Pagini recente » Cod sursa (job #103962) | Cod sursa (job #1706326) | Cod sursa (job #811333) | Cod sursa (job #2409710) | Cod sursa (job #2923646)
/*
royfloyd
shortest path in a weighted, directed graph from x to y using n nodes
subproblem: -||- using k nodes
base case dist[u][v] = weight(u,v) (direct link)
dist[u][u] = 0
otherwise dist[u][?] = INF
recursive formula =
ans(i,j,k) = min(ans(i, j, k-1), ans(i, k, k - 1) + ans(k, j, k - 1))
*/
#include <fstream>
#include <iostream>
#include <vector>
using namespace std;
ifstream fin("royfloyd.in");
ofstream fout("royfloyd.out");
using ll = long long;
#define mod 1000000007
#define INF 0x3f3f3f3f
const int maxn = 101;
int n;
int mat[maxn][maxn];
void solve();
void read();
void royfloyd();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
ll test=1;
//cin>>test;
while(test--)
{
solve();
}
return 0;
}
void royfloyd() {
for (int k = 1; k <= n; ++k) {
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= n; ++j) {
if (i != j && j != k && k != i &&
mat[i][j] > mat[i][k] + mat[k][j])
mat[i][j] = mat[i][k] + mat[k][j];
}
}
}
}
void solve() {
read();
royfloyd();
for (int i = 1; i <= n; ++i, fout << '\n') {
for (int j = 1; j <= n; ++j) {
if (mat[i][j] == INF) fout << "0 ";
else fout << mat[i][j] << ' ';
}
}
}
void read() {
fin >> n;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= n; ++j) {
fin >> mat[i][j];
if (mat[i][j] == 0) mat[i][j] = INF;
}
}
}