bzoj4592[SHOI2015]脑洞治疗仪

题目链接

BZOJ

洛谷

解析

3.20 正解是线段树,但是今天没时间写了,先挖个坑qwq,暂时就写个(ODT)

upd 3.21 (没有咕的)线段树解法

操作0:区间赋值

操作1:查询区间和,区间赋值

先查询区间([l0, r0])的和(sum),得到可用的脑组织数并将([l0, r0])(0),然后在([l1, r1])上二分找到位置(p),满足([l1, p])的中(0)的个数等于(sum)(如果没有,说明可用脑组织多了,直接把(p)设为(r1)就行)然后把([l1, p])(1)

操作2:查询最长连续子段

复杂度(O(n log^2 n))

ODT解法

这个题珂朵莉树能过……BZOJ上还跑得飞快……

上面是线段树,下面是珂朵莉树……

操作0:直接(assign)

操作1:查出([l0, r0])(1)的个数,然后(assign),对([l1, r1])暴力跑,找够了就(assign)但是注意不要经常(split),这里的(assign)能用之前的迭代器就不要再(split)去找了,不然珂朵莉也救不了你qwq($TLE$10发的教训qwq)

操作2:暴力跑一遍区间内节点就好了,要有信仰

另外通过此题发现的(ODT)注意事项:每次重新(split)了右端点之后一定要再(split)左端点一次,不然左边的迭代器可能被删除(下面的82行,也就是倒数第6行,好像markdown不显示行号……),这就是luogu上有篇题解会(RE)的原因

代码

线段树

#include <iostream>
#include <cstdio>
#include <cstring>
#define MAXN 200005

typedef long long LL;
struct SegmentTree {
	struct Node {
		int maxlen, llen, rlen, cov, sum;
	} node[MAXN << 2];
	void build(int, int, int);
	void push_up(int, int, int);
	void push_down(int, int, int);
	void cover(int, int, int, int, int, int);
	int query1(int, int, int, int, int);
	int query(int, int, int, int, int);
	void fix(int, int, int, int);
	Node & operator [](int x) { return node[x]; }
};

int N, M;
SegmentTree tr;

int main() {
	scanf("%d%d", &N, &M);
	tr.build(1, 1, N);
	while (M--) {
		int tp, l0, r0;
		scanf("%d%d%d", &tp, &l0, &r0);
		if (tp == 0) tr.cover(1, 1, N, l0, r0, 0);
		else if (tp == 1) {
			int l1, r1; scanf("%d%d", &l1, &r1);
			tr.fix(l0, r0, l1, r1);
		} else printf("%d
", tr.query(1, 1, N, l0, r0));
	}

	return 0;
}
void SegmentTree::push_up(int id, int L, int R) {
	int ls = id << 1, rs = id << 1 | 1, mid = (L + R) >> 1;
	if (node[ls].maxlen == mid + 1 - L) node[id].llen = mid + 1 - L + node[rs].llen;
	else node[id].llen = node[ls].llen;
	if (node[rs].maxlen == R - mid) node[id].rlen = R - mid + node[ls].rlen;
	else node[id].rlen = node[rs].rlen;
	node[id].maxlen = std::max(std::max(node[ls].maxlen, node[rs].maxlen), node[ls].rlen + node[rs].llen);
	node[id].sum = node[ls].sum + node[rs].sum;
}
void SegmentTree::push_down(int id, int L, int R) {
	int ls = id << 1, rs = id << 1 | 1, mid = (L + R) >> 1;
	if (~node[id].cov) {
		node[ls].cov = node[rs].cov = node[id].cov;
		node[ls].sum = node[id].cov * (mid + 1 - L);
		node[ls].llen = node[ls].rlen = node[ls].maxlen = mid + 1 - L - node[ls].sum;
		node[rs].sum = node[id].cov * (R - mid);
		node[rs].llen = node[rs].rlen = node[rs].maxlen = R - mid - node[rs].sum;
		node[id].cov = -1;
	}
}
void SegmentTree::build(int id, int L, int R) {
	node[id].cov = -1;
	node[id].llen = node[id].rlen = node[id].maxlen = 0;
	node[id].sum = R - L + 1;
	if (L == R) return;
	int mid = (L + R) >> 1;
	build(id << 1, L, mid);
	build(id << 1 | 1, mid + 1, R);
}
void SegmentTree::cover(int id, int L, int R, int l, int r, int v) {
	if (L >= l && R <= r) {
		node[id].cov = v;
		node[id].sum = v * (R - L + 1);
		node[id].maxlen = node[id].llen = node[id].rlen = R - L + 1 - node[id].sum;
	} else {
		push_down(id, L, R);
		int mid = (L + R) >> 1;
		if (l <= mid) cover(id << 1, L, mid, l, r, v);
		if (r > mid) cover(id << 1 | 1, mid + 1, R, l, r, v);
		push_up(id, L, R);
	}
}
int SegmentTree::query1(int id, int L, int R, int l, int r) {
	if (L >= l && R <= r) return node[id].sum;
	push_down(id, L, R);
	int mid = (L + R) >> 1, res = 0;
	if (l <= mid) res += query1(id << 1, L, mid, l, r);
	if (r > mid) res += query1(id << 1 | 1, mid + 1, R, l, r);
	return res;
}
int SegmentTree::query(int id, int L, int R, int l, int r) {
	if (L >= l && R <= r) return node[id].maxlen;
	push_down(id, L, R);
	int mid = (L + R) >> 1;
	if (r <= mid) return query(id << 1, L, mid, l, r);
	else if (l > mid) return query(id << 1 | 1, mid + 1, R, l, r);
	else {
		int res = std::max(query(id << 1, L, mid, l, mid), query(id << 1 | 1, mid + 1, R, mid + 1, r));
		res = std::max(res, std::min(node[id << 1].rlen, mid - l + 1) + std::min(node[id << 1 | 1].llen, r - mid));
		return res;
	}
}
void SegmentTree::fix(int l0, int r0, int l1, int r1) {
	int tot = query1(1, 1, N, l0, r0);
	if (!tot) return;
	cover(1, 1, N, l0, r0, 0);
	int l = l1, r = r1;
	while (l < r) {
		int mid = (l + r) >> 1;
		if (mid - l1 + 1 - query1(1, 1, N, l1, mid) < tot) l = mid + 1;
		else r = mid;
	}
	cover(1, 1, N, l1, l, 1);
}
//Rhein_E

ODT

#include <cstdio>
#include <iostream>
#include <cstdio>
#include <set>
#include <algorithm>

typedef long long LL;
struct ODT_Node {
	int l, r; char val;
	ODT_Node (int _l, int _r, char _v):l(_l), r(_r), val(_v) {}
	ODT_Node (int p = 0):l(p), r(p), val(0) {}
	bool operator <(const ODT_Node &n) const { return l < n.l; }
};
typedef std::set<ODT_Node>::iterator iter;
struct ODT {
	std::set<ODT_Node> data;
	void init(int n = 0) { data.clear(); data.insert(ODT_Node(1, n, 1)); }
	iter split(int);
	void assign(int, int, char);
	int query(int, int);
};
void fix(int, int, int, int);

ODT odt;
int N, M;
	
int main() {
	scanf("%d%d", &N, &M);
	odt.init(N);
	while (M--) {
		int tp, l0, r0;
		scanf("%d%d%d", &tp, &l0, &r0);
		if (tp == 0) odt.assign(l0, r0, 0);
		else if (tp == 1) {
			int l1, r1;
			scanf("%d%d", &l1, &r1);
			fix(l0, r0, l1, r1);
		} else printf("%d
", odt.query(l0, r0));
	}

	return 0;
}

inline iter ODT::split(int pos) {
	iter it = data.lower_bound(ODT_Node(pos));
	if (it->l == pos) return it;
	--it;
	int l = it->l, r = it->r; char v = it->val;
	data.erase(it);
	data.insert(ODT_Node(l, pos - 1, v));
	return data.insert(ODT_Node(pos, r, v)).first;
}
inline void ODT::assign(int l, int r, char v) {
	iter right = split(r + 1), left = split(l);
	data.erase(left, right);
	data.insert(ODT_Node(l, r, v));
}
inline int ODT::query(int l, int r) {
	int res = 0, tmp = 0;
	iter right = split(r + 1), left = split(l);
	for (iter i = left; i != right; ++i)
		if (i->val) res = std::max(res, tmp), tmp = 0;
		else tmp += i->r - i->l + 1;
	return std::max(res, tmp);
}
void fix(int l0, int r0, int l1, int r1) {
	int tot = 0, blank = 0;
	iter right = odt.split(r0 + 1), left = odt.split(l0), it;
	for (it = left; it != right; ++it)
		if (it->val) tot += it->r - it->l + 1;
	odt.data.erase(left, right);
	odt.data.insert(ODT_Node(l0, r0, 0));
	if (!tot) return;
	right = odt.split(r1 + 1), left = odt.split(l1);
	for (it = left; it != right && blank < tot; ++it)
		if (!it->val) blank += it->r - it->l + 1;
	if (blank < tot) {
		odt.data.erase(left, right);
		odt.data.insert(ODT_Node(l1, r1, 1));
	} else {
		int rr = (--it)->r - blank + tot;
		right = odt.split(rr + 1), left = odt.split(l1);
		odt.data.erase(left, right);
		odt.data.insert(ODT_Node(l1, rr, 1));
	}
}
//Rhein_E
原文地址:https://www.cnblogs.com/Rhein-E/p/10568079.html