From 1e5a462d6148fef483a3ecda998d04e70aef55a3 Mon Sep 17 00:00:00 2001
From: CyC2018 <zhengyc101@163.com>
Date: Thu, 5 Nov 2020 01:29:38 +0800
Subject: [PATCH] auto commit

---
 ...64\346\225\260\346\254\241\346\226\271.md" |  42 +++++++++++-------
 ...64\346\225\260\346\254\241\346\226\271.md" |  42 +++++++++++-------
 notes/pics/image-20201105012506187.png        | Bin 0 -> 9978 bytes
 3 files changed, 52 insertions(+), 32 deletions(-)
 create mode 100644 notes/pics/image-20201105012506187.png

diff --git "a/docs/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md" "b/docs/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md"
index 1cddc018a3..e8e579fc0b 100644
--- "a/docs/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md"	
+++ "b/docs/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md"	
@@ -1,37 +1,46 @@
 # 16. 数值的整数次方
 
-[NowCoder](https://www.nowcoder.com/practice/1a834e5e3e1a4b7ba251417554e07c00?tpId=13&tqId=11165&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
+## 题目链接
+
+[牛客网](https://www.nowcoder.com/practice/1a834e5e3e1a4b7ba251417554e07c00?tpId=13&tqId=11165&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
 
 ## 题目描述
 
-给定一个 double 类型的浮点数 base 和 int 类型的整数 exponent，求 base 的 exponent 次方。
+给定一个 double 类型的浮点数 x和 int 类型的整数 n，求 x 的 n 次方。
 
 ## 解题思路
 
-下面的讨论中 x 代表 base，n 代表 exponent。
+<!-- <div align="center"><img src="https://latex.codecogs.com/gif.latex?x^n=\left\{\begin{array}{rcl}x^{n/2}*x^{n/2}&&{n\%2=0}\\x*(x^{n/2}*x^{n/2})&&{n\%2=1}\end{array}\right." class="mathjax-pic"/></div> <br>  -->
+
+最直观的解法是将 x 重复乘 n 次，x\*x\*x...\*x，那么时间复杂度为 O(N)。因为乘法是可交换的，所以可以将上述操作拆开成两半 (x\*x..\*x)\* (x\*x..\*x)，两半的计算是一样的，因此只需要计算一次。而且对于新拆开的计算，又可以继续拆开。这就是分治思想，将原问题的规模拆成多个规模较小的子问题，最后子问题的解合并起来。
+
+本题中子问题是 x<sup>n/2</sup>，在将子问题合并时将子问题的解乘于自身相乘即可。但如果 n 不为偶数，那么拆成两半还会剩下一个 x，在将子问题合并时还需要需要多乘于一个 x。
+
 
-<!--<div align="center"><img src="https://latex.codecogs.com/gif.latex?x^n=\left\{\begin{array}{rcl}(x*x)^{n/2}&&{n\%2=0}\\x*(x*x)^{n/2}&&{n\%2=1}\end{array}\right." class="mathjax-pic"/></div> <br>-->
 
-<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/48b1d459-8832-4e92-938a-728aae730739.jpg" width="330px"> </div><br>
+<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/image-20201105012506187.png" width="400px"> </div><br>
 
 
 因为 (x\*x)<sup>n/2</sup> 可以通过递归求解，并且每次递归 n 都减小一半，因此整个算法的时间复杂度为 O(logN)。
 
 ```java
-public double Power(double base, int exponent) {
-    if (exponent == 0)
-        return 1;
-    if (exponent == 1)
-        return base;
+public double Power(double x, int n) {
     boolean isNegative = false;
-    if (exponent < 0) {
-        exponent = -exponent;
+    if (n < 0) {
+        n = -n;
         isNegative = true;
     }
-    double pow = Power(base * base, exponent / 2);
-    if (exponent % 2 != 0)
-        pow = pow * base;
-    return isNegative ? 1 / pow : pow;
+    double res = pow(x, n);
+    return isNegative ? 1 / res : res;
+}
+
+private double pow(double x, int n) {
+    if (n == 0) return 1;
+    if (n == 1) return x;
+    double res = pow(x, n / 2);
+    res = res * res;
+    if (n % 2 != 0) res *= x;
+    return res;
 }
 ```
 
@@ -40,4 +49,5 @@ public double Power(double base, int exponent) {
 
 
 
+
 <div align="center"><img width="320px" src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/githubio/公众号二维码-2.png"></img></div>
diff --git "a/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md" "b/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md"
index 1cddc018a3..e8e579fc0b 100644
--- "a/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md"	
+++ "b/notes/16. \346\225\260\345\200\274\347\232\204\346\225\264\346\225\260\346\254\241\346\226\271.md"	
@@ -1,37 +1,46 @@
 # 16. 数值的整数次方
 
-[NowCoder](https://www.nowcoder.com/practice/1a834e5e3e1a4b7ba251417554e07c00?tpId=13&tqId=11165&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
+## 题目链接
+
+[牛客网](https://www.nowcoder.com/practice/1a834e5e3e1a4b7ba251417554e07c00?tpId=13&tqId=11165&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
 
 ## 题目描述
 
-给定一个 double 类型的浮点数 base 和 int 类型的整数 exponent，求 base 的 exponent 次方。
+给定一个 double 类型的浮点数 x和 int 类型的整数 n，求 x 的 n 次方。
 
 ## 解题思路
 
-下面的讨论中 x 代表 base，n 代表 exponent。
+<!-- <div align="center"><img src="https://latex.codecogs.com/gif.latex?x^n=\left\{\begin{array}{rcl}x^{n/2}*x^{n/2}&&{n\%2=0}\\x*(x^{n/2}*x^{n/2})&&{n\%2=1}\end{array}\right." class="mathjax-pic"/></div> <br>  -->
+
+最直观的解法是将 x 重复乘 n 次，x\*x\*x...\*x，那么时间复杂度为 O(N)。因为乘法是可交换的，所以可以将上述操作拆开成两半 (x\*x..\*x)\* (x\*x..\*x)，两半的计算是一样的，因此只需要计算一次。而且对于新拆开的计算，又可以继续拆开。这就是分治思想，将原问题的规模拆成多个规模较小的子问题，最后子问题的解合并起来。
+
+本题中子问题是 x<sup>n/2</sup>，在将子问题合并时将子问题的解乘于自身相乘即可。但如果 n 不为偶数，那么拆成两半还会剩下一个 x，在将子问题合并时还需要需要多乘于一个 x。
+
 
-<!--<div align="center"><img src="https://latex.codecogs.com/gif.latex?x^n=\left\{\begin{array}{rcl}(x*x)^{n/2}&&{n\%2=0}\\x*(x*x)^{n/2}&&{n\%2=1}\end{array}\right." class="mathjax-pic"/></div> <br>-->
 
-<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/48b1d459-8832-4e92-938a-728aae730739.jpg" width="330px"> </div><br>
+<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/image-20201105012506187.png" width="400px"> </div><br>
 
 
 因为 (x\*x)<sup>n/2</sup> 可以通过递归求解，并且每次递归 n 都减小一半，因此整个算法的时间复杂度为 O(logN)。
 
 ```java
-public double Power(double base, int exponent) {
-    if (exponent == 0)
-        return 1;
-    if (exponent == 1)
-        return base;
+public double Power(double x, int n) {
     boolean isNegative = false;
-    if (exponent < 0) {
-        exponent = -exponent;
+    if (n < 0) {
+        n = -n;
         isNegative = true;
     }
-    double pow = Power(base * base, exponent / 2);
-    if (exponent % 2 != 0)
-        pow = pow * base;
-    return isNegative ? 1 / pow : pow;
+    double res = pow(x, n);
+    return isNegative ? 1 / res : res;
+}
+
+private double pow(double x, int n) {
+    if (n == 0) return 1;
+    if (n == 1) return x;
+    double res = pow(x, n / 2);
+    res = res * res;
+    if (n % 2 != 0) res *= x;
+    return res;
 }
 ```
 
@@ -40,4 +49,5 @@ public double Power(double base, int exponent) {
 
 
 
+
 <div align="center"><img width="320px" src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/githubio/公众号二维码-2.png"></img></div>
diff --git a/notes/pics/image-20201105012506187.png b/notes/pics/image-20201105012506187.png
new file mode 100644
index 0000000000000000000000000000000000000000..98e193dd3d838103e7b1adef48b9cff61d719897
GIT binary patch
literal 9978
zcmeHt`8U*W*#DF)NtTk72_Z|_V#>Z{Ys!#pjWuOLjBG>ptq@s4WE-LeBV=bnp@_j?
zVlcK6BV(6+``&$?bH4w>bI$VvGiT1c@44UCeO=dUx!y1C80w#7J<ke(Ku*GM>fD7u
zj%I-O$t+CZzjRhTKLjEOf$M0QKFwMfTfkIUl9`t~Di@dB%^*dPyGQPY-2;E`j=~uq
zFeb8oWfeK2c{$M(QgmNKpdvDYHHNk6AjAcgO?T31p?}<*AC|enq6HR)KrZZlb}9Ss
zovP@uf4>OnJ@J39|341Bv64h5RermGYgkL(NN(M}Y6}JkmiH(^P$+LZ&@iGo)SA+`
zf&UW0(wg{;lVTfJFyqJHQ4zQ>00|Y__!nAh3vS)N2M318R4%SpIA;r6;iug8yh%&D
zaZ6HZw=c(pJ0L}g6;6s!A@MoRT89i={hDnm>hJb8+yi==>s2Wo24!~%ISZMDI`swK
z)iv&Qg5~u&=^#_VVpWzU=NTA6AG#+#L=Lvmb&V69Gg46Jx*y52hKIURaUBjf%F4=8
zaDT3uZ(e+Ee=~jx*3?7WbG@FgN^+Lv{kK$}c<IL)$a10Wv7H*Mp)og%m#s5%$3adj
z^mw)>G|JTM5^3$atpXxhl|*$`x=l_QA0NM&in^8b%+##$_ndlGp7`v<=a4GfGKCsc
zD#`(Aj@DdKWDg1sPC_B8?nz456O1H?av3CA3Qi&&2T$(!{f=i}mQ8|Kk?nPI(mYpp
zt;3Z$U5iuj`!mBcx>`9oIVvU2&KdnA5=T%-$WmbBC%4$VFDpY~vTV+Z(8Xi(SlYE3
zs8{YOT`tSi0G>#DzpgU#D{^f4D@X3<z!1)={P}0jyPZGUEhf*OK#U!By<WUv$)Kpu
z8|lE?W|(Ng&4@zkmC^^tc`-I(LN^l0M<zCX`+1@dEc^1r@fZFU;4j0IbaaN8gJP!M
zv`t;zZnCSH&&0vOnW2!d9Fmok7@PKaHl}yttd{aWarUykr(fh1c4f=6F$i~sRY>NS
zmC5wOO4$BJ9~_NaT6%KV>@^Ibg1;@p);jVq*2+D)(8rH7a=BHiG1A`EHBB-84~_OO
z%&oHVmbS*+)f}((EXfQrOG`3b14{z4kyDEA#5;S`@0h)Yw!a;CtQ-3+Trb}kUF^-R
zi}Lj|<_0m2AF)HG_IcL7gCRhu<q*lHW<iAJryfu;g>v?rhXJ89jZ)w^!ju-y(=E2T
zvSNI|XY?fzbxtW>J4xiV)Mb!2C?t2}MTwXjvEP0bYAFY<;ZHa?Ajh8$4YvvB(k*}S
zzoz+d>vCO!|H~&-Y(5GJ(hPh(x#Jnw3>~%8G{JjQIbPcXN@=niYafVWpJmrDg`w@n
zWjvs1Qm?Zpu1Fqasu?bAZ*Q;HK~4#OH<V6r$Pk_OGmNxPwC7C`ISzIM7U$cH*8jFW
ziKV?}_~lBK_G&futzkZjZSim9(GiKhDIVjwFc8LfpIURTjB<nJB3mmb9v}15T|7x-
zcuP&_RO`==>vCer9ewl)%aUVU$H7rzY5E}t{L_B6ZWaf-7@M;-=qG#Q56U@pM9hoL
zicy^v){B&fLp4&-v+wqq7Yqtav~(UQXJ0>v$2l{n$wS$n=ZWiQUx~D5q1L!)R9coi
z6M=_EKbul4N%MP>B*Il8sbEVA7X-_N3)U@Xs9mpeQa|n{C3M4uaj&D|!+h%Q&dz21
z(!mP?XhL;tUhcG~pZE9^WA1-FAxXp-+HOR~e3MGkF&!*_E%Ks8c63WEIN>nBDLp0+
zs`gj|VY0KgCxRf$@)ql({h8P=92#@~J8D@rtDGy=b)Wypk3PQjH*IINP|Y?=VBGtq
zO1yTYeedqB%4&+rGtD))>65!Gu(#qdtB+bZF4mxzpnQSl=+kxXiC*(7(*)@f3SG`(
z4q1q|WXfpZm~#tlpJ$lZOz3Issd&j0apYWN`HCj%n2G{Ny*TUngm!&Q`dMAAwe7u0
zhG%pFr~$71_eeF%9&g^rzw7H}nVXi=ial-XTs={mrzekhR9KG}ZcOW~2B6&@BO*dK
zJfKniupok9^6ZmLPx@VGy9oU5!u82b_Js&ZVyALCdgbfM)}PBomdRz)qdOn7Oo9wJ
zztWZi)is7L+p78SOIf@MU}ewN-%}@9Gtsnjk1zk;U`!75Q0Hz~o?U+!4xQL^iRf~q
zS9Dgq3=R%{T&uys?_6n9|IV0t|CP&}p=fg4qQA5@<Cx27r|XOg1>WhW_bs01B3yhi
z^$Ff=+`3wJc6K`6b^2w51b(TZCLREVM)5>G^h5)wY*5V==ud%9R6-KBn?A1uL_M>=
z$COUZ`BO1(4i0o>#e>{TzZw>tfr|?PoiZ7N*P7XItn+5~E+Yug-#L%G5e{-qQ=($e
z&7HdtaNxz-EM=##czn+3=%@rXtYBmvP4(FhPDM@c;+&JvR28YqyW!BDKlmB0>#y5>
zjs&Bh+1~^eb`Z?1t3Ppb6HZQ1B?({Dk+E4DK!2bsBSe$4dAJtCD<z9-3@6@dni!{e
z3T!pmQPJmh`}CB*sy9e$al(8CG)!I;1@*(EP83pW8Y_e9c^+oq-r+C*AvAfgyOA;3
zY^~x}lp0;*ANLOb4oR=gIaW$uAw3V`uP(032pGkgA<fKowzsu%hhMvJ1Vj-hE6#i8
zRxyo6iNK%XoFA0mOF5K*-$iCPl;2}%mF>K%TRHrpMu%PCY(v&%Y2Vh!R(tet*0%?J
z1P7ipj;jc-DSgWN>ehTk6-(O5xv4ifh6Sh>g{mYXx{KOhgT9(=_zl!Pecf`FAnk24
zfsD@+zmfEAWJxfuV$?WEBo2j)Y<>Ht`w=rmiRAT`PPk)+aTNFtike}IIv!~sz3y+r
zuip^oXSaNC=GW&_TB)cD)@~Rib)t6R&8j&Kv}#qR8e-O1<=lSRNw8nfhwkdu#@J&=
zyW5);-Yxh)g?>d8n7nni+*Y3up>OQFE4qHL>Bw0NvSW*CZG(J7C$=gKX=@aW-%*+@
z-t8f*tI+h6vkhHpqj1hQQc+<43N_c57j&w)KG6J{xD4DX(N=}{%YhSRW3(H47Q(d%
z#J8XBPu+KGi>9{N6u&#@h=9(^qFK8Vtp4{S_pz`$+`3y$GOMa*?Rf_m?Mh?)UyR@e
zEQy#SOKK|DdcSI0DD-03-5sIr5}$4r*WI3-ntJ%qlJMAe(1#-6o1ic-XjMi@K_MT)
zIk7#Zhy`663Y^7bdDHMcUAeKL;ST396h+4O<P(nTpu7P_UxIsjr};zM<HiyzB*~kb
zn}%57Lo0Gs+=4h!uEe~!4Kryym?!Qemkv8Hq!z8o*1gS^B;HJ&_Ox3$xDpd?O({`3
zj6P6d=D^egM8G+xuJzCfwx7DRZDs%>5sAb;^4GziONGVL{%jMQ&h^&VYH5UF$y!W>
z4dprL8u6g2dJqk9Pu!A3(7%TOEa35}8fH<eujkZF&gk|v6TH)YDYAFdyw1nz{U%5w
z3dq@+WlOuLIL%gBL(3<mwewHDW=+*(Pkj$_w9)hvFI&AM2#vfL^TGFnr9qC9y!-E8
zG|bb(+767V8D{B=LeG*-iMh%|`w=_}3F-i_rwU2>Y{#j4(Dr{cOedtBtVFAH&S;$W
zSGPJ|73HxYYF5YQovjf`kPtfOORdh9t~e2s_hZJ__BNIVu!9wz^sJOF1V07Z?#(2f
zd#PqVCOKsE_>YqBW0OA;*G8fS9zT~r1$@j-=%SFcof$``{THwK*roZI^vt*`s!A+8
zTl4u7R$!}Ia|LQc8*4ESJjDVN$jK9r+l~&JZ04vfJn!CFAqn#24YiR23b9_D@tzx9
zb%*kcc+HM<>>iGWsUW=4y&#sGvgx#K_;z(x?QWqKjx$rKA1&BB&jVVHDnxn*@xzTL
zM;dBUyV76xgG8nB0RjdN{l4sMb!^Vs7q-^f1r>Z<gIO9z-`)arxcz;E&aRkr;ml{O
z7yIIsE`D9EGrGo~0+Fe3%6k5-RmFI1;&c+g!C|lZ69w2!YopUW5#UIV0JQ0}o}vZP
zq?nXI65N*+r<*^{(5oDNi6cuiHZ}DJsxMuNnt$_0`BNh9Plq3_mw$<Zlelq?IRn7K
z?<Hl^H`!hhnS-qr9|jqkT4dje$2e76s(B~YFT4rUQmiF}HETjRCi}J6`xd(8PPJc+
zYkvqJ0EV~{Tlo3&=VVDD$ZU{FrSv44-*o6(X;Z64>1qxG@>i#k6HWnc9-+R5<-6MX
zUG=>ICXjb@|Kc!vK=|kc74m1FxBk-J2;-FG@Xrqq_1w<r<qp4c*&J&{3F@zvdjvl+
z!J65`b?CRYZ~F8Ip{KhTwFE`rb5$%pnR{Kgxkn=xJ%VSNMrm^gWmrdeQkDAB2=^lm
z@0Z8>RPUASs3nOkT;Qy=EHP{{G7wERU-vZHR;q5Il{2hw`O3UrI+*=e+%)`lI>KlX
zOB=I3;XvVuWdwB?$8%v(sO(@Ne(FvJ4wl)i>=LA!lGCw%_Ggo+6>Y>j6Eyc%7JvL~
zi(zqIGjbYw8MqQlxhX~U`fH@kpi?0XaVm#O)r@wjD9{2&nRZPl+D$)<)$MA^6XkYx
zc1G%7tkMx)okvGA|5HHZ_V)HR`asqPLZ*HyD()Io-~|e)qTt-*>}n^#J|OFQO4k@U
zAGC|fo4NmWGw4``Z{hi&`4f<OCe$@qiJ0&TNtZJptFwt&%mpw;YgL**IUuXmZ`ShT
z6Q#`<(&w5m(bb$!UKFJaAZ(@-r%ygAzX!w&D(o>CMtoIXJiy9)a`YMnLp-N|uYV4X
zMg;zMcbB?VudN`fD2Xrutw2Wyh!A3C&^pe};=2mMBxZ_tJH@vUaVZSP^Rb5G>@I8N
z6Edc8zR}4tjUZS7=uDj6-;E7D;<V>dmzpY-lHV<aLh|@w_5Xds0O6=>xmKy2Heax0
zSuM@ab=-#Ha>9~~t$&uo=m}dApxK)zO#kt|{HPLHA5u%#8L8RtU0-2GmQh+{UmCI&
zTF_q7rUC2hF_wZS$s#H@c1aSP92Bysh6&3>5%?+4)DB5&Zv`sKq#s@AnQ|pWQo5UM
zrM{1E(9G#m*emc;S~@KiA4WDK1Pi;@BG*RIxgBSpwu#*wW6bWkDHP1j0$Z}<Ja&T&
z`?=f1(t77!YPE+}71|2GWQ!~}mUg^V7OVVyJ_1c`sgUH-eYG4EA{_l284Ydcvgc)`
zV0<6F3EORnXk%9scMrWgwuELnaxzN$BD~+2VV$jYh~@F{<7zzmPLb^{^+0uXKZ#^Q
ztmyQTCwYONOB6Z2+0Ng<a#6>w<bBYu26-|}B1Q<r6P9k^b4$e?(MZ_DzM%P`+$Ox0
zb!)$51DV?od!HwMld_(@D4;GAeLxsy$9!vE0jvs!ARZm2QWfJLf^Pxkvehu8-#+#W
zz436p&PhHuYRT$9Q6d)T8mA}B8lG!y1U9l1)mj%XZZw-q_fPj>9wShp2s1MxL-?B0
zoS}J-e7!@ER%jEH@WPCAVz&J)`lU<vl;Vum&mk`vHth=Z?(D1X3Q3bx6o8LE1jECF
zePMVKrvrb7M^?dQ(-4F&pOg8*l|nvUF3`#47$FdM`JQvG!bDFcC&tOau^>O;Qm?ja
z6?kw@K(EFLt|5(j=Dy#odU^x``EqGAD7U_hniX-&jXxo8_WsEdeX|m=n1-vsRH%Cv
zbsR<~bSoA9-h3KNaZE-bl~jPhV1a=vCxuGSJFOasrK0-o%MPWlh{QhxA$36V#OdXa
zgtt3qfTXVu6J>r)oUX9$k@w*Poh|LK&B^QE!YReC6@K*}ZCXmk<5Bgg6pDpqi8;`8
zK>mTxB#Gco0b+vB__Qvic{;NS*8kSAk$B_yWjZ@L8ioiM`2ltSscR^Hshp4({Yw$Z
zV=<x}Xqf^60>2g6QAqQe`;qoH*S52Ot}S?+>nHv+aK=+c*EpplJxN4uH01%f+?^`T
z@5H04g{2MnM0hPu(r99r;1w(9@;=}HlYuF7K)Pia?N|doNZtct+ewx;rHIi3s)7D;
z5?oC2SkaVc)AocG)O?imrMq$5^RP)XAUEs?@?cl;IcyHlz!i9^I?f_j*0=z^Ke=tK
z+G{|r^0@px=zWaa#XE%O7)1y5oHVKYNP9q<-bft<-zxoun^6w&^Sdad?7wKSHT6H%
zM4mVZ4X%X&0tqc9q$_6(WFd~-Ecls9OiMcpxNZIF$QNN_v+57akhHV9T&1xP_cS-@
z-XE}&HjQGdK{@8dXO3U|?g8}=2+($iI8Hrg<Tdb7v**oAV}>mDn|1OH3@fyfN^X*?
zYK>_&j6*o*yBRoekU>E~eE?+{wL&wwvpzWMm4G0q=a3(i3nEkh(CM)TWRZ4{?==fo
zKK%IyU#Uct(t9_v3>=UaT7FoNuYXrpZ{VE!y_LU39D$57c?d_}<a~8clBaqJcp&Ar
zWik!snIiDZluCNeu<PLV&Pa`ov<6FfPZ~$UlSbPULZ|$&Pa3eadRexIw7Oppdtlw!
zq%Y1ma?wY00Bv261rT^X%D4ZBydv$$<fBoY+<MEB&d|a?Gr&C=VCW9`s&GN*6g<f~
z0E0Ee(pq5MpT;)Ge@p=v&ZeNLZh_)3Hf_#VZww29%EnFZaHAZpXnxW#L~*0-YU>fM
z0bBXAvCrQah&GnURJC%j0)7s(yLs^doLG+jv;k$TJ9G9VELnsL=L}kuf^Ck0DA3w@
z;?+4;CFa#ef8B@t8>OutU~E2b%&ERsB|R^t`;JwZp8d^ov2&_OBJrZoMdIou^Od(!
zJh3D62b{;kqkT%>&)@l|k!}Dadv@uSDo5%@Tf_~p^&0fg-2-Fd&#Bx5{;Q#-*05ev
z?)QQHkM<m-;YmP6(BwyTqXxUkfM42vnthAKIs1;`0aBkAIM}#gG{DcQn1H5MxA(eU
zr+$i4dfqJivJJ%%rF|^Z;>)hvCq~dI0sZ?ZNuS)822E43r#Xnt{Y2?0Cv&T(u2i1l
z0X$nIUX0gQ1v~N{5`wpJ#x$#XKaopkL6D_4g5XIk?H)j3^U(l7Z^797RE%e7T`ok8
z)Qk;%Bixhx>aAR|K$zy~c02)#5adinp<QX~{!)PxXH!wfDVPL8>a^eZ(0(?p9vp?^
zdzs&U(jssIoo6!uDDJ81i!4X4rW<rFF3Ym%LfeH%Ugef0I^4S8hpqy{!=4u?tb9KE
zN0sTa2os>CHVhQw*Qz#$L1KV_XO4SwNRMOOcq83yES_S;09w@DF%&(05uUWHYNQx1
z9NBu&Cs;qR*iUIR&$noytK?vGA4lJ5yPvH}Qn0)|B3&u*UFn&LJyv4u5=*$;@(e_V
z<)}T?#}DeR;7H}$alNimRDGGWCKs*v*G7wz1(;h8y)W)@4tl#S`w<Ukn3WIGyB|Gh
zw2c*k$1lG96&l0m3-l2@DSFt|9A}Y^+lIB@ND^tmjIB0peF)pQWc|JaY_2W4)5wkF
z`O%JbVsA5UKFST4NqvGY*E3)5rUWo?>kcbL)x9o`6J#-D^{iXpOG!-)Fds9|%CYoi
zgPsm`$?&=BA}qjw{!Dwr%&Ew+lo=$|jrPCsl+)O1Z@JG~)q|C9(_iiJx9ARsyEQYH
zV}w8$j&`4TTG~`1X5LM1pfxmGwU?Nuu~py|pzNY_>5TSc83jyAquHAVB{T4(6s-%j
zuz~3sV3r*H0wOH}7b^kobDVHL9ZKzIEpSQhcNY)MGAz*7_&!_{^l`m1!)m{fgMak<
zH)`pQ!qnChsk@8q*fLAtgc!&nOUX}`-*-V%0mYZSH3{Bu>nhbX{AUq*LTQET?*F`)
z_loiVsJnUq=|878diL`Rv8}`6e%K|U$JOY-2@U^U;P(KVo2@lhG2Y4u@>7u=o@8pp
z$?taJ?Chp$+4?n6qFhYg?Boh?^PDsEbV4e_)P8;NB$OsQXT0f}Y~ge|>J5-==ioqH
zSyS<>9n25^9T-3pF7nzbOS}3ck!e5v_s+MRGt|uz;W{Ej&w7rHZudbS0bs@ur&kN7
zq9Y8bH4-s-`Htr*C1ce!G>XJy^3|E!l{QDgEwHr~W)~I1fmGYwy&cg!IoYbSKJ<I)
z%%nBIRAo;CSxVG(EyK*oOJD&v2YcST+`8QDD|)w^<!cfFHpb-5SG{px9>P_t#0cHx
zevi4+qBY|ncX47<Vcg{t$JQHN_r9|0QqG9xCYoOgYPgSfrq%%Gd~0pHVV$<zd&EX7
z_qfp|q8u=U8%OUbY1Wz7cD>cCJm2sGvv6vkQ527_VfO@jMKN9iLC!X>TF9kYr=qTv
zZc5!Grv!(DSTXMC8pD{@5MD$|5%7{YxICb>iwD0kKxN3V&u&|f@#q>ata#l@+ura!
zWnBE@TxjY3(#RDEsX(0dpQ$c#9N5`1GBU7iL*j`Cz`y5DfU{_UF#(-^rTbB3{wD^y
z15(cenrzRTU8DL4si&c#0VWDYJM-=B%)osGm<kXH^f<YpsZ6#f9KoLnYB71a!0PIU
zp&eCpjdcLaKqZ=U>rTZ<v$YP|)Y$U^wI(*P2>{DwsxePodDzYjFp^sHRB)4Q+5ooz
zsq1s9Dvt}AC{T<iekOWkWluTU<&sM7G@yef%1+Ky{&UI8%#R2#r^io$ozi>Mw}8vp
zDr>p79x`?a4n=Zm7|bjFV=gF7Qu{Hx_CY%4T(1DZya<1*2A$^2is5j?NTmV?Pu_;&
zTy1Hbfnz2u%tgQ{G#S-$mju0VV%=+FnzdM|a!Y~>(W6@*css^K>)n##8*8eaAL-~X
zA+6=a>5+;7;}KP_n@J)<@T54dud(0qYP{J)LTth?!3ni~CP9|ch#!xt<PuEBH_4b6
zVsp+sDIE?K#(`Lu_zaxHvmt1CCawPCKg;cM+N~nKldimaN|(fz)^Hf-%CV>ZWbNI_
zH?OKxg?7>}GtF1tlk5y?rZMH%SsxS=g0|~kq5PJVzCK^AbwvGous}6DhYH5e%?FY0
zVA=9}WEjF`lIvb;dZ`pXh{<CyGkflw!M8*~Sd9!mC?BeS>i!~~KuO4Utc$5#x_T)L
zL<s5B7!w<uiK~|vkb4rlp!qyjT44<O6qmOEKUH%WS=0R1o|ieqFxx{Eo-~4d3EcD6
zpYBuD07#d1#VGrk-H)ni3`>AuUw1ngC=#e8e*0%~osS0HshJL(FKatpW6QB+#a^Yq
zUTg=M9<BS8HbOC*DrbL{wXVl-ygp?KTzPVpr>I1`$Ky1=TlO0!W)Y>hbItrGk9HF^
zbGJp@F82N&zB}jc(&;1EtozIe>39%eLmBgH^fv}QecIr1LCuW2%V4?GO~mJksxlyy
zl0??;dVfYIk`=~Nsg)_bk>%w;HFM$d*uX&dT)P7QCR0k7Ra8Qe$uJ0uQ<l}isS)ne
zAv^;kg?opAs`FP0gI&u5OX)-2W5X72)ZnLn`eBz<%aYep%bIEY)PW8y!oeScK8Q6?
z^rxjGy(Z_}-G+R|`6&FV-vBiut#$4Z1X(&86p^V!>pT47@|oR+(i)zwi-H_j=UaP@
zR3)>ZY4OD?ao)~Zr#FFP^yJAC?qf%gsnxIK!89-^Fp!h$6`CqGUAo;gv86QLL(Tsx
zMHIUDwQpje?P^5m&ax}2XyZkm)0CyDn%L$vX?48>9X!>9?#b_>mxh)8^T~hjs)NM0
z=S|fpm{fHsE$}xC#?ky5&BitNiM!7<PfH6S$ZeTUnESWV&WaN&zE?<s>6I!ezxlo<
zFj=^DC792FQHU0&b;HJV)7QXp{xoQFaF<|i(@Gq9O?6c@K`)<6Dc-~_7F+;N>h)H>
zM8Oy}Npx0>K5bZ0uQM&e0~es)+DHBFA@6{eG^tcPCN4^veZ!SH9$>h-lpQd>3i&eZ
zT2m=WS`%l}zD2GIOd!1u;xLM8x}EgSP}IuFKQvOz=bv--(rQ-uNeg}OQT&A02lL{J
zfSbTu@nWGv<r}9ij$#6fw)>Sf*UXa-DRj*61u=Mk+m~#0Q!jg&f$Zy<-9G(#(s7@-
zc6r?~ONthO6W1b`*^HSP@EL@zZIz7DlkK+Jes_i|5q!j6Oz^qF{Non2Ws(LKprwJi
z9Oz9V@R6-UX-s*;ZPx_+e<Q_l*IH9(dzCd{eIiMy^rogJf2r11s$J5%*o6oaT-N-F
z&JovN{V1JXQpcQ!mtpZ_Q_KA5udyorR8)28^Umq=LHarw!FM7JxR<5z5s~U{bAYit
zRmFuI9`rpZ7nf;4rW#{ue|L6n<@Xhqm;RQR@MQ<)n|HmYm)**;3vfpOs{L7Ce{D^9
zKkN#IlfZaFo%{hb9GLyg?|qWFFnfA`dd|j0uL#ZZwpir^1j1DP?^yuF>(vO<p9haV
zYCj+Lv&k52g>?^7<R}<`0LWDP9PP41aQ|kF;yytSeQj#9JWG_-Cct13z^yU&tEJuF
zezr=&?T@SHyf4IK;`X|%GSOoHX--pa#&eNc#RD;b6ijS(z`8v@hM|x^1_E;gG|0-#
z>1#*3t=_yUpbzfr_su+=l+b(8a{|V3=F#E7foR@L)Dd-!kwBvi9Cy11`h<@$w<-5G
zI3*V-eRSV71lesSjBNxAZ!Er@T_K!94;3+(waALVlg<}lgm+HpA^xeLPKjN^`noy7
zINW#fZRUB>+}iiERuh{=0QC$D;uH`z6ylLbKzwIo_E*?$>vZo5#t8Le_8*y?G{nqD
z|8eXS?fuQnsB3(^r~6_2>!AFu+H94}fp&mmOjlJDs6K1+7^N}<U}+pd3jwAqu%CE#
zo3Hued5ZBytg!lLch(<tPFP$(619j$TB3a+XAfWq(&OVQRcduv9m27Bg+6w!M%fZX
zPvoh>;=!)R#0O+KH4<HN;1|zZzI6@sn!HkurwYsCfDiM0C|lYO3ENg#$+Dtd^&H@C
zwjU{|gUJ4NYS9ILDexYsb+6V!p?Nc6-issZ&++&;Vu{N&MX}JSSkKHweZ!WJprEm>
zAZ&7jvkgdNS+<;CFPavYXsK=Jf>BPe?wVKe)|P9Aa8~W1aLtZ~CYbtZpzk8_l=3--
zs~VEkO6DUys8Z+iT-PXP$0-%0wHg6dxfcgL5&9vy&xu;GqJIIfd-ei@5S0u1%(=+E
zq3JFqzfJe%sloW`W3~h4@sEjPZx?<N+>l++o+*O#{=varEN$8a<h3z35ESQ@Er3BV
zUMK)i7|aCY%VKJ_(?6X5U5y@A!4XGc2*Cc_K43<EoJz+@0Bcqb;YIt2U-SioeFkQ4
zrZCaJ@lUJ=#C))qqI15~MqHWL1Z*kUk>HdErdkE$9xE`j7e$cITaDorKV}(-PM_@B
z4C)779#i~OU0|6wtA9wy=b~2~l-?Sv@{@)|lY^^y;y|ARsh%gEmynPUmwBBQfmLzo
zECDS5(5{@FEj(GY*VODax9;1tw6xV~SvI)YK!h`_-6tJPP}jBt9cS|9Hr+H>K(RzL
z-=A7i(lJgk|Lpq&Z>F}@{HhU{%5=hXuwt#jnLTE313eXzATjwA+!5r?<SZ{)j7<TB
zLXrFVi7uENeLXz36u`mh+#ep$0@r5Vgmz$6g0hMOF_ms?Y<z{sr_hw@OLzZjX{Pzv
zf#ReSKtlqv5fEn7N761>9Wc!QnYkNtt2rdXy|>d77vY)yc<9zZHfgtNLC%p-N_LQY
zOCpi7RS{qgN><+T4|u76^5avzOQP_8y$l1+W7D63be=P?N%*ZBjTK#do_RN$&ws+n
zR?!A{3p+am<6Flk`N6z`JvxFo>9XqIs7`o4ULgrAk+<I-7^fcm(o%=iGDU<zl=JYH
zPe!$lKmLB?Z<vebcxRUmNrWXlxnBze90;IPU~Qe#5*?KU)9@GKF`XjIV8(TtF;4&t
zyul+TPUZJ<`A#h!t^F|Vckr?32*h2D1(u@&Mhr_68bUinlMnGV&)vY|B7oUi<e*q4
z6Z6D7y*b{IA({fcm;*2&lTOCg^9%nK23V7Htfb9-4X7R<+wb#1{3F0q4lQE@osjKk
z^!1%im%nvS+cG4Hy%&xvNFYprXOk}i=l4mu3b7Wjgylp#XE;!=bM40^@+Y)g*yguS
zD;gpfk4+8&{V}!jCR|W6@i?UMM(j*7&>&eh;j>SE2<v5Tv;+6Y&u_Sp#N>`vRf6;c
zL1y{DGbdFST*1(*a+uAgLG5P|tk3gUZKzk2@tGqK=_6q?r@d^_X4aIr_NQH$wA|g9
z*nmM5TEpq2u7q7ov{FD*+oHX}N3+M67}S)2r;0EE&+z~mNgx4pE?3^E@7TW!Y;$!_
jgI9=unCAbk*OkN7t~U?vr4Fe4+df>^P^a|9{qX+>9hx#9

literal 0
HcmV?d00001