Tired of the cold winter weather on her farm, Bessie the cow plans to fly to a warmer destination for vacation. Unfortunately, she discovers that only one airline, Air Bovinia, is willing to sell tickets to cows, and that these tickets are somewhat complicated in structure.
Air Bovinia owns planes, each of which flies on a specific "route" consisting of two or more cities. For example, one plane might fly on a route that starts at city 1, then flies to city 5, then flies to city 2, and then finally flies to city 8. No city appears multiple times in a route. If Bessie chooses to utilize a route, she can board at any city along the route and then disembark at any city later along the route. She does not need to board at the first city or disembark at the last city. Each route has a certain cost, which Bessie must pay if she uses any part of the route, irrespective of the number of cities she visits along the route. If Bessie uses a route multiple times during her travel (that is, if she leaves the route and later comes back to use it from antoher city), she must pay for it each time it is used. Bessie would like to find the cheapest way to travel from her farm (in city ) to her tropical destination (city ). Please help her decide what is the minimum cost she must pay, and also the smallest number of individual flights she must use take to achieve this minimum cost.
The first line of input contains , , and , separated by spaces. The next lines describe the available routes, in two lines per route. The first line contains the cost of using the route , and the number of cities along the route . The second line contains a list of the cities in order along the route. Note that the cost of an itinerary can easily add up to more than can fit into a 32-bit integer, so you should probably use 64-bit integers (e.g., "long long" integers in C/C++).
第一行三个正整数 ,表示出发点,终点和航班的数量。
接下来的 行,每组两行。
第一行为航班的花费 ,航班的航线包含的城市数 。
第二行为该航班从起点到终点所有城市的序号 。
由于航班花费很贵,你应当使用 位的整数。
输出格式
Output the minimum cost of an itinerary that Bessie can use to travel from city to city , as well as the minimum number of individual flights required to achieve this minimum cost.
If there is no solution, output -1 -1 (quotes for clarity) on a single line.