なるしす さんの４つの４で１～１００を作ろう(以下URL)が流行っている．よって便乗した．の6回目．
http://www.nicovideo.jp/watch/sm27096518

・4を4つ使ってできる自然数はどんなものがあるか？を調べた．

・使える２項演算子は次のようにした．
$x+y$
$x-y$
$x\times y$
$\frac{x}{y}$
$x^y$

・使える１項演算子は次のようにした．
$x!$(ただし、$x=3,4$の場合に限る)
$\sqrt{x}$(ただし、$x>0$の場合に限る)

また、１項演算子の連続した使用は3度までとする．

・４を使用した定数として次のものが使える．
$44,444,4444$ (４を並べて使う)
$.4$（小数点を省略）
$.\dot{4}$（循環小数）$(=\frac{4}{9})$

さらに、計算機の性能の制限が次のようにあるとする．
計算過程において,$100000$を超えた場合、これを捨てる．

以上の条件で可能な$100000$以下の正の整数は次の通りである．
計算アルゴリズムを少し変更して、簡単な式がだいたい出てくるようにしました（見やすい）.

$$0 = 44-44$$
$$1 = \frac{44}{44}$$
$$2 = \frac{4}{\left(4+4\right)}\times4$$
$$3 = \frac{\left(4+\left(4+4\right)\right)}{4}$$
$$4 = 4+\left(4\times\left(4-4\right)\right)$$
$$5 = \frac{\left(4+\left(4\times4\right)\right)}{4}$$
$$6 = \sqrt{\left(\left(44-4\right)-4\right)}$$
$$7 = \frac{44}{4}-4$$
$$8 = \left(4-\left(4-4\right)\right)+4$$
$$9 = \left(4+4\right)+\frac{4}{4}$$
$$10 = \frac{\left(44-4\right)}{4}$$
$$11 = \frac{44}{\sqrt{\left(4\times4\right)}}$$
$$12 = \frac{\left(4+44\right)}{4}$$
$$13 = \frac{44}{4}+\sqrt{4}$$
$$14 = \frac{\left(4+4\right)}{.\dot{4}}-4$$
$$15 = 4+\frac{44}{4}$$
$$16 = \left(44-4\right)\times.4$$
$$17 = \left(4\times4\right)+\frac{4}{4}$$
$$18 = .4+\left(.4\times44\right)$$
$$19 = \frac{\left(4-\left(.4-4\right)\right)}{.4}$$
$$20 = .\dot{4}+\left(.\dot{4}\times44\right)$$
$$21 = \frac{\left(4+\left(.4+4\right)\right)}{.4}$$
$$22 = \frac{\left(4+4\right)}{.\dot{4}}+4$$
$$23 = \frac{\left(\left(4!\times4\right)-4\right)}{4}$$
$$24 = \left(4+\left(4\times4\right)\right)+4$$
$$25 = \frac{4}{.\dot{4}}+\left(4\times4\right)$$
$$26 = \left(4\times4\right)+\frac{4}{.4}$$
$$27 = \frac{\left(4+\left(4+4\right)\right)}{.\dot{4}}$$
$$28 = 44-\left(4\times4\right)$$
$$29 = 4+\frac{4}{\left(.4\times.4\right)}$$
$$30 = \frac{\left(4+\left(4+4\right)\right)}{.4}$$
$$31 = \frac{4!}{\left(.\dot{4}+.\dot{4}\right)}+4$$
$$32 = \left(4\times4\right)+\left(4\times4\right)$$
$$33 = \frac{44}{\sqrt{\left(.\dot{4}\times4\right)}}$$
$$34 = 44-\frac{4}{.4}$$
$$35 = 44-\frac{4}{.\dot{4}}$$
$$36 = \left(44-4\right)-4$$
$$37 = \frac{\left(.\dot{4}+\left(4\times4\right)\right)}{.\dot{4}}$$
$$38 = \left(44-4\right)-\sqrt{4}$$
$$39 = \frac{\left(\left(4\times4\right)-.4\right)}{.4}$$
$$40 = 44-\sqrt{\left(4\times4\right)}$$
$$41 = \frac{\left(.4+\left(4\times4\right)\right)}{.4}$$
$$42 = \left(44-4\right)+\sqrt{4}$$
$$43 = 44-\frac{4}{4}$$
$$44 = \left(4-4\right)+44$$
$$45 = \frac{4}{4}+44$$
$$46 = \left(4+44\right)-\sqrt{4}$$
$$47 = 44+\sqrt{\frac{4}{.\dot{4}}}$$
$$48 = \left(4+\left(4+4\right)\right)\times4$$
$$49 = 44+\frac{\sqrt{4}}{.4}$$
$$50 = 44+\left(4+\sqrt{4}\right)$$
$$51 = \frac{\left(\left(4!-4\right)+.4\right)}{.4}$$
$$52 = \left(4+44\right)+4$$
$$53 = \frac{4}{.\dot{4}}+44$$
$$54 = \frac{4}{.4}+44$$
$$55 = \frac{44}{\left(.4+.4\right)}$$
$$56 = \left(\frac{4}{.4}+4\right)\times4$$
$$57 = \frac{\left(.4+4!\right)}{.4}-4$$
$$58 = \frac{\left(4!+\left(.\dot{4}\times4\right)\right)}{.\dot{4}}$$
$$59 = \frac{\left(4+4!\right)}{.\dot{4}}-4$$
$$60 = 44+\left(4\times4\right)$$
$$61 = \frac{4!}{.4}+\frac{4}{4}$$
$$62 = \frac{44}{\sqrt{.\dot{4}}}-4$$
$$63 = \frac{\left({4}^{4}-4\right)}{4}$$
$$64 = \left(4+4\right)\times\left(4+4\right)$$
$$65 = \frac{\left(4+{4}^{4}\right)}{4}$$
$$66 = 44\times\frac{\sqrt{.\dot{4}}}{.\dot{4}}$$
$$67 = 4+\frac{\left(4+4!\right)}{.\dot{4}}$$
$$68 = 4+\left(\left(4\times4\right)\times4\right)$$
$$69 = \frac{\left(\sqrt{4}+44\right)}{\sqrt{.\dot{4}}}$$
$$70 = 4+\frac{44}{\sqrt{.\dot{4}}}$$
$$71 = \frac{\left(4!+\left(.4+4\right)\right)}{.4}$$
$$72 = \left(4+44\right)+4!$$
$$73 = \frac{\left(\left(4!\times\sqrt{4}\right)+\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}$$
$$74 = 4+\frac{\left(4+4!\right)}{.4}$$
$$75 = \frac{44}{.\dot{4}}-4!$$
$$76 = \left(\left(4!-4\right)\times4\right)-4$$
$$77 = \sqrt{{\frac{4}{.\dot{4}}}^{4}}-4$$
$$78 = \left(\left(4!-4\right)\times4\right)-\sqrt{4}$$
$$79 = 4!+\frac{\left(.\dot{4}+4!\right)}{.\dot{4}}$$
$$80 = \left(4+\left(4\times4\right)\right)\times4$$
$$81 = \frac{4}{\left(.\dot{4}\times.\dot{4}\right)}\times4$$
$$82 = \left(\left(4!-4\right)\times4\right)+\sqrt{4}$$
$$83 = 4!-\frac{\left(.4-4!\right)}{.4}$$
$$84 = \left(\sqrt{4}\times44\right)-4$$
$$85 = \frac{\left(4!+\frac{4}{.4}\right)}{.4}$$
$$86 = \frac{44}{.4}-4!$$
$$87 = \left(4!\times4\right)-\frac{4}{.\dot{4}}$$
$$88 = 44+44$$
$$89 = \frac{\left(\frac{4!}{\sqrt{.\dot{4}}}-.4\right)}{.4}$$
$$90 = \frac{\left(44-4\right)}{.\dot{4}}$$
$$91 = \left(4!\times4\right)-\frac{\sqrt{4}}{.4}$$
$$92 = 4+\left(\sqrt{4}\times44\right)$$
$$93 = \left(4!\times4\right)-\sqrt{\frac{4}{.\dot{4}}}$$
$$94 = \frac{4}{\left(.\dot{4}-.4\right)}+4$$
$$95 = \frac{44}{.\dot{4}}-4$$
$$96 = \sqrt{4}\times\left(4+44\right)$$
$$97 = \frac{44}{.\dot{4}}-\sqrt{4}$$
$$98 = \frac{\left(44-.\dot{4}\right)}{.\dot{4}}$$
$$99 = \frac{44}{\sqrt{\left(.\dot{4}\times.\dot{4}\right)}}$$
$$100 = \frac{\left(44-4\right)}{.4}$$
$$101 = \sqrt{4}+\frac{44}{.\dot{4}}$$
$$102 = \left({4}^{4}\times.4\right)-.4$$
$$103 = \frac{44}{.\dot{4}}+4$$
$$104 = 44+\frac{4!}{.4}$$
$$105 = \frac{\left(44-\sqrt{4}\right)}{.4}$$
$$106 = \frac{44}{.4}-4$$
$$107 = \frac{\left(4!+\left(4!-.\dot{4}\right)\right)}{.\dot{4}}$$
$$108 = \frac{\left(4+44\right)}{.\dot{4}}$$
$$109 = \frac{\left(44-.4\right)}{.4}$$
$$110 = \frac{44}{\sqrt{\left(.4\times.4\right)}}$$
$$111 = \frac{444}{4}$$
$$112 = \frac{44}{.4}+\sqrt{4}$$

$$114 = 4+\frac{44}{.4}$$
$$115 = \frac{\left(\sqrt{4}+44\right)}{.4}$$
$$116 = \left(4\times\left(4+4!\right)\right)+4$$
$$117 = \frac{\left(\left(4!\times\sqrt{4}\right)+4\right)}{.\dot{4}}$$
$$118 = \frac{\left(\left(4!-.4\right)\times\sqrt{4}\right)}{.4}$$
$$119 = \frac{\left(\left(4!\times\sqrt{4}\right)-.4\right)}{.4}$$
$$120 = \frac{\left(4+44\right)}{.4}$$
$$121 = {\frac{44}{4}}^{\sqrt{4}}$$
$$122 = \frac{\left(.4+4!\right)}{.4}\times\sqrt{4}$$
$$123 = 4!+\frac{44}{.\dot{4}}$$
$$124 = \frac{{4}^{4}}{\sqrt{4}}-4$$
$$125 = \frac{\left(4!-4\right)}{\left(.4\times.4\right)}$$
$$126 = \frac{\left({4}^{4}-4\right)}{\sqrt{4}}$$
$$127 = \frac{\left({4}^{4}-\sqrt{4}\right)}{\sqrt{4}}$$
$$128 = \left(4+4\right)\times\left(4\times4\right)$$
$$129 = \frac{\left(\sqrt{4}+{4}^{4}\right)}{\sqrt{4}}$$
$$130 = \frac{\left(4+{4}^{4}\right)}{\sqrt{4}}$$
$$131 = \frac{4!}{\left(.4\times.\dot{4}\right)}-4$$
$$132 = 44\times\sqrt{\frac{4}{.\dot{4}}}$$
$$133 = \frac{4!}{\left(.4\times.\dot{4}\right)}-\sqrt{4}$$
$$134 = \frac{44}{.4}+4!$$
$$135 = \frac{4!}{\left(\left(.\dot{4}-.4\right)\times4\right)}$$
$$136 = \sqrt{4}\times\left(4!+44\right)$$
$$137 = \frac{4!}{\left(.4\times.\dot{4}\right)}+\sqrt{4}$$
$$138 = \frac{\left(\left(4!\times4\right)-4\right)}{\sqrt{.\dot{4}}}$$
$$139 = 4+\frac{4!}{\left(.4\times.\dot{4}\right)}$$
$$140 = 44+\left(4!\times4\right)$$
$$141 = \frac{\left(\left(4!\times4\right)-\sqrt{4}\right)}{\sqrt{.\dot{4}}}$$
$$142 = \left(\left(4+\sqrt{4}\right)\times4!\right)-\sqrt{4}$$
$$143 = \frac{\left(\left(4!\times4!\right)-4\right)}{4}$$
$$144 = 4\times\left(\frac{4}{.\dot{4}}\times4\right)$$
$$145 = \frac{\left(4+\frac{4!}{.\dot{4}}\right)}{.4}$$
$$146 = \frac{4!}{\left(.4\times.4\right)}-4$$
$$147 = \frac{\left(\sqrt{4}+\left(4!\times4\right)\right)}{\sqrt{.\dot{4}}}$$
$$148 = 4+\left(\left(4+\sqrt{4}\right)\times4!\right)$$
$$149 = \frac{\left(\frac{4!}{.4}-.4\right)}{.4}$$
$$150 = \frac{\left(4+\left(4!\times4\right)\right)}{\sqrt{.\dot{4}}}$$
$$151 = \frac{\left(.4+\frac{4!}{.4}\right)}{.4}$$
$$152 = \left(4\times44\right)-4!$$
$$153 = \frac{\left(4!+44\right)}{.\dot{4}}$$
$$154 = \frac{4!}{\left(.4\times.4\right)}+4$$
$$155 = \frac{\left(\sqrt{4}+\frac{4!}{.4}\right)}{.4}$$
$$156 = \frac{4!}{.4}+\left(4!\times4\right)$$
$$158 = \frac{{\sqrt{\sqrt{\sqrt{4}}}}^{4!}}{.4}-\sqrt{4}$$
$$159 = \frac{4!}{\left(.4\times.\dot{4}\right)}+4!$$
$$160 = \left(44-4\right)\times4$$
$$161 = \frac{\left(.4+{\sqrt{\sqrt{\sqrt{4}}}}^{4!}\right)}{.4}$$
$$162 = \sqrt{\left(4\times{\frac{4}{.\dot{4}}}^{4}\right)}$$
$$164 = \frac{{\sqrt{\sqrt{\sqrt{4}}}}^{4!}}{.4}+4$$
$$165 = \frac{44}{\left(\sqrt{.\dot{4}}-.4\right)}$$
$$166 =$$
$$168 = \left(44-\sqrt{4}\right)\times4$$
$$169 = \sqrt{{\left(4+\frac{4}{.\dot{4}}\right)}^{4}}$$
$$170 = \frac{\left(4!+44\right)}{.4}$$
$$172 = \left(4\times44\right)-4$$
$$174 = \left(4\times44\right)-\sqrt{4}$$
$$175 = \frac{\left(4+4!\right)}{\left(.4\times.4\right)}$$
$$176 = 44\times\sqrt{\left(4\times4\right)}$$
$$178 = \left(4\times44\right)+\sqrt{4}$$
$$180 = \left(4\times44\right)+4$$
$$181 =$$
$$184 = 4\times\left(\sqrt{4}+44\right)$$
$$188 = \left(4!\times\left(4+4\right)\right)-4$$
$$189 = \frac{\left(4!+\frac{4!}{.4}\right)}{.\dot{4}}$$
$$190 = \left(4!\times\left(4+4\right)\right)-\sqrt{4}$$
$$192 = 4\times\left(4+44\right)$$
$$194 = \left(4!\times\left(4+4\right)\right)+\sqrt{4}$$
$$195 = \frac{\left(\frac{4!}{.\dot{4}}+4!\right)}{.4}$$
$$196 = 4+\left(4!\times\left(4+4\right)\right)$$
$$198 = \frac{44}{.\dot{4}}\times\sqrt{4}$$
$$200 = \left(4\times44\right)+4!$$
$$202 = {4}^{4}-\frac{4!}{.\dot{4}}$$
$$204 = 4!\times\left(4+\frac{\sqrt{4}}{.\dot{4}}\right)$$
$$207 = \frac{\left(\left(4!\times4\right)-4\right)}{.\dot{4}}$$
$$208 = \left(\left(4!\times\sqrt{4}\right)+4\right)\times4$$
$$210 = \frac{\left(4!-\sqrt{.\dot{4}}\right)}{.\dot{4}}\times4$$
$$212 = {4}^{4}-44$$
$$214 = \left(4\times\frac{4!}{.\dot{4}}\right)-\sqrt{4}$$
$$215 = \frac{\left(\left(4!\times4\right)-.\dot{4}\right)}{.\dot{4}}$$
$$216 = \frac{4!}{.4}\times\left(4-.4\right)$$
$$217 = \frac{\left(\left(4!\times4\right)+.\dot{4}\right)}{.\dot{4}}$$
$$218 = \sqrt{4}+\left(4\times\frac{4!}{.\dot{4}}\right)$$
$$220 = \frac{\left(\sqrt{4}\times44\right)}{.4}$$
$$222 = \frac{444}{\sqrt{4}}$$
$$224 = \left(4+4!\right)\times\left(4+4\right)$$
$$225 = \frac{4}{\left(.4\times\left(.\dot{4}-.4\right)\right)}$$
$$228 = \left({4}^{4}-4!\right)-4$$
$$230 = \frac{\left(\left(4!\times4\right)-4\right)}{.4}$$
$$232 = 4\times\left(4+\frac{4!}{.\dot{4}}\right)$$
$$234 = \frac{\left(\sqrt{4}+4!\right)}{.\dot{4}}\times4$$
$$235 = \frac{\left(\left(4!\times4\right)-\sqrt{4}\right)}{.4}$$
$$236 = \frac{\left(4!\times4\right)}{.4}-4$$
$$238 = \frac{\left(4!\times4\right)}{.4}-\sqrt{4}$$
$$239 = \frac{\left(\left(4!\times4\right)-.4\right)}{.4}$$
$$240 = {4}^{4}-\left(4\times4\right)$$
$$241 = \frac{\left(\left(4!\times4\right)+.4\right)}{.4}$$
$$242 = \frac{\left(4!\times4\right)}{.4}+\sqrt{4}$$
$$243 = \frac{4!}{\left(.\dot{4}\times.\dot{4}\right)}\times\sqrt{4}$$
$$244 = \frac{\left(4!\times4\right)}{.4}+4$$
$$245 = \frac{\left(\sqrt{4}+\left(4!\times4\right)\right)}{.4}$$
$$246 = {4}^{4}-\frac{4}{.4}$$
$$247 = {4}^{4}-\frac{4}{.\dot{4}}$$
$$248 = {4}^{4}-\left(4+4\right)$$
$$250 = \frac{\left(4+\left(4!\times4\right)\right)}{.4}$$
$$251 = {4}^{4}-\frac{\sqrt{4}}{.4}$$
$$252 = \frac{\left(4\times\left(4+4!\right)\right)}{.\dot{4}}$$
$$253 = {4}^{4}-\sqrt{\frac{4}{.\dot{4}}}$$
$$254 = \left({4}^{4}-4\right)+\sqrt{4}$$
$$255 = {4}^{4}-\frac{4}{4}$$
$$256 = \left(\left(4\times4\right)\times4\right)\times4$$
$$257 = {4}^{4}+\frac{4}{4}$$
$$258 = \left(4+{4}^{4}\right)-\sqrt{4}$$
$$259 = {4}^{4}+\sqrt{\frac{4}{.\dot{4}}}$$
$$260 = \sqrt{{\left(4\times4\right)}^{4}}+4$$
$$261 = {4}^{4}+\frac{\sqrt{4}}{.4}$$
$$262 = \left(4+\sqrt{4}\right)+{4}^{4}$$
$$264 = 44\times\left(4+\sqrt{4}\right)$$
$$265 = \frac{4}{.\dot{4}}+{4}^{4}$$
$$266 = \frac{4}{.4}+{4}^{4}$$
$$268 = \frac{4!}{\sqrt{4}}+{4}^{4}$$
$$270 = \frac{\left(\left(4!\times4\right)+4!\right)}{.\dot{4}}$$
$$272 = 4\times\left(4!+44\right)$$
$$275 = \frac{44}{\left(.4\times.4\right)}$$
$$276 = {4}^{4}+\left(4!-4\right)$$
$$278 = \left({4}^{4}-\sqrt{4}\right)+4!$$
$$280 = \left(4+4!\right)\times\frac{4}{.4}$$
$$282 = 4!+\left(\sqrt{4}+{4}^{4}\right)$$
$$284 = \left(4+{4}^{4}\right)+4!$$
$$286 = \frac{\left(\left(4!\times4!\right)-4\right)}{\sqrt{4}}$$
$$287 = \frac{\left(\left(4!\times4!\right)-\sqrt{4}\right)}{\sqrt{4}}$$
$$288 = 4!\times\left(4+\left(4+4\right)\right)$$
$$289 = \frac{\left(\sqrt{4}+\left(4!\times4!\right)\right)}{\sqrt{4}}$$
$$290 = \frac{\left(\left(4!\times4!\right)+4\right)}{\sqrt{4}}$$
$$292 = 4+\sqrt{\frac{{4!}^{4}}{4}}$$
$$294 = {\sqrt{\left(\frac{\sqrt{4!}}{.4}+\sqrt{4!}\right)}}^{4}$$
$$296 = 444\times\sqrt{.\dot{4}}$$
$$300 = {4}^{4}+44$$
$$304 = 4!+\left({4}^{4}+4!\right)$$
$$310 = \frac{4!}{.\dot{4}}+{4}^{4}$$
$$312 = \left(4+\frac{4}{.\dot{4}}\right)\times4!$$
$$316 = {4}^{4}+\frac{4!}{.4}$$
$$320 = \left(4\times4\right)\times\left(4!-4\right)$$
$$324 = \frac{{\left(4+\sqrt{4}\right)}^{4}}{4}$$
$$336 = 4!\times\left(\frac{4}{.4}+4\right)$$
$$338 = \sqrt{\frac{{\left(\sqrt{4}+4!\right)}^{4}}{4}}$$
$$343 = {\sqrt{\sqrt{\sqrt{\frac{\left(4+4!\right)}{4}}}}}^{4!}$$
$$348 = \frac{\left({4}^{4}-4!\right)}{\sqrt{.\dot{4}}}$$
$$351 = \frac{4!}{\sqrt{\sqrt{{\sqrt{.4}}^{4!}}}}-4!$$
$$352 = 44\times\left(4+4\right)$$
$$360 = \frac{4}{\left(.\dot{4}-.4\right)}\times4$$
$$361 = {\sqrt{\left(4!-\frac{\sqrt{4}}{.4}\right)}}^{4}$$
$$368 = \left(\left(4!\times4\right)-4\right)\times4$$
$$371 = \frac{4!}{\sqrt{\sqrt{{\sqrt{.4}}^{4!}}}}-4$$
$$373 = \frac{4!}{\sqrt{\sqrt{{\sqrt{.4}}^{4!}}}}-\sqrt{4}$$
$$375 = \frac{4!}{\left(.4\times\left(.4\times.4\right)\right)}$$
$$376 = \left(\left(4!\times4\right)-\sqrt{4}\right)\times4$$
$$377 = \frac{4!}{\sqrt{\sqrt{{\sqrt{.4}}^{4!}}}}+\sqrt{4}$$
$$378 = \frac{\left({4}^{4}-4\right)}{\sqrt{.\dot{4}}}$$
$$379 = 4+\frac{4!}{\sqrt{\sqrt{{\sqrt{.4}}^{4!}}}}$$
$$380 = \left(\left(4!\times4\right)\times4\right)-4$$
$$381 = \frac{\left({4}^{4}-\sqrt{4}\right)}{\sqrt{.\dot{4}}}$$
$$382 = \left(\left(4!\times4\right)\times4\right)-\sqrt{4}$$
$$383 = \frac{\left({4}^{4}-\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}$$
$$384 = \left(\sqrt{\left(4\times4\right)}\times4\right)\times4!$$
$$385 = \frac{\left({4}^{4}+\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}$$
$$386 = \sqrt{4}+\left(\left(4!\times4\right)\times4\right)$$
$$387 = \frac{\left(\sqrt{4}+{4}^{4}\right)}{\sqrt{.\dot{4}}}$$
$$388 = \left(\left(4!\times4\right)\times4\right)+4$$
$$390 = \frac{\left(4+{4}^{4}\right)}{\sqrt{.\dot{4}}}$$
$$392 = 4\times\left(\sqrt{4}+\left(4!\times4\right)\right)$$
$$396 = 44\times\frac{4}{.\dot{4}}$$
$$398 = {\left(4!-4\right)}^{\sqrt{4}}-\sqrt{4}$$
$$399 = 4!+\frac{4!}{\sqrt{\sqrt{{\sqrt{.4}}^{4!}}}}$$
$$400 = 4\times\left(4+\left(4!\times4\right)\right)$$
$$402 = \sqrt{4}+{\left(4!-4\right)}^{\sqrt{4}}$$
$$404 = \sqrt{{\left(4!-4\right)}^{4}}+4$$
$$408 = \left(\left(4!\times4\right)\times4\right)+4!$$
$$416 = \left(4\times\left(\sqrt{4}+4!\right)\right)\times4$$
$$420 = 444-4!$$
$$424 = \sqrt{{\left(4!-4\right)}^{4}}+4!$$
$$432 = \frac{4!}{.\dot{4}}\times\left(4+4\right)$$
$$440 = 444-4$$
$$441 = \sqrt{{\left(4!-\sqrt{\frac{4}{.\dot{4}}}\right)}^{4}}$$
$$442 = 444-\sqrt{4}$$
$$444 = {\sqrt{\sqrt{444}}}^{4}$$
$$446 = 444+\sqrt{4}$$
$$448 = 444+4$$
$$450 = \frac{\left(4-4!\right)}{\left(.4-.\dot{4}\right)}$$
$$456 = \left(4!\times\left(4!-4\right)\right)-4!$$
$$460 = \sqrt{{\left(4!-\sqrt{4}\right)}^{4}}-4!$$
$$464 = \sqrt{4}\times\left({4}^{4}-4!\right)$$
$$468 = 4!+444$$
$$472 = \left(4-4!\right)\times\left(.4-4!\right)$$
$$476 = \left(4!\times\left(4!-4\right)\right)-4$$
$$478 = \left(4!\times\left(4!-4\right)\right)-\sqrt{4}$$
$$480 = 4!\times\left(4+\left(4\times4\right)\right)$$
$$482 = \left(4!\times\left(4!-4\right)\right)+\sqrt{4}$$
$$484 = \frac{{\sqrt{44}}^{4}}{4}$$
$$486 = \frac{\left(4!\times4\right)}{\left(.\dot{4}\times.\dot{4}\right)}$$
$$488 = \left(.4+4!\right)\times\left(4!-4\right)$$
$$495 = \frac{\left(\sqrt{4}-4!\right)}{\left(.4-.\dot{4}\right)}$$
$$496 = 4!\times\left(\left(\sqrt{.\dot{4}}-4\right)+4!\right)$$
$$500 = \sqrt{\frac{{\sqrt{\sqrt{\frac{4}{.4}}}}^{4!}}{4}}$$
$$504 = \left({4}^{4}-4\right)\times\sqrt{4}$$
$$508 = \left(\sqrt{4}\times{4}^{4}\right)-4$$
$$510 = \left(\sqrt{4}\times{4}^{4}\right)-\sqrt{4}$$
$$512 = {4}^{4}+{4}^{4}$$
$$514 = \sqrt{4}+\left(\sqrt{4}\times{4}^{4}\right)$$
$$516 = \left(\sqrt{4}\times{4}^{4}\right)+4$$
$$520 = \sqrt{4}\times\left(4+{4}^{4}\right)$$
$$522 = \frac{\left({4}^{4}-4!\right)}{.\dot{4}}$$
$$524 = \left(\left(4!-\sqrt{4}\right)\times4!\right)-4$$
$$525 = \frac{\left(4!-\sqrt{.\dot{4}}\right)}{\left(.\dot{4}-.4\right)}$$
$$526 = \left(\left(4!-\sqrt{4}\right)\times4!\right)-\sqrt{4}$$
$$528 = \frac{44}{\sqrt{4}}\times4!$$
$$529 = \sqrt{{\left(4!-\frac{4}{4}\right)}^{4}}$$
$$530 = \frac{\left(.\dot{4}-4!\right)}{\left(.4-.\dot{4}\right)}$$
$$531 = \frac{\left(4!-.4\right)}{\left(.\dot{4}-.4\right)}$$
$$532 = \left(4!\times4!\right)-44$$
$$536 = \frac{4!}{\left(.\dot{4}-.4\right)}-4$$
$$538 = \frac{4!}{\left(.\dot{4}-.4\right)}-\sqrt{4}$$
$$540 = \frac{\left(4!\times4\right)}{\left(.4\times.\dot{4}\right)}$$
$$542 = \sqrt{4}-\frac{4!}{\left(.4-.\dot{4}\right)}$$
$$544 = 4-\frac{4!}{\left(.4-.\dot{4}\right)}$$
$$548 = \left(\left(4!\times4!\right)-4!\right)-4$$
$$549 = \frac{\left(.4+4!\right)}{\left(.\dot{4}-.4\right)}$$
$$550 = \frac{\left(.\dot{4}+4!\right)}{\left(.\dot{4}-.4\right)}$$
$$552 = \left(4!-\frac{4}{4}\right)\times4!$$
$$554 = \left(\left(4!\times4!\right)-4!\right)+\sqrt{4}$$
$$555 = \frac{\left(\sqrt{.\dot{4}}+4!\right)}{\left(.\dot{4}-.4\right)}$$
$$556 = \left(\left(4!\times4!\right)-4!\right)+4$$
$$558 = \left(\left(4!-\sqrt{.\dot{4}}\right)\times4!\right)-\sqrt{4}$$
$$560 = \left(4!\times4!\right)-\left(4\times4\right)$$
$$562 = \left(\left(4!-\sqrt{.\dot{4}}\right)\times4!\right)+\sqrt{4}$$
$$564 = 4!+\frac{4!}{\left(.\dot{4}-.4\right)}$$
$$566 = \left(4!\times4!\right)-\frac{4}{.4}$$
$$567 = \frac{\left({4}^{4}-4\right)}{.\dot{4}}$$
$$568 = \left(4!\times4!\right)-\left(4+4\right)$$
$$570 = \left(\left(4!\times4!\right)-\sqrt{4}\right)-4$$
$$571 = \left(4!\times4!\right)-\frac{\sqrt{4}}{.4}$$
$$572 = \frac{{4}^{4}}{.\dot{4}}-4$$
$$573 = \left(4!\times4!\right)-\sqrt{\frac{4}{.\dot{4}}}$$
$$574 = \frac{{4}^{4}}{.\dot{4}}-\sqrt{4}$$
$$575 = \frac{\left({4}^{4}-.\dot{4}\right)}{.\dot{4}}$$
$$576 = \left(\left(4!\times4!\right)+4\right)-4$$
$$577 = \frac{\left({4}^{4}+.\dot{4}\right)}{.\dot{4}}$$
$$578 = \sqrt{4}+\frac{{4}^{4}}{.\dot{4}}$$
$$579 = \sqrt{\frac{4}{.\dot{4}}}+\left(4!\times4!\right)$$
$$580 = 4+\frac{{4}^{4}}{.\dot{4}}$$
$$581 = \frac{\sqrt{4}}{.4}+\left(4!\times4!\right)$$
$$582 = \left(\left(4!\times4!\right)+4\right)+\sqrt{4}$$
$$584 = \left(4!\times4!\right)+\left(4+4\right)$$
$$585 = \frac{\left(4+{4}^{4}\right)}{.\dot{4}}$$
$$586 = \frac{4}{.4}+\left(4!\times4!\right)$$
$$588 = 4!\times\left(\frac{\sqrt{4}}{4}+4!\right)$$
$$590 = \left(4!\times\left(\sqrt{.\dot{4}}+4!\right)\right)-\sqrt{4}$$
$$592 = \left(4!\times4!\right)+\left(4\times4\right)$$
$$594 = \left(4!\times\left(\sqrt{.\dot{4}}+4!\right)\right)+\sqrt{4}$$
$$596 = \left(\left(4!\times4!\right)+4!\right)-4$$
$$598 = 4!-\left(\sqrt{4}-\left(4!\times4!\right)\right)$$
$$600 = \frac{4}{\left(.4\times.4\right)}\times4!$$
$$601 = {\frac{\sqrt{4}}{.4}}^{4}-4!$$
$$602 = \left(\left(4!\times4!\right)+4!\right)+\sqrt{4}$$
$$604 = \left(\left(4!\times4!\right)+4\right)+4!$$
$$608 = \left(4!+\sqrt{\left(.\dot{4}\times4\right)}\right)\times4!$$
$$612 = 4!\times\left(\frac{\sqrt{.\dot{4}}}{.\dot{4}}+4!\right)$$
$$616 = \frac{{4}^{4}}{.4}-4!$$
$$620 = 44+\left(4!\times4!\right)$$
$$621 = {\frac{\sqrt{4}}{.4}}^{4}-4$$
$$622 = \left(\left(\sqrt{4}+4!\right)\times4!\right)-\sqrt{4}$$
$$623 = {\frac{\sqrt{4}}{.4}}^{4}-\sqrt{4}$$
$$624 = 4!\times\left(4-\left(\sqrt{4}-4!\right)\right)$$
$$625 = {\left(\frac{4}{4}+4\right)}^{4}$$
$$626 = \sqrt{4}+\left(\left(\sqrt{4}+4!\right)\times4!\right)$$
$$627 = \sqrt{4}+{\frac{\sqrt{4}}{.4}}^{4}$$
$$628 = \left(\left(\sqrt{4}+4!\right)\times4!\right)+4$$
$$629 = 4+{\frac{\sqrt{4}}{.4}}^{4}$$
$$630 = \frac{\left({4}^{4}-4\right)}{.4}$$
$$635 = \frac{\left({4}^{4}-\sqrt{4}\right)}{.4}$$
$$636 = \frac{{4}^{4}}{.4}-4$$
$$638 = \frac{{4}^{4}}{.4}-\sqrt{4}$$
$$639 = \frac{\left({4}^{4}-.4\right)}{.4}$$
$$640 = \frac{{\left(4\times4\right)}^{\sqrt{4}}}{.4}$$
$$641 = \frac{\left(.4+{4}^{4}\right)}{.4}$$
$$642 = \frac{{4}^{4}}{.4}+\sqrt{4}$$
$$644 = 4+\frac{{4}^{4}}{.4}$$
$$645 = \frac{\left(\sqrt{4}+{4}^{4}\right)}{.4}$$
$$648 = \frac{4!}{\left(.\dot{4}+.\dot{4}\right)}\times4!$$
$$649 = {\frac{\sqrt{4}}{.4}}^{4}+4!$$
$$650 = \frac{\left(4+{4}^{4}\right)}{.4}$$
$$652 = {\sqrt{\left(\sqrt{4}+4!\right)}}^{4}-4!$$
$$656 = \left(\left(4-\sqrt{.\dot{4}}\right)+4!\right)\times4!$$
$$664 = 4!+\frac{{4}^{4}}{.4}$$
$$666 = \frac{444}{\sqrt{.\dot{4}}}$$
$$668 = \left(\left(4+4!\right)\times4!\right)-4$$
$$670 = \left(\left(4+4!\right)\times4!\right)-\sqrt{4}$$
$$672 = \sqrt{\left(4\times4\right)}!\times\left(4+4!\right)$$
$$674 = \left(\left(4+4!\right)\times4!\right)+\sqrt{4}$$
$$676 = \left(\left(4+4!\right)\times4!\right)+4$$
$$678 = \sqrt{{\left(\sqrt{4}+4!\right)}^{4}}+\sqrt{4}$$
$$680 = \sqrt{{\left(\sqrt{4}+4!\right)}^{4}}+4$$
$$684 = \left(\frac{\sqrt{4}}{.\dot{4}}+4!\right)\times4!$$
$$688 = 4!\times\left(\left(4+\sqrt{.\dot{4}}\right)+4!\right)$$
$$696 = \left(\left(4+4!\right)\times4!\right)+4!$$
$$700 = \frac{\left({4}^{4}+4!\right)}{.4}$$
$$704 = 4\times\left(4\times44\right)$$
$$705 = \sqrt{{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}^{4!}}-4!$$
$$720 = \frac{\left(4!\times4!\right)}{\left(.4+.4\right)}$$
$$725 = \sqrt{{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}^{4!}}-4$$
$$726 = \sqrt{\frac{{\left(4!-\sqrt{4}\right)}^{4}}{.\dot{4}}}$$
$$727 = \sqrt{{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}^{4!}}-\sqrt{4}$$
$$728 = \left(4+4!\right)\times\left(\sqrt{4}+4!\right)$$
$$729 = {\frac{4}{.\dot{4}}}^{\sqrt{\frac{4}{.\dot{4}}}}$$
$$731 = \sqrt{4}+{\sqrt{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}}^{4!}$$
$$733 = 4+\sqrt{{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}^{4!}}$$
$$750 = 4!\times\sqrt{\frac{4}{\sqrt{{\sqrt{.4}}^{4!}}}}$$
$$753 = \sqrt{{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}^{4!}}+4!$$
$$760 = \sqrt{{\left(4+4!\right)}^{4}}-4!$$
$$768 = 4\times\left(4!\times\left(4+4\right)\right)$$
$$780 = {\left(4+4!\right)}^{\sqrt{4}}-4$$
$$782 = {\left(4+4!\right)}^{\sqrt{4}}-\sqrt{4}$$
$$784 = \left(4+4!\right)\times\left(4+4!\right)$$
$$786 = \sqrt{4}+\sqrt{{\left(4+4!\right)}^{4}}$$
$$788 = {\left(4+4!\right)}^{\sqrt{4}}+4$$
$$792 = 4!\times\left(\frac{4}{.\dot{4}}+4!\right)$$
$$800 = \sqrt{\left({\left(4!-4\right)}^{4}\times4\right)}$$
$$808 = {\left(4+4!\right)}^{\sqrt{4}}+4!$$
$$810 = \frac{4!}{\left(\left(.\dot{4}-.4\right)\times\sqrt{.\dot{4}}\right)}$$
$$816 = \left(4!+\frac{4}{.4}\right)\times4!$$
$$828 = \frac{\left(\left(4!\times4!\right)-4!\right)}{\sqrt{.\dot{4}}}$$
$$832 = {4}^{4}+\left(4!\times4!\right)$$
$$840 = \sqrt{\frac{{4!}^{4}}{.\dot{4}}}-4!$$
$$841 = {\sqrt{\left(\frac{\sqrt{4}}{.4}+4!\right)}}^{4}$$
$$848 = 4!\times\frac{\left(4!-.\dot{4}\right)}{\sqrt{.\dot{4}}}$$
$$858 = \frac{\left(\left(4!\times4!\right)-4\right)}{\sqrt{.\dot{4}}}$$
$$860 = \sqrt{\frac{{4!}^{4}}{.\dot{4}}}-4$$
$$861 = \frac{\left(\left(4!\times4!\right)-\sqrt{4}\right)}{\sqrt{.\dot{4}}}$$
$$862 = \sqrt{\frac{{4!}^{4}}{.\dot{4}}}-\sqrt{4}$$
$$863 = \frac{\left(\left(4!\times4!\right)-\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}$$
$$864 = \frac{\left(\left(4!\times4\right)\times4\right)}{.\dot{4}}$$
$$865 = \frac{\left(\left(4!\times4!\right)+\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}$$
$$866 = \sqrt{\frac{{4!}^{4}}{.\dot{4}}}+\sqrt{4}$$
$$867 = \frac{\left(\sqrt{4}+\left(4!\times4!\right)\right)}{\sqrt{.\dot{4}}}$$
$$868 = \sqrt{\frac{{4!}^{4}}{.\dot{4}}}+4$$
$$870 = \frac{\left(\left(4!\times4!\right)+4\right)}{\sqrt{.\dot{4}}}$$
$$880 = \left(4!-4\right)\times44$$
$$887 = \left(\sqrt{\sqrt{.\dot{4}}}-4\right)+{4}^{\sqrt{4!}}$$
$$888 = 444\times\sqrt{4}$$
$$889 = \left(\sqrt{\sqrt{.\dot{4}}}+{4}^{\sqrt{4!}}\right)-\sqrt{4}$$
$$891 = {4}^{\sqrt{4!}}+\frac{4}{\sqrt{4!}}$$
$$893 = {4}^{\sqrt{4!}}+\left(\sqrt{4}+\sqrt{\sqrt{.\dot{4}}}\right)$$
$$895 = \left(\sqrt{\sqrt{.\dot{4}}}+4\right)+{4}^{\sqrt{4!}}$$
$$896 = \left(\left(\sqrt{4}-.\dot{4}\right)\times4!\right)\times4!$$
$$900 = \frac{\sqrt{{\left(4!-4\right)}^{4}}}{.\dot{4}}$$
$$912 = \left(\sqrt{4}+\frac{4!}{\sqrt{.\dot{4}}}\right)\times4!$$
$$915 = \left(4!+{4}^{\sqrt{4!}}\right)+\sqrt{\sqrt{.\dot{4}}}$$
$$928 = 4\times\left({4}^{4}-4!\right)$$
$$936 = \frac{\left(\sqrt{4}+4!\right)}{\sqrt{.\dot{4}}}\times4!$$
$$960 = \left(44-4\right)\times4!$$
$$968 = \left(4!-\sqrt{4}\right)\times44$$
$$976 = \sqrt{{\sqrt{\sqrt{\frac{4}{.4}}}}^{4!}}-4!$$
$$990 = \frac{44}{\left(.\dot{4}-.4\right)}$$
$$996 = {\sqrt{\sqrt{\sqrt{\frac{4}{.4}}}}}^{4!}-4$$
$$998 = \sqrt{{\sqrt{\sqrt{\frac{4}{.4}}}}^{4!}}-\sqrt{4}$$
$$999 = \frac{444}{.\dot{4}}$$
$$1000 = \left(4\times{4}^{4}\right)-4!$$
$$1002 = \sqrt{4}+{\sqrt{\sqrt{\sqrt{\frac{4}{.4}}}}}^{4!}$$
$$1004 = {\sqrt{\sqrt{\sqrt{\frac{4}{.4}}}}}^{4!}+4$$
$$1008 = 4\times\left({4}^{4}-4\right)$$
$$1014 = \frac{\sqrt{{\left(\sqrt{4}+4!\right)}^{4}}}{\sqrt{.\dot{4}}}$$
$$1016 = \left({4}^{4}-\sqrt{4}\right)\times4$$
$$1018 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4!\right)}{4}$$
$$1020 = \left(4\times{4}^{4}\right)-4$$
$$1022 = \left(4\times{4}^{4}\right)-\sqrt{4}$$
$$1023 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4\right)}{4}$$
$$1024 = \frac{{\left(4+4\right)}^{4}}{4}$$
$$1025 = \frac{\left(4+{\sqrt{\sqrt{4}}}^{4!}\right)}{4}$$
$$1026 = \left(4\times{4}^{4}\right)+\sqrt{4}$$
$$1028 = 4+\left(4\times{4}^{4}\right)$$
$$1030 = \frac{\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)}{4}$$
$$1032 = \left(4!\times44\right)-4!$$
$$1040 = 4\times\left(4+{4}^{4}\right)$$
$$1048 = \left(4\times{4}^{4}\right)+4!$$
$$1052 = \left(4!\times44\right)-4$$
$$1054 = \left(4!\times44\right)-\sqrt{4}$$
$$1056 = \sqrt{\left(4\times4\right)}!\times44$$
$$1058 = \left(4!\times44\right)+\sqrt{4}$$
$$1060 = \left(4!\times44\right)+4$$
$$1072 = \left(44+\sqrt{.\dot{4}}\right)\times4!$$
$$1080 = 4!+\left(4!\times44\right)$$
$$1089 = {\sqrt{\left(\frac{4}{.\dot{4}}+4!\right)}}^{4}$$
$$1104 = 4!\times\left(\sqrt{4}+44\right)$$
$$1110 = \frac{444}{.4}$$
$$1120 = \left({4}^{4}+4!\right)\times4$$
$$1128 = \left(\left(4!\times4!\right)\times\sqrt{4}\right)-4!$$
$$1136 = 4!\times\left(4!+\left(4!-\sqrt{.\dot{4}}\right)\right)$$
$$1144 = \left(\sqrt{4}+4!\right)\times44$$
$$1148 = \left(\left(4!\times4!\right)\times\sqrt{4}\right)-4$$
$$1150 = \left(\left(4!\times4!\right)\times\sqrt{4}\right)-\sqrt{4}$$
$$1152 = \left(4+44\right)\times4!$$
$$1154 = \left(\left(4!\times4!\right)\times\sqrt{4}\right)+\sqrt{4}$$
$$1156 = 4+\left(\left(4!\times4!\right)\times\sqrt{4}\right)$$
$$1160 = \left(\left(4!\times4!\right)+4\right)\times\sqrt{4}$$
$$1168 = 4!\times\left(\left(4!\times\sqrt{4}\right)+\sqrt{.\dot{4}}\right)$$
$$1176 = \left(\left(4!\times4!\right)\times\sqrt{4}\right)+4!$$
$$1184 = \left(\sqrt{.\dot{4}}+4!\right)\times\left(4!\times\sqrt{4}\right)$$
$$1188 = \frac{\left(\left(4!-\sqrt{4}\right)\times4!\right)}{.\dot{4}}$$
$$1200 = \frac{\left(4!\times\left(4!-4\right)\right)}{.4}$$
$$1210 = \frac{{\left(4!-\sqrt{4}\right)}^{\sqrt{4}}}{.4}$$
$$1215 = \frac{4!}{\left(.\dot{4}\times\left(.\dot{4}-.4\right)\right)}$$
$$1225 = \frac{{\left(4!-\sqrt{.\dot{4}}\right)}^{\sqrt{4}}}{.\dot{4}}$$
$$1232 = \left(4+4!\right)\times44$$
$$1242 = \frac{\left(\left(4!\times4!\right)-4!\right)}{.\dot{4}}$$
$$1248 = \left(\left(4!\times\sqrt{4}\right)+4\right)\times4!$$
$$1250 = \sqrt{4}\times{\frac{\sqrt{4}}{.4}}^{4}$$
$$1260 = \frac{\left(\left(4!-\sqrt{.\dot{4}}\right)\times4!\right)}{.\dot{4}}$$
$$1272 = {\left(4+\sqrt{4}\right)}^{4}-4!$$
$$1280 = \sqrt{4}\times\frac{{4}^{4}}{.4}$$
$$1287 = \frac{\left(\left(4!\times4!\right)-4\right)}{.\dot{4}}$$
$$1292 = {\left(4+\sqrt{4}\right)}^{4}-4$$
$$1294 = {\left(4+\sqrt{4}\right)}^{4}-\sqrt{4}$$
$$1295 = \frac{\left(\left(4!\times4!\right)-.\dot{4}\right)}{.\dot{4}}$$
$$1296 = {\left(\frac{4}{.4}-4\right)}^{4}$$
$$1297 = \frac{\left(\left(4!\times4!\right)+.\dot{4}\right)}{.\dot{4}}$$
$$1298 = {\left(4+\sqrt{4}\right)}^{4}+\sqrt{4}$$
$$1300 = {\left(4+\sqrt{4}\right)}^{4}+4$$
$$1305 = \frac{\left(\left(4!\times4!\right)+4\right)}{.\dot{4}}$$
$$1312 = \left(\frac{4!}{.\dot{4}}+\sqrt{.\dot{4}}\right)\times4!$$
$$1320 = {\left(4+\sqrt{4}\right)}^{4}+4!$$
$$1331 = {\sqrt{\sqrt{\sqrt{\frac{44}{4}}}}}^{4!}$$
$$1332 = \frac{\left(4!\times\left(\sqrt{.\dot{4}}+4!\right)\right)}{.\dot{4}}$$
$$1344 = 4!\times\left(\frac{4!}{.4}-4\right)$$
$$1350 = \frac{4!}{\left(.4\times\left(.\dot{4}-.4\right)\right)}$$
$$1352 = {\sqrt{\left(\sqrt{4}+4!\right)}}^{4}\times\sqrt{4}$$
$$1369 = \frac{\sqrt{{\left(\sqrt{.\dot{4}}+4!\right)}^{4}}}{.\dot{4}}$$
$$1380 = \frac{\left(\left(4!\times4!\right)-4!\right)}{.4}$$
$$1392 = \left(4+\frac{4!}{.\dot{4}}\right)\times4!$$
$$1400 = \frac{\left(4!-\sqrt{.\dot{4}}\right)}{.4}\times4!$$
$$1404 = 4!\times\frac{\left(\sqrt{4}+4!\right)}{.\dot{4}}$$
$$1408 = \left(\sqrt{4}+.\dot{4}\right)\times\left(4!\times4!\right)$$
$$1416 = \left(4!-.4\right)\times\frac{4!}{.4}$$
$$1424 = \left(\frac{4!}{.4}-\sqrt{.\dot{4}}\right)\times4!$$
$$1430 = \frac{\left(\left(4!\times4!\right)-4\right)}{.4}$$
$$1435 = \frac{\left(\left(4!\times4!\right)-\sqrt{4}\right)}{.4}$$
$$1436 = \left(4!\times\frac{4!}{.4}\right)-4$$
$$1438 = \left(4!\times\frac{4!}{.4}\right)-\sqrt{4}$$
$$1439 = \frac{\left(\left(4!\times4!\right)-.4\right)}{.4}$$
$$1440 = \frac{{4}^{4}}{\left(.4\times.\dot{4}\right)}$$
$$1441 = \frac{\left(.4+\left(4!\times4!\right)\right)}{.4}$$
$$1442 = \left(4!\times\frac{4!}{.4}\right)+\sqrt{4}$$
$$1444 = 4+\left(4!\times\frac{4!}{.4}\right)$$
$$1445 = \frac{\left(\sqrt{4}+\left(4!\times4!\right)\right)}{.4}$$
$$1450 = \frac{\left(\left(4!\times4!\right)+4\right)}{.4}$$
$$1456 = 4!\times\left(\frac{4!}{.4}+\sqrt{.\dot{4}}\right)$$
$$1458 = \frac{{\frac{4!}{.\dot{4}}}^{\sqrt{4}}}{\sqrt{4}}$$
$$1464 = \frac{\left(.4+4!\right)}{.4}\times4!$$
$$1480 = 4!\times\frac{\left(\sqrt{.\dot{4}}+4!\right)}{.4}$$
$$1488 = 4!\times\left(\sqrt{4}+\frac{4!}{.4}\right)$$
$$1500 = \frac{\left(\left(4!\times4!\right)+4!\right)}{.4}$$
$$1512 = \frac{\left(4+4!\right)}{.\dot{4}}\times4!$$
$$1520 = \left({\sqrt{\sqrt{\sqrt{4}}}}^{4!}-\sqrt{.\dot{4}}\right)\times4!$$
$$1521 = \frac{\sqrt{{\left(\sqrt{4}+4!\right)}^{4}}}{.\dot{4}}$$
$$1532 = \left({\sqrt{\sqrt{\sqrt{4}}}}^{4!}\times4!\right)-4$$
$$1534 = \left({\sqrt{\sqrt{\sqrt{4}}}}^{4!}\times4!\right)-\sqrt{4}$$
$$1536 = \left(\left(4!\times4\right)\times4\right)\times4$$
$$1538 = \sqrt{4}+\left({\sqrt{\sqrt{\sqrt{4}}}}^{4!}\times4!\right)$$
$$1540 = \left({\sqrt{\sqrt{\sqrt{4}}}}^{4!}\times4!\right)+4$$
$$1552 = 4!\times\left(\sqrt{.\dot{4}}+{\sqrt{\sqrt{\sqrt{4}}}}^{4!}\right)$$
$$1560 = \left(\sqrt{4}+4!\right)\times\frac{4!}{.4}$$
$$1568 = \sqrt{4}\times{\left(4+4!\right)}^{\sqrt{4}}$$
$$1576 = {\frac{4}{\sqrt{.4}}}^{4}-4!$$
$$1584 = \frac{44}{\sqrt{.\dot{4}}}\times4!$$
$$1596 = {\frac{4}{\sqrt{.4}}}^{4}-4$$
$$1598 = {\frac{4}{\sqrt{.4}}}^{4}-\sqrt{4}$$
$$1600 = {\sqrt{\left(44-4\right)}}^{4}$$
$$1602 = {\frac{4}{\sqrt{.4}}}^{4}+\sqrt{4}$$
$$1604 = {\frac{4}{\sqrt{.4}}}^{4}+4$$
$$1624 = {\frac{4}{\sqrt{.4}}}^{4}+4!$$
$$1632 = 4!\times\left(4!+44\right)$$
$$1638 = \left(.4\times{\sqrt{\sqrt{4}}}^{4!}\right)-.4$$
$$1640 = \left(4+{\sqrt{\sqrt{4}}}^{4!}\right)\times.4$$
$$1648 = .4\times\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$1664 = \left(\sqrt{4}+4!\right)\times\sqrt{{\sqrt{\sqrt{4}}}^{4!}}$$
$$1680 = \frac{\left(\left(4+4!\right)\times4!\right)}{.4}$$
$$1690 = \frac{\sqrt{{\left(\sqrt{4}+4!\right)}^{4}}}{.4}$$
$$1704 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}-4!$$
$$1724 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}-4$$
$$1726 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}-\sqrt{4}$$
$$1728 = 4!\times\left(\left(4!\times4\right)-4!\right)$$
$$1730 = \sqrt{4}+{\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}$$
$$1732 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}+4$$
$$1752 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}+4!$$
$$1764 = {\sqrt{\left(44-\sqrt{4}\right)}}^{4}$$
$$1776 = 4\times444$$
$$1792 = \left(4+4!\right)\times\sqrt{{\sqrt{\sqrt{4}}}^{4!}}$$
$$1800 = \frac{{\sqrt{\frac{4!}{.4}}}^{4}}{\sqrt{4}}$$
$$1820 = \left(.\dot{4}\times{\sqrt{\sqrt{4}}}^{4!}\right)-.\dot{4}$$
$$1872 = 4!\times\left(\frac{4!}{.\dot{4}}+4!\right)$$
$$1875 = \frac{\left(4!\times\sqrt{4}\right)}{{.4}^{4}}$$
$$1912 = {\sqrt{44}}^{4}-4!$$
$$1920 = \left(4!\times\left(4!-4\right)\right)\times4$$
$$1932 = {\sqrt{44}}^{4}-4$$
$$1934 = {\sqrt{44}}^{4}-\sqrt{4}$$
$$1936 = 44\times44$$
$$1938 = {\sqrt{44}}^{4}+\sqrt{4}$$
$$1940 = {\sqrt{44}}^{4}+4$$
$$1944 = \frac{{\left(4+\sqrt{4}\right)}^{4}}{\sqrt{.\dot{4}}}$$
$$1960 = {\sqrt{44}}^{4}+4!$$
$$2000 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}}{4}$$
$$2016 = 4!\times\left(4!+\frac{4!}{.4}\right)$$
$$2024 = {\sqrt{\sqrt{\sqrt{4}}}}^{44}-4!$$
$$2025 = \frac{4}{{\left(.\dot{4}-.4\right)}^{\sqrt{4}}}$$
$$2036 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4!\right)}{\sqrt{4}}$$
$$2039 = \sqrt{\sqrt{.\dot{4}}}+{\sqrt{4!}}^{\left(4+\sqrt{\sqrt{.4}}\right)}$$
$$2044 = {\sqrt{\sqrt{\sqrt{4}}}}^{44}-4$$
$$2046 = {\sqrt{\sqrt{\sqrt{4}}}}^{44}-\sqrt{4}$$
$$2047 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{4}\right)}{\sqrt{4}}$$
$$2048 = \left(4+4\right)\times{4}^{4}$$
$$2049 = \frac{\left(\sqrt{4}+{\sqrt{\sqrt{4}}}^{4!}\right)}{\sqrt{4}}$$
$$2050 = \sqrt{4}+{\sqrt{\sqrt{\sqrt{4}}}}^{44}$$
$$2052 = 4+{\sqrt{\sqrt{\sqrt{4}}}}^{44}$$
$$2060 = \frac{\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)}{\sqrt{4}}$$
$$2072 = 4!+{\sqrt{\sqrt{\sqrt{4}}}}^{44}$$
$$2112 = \left(\sqrt{4}\times44\right)\times4!$$
$$2116 = {\sqrt{\left(\sqrt{4}+44\right)}}^{4}$$
$$2160 = \frac{4!}{\left(.\dot{4}-.4\right)}\times4$$
$$2187 = {\sqrt{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}}^{\left(4+4!\right)}$$
$$2197 = {\sqrt{\sqrt{\sqrt{\left(4+\frac{4}{.\dot{4}}\right)}}}}^{4!}$$
$$2208 = 4!\times\left(\left(4!\times4\right)-4\right)$$
$$2240 = \left(\left(4!-\sqrt{.\dot{4}}\right)\times4!\right)\times4$$
$$2250 = \frac{\sqrt{{\sqrt{\sqrt{\frac{4}{.4}}}}^{4!}}}{.\dot{4}}$$
$$2256 = \left(\left(4!\times4\right)-\sqrt{4}\right)\times4!$$
$$2280 = \left(\left(4!\times4\right)\times4!\right)-4!$$
$$2288 = \left(\left(4!\times4!\right)-4\right)\times4$$
$$2296 = \left(\left(4!\times4!\right)-\sqrt{4}\right)\times4$$
$$2300 = \left(\left(4!\times4\right)\times4!\right)-4$$
$$2302 = \left(\left(4!\times4\right)\times4!\right)-\sqrt{4}$$
$$2304 = {\sqrt{\left(4+44\right)}}^{4}$$
$$2306 = \sqrt{4}+\left(\left(4!\times4\right)\times4!\right)$$
$$2308 = 4+\left(\left(4!\times4\right)\times4!\right)$$
$$2312 = \left(\sqrt{4}+\left(4!\times4!\right)\right)\times4$$
$$2320 = \left(\left(4!\times4!\right)+4\right)\times4$$
$$2328 = \left(\left(4!\times4\right)\times4!\right)+4!$$
$$2352 = 4!\times\left(\sqrt{4}+\left(4!\times4\right)\right)$$
$$2368 = \left(\left(\sqrt{.\dot{4}}+4!\right)\times4\right)\times4!$$
$$2376 = \frac{\left(4!\times44\right)}{.\dot{4}}$$
$$2400 = \left(4+\left(4!\times4\right)\right)\times4!$$
$$2401 = {\frac{\left(4+4!\right)}{4}}^{4}$$
$$2496 = \left(4\times\left(\sqrt{4}+4!\right)\right)\times4!$$
$$2500 = \frac{{\frac{4}{.4}}^{4}}{4}$$
$$2560 = \frac{{4}^{4}}{.4}\times4$$
$$2592 = \sqrt{4}\times{\left(4+\sqrt{4}\right)}^{4}$$
$$2640 = \frac{4!}{.4}\times44$$
$$2662 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}}{4}$$
$$2688 = \left(\left(4+4!\right)\times4!\right)\times4$$
$$2704 = 4\times{\sqrt{\left(\sqrt{4}+4!\right)}}^{4}$$
$$2728 = \sqrt{.\dot{4}}\times\left({\sqrt{\sqrt{4}}}^{4!}-4\right)$$
$$2730 = \left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{.\dot{4}}\right)-\sqrt{.\dot{4}}$$
$$2732 = \left(\sqrt{4}+{\sqrt{\sqrt{4}}}^{4!}\right)\times\sqrt{.\dot{4}}$$
$$2744 = {\sqrt{\sqrt{\sqrt{\left(\frac{4}{.4}+4\right)}}}}^{4!}$$
$$2809 = {\sqrt{\frac{\left(4!-.\dot{4}\right)}{.\dot{4}}}}^{4}$$
$$2816 = {\sqrt{\sqrt{\sqrt{4}}}}^{4!}\times44$$
$$2880 = 4!\times\left(\left(4!\times4\right)+4!\right)$$
$$2892 = {\frac{4!}{.\dot{4}}}^{\sqrt{4}}-4!$$
$$2904 = \frac{{\sqrt{44}}^{4}}{\sqrt{.\dot{4}}}$$
$$2908 = {\left(\left(\sqrt{4!}+\sqrt{4}\right)+.\dot{4}\right)}^{4}$$
$$2912 = {\frac{4!}{.\dot{4}}}^{\sqrt{4}}-4$$
$$2914 = {\frac{4!}{.\dot{4}}}^{\sqrt{4}}-\sqrt{4}$$
$$2916 = .\dot{4}\times{\frac{4}{.\dot{4}}}^{4}$$
$$2918 = \sqrt{4}+{\frac{4!}{.\dot{4}}}^{\sqrt{4}}$$
$$2920 = 4+{\frac{4!}{.\dot{4}}}^{\sqrt{4}}$$
$$2940 = {\frac{4!}{.\dot{4}}}^{\sqrt{4}}+4!$$
$$3000 = \sqrt{{\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}}\times4!$$
$$3025 = {\sqrt{\frac{\left(.\dot{4}+4!\right)}{.\dot{4}}}}^{4}$$
$$3072 = \frac{{4}^{4}}{\sqrt{4}}\times4!$$
$$3125 = {\frac{\sqrt{4}}{.4}}^{\frac{\sqrt{4}}{.4}}$$
$$3136 = {\left(4+4!\right)}^{\sqrt{4}}\times4$$
$$3141 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{\left(\sqrt{4!}-\sqrt{\sqrt{4!}}\right)}}}}}}^{4!}$$
$$3200 = {\frac{4}{\sqrt{.4}}}^{4}\times\sqrt{4}$$
$$3240 = \frac{{\left(4+\sqrt{4}\right)}^{4}}{.4}$$
$$3364 = {\sqrt{\left(4+\frac{4!}{.\dot{4}}\right)}}^{4}$$
$$3375 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\left(4\times.4\right)}}}}}^{4!}$$
$$3456 = \frac{{4!}^{4}}{\left(4!\times4\right)}$$
$$3481 = {\sqrt{\frac{\left(4!-.4\right)}{.4}}}^{4}$$
$$3520 = {\sqrt{\sqrt{4}}}^{4!}-\left(4!\times4!\right)$$
$$3576 = {\sqrt{\frac{4!}{.4}}}^{4}-4!$$
$$3596 = {\sqrt{\frac{4!}{.4}}}^{4}-4$$
$$3598 = {\sqrt{\frac{4!}{.4}}}^{4}-\sqrt{4}$$
$$3600 = \frac{\left(4!\times4!\right)}{\left(.4\times.4\right)}$$
$$3602 = {\sqrt{\frac{4!}{.4}}}^{4}+\sqrt{4}$$
$$3604 = {\sqrt{\frac{4!}{.4}}}^{4}+4$$
$$3624 = {\sqrt{\frac{4!}{.4}}}^{4}+4!$$
$$3721 = {\sqrt{\frac{\left(.4+4!\right)}{.4}}}^{4}$$
$$3750 = 4\times\frac{4!}{{.4}^{4}}$$
$$3840 = {\sqrt{\sqrt{4}}}^{4!}-{4}^{4}$$
$$3844 = {\sqrt{\left(\sqrt{4}+\frac{4!}{.4}\right)}}^{4}$$
$$3872 = {\sqrt{44}}^{4}\times\sqrt{4}$$
$$3888 = \frac{{\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}}{.\dot{4}}$$
$$3969 = {\frac{\left(4+4!\right)}{.\dot{4}}}^{\sqrt{4}}$$
$$4000 = .4\times{\frac{4}{.4}}^{4}$$
$$4032 = {\sqrt{\sqrt{4}}}^{4!}-{\sqrt{\sqrt{\sqrt{4}}}}^{4!}$$
$$4036 = {\sqrt{\sqrt{4}}}^{4!}-\frac{4!}{.4}$$
$$4042 = {\sqrt{\sqrt{4}}}^{4!}-\frac{4!}{.\dot{4}}$$
$$4048 = \left({\sqrt{\sqrt{4}}}^{4!}-4!\right)-4!$$
$$4052 = {\sqrt{\sqrt{4}}}^{4!}-44$$
$$4060 = {\sqrt{\sqrt{4}}}^{4!}-\frac{4!}{\sqrt{.\dot{4}}}$$
$$4068 = \left({\sqrt{\sqrt{4}}}^{4!}-4!\right)-4$$
$$4070 = \left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{4}\right)-4!$$
$$4072 = {\left(4+4\right)}^{4}-4!$$
$$4074 = \left({\sqrt{\sqrt{4}}}^{4!}-4!\right)+\sqrt{4}$$
$$4076 = \left(4+{\sqrt{\sqrt{4}}}^{4!}\right)-4!$$
$$4080 = {\sqrt{\sqrt{4}}}^{4!}-\left(4\times4\right)$$
$$4084 = {\sqrt{\sqrt{4}}}^{4!}-\frac{4!}{\sqrt{4}}$$
$$4086 = {\sqrt{\sqrt{4}}}^{4!}-\frac{4}{.4}$$
$$4087 = {\sqrt{\sqrt{4}}}^{4!}-\frac{4}{.\dot{4}}$$
$$4088 = {\sqrt{\sqrt{4}}}^{4!}-\left(4+4\right)$$
$$4090 = \left({\sqrt{\sqrt{4}}}^{4!}-4\right)-\sqrt{4}$$
$$4091 = {\sqrt{\sqrt{4}}}^{4!}-\frac{\sqrt{4}}{.4}$$
$$4092 = {\left(4+4\right)}^{4}-4$$
$$4093 = {\sqrt{\sqrt{4}}}^{4!}-\sqrt{\frac{4}{.\dot{4}}}$$
$$4094 = {\left(4+4\right)}^{4}-\sqrt{4}$$
$$4095 = {\sqrt{\sqrt{4}}}^{4!}-\frac{4}{4}$$
$$4096 = \left(4\times{4}^{4}\right)\times4$$
$$4097 = \frac{4}{4}+{\sqrt{\sqrt{4}}}^{4!}$$
$$4098 = {\left(4+4\right)}^{4}+\sqrt{4}$$
$$4099 = {\sqrt{\sqrt{4}}}^{4!}+\sqrt{\frac{4}{.\dot{4}}}$$
$$4100 = 4+{\left(4+4\right)}^{4}$$
$$4101 = \frac{\sqrt{4}}{.4}+{\sqrt{\sqrt{4}}}^{4!}$$
$$4102 = \left(\sqrt{4}+{\sqrt{\sqrt{4}}}^{4!}\right)+4$$
$$4104 = \left(4+{\sqrt{\sqrt{4}}}^{4!}\right)+4$$
$$4105 = {\sqrt{\sqrt{4}}}^{4!}+\frac{4}{.\dot{4}}$$
$$4106 = \frac{4}{.4}+{\sqrt{\sqrt{4}}}^{4!}$$
$$4108 = {\sqrt{\sqrt{4}}}^{4!}+\frac{4!}{\sqrt{4}}$$
$$4112 = {\sqrt{\sqrt{4}}}^{4!}+\left(4\times4\right)$$
$$4116 = {\sqrt{\sqrt{4}}}^{4!}+\left(4!-4\right)$$
$$4118 = {\sqrt{\sqrt{4}}}^{4!}-\left(\sqrt{4}-4!\right)$$
$$4120 = 4!+{\left(4+4\right)}^{4}$$
$$4122 = {\sqrt{\sqrt{4}}}^{4!}+\left(\sqrt{4}+4!\right)$$
$$4124 = 4+\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$4132 = \frac{4!}{\sqrt{.\dot{4}}}+{\sqrt{\sqrt{4}}}^{4!}$$
$$4140 = {\sqrt{\sqrt{4}}}^{4!}+44$$
$$4144 = \left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)+4!$$
$$4150 = {\sqrt{\sqrt{4}}}^{4!}+\frac{4!}{.\dot{4}}$$
$$4156 = {\sqrt{\sqrt{4}}}^{4!}+\frac{4!}{.4}$$
$$4160 = {\sqrt{\sqrt{4}}}^{4!}+\sqrt{{\sqrt{\sqrt{4}}}^{4!}}$$
$$4192 = {\sqrt{\sqrt{4}}}^{4!}+\left(4!\times4\right)$$
$$4224 = \left(4!\times44\right)\times4$$
$$4225 = {\sqrt{\frac{\left(\sqrt{4}+4!\right)}{.4}}}^{4}$$
$$4320 = \frac{{\sqrt{\sqrt{\sqrt{\frac{4!}{\sqrt{4}}}}}}^{4!}}{.4}$$
$$4352 = {\sqrt{\sqrt{4}}}^{4!}+{4}^{4}$$
$$4356 = \frac{{\sqrt{44}}^{4}}{.\dot{4}}$$
$$4374 = \sqrt{.\dot{4}}\times{\frac{4}{.\dot{4}}}^{4}$$
$$4394 = \frac{{\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}}{4}$$
$$4444 = 4444$$
$$4608 = \left(4!\times4!\right)\times\left(4+4\right)$$
$$4624 = {\left(4!+44\right)}^{\sqrt{4}}$$
$$4672 = {\sqrt{\sqrt{4}}}^{4!}+\left(4!\times4!\right)$$
$$4840 = \frac{{\sqrt{44}}^{4}}{.4}$$
$$4900 = {\frac{\left(4+4!\right)}{.4}}^{\sqrt{4}}$$
$$5000 = \frac{{\frac{4}{.4}}^{4}}{\sqrt{4}}$$
$$5120 = \left(4!-4\right)\times{4}^{4}$$
$$5184 = {\left(4+\sqrt{4}\right)}^{4}\times4$$
$$5324 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}}{\sqrt{4}}$$
$$5400 = \frac{{\sqrt{\frac{4!}{.4}}}^{4}}{\sqrt{.\dot{4}}}$$
$$5488 = \frac{{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}}{4}$$
$$5568 = 4!\times\left({4}^{4}-4!\right)$$
$$5625 = \frac{{\frac{\sqrt{4!}}{.4}}^{4}}{4}$$
$$5632 = {4}^{4}\times\left(4!-\sqrt{4}\right)$$
$$5760 = \frac{{4}^{4}}{\left(.\dot{4}-.4\right)}$$
$$5832 = \sqrt{4}\times{\frac{4!}{.\dot{4}}}^{\sqrt{4}}$$
$$6048 = 4!\times\left({4}^{4}-4\right)$$
$$6084 = {\left(\frac{4!}{.\dot{4}}+4!\right)}^{\sqrt{4}}$$
$$6096 = 4!\times\left({4}^{4}-\sqrt{4}\right)$$
$$6108 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4!\right)}{\sqrt{.\dot{4}}}$$
$$6120 = \left({4}^{4}\times4!\right)-4!$$
$$6128 = 4!\times\left({4}^{4}-\sqrt{.\dot{4}}\right)$$
$$6138 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4\right)}{\sqrt{.\dot{4}}}$$
$$6140 = \left({4}^{4}\times4!\right)-4$$
$$6141 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{4}\right)}{\sqrt{.\dot{4}}}$$
$$6142 = \left({4}^{4}\times4!\right)-\sqrt{4}$$
$$6143 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}$$
$$6144 = \frac{{\left(4+4\right)}^{4}}{\sqrt{.\dot{4}}}$$
$$6145 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}+\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}$$
$$6146 = \sqrt{4}+\left({4}^{4}\times4!\right)$$
$$6147 = \frac{\left(\sqrt{4}+{\sqrt{\sqrt{4}}}^{4!}\right)}{\sqrt{.\dot{4}}}$$
$$6148 = 4+\left({4}^{4}\times4!\right)$$
$$6150 = \frac{\left(4+{\sqrt{\sqrt{4}}}^{4!}\right)}{\sqrt{.\dot{4}}}$$
$$6160 = \left({4}^{4}+\sqrt{.\dot{4}}\right)\times4!$$
$$6168 = \left({4}^{4}\times4!\right)+4!$$
$$6180 = \frac{\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)}{\sqrt{.\dot{4}}}$$
$$6192 = 4!\times\left(\sqrt{4}+{4}^{4}\right)$$
$$6240 = 4!\times\left(4+{4}^{4}\right)$$
$$6250 = .4\times{\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}$$
$$6400 = 4\times{\frac{4}{\sqrt{.4}}}^{4}$$
$$6537 = {\frac{4}{.\dot{4}}}^{4}-4!$$
$$6557 = {\frac{4}{.\dot{4}}}^{4}-4$$
$$6559 = {\frac{4}{.\dot{4}}}^{4}-\sqrt{4}$$
$$6561 = {\frac{\left(4-.4\right)}{.4}}^{4}$$
$$6563 = {\frac{4}{.\dot{4}}}^{4}+\sqrt{4}$$
$$6565 = {\frac{4}{.\dot{4}}}^{4}+4$$
$$6585 = 4!+{\frac{4}{.\dot{4}}}^{4}$$
$$6656 = \left(\sqrt{4}+4!\right)\times{4}^{4}$$
$$6720 = 4!\times\left({4}^{4}+4!\right)$$
$$6859 = {\sqrt{\sqrt{\sqrt{\left(4!-\frac{\sqrt{4}}{.4}\right)}}}}^{4!}$$
$$6912 = 4!\times\sqrt{\frac{{4!}^{4}}{4}}$$
$$7056 = {\left(4!+\frac{4!}{.4}\right)}^{\sqrt{4}}$$
$$7168 = \left(4+4!\right)\times{4}^{4}$$
$$7200 = \sqrt{4}\times{\sqrt{\frac{4!}{.4}}}^{4}$$
$$7290 = \frac{{\frac{4!}{.\dot{4}}}^{\sqrt{4}}}{.4}$$
$$7744 = 4\times{\sqrt{44}}^{4}$$
$$7776 = {\sqrt{\left(4+\sqrt{4}\right)}}^{\frac{4}{.4}}$$
$$7976 = {\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}-4!$$
$$7996 = {\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}-4$$
$$7998 = {\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}-\sqrt{4}$$
$$8000 = {\left(4!-4\right)}^{\sqrt{\frac{4}{.\dot{4}}}}$$
$$8002 = \sqrt{4}+{\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}$$
$$8004 = 4+{\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}$$
$$8024 = {\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}+4!$$
$$8100 = {\frac{4}{\left(.\dot{4}-.4\right)}}^{\sqrt{4}}$$
$$8144 = \sqrt{4}\times\left({\sqrt{\sqrt{4}}}^{4!}-4!\right)$$
$$8168 = \left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{4}\right)-4!$$
$$8184 = \sqrt{4}\times\left({\sqrt{\sqrt{4}}}^{4!}-4\right)$$
$$8188 = \left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{4}\right)-4$$
$$8190 = \left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{4}\right)-\sqrt{4}$$
$$8192 = {\left(4+4\right)}^{4}\times\sqrt{4}$$
$$8194 = \sqrt{4}+\left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{4}\right)$$
$$8196 = 4+\left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{4}\right)$$
$$8200 = \sqrt{4}\times\left(4+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$8216 = 4!+\left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{4}\right)$$
$$8240 = \sqrt{4}\times\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$8464 = {\sqrt{\left(\left(4!\times4\right)-4\right)}}^{4}$$
$$8788 = \frac{{\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}}{\sqrt{4}}$$
$$8836 = {\left(\left(4!\times4\right)-\sqrt{4}\right)}^{\sqrt{4}}$$
$$9000 = {\frac{\sqrt{4!}}{.4}}^{4}\times.4$$
$$9162 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4!\right)}{.\dot{4}}$$
$$9192 = {\sqrt{\left(4!\times4\right)}}^{4}-4!$$
$$9207 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4\right)}{.\dot{4}}$$
$$9212 = {\sqrt{\left(4!\times4\right)}}^{4}-4$$
$$9214 = {\sqrt{\left(4!\times4\right)}}^{4}-\sqrt{4}$$
$$9215 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-.\dot{4}\right)}{.\dot{4}}$$
$$9216 = \frac{{\left(4+4\right)}^{4}}{.\dot{4}}$$
$$9217 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}+.\dot{4}\right)}{.\dot{4}}$$
$$9218 = \sqrt{4}+{\sqrt{\left(4!\times4\right)}}^{4}$$
$$9220 = 4+{\sqrt{\left(4!\times4\right)}}^{4}$$
$$9225 = \frac{\left(4+{\sqrt{\sqrt{4}}}^{4!}\right)}{.\dot{4}}$$
$$9240 = {\sqrt{\left(4!\times4\right)}}^{4}+4!$$
$$9261 = {\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{\frac{4}{.\dot{4}}}\right)}}}}^{4!}$$
$$9270 = \frac{\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)}{.\dot{4}}$$
$$9600 = 4!\times\sqrt{{\left(4!-4\right)}^{4}}$$
$$9604 = {\sqrt{\left(\sqrt{4}+\left(4!\times4\right)\right)}}^{4}$$
$$9801 = {\sqrt{\frac{44}{.\dot{4}}}}^{4}$$
$$9976 = {\frac{4}{.4}}^{4}-4!$$
$$9996 = {\frac{4}{.4}}^{4}-4$$
$$9998 = {\frac{4}{.4}}^{4}-\sqrt{4}$$
$$10000 = {\frac{\left(4+.\dot{4}\right)}{.\dot{4}}}^{4}$$
$$10002 = {\frac{4}{.4}}^{4}+\sqrt{4}$$
$$10004 = 4+{\frac{4}{.4}}^{4}$$
$$10024 = {\frac{4}{.4}}^{4}+4!$$
$$10180 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4!\right)}{.4}$$
$$10216 = \frac{{\sqrt{\sqrt{4}}}^{4!}}{.4}-4!$$
$$10230 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-4\right)}{.4}$$
$$10235 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{4}\right)}{.4}$$
$$10236 = \frac{{\sqrt{\sqrt{4}}}^{4!}}{.4}-4$$
$$10238 = \frac{{\sqrt{\sqrt{4}}}^{4!}}{.4}-\sqrt{4}$$
$$10239 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}-.4\right)}{.4}$$
$$10240 = \frac{{\left(4+4\right)}^{4}}{.4}$$
$$10241 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}+.4\right)}{.4}$$
$$10242 = \sqrt{4}+\frac{{\sqrt{\sqrt{4}}}^{4!}}{.4}$$
$$10244 = 4+\frac{{\sqrt{\sqrt{4}}}^{4!}}{.4}$$
$$10245 = \frac{\left(\sqrt{4}+{\sqrt{\sqrt{4}}}^{4!}\right)}{.4}$$
$$10250 = \frac{\left(4+{\sqrt{\sqrt{4}}}^{4!}\right)}{.4}$$
$$10264 = 4!+\frac{{\sqrt{\sqrt{4}}}^{4!}}{.4}$$
$$10300 = \frac{\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)}{.4}$$
$$10368 = \frac{{\frac{4!}{\sqrt{4}}}^{4}}{\sqrt{4}}$$
$$10624 = {\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}-4!$$
$$10644 = {\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}-4$$
$$10646 = {\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}-\sqrt{4}$$
$$10648 = {\left(4!-\sqrt{4}\right)}^{\sqrt{\frac{4}{.\dot{4}}}}$$
$$10650 = {\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}+\sqrt{4}$$
$$10652 = 4+{\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}$$
$$10656 = 444\times4!$$
$$10672 = {\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}+4!$$
$$10816 = {\sqrt{\left(4\times\left(\sqrt{4}+4!\right)\right)}}^{4}$$
$$10976 = \frac{{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}}{\sqrt{4}}$$
$$11250 = \frac{{\frac{\sqrt{4!}}{.4}}^{4}}{\sqrt{4}}$$
$$11264 = {4}^{4}\times44$$
$$11520 = 4!\times\left(4!\times\left(4!-4\right)\right)$$
$$11616 = 4!\times{\left(4!-\sqrt{4}\right)}^{\sqrt{4}}$$
$$11664 = 4\times{\frac{4!}{.\dot{4}}}^{\sqrt{4}}$$
$$12000 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}}{\sqrt{.\dot{4}}}$$
$$12100 = {\frac{44}{.4}}^{\sqrt{4}}$$
$$12150 = \frac{4!}{{\left(.\dot{4}-.4\right)}^{\sqrt{4}}}$$
$$12167 = {\sqrt{\sqrt{\sqrt{\left(4!-\frac{4}{4}\right)}}}}^{4!}$$
$$12288 = \left(\sqrt{4}\times{4}^{4}\right)\times4!$$
$$12544 = {\left(4\times\left(4+4!\right)\right)}^{\sqrt{4}}$$
$$12672 = \left(\left(4!-\sqrt{4}\right)\times4!\right)\times4!$$
$$12696 = {\sqrt{\left(\left(\sqrt{4!}\times4!\right)-\sqrt{4!}\right)}}^{4}$$
$$12960 = 4!\times\frac{4!}{\left(.\dot{4}-.4\right)}$$
$$13122 = \sqrt{4}\times{\frac{4}{.\dot{4}}}^{4}$$
$$13248 = 4!\times\left(\left(4!\times4!\right)-4!\right)$$
$$13440 = \left(\left(4!-\sqrt{.\dot{4}}\right)\times4!\right)\times4!$$
$$13568 = 4!\times\left(\left(4!-.\dot{4}\right)\times4!\right)$$
$$13728 = \left(\left(4!\times4!\right)-4\right)\times4!$$
$$13776 = \left(\left(4!\times4!\right)-\sqrt{4}\right)\times4!$$
$$13800 = \frac{{4!}^{4}}{4!}-4!$$
$$13808 = \left(\left(4!\times4!\right)-\sqrt{.\dot{4}}\right)\times4!$$
$$13820 = \frac{{4!}^{4}}{4!}-4$$
$$13822 = \frac{{4!}^{4}}{4!}-\sqrt{4}$$
$$13823 = \frac{\left({4!}^{4}-4!\right)}{4!}$$
$$13824 = {4!}^{\left(4-\frac{4}{4}\right)}$$
$$13825 = \frac{\left(4!+{4!}^{4}\right)}{4!}$$
$$13826 = \sqrt{4}+\frac{{4!}^{4}}{4!}$$
$$13828 = 4+\frac{{4!}^{4}}{4!}$$
$$13840 = 4!\times\left(\left(4!\times4!\right)+\sqrt{.\dot{4}}\right)$$
$$13848 = 4!+\frac{{4!}^{4}}{4!}$$
$$13872 = 4!\times\left(\sqrt{4}+\left(4!\times4!\right)\right)$$
$$13920 = 4!\times\left(\left(4!\times4!\right)+4\right)$$
$$14080 = \left(4!\times4!\right)\times\left(.\dot{4}+4!\right)$$
$$14208 = \left(4!\times\left(\sqrt{.\dot{4}}+4!\right)\right)\times4!$$
$$14400 = {\sqrt{\frac{4!}{.4}}}^{4}\times4$$
$$14641 = {\frac{44}{4}}^{4}$$
$$14976 = \left(\left(\sqrt{4}+4!\right)\times4!\right)\times4!$$
$$15000 = \frac{{\frac{4}{.4}}^{4}}{\sqrt{.\dot{4}}}$$
$$15360 = 4!\times\frac{{4}^{4}}{.4}$$
$$15601 = {\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}-4!$$
$$15621 = {\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}-4$$
$$15623 = {\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}-\sqrt{4}$$
$$15625 = {\frac{\sqrt{4}}{.4}}^{\left(4+\sqrt{4}\right)}$$
$$15627 = {\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}+\sqrt{4}$$
$$15629 = {\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}+4$$
$$15649 = 4!+{\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}$$
$$15972 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}}{\sqrt{.\dot{4}}}$$
$$16000 = \frac{{\sqrt{\sqrt{\frac{4}{\sqrt{.4}}}}}^{4!}}{4}$$
$$16128 = \left(\left(4+4!\right)\times4!\right)\times4!$$
$$16224 = 4!\times\sqrt{{\left(\sqrt{4}+4!\right)}^{4}}$$
$$16288 = 4\times\left({\sqrt{\sqrt{4}}}^{4!}-4!\right)$$
$$16360 = \left(4\times{\sqrt{\sqrt{4}}}^{4!}\right)-4!$$
$$16368 = \left({\sqrt{\sqrt{4}}}^{4!}-4\right)\times4$$
$$16376 = 4\times\left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{4}\right)$$
$$16380 = \left(4\times{\sqrt{\sqrt{4}}}^{4!}\right)-4$$
$$16382 = \left(4\times{\sqrt{\sqrt{4}}}^{4!}\right)-\sqrt{4}$$
$$16384 = {\left(4+4\right)}^{4}\times4$$
$$16386 = \left(4\times{\sqrt{\sqrt{4}}}^{4!}\right)+\sqrt{4}$$
$$16388 = 4+\left(4\times{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$16392 = 4\times\left(\sqrt{4}+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$16400 = 4\times\left(4+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$16408 = 4!+\left(4\times{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$16480 = \left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)\times4$$
$$17496 = 4!\times{\sqrt{\sqrt{\sqrt{\frac{4}{.\dot{4}}}}}}^{4!}$$
$$17552 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}-4!$$
$$17572 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}-4$$
$$17574 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}-\sqrt{4}$$
$$17576 = {\left(\sqrt{4}+4!\right)}^{\sqrt{\frac{4}{.\dot{4}}}}$$
$$17578 = \sqrt{4}+{\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}$$
$$17580 = 4+{\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}$$
$$17600 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}+4!$$
$$18000 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}}{.\dot{4}}$$
$$18225 = {\sqrt{\frac{4!}{\left(.4\times.\dot{4}\right)}}}^{4}$$
$$18432 = {\sqrt{\left(4!\times4\right)}}^{4}\times\sqrt{4}$$
$$18816 = 4!\times\sqrt{{\left(4+4!\right)}^{4}}$$
$$19683 = {\frac{4}{.\dot{4}}}^{\frac{\sqrt{4}}{.\dot{4}}}$$
$$20000 = \sqrt{4}\times{\frac{4}{.4}}^{4}$$
$$20480 = \frac{\left({\sqrt{\sqrt{4}}}^{4!}\times\sqrt{4}\right)}{.4}$$
$$20712 = {\frac{4!}{\sqrt{4}}}^{4}-4!$$
$$20732 = {\frac{4!}{\sqrt{4}}}^{4}-4$$
$$20734 = {\frac{4!}{\sqrt{4}}}^{4}-\sqrt{4}$$
$$20736 = {\left(4+\left(4+4\right)\right)}^{4}$$
$$20738 = {\frac{4!}{\sqrt{4}}}^{4}+\sqrt{4}$$
$$20740 = {\frac{4!}{\sqrt{4}}}^{4}+4$$
$$20760 = 4!+{\frac{4!}{\sqrt{4}}}^{4}$$
$$21296 = \frac{{\sqrt{\sqrt{\sqrt{44}}}}^{4!}}{4}$$
$$21928 = {\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}-4!$$
$$21948 = {\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}-4$$
$$21950 = {\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}-\sqrt{4}$$
$$21952 = {\left(4+4!\right)}^{\sqrt{\frac{4}{.\dot{4}}}}$$
$$21954 = {\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}+\sqrt{4}$$
$$21956 = {\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}+4$$
$$21976 = 4!+{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}$$
$$22476 = {\frac{\sqrt{4!}}{.4}}^{4}-4!$$
$$22496 = {\frac{\sqrt{4!}}{.4}}^{4}-4$$
$$22498 = {\frac{\sqrt{4!}}{.4}}^{4}-\sqrt{4}$$
$$22500 = \frac{{\frac{4}{.4}}^{4}}{.\dot{4}}$$
$$22502 = {\frac{\sqrt{4!}}{.4}}^{4}+\sqrt{4}$$
$$22504 = 4+{\frac{\sqrt{4!}}{.4}}^{4}$$
$$22524 = {\frac{\sqrt{4!}}{.4}}^{4}+4!$$
$$23040 = \frac{{\sqrt{\left(4!\times4\right)}}^{4}}{.4}$$
$$23328 = \frac{{\sqrt{\sqrt{\left(4+\sqrt{4}\right)}}}^{4!}}{\sqrt{4}}$$
$$23958 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}}{.\dot{4}}$$
$$24000 = \sqrt{{\sqrt{\sqrt{\frac{4}{.4}}}}^{4!}}\times4!$$
$$24389 = {\sqrt{\sqrt{\sqrt{\left(\frac{\sqrt{4}}{.4}+4!\right)}}}}^{4!}$$
$$24576 = \left({4}^{4}\times4!\right)\times4$$
$$25000 = \frac{{\frac{4}{.4}}^{4}}{.4}$$
$$25344 = 4!\times\left(4!\times44\right)$$
$$25600 = {\frac{\left(4+4\right)}{\sqrt{.4}}}^{4}$$
$$26244 = 4\times{\frac{4}{.\dot{4}}}^{4}$$
$$26364 = \frac{{\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}}{\sqrt{.\dot{4}}}$$
$$26620 = \frac{{\sqrt{\sqrt{\sqrt{\left(4!-\sqrt{4}\right)}}}}^{4!}}{.4}$$
$$27000 = {\sqrt{\sqrt{\sqrt{\frac{4!}{\left(.4+.4\right)}}}}}^{4!}$$
$$27648 = \left(\left(4!\times4!\right)\times\sqrt{4}\right)\times4!$$
$$28561 = {\left(4+\frac{4}{.\dot{4}}\right)}^{4}$$
$$30625 = {\frac{\sqrt{\left(4+4!\right)}}{.4}}^{4}$$
$$30976 = {\left(4\times44\right)}^{\sqrt{4}}$$
$$31104 = 4!\times{\left(4+\sqrt{4}\right)}^{4}$$
$$31250 = {\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{4!}\times\sqrt{4}$$
$$32000 = {\sqrt{\sqrt{\sqrt{\left(4!-4\right)}}}}^{4!}\times4$$
$$32744 = {\sqrt{\sqrt{\sqrt{4}}}}^{\frac{4!}{.4}}-4!$$
$$32764 = {\sqrt{\sqrt{\sqrt{4}}}}^{\frac{4!}{.4}}-4$$
$$32766 = {\sqrt{\sqrt{\sqrt{4}}}}^{\frac{4!}{.4}}-\sqrt{4}$$
$$32768 = \frac{{\left(4\times4\right)}^{4}}{\sqrt{4}}$$
$$32770 = {\sqrt{\sqrt{\sqrt{4}}}}^{\frac{4!}{.4}}+\sqrt{4}$$
$$32772 = {\sqrt{\sqrt{\sqrt{4}}}}^{\frac{4!}{.4}}+4$$
$$32792 = 4!+{\sqrt{\sqrt{\sqrt{4}}}}^{\frac{4!}{.4}}$$
$$32928 = \frac{{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}}{\sqrt{.\dot{4}}}$$
$$33750 = \frac{{\frac{\sqrt{4!}}{.4}}^{4}}{\sqrt{.\dot{4}}}$$
$$34560 = \frac{{4!}^{4}}{\left(4!\times.4\right)}$$
$$35152 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}\times\sqrt{4}$$
$$35937 = {\sqrt{\sqrt{\sqrt{\left(\frac{4}{.\dot{4}}+4!\right)}}}}^{4!}$$
$$36864 = \frac{{4!}^{4}}{4}\times.\dot{4}$$
$$38400 = {\frac{4}{\sqrt{.4}}}^{4}\times4!$$
$$38416 = {\left(\frac{4}{.4}+4\right)}^{4}$$
$$39304 = {\sqrt{\sqrt{\sqrt{\left(4!+\frac{4}{.4}\right)}}}}^{4!}$$
$$39366 = \frac{{\sqrt{\sqrt{\sqrt{\frac{4!}{.\dot{4}}}}}}^{4!}}{4}$$
$$39546 = \frac{{\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}}{.\dot{4}}$$
$$40000 = {\frac{4}{.4}}^{4}\times4$$
$$40960 = \frac{\left(4\times{\sqrt{\sqrt{4}}}^{4!}\right)}{.4}$$
$$41472 = \frac{{4!}^{4}}{\left(4+4\right)}$$
$$42592 = \frac{{\sqrt{\sqrt{\sqrt{44}}}}^{4!}}{\sqrt{4}}$$
$$42875 = {\sqrt{\sqrt{\sqrt{\frac{\left(4!-\sqrt{.\dot{4}}\right)}{\sqrt{.\dot{4}}}}}}}^{4!}$$
$$43904 = \sqrt{4}\times{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}$$
$$43940 = \frac{{\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}}{.4}$$
$$45000 = {\frac{\sqrt{4!}}{.4}}^{4}\times\sqrt{4}$$
$$46464 = 4!\times{\sqrt{44}}^{4}$$
$$46632 = {\sqrt{\sqrt{\left(4+\sqrt{4}\right)}}}^{4!}-4!$$
$$46652 = {\sqrt{\sqrt{\left(4+\sqrt{4}\right)}}}^{4!}-4$$
$$46654 = {\sqrt{\sqrt{\left(4+\sqrt{4}\right)}}}^{4!}-\sqrt{4}$$
$$46656 = {\left(4+\sqrt{4}\right)}^{\left(4+\sqrt{4}\right)}$$
$$46658 = {\sqrt{\sqrt{\left(4+\sqrt{4}\right)}}}^{4!}+\sqrt{4}$$
$$46660 = {\sqrt{\sqrt{\left(4+\sqrt{4}\right)}}}^{4!}+4$$
$$46680 = 4!+{\sqrt{\sqrt{\left(4+\sqrt{4}\right)}}}^{4!}$$
$$46875 = 4!\times{\sqrt{\sqrt{\frac{\sqrt{\sqrt{4}}}{.4}}}}^{4!}$$
$$49152 = {\sqrt{\sqrt{\sqrt{4}}}}^{44}\times4!$$
$$49392 = \frac{{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}}{.\dot{4}}$$
$$50625 = {\frac{4!}{\left(4\times.4\right)}}^{4}$$
$$50653 = {\sqrt{\sqrt{\frac{\sqrt{\left(\sqrt{.\dot{4}}+4!\right)}}{\sqrt{\sqrt{.\dot{4}}}}}}}^{4!}$$
$$51840 = \frac{{\frac{4!}{\sqrt{4}}}^{4}}{.4}$$
$$53824 = {\left({4}^{4}-4!\right)}^{\sqrt{4}}$$
$$54000 = \frac{{\sqrt{\sqrt{\sqrt{\frac{4!}{.4}}}}}^{4!}}{4}$$
$$54872 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+\frac{4!}{\sqrt{.\dot{4}}}\right)}}}}^{4!}$$
$$54880 = \frac{{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}}{.4}$$
$$55296 = 4\times\frac{{4!}^{4}}{4!}$$
$$56250 = \frac{{\frac{\sqrt{4!}}{.4}}^{4}}{.4}$$
$$57600 = {\sqrt{\frac{\left(4!\times4\right)}{.4}}}^{4}$$
$$58564 = \frac{{\left(4!-\sqrt{4}\right)}^{4}}{4}$$
$$59049 = {\sqrt{\frac{4}{.\dot{4}}}}^{\frac{4}{.4}}$$
$$59319 = {\sqrt{\sqrt{\sqrt{\frac{\left(\sqrt{4}+4!\right)}{\sqrt{.\dot{4}}}}}}}^{4!}$$
$$62500 = {\frac{4}{\left(\sqrt{.4}\times.4\right)}}^{4}$$
$$63504 = {\left({4}^{4}-4\right)}^{\sqrt{4}}$$
$$63976 = {\sqrt{\sqrt{\frac{4}{\sqrt{.4}}}}}^{4!}-4!$$
$$63996 = {\sqrt{\sqrt{\frac{4}{\sqrt{.4}}}}}^{4!}-4$$
$$63998 = {\sqrt{\sqrt{\frac{4}{\sqrt{.4}}}}}^{4!}-\sqrt{4}$$
$$64000 = .4\times{\left(4!-4\right)}^{4}$$
$$64002 = {\sqrt{\sqrt{\frac{4}{\sqrt{.4}}}}}^{4!}+\sqrt{4}$$
$$64004 = 4+{\sqrt{\sqrt{\frac{4}{\sqrt{.4}}}}}^{4!}$$
$$64024 = 4!+{\sqrt{\sqrt{\frac{4}{\sqrt{.4}}}}}^{4!}$$
$$64516 = {\left({4}^{4}-\sqrt{4}\right)}^{\sqrt{4}}$$
$$65512 = {\left(4\times4\right)}^{4}-4!$$
$$65532 = {\left(4\times4\right)}^{4}-4$$
$$65534 = {\left(4\times4\right)}^{4}-\sqrt{4}$$
$$65536 = {4}^{\frac{\left(4-.\dot{4}\right)}{.\dot{4}}}$$
$$65538 = {\left(4\times4\right)}^{4}+\sqrt{4}$$
$$65540 = 4+{\left(4\times4\right)}^{4}$$
$$65560 = {\left(4\times4\right)}^{4}+4!$$
$$66564 = {\left(\sqrt{4}+{4}^{4}\right)}^{\sqrt{4}}$$
$$67600 = {\left(4+{4}^{4}\right)}^{\sqrt{4}}$$
$$69984 = {\frac{4!}{.\dot{4}}}^{\sqrt{4}}\times4!$$
$$70304 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+4!\right)}}}}^{4!}\times4$$
$$73728 = \frac{\left(.\dot{4}\times{4!}^{4}\right)}{\sqrt{4}}$$
$$74088 = {\sqrt{\sqrt{\sqrt{\left(44-\sqrt{4}\right)}}}}^{4!}$$
$$75625 = {\frac{\sqrt{44}}{.4}}^{4}$$
$$78125 = {\sqrt{\sqrt{\frac{\sqrt{4}}{.4}}}}^{\left(4+4!\right)}$$
$$78400 = {\sqrt{\left({4}^{4}+4!\right)}}^{4}$$
$$78732 = \frac{{\sqrt{\sqrt{\sqrt{\frac{4!}{.\dot{4}}}}}}^{4!}}{\sqrt{4}}$$
$$80000 = \frac{{\left(4!-4\right)}^{4}}{\sqrt{4}}$$
$$81920 = \left(4!-4\right)\times{\sqrt{\sqrt{4}}}^{4!}$$
$$82920 = \frac{{4!}^{4}}{4}-4!$$
$$82938 = \frac{\left({4!}^{4}-4!\right)}{4}$$
$$82940 = \frac{{4!}^{4}}{4}-4$$
$$82942 = \frac{{4!}^{4}}{4}-\sqrt{4}$$
$$82943 = \frac{\left({4!}^{4}-4\right)}{4}$$
$$82944 = \frac{{\sqrt{\left(4\times4\right)}!}^{4}}{4}$$
$$82945 = \frac{\left(4+{4!}^{4}\right)}{4}$$
$$82946 = \sqrt{4}+\frac{{4!}^{4}}{4}$$
$$82948 = 4+\frac{{4!}^{4}}{4}$$
$$82950 = \frac{\left(4!+{4!}^{4}\right)}{4}$$
$$82968 = 4!+\frac{{4!}^{4}}{4}$$
$$85160 = {\sqrt{\sqrt{\sqrt{44}}}}^{4!}-4!$$
$$85180 = {\sqrt{\sqrt{\sqrt{44}}}}^{4!}-4$$
$$85182 = {\sqrt{\sqrt{\sqrt{44}}}}^{4!}-\sqrt{4}$$
$$85184 = {44}^{\sqrt{\frac{4}{.\dot{4}}}}$$
$$85186 = {\sqrt{\sqrt{\sqrt{44}}}}^{4!}+\sqrt{4}$$
$$85188 = {\sqrt{\sqrt{\sqrt{44}}}}^{4!}+4$$
$$85208 = 4!+{\sqrt{\sqrt{\sqrt{44}}}}^{4!}$$
$$86400 = {\sqrt{\frac{4!}{.4}}}^{4}\times4!$$
$$86436 = {\left(\frac{\sqrt{4!}}{.4}+\sqrt{4!}\right)}^{4}$$
$$87808 = 4\times{\sqrt{\sqrt{\sqrt{\left(4+4!\right)}}}}^{4!}$$
$$90000 = 4\times{\frac{\sqrt{4!}}{.4}}^{4}$$
$$90112 = \left(4!-\sqrt{4}\right)\times{\sqrt{\sqrt{4}}}^{4!}$$
$$91125 = {\sqrt{\sqrt{\sqrt{\frac{\left(4!-4\right)}{.\dot{4}}}}}}^{4!}$$
$$92160 = \frac{{4!}^{4}}{\left(4-.4\right)}$$
$$93312 = \frac{{4!}^{4}}{\left(4-.\dot{4}\right)}$$
$$96000 = {\sqrt{\sqrt{\sqrt{\frac{4!}{.4}}}}}^{4!}\times.\dot{4}$$
$$97336 = {\sqrt{\sqrt{\sqrt{\left(\sqrt{4}+44\right)}}}}^{4!}$$
$$97728 = \left({\sqrt{\sqrt{4}}}^{4!}-4!\right)\times4!$$
$$98208 = \left({\sqrt{\sqrt{4}}}^{4!}-4\right)\times4!$$
$$98256 = 4!\times\left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{4}\right)$$
$$98280 = \left({\sqrt{\sqrt{4}}}^{4!}\times4!\right)-4!$$
$$98288 = 4!\times\left({\sqrt{\sqrt{4}}}^{4!}-\sqrt{.\dot{4}}\right)$$
$$98300 = \left({\sqrt{\sqrt{4}}}^{4!}\times4!\right)-4$$
$$98302 = \left({\sqrt{\sqrt{4}}}^{4!}\times4!\right)-\sqrt{4}$$
$$98304 = {\left(4+4\right)}^{4}\times4!$$
$$98306 = \left({\sqrt{\sqrt{4}}}^{4!}\times4!\right)+\sqrt{4}$$
$$98308 = 4+\left({\sqrt{\sqrt{4}}}^{4!}\times4!\right)$$
$$98320 = \left({\sqrt{\sqrt{4}}}^{4!}+\sqrt{.\dot{4}}\right)\times4!$$
$$98328 = \left({\sqrt{\sqrt{4}}}^{4!}\times4!\right)+4!$$
$$98352 = 4!\times\left(\sqrt{4}+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$98400 = 4!\times\left(4+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$98880 = 4!\times\left(4!+{\sqrt{\sqrt{4}}}^{4!}\right)$$
$$100000 = {\frac{4}{.4}}^{\frac{\sqrt{4}}{.4}}$$

Posted on: 2015年11月15日, by : UMU