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(DS 《算法競賽入門經典》)LA 3027 Corporative Network(查詢某一個節點到根節點之間的距離)

來源：程序員人生發布時間：2015-01-06 08:09:33 閱讀次數：3447次

題目大意：

查詢某1個節點到根節點之間的距離

解題思路：

加權并查集問題。之前做的題目是“查看兩個或多個節點是不是在同1個集合下”，現在的題目是“查詢某個節點到

根節點之間的距離”。之前只需要使用到father[x]這個數組，用來表示x的父親節點是誰。現在引入dist[x]數組，用來記錄

x節點到根節點的距離

1）在并查集中，根節點不懂，其他節點都可以動。

A very big corporation is developing its corporative network. In the beginning each of the N enterprises of the corporation, numerated from 1 to N, organized its own computing and telecommunication center. Soon, for amelioration of the services, the corporation started to collect some enterprises in clusters, each of them served by a single computing and telecommunication center as follow. The corporation chose one of the existing centers I (serving the cluster A) and one of the enterprises J in some cluster B (not necessarily the center) and link them with telecommunication line. The length of the line between the enterprises I and J is |I ? J|(mod 1000). In such a way the two old clusters are joined in a new cluster, served by the center of the old cluster B. Unfortunately after each join the sum of the lengths of the lines linking an enterprise to its serving center could be changed and the end users would like to know what is the new length. Write a program to keep trace of the changes in the organization of the network that is able in each moment to answer the questions of the users.

Input

Your program has to be ready to solve more than one test case. The first line of the input file will contains only the number T of the test cases. Each test will start with the number N of enterprises (5≤N≤20000). Then some number of lines (no more than 200000) will follow with one of the commands:

E I ? asking the length of the path from the enterprise I to its serving center in the moment;
I I J ? informing that the serving center I is linked to the enterprise J.

The test case finishes with a line containing the word O. The I commands are less than N.

Output

The output should contain as many lines as the number of E commands in all test cases with a single number each ? the asked sum of length of lines connecting the corresponding enterprise with its serving center.

Sample Input

1
4
E 3
I 3 1
E 3
I 1 2
E 3
I 2 4
E 3
O

Sample Output

代碼以下：

/* * LA3027.cpp * * Created on: 2015年1月3日 * Author: Administrator */ #include <iostream> #include <cstdio> #include <algorithm> using namespace std; const int maxn = 20005; int father[maxn]; int dist[maxn]; int find(int x) { if (x != father[x]) { int fx = find(father[x]); dist[x] += dist[father[x]]; father[x] = fx; } return father[x]; } int main() { int t; scanf("%d", &t); while (t--) { char cmd[9]; int n; scanf("%d", &n); int i; for (i = 1; i <= n; ++i) { father[i] = i; dist[i] = 0; } while (scanf("%s", cmd) == 1, cmd[0] != 'O') { if (cmd[0] == 'I') { int u, v; scanf("%d%d", &u, &v); father[u] = v; dist[u] = abs(u - v) % 1000; } else if (cmd[0] == 'E') { int u; scanf("%d", &u); find(u); printf("%d ", dist[u]); } } } return 0; }

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