杭电 5748 Bellovin
Description
Peter has a sequence ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
and he define a function on the sequence -- ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0029.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003D.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
, where ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
is the length of the longest increasing subsequence ending with ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
.
Peter would like to find another sequence![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
in such a manner that ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
equals to ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
. Among all the possible sequences consisting of only positive integers, Peter wants the lexicographically smallest one.
The sequence![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
is lexicographically smaller than sequence ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
, if there is such number
from
to
, that ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006B.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003D.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
for ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006B.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003C.png?rev=2.4-beta-2)
and ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
.
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0029.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003D.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0029.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0066.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
Peter would like to find another sequence
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0029.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0046.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0029.png?rev=2.4-beta-2)
The sequence
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
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![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
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![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006B.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003D.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
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![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006B.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/003C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
Input
There are multiple test cases. The first line of input contains an integer
, indicating the number of test cases. For each test case:
The first contains an integer
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
-- the length of the sequence. The second line contains
integers ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
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![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0039.png?rev=2.4-beta-2)
.
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0054.png?rev=2.4-beta-2)
The first contains an integer
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
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![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
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![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0061.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
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![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0039.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0029.png?rev=2.4-beta-2)
Output
For each test case, output
integers ![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0039.png?rev=2.4-beta-2)
denoting the lexicographically smallest sequence.
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0032.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/002C.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/006E.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0028.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/400/0062.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Math/Italic/283/0069.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/2264.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0031.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0030.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/283/0039.png?rev=2.4-beta-2)
![](http://acm.hdu.edu.cn/js/MathJax/fonts/HTML-CSS/TeX/png/Main/Regular/400/0029.png?rev=2.4-beta-2)
Sample Input
3 1 10 5 5 4 3 2 1 3 1 3 5
Sample Output
1 1 1 1 1 1 1 2 3
英语题目很难度,但是题意很简单,给你一个整数序列,输出以每个数结尾的最长上升子序列的长度。
1 #include<cstdio> 2 #include<algorithm> 3 #define INF 0x3f3f3f3f 4 using namespace std; 5 int dp[100005]; 6 int a[100005]; 7 int b[100005]; 8 int main() 9 { 10 int t; 11 scanf("%d",&t); 12 while(t--) 13 { 14 int n,i,j; 15 scanf("%d",&n); 16 for(i = 1 ; i <= n ; i++) 17 { 18 scanf("%d",&a[i]); 19 dp[i]=0; 20 b[i]=INF; 21 } 22 for(i = 1 ; i <= n ; i++) 23 { 24 int k=lower_bound(b+1,b+n+1,a[i])-b; //函数返回值为大于a[i]的第一个值的位置,比如序列1 1 4 5,a[i]为2,返回值为3 25 dp[i]=k; //与二分法类似,将数放入新数组 26 b[k]=a[i]; 27 } 28 for(i = 1 ; i < n ; i++) 29 printf("%d ",dp[i]); 30 printf("%d\n",dp[n]); 31 } 32 }
——将来的你会感谢现在努力的自己。