10206_CanadaTour

2022-5-16 18:16| 发布者: Hocassian| 查看: 74| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-3-89504660114000-Problem List-采集的数据-后羿采集器.html

Pro.ID

10206

Title

Canada Tour

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=10206

AC

9

Submit

23

Ratio

39.13%

时间&空间限制

  • Time Limit: 1000/500 MS (Java/Others)     Memory Limit: 65536/65536 K (Java/Others)
  • 描述

    You have won a contest sponsored by an airline. The prize is a ticket to travel around Canada, beginning in the most western point served by this airline, then traveling only from west to east until you reach the most eastern point served, and then coming back only from east to west until you reach the starting city. No city may be visited more than once, except for the starting city, which must be visited exactly twice (at the beginning and the end of the trip). You are not allowed to use any other airline or any other means of transportation.

    Given a list of cities served by the airline and a list of direct flights between pairs of cities, find an itinerary which visits as many cities as possible and satisfies the above conditions beginning with the first city and visiting the last city on the list and returning to the first city.

    输入

    Line 1:  The number N of cities served by the airline and the number V of direct flights that will be listed. N will be a positive integer not larger than 100. V is any positive integer.

    Lines 2..N+1:  Each line contains a name of a city served by the airline. The names are ordered from west to east in the input file. There are no two cities in the same meridian. The name of each city is a string of, at most, 15 digits and/or characters of the Latin alphabet; there are no spaces in the name of a city.

    Lines N+2..N+2+V-1:  Each line contains two names of cities (taken from the supplied list), separated by a single blank space. This pair is connected by a direct, two-way airline flight.

    输出

    Description

    You have won a contest sponsored by an airline. The prize is a ticket to travel around Canada, beginning in the most western point served by this airline, then traveling only from west to east until you reach the most eastern point served, and then coming back only from east to west until you reach the starting city. No city may be visited more than once, except for the starting city, which must be visited exactly twice (at the beginning and the end of the trip). You are not allowed to use any other airline or any other means of transportation.

    Given a list of cities served by the airline and a list of direct flights between pairs of cities, find an itinerary which visits as many cities as possible and satisfies the above conditions beginning with the first city and visiting the last city on the list and returning to the first city.

    Input

    Line 1:  The number N of cities served by the airline and the number V of direct flights that will be listed. N will be a positive integer not larger than 100. V is any positive integer.

    Lines 2..N+1:  Each line contains a name of a city served by the airline. The names are ordered from west to east in the input file. There are no two cities in the same meridian. The name of each city is a string of, at most, 15 digits and/or characters of the Latin alphabet; there are no spaces in the name of a city.

    Lines N+2..N+2+V-1:  Each line contains two names of cities (taken from the supplied list), separated by a single blank space. This pair is connected by a direct, two-way airline flight.

    Output

    Line 1:  The number M of different cities visited in the optimal itinerary. Output 1 if no itinerary is possible.

    Sample Input

    8 9
    Vancouver
    Yellowknife
    Edmonton
    Calgary
    Winnipeg
    Toronto
    Montreal
    Halifax
    Vancouver Edmonton
    Vancouver Calgary
    Calgary Winnipeg
    Winnipeg Toronto
    Toronto Halifax
    Montreal Halifax
    Edmonton Montreal
    Edmonton Yellowknife
    Edmonton Calgary

    Sample Output

    7

    Hint

    Namely: Vancouver, Edmonton, Montreal, Halifax, Toronto, Winnipeg, Calgary, and Vancouver (but that's not a different city).

    Source

    样例输入

    8 9
    Vancouver
    Yellowknife
    Edmonton
    Calgary
    Winnipeg
    Toronto
    Montreal
    Halifax
    Vancouver Edmonton
    Vancouver Calgary
    Calgary Winnipeg
    Winnipeg Toronto
    Toronto Halifax
    Montreal Halifax
    Edmonton Montreal
    Edmonton Yellowknife
    Edmonton Calgary

    样例输出

    7

    提示

    Namely: Vancouver, Edmonton, Montreal, Halifax, Toronto, Winnipeg, Calgary, and Vancouver (but that's not a different city).


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