Controlling Companies

Some companies are partial owners of other companies because they have acquired part of their total shares of stock. For example, Ford owns 12% of Mazda. It is said that a company A controls company B if at least one of the following conditions is satisfied:

  • Company A = Company B
  • Company A owns more than 50% of Company B
  • Company A controls K (K >= 1) companies denoted C1, ..., CK with each company Ci owning xi% of company B and x1 + .... + xK > 50%.

Given a list of triples (i,j,p) which denote company i owning p% of company j, calculate all the pairs (h,s) in which company h controls company s. There are at most 100 companies.

Write a program to read the list of triples (i,j,p) where i, j and p are positive integers all in the range (1..100) and find all the pairs (h,s) so that company h controls company s.

PROGRAM NAME: concom

INPUT FORMAT

Line 1: n, the number of input triples to follow
Line 2..n+1: Three integers per line as a triple (i,j,p) described above.

SAMPLE INPUT (file concom.in) 

3
1 2 80
2 3 80
3 1 20

OUTPUT FORMAT

List 0 or more companies that control other companies. Each line contains two integers that denote that the company whose number is the first integer controls the company whose number is the second integer. Order the lines in ascending order of the first integer (and ascending order of the second integer to break ties). Do not print that a company controls itself.

SAMPLE OUTPUT (file concom.out)

1 2
1 3
2 3

題意：
給出i公司占有j公司p%的股份，當p>50時，表示i控制了j. （i能直接或間接地控制j）。

代碼如下：


/*
LANG: C
PROG: concom
*/
#include<stdio.h>
int max;
int t[110][110], v[110][110];
void Set()
{
    int i, j;
    for (i = 1; i <= 100; i++)
    {
        for (j = 1; j <= 100; j++)
        {
            t[i][j] = 0;
            v[i][j] = 0;
        }
    }
}
void Add(int x, int y)
{
    int i;
    for (i = 1; i <= max; i++)
    {
        if (x != i && v[x][i] <= 50)//當公司x沒控制i公司時，才需要檢查x是否能控制i。 
        {
            v[x][i] += t[y][i];
            if (v[x][i] > 50)
            {
                Add(x, i);
            }
        }
    }
}
int main()
{
    freopen("concom.in", "r", stdin);
    freopen("concom.out", "w", stdout);
    int i, j, k, p, n;
    scanf("%d", &n);
    Set();
    max = 0;
    for (i = 0; i < n; i++)
    {
        scanf("%d%d%d", &j, &k, &p);
        if (j > max)
        {
            max = j;
        }
        if (k > max)
        {
            max = k;
        }
        if (j != k)//排除輸入不符合題意目的的情況。即排除自己占自己的的公司 
        {
            t[j][k] = p;
            v[j][k] = p;
        }
    }
    for (i = 1; i <= max; i++)
    {
        for (j = 1; j <= max; j++)
        {
            if (t[i][j] > 50)//當i占有j時，更新i占有j的鄰接公司的股份。 
            {
                Add(i, j);
            }
        }
    }
    for (i = 1; i <= max; i++)
    {
        for (j = 1; j <= max; j++)
        {
            if ( v[i][j] > 50)
            {
                printf("%d %d\n", i, j);
            }
        }
    }
    fclose(stdin);
    fclose(stdout);
    //system("pause");
    return 0;
}