Tunnel Warfare
Time Limit: 4000/2000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 3888 Accepted Submission(s): 1460
two at the ends, every village was directly connected with two 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 are severely isolated, restoration
of connection must be done immediately!
There are 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.
7 9 D 3 D 6 D 5 Q 4 Q 5 R Q 4 R Q 4
1 0 2 4
题目大意:
n个村庄在X轴上排成一列,从左到右依次编号1~n。m次操作。n,m <= 50000。
1.D x 摧毁编号为x的村庄。
2.Q x 查询编号为x的村庄直接或间接相连的村庄共有多少(包括自身)。
3.R 恢复最后摧毁的村庄。
题目分析:
很明显又是一题区间合并问题:每次更新单点,然后合并区间,维护区间最长前缀及后缀。对于操作R直接用栈保存就好了。最后在查询的时候不断合并就行了,蛮简单的就不多说了。
代码如下:
#include <cstdio> #include <cstring> #include <algorithm> using namespace std ; typedef long long Int ; #define rt l , r , o #define ls ( o << 1 ) #define rs ( o << 1 | 1 ) #define lson l , m , ls #define rson m + 1 , r , rs #define mid ( ( l + r ) >> 1 ) #define root 1 , n , 1 #define clear( A , X ) memset ( A , X , sizeof A ) const int maxN = 50005 ; int lmax[maxN << 2] , rmax[maxN << 2] ;//这题不需要mmax[] int stack[maxN] , top ; char ch[5] ; int max ( const int X , const int Y ) { return X > Y ? X : Y ; } int min ( const int X , const int Y ) { return X < Y ? X : Y ; } void PushUp ( int l , int r , int o ) { int m = mid ; lmax[o] = lmax[ls] ; if ( lmax[o] == m - l + 1 ) lmax[o] += lmax[rs] ; rmax[o] = rmax[rs] ; if ( rmax[o] == r - m ) rmax[o] += rmax[ls] ; } void Build ( int l , int r , int o ) { if ( l == r ) { lmax[o] = rmax[o] = 1 ; return ; } int m = mid ; Build ( lson ) ; Build ( rson ) ; PushUp ( rt ) ; } void Update ( int x , int v , int l , int r , int o ) { if ( l == r ) { lmax[o] = rmax[o] = v ; return ; } int m = mid ; if ( x <= m ) Update ( x , v , lson ) ; else Update ( x , v , rson ) ; PushUp ( rt ) ; } int lnum , rnum ; int Query ( int x , int l , int r , int o ) { if ( l == r ) { lnum = rnum = x ; return lmax[o] ; } int m = mid ; if ( x <= m ) { int ans = Query ( x , lson ) ; if ( !ans ) return 0 ; if ( rnum == m && lmax[rs] ) { rnum += lmax[rs] ; ans += lmax[rs] ; } return ans ; } else { int ans = Query ( x , rson ) ; if ( !ans ) return 0 ; if ( lnum == m + 1 && rmax[ls] ) { lnum -= rmax[ls] ; ans += rmax[ls] ; } return ans ; } } void work () { int n , m , x ; while ( ~scanf ( "%d%d" , &n , &m ) ) { Build ( root ) ; while ( m -- ) { scanf ( "%s" , ch ) ; if ( ch[0] == 'D' ) { scanf ( "%d" , &x ) ; Update ( x , 0 , root ) ; stack[top ++] = x ; } if ( ch[0] == 'R' ) { if ( 0 == top ) continue ; Update ( stack[-- top] , 1 , root ) ; } if ( ch[0] == 'Q' ) { scanf ( "%d" , &x ) ; printf ( "%d\n" , Query ( x , root ) ) ; } } } } int main () { work () ; return 0 ; }