\(57=\lfloor{\sqrt{5^5}}\rfloor+\frac{5}{5}+\frac{5}{5}\)
\(58=\lceil{\sqrt{5^5}}\rceil+\frac{5}{5}+\frac{5}{5}\)
\(59=\lfloor{\sqrt{5\cdot5\cdot5!}}\rfloor+\sqrt{5\cdot5}\)
\(60=\lfloor{\sqrt{5\cdot5\cdot5!}}\rfloor+\lfloor\sqrt{5}\rfloor\cdot\lceil\sqrt{5}\rceil\)
\(61=(5-\frac{5}{5})^{\lceil\sqrt{5}\rceil}-\lceil\sqrt{5}\rceil\)
\(62=(5-\frac{5}{5})^{\lceil\sqrt{5}\rceil}-\lfloor\sqrt{5}\rfloor\)
\(63=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}-\frac{5}{5}\)
\(64=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}-5+5\)
\(65=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\frac{5}{5}\)
\(66=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\lfloor\sqrt{\sqrt{5}\cdot\sqrt{5}}\rfloor\)
\(67=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\lceil\sqrt{\sqrt{5}\cdot\sqrt{5}}\rceil\)
\(68=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor\)
\(69=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\lfloor\sqrt{5}\rfloor+\lceil\sqrt{5}\rceil\)
\(70=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\lceil\sqrt{5}\rceil+\lceil\sqrt{5}\rceil\)
\(71=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\lfloor\sqrt{5}\rfloor+5\)
\(72=(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+\lceil\sqrt{5}\rceil+5\)
\(73=(5\cdot5\cdot\lceil\sqrt{5}\rceil)-\lfloor\sqrt{\sqrt{{5\cdot5}}}\rfloor\)
\(74=(5\cdot5\cdot\lceil\sqrt{5}\rceil)-\frac{5}{5}\)
\(75=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+5-5\)
\(76=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\frac{5}{5}\)
\(77=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lfloor\sqrt{\sqrt{{5\cdot5}}}\rfloor\)
\(78=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lceil\sqrt{\sqrt{{5\cdot5}}}\rceil\)
\(79=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor\)
\(80=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lfloor\sqrt{5}\rfloor+\lceil\sqrt{5}\rceil\)
\(81=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lceil\sqrt{5}\rceil+\lceil\sqrt{5}\rceil\)
\(82=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lfloor\sqrt{5}\rfloor+5\)
\(83=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lceil\sqrt{5}\rceil+5\)
\(84=(\lfloor\sqrt{5}\rfloor\cdot\lfloor\sqrt{5}\rfloor\cdot\lceil\sqrt{5}\rceil)\cdot(5+\lfloor\sqrt{5}\rfloor)\)
\(85=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+5+5\)
\(86=(5\cdot(5+\lceil\sqrt{5}\rceil)+\lceil\sqrt{5}\rceil)\cdot\lfloor\sqrt{5}\rfloor\)
\(87=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+\lceil\sqrt{5!+5}\rceil\)
\(88=(5+\lceil\sqrt{5}\rceil\cdot\lfloor\sqrt{5}\rfloor)\cdot(5+\lceil\sqrt{5}\rceil)\)
\(89=(\lceil\sqrt{5}\rceil^{\lceil\sqrt{5}\rceil}\cdot\lceil\sqrt{5}\rceil)+\lfloor\sqrt{5}\rfloor^{\lceil\sqrt{5}\rceil}\)
\(90=(5\cdot5\cdot\lceil\sqrt{5}\rceil)+5\cdot\lceil\sqrt{5}\rceil\)
\(91=(5+5+\lceil\sqrt{5}\rceil)\cdot(5+\lfloor\sqrt{5}\rfloor)\)
\(92=(5\cdot5-\lfloor\sqrt{5}\rfloor)\cdot(\lfloor\sqrt{5}\rfloor+\lfloor\sqrt{5}\rfloor)\)
\(93=(5+\lfloor\sqrt{5}\rfloor)^{\lfloor\sqrt{5}\rfloor}\cdot\lfloor\sqrt{5}\rfloor-5\)
\(94=(5+5)^{\lfloor\sqrt{5}\rfloor}-\lfloor\sqrt{5}\rfloor\cdot\lceil\sqrt{5}\rceil\)
\(95=(5+5)^{\lfloor\sqrt{5}\rfloor}-\sqrt{5\cdot5}\)
\(96=(5+5)^{\lfloor\sqrt{5}\rfloor}-\lfloor\sqrt{5}\rfloor^{\lfloor\sqrt{5}\rfloor}\)
\(97=5\cdot5\cdot\lfloor\sqrt{5}\rfloor\cdot\lfloor\sqrt{5}\rfloor-\lceil\sqrt{5}\rceil\)
\(98=5\cdot5\cdot\lfloor\sqrt{5}\rfloor\cdot\lfloor\sqrt{5}\rfloor-\lfloor\sqrt{5}\rfloor\)
\(99=5\cdot5\cdot\lfloor\sqrt{5}\rfloor^{\lfloor\sqrt{5}\rfloor}-\frac{5}{5}\)
\(100=(5\cdot\lfloor\sqrt{5}\rfloor\cdot\lfloor\sqrt{5}\rfloor)\cdot\sqrt{5\cdot5}=(5+5+5+5)\cdot5
=5\cdot5\cdot(5-\frac{5}{5})=5!-(5+5+5+5)\)
\(1000=(5\cdot\lfloor\sqrt{5}\rfloor)^{\lceil\sqrt{5}\rceil}+5-5\)
หากใครคิดได้โดยไม่ใช้ 'เพดาน' และ 'พื้น' หรือหาที่ผิดเจอ ก็โพสต์มาบอกกันได้นะครับ ^^
Next Challenge: มีห้าอยู่ห้าตัว จงสร้างจำนวนจริงบวกที่ i) น้อยที่สุด ii) มากที่สุด
คำตอบควรอยู่ในรูป \(term=A\times10^n, 1<A<10,\ n\ เป็นจำนวนเต็ม\)
Edit1: ดูรายละเอียดได้ที่ด้านล่างและกระทู้ใหม่ครับ