POJ 2777 Count Color (线段树&位运算)

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#acm #数据结构 #线段树 #C++ #poj

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本文介绍了一种用于解决在给定长度的板上进行颜色涂鸦操作的问题，包括从指定段落开始到指定段落结束的颜色填充以及询问指定区间内不同颜色的数量。通过使用线段树数据结构来高效地执行这些操作。

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Count Color

http://poj.org/problem?id=2777

Time Limit: 1000MS Memory Limit: 65536K

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

Sample Output

2
1

注意A可以大于B。

/*360ms,2800KB*/

#include <cstdio>
#include <algorithm>
using namespace std;
#define lson l , m , rt << 1
#define rson m + 1 , r , rt << 1 | 1
#define root 1, N, 1
const int maxn = 100000;

int sum[maxn << 2], add[maxn << 2];

inline void up(int rt)
{
	sum[rt] = sum[rt << 1] | sum[rt << 1 | 1];
}

inline void down(int rt)
{
	if (add[rt])
	{
		add[rt << 1] = add[rt << 1 | 1] = add[rt];
		sum[rt << 1] = sum[rt << 1 | 1] = add[rt];
		add[rt] = 0;
	}
}

void update(int ql, int qr, int c, int l, int r, int rt)
{
	if (ql <= l && r <= qr)
	{
		add[rt] = c;
		sum[rt] = c;
		return;
	}
	down(rt);
	int m = (l + r) >> 1;
	if (ql <= m) update(ql, qr, c, lson);
	if (qr > m) update(ql, qr, c, rson);
	up(rt);
}

int query(int ql, int qr, int l, int r, int rt)
{
	if (ql <= l && r <= qr)
	{
		return sum[rt];
	}
	down(rt);
	int m = (l + r) >> 1;
	int ret = 0;
	if (ql <= m) ret |= query(ql, qr, lson);
	if (qr > m) ret |= query(ql, qr, rson);
	return ret;
}

inline int cnt(int val)
{
	int n = 0;
	while (val)
	{
		if (val & 1) n++;
		val >>= 1;
	}
	return n;
}

int main()
{
	int N, Q, a, b, c;
	scanf("%d%*d%d", &N, &Q);
	fill(sum + 1, sum + (N << 2), 1);
	while (Q--)
	{
		getchar();
		if (getchar() == 'P')
		{
			scanf("%d%d", &a, &b);
			if (a > b) swap(a, b);
			printf("%d\n", cnt(query(a, b, root)));
		}
		else
		{
			scanf("%d%d%d", &a, &b, &c);
			if (a > b) swap(a, b);
			update(a, b, 1 << (c - 1), root);
		}
	}
	return 0;
}