POJ - 2763 动态lca加dfs序树状数组
一开始用树链剖分做的,后来看题解有一个稍微代码量少一点而且不用一错误的方法,lca加上树状数组。
对一条边变成w等于把深的点包括自己和子树全部加上w,即在dfs中l,r区间更新即可。
第一次写了st表求lca,有点不顺手,记录一下模板。
#include<iostream>
#include<cstring>
#include<algorithm>
#include<cmath>
#include<cstdlib>
#include<climits>
#include<stack>
#include<vector>
#include<queue>
#include<set>
#include<bitset>
#include<map>
//#include<regex>
#include<cstdio>
#define up(i,a,b) for(int i=a;i<b;i++)
#define dw(i,a,b) for(int i=a;i>b;i--)
#define upd(i,a,b) for(int i=a;i<=b;i++)
#define dwd(i,a,b) for(int i=a;i>=b;i--)
//#define local
typedef long long ll;
const double esp = 1e-6;
const double pi = acos(-1.0);
const int INF = 0x3f3f3f3f;
const int inf = 1e9;
using namespace std;
ll read()
{
char ch = getchar(); ll x = 0, f = 1;
while (ch<'0' || ch>'9') { if (ch == '-')f = -1; ch = getchar(); }
while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); }
return x * f;
}
typedef pair<int, int> pir;
#define lson l,mid,root<<1
#define rson mid+1,r,root<<1|1
#define lrt root<<1
#define rrt root<<1|1
const int N = 1e5 + 10;
struct node { int to, next, wi; }edge[N<<2];
int head[N];
int n, q, s;
int cnt;
int rk[N], r[N], l[N],dis[N];
int ver[2 * N], fi[2 * N], dep[2 * N];
ll sum[N << 1];
int cnt1, cnt2;
int dp[N<<1][30];
int lowbit(int i)
{
return i & (-i);
}
void addedge(int u, int v, int w)
{
edge[cnt].to = v;
edge[cnt].wi = w;
edge[cnt].next = head[u];
head[u] = cnt++;
}
void dfs(int u, int f,int d)
{
ver[++cnt1] = u; dep[cnt1] = d; fi[u] = cnt1;
l[u] = ++cnt2;
for (int i = head[u]; ~i; i = edge[i].next)
{
int v = edge[i].to;
if (v == f)continue;
dfs(v, u, d + 1);
dis[v] = edge[i].wi;
ver[++cnt1] = u; dep[cnt1] = d;
}
r[u] = cnt2;
}
void stinit()
{
upd(i, 0, 2 * n)dp[i][0] = i;
for (int j = 1; j <= 30; j++)
{
for (int i = 1; i + (1 << j)-1 <= 2 * n; i++)
{
int t1 = dp[i][j - 1]; int t2 = dp[i + (1 << (j - 1))][j - 1];
dp[i][j] = dep[t1] < dep[t2] ? t1 : t2;
}
}
}
int stquerry(int x, int y)
{
if (x > y)swap(x, y);
int k = int(log2(y - x + 1));
int t1 = dp[x][k]; int t2 = dp[y - (1 << k) + 1][k];
return dep[t1] < dep[t2] ? ver[t1] : ver[t2];
}
void add(int pos, ll val)
{
while (pos <= n)
{
sum[pos] += val;
pos += lowbit(pos);
}
}
ll querry(int x)
{
ll ans = 0;
while (x)
{
ans += sum[x];
x -= lowbit(x);
}
return ans;
}
vector<node>vec;
int main()
{
n = read(); q = read(); s = read();
memset(head, -1, sizeof(head));
int u, v, w;
upd(i, 1, n - 1)
{
u = read(), v = read(); w = read();
addedge(u, v, w);
addedge(v, u, w);
vec.push_back(node{ u,v,w });
}
dfs(1, 0, 1);
stinit();
upd(i, 1, n)
{
add(l[i], dis[i]);
add(r[i] + 1, -dis[i]);
}
int op=0;
while (q--)
{
scanf("%d", &op);
if (op == 0)
{
u = read();
printf("%lld\n", querry(l[u]) + querry(l[s]) - 2ll * querry(l[stquerry(fi[u], fi[s])]));
s = u;
}
else
{
u = read(); w = read();
u--;
int t1 = vec[u].next; int t2 = vec[u].to;
if (dep[fi[t1]] < dep[fi[t2]])
{
swap(t1, t2);
}
add(l[t1], -vec[u].wi);
add(r[t1] + 1, +vec[u].wi);
add(l[t1], w);
add(r[t1] + 1, -w);
vec[u].wi = w;
}
}
return 0;
}
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