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| #include<cmath>
#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;
#define sqz main
#define ll long long
#define rep(i, a, b) for (int i = (a); i <= (b); i++)
#define per(i, a, b) for (int i = (a); i >= (b); i--)
#define Rep(i, a, b) for (int i = (a); i < (b); i++)
#define travel(i, u) for (int i = head[u]; ~i; i = edge[i].next)
const ll INF = 1e9, Mo = 51061;
const int N = 100000;
const double eps = 1e-6;
namespace slow_IO
{
ll read()
{
ll x = 0; int zf = 1; char ch = getchar();
while (ch != '-' && (ch < '0' || ch > '9')) ch = getchar();
if (ch == '-') zf = -1, ch = getchar();
while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar();
return x * zf;
}
void write(ll y)
{
if (y < 0) putchar('-'), y = -y;
if (y > 9) write(y / 10);
putchar(y % 10 + '0');
}
}
using namespace slow_IO;
char st[5];
struct LinkCutTree
{
int Fa[N + 5], Son[N + 5][2], rev[N + 5], Size[N + 5], Stack[N + 5], top;
unsigned Sum[N + 5], Val[N + 5], Mul[N + 5], Add[N + 5];
inline void Modify(int u, int a, int m)
{
if (!u) return;
Sum[u] = (Sum[u] * m + Size[u] * a) % Mo;
Val[u] = (Val[u] * m + a) % Mo;
Mul[u] = (Mul[u] * m) % Mo;
Add[u] = (Add[u] * m + a) % Mo;
}
inline void up(int u)
{
Size[u] = (Size[Son[u][0]] + Size[Son[u][1]] + 1) % Mo;
Sum[u] = (Sum[Son[u][0]] + Sum[Son[u][1]] + Val[u]) % Mo;
}
inline void down(int u)
{
if (rev[u])
{
rev[Son[u][0]] ^= 1, rev[Son[u][1]] ^= 1, rev[u] ^= 1;
swap(Son[u][0], Son[u][1]);
}
if (Add[u] != 0 || Mul[u] != 1)
{
Modify(Son[u][0], Add[u], Mul[u]);
Modify(Son[u][1], Add[u], Mul[u]);
}
Add[u] = 0, Mul[u] = 1;
}
inline int isroot(int u)
{
return (Son[Fa[u]][0] != u && Son[Fa[u]][1] != u);
}
inline void Rotate(int x)
{
int y = Fa[x], z = Fa[y];
int l = Son[y][1] == x, r = l ^ 1;
if (!isroot(y)) Son[z][Son[z][1] == y] = x;
Son[y][l] = Son[x][r], Fa[Son[x][r]] = y;
Son[x][r] = y, Fa[y] = x, Fa[x] = z;
up(y), up(x);
}
inline void Splay(int x)
{
Stack[top = 1] = x;
for (int y = x; !isroot(y); y = Fa[y]) Stack[++top] = Fa[y];
per(i, top, 1) down(Stack[i]);
while (!isroot(x))
{
int y = Fa[x], z = Fa[y];
if (!isroot(y))
{
if ((Son[z][1] == y) ^ (Son[y][1] == x)) Rotate(x);
else Rotate(y);
}
Rotate(x);
}
}
inline void Access(int u)
{
for (int last = 0; u; last = u, u = Fa[u])
Splay(u), Son[u][1] = last, up(u);
}
inline void Make_Root(int u)
{
Access(u), Splay(u), rev[u] ^= 1;
}
inline int Find_Root(int u)
{
Access(u), Splay(u);
while (Son[u][0]) u = Son[u][0];
return u;
}
inline void Split(int x, int y)
{
Make_Root(x), Access(y), Splay(y);
}
inline void Link(int x, int y)
{
Make_Root(x);
Fa[x] = y;
}
inline void Cut(int x, int y)
{
Make_Root(x); Access(y); Splay(y);
Fa[x] = Son[y][0] = 0;
}
}LCT;
int sqz()
{
int n = read(), m = read();
rep(i, 1, n) LCT.Val[i] = LCT.Mul[i] = 1;
Rep(i, 1, n) LCT.Link((int)read(), (int)read());
while (m--)
{
scanf("%s", st);
if (st[0] == '+')
{
int x = read(), y = read(), z = read();
LCT.Split(x, y), LCT.Modify(y, z, 1);
}
if (st[0] == '-')
{
int x1 = read(), y1 = read(), x2 = read(), y2 = read();
LCT.Cut(x1, y1), LCT.Link(x2, y2);
}
if (st[0] == '*')
{
int x = read(), y = read(), z = read();
LCT.Split(x, y), LCT.Modify(y, 0, z);
}
if (st[0] == '/')
{
int x = read(), y = read();
LCT.Split(x, y); printf("%u\n", LCT.Sum[y]);
}
}
return 0;
}
|
