Tunnel Warfare
Time limit:1000ms Memory limit:131072k
Total submissions:7576 accepted:3127
Description
During the War of Resistance against Japan, tunnel warfare was carried off extensively in the vast areas of the North China Pl Ain. Generally speaking, villages connected by tunnels lay in a line. Except the ends, every village was directly connected with the neighboring ones.
Frequently the invaders launched attack on some of the villages and destroyed the parts of tunnels in them. The eighth Route Army commanders requested the latest connection state of the tunnels and villages. If Some villages is severely isolated, restoration of connection must is done immediately!
Input
The first line of the input contains the positive integers n and m (n, m≤50,000) indicating the number of villages and E Vents. Each of the next m lines describes an event.
There is three different events described in different format shown below:
D x: The x-th village was destroyed.Q x: The Army commands requested the number of villages that x-th village was directly or indirectly connected with including itself.R: The village destroyed last was rebuilt.
Output
Output the answer to each of the Army commanders ' request in order on a separate line.
Sample Input
7 9
D 3
D 6
D 5
Q 4
Q 5
R
Q 4
R
Q 4
Sample Output
1
0
2
4
Hint
An illustration of the sample input:
OOOOOOO
D 3 ooxoooo
D 6 Ooxooxo
D 5 Ooxoxxo
R Ooxooxo
R ooxoooo
Source
POJ monthly–2006.07.30, Updog
title link : http://poj.org/problem?id=2892
Test Instructions : There are n villages for m operations, there are three kinds of operations
D x: Means to destroy a village
Q x: Indicates the number of villages that query the contiguous existence of a village, if the village does not exist for 0
R: means to repair the last destroyed village
Ideas :
A tree array maintains something like a prefix, and the dichotomy determines whether there are villages in succession
O (mlogn^2)
To find the left as an example
Created with Rapha?l 2.1.0 start rx=x; lx=1; if (_get (RX)-_get (mid-1) ==rx-mid+1) confirmation? Ans=mid; rx=mid-1; RX>=LX? again end; lx=mid+1; Yes No Yes No
Decision Condition: if (_get (RX)-_get (mid-1) ==rx-mid+1) right is legal!
Or if (_get (x)-_get (mid-1) ==x-mid+1)
while(rx>=lx) { mid=(rx+lx)>>1; if(_get(rx)-_get(mid-1)==rx-mid+1) { ans=mid; rx=mid-1; } else lx=mid+1; } int t1=ans;
* Two-point posture: while (RX>=LX) if (C (mid)) Ans=mid;
Code :
#include <iostream>#include <stdio.h>#include <string.h>#include <stack>using namespace STD;intN,m;intc[50005];Chars[3];intAa Stack<int>PrevoidAddintXintY) { while(x<=n) {c[x]+=y; x+=x& (-X); }}int_get (intx) {intret=0; while(x>0) {ret+=c[x]; x-=x& (-X); }returnRET;}intSolveintx) {if(_get (x)-_get-X1)==0)return 0;intRx=x;intlx=1;intMidintAns while(RX>=LX) {mid= (RX+LX) >>1;if(_get (Rx)-_get (mid-1) ==rx-mid+1) {Ans=mid; rx=mid-1; }ElseLx=mid+1; }intT1=ans; Rx=n; Lx=x;//int cnt=0; while(RX>=LX) {mid= (RX+LX) >>1;if(_get (mid)-_get (lx-1) ==mid-lx+1) {lx=mid+1; Ans=mid; }Elserx=mid-1; }returnans-t1+1;}intMain () {scanf("%d%d", &n,&m); for(intI=1; i<=n;i++) Add (i,1); for(intI=1; i<=m;i++) {scanf('%s ', s);if(s[0]!=' R ')scanf("%d", &AA);if(s[0]==' D ') {Add (aa,-1); Pre.push (AA); }Else if(s[0]==' Q ') {printf("%d\n", Solve (AA)); }Else if(s[0]==' R ') {intTmp=pre.top (); Pre.pop (); Add (TMP,1); } } }
"Poj 2892" tunnel Warfare binary + Tree array