Blog of RuSun

\begin {array}{c} \mathfrak {One Problem Is Difficult} \\\\ \mathfrak {Because You Don't Know} \\\\ \mathfrak {Why It Is Diffucult} \end {array}

P2173 [ZJOI2012]网络

P2173 [ZJOI2012]网络

每个颜色维护一个 LCT ,注意细节。

查看代码
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#include <cstdio>
#include <algorithm>
using namespace std;
template <class Type>
void read(Type &x)
{
char c;
bool flag = false;
while ((c = getchar()) < '0' || c > '9')
c == '-' && (flag = true);
x = c - '0';
while ((c = getchar()) >= '0' && c <= '9')
x = (x << 3) + (x << 1) + c - '0';
if (flag) x = ~x + 1;
}
template <class Type, class ...rest>
void read(Type &x, rest &...y) { read(x), read(y...); }
template <class Type>
void write(Type x)
{
if (x < 0) putchar('-'), x = ~x + 1;
if (x > 9) write(x / 10);
putchar(x % 10 + '0');
}
const int N = 1e5 + 10;
int n, m, C, q, v[N];
struct LCT
{
struct Node { int p, s[2], tag, v, d; } tr[N];
void pushup (int x) { tr[x].v = max(v[x], max(tr[tr[x].s[0]].v, tr[tr[x].s[1]].v)); }
void reverse (int x) { tr[x].tag ^= 1; swap(tr[x].s[0], tr[x].s[1]); }
void pushdown (int x)
{
if (!tr[x].tag) return;
reverse(tr[x].s[0]), reverse(tr[x].s[1]);
tr[x].tag = 0;
}
void update (int x)
{
if (!isrt(x)) update(tr[x].p);
pushdown(x);
}
bool isrt (int x) { return tr[tr[x].p].s[0] ^ x && tr[tr[x].p].s[1] ^ x; }
void rotate (int x)
{
int y = tr[x].p, z = tr[y].p;
int k = tr[y].s[1] == x;
if (!isrt(y)) tr[z].s[tr[z].s[1] == y] = x;
tr[x].p = z;
tr[y].s[k] = tr[x].s[k ^ 1], tr[tr[x].s[k ^ 1]].p = y;
tr[x].s[k ^ 1] = y, tr[y].p = x;
pushup(y), pushup(x);
}
void splay (int x)
{
update(x);
for (; !isrt(x); rotate(x))
{
int y = tr[x].p, z = tr[y].p;
if (!isrt(y)) rotate((y == tr[z].s[1]) ^ (x == tr[y].s[1]) ? x : y);
}
}
void access (int t)
{
for (int x = t, y = 0; x; y = x, x = tr[x].p)
splay(x), tr[x].s[1] = y, pushup(x);
splay(t);
}
void mkrt (int x) { access(x); reverse(x); }
int findrt (int x)
{
access(x);
for (; tr[x].s[0]; x = tr[x].s[0]) pushdown(x);
splay(x);
return x;
}
void link (int x, int y)
{
mkrt(x);
if (findrt(y) ^ x) tr[x].p = y, ++tr[x].d, ++tr[y].d;
}
bool cut (int x, int y)
{
mkrt(x);
if (findrt(y) == x && tr[y].p == x && !tr[y].s[0])
{
tr[y].p = tr[x].s[1] = 0;
pushup(x);
--tr[x].d, --tr[y].d;
return true;
}
return false;
}
void Op0 (int x, int y) { mkrt(x); v[x] = y; pushup(x); }
void Op2 (int u, int v)
{
if (findrt(u) ^ findrt(v)) return void(puts("-1"));
mkrt(u), access(v);
write(tr[v].v), puts("");
}
} lct[20];
int main ()
{
read(n, m, C, q);
for (int i = 1; i <= n; ++i)
{
read(v[i]);
for (int j = 0; j < C; ++j) lct[j].pushup(i);
}
for (int a, b, c; m; --m)
read(a, b, c), lct[c].link(a, b);
for (int op; q; --q)
{
read(op);
if (op == 0)
{
int x, y; read(x, y);
for (int i = 0; i < C; ++i) lct[i].Op0(x, y);
}
else if (op == 1)
{
int u, v, w; read(u, v, w);
int t = -1;
for (int i = 0; i < C && !~t; ++i)
if (lct[i].cut(u, v))
lct[i].link(u, v), t = i;
if (!~t) { puts("No such edge."); continue; }
if (w ^ t && (lct[w].tr[u].d == 2 || lct[w].tr[v].d == 2))
{ puts("Error 1."); continue; }
if (w ^ t && (lct[w].findrt(u) == lct[w].findrt(v)))
{ puts("Error 2."); continue; }
lct[t].cut(u, v); lct[w].link(u, v);
puts("Success.");
}
else if (op == 2)
{
int c, u, v; read(c, u, v);
lct[c].Op2(u, v);
}
}
return 0;
}