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  • HDU 3397 Sequence operation(线段树)

    HDU 3397 Sequence operation

    题目链接

    题意:给定一个01序列,有5种操作
    0 a b [a.b]区间置为0
    1 a b [a,b]区间置为1
    2 a b [a,b]区间0变成1,1变成0
    3 a b 查询[a,b]区间1的个数
    4 a b 查询[a,b]区间连续1最长的长度

    思路:线段树线段合并。须要两个延迟标记一个置为01,一个翻转,然后因为4操作,须要记录左边最长0、1。右边最长0、1,区间最长0、1,然后区间合并去搞就可以

    代码:

    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    using namespace std;
    
    #define lson(x) ((x<<1)+1)
    #define rson(x) ((x<<1)+2)
    const int N = 100005;
    
    int t, n, m;
    
    struct Node {
    	int l, r, sum[3][2], num;
    	int setv, flip;
    	Node() {
    		setv = -1;
    		flip = 0;
    	}
    	int size() {return r - l + 1;}
    	void gao1(int v) {
    		setv = v;
    		num = v * (r - l + 1);
    		for (int i = 0; i < 3; i++) {
    			sum[i][v] = r - l + 1;
    			sum[i][!v] = 0;
    		}
    		flip = 0;
    	}
    	void gao2() {
    		flip ^= 1;
    		for (int i = 0; i < 3; i++)
    			swap(sum[i][0], sum[i][1]);
    		num = r - l + 1 - num;
    	}
    } node[N * 4];
    
    Node merge(Node lson, Node rson) {
    	Node x;
    	x.l = lson.l; x.r = rson.r;
    	for (int i = 0; i < 2; i++) {
    		x.sum[0][i] = lson.sum[0][i];
    		x.sum[1][i] = rson.sum[1][i];
    		x.sum[2][i] = max(lson.sum[2][i], rson.sum[2][i]);
    		if (lson.sum[0][i] == lson.size())
    			x.sum[0][i] += rson.sum[0][i];
    		if (rson.sum[1][i] == rson.size())
    			x.sum[1][i] += lson.sum[1][i];
    		x.sum[2][i] = max(x.sum[2][i], lson.sum[1][i] + rson.sum[0][i]);
    	}
    	x.num = lson.num + rson.num;
    	return x;
    }
    
    void pushup(int x) {
    	node[x] = merge(node[lson(x)], node[rson(x)]);
    }
    
    void pushdown(int x) {
    	if (node[x].setv != -1) {
    		node[lson(x)].gao1(node[x].setv);
    		node[rson(x)].gao1(node[x].setv);
    		node[x].setv = -1;
    	}
    	if (node[x].flip) {
    		node[lson(x)].gao2();
    		node[rson(x)].gao2();
    		node[x].flip = 0;
    	}
    }
    
    void build(int l, int r, int x = 0) {
    	node[x].l = l; node[x].r = r;
    	node[x].setv = -1; node[x].flip = 0;
    	if (l == r) {
    		int tmp;
    		scanf("%d", &tmp);
    		for (int i = 0; i < 3; i++) {
    			node[x].sum[i][tmp] = 1;
    			node[x].sum[i][!tmp] = 0;
    		}
    		node[x].num = tmp;
    		return;
    	}
    	int mid = (l + r) / 2;
    	build(l, mid, lson(x));
    	build(mid + 1, r, rson(x));
    	pushup(x);
    }
    
    void add(int l, int r, int v, int x = 0) {
    	if (node[x].l >= l && node[x].r <= r) {
    		if (v == 2) node[x].gao2();
    		else node[x].gao1(v);
    		return;
    	}
    	int mid = (node[x].l + node[x].r) / 2;
    	pushdown(x);
    	if (l <= mid) add(l, r, v, lson(x));
    	if (r > mid) add(l, r, v, rson(x));
    	pushup(x);
    }
    
    Node query(int l, int r, int x = 0) {
    	if (node[x].l >= l && node[x].r <= r)
    		return node[x];
    	int mid = (node[x].l + node[x].r) / 2;
    	pushdown(x);
    	Node ans;
    	if (l <= mid && r > mid) ans = merge(query(l, r, lson(x)), query(l, r, rson(x)));
    	else if (l <= mid) ans = query(l, r, lson(x));
    	else if (r > mid) ans = query(l, r, rson(x));
    	pushup(x);
    	return ans;
    }
    
    int main() {
    	scanf("%d", &t);
    	while (t--) {
    		scanf("%d%d", &n, &m);
    		build(0, n - 1);
    		int op, a, b;
    		while (m--) {
    			scanf("%d%d%d", &op, &a, &b);
    			if (op <= 2) add(a, b, op);
    			else if (op == 3) printf("%d
    ", query(a, b).num);
    			else if (op == 4) printf("%d
    ", query(a, b).sum[2][1]);
    		}
    	}
    	return 0;
    }


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  • 原文地址:https://www.cnblogs.com/mengfanrong/p/5185207.html
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