5228: Destroying Roads
内存限制：256 MB
时间限制：2 S
题面：传统
评测方式：文本比较
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题目描述
B. Destroying Roads
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
In some country there are exactly n cities and m bidirectional roads connecting the cities. Cities are numbered with integers from 1 to n. If cities a and b are connected by a road, then in an hour you can go along this road either from city a to city b, or from city b to city a. The road network is such that from any city you can get to any other one by moving along the roads.
You want to destroy the largest possible number of roads in the country so that the remaining roads would allow you to get from city s1 to city t1 in at most l1 hours and get from city s2 to city t2 in at most l2 hours.
Determine what maximum number of roads you need to destroy in order to meet the condition of your plan. If it is impossible to reach the desired result, print -1.
You want to destroy the largest possible number of roads in the country so that the remaining roads would allow you to get from city s1 to city t1 in at most l1 hours and get from city s2 to city t2 in at most l2 hours.
Determine what maximum number of roads you need to destroy in order to meet the condition of your plan. If it is impossible to reach the desired result, print -1.
Input
The first line contains two integers n, m (1≤n≤3000, 
)− the number of cities and roads in the country, respectively. Next m lines contain the desc
The last two lines contains three integers each, s1, t1, l1 and s2, t2, l2, respectively (1≤si,ti≤n, 0≤li≤n).
Output
Print a single number − the answer to the problem. If the it is impossible to meet the conditions, print -1.
Examples
Input
5 4 1 2 2 3 3 4 4 5 1 3 2 3 5 2
Output
0
Input
5 4 1 2 2 3 3 4 4 5 1 3 2 2 4 2
Output
1
Input
5 4 1 2 2 3 3 4 4 5 1 3 2 3 5 1
Output
-1
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输出样例 复制