线段树

封装模板

$jls$的基础LSGT模板,区间为$[l,r)$,之后可能会更改。

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <queue>
#include <deque>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include <numeric>
#include <iomanip>
#include <functional>
#define _fio \
ios_base::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0);
#define pb(e) push_back(e)
#define all(x) (x).begin(), (x).end()
#define allr(x) (x).rbegin(), (x).rend()
#define endl '\n'

using namespace std;
using i64 = long long;
using PII = pair<int, int>;
const int INF = 0x3f3f3f3f;
template <class Info, class Tag>
struct LazySegmentTree
{
const int n;
std::vector<Info> info;
std::vector<Tag> tag;
LazySegmentTree(int n) : n(n), info(4 << std::__lg(n)), tag(4 << std::__lg(n)) {}
LazySegmentTree(std::vector<Info> init) : LazySegmentTree(init.size())
{
std::function<void(int, int, int)> build = [&](int p, int l, int r)
{
if (r - l == 1)
{
info[p] = init[l];
return;
}
int m = (l + r) / 2;
build(2 * p, l, m);
build(2 * p + 1, m, r);
pull(p);
};
build(1, 0, n);
}
void pull(int p)
{
info[p] = info[2 * p] + info[2 * p + 1];
}
void apply(int p, const Tag &v)
{
info[p].apply(v);
tag[p].apply(v);
}
void push(int p)
{
apply(2 * p, tag[p]);
apply(2 * p + 1, tag[p]);
tag[p] = Tag();
}
void modify(int p, int l, int r, int x, const Info &v)
{
if (r - l == 1)
{
info[p] = v;
return;
}
int m = (l + r) / 2;
push(p);
if (x < m)
{
modify(2 * p, l, m, x, v);
}
else
{
modify(2 * p + 1, m, r, x, v);
}
pull(p);
}
void modify(int p, const Info &v)
{
modify(1, 0, n, p, v);
}
Info rangeQuery(int p, int l, int r, int x, int y)
{
if (l >= y || r <= x)
{
return Info();
}
if (l >= x && r <= y)
{
return info[p];
}
int m = (l + r) / 2;
push(p);
return rangeQuery(2 * p, l, m, x, y) + rangeQuery(2 * p + 1, m, r, x, y);
}
Info rangeQuery(int l, int r)
{
return rangeQuery(1, 0, n, l, r);
}
void rangeApply(int p, int l, int r, int x, int y, const Tag &v)
{
if (l >= y || r <= x)
{
return;
}
if (l >= x && r <= y)
{
apply(p, v);
return;
}
int m = (l + r) / 2;
push(p);
rangeApply(2 * p, l, m, x, y, v);
rangeApply(2 * p + 1, m, r, x, y, v);
pull(p);
}
void rangeApply(int l, int r, const Tag &v)
{
return rangeApply(1, 0, n, l, r, v);
}
void half(int p, int l, int r)
{
if (info[p].act == 0)
{
return;
}
if ((info[p].min + 1) / 2 == (info[p].max + 1) / 2)
{
apply(p, {-(info[p].min + 1) / 2});
return;
}
int m = (l + r) / 2;
push(p);
half(2 * p, l, m);
half(2 * p + 1, m, r);
pull(p);
}
void half()
{
half(1, 0, n);
}
};

constexpr i64 inf = 1E18;

struct Tag
{
i64 add = 0;

void apply(Tag t)
{
add += t.add;
}
};

struct Info
{
i64 min = inf;
i64 max = -inf;
i64 sum = 0;
i64 act = 0;

void apply(Tag t)
{
min += t.add;
max += t.add;
sum += act * t.add;
}
};

Info operator+(Info a, Info b)
{
Info c;
c.min = std::min(a.min, b.min);
c.max = std::max(a.max, b.max);
c.sum = a.sum + b.sum;
c.act = a.act + b.act;
return c;
}

int main()
{
int n, m;
cin >> n >> m;
vector<Info> a(n);
for (int i = 0; i < n; ++i)
{
cin >> a[i].sum;
a[i].act = 1;
a[i].max = a[i].min = a[i].sum;
}
LazySegmentTree<Info, Tag> sgt(a);
while (m--)
{
int t, l, r, x;
cin >> t >> l >> r;
l--;
if (t == 1)
{
cin >> x;
sgt.rangeApply(l, r, {x});
}
else
{
cout << sgt.rangeQuery(l, r).sum << endl;
}
}
return 0;
}

练习题目

P3372 【模板】线段树 1 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)


线段树
http://pikachuxpf.github.io/posts/8893d943/
作者
Pikachu_fpx
发布于
2024年7月28日
许可协议