z;6EXfT38##^6l)RstvrNY zGHdn3ds%8Oz;hU37j1w%9&h=`OzID!m`Ru1EdA0-OaB%@?#C4Q$xQdT6{pZt6NfmJ0R|>k*UPwAj8%pA!`f{Lee&ry`<_ zE}f}`O7|rtvgx>~o9OeL|MmGz0?6;oTt!$xL4guP?`o^16-sIpg?)?8D)18y8@6G( zyHXVXSTw17tlC3mWi3@7pI3l$`^GdptR@95FIrtJNtE?U>B!Pv;nPJ>@^$E+P?BDo z%YFG+Q(wj9eVCgIIfK}a2Q07->8n|dP1CR40CaHSN zo_h_MW@TTaRgNuGt(O{W1TR%?`7pkl8CPv-$Wk4?XD^M}4dDq4h}v|BnD;RwBO~(B zBTf~&eI71eUU_Zp?FVB5_tnk-$iG$|vN%UMtHVIOhZy6mkh7DEOC%`I-a#QoFfT9f zVSImLcTr(s1N6+>1O5dG8!7R&J}X8ZFsPmyFM*Mjx->9lY$SbRQp|oKp#utPrbb3; z6&EgFE+cKr2PnbfK^LHe3F*7G9J)AHFR8Pidb=OkS(xlDz zMG}byGtq(91D;?)tXT#+^z_7hs5wP0FQiz>d3pL^ew0>KWu*b`pij9>CZWoF0t#0V zfFl6$=AUAB4-Ytv(k!1}&7RQN4^o&xMvQ>-$s%B_(F#QX3`EWWArXhc*aXsftMlj2 z+ks~n%O`gZ4lDXP{4}SPo>Vq%pD0ppjog$Cr-scmr;;Gs-dz6paphOUj0!5@Ez8;p zd{WO~Wf3M9@`7V$(6opU#Yuwk2$dv%Otijf5@Vy8dD55g(AbuJGg;t*X-+q-<(RW3+DQY$JBiwSCy zQ%COJ-4c5H_L*amWX&*Eil8!OIlDf6t?rP_ighL?eQtjj{rU4}I44iu8egB;l=&5k z+~`0pLB(4WeuItNtULt8c3z{kvY!q;uO2#MEa9xLZ&AfmEpt`Rh7%(W&2WAXWNv0A zpNTgb-NqqS%>O8rq>Ygk3ke7=&MeMj@8cvj(J3l`M0apEJ0$+-> z+}zfJIe0y@&tTm?>grjmD@|f&FB6lFd$_plSec#%_N{U6y~Ae&*{`ILQpcY^A)FGg zT09da#xE#%InAYQBb^==_n#akK=~z;nHERaX)|ME`(Tk#CLJUKk6W%P+_|)8&oq#303FDJ=uL-9Miv$c*1zsw-rLUzzl*h3S%5ZC zu%Q9ZBZI^Dw|zb}yLA{)4jx&t*45WH*~eHqtU?1q+lwmi7P%2*mYoKgJVClvweKK~ z`H5(6Bmyy2S_XUoaoZdfJZ2VY6NJyd>?s zDC2$gYGs@<^hR?p0Tv#Fy6Qv7MC1P?vP0n%)YC1{7En4EsbdFvYKNm2U|N;T?HO08 zVW+Qqi7yM)rcH|0v;dFDP0P473XuA6KcK$c={1r=U7ECii|CL-8B29_+FPL_tX!z+ z+0-YN(=J4V7@Sbu?DO8WYptGzu38fgr4+7<6YJ_IxL|+>RMGrD85{kp que; + que.push(p); // + que.push(q); // + while (!que.empty()) { // + TreeNode* leftNode = que.front(); que.pop(); + TreeNode* rightNode = que.front(); que.pop(); + if (!leftNode && !rightNode) { // + continue; + } + + // + if ((!leftNode || !rightNode || (leftNode->val != rightNode->val))) { + return false; + } + que.push(leftNode->left); // + que.push(rightNode->left); // + que.push(leftNode->right); // + que.push(rightNode->right); // + } + return true; + } + + +}; +``` + > 更多算法干货文章持续更新,可以微信搜索「代码随想录」第一时间围观,关注后,回复「Java」「C++」 「python」「简历模板」「数据结构与算法」等等,就可以获得我多年整理的学习资料。 diff --git a/problems/0104.二叉树的最大深度.md b/problems/0104.二叉树的最大深度.md index 79520771..3e2de930 100644 --- a/problems/0104.二叉树的最大深度.md +++ b/problems/0104.二叉树的最大深度.md @@ -1,9 +1,33 @@ ## 题目地址 https://leetcode-cn.com/problems/maximum-depth-of-binary-tree/ -## 思路 +> “简单题”系列 + +看完本篇可以一起做了如下两道题目: +* 104.二叉树的最大深度 +* 559.N叉树的最大深度 + +# 104.二叉树的最大深度 + +给定一个二叉树,找出其最大深度。 + +二叉树的深度为根节点到最远叶子节点的最长路径上的节点数。 + +说明: 叶子节点是指没有子节点的节点。 + +示例: +给定二叉树 [3,9,20,null,null,15,7], + + + +返回它的最大深度 3 。 + +# 思路 + +## 递归法 + +本题其实也要后序遍历(左右中),依然是因为要通过递归函数的返回值做计算树的高度。 -### 递归法 按照递归三部曲,来看看如何来写。 1. 确定递归函数的参数和返回值:参数就是传入树的根节点,返回就返回这棵树的深度,所以返回值为int类型。 @@ -12,6 +36,7 @@ https://leetcode-cn.com/problems/maximum-depth-of-binary-tree/ ``` int getDepth(TreeNode* node) ``` + 2. 确定终止条件:如果为空节点的话,就返回0,表示高度为0。 代码如下: @@ -19,25 +44,28 @@ int getDepth(TreeNode* node) if (node == NULL) return 0; ``` -3. 确定单层递归的逻辑:先求它的左子树的深度,再求的右子树的深度,最后去左右深度最大的数值+1 就是目前节点为根节点的树的深度。 +3. 确定单层递归的逻辑:先求它的左子树的深度,再求的右子树的深度,最后取左右深度最大的数值 再+1 (加1是因为算上当前中间节点)就是目前节点为根节点的树的深度。 代码如下: ``` -int leftDepth = getDepth(node->left); -int rightDepth = getDepth(node->right); -int depth = 1 + max(leftDepth, rightDepth); +int leftDepth = getDepth(node->left); // 左 +int rightDepth = getDepth(node->right); // 右 +int depth = 1 + max(leftDepth, rightDepth); // 中 return depth; ``` -所以整体代码如下: +所以整体C++代码如下: ``` class Solution { public: int getDepth(TreeNode* node) { if (node == NULL) return 0; - return 1 + max(getDepth(node->left), getDepth(node->right)); + int leftDepth = getDepth(node->left); // 左 + int rightDepth = getDepth(node->right); // 右 + int depth = 1 + max(leftDepth, rightDepth); // 中 + return depth; } int maxDepth(TreeNode* root) { return getDepth(root); @@ -45,36 +73,34 @@ public: }; ``` -### 迭代法 +代码精简之后C++代码如下: +``` +class Solution { +public: + int maxDepth(TreeNode* root) { + if (root == NULL) return 0; + return 1 + max(maxDepth(root->left), maxDepth(root->right)); + } +}; + +``` + +**精简之后的代码根本看不出是哪种遍历方式,也看不出递归三部曲的步骤,所以如果对二叉树的操作还不熟练,尽量不要直接照着精简代码来学。** + + +## 迭代法 + +使用迭代法的话,使用层序遍历是最为合适的,因为最大的深度就是二叉树的层数,和层序遍历的方式极其吻合。 在二叉树中,一层一层的来遍历二叉树,记录一下遍历的层数就是二叉树的深度,如图所示: ![层序遍历](https://img-blog.csdnimg.cn/20200810193056585.png) -所以这道题依然是一道模板题,依然可以使用二叉树层序遍历的模板来解决的。 +所以这道题的迭代法就是一道模板题,可以使用二叉树层序遍历的模板来解决的。 -我总结的算法模板会放到这里[leetcode刷题攻略](https://github.com/youngyangyang04/leetcode-master),大家可以去看一下。 +如果对层序遍历还不清楚的话,可以看这篇:[二叉树:层序遍历登场!](https://mp.weixin.qq.com/s/Gb3BjakIKGNpup2jYtTzog) -代码如下: - -## C++代码 - -### 递归 - -``` -class Solution { -public: - int getDepth(TreeNode* node) { - if (node == NULL) return 0; - return 1 + max(getDepth(node->left), getDepth(node->right)); - } - int maxDepth(TreeNode* root) { - return getDepth(root); - } -}; -``` - -### 迭代法 +C++代码如下: ``` class Solution { @@ -85,8 +111,8 @@ public: queue que; que.push(root); while(!que.empty()) { - int size = que.size(); // 必须要这么写,要固定size大小 - depth++; // 记录深度 + int size = que.size(); + depth++; // 记录深度 for (int i = 0; i < size; i++) { TreeNode* node = que.front(); que.pop(); @@ -99,4 +125,66 @@ public: }; ``` +那么我们可以顺便解决一下N叉树的最大深度问题 + +# 559.N叉树的最大深度 +https://leetcode-cn.com/problems/maximum-depth-of-n-ary-tree/ + +给定一个 N 叉树,找到其最大深度。 + +最大深度是指从根节点到最远叶子节点的最长路径上的节点总数。 + +例如,给定一个 3叉树 : + + + +我们应返回其最大深度,3。 + +# 思路 + +依然可以提供递归法和迭代法,来解决这个问题,思路是和二叉树思路一样的,直接给出代码如下: + +## 递归法 + +C++代码: + +``` +class Solution { +public: + int maxDepth(Node* root) { + if (root == 0) return 0; + int depth = 0; + for (int i = 0; i < root->children.size(); i++) { + depth = max (depth, maxDepth(root->children[i])); + } + return depth + 1; + } +}; +``` +## 迭代法 + +依然是层序遍历,代码如下: + +``` +class Solution { +public: + int maxDepth(Node* root) { + queue que; + if (root != NULL) que.push(root); + int depth = 0; + while (!que.empty()) { + int size = que.size(); + depth++; // 记录深度 + for (int i = 0; i < size; i++) { + Node* node = que.front(); + que.pop(); + for (int i = 0; i < node->children.size(); i++) { + if (node->children[i]) que.push(node->children[i]); + } + } + } + return depth; + } +}; +``` > 更多算法干货文章持续更新,可以微信搜索「代码随想录」第一时间围观,关注后,回复「Java」「C++」 「python」「简历模板」「数据结构与算法」等等,就可以获得我多年整理的学习资料。 diff --git a/problems/0111.二叉树的最小深度.md b/problems/0111.二叉树的最小深度.md index e3f9fce9..76cc5038 100644 --- a/problems/0111.二叉树的最小深度.md +++ b/problems/0111.二叉树的最小深度.md @@ -4,15 +4,12 @@ https://leetcode-cn.com/problems/minimum-depth-of-binary-tree/ ## 思路 -这道题目建议和[0104.二叉树的最大深度](https://github.com/youngyangyang04/leetcode/blob/master/problems/0104.二叉树的最大深度.md)一起来做。 +看完了这篇[二叉树:看看这些树的最大深度](),再来看看如何求最小深度。 + +直觉上好像和求最大深度差不多,其实还是差挺多的,一起来看一下。 来来来,一起递归三部曲: -* 确定递归函数的参数和返回值 -* 确定终止条件 -* 确定单层递归的逻辑 - - 1. 确定递归函数的参数和返回值 参数为要传入的二叉树根节点,返回的是int类型的深度。 @@ -33,8 +30,21 @@ int getDepth(TreeNode* node) if (node == NULL) return 0; ``` +3. 确定单层递归的逻辑 -2. 确定单层递归的逻辑 +这块和求最大深度可就不一样了,一些同学可能会写如下代码 + +``` +int leftDepth = getDepth(node->left); +int rightDepth = getDepth(node->right); +if (node->left == NULL && node->right != NULL) {  +    return 1 + rightDepth; +}    +if (node->left != NULL && node->right == NULL) {  +    return 1 + leftDepth; +} +return 1 + min(leftDepth, rightDepth); +``` 首先取左右子树的深度,如果左子树为空,右子树不为空,说明最小深度是 1 + 右子树的深度。 diff --git a/problems/0144.二叉树的前序遍历.md b/problems/0144.二叉树的前序遍历.md index c020cc69..7e2e1260 100644 --- a/problems/0144.二叉树的前序遍历.md +++ b/problems/0144.二叉树的前序遍历.md @@ -4,6 +4,15 @@ https://leetcode-cn.com/problems/binary-tree-preorder-traversal/ # 思路 这篇文章,**彻底讲清楚应该如何写递归,并给出了前中后序三种不同的迭代法,然后分析迭代法的代码风格为什么没有统一,最后给出统一的前中后序迭代法的代码,帮大家彻底吃透二叉树的深度优先遍历。** +对二叉树基础理论还不清楚的话,可以看看这个[关于二叉树,你该了解这些!](https://mp.weixin.qq.com/s/_ymfWYvTNd2GvWvC5HOE4A)。 + +[二叉树:一入递归深似海,从此offer是路人](https://mp.weixin.qq.com/s/PwVIfxDlT3kRgMASWAMGhA)介绍了二叉树的前后中序的递归遍历方式。 + +[二叉树:听说递归能做的,栈也能做!](https://mp.weixin.qq.com/s/c_zCrGHIVlBjUH_hJtghCg)介绍了二叉树的前后中序迭代写法。 + +[二叉树:前中后序迭代方式的写法就不能统一一下么?](https://mp.weixin.qq.com/s/WKg0Ty1_3SZkztpHubZPRg) 介绍了二叉树前中后迭代方式的统一写法。 + +以下开始开始正文: * 二叉树深度优先遍历 * 前序遍历: [0144.二叉树的前序遍历](https://github.com/youngyangyang04/leetcode/blob/master/problems/0144.二叉树的前序遍历.md) diff --git a/problems/0429.N叉树的层序遍历.md b/problems/0429.N叉树的层序遍历.md index 7dc76d1b..0b495446 100644 --- a/problems/0429.N叉树的层序遍历.md +++ b/problems/0429.N叉树的层序遍历.md @@ -8,6 +8,8 @@ https://leetcode-cn.com/problems/sum-of-left-leaves/ ## C++代码 +### 递归法 + ``` class Solution { public: diff --git a/problems/0559.N叉树的最大深度.md b/problems/0559.N叉树的最大深度.md new file mode 100644 index 00000000..8ead9f27 --- /dev/null +++ b/problems/0559.N叉树的最大深度.md @@ -0,0 +1,46 @@ +## 地址 + +## 思路 + +## C++代码 + +### 递归法 + +``` +class Solution { +public: + int maxDepth(Node* root) { + if (root == 0) return 0; + int depth = 0; + for (int i = 0; i < root->children.size(); i++) { + depth = max (depth, maxDepth(root->children[i])); + } + return depth + 1; + } +}; +``` +### 迭代法 + +``` +class Solution { +public: + int maxDepth(Node* root) { + queue que; + if (root != NULL) que.push(root); + int depth = 0; + while (!que.empty()) { + int size = que.size(); + vector vec; + depth++; + for (int i = 0; i < size; i++) { + Node* node = que.front(); + que.pop(); + for (int i = 0; i < node->children.size(); i++) { + if (node->children[i]) que.push(node->children[i]); + } + } + } + return depth; + } +}; +```