POJ 2777 Count Color

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

Source

POJ Monthly--2006.03.26,dodo

线段树区间更新，位运算计算颜色种类的方法很吊，其他倒没什么

#include<stdio.h>
#include<string.h>
#define maxn 100000

struct node
{
 int l,r;
 int color;
 int add;
}tree[3*maxn];


void pushdown(int p)
{
 if(tree[p].add)
 {
 tree[p<<1].add=tree[p].add;
 tree[p<<1|1].add=tree[p].add;
 tree[p<<1].color=tree[p].color;
 tree[p<<1|1].color=tree[p].color;
 tree[p].add=0;
 }
}

void build(int p,int l,int r)
{
 tree[p].l=l;
 tree[p].r=r;
 tree[p].color=1;
 tree[p].add=1;
 if(l==r)
 return ;
 int mid=(l+r)>>1;
 build(p<<1,l,mid);
 build(p<<1|1,mid+1,r);
}

void update(int p,int l,int r,int val)
{
 if(l<=tree[p].l && tree[p].r<=r)
 {
 tree[p].color=val;
 tree[p].add=1;
 return ; 
 }
 pushdown(p);
 int mid=(tree[p].l+tree[p].r)>>1;
 if(r<=mid)
 update(p<<1,l,r,val);
 else if(l>mid)
 update(p<<1|1,l,r,val);
 else
 {
 update(p<<1,l,mid,val);
 update(p<<1|1,mid+1,r,val);
 }
 tree[p].color=tree[p<<1].color|tree[p<<1|1].color;
}

int sum=0;
void query(int p,int l,int r)
{
 
 if(l<=tree[p].l && r>=tree[p].r)
 {
 sum|=tree[p].color;
 return ;
 }
 pushdown(p);
 int mid=(tree[p].l + tree[p].r)>>1;
 if(r<=mid)
 query(p<<1,l,r);
 else if(l>mid)
 query(p<<1|1,l,r);
 else
 {
 query(p<<1,l,mid);
 query(p<<1|1,mid+1,r);
 }
}
int answer()
{
 int ans=0;
 while(sum)
 {
 if(sum&1)
 ans++;
 sum>>=1;
 }
 return ans;
}
int main()
{
 int l,t,o;
 while(~scanf("%d%d%d",&l,&t,&o))
 {
 char op;
 build(1,1,l);
 getchar();
 int x,y,z;
 for(int i=0;i<o;i++)
 {
 scanf("%c",&op);
 if(op=='C')
 {
 scanf("%d%d%d",&x,&y,&z);
 if(x>y)
 {
 x=x^y;
 y=x^y;
 x=x^y;
 }
 update(1,x,y,1<<(z-1));
 }
 else
 {
 scanf("%d%d",&x,&y);
 if(x>y)
 {
 x=x^y;
 y=x^y;
 x=x^y;
 }
 sum=0;
 query(1,x,y);
 printf("%d\n",answer()); 
 }
 getchar();
 }
 }
 return 0;
}