Connections in Galaxy war
Time limit:3 seconds Memory limit:32768 KB
In order to strengthen the defense ability, starting stars in Galaxy allied together and built into bidirectional tunnels to exchange messages. however, when the galaxy war began, some tunnels were destroyed by the monsters from another dimension. then then problems were raised when some of the stars wanted to seek help from the others.
In the galaxy, the stars are numbered from 0N-1 and their power was marked by a non-negative integerPi. When the starAWanted to seek help, it wocould send the message to the star with the largest power which was connected with starADirectly or indirectly. In addition, this star shoshould be more powerful than the starA. If there were more than one star which had the same largest power, then the one with the smallest serial number was chosen. And therefore, sometimes starACouldn't find such star for help.
Given the information of the war and the queries about some special stars, for each query, please find out whether this star cocould seek another star for help and which star shoshould be chosen.
Input
There are no more than 20 cases. process to the end of file.
for each cases, the first line contains an integer n (1 <= n <= 10000 ), which is the number of stars. the second line contains n integers P0 , P1 ,..., pn-1 (0 <= pI <= 1000000000 ), representing the power of the I -th star. then the third line is a single integer m (0 <= m <= 20000), that is the number of Tu Nnels built before the war. then m lines follows. each line has two integers A , B (0 <= A , B <= n -1, A ! = B ), which means Star A and Star B has a connection tunnel. it's guaranteed that each connection will only be described once.
In (M+ 2)-th line is an integerQ(0 <=Q<= 50000) which is the number of the information and queries. In the followingQLines, each line will be written in one of next two formats.
"Destroy a B"-The connection between starAAnd StarBWas destroyed by the monsters. It's guaranteed that the connection between starAAnd StarBWas available before the monsters 'attack.
"Query"-StarAWanted to know which star it shoshould turn to for help
There is a blank line between consecutive cases.
Output
For each query in the input, if there is no star that star A can turn to for help, then output"-1"; Otherwise, output the serial number of the chosen star.
Print a blank line between consecutive cases.
Sample Input
210 2010 15 query 0 query 1 destroy 0 1 query 0 query 1
Sample output
1-1-1-1
Author:Mo, luyi
Source:Zoj monthly, November 2009
Question link: http://acm.zju.edu.cn/onlinejudge/showProblem.do? Problemid = 3563
Offline processing.
Add the edge. This is a simple query.
# Include <stdio. h># Include < String . H> # Include <Algorithm> # Include <Iostream> # Include <Map> Using Namespace STD; Const Int Maxn = 10010 ; Int F [maxn]; Int P [maxn]; Int Val [maxn]; // Subscript of the maximum value Int Num [maxn]; // Maximum Value Int Find ( Int X ){ If (F [x] =- 1 ) Return X; Return F [x] = Find (F [x]);} Void Bing ( Int U, Int V ){ Int T1 = find (u), T2 = Find (v ); If (T1! = T2) {f [T1] = T2; If (Num [T1]> Num [T2]) {num [T2] = Num [T1]; Val [T2] =Val [T1];} Else If (Num [T1] = num [T2] & Val [T2]> Val [T1]) Val [T2] = Val [T1] ;}} Map < Int , Int > MP [maxn]; Struct Edge { Int U, V;} edge [ 20010 ]; Bool Used [ 20010 ]; Struct Node { Int OP; Int U, V;} node [ 50010 ]; Int Ans [ 50010 ]; Char STR [ 20 ]; Int Main (){ Int N; Int Q; Int M; Int U, V; Bool First = True ; While (Scanf ( " % D " , & N) = 1 ){ If (First) First = False ; Else Printf ( " \ N " ); Memset (F, - 1 , Sizeof (F )); For (Int I = 0 ; I <n; I ++ ) {Scanf ( " % D " ,& P [I]); Val [I] = I; num [I] = P [I]; MP [I]. Clear ();} scanf ( " % D " ,& M ); For (Int I = 0 ; I <m; I ++ ) {Scanf ( " % D " , & U ,& V ); If (U> V) Swap (u, v); MP [u] [v] = I; edge [I]. u = U; edge [I]. v = V; used [I] = False ;} Scanf ( " % D " ,& Q ); For ( Int I = 0 ; I <q; I ++ ) {Scanf ( " % S " ,& Str ); If (STR [ 0 ] = ' Q ' ) {Node [I]. OP = 0 ; Scanf ( " % D " ,& Node [I]. U );} Else {Node [I]. OP = 1 ; Scanf ( " % D " , & U ,& V ); If (U> V) Swap (u, v); node [I]. u = U; node [I]. v = V; Int TMP = MP [u] [v]; used [TMP] = True ;}} For (Int I = 0 ; I <m; I ++ ) If (! Used [I]) {Bing (edge [I]. U, edge [I]. V );} Int CNT = 0 ; For ( Int I = Q- 1 ; I> = 0 ; I -- ){ If (Node [I]. Op = 0 ) {U = Node [I]. U; Int T1 = Find (U ); If (Num [T1]> P [u]) ans [CNT ++] = Val [T1]; Else Ans [CNT ++] =- 1 ;} Else {Bing (node [I]. U, node [I]. v );}} For ( Int I = CNT- 1 ; I> = 0 ; I --) printf ( " % D \ n " , ANS [I]);} Return 0 ;}