summaryrefslogtreecommitdiff
path: root/Sources/GraphAlgo.cpp
blob: 3da7c8d3eb0feac106581215000376a61fd9b3d3 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
//#include <gtest/gtest.h>

#include <iostream>
#include <vector>
#include <algorithm>


#include <iostream>
#include <algorithm>
#include <vector>
#include <numeric>

using std::vector;
using std::pair;
using namespace std;

// https://stackoverflow.com/questions/1577475/c-sorting-and-keeping-track-of-indexes
template <typename T>
vector<size_t> sort_indexes(const vector<T>& v) {

    // initialize original index locations
    vector<size_t> idx(v.size());
    iota(idx.begin(), idx.end(), 0);

    // sort indexes based on comparing values in v
    // using std::stable_sort instead of std::sort
    // to avoid unnecessary index re-orderings
    // when v contains elements of equal values
    stable_sort(idx.begin(), idx.end(),
        [&v](size_t i1, size_t i2) {return v[i1] > v[i2]; });

    return idx;
}

void postVisit(int v, vector<int>& clock, vector<int>& postV) {
    postV[v] = clock[0];
    clock[0] = clock[0] + 1;
}
void explore(int v, vector<vector<int>> &adj, vector<bool>& visited, vector<int>& postV, vector<int>& clock) {
    visited[v] = true;
    for (int w : adj[v]) {
        if (!visited[w])
            explore(w, adj, visited, postV, clock);
    }
    postVisit(v, clock, postV);
}

void dfs(vector<vector<int> >& adj, vector<bool>& visited, vector<int>& postV, vector<int>& clock) {
    for (size_t v = 0; v < adj.size(); v++) {
        if (!visited[v])
            explore(v, adj, visited, postV, clock);
    }
}

vector<int> toposort(vector<vector<int> > adj) {
    vector<bool> visited(adj.size(), false);
    vector<int> order;
    vector<int> postV(adj.size(), 0);
    vector<int> clock(1, 0);

    dfs(adj, visited, postV, clock);
    for (auto i : sort_indexes(postV)) {
        order.push_back(i);
    }
    return order;
}

int main() {
    size_t n, m;
    std::cin >> n >> m;
    vector<vector<int> > adj(n, vector<int>());
    for (size_t i = 0; i < m; i++) {
        int x, y;
        std::cin >> x >> y;
        adj[x - 1].push_back(y - 1);
    }
    vector<int> order = toposort(adj);
    for (size_t i = 0; i < order.size(); i++) {
        std::cout << order[i] + 1 << " ";
    }
}

//TEST(Acyclicity, ac1) {
//	vector<vector<int>> adj = { { 1 }, { 2 }, { 0 }, { 0 } };
//	ASSERT_EQ(acyclic(adj), 1);
//}