poj 2777 Count Color(线段树)

题目地址：http://poj.org/problem?id=2777

Count Color

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 30995		Accepted: 9285

Description

Chosen Problem Solving and Program design as an optional course, you are required to solve all kinds of problems. Here, we get a new problem. 
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

First line of input contains L (1 <= L <= 100000), T (1 <= T <= 30) and O (1 <= O <= 100000). Here O denotes the number of operations. Following O lines, each contains "C A B C" or "P A B" (here A, B, C are integers, and A may be larger than B) as an operation defined previously.

Output

Ouput results of the output operation in order, each line contains a number.

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<<2];

int mark[50];  //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 = 1;
    node[p].flag = 1;
    if(l==r)    return;
    int mid = (l+r)>>1;
    building(l,mid,lson);
    building(mid+1,r,rson);
}

void update(int l,int r,int p,int c)
{
    if(node[p].l==l&&node[p].r==r)
    {
        node[p].flag  = 1;
        node[p].color = c;
        return;
    }
    if(node[p].color!=c&&node[p].flag)  //向下更新
    {
        node[p].flag = 0;
        node[lson].flag=node[rson].flag = 1;
        node[lson].color=node[rson].color = node[p].color;
    }
    int mid = (node[p].l+node[p].r)>>1;
    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+1,r,rson,c);
    }
    if(node[lson].flag&&node[rson].flag&&node[lson].color==node[rson].color)  //向上更新
    {
        node[p].flag = 1;
        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]=1;  //标记颜色出现过
         return;
     }
     int mid = (node[p].l+node[p].r)>>1;
     if(r<=mid)  query(l,r,lson);
     else if(l>mid)  query(l,r,rson);
     else
     {
         query(l,mid,lson);
         query(mid+1,r,rson);
     }
}

int main()
{
    int L,T,O;
    scanf("%d%d%d",&L,&T,&O);
    building(1,L,1);
    while(O--)
    {
        char op[5];
        int a,b,c;
        scanf("%s",op);
        if(op[0]=='C')
        {
            scanf("%d%d%d",&a,&b,&c);
            update(a,b,1,c);
        }
        else if(op[0]=='P')
        {
            int i;
            scanf("%d%d",&a,&b);
            memset(mark,0,sizeof(mark));  //初始化颜色标记
            query(a,b,1);
            int ans = 0;
            for(i=1;i<=T;i++)  if(mark[i])  ans++;
            printf("%d
",ans);
        }
    }
    return 0;
}