HDU 5023 - A Corrupt Mayor's Performance Art(线段树区间更新+状态压缩)

A Corrupt Mayor’s Performance Art

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 100000/100000 K (Java/Others)
Total Submission(s): 2239 Accepted Submission(s): 787

Problem Description
Corrupt governors always find ways to get dirty money. Paint something, then sell the worthless painting at a high price to someone who wants to bribe him/her on an auction, this seemed a safe way for mayor X to make money.

Because a lot of people praised mayor X’s painting(of course, X was a mayor), mayor X believed more and more that he was a very talented painter. Soon mayor X was not satisfied with only making money. He wanted to be a famous painter. So he joined the local painting associates. Other painters had to elect him as the chairman of the associates. Then his painting sold at better price.

The local middle school from which mayor X graduated, wanted to beat mayor X’s horse fart(In Chinese English, beating one’s horse fart means flattering one hard). They built a wall, and invited mayor X to paint on it. Mayor X was very happy. But he really had no idea about what to paint because he could only paint very abstract paintings which nobody really understand. Mayor X’s secretary suggested that he could make this thing not only a painting, but also a performance art work.

This was the secretary’s idea:

The wall was divided into N segments and the width of each segment was one cun(cun is a Chinese length unit). All segments were numbered from 1 to N, from left to right. There were 30 kinds of colors mayor X could use to paint the wall. They named those colors as color 1, color 2 …. color 30. The wall’s original color was color 2. Every time mayor X would paint some consecutive segments with a certain kind of color, and he did this for many times. Trying to make his performance art fancy, mayor X declared that at any moment, if someone asked how many kind of colors were there on any consecutive segments, he could give the number immediately without counting.

But mayor X didn’t know how to give the right answer. Your friend, Mr. W was an secret officer of anti-corruption bureau, he helped mayor X on this problem and gained his trust. Do you know how Mr. Q did this?

Input
There are several test cases.

For each test case:

The first line contains two integers, N and M ,meaning that the wall is divided into N segments and there are M operations(0 < N <= 1,000,000; 0 < M<=100,000)

Then M lines follow, each representing an operation. There are two kinds of operations, as described below:

1) P a b c
a, b and c are integers. This operation means that mayor X painted all segments from segment a to segment b with color c ( 0 < a<=b <= N, 0 < c <= 30).

2) Q a b
a and b are integers. This is a query operation. It means that someone asked that how many kinds of colors were there from segment a to segment b ( 0 < a<=b <= N).

Please note that the operations are given in time sequence.

The input ends with M = 0 and N = 0.

Output
For each query operation, print all kinds of color on the queried segments. For color 1, print 1, for color 2, print 2 … etc. And this color sequence must be in ascending order.

Sample Input
5 10
P 1 2 3
P 2 3 4
Q 2 3
Q 1 3
P 3 5 4
P 1 2 7
Q 1 3
Q 3 4
P 5 5 8
Q 1 5
0 0

Sample Output
4
3 4
4 7
4
4 7 8

题意:
给出好多墙,然后有Q次操作,给一定区域的墙染色,然后要多次询问区间内墙的颜色种类.

解题思路:
要用到线段树的区间更新.

因为颜色只有30种,所以用一个int存.假如出现的是第n中颜色,那么就让第n位变成1.

在PushUp的时候,SegTree[rt] = SegTree[rt<<1] | SegTree[rt<<1|1];

AC代码:

#include<stdio.h>#include<algorithm>using namespace std;#define lson l,mid,rt<<1#define rson mid+1,r,rt<<1|1const int maxn = 1000005;int qdu[maxn<<2];int add[maxn<<2];void PushUp(int rt){    qdu[rt] = qdu[rt<<1]|qdu[rt<<1|1];}void PushDown(int rt){    if(add[rt])    {        add[rt<<1] = add[rt];        add[rt<<1|1] = add[rt];        qdu[rt<<1] = add[rt];        qdu[rt<<1|1] = add[rt];        add[rt] = 0;    }}void build(int l,int r,int rt){    add[rt] = 0;    if(l == r)    {        qdu[rt] = 2;        return ;    }    int mid = (l+r)>>1;    build(lson);    build(rson);    PushUp(rt);}void update(int L,int R,int c,int l,int r,int rt){    if(L <= l && R >= r)    {        add[rt] = 1<<(c-1);        qdu[rt] = 1<<(c-1);        return ;    }    PushDown(rt);    int mid = (l+r)>>1;    if(L <= mid)    update(L,R,c,lson);    if(R > mid)     update(L,R,c,rson);    PushUp(rt);}int query(int L,int R,int l,int r,int rt){    if(L <= l && R >= r)    return qdu[rt];    PushDown(rt);    int res = 0;    int mid = (l+r)>>1;    if(L <= mid)    res |= query(L,R,lson);    if(R > mid)     res |= query(L,R,rson);    return res;}int main(){    int n;    int loop;    while(~scanf("%d%d",&n,&loop))    {        if(n == 0&&loop==0) break;        build(1,n,1);        while(loop--)        {            char op[2];            scanf("%s",op);            if(op[0] == 'Q')            {                int a;                int b;                scanf("%d%d",&a,&b);                int res = query(a,b,1,n,1);                int flag = 0;                for(int i = 1;i <= 30;i++)                {                    if(res>>(i-1)&1)                    {                        if(!flag)                        {                            printf("%d",i);                            flag = 1;                        }                        else                            printf(" %d",i);                    }                }                putchar('\n');            }            else            {                int a;                int b;                int c;                scanf("%d%d%d",&a,&b,&c);                update(a,b,c,1,n,1);            }        }    }    return 0;}