MARYBMW - BMW
Mary is very very happy. You would be happy too if your parents give you the latest model BMW for your birthday. She wants to try out her new car and that's why she is going to visit her grandma.
There is a graph with N vertices representing N cities and M edges representing bidirectional roads between some pairs of cities. We can assume that Mary lives in city 1 and her grandma lives in city N. Unfortunately, not everything is so good in life and examples are the speed limits. Mary decided to drive with permanent speed. Each of these M roads has a maximum permissible speed V that Mary can't exceed. Well, her whims don't end here. As a lover of the extreme experiences she wants to drive her expensive car as fast as possible.
You are to write a program to find the maximum speed that Mary can reach her grandma's city without having arguments with the policemen (for their own good).
Note: There may be more than one road between two cities.
Input
The first line of the input contains the number of tests – T (T <= 5). On the first line of each test case there are two integers – N (2 <= N <= 50000) and M (1 <= M <= 100000). On the next M lines there are three integers A, B, and V representing a bidirectional road between cities A and B with speed limit V where 1 <= V <= 10^18 (It's a BMW after all).
Output
On a single line print the maximum possible speed Mary can reach. If she can't reach her grandma's house, print -1.
Example
Input: 1 4 5 1 2 80 3 1 20 2 3 60 4 3 300 2 4 90 Output: 80
hide comments
vl4deee11:
2024-04-09 06:30:49
don't forget -1 if route does not exists |
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codedguy:
2023-01-26 12:00:36
MST + DSU , AC in 3rd shot :) |
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divyashankar:
2022-06-07 01:18:47
mst and then dfs solves the problem |
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ashish_851:
2022-02-03 19:01:02
Getting WA in judge 15..........
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mahbubkuet08:
2021-12-19 10:16:40
Getting WA at judge (15)
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sunny_saraff:
2021-04-27 08:37:53
Nice problem. |
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lokesh_2052:
2021-04-05 12:54:51
Love to solve this problem :)
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garendaxe:
2021-01-03 21:25:21
Does Dijkstra work here? |
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auler_:
2020-05-23 00:03:41
notice, n can be unreachable from 1. |
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amansahu112:
2020-04-16 14:50:42
100th AC .
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Added by: | Extazy |
Date: | 2015-12-28 |
Time limit: | 0.5s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 GOSU JS-MONKEY |