「2017 山东一轮集训 Day5」距离
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「2017 山东一轮集训 Day5」距离
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/*
寫完開店再寫這個題目頓時神清氣爽, 腰也不疼了, 眼也不花了首先考慮將詢問拆開, 就是查詢一些到根的鏈和點k的關(guān)系根據(jù)我們開店的結(jié)論, 一個點集到一個定點的距離和可以分三部分算
那么就很簡單了吧QAQ, 在樹上可持久化弄一下 */#include<cstdio>
#include<algorithm>
#include<cstring>
#include<queue>
#include<iostream>
#define ll long long
#define mmp make_pair
#define M 200010
using namespace std;
int read()
{int nm = 0, f = 1;char c = getchar();for(; !isdigit(c); c = getchar()) if(c == '-') f = -1;for(; isdigit(c); c = getchar()) nm = nm * 10 + c - '0';return nm * f;
}int type, n, q, sz[M], son[M], fa[M], top[M], dfn[M], ver[M], dft, cnt, p[M], deep[M];
ll dis[M], sum[M], w[M], ans;
vector<pair<int,int> > to[M];
int lc[20000100], rc[20000100], v[20000100], rt[M];
ll t[20000100];void dfs(int now, int f)
{deep[now] = deep[f] + 1;sz[now] = 1;fa[now] = f;for(int i = 0; i < to[now].size(); i++){int vj = to[now][i].first, v = to[now][i].second;if(vj == f) continue;dis[vj] = dis[now] + v;ver[vj] = v;
// deep[vj] = deep[now] + 1;dfs(vj, now);if(sz[vj] > sz[son[now]]) son[now] = vj;sz[now] += sz[vj];}
}void dfs(int now)
{dfn[now] = ++cnt;w[cnt] = ver[now];if(son[now]){top[son[now]] = top[now];dfs(son[now]);}for(int i = 0; i < to[now].size(); i++){int vj = to[now][i].first;if(vj == fa[now] || vj == son[now]) continue;top[vj] = vj;dfs(vj);}
}void modify(int last, int &now, int l, int r, int ln, int rn)
{now = ++cnt;lc[now] = lc[last], rc[now] = rc[last], t[now] = t[last], v[now] = v[last];if(l == ln && r == rn){v[now]++;return;}t[now] += w[rn] - w[ln - 1];int mid = (l + r) >> 1;if(ln > mid) modify(rc[last], rc[now], mid + 1, r, ln, rn);else if(rn <= mid) modify(lc[last], lc[now], l, mid, ln, rn);else modify(lc[last], lc[now], l, mid, ln, mid), modify(rc[last], rc[now], mid + 1, r, mid + 1, rn);
}ll query(int now, int l, int r, int ln, int rn)
{ll ans = 1ll * (w[rn] - w[ln - 1]) * v[now];if(l == ln && r <= rn) return ans + t[now];int mid = (l + r) >> 1;if(rn <= mid) return ans + query(lc[now], l, mid, ln, rn);else if(ln > mid) return ans + query(rc[now], mid + 1, r, ln, rn);else return ans + query(lc[now], l, mid, ln, mid) + query(rc[now], mid + 1, r, mid + 1, rn);
}void Modify(int &now, int x)
{for(; top[x] != 1; x = fa[top[x]]) modify(now, now, 1, n, dfn[top[x]], dfn[x]);modify(now, now, 1, n, dfn[1], dfn[x]);
}void work(int now)
{rt[now] = rt[fa[now]];Modify(rt[now], p[now]);sum[now] = dis[p[now]] + sum[fa[now]];for(int i = 0; i < to[now].size(); i ++){int vj = to[now][i].first;if(vj == fa[now]) continue;work(vj);}
}ll Query(int x, int k)
{if(k == 0) return 0;
// cout << k << " ";ll ans = sum[x];ans += dis[k] * deep[x];for(; top[k] != 1; k = fa[top[k]]) ans -= 2ll * query(rt[x], 1, n, dfn[top[k]], dfn[k]);ans -= 2ll *query(rt[x], 1, n, dfn[1], dfn[k]);
// cout << x << " " << ans << "!!!!!!!\n";return ans;
}int LCA(int a, int b)
{while(top[a] != top[b]){if(deep[top[a]] < deep[top[b]]) swap(a, b);a = fa[top[a]];}if(deep[a] > deep[b]) swap(a, b);return a;
}int main()
{type = read(); n = read(), q = read();for(int i = 1; i < n; i++){int vi = read(), vj = read(), v = read();to[vi].push_back(mmp(vj, v));to[vj].push_back(mmp(vi, v));}for(int i = 1; i <= n; i++) p[i] = read();dfs(1, 0);top[1] = 1;dfs(1);for(int i = 1; i <= n; i++) w[i] += w[i - 1];work(1);while(q--){ll vi = read() ^ ans, vj = read() ^ ans, k = read() ^ ans;int l = LCA(vi, vj);ans = Query(vi, k) + Query(vj, k) - Query(l, k) - Query(fa[l], k);cout << ans << "\n";ans *= type;}return 0;
}
轉(zhuǎn)載于:https://www.cnblogs.com/luoyibujue/p/10620465.html
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