【CodeVS 5032】【省队集训2016 Day5 T1】Play with array

一开始我用分块大法,分成$\sqrt{n}$块,每个块上维护一个Splay,然后balabala维护一下,时间复杂度是$O(n\sqrt{n}logn)$。后来对拍的时候发现比$O(n^2)$的暴力跑得还慢,xxy学长说是Splay常数太大2333333

考试的时候没想到可以在每个块上建一个$10^5$的数组来存储每个数字出现的次数,而是用了常数巨大且复杂度多了一个log的SplayQwQ,发现自己完全没有对空间复杂度的认识啊(┙>∧<)┙へ┻┻

标算是块状链表,什么balabala比较基础地维护,卡着空间开2333333

我把块的大小设为$[\frac{\sqrt{n}}{2},\sqrt{n}×2)$,在codevs上TLE,,,

后来把块的大小改成了$[\sqrt{n},\sqrt{n}×2)$,1s内能轻松跑过。

也许是因为某些玄学的原因吧,,,

#include<cmath>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
const int N = 100000;
const int B = 316;
const int BB = 632; int in() {
int k = 0, fh = 1; char c = getchar();
for(; c < '0' || c > '9'; c = getchar())
if (c == '-') fh = -1;
for(; c >= '0' && c <= '9'; c = getchar())
k = (k << 3) + (k << 1) + c - '0';
return k * fh;
} struct BLOCK {
BLOCK() {
nxt = NULL;
len = 0;
memset(times, 0, sizeof(times));
}
BLOCK *nxt;
int a[BB + B + 3], times[N + 1], len;
}; int cnt = 0;
int n; namespace BlockList {
BLOCK *head;
void Build(BLOCK * t) {head = t;}
void split(BLOCK *r) {
int rlen = r->len / 2, tlen = r->len - rlen, to = rlen;
BLOCK *t = new BLOCK;
memcpy(t->a + 1, r->a + rlen + 1, sizeof(int) * tlen);
for(int i = 1; i <= tlen; ++i) {
++t->times[t->a[i]];
--r->times[t->a[i]];
}
t->len = tlen;
r->len = rlen;
t->nxt = r->nxt;
r->nxt = t;
}
void merge(BLOCK *r) {
BLOCK *t = r->nxt;
if (t == NULL) return;
int tlen = t->len, to = r->len;
memcpy(r->a + to + 1, t->a + 1, sizeof(int) * tlen);
for(int i = 1; i <= tlen; ++i)
++r->times[t->a[i]];
r->len += tlen;
t = t->nxt;
delete r->nxt;
r->nxt = t;
if (r->len >= BB) split(r);
}
BLOCK *find(int &k) {
BLOCK *t = head;
while (k - t->len > 0 && t != NULL) {
k -= t->len;
t = t->nxt;
}
return t;
}
void work(int l, int r) {
BLOCK *t = find(r);
int num = t->a[r];
--t->times[num];
int tlen = --t->len;
for(int i = r; i <= tlen; ++i)
t->a[i] = t->a[i + 1];
if (t->len < B) merge(t);
t = find(l);
for(int i = ++t->len; i > l; --i)
t->a[i] = t->a[i - 1];
t->a[l] = num;
++t->times[num];
if (t->len >= BB) split(t);
}
int query(int l, int r, int k) {
BLOCK *tl = find(l), *tr = find(r);
int ret = 0;
if (tl == tr) {
for(int i = l; i <= r; ++i)
if (tl->a[i] == k) ++ret;
return ret;
} else {
int lentl = tl->len;
for(int i = l; i <= lentl; ++i)
if (tl->a[i] == k) ++ret;
for(int i = 1; i <= r; ++i)
if (tr->a[i] == k) ++ret;
for(tl = tl->nxt; tl != tr && tl != NULL; ret += tl->times[k], tl = tl->nxt);
return ret;
}
}
} int main() {
n = in();
int c = 0, k;
BLOCK *tmp = new BLOCK;
BlockList::Build(tmp);
for(int i = 1; i <= n; ++i) {
++c;
if (c > B) {
c = 1;
tmp->len = B;
tmp->nxt = new BLOCK;
tmp = tmp->nxt;
}
k = in();
tmp->a[c] = k;
++tmp->times[k];
}
tmp->len = c;
int m = in(), op, l, r;
while (m--) {
op = in(); l = in(); r = in();
if (op == 1)
BlockList::work(l, r);
else {
k = in();
printf("%d\n", BlockList::query(l, r, k));
}
}
return 0;
}

继续颓文化课,期末考试Bless All!

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