SPOJ GRASSPLA Grass Planting
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题目:http://www.spoj.com/problems/GRASSPLA/en/
题意:给定一棵树,树有边权,初始边权都为0。有两种操作:第一种是两点之间的边权均加1,第二种是求两点之间的边权和。
思路:树链剖分啊,线段树区间求和。写成多实例一直莫名RE,改成单实例就过了
#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>using namespace std;typedef long long ll;const int INF = 0x3f3f3f3f;const int N = 100010;struct edge{ int to, next;} g[N*2];struct node{ int l, r; ll sum, mark;} s[N*4];int dep[N], top[N], son[N], siz[N], fat[N], id[N], head[N];int n, m, cnt, num;void add_edge(int v, int u){ g[cnt].to = u; g[cnt].next = head[v]; head[v] = cnt++;}void dfs1(int v, int fa, int d){ dep[v] = d, siz[v] = 1, fat[v] = fa, son[v] = 0; for(int i = head[v]; i != -1; i = g[i].next) { int u = g[i].to; if(u != fa) { dfs1(u, v, d + 1); siz[v] += siz[u]; if(siz[son[v]] < siz[u]) son[v] = u; } }}void dfs2(int v, int tp){ top[v] = tp, id[v] = ++num; if(son[v]) dfs2(son[v], tp); for(int i = head[v]; i != -1; i = g[i].next) { int u = g[i].to; if(u != fat[v] && u != son[v]) dfs2(u, u); }}void push_up(int k){ s[k].sum = s[k<<1].sum + s[k<<1|1].sum;}void push_down(int k){ if(s[k].mark) { s[k<<1].mark += s[k].mark; s[k<<1|1].mark += s[k].mark; s[k<<1].sum += (s[k<<1].r - s[k<<1].l + 1) * s[k].mark; s[k<<1|1].sum += (s[k<<1|1].r - s[k<<1|1].l + 1) * s[k].mark; s[k].mark = 0; }}void build(int l, int r, int k){ s[k].l = l, s[k].r = r, s[k].mark = 0, s[k].sum = 0; if(l == r) return; int mid = (l + r) >> 1; build(l, mid, k << 1); build(mid + 1, r, k << 1|1); push_up(k);}void update(int l, int r, int k){ if(l <= s[k].l && s[k].r <= r) { s[k].sum += s[k].r - s[k].l + 1; s[k].mark += 1; return; } push_down(k); int mid = (s[k].l + s[k].r) >> 1; if(l <= mid) update(l, r, k << 1); if(r > mid) update(l, r, k << 1|1); push_up(k);}void renew(int v, int u){ int t1 = top[v], t2 = top[u]; while(t1 != t2) { if(dep[t1] < dep[t2]) swap(t1, t2), swap(v, u); update(id[t1], id[v], 1); v = fat[t1], t1 = top[v]; } if(v == u) return; if(dep[v] > dep[u]) swap(v, u); update(id[son[v]], id[u], 1);}ll query(int l, int r, int k){ if(l <= s[k].l && s[k].r <= r) return s[k].sum; push_down(k); int mid = (s[k].l + s[k].r) >> 1; ll ans = 0; if(l <= mid) ans += query(l, r, k << 1); if(r > mid) ans += query(l, r, k << 1|1); push_up(k); return ans;}ll seek(int v, int u){ int t1 = top[v], t2 = top[u]; ll ans = 0; while(t1 != t2) { if(dep[t1] < dep[t2]) swap(t1, t2), swap(v, u); ans += query(id[t1], id[v], 1); v = fat[t1], t1 = top[v]; } if(v == u) return ans; if(dep[v] > dep[u]) swap(v, u); return ans + query(id[son[v]], id[u], 1);}void slove(){ char ch; int a, b; while(m--) { scanf(" %c%d%d", &ch, &a, &b); if(ch == 'P') renew(a, b); else printf("%lld\n", seek(a, b)); }}int main(){ int a, b; scanf("%d%d", &n, &m); memset(head, -1, sizeof head); cnt = num = 0; for(int i = 1; i <= n - 1; i++) { scanf("%d%d", &a, &b); add_edge(a, b); add_edge(b, a); } dfs1(1, 0, 1); dfs2(1, 1); build(1, num, 1); slove(); return 0;}
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