[模板] splay(维护序列)

提交至 [NOI2005]维护数列

常数非常非常大.....先当板子背了。

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#include <cstdio>
#include <algorithm>
#include <cstring>
#include <queue>

using namespace std;

const int maxn = 500010;

queue<int> Q;
int n, m, rt;

char buf[100];
int a[maxn];
int ch[maxn][2], fa[maxn], rev[maxn], has_tag[maxn], sz[maxn], tag[maxn], val[maxn], lsum[maxn], rsum[maxn], msum[maxn], sum[maxn], mx[maxn];

void (int x) {
sz[x] = sz[ch[x][0]] + sz[ch[x][1]] + 1;
sum[x] = sum[ch[x][0]] + sum[ch[x][1]] + val[x];
msum[x] = max(rsum[ch[x][0]] + lsum[ch[x][1]] + val[x], max(msum[ch[x][0]], msum[ch[x][1]]));
lsum[x] = max(lsum[ch[x][0]], sum[ch[x][0]] + val[x] + lsum[ch[x][1]]);
rsum[x] = max(rsum[ch[x][1]], sum[ch[x][1]] + val[x] + rsum[ch[x][0]]);
mx[x] = max(val[x], max(mx[ch[x][0]], mx[ch[x][1]]));
}

int newNode(int v) {
int ret = Q.front(); Q.pop();
rev[ret] = 0;
tag[ret] = has_tag[ret] = 0;
fa[ret] = 0;
ch[ret][0] = ch[ret][1] = 0;
sz[ret] = 1;
sum[ret] = val[ret] = v;
mx[ret] = v;
if (v > 0) lsum[ret] = rsum[ret] = msum[ret] = v;
else lsum[ret] = rsum[ret] = msum[ret] = 0;
return ret;
}

void Rev(int x) {
swap(ch[x][0], ch[x][1]);
rev[x] ^= 1;
swap(lsum[x], rsum[x]);
}

void modify(int x, int v) {
tag[x] = v; has_tag[x] = 1;
sum[x] = sz[x]*v;
val[x] = v;
mx[x] = v;
if (v > 0) lsum[x] = rsum[x] = msum[x] = sz[x]*v;
else lsum[x] = rsum[x] = msum[x] = 0;
}

void pushDown(int x) {
if (rev[x]) {
if (ch[x][0]) Rev(ch[x][0]);
if (ch[x][1]) Rev(ch[x][1]);
rev[x] = 0;
}
if (has_tag[x]) {
if (ch[x][0]) modify(ch[x][0], tag[x]);
if (ch[x][1]) modify(ch[x][1], tag[x]);
has_tag[x] = 0;
}
}

void delNode(int x) {
Q.push(x);
}

int getson(int x) {
return ch[fa[x]][1] == x;
}

void rotate(int x) {
if (!fa[x]) return;
int f = fa[x], ff = fa[fa[x]], s = getson(x);
if (ff) ch[ff][getson(f)] = x;
fa[x] = ff;
ch[f][s] = ch[x][s^1];
fa[ch[x][s^1]] = f;
ch[x][s^1] = f;
fa[f] = x;
pushUp(f); pushUp(x);
}

void PushDown(int x) {
if (fa[x]) PushDown(fa[x]);
pushDown(x);
}

void splay(int x) {
PushDown(x);
for (int f; fa[x]; rotate(x)) {
if (fa[f=fa[x]]) {
rotate((getson(f) == getson(x)) ? f : x);
}
}
rt = x;
}

int getRank(int x) {
splay(x);
return sz[ch[x][0]] + 1;
}

int kth(int x, int k) {
pushDown(x);
if (k <= sz[ch[x][0]]) {
return kth(ch[x][0], k);
} else if (k == sz[ch[x][0]] + 1) {
splay(x);
return x;
} else return kth(ch[x][1], k-1-sz[ch[x][0]]);
}

void split(int k, int r, int &r1, int &r2) {
if (!k) {
r1 = 0;
r2 = r;
return;
}
if (k == sz[r]) {
r1 = r;
r2 = 0;
return;
}
int x = kth(r, k);
int rs = ch[x][1];
fa[rs] = ch[x][1] = 0;
pushUp(x);
r1 = x; r2 = rs;
}

int maxNode(int x) {
while (ch[x][1]) {
pushDown(x);
x = ch[x][1];
}
splay(x);
return x;
}

int merge(int x, int y) {
if (!x || !y) return x+y;
splay(x);
int mx = maxNode(x);
ch[mx][1] = y; fa[y] = mx;
pushUp(mx);
return mx;
}

void del(int r) {
if (ch[r][0]) del(ch[r][0]);
delNode(r);
if (ch[r][1]) del(ch[r][1]);
}

void print(int r) {
pushDown(r);
if (ch[r][0]) print(ch[r][0]);
printf("%d ", val[r]);
if (ch[r][1]) print(ch[r][1]);
}

int main() {
mx[0] = -0x3f3f3f3f;
scanf("%d%d", &n, &m);
for (int i = 1; i <= 500000; i++) Q.push(i);
for (int i = 1; i <= n; i++) {
scanf("%d", &a[i]);
newNode(a[i]);
}
for (int i = n; i > 1; i--) {
fa[i] = i-1;
ch[i-1][1] = i;
pushUp(i-1);
}
rt = 1;
for (int i = 1; i <= m; i++) {
scanf("%s", buf);
if (buf[0] == 'I') {
int p, cnt;
scanf("%d%d", &p, &cnt);
int t_rt = 0;
while (cnt --) {
int c; scanf("%d", &c);
int t = newNode(c);
ch[t][0] = t_rt;
if (t_rt) fa[t_rt] = t;
t_rt = t;
pushUp(t);
}
int r1, r2;
split(p, rt, r1, r2);
rt = merge(merge(r1, t_rt), r2);
} else if (buf[0] == 'D') {
int p, cnt;
scanf("%d%d", &p, &cnt);
int r1, r2, r3;
split(p-1, rt, r1, r2);
split(cnt, r2, r2, r3);
rt = merge(r1, r3);
del(r2);
} else if (buf[0] == 'M') {
if (buf[2] == 'K') {
int p, cnt, v;
scanf("%d%d%d", &p, &cnt, &v);
int r1, r2, r3;
split(p-1, rt, r1, r2);
split(cnt, r2, r2, r3);
if (r2) modify(r2, v);
rt = merge(merge(r1, r2), r3);
} else {
if (mx[rt] < 0) printf("%dn", mx[rt]);
else printf("%dn", msum[rt]);
}
} else if (buf[0] == 'R') {
int p, cnt;
scanf("%d%d", &p, &cnt);
int r1, r2, r3;
split(p-1, rt, r1, r2);
split(cnt, r2, r2, r3);
Rev(r2);
rt = merge(merge(r1, r2), r3);
} else {
int p, cnt;
scanf("%d%d", &p, &cnt);
if (!cnt) {
puts("0");
} else {
int r1, r2, r3;
split(p-1, rt, r1, r2);
split(cnt, r2, r2, r3);
printf("%dn", sum[r2]);
rt = merge(merge(r1, r2), r3);
}
}
}
return 0;
}