poj 2777 Count Color(线段树)
题目地址:http://poj.org/problem?id=2777
| Time Limit: 1000MS | Memory Limit: 65536K | |
| Total Submissions: 30995 | Accepted: 9285 |
Description
There is a very long board with length L centimeter, L is a positive integer, so we can evenly divide the board into L segments, and they are labeled by 1, 2, ... L from left to right, each is 1 centimeter long. Now we have to color the board - one segment with only one color. We can do following two operations on the board:
1. "C A B C" Color the board from segment A to segment B with color C. 2. "P A B" Output the number of different colors painted between segment A and segment B (including).
In our daily life, we have very few words to describe a color (red, green, blue, yellow…), so you may assume that the total number of different colors T is very small. To make it simple, we express the names of colors as color 1, color 2, ... color T. At the beginning, the board was painted in color 1. Now the rest of problem is left to your.
Input
Output
Sample Input
2 2 4
C 1 1 2
P 1 2
C 2 2 2
P 1 2
Sample Output
2
1
【题解】:典型线段树区间更新
【code】:
/**
result:Accepted memory:4264K
time:375MS language:C++
code lenght: 2147B Acmer:cj
*/ #include<iostream>
#include<stdio.h>
#include<string.h>
#include<algorithm> #define N 100010
#define lson p<<1
#define rson p<<1|1
using namespace std; struct Nod
{
int l,r;
int color; //颜色
int flag; //[l,r]区间是否同色
}node[N<<]; int mark[]; //颜色统计标记 void building(int l,int r,int p) //建树
{
node[p].l = l;
node[p].r = r;
node[p].color = ;
node[p].flag = ;
if(l==r) return;
int mid = (l+r)>>;
building(l,mid,lson);
building(mid+,r,rson);
} void update(int l,int r,int p,int c)
{
if(node[p].l==l&&node[p].r==r)
{
node[p].flag = ;
node[p].color = c;
return;
}
if(node[p].color!=c&&node[p].flag) //向下更新
{
node[p].flag = ;
node[lson].flag=node[rson].flag = ;
node[lson].color=node[rson].color = node[p].color;
}
int mid = (node[p].l+node[p].r)>>;
if(r<=mid) update(l,r,lson,c);
else if(l>mid) update(l,r,rson,c);
else
{
update(l,mid,lson,c);
update(mid+,r,rson,c);
}
if(node[lson].flag&&node[rson].flag&&node[lson].color==node[rson].color) //向上更新
{
node[p].flag = ;
node[p].color = node[lson].color;
}
} void query(int l,int r,int p)
{
if(node[p].flag) //区间同色
{
mark[node[p].color]=; //标记颜色出现过
return;
}
int mid = (node[p].l+node[p].r)>>;
if(r<=mid) query(l,r,lson);
else if(l>mid) query(l,r,rson);
else
{
query(l,mid,lson);
query(mid+,r,rson);
}
} int main()
{
int L,T,O;
scanf("%d%d%d",&L,&T,&O);
building(,L,);
while(O--)
{
char op[];
int a,b,c;
scanf("%s",op);
if(op[]=='C')
{
scanf("%d%d%d",&a,&b,&c);
update(a,b,,c);
}
else if(op[]=='P')
{
int i;
scanf("%d%d",&a,&b);
memset(mark,,sizeof(mark)); //初始化颜色标记
query(a,b,);
int ans = ;
for(i=;i<=T;i++) if(mark[i]) ans++;
printf("%d\n",ans);
}
}
return ;
}
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