# 线段树大一统模板

C++
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struct SegTree {
struct Node {
int l, r;
int sum, mx, mn;
int lazyAdd, lazyAssign;
bool hasAssign;
};

int n;
vector<Node> tr;

SegTree(int _n = 0) {
init(_n);
}

void init(int _n) {
n = _n, tr.assign(4 * n + 10, {});
if (n > 0)
build(1, 1, n);
}

// 从数组 a[1..n] 建树
void buildFrom(const vector<int>& a) {
if (a.size() < n + 1) {
vector<int> b(n + 1, 0);
for (int i = 1; i <= n; i++)
if (i < a.size())
b[i] = a[i];
build(1, 1, n, b);
}
else
build(1, 1, n, a);
}

// 区间加
void rangeAdd(int L, int R, int v) {
if (L > R)
return;
rangeAdd(1, L, R, v);
}

// 区间赋值
void rangeAssign(int L, int R, int v) {
if (L > R)
return;
rangeAssign(1, L, R, v);
}

// 查询区间和
int querySum(int L, int R) {
if (L > R)
return 0;
return querySum(1, L, R);
}

// 查询区间最大值
int queryMax(int L, int R) {
if (L > R)
return LONG_LONG_MIN;
return queryMax(1, L, R);
}

// 查询区间最小值
int queryMin(int L, int R) {
if (L > R)
return LONG_LONG_MAX;
return queryMin(1, L, R);
}

private:
inline void pushUp(int u) {
tr[u].sum = tr[u << 1].sum + tr[u << 1 | 1].sum;
tr[u].mx = max(tr[u << 1].mx, tr[u << 1 | 1].mx);
tr[u].mn = min(tr[u << 1].mn, tr[u << 1 | 1].mn);
}

inline void applyAssign(int u, int v) {
tr[u].hasAssign = true;
tr[u].lazyAssign = v;
tr[u].lazyAdd = 0;
int len = tr[u].r - tr[u].l + 1;
tr[u].sum = v * len;
tr[u].mx = tr[u].mn = v;
}

inline void applyAdd(int u, int v) {
if (tr[u].hasAssign)
tr[u].lazyAssign += v;
else
tr[u].lazyAdd += v;

int len = tr[u].r - tr[u].l + 1;
tr[u].sum += v * len;
tr[u].mx += v;
tr[u].mn += v;
}

inline void pushDown(int u) {
if (tr[u].hasAssign) {
applyAssign(u << 1, tr[u].lazyAssign);
applyAssign(u << 1 | 1, tr[u].lazyAssign);
tr[u].hasAssign = false;
}
if (tr[u].lazyAdd != 0) {
applyAdd(u << 1, tr[u].lazyAdd);
applyAdd(u << 1 | 1, tr[u].lazyAdd);
tr[u].lazyAdd = 0;
}
}

void build(int u, int l, int r) {
tr[u].l = l, tr[u].r = r;
tr[u].lazyAdd = 0; tr[u].hasAssign = false;

if (l == r) {
tr[u].sum = 0;
tr[u].mx = LONG_LONG_MIN, tr[u].mn = LONG_LONG_MAX;
return;
}

int mid = l + r >> 1;

build(u << 1, l, mid);
build(u << 1 | 1, mid+1, r);
pushUp(u);
}

void build(int u, int l, int r, const vector<int>& a) {
tr[u].l = l, tr[u].r = r;
tr[u].lazyAdd = 0; tr[u].hasAssign = false;

if (l == r) {
tr[u].sum = a[l], tr[u].mx = a[l], tr[u].mn = a[l];
return;
}
int mid = l + r >> 1;
build(u << 1, l, mid, a);
build(u << 1 | 1, mid+1, r, a);
pushUp(u);
}

void rangeAssign(int u, int L, int R, int v) {
if (L <= tr[u].l && tr[u].r <= R) {
applyAssign(u, v);
return;
}
pushDown(u);

int mid = (tr[u].l + tr[u].r) >> 1;

if (L <= mid)
rangeAssign(u << 1, L, R, v);
if (mid < R)
rangeAssign(u << 1 | 1, L, R, v);
pushUp(u);
}

void rangeAdd(int u, int L, int R, int v) {
if (L <= tr[u].l && tr[u].r <= R) {
applyAdd(u, v);
return;
}
pushDown(u);

int mid = (tr[u].l + tr[u].r) >> 1;

if (L <= mid)
rangeAdd(u << 1, L, R, v);
if (mid < R)
rangeAdd(u << 1 | 1, L, R, v);
pushUp(u);
}

int querySum(int u, int L, int R) {
if (L <= tr[u].l && tr[u].r <= R) return tr[u].sum;
pushDown(u);

int mid = (tr[u].l + tr[u].r) >> 1;
int res = 0;

if (L <= mid)
res += querySum(u << 1, L, R);
if (mid < R)
res += querySum(u << 1 | 1, L, R);

return res;
}

int queryMax(int u, int L, int R) {
if (L <= tr[u].l && tr[u].r <= R)
return tr[u].mx;
pushDown(u);

int mid = (tr[u].l + tr[u].r) >> 1;
int res = LONG_LONG_MIN;

if (L <= mid)
res = max(res, queryMax(u << 1, L, R));
if (mid < R)
res = max(res, queryMax(u << 1 | 1, L, R));
return res;
}

int queryMin(int u, int L, int R) {
if (L <= tr[u].l && tr[u].r <= R)
return tr[u].mn;
pushDown(u);

int mid = (tr[u].l + tr[u].r) >> 1;
int res = LONG_LONG_MAX;

if (L <= mid)
res = min(res, queryMin(u << 1, L, R));
if (mid < R)
res = min(res, queryMin(u << 1 | 1, L, R));

return res;
}
};