ACM_JLINE.

树链剖分专题

字数统计: 767阅读时长: 4 min
2019/10/25 Share

HDU-3966

树链剖分(点权)

题目:

略略略

解题思路:

树链剖分裸题

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#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <vector>
#define ll long long
using namespace std;
const int N = 5e5 + 5;
int size[N], fa[N], deep[N], son[N];
int top[N], dfn[N], rdfn[N];
int cnt, a[N];
char ch[5];
int n, m, q;
vector <int> V[N];

void dfs1(int u, int pre){
son[u] = 0;
size[u] = 1;
fa[u] = pre;
deep[u] = deep[pre] + 1;
for(int i = 0; i < V[u].size(); i++){
int v = V[u][i];
if(v == pre) continue;
dfs1(v, u);
size[u] += size[v];
if(size[v] > size[son[u]]){
son[u] = v;
}
}
}

void dfs2(int u, int t){
top[u] = t;
dfn[u] = ++cnt;
rdfn[cnt] = u;
if(son[u]) dfs2(son[u], t);

for(int i = 0; i < V[u].size(); i++){
int v = V[u][i];
if(v != son[u] && v != fa[u]){
dfs2(v, v);
}
}
}

struct node{
int l, r;
ll sum, add;
}tree[N * 4];

void pushup(int x){
tree[x].sum = tree[x * 2].sum + tree[x * 2 + 1].sum ;
}

void pushdown(int x){
if(tree[x].add){
tree[x * 2].sum += tree[x].add * (tree[x * 2].r - tree[x * 2].l + 1);
tree[x * 2 + 1].sum += tree[x].add * (tree[x * 2 + 1].r - tree[x * 2 + 1].l + 1);
tree[x * 2].add += tree[x].add;
tree[x * 2 + 1].add += tree[x].add;
tree[x].add = 0;
}
}

void build(int x, int l, int r){
tree[x].l = l, tree[x].r = r, tree[x].add = 0;
if(l == r) {
tree[x].sum = a[rdfn[l]];
return;
}
int mid = (l + r) / 2;
build(x * 2, l, mid);
build(x * 2 + 1, mid + 1, r);
pushup(x);
}

void add(int x, int l, int r, int c){
if(l <= tree[x].l && r >= tree[x].r){
tree[x].sum += c * (tree[x].r - tree[x].l + 1);
tree[x].add += c;
return;
}
pushdown(x);

int mid = (tree[x].l + tree[x].r) / 2;
if(l <= mid) add(x * 2, l, r, c);
if(r > mid) add(x * 2 + 1, l, r, c);
pushup(x);
}

ll ask(int x, int l, int r){
if(l <= tree[x].l && r >= tree[x].r) return tree[x].sum;
pushdown(x);
int mid = (tree[x].l + tree[x].r) / 2;
ll v = 0;
if(l <= mid) v += ask(x * 2, l, r);
if(r > mid) v += ask(x * 2 + 1, l, r);
return v;
}


void change(int x, int y, int c){
while(top[x] != top[y]){
if(deep[top[x]] < deep[top[y]]){
swap(x, y);
}
add(1, dfn[top[x]], dfn[x], c);
x = fa[top[x]];

}
if(deep[x] > deep[y]) swap(x, y);
add(1, dfn[x], dfn[y], c);
}

ll queryAns(int x, int y){
ll ans = 0;
while(top[x] != top[y]){
if(deep[top[x]] < deep[top[y]]){
swap(x, y);
}
ans += ask(1, dfn[top[x]], dfn[x]);
x = fa[top[x]];
}

if(deep[x] > deep[y]) swap(x, y);
ans += ask(1, dfn[x], dfn[y]);
return ans;
}

int main(){
while(~scanf("%d%d%d", &n, &m, &q)){
cnt = 0;

for(int i = 1; i <= n; i++) scanf("%d", &a[i]);
for(int i = 0; i <= n; i++) V[i].clear();
while(m--){
int x, y;
scanf("%d%d", &x, &y);
V[x].push_back(y), V[y].push_back(x);
}

dfs1(1, 0); dfs2(1, 1);
build(1, 1, n);


while(q--){
scanf("%s", ch);
if(ch[0] == 'I') {
int l, r, c;
scanf("%d%d%d", &l, &r, &c);
change(l, r, c);
}
else if(ch[0] == 'D') {
int l, r, c;
scanf("%d%d%d", &l, &r, &c);
change(l, r, -c);
}
else{
int x;
scanf("%d", &x);
printf("%lld\n", queryAns(x, x));
}
}
}
return 0;
}
CATALOG
  1. 1. HDU-3966
    1. 1.1. 树链剖分(点权)