线段树(lazy标记)-- 模板

 int a[MAXN], ans[MAXN << ], lazy[MAXN << ];
void PushUp(int rt) {
ans[rt] = ans[rt << ] + ans[rt << | ];
}
void PushDown(int rt, int ln, int rn) { //ln表示左子树元素结点个数,rn表示右子树结点个数
if (lazy[rt]) {
lazy[rt << ] += lazy[rt];
lazy[rt << | ] += lazy[rt];
ans[rt << ] += lazy[rt] * ln;
ans[rt << | ] += lazy[rt] * rn;
lazy[rt] = ;
}
}
//建树Build(1,n,1)
void Build(int l, int r, int rt) {
if (l == r) {
ans[rt] = a[l];
return;
}
int mid = (l + r) >> ;
Build(l, mid, rt << );
Build(mid + , r, rt << | );
PushUp(rt);
}
//点更新Add(L,C,1,n,1)
void Add(int L, int C, int l, int r, int rt) {
if (l == r) {
ans[rt] += C;
return;
}
int mid = (l + r) >> ;
//PushDown(rt,mid-l+1,r-mid); 若既有点更新又有区间更新,需要这句话
if (L <= mid)
Add(L, C, l, mid, rt << );
else
Add(L, C, mid + , r, rt << | );
PushUp(rt);
}
//区间更新Upadate(L,R,C,1,n,1)
void Update(int L, int R, int C, int l, int r, int rt) {
if (L <= l && r <= R) {
ans[rt] += C * (r - l + );
lazy[rt] += C;
return;
}
int mid = (l + r) >> ;
PushDown(rt, mid - l + , r - mid);
if (L <= mid)
Update(L, R, C, l, mid, rt << );
if (R > mid)
Update(L, R, C, mid + , r, rt << | );
PushUp(rt);
}
//区间查询Query(L,R,1,n,1)
LL Query_sum(int L, int R, int l, int r, int rt) {
if (L <= l && r <= R)
return ans[rt];
int mid = (l + r) >> ;
PushDown(rt, mid - l + , r - mid); //若更新只有点更新,不需要这句
LL ANS = ;
if (L <= mid)
ANS += Query_sum(L, R, l, mid, rt << );
if (R > mid)
ANS += Query_sum(L, R, mid + , r, rt << | );
return ANS;
}
//区间最大值
int Query_max(int L, int R, int l, int r, int rt) {
if (L <= l&&R <= r)
return ans[rt];
int mid = (l + r) >> ;
PushDown(rt, mid - l + , r - mid);
int ANS = ;
if (L <= mid) ANS = max(ANS, Query_max(L, R, l, mid, rt << ));
if (R > mid) ANS = max(ANS, Query_max(L, R, mid + , r, rt << | ));
return ANS;
}
//单点查询
int Query(int L, int R, int l, int r, int rt) {
if (L == l&&R == r)
return ans[rt];
int mid = (l + r) >> ;
PushDown(rt, mid - l + , r - mid);
int ANS = ;
if (L <= mid)
ANS = Query(L, R, l, mid, rt << );
if (R > mid)
ANS = Query(L, R, mid + , r, rt << | );
return ANS;
}
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