HDU1385 (Floyd记录路径)
Minimum Transport Cost
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 9052 Accepted Submission(s): 2383
The cost of the transportation on the path between these cities, and
a certain tax which will be charged whenever any cargo passing through one city, except for the source and the destination cities.
You must write a program to find the route which has the minimum cost.
The data of path cost, city tax, source and destination cities are given in the input, which is of the form:
a11 a12 ... a1N
a21 a22 ... a2N
...............
aN1 aN2 ... aNN
b1 b2 ... bN
c d
e f
...
g h
where aij is the transport cost from city i to city j, aij = -1 indicates there is no direct path between city i and city j. bi represents the tax of passing through city i. And the cargo is to be delivered from city c to city d, city e to city f, ..., and g = h = -1. You must output the sequence of cities passed by and the total cost which is of the form:
Path: c-->c1-->......-->ck-->d
Total cost : ......
......
From e to f :
Path: e-->e1-->..........-->ek-->f
Total cost : ......
Note: if there are more minimal paths, output the lexically smallest one. Print a blank line after each test case.
/*
ID: LinKArftc
PROG: 1385.cpp
LANG: C++
*/ #include <map>
#include <set>
#include <cmath>
#include <stack>
#include <queue>
#include <vector>
#include <cstdio>
#include <string>
#include <utility>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
using namespace std;
#define eps 1e-8
#define randin srand((unsigned int)time(NULL))
#define input freopen("input.txt","r",stdin)
#define debug(s) cout << "s = " << s << endl;
#define outstars cout << "*************" << endl;
const double PI = acos(-1.0);
const double e = exp(1.0);
const int inf = 0x3f3f3f3f;
const int INF = 0x7fffffff;
typedef long long ll; const int maxn = ; int mp[maxn][maxn];
int path[maxn][maxn];//path[i][j]记录从i到j的下一个点
int tax[maxn];
int n, s, t; void floyd() {
for (int k = ; k <= n; k ++) {
for (int i = ; i <= n; i ++) {
for (int j = ; j <= n; j ++) {
if (i == k || j == k) continue;
int tmp = mp[i][k] + mp[k][j] + tax[k];
if (mp[i][j] > tmp) {
mp[i][j] = tmp;
path[i][j] = path[i][k];
} else if (mp[i][j] == tmp) {
path[i][j] = min(path[i][j], path[i][k]);
}
}
}
}
} void print_path() {
printf("Path: %d", s);
int cur = s;
while (cur != t) {
cur = path[cur][t];
printf("-->%d", cur);
}
printf("\n");
} int main() {
while (~scanf("%d", &n) && n) {
for (int i = ; i <= n; i ++) {
for (int j = ; j <= n; j ++) {
scanf("%d", &mp[i][j]);
if (mp[i][j] == -) mp[i][j] = inf;//最好用inf替换,用-1的话特判很容易错
else path[i][j] = j;
}
}
for (int i = ; i <= n; i ++) scanf("%d", &tax[i]);
floyd();
while (~scanf("%d %d", &s, &t)) {
if (s == - && t == -) break;
printf("From %d to %d :\n", s, t);
print_path();
printf("Total cost : %d\n\n", mp[s][t]);
}
} return ;
}
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