CF 505B Mr. Kitayuta's Colorful Graph(最短路)
2015-01-19 09:06
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题意 求两点之间有多少不同颜色的路径
范围比较小 可以直接floyd
B. Mr. Kitayuta's Colorful Graph
Mr. Kitayuta has just bought an undirected graph consisting of n vertices and m edges. The vertices
of the graph are numbered from 1 to n. Each edge, namely edge i, has a color ci,
connecting vertex ai and bi.
Mr. Kitayuta wants you to process the following q queries.
In the i-th query, he gives you two integers — ui and vi.
Find the number of the colors that satisfy the following condition: the edges of that color connect vertex ui and
vertex vi directly or indirectly.
Input
The first line of the input contains space-separated two integers — n and m (2 ≤ n ≤ 100, 1 ≤ m ≤ 100),
denoting the number of the vertices and the number of the edges, respectively.
The next m lines contain space-separated three integers — ai, bi (1 ≤ ai < bi ≤ n)
and ci (1 ≤ ci ≤ m).
Note that there can be multiple edges between two vertices. However, there are no multiple edges of the same color between two vertices, that is, if i ≠ j, (ai, bi, ci) ≠ (aj, bj, cj).
The next line contains a integer — q (1 ≤ q ≤ 100), denoting the number of the queries.
Then follows q lines, containing space-separated two integers — ui and vi (1 ≤ ui, vi ≤ n).
It is guaranteed that ui ≠ vi.
Output
For each query, print the answer in a separate line.
Sample test(s)
input
output
input
output
范围比较小 可以直接floyd
#include<cstdio> #include<cstring> using namespace std; const int N = 105; int d , ans; int main() { int a, b, c, n, m, q; while(~scanf("%d%d", &n, &m)) { memset(d, 0, sizeof(d)); for(int i=1;i<=m;++i) { scanf("%d%d%d", &a, &b, &c); d[c][a][b] = d[c][b][a] = 1; } for(c = 1; c <= m; ++c) for(int k = 1; k <= n; ++k) for(int i = 1; i <= n; ++i) for(int j = 1; j <= n; ++j) if(!d[c][i][j]) d[c][i][j] = d[c][j][i] = (d[c][i][k] && d[c][k][j]); scanf("%d", &q); while(q--) { ans = 0; scanf("%d%d", &a, &b); for(int c = 1; c <= m; ++c) if(d[c][a][b]) ++ans; printf("%d\n", ans); } } return 0; }
B. Mr. Kitayuta's Colorful Graph
Mr. Kitayuta has just bought an undirected graph consisting of n vertices and m edges. The vertices
of the graph are numbered from 1 to n. Each edge, namely edge i, has a color ci,
connecting vertex ai and bi.
Mr. Kitayuta wants you to process the following q queries.
In the i-th query, he gives you two integers — ui and vi.
Find the number of the colors that satisfy the following condition: the edges of that color connect vertex ui and
vertex vi directly or indirectly.
Input
The first line of the input contains space-separated two integers — n and m (2 ≤ n ≤ 100, 1 ≤ m ≤ 100),
denoting the number of the vertices and the number of the edges, respectively.
The next m lines contain space-separated three integers — ai, bi (1 ≤ ai < bi ≤ n)
and ci (1 ≤ ci ≤ m).
Note that there can be multiple edges between two vertices. However, there are no multiple edges of the same color between two vertices, that is, if i ≠ j, (ai, bi, ci) ≠ (aj, bj, cj).
The next line contains a integer — q (1 ≤ q ≤ 100), denoting the number of the queries.
Then follows q lines, containing space-separated two integers — ui and vi (1 ≤ ui, vi ≤ n).
It is guaranteed that ui ≠ vi.
Output
For each query, print the answer in a separate line.
Sample test(s)
input
4 5 1 2 1 1 2 2 2 3 1 2 3 3 2 4 3 3 1 2 3 4 1 4
output
2 1 0
input
5 7 1 5 1 2 5 1 3 5 1 4 5 1 1 2 2 2 3 2 3 4 2 5 1 5 5 1 2 5 1 5 1 4
output
1 1 1 1 2
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