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## splay-tree-rr-sir | ||
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- used here by rr sir, I have no idea how to use it or what it's used in mostly, [RR Sir ABC F Submission](https://atcoder.jp/contests/abc350/submissions/52600529) | ||
- ``` | ||
https://thesobersobber.github.io/CP-Snippets/Splay Tree | ||
``` | ||
- [github-snip-file](https://github.com/theSoberSobber/CP-Snippets/blob/main/snippets.json#L2466) | ||
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```cpp | ||
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#include <ext/pb_ds/assoc_container.hpp> | ||
#include <ext/pb_ds/tree_policy.hpp> | ||
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namespace allocator { | ||
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// Array allocator. | ||
template <class T, int MAXSIZE> | ||
struct array { | ||
T v[MAXSIZE], *top; | ||
array() : top(v) {} | ||
T *alloc(const T &val = T()) { return &(*top++ = val); } | ||
void dealloc(T *p) {} | ||
}; | ||
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// Stack-based array allocator. | ||
template <class T, int MAXSIZE> | ||
struct stack { | ||
T v[MAXSIZE]; | ||
T *spot[MAXSIZE], **top; | ||
stack() { | ||
for (int i = 0; i < MAXSIZE; ++i) spot[i] = v + i; | ||
top = spot + MAXSIZE; | ||
} | ||
T *alloc(const T &val = T()) { return &(**--top = val); } | ||
void dealloc(T *p) { *top++ = p; } | ||
}; | ||
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} // namespace allocator | ||
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namespace splay { | ||
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// Abstract node struct. | ||
template <class T> | ||
struct node { | ||
T *f, *c[2]; | ||
int size; | ||
node() { | ||
f = c[0] = c[1] = nullptr; | ||
size = 1; | ||
} | ||
void push_down() {} | ||
void update() { | ||
size = 1; | ||
for (int t = 0; t < 2; ++t) | ||
if (c[t]) size += c[t]->size; | ||
} | ||
}; | ||
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// Abstract reversible node struct. | ||
template <class T> | ||
struct reversible_node : node<T> { | ||
int r; | ||
reversible_node() : node<T>() { r = 0; } | ||
void push_down() { | ||
node<T>::push_down(); | ||
if (r) { | ||
for (int t = 0; t < 2; ++t) | ||
if (node<T>::c[t]) node<T>::c[t]->reverse(); | ||
r = 0; | ||
} | ||
} | ||
void update() { node<T>::update(); } | ||
// Reverse the range of this node. | ||
void reverse() { | ||
std::swap(node<T>::c[0], node<T>::c[1]); | ||
r = r ^ 1; | ||
} | ||
}; | ||
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template <class T, int MAXSIZE = 500000, | ||
class alloc = allocator::array<T, MAXSIZE + 2>> | ||
struct tree { | ||
alloc pool; | ||
T *root; | ||
// Get a new node from the pool. | ||
T *new_node(const T &val = T()) { return pool.alloc(val); } | ||
tree() { | ||
root = new_node(), root->c[1] = new_node(), root->size = 2; | ||
root->c[1]->f = root; | ||
} | ||
// Helper function to rotate node. | ||
void rotate(T *n) { | ||
int v = n->f->c[0] == n; | ||
T *p = n->f, *m = n->c[v]; | ||
if (p->f) p->f->c[p->f->c[1] == p] = n; | ||
n->f = p->f, n->c[v] = p; | ||
p->f = n, p->c[v ^ 1] = m; | ||
if (m) m->f = p; | ||
p->update(), n->update(); | ||
} | ||
// Splay n so that it is under s (or to root if s is null). | ||
void splay(T *n, T *s = nullptr) { | ||
while (n->f != s) { | ||
T *m = n->f, *l = m->f; | ||
if (l == s) | ||
rotate(n); | ||
else if ((l->c[0] == m) == (m->c[0] == n)) | ||
rotate(m), rotate(n); | ||
else | ||
rotate(n), rotate(n); | ||
} | ||
if (!s) root = n; | ||
} | ||
// Get the size of the tree. | ||
int size() { return root->size - 2; } | ||
// Helper function to walk down the tree. | ||
int walk(T *n, int &v, int &pos) { | ||
n->push_down(); | ||
int s = n->c[0] ? n->c[0]->size : 0; | ||
(v = s < pos) && (pos -= s + 1); | ||
return s; | ||
} | ||
// Insert node n to position pos. | ||
void insert(T *n, int pos) { | ||
T *c = root; | ||
int v; | ||
++pos; | ||
while (walk(c, v, pos), c->c[v] && (c = c->c[v])) | ||
; | ||
c->c[v] = n, n->f = c, splay(n); | ||
} | ||
// Find the node at position pos. If sp is true, splay it. | ||
T *find(int pos, int sp = true) { | ||
T *c = root; | ||
int v; | ||
++pos; | ||
while ((pos < walk(c, v, pos) || v) && (c = c->c[v])) | ||
; | ||
if (sp) splay(c); | ||
return c; | ||
} | ||
// Find the range [posl, posr) on the splay tree. | ||
T *find_range(int posl, int posr) { | ||
T *r = find(posr), *l = find(posl - 1, false); | ||
splay(l, r); | ||
if (l->c[1]) l->c[1]->push_down(); | ||
return l->c[1]; | ||
} | ||
// Insert nn of size nn_size to position pos. | ||
void insert_range(T **nn, int nn_size, int pos) { | ||
T *r = find(pos), *l = find(pos - 1, false), *c = l; | ||
splay(l, r); | ||
for (int i = 0; i < nn_size; ++i) c->c[1] = nn[i], nn[i]->f = c, c = nn[i]; | ||
for (int i = nn_size - 1; i >= 0; --i) nn[i]->update(); | ||
l->update(), r->update(), splay(nn[nn_size - 1]); | ||
} | ||
// Helper function to dealloc a subtree. | ||
void dealloc(T *n) { | ||
if (!n) return; | ||
dealloc(n->c[0]); | ||
dealloc(n->c[1]); | ||
pool.dealloc(n); | ||
} | ||
// Remove from position [posl, posr). | ||
void erase_range(int posl, int posr) { | ||
T *n = find_range(posl, posr); | ||
n->f->c[1] = nullptr, n->f->update(), n->f->f->update(), n->f = nullptr; | ||
dealloc(n); | ||
} | ||
}; | ||
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} // namespace splay | ||
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const int MAXSIZE = 500005; | ||
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struct node: splay::reversible_node<node> { | ||
long long val, val_min, label_add; | ||
node(long long v = 0) : splay::reversible_node<node>(), val(v) { val_min = label_add = 0; } | ||
// Add v to the subtree. | ||
void add(long long v) { | ||
val += v; | ||
val_min += v; | ||
label_add += v; | ||
} | ||
void push_down() { | ||
splay::reversible_node<node>::push_down(); | ||
for (int t = 0; t < 2; ++t) if (c[t]) c[t]->add(label_add); | ||
label_add = 0; | ||
} | ||
void update() { | ||
splay::reversible_node<node>::update(); | ||
val_min = val; | ||
for (int t = 0; t < 2; ++t) if (c[t]) val_min = std::min(val_min, c[t]->val_min); | ||
} | ||
}; | ||
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splay::tree<node, MAXSIZE, allocator::stack<node, MAXSIZE + 2>> t; | ||
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``` |
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