Cow Hurdles
Time limit:1000 ms |
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Memory limit:65536 K |
Total submissions:5214 |
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Accepted:2323 |
Description
Farmer John wants the cows to prepare for the county jumping competition, So Bessie and the gang are practicing jumping over hurdles. they are getting tired, though, so they want to be able to use as little energy as possible to jump over the hurdles.
Obviusly, it is not very difficult for a cow to jump over several very short hurdles, but one tall hurdle can be very stressful. thus, the cows are only concerned about the height of the tallest hurdle they have to jump over.
The cows 'practice room hasN(1 ≤N≤ 300) stations, conveniently labeled 1 ..N. A setM(1 ≤M≤ 25,000) one-way paths connects pairs of stations; the paths are also conveniently labeled 1 ..M. PathITravels
From stationSiTo StationEIAnd contains exactly one hurdle of heightHi(1 ≤Hi≤ 1,000,000). Cows must jump hurdles in any path they traverse.
The cows haveT(1 ≤T≤ 40,000) tasks to complete. TaskIComprises two distinct numbers,AIAndBi(1 ≤AI≤N; 1 ≤Bi≤N), Which
Connote that a cow has to travel from StationAITo StationBi(By traversing over one or more paths over some route). The cows want to take a path the minimizes the height of the tallest hurdle they jump over when traveling
FromAIToBi. Your job is to write a program that determines the path whose tallest hurdle is smallest and report that height.
Input
* Line 1: three space-separated integers:N,M, AndT
* Lines 2 ..M+ 1: LineI+ 1 contains three space-separated integers:Si,EI, AndHi
* LinesM+ 2 ..M+T+ 1: LineI+M+ 1 contains two space-separated integers that describe task I:AIAndBi
Output
* Lines 1 ..T: LineIContains the result for taskIAnd tells the smallest possible maximum height necessary to travel between the stations. Output-1 if it is impossible to travel between the two stations.
Sample Input
5 6 31 2 123 2 81 3 52 5 33 4 42 4 83 41 25 1
Sample output
48-1
Source
Usaco 2007 November silver. . Find the minimum maximum height that a cow must jump
# Include <iostream> # include <stdio. h> using namespace STD; int INF = 100000000; int dis [350] [350]; int N; void Floyd () {int K, I, j; int T; for (k = 1; k <= N; k ++) for (I = 1; I <= N; I ++) for (j = 1; j <= N; j ++) {T = dis [I] [k]> dis [k] [J]? Dis [I] [k]: DIS [k] [J]; // jump from I to K, then jump from K to a higher height of J. If (T <dis [I] [J]) // if conditions are met, update dis [I] [J] = T ;}} int main () {int M, T, I, J, S, E, H; scanf ("% d", & N, & M, & T); for (I = 1; I <= N; I ++) for (j = 1; j <= N; j ++) {dis [I] [J] = dis [J] [I] = inf ;}for (I = 0; I <m; I ++) {scanf ("% d", & S, & E, & H); DIS [s] [e] = H;} Floyd (); while (t --) {scanf ("% d", & S, & E); printf ("% d \ n", DIS [s] [e]! = Inf? Dis [s] [e]:-1);} return 0 ;}