poj 2777 , 线段树

Count Color

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 32113		Accepted: 9642

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

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<vector>
#include<set>
#include<queue>
#include<string>
#include<cmath>
#include<fstream>
#include<iomanip>

using namespace std;

#define lson tn<<1, l, m
#define rson tn<<1|1, m, r

#define LL long long
#define MAXN 111111
int col[MAXN<<2], n, m, t;
int todo[MAXN<<2];

void push_up(int tn){ col[tn] = col[tn<<1] | col[tn<<1|1]; }

void push_down(int tn){
    if(!todo[tn]) return;
    todo[tn<<1] = todo[tn<<1|1] = todo[tn];
    col[tn<<1] = col[tn<<1|1] = 1<<todo[tn];
    todo[tn] = 0;
}

void build(int tn, int l, int r){
    todo[tn] = 0;
    if(l+1 == r){
        col[tn] = 1 << 1;   return;
    }
    int m = l + r >> 1;
    build(lson);
    build(rson);
    push_up(tn);
}

void update(int tn, int l, int r, int cl, int cr, int tc){
    if(cl<=l && cr>=r){
        todo[tn] = tc;      col[tn] = 1<<tc;
        return;
    }
    int m = l + r >> 1;
    push_down(tn);
    if(cl < m) update(lson, cl, cr, tc);
    if(cr > m) update(rson, cl, cr, tc);
    push_up(tn);
}

int query(int tn, int l, int r, int cl, int cr){
    if(cl<=l && cr>=r) return col[tn];
    int m = l + r >> 1;
    int ret = 0;
    push_down(tn);
    if(cl < m) ret |= query(lson, cl, cr);
    if(m < cr) ret |= query(rson, cl, cr);
    return ret;
}

int main(){
    freopen("C:\Users\Administrator\Desktop\in.txt","r",stdin);
    while(scanf(" %d %d %d", &n, &t, &m)==3){
        build(1, 1, n+1);
        while(m--){
            int a, b, c;    char ch;
            scanf(" %c %d %d", &ch, &a, &b); if(a > b) swap(a, b);
            if(ch == 'C'){
                scanf(" %d", &c);
                update(1, 1, 1+n, a, b+1, c);
            }
            else{
                int ans = 0, x = query(1, 1, 1+n, a, b+1);
                for(int i=t; i>0; i--) if((1<<i) & x)
                    ans++;
                printf("%d
", ans);
            }
        }
    }
    return 0;
}