hdu 5044 Tree(树链剖分)
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题目链接:hdu 5044 Tree
题目大意:给定一棵树,两种操作:
- ADD1 u v w:路径uv上的节点值均加上w
- ADD2 u v w:路径uv上的边均加上w
最后分别输出每个节点以及每条边的值。
解题思路:树链剖分,用两个数组分别计算节点和边。
#pragma comment(linker, "/STACK:1024000000,1024000000")#include <cstdio>#include <cstring>#include <algorithm>using namespace std;typedef long long ll;const int maxn = 1e5 + 5;inline void scanf_(int &num) { char in; bool neg=false; while(((in=getchar()) > '9' || in<'0') && in!='-') ; if(in=='-') { neg = true; while((in=getchar()) >'9' || in<'0'); } num=in-'0'; while(in=getchar(),in>='0'&&in<='9') num*=10,num+=in-'0'; if(neg) num=0-num; } ll c[2][maxn];int N, M, E, first[maxn], jump[maxn * 2];int id, idx[maxn], top[maxn], far[maxn], son[maxn], cnt[maxn], dep[maxn];struct Edge { int u, v;}ed[maxn * 2];inline void add_Edge(int u, int v) { ed[E].u = u, ed[E].v = v; jump[E] = first[u]; first[u] = E++;}void dfs (int u, int pre, int d) { dep[u] = d; far[u] = pre; cnt[u] = 1; son[u] = 0; for (int i = first[u]; i + 1; i = jump[i]) { int v = ed[i].v; if (v == pre) continue; dfs(v, u, d + 1); cnt[u] += cnt[v]; if (cnt[son[u]] < cnt[v]) son[u] = v; }}void dfs (int u, int rot) { top[u] = rot; idx[u] = ++id; if (son[u]) dfs(son[u], rot); for (int i = first[u] ; i + 1; i = jump[i]) { int v = ed[i].v; if (v == far[u] || v == son[u]) continue; dfs(v, v); }}void init () { int u, v; E = id = 0; memset(c, 0, sizeof(c)); memset(first, -1, sizeof(first)); //scanf("%d%d", &N, &M); scanf_(N), scanf_(M); for (int i = 1; i < N; i++) { //scanf("%d%d", &u, &v); scanf_(u), scanf_(v); add_Edge(u, v); add_Edge(v, u); } dfs(1, 0, 0); dfs(1, 1);}inline void insert (int k, int l, int r, int w) { c[k][l] += w; c[k][r+1] -= w;}void modify(int k, int u, int v, int w) { int p = top[u], q = top[v]; while (p != q) { if (dep[p] < dep[q]) { swap(p, q); swap(u, v); } insert(k, idx[p], idx[u], w); u = far[p]; p = top[u]; } if (dep[u] > dep[v]) swap(u, v); if (k) { if (u == v) return; insert(k, idx[son[u]], idx[v], w); } else insert(k, idx[u], idx[v], w);}int main () { int cas; scanf_(cas); for (int kcas = 1; kcas <= cas; kcas++) { init(); int u, v, w; char op[10]; while (M--) { scanf("%s", op); scanf_(u), scanf_(v), scanf_(w); //scanf("%s%d%d%d", op, &u, &v, &w); modify(op[3]-'1', u, v, w); } for (int i = 0; i < 2; i++) { ll mv = 0; for (int j = 1; j <= N; j++) { mv += c[i][j]; c[i][j] = mv; } } printf("Case #%d:\n", kcas); for (int i = 1; i <= N; i++) printf("%I64d%c", c[0][idx[i]], i == N ? '\n' : ' '); for (int i = 0; i < N - 1; i++) { int t = i * 2; u = dep[ed[t].u] < dep[ed[t].v] ? ed[t].v : ed[t].u; printf("%I64d%c", c[1][idx[u]], i == N - 2 ? '\n' : ' '); } if (N == 1) printf("\n"); } return 0;}
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