FZU 2082 过路费 (树链剖分 修改单边权)

时间:2024-01-01 16:53:33

题目链接:http://acm.fzu.edu.cn/problem.php?pid=2082

树链剖分模版题,求和,修改单边权。

 #include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long LL;
const int MAXN = 5e4 + ;
struct EDGE {
int to , next;
LL cost;
}edge[MAXN << ];
int from[MAXN] , to[MAXN] , head[MAXN] , cnt , tot;
LL cost[MAXN] , val[MAXN] , dis[MAXN];
int top[MAXN] , dep[MAXN] , size[MAXN] , son[MAXN] , par[MAXN] , id[MAXN]; void init() {
memset(head , - , sizeof(head));
cnt = tot = ;
} inline void add(int u , int v , LL cost) {
edge[tot].next = head[u];
edge[tot].to = v;
edge[tot].cost = cost;
head[u] = tot++;
} void dfs1(int u , int p , int d) {
dep[u] = d , par[u] = p , size[u] = , son[u] = u;
for(int i = head[u] ; ~i ; i = edge[i].next) {
int v = edge[i].to;
if(v == p)
continue;
dfs1(v , u , d + );
if(size[v] > size[son[u]])
son[u] = v;
size[u] += size[v];
}
} void dfs2(int u , int p , int t) {
top[u] = t , id[u] = ++cnt;
if(son[u] != u)
dfs2(son[u] , u , t);
for(int i = head[u] ; ~i ; i = edge[i].next) {
int v = edge[i].to;
if(v == son[u] || v == p)
continue;
dfs2(v , u , v);
}
} struct SegTree {
int l , r;
LL sum;
}T[MAXN << ]; void build(int p , int l , int r) {
int mid = (l + r) >> ;
T[p].l = l , T[p].r = r;
if(l == r) {
T[p].sum = val[l];
return ;
}
build(p << , l , mid);
build((p << )| , mid + , r);
T[p].sum = T[p << ].sum + T[(p << )|].sum;
} void updata(int p , int pos , LL num) {
int mid = (T[p].l + T[p].r) >> ;
if(T[p].l == T[p].r && T[p].l == pos) {
T[p].sum = num;
return ;
}
if(pos <= mid) {
updata(p << , pos , num);
}
else {
updata((p << )| , pos , num);
}
T[p].sum = T[p << ].sum + T[(p << )|].sum;
} LL query(int p , int l , int r) {
int mid = (T[p].l + T[p].r) >> ;
if(T[p].l == l && T[p].r == r) {
return T[p].sum;
}
if(r <= mid) {
return query(p << , l , r);
}
else if(l > mid) {
return query((p << )| , l , r);
}
else {
return query(p << , l , mid) + query((p << )| , mid + , r);
}
} LL Find(int u , int v) {
int fu = top[u] , fv = top[v];
LL res = ;
while(fu != fv) {
if(dep[fu] >= dep[fv]) {
res += query( , id[fu] , id[u]);
u = par[fu];
fu = top[u];
}
else {
res += query( , id[fv] , id[v]);
v = par[fv];
fv = top[v];
}
}
if(v == u)
return res;
else if(dep[u] > dep[v])
return res + query( , id[son[v]] , id[u]);
else
return res + query( , id[son[u]] , id[v]);
} int main()
{
int n, m , l , r , c;
while(~scanf("%d %d" , &n , &m)) {
init();
for(int i = ; i < n ; ++i) {
scanf("%d %d %lld" , from + i , to + i , cost + i);
add(from[i] , to[i] , cost[i]);
add(to[i] , from[i] , cost[i]);
}
dfs1( , , );
dfs2( , , );
//build(1 , 1 , cnt);
for(int i = ; i < n ; ++i) {
if(dep[from[i]] < dep[to[i]])
swap(from[i] , to[i]);
val[id[from[i]]] = cost[i];
//updata(1 , id[from[i]] , cost[i]);
}
build( , , cnt);
while(m--) {
scanf("%d %d %d" , &c , &l , &r);
if(c == ) {
updata( , id[from[l]] , (LL)r);
}
else {
printf("%d\n" , Find(l , r));
}
}
}
}