[BZOJ3337] ORZJRY I --块状链表大毒瘤
题目大意:维护一个序列
支持:
1.单点插入
2.单点删除
3.区间翻转
4.区间旋转
5.区间加
6.区间赋值
7.询问区间和
8.询问区间极差
9.询问区间与给定某个数差值绝对值的最小值
10.询问区间第k小
11.询问区间某个数排名
艹 11个操作 太毒瘤了 写了一下午+晚上一节课(包含中途透彻时间
这么多操作各种平衡树都上不了了,就块状链表
操作1:找到位置,把一个块拆分,转化为在快末尾插入
操作2:拆分块,转化为在块末尾删除
操作3:把翻转的区间拎出来,每个区间打个翻转标记,然后指针瞎指下
操作4:把旋转的区间拎出来,每个区间打个旋转标记
操作5:把区间拎出来打加法标记
操作6:把区间拎出来打赋值标记
操作7:把区间拎出来维护区间sum直接求和
操作8:每个块维护s数组代表块内元素排序好的结果,把区间拎出来后直接询问,每个块返回s[0]和s[size-1]
操作9:每个块s数组里lower_bound和upper_bound
操作10:二分,转化为操作11
操作11:每个块s数组里lower_bound
细节:
0.每次操作后遍历整个链表,检查两个相邻块大小太小就要合并
每个块维护a[],s[],sz,sum,三个标记,链表指针
区间赋值标记优先级比另外两个高,另外两个可以共存
需要对某个块进行大修改(分裂/合并)等之前要先清除标记,区间查询内不能清除标记
块尾insert和delete维护s数组要用插入排序及其逆操作
。。。忘了还有啥要注意的了
#include <cstdio>
#include <cmath>
#include <vector>
#include <algorithm>
using namespace std;
struct fuck
{
int a[1000], s[1000]; //原序列/有序序列
int sz, chenge_flag, add_flag;
//chenge_flag存在时忽视add_flag和rev_flag
//不存在时另外两个标记互相不影响
long long sum; //和
bool rev_flag; //翻转标记
fuck *nex; //下个指针
fuck()
{
sz = 0;
sum = 0;
nex = 0;
chenge_flag = -1;
add_flag = 0;
rev_flag = false;
}
void access()
{
if (chenge_flag != -1)
{
for (int i = 0; i < sz; i++) a[i] = s[i] = chenge_flag;
sum = sz * (long long)chenge_flag;
chenge_flag = -1;
}
else
{
if (add_flag != 0)
{
for (int i = 0; i < sz; i++) a[i] += add_flag, s[i] += add_flag;
sum += sz * (long long)add_flag;
add_flag = 0;
}
if (rev_flag != 0) {reverse(a, a + sz); rev_flag ^= 1; }
}
}
void gc(int x)
{
add_flag = rev_flag = 0;
chenge_flag = x;
}
void ga(int x)
{
if (chenge_flag == -1) add_flag += x;
else chenge_flag += x;
}
void gr()
{
if (chenge_flag == -1) rev_flag ^= 1;
}
void push_back(int x)
{
access();
//维护s
if (sz == 0 || x >= s[sz - 1]) s[sz] = x;
else for (int i = sz - 1; i >= 0; i--)
{
s[i + 1] = s[i];
if (i == 0 || s[i - 1] <= x) { s[i] = x; break; }
}
//维护sum和a
sum += (a[sz++] = x);
}
void delete_back()
{
access();
sum -= a[sz - 1];
for (int i = 0 ;i < sz; i++)
{
if (s[i] == a[sz - 1])
{
for (int j = i + 1; j < sz; j++)
s[j - 1] = s[j];
}
}
sz--;
}
int qmax()
{
if (sz == 0) return 0;
else if (chenge_flag != -1) return chenge_flag;
else return s[sz - 1] + add_flag;
}
int qmin()
{
if (sz == 0) return 0x7fffffff;
else if (chenge_flag != -1) return chenge_flag;
else return s[0] + add_flag;
}
long long qsum()
{
if (chenge_flag != -1) return chenge_flag * (long long)sz;
else return sum + add_flag * (long long)sz;
}
int query(int val)
{
if (chenge_flag != -1) return chenge_flag < val ? sz : 0;
val -= add_flag;
return lower_bound(s, s + sz, val) - s;
}
int mindis(int val)
{
if (sz == 0) return 0x7fffffff;
if (chenge_flag != -1) return abs(chenge_flag - val);
val -= add_flag;
int pos0 = lower_bound(s, s + sz, val) - s;
if (pos0 < sz && s[pos0] == val) return 0; else pos0--;
int pos1 = upper_bound(s, s + sz, val) - s;
if (pos0 >= 0 && pos0 < sz) pos0 = val - s[pos0];
else pos0 = 0x7fffffff;
if (pos1 >= 0 && pos1 < sz) pos1 = s[pos1] - val;
else pos1 = 0x7fffffff;
// printf("id = %p, [%d, %d
return min(pos0, pos1);
}
void print(bool p = 0)const
{
printf("------------\n某一块%p\n大小%d,和为%lld\nnex=%p\n", this, sz, sum, nex);
printf("c=%d, a=%d, r=%d\n", chenge_flag, add_flag, rev_flag);
for (int i = 0; i < sz; i++) { printf("%d ", a[i]);} printf("\n");
for (int i = 0; i < sz; i++) { printf("%d ", s[i]);} printf("\n");
if (p && nex != 0) nex->print(p); //输出下一页
}
};
int n, m, init[100010];
int blocksz, cur;
fuck *start;
fuck *newnode() { return new fuck; }
void delnode(fuck *x) { delete x; }
fuck *split(fuck *x, int pos) //x保留pos个元素,在x后面新建一个节点
{
x->access();
if (pos > x->sz) { printf("fuck!\n"); return 0; }
fuck *res = newnode();
//-----维护res
for (int i = pos; i < x->sz; i++)
res->sum += (res->a[i - pos] = res->s[i - pos] = x->a[i]);
res->sz = x->sz - pos;
sort(res->s, res->s + res->sz);
res->nex = x->nex;
//-----维护x
x->sz = pos; x->sum = 0;
for (int i = 0; i < pos; i++) x->sum += (x->s[i] = x->a[i]);
sort(x->s, x->s + pos);
x->nex = res;
return res;
}
void merge(fuck *x)
{
x->access();
x->nex->access();
fuck *p = x->nex;
for (int i = 0; i < p->sz; i++)
x->sum += (x->a[x->sz + i] = p->a[i]);
x->sz += p->sz;
x->nex = p->nex;
for (int i = 0; i < x->sz; i++) x->s[i] = x->a[i];
sort(x->s, x->s + x->sz);
delnode(p);
}
void maintain()
{
for (fuck *p = start; p != 0; p = p->nex)
{
while (p->nex != 0 && p->sz + p->nex->sz <= blocksz)
merge(p);
}
}
void get(int l, int r, fuck* &lp, fuck* &rp)
{
lp = start;
while (lp != 0)
{
if (l <= lp->sz) break;
l -= lp->sz;
lp = lp->nex;
}
if (l != 1)
split(lp, l - 1), lp = lp->nex;
rp = start;
while (rp != 0)
{
if (r <= rp->sz) break;
r -= rp->sz;
rp = rp->nex;
}
if (r != rp->sz)
split(rp, r);
}
void del(fuck *z)
{
if (z->nex) del(z->nex);
delete z;
}
void chkmax(int &a, int b) { if (a < b) a = b; }
void chkmin(int &a, int b) { if (a > b) a = b; }
int main()
{
scanf("%d", &n);
for (int i = 1; i <= n; i++) scanf("%d", &init[i]);
scanf("%d", &m);
blocksz = sqrt(n + m / 5) * 3 / 4;
fuck *now = start = newnode();
for (int i = 1; i <= n; i++)
{
now->push_back(init[i]);
if (i % blocksz == 0 && i != n)
{
fuck *p = newnode();
now->nex = p;
now = p;
}
}
for (int opd, x, y, k, val, i = 1; i <= m; i++)
{
scanf("%d", &opd);
switch (opd)
{
case 1:
{
scanf("%d%d", &x, &val);
fuck *p = start;
while (p != 0)
{
if (x <= p->sz) break;
x -= p->sz;
p = p->nex;
}
//从0开始计数,放在p的第x个位置,也就是说p前面有x个数
split(p, x);
p->push_back(val);
maintain();
break;
}
case 2:
{
scanf("%d", &x);
fuck *p = start;
while (p != 0)
{
if (x <= p->sz) break;
x -= p->sz;
p = p->nex;
}
//删除第x个数,所以前面需要x个数
split(p, x);
p->delete_back();
maintain();
break;
}
case 3:
{
scanf("%d%d", &x, &y);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
vector<fuck*> li;
split(l, 0);
for (fuck *p = l->nex; p != r; p = p->nex)
li.push_back(p), p->gr();
l->nex = li[li.size() - 1];
for (int i = li.size() - 1; i > 0; i--)
li[i]->nex = li[i - 1];
li[0]->nex = r;
maintain();
break;
}
case 4:
{
scanf("%d%d%d", &x, &y, &k);
fuck *l1, *r1, *l2, *r2;
get(x, y - k, l1, r1);
get(y - k + 1, y, l2, r2);
if (start == l1) start = l2;
else
{
fuck *p = start;
while (p->nex != l1) p = p->nex;
p->nex = l2;
}
r1->nex = r2->nex;
r2->nex = l1;
maintain();
break;
}
case 5:
{
scanf("%d%d%d", &x, &y, &val);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
for (fuck *p = l; p != r; p = p->nex)
p->ga(val);
maintain();
break;
}
case 6:
{
scanf("%d%d%d", &x, &y, &val);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
for (fuck *p = l; p != r; p = p->nex)
p->gc(val);
maintain();
break;
}
case 7:
{
scanf("%d%d", &x, &y);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
long long ans = 0;
for (fuck *p = l; p != r; p = p->nex)
ans += p->qsum();
printf("%lld\n", ans);
maintain();
break;
}
case 8:
{
scanf("%d%d", &x, &y);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
int maxn = 0, minn = 0x7fffffff;
for (fuck *p = l; p != r; p = p->nex)
chkmax(maxn, p->qmax()), chkmin(minn, p->qmin());
printf("%d\n", maxn - minn);
maintain();
break;
}
case 9:
{
scanf("%d%d%d", &x, &y, &val);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
int res = 0x7fffffff;
for (fuck *p = l; p != r; p = p->nex)
chkmin(res, p->mindis(val));
printf("%d\n", res);
maintain();
break;
}
case 10:
{
scanf("%d%d%d", &x, &y, &k);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
long long cl = 1, cr = 0x7fffffff;
while (cl < cr)
{
long long mid = (cl + cr) / 2;
int tot = 0;
for (fuck *p = l; p != r; p = p->nex)
tot += p->query(mid);
if (tot >= k) cr = mid;
else cl = mid + 1;
}
printf("%lld\n", cl - 1);
maintain();
break;
}
case 11:
{
scanf("%d%d%d", &x, &y, &val);
fuck *l, *r;
get(x, y, l, r), r = r->nex;
int ans = 0;
for (fuck *p = l; p != r; p = p->nex)
ans += p->query(val);
printf("%d\n", ans);
maintain();
break;
}
}
}
del(start);
return 0;
}