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C++ implementation of tarjan's algorithm for finding Strongly connected components
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typedef vector<int> vi; | |
typedef vector<vi> vvi; | |
#define pb push_back | |
#define MAX 100005 | |
// C++ implementation of tarjan's algorithm for SCC | |
// foundat: analogous to time at which the vertex was discovered | |
// disc: will contain the foundat value of ith vertex(as in input graph) | |
// low: will contain the lowest vertex(foundat value) reachable from ith vertex(as in input graph) | |
// onstack: whether the vertex is on the stack st or not | |
// scc: will contain vectors of strongly connected vertices | |
// which can be iterated using | |
// for(auto i:scc){ // here i is a set of strongly connected component | |
// for(auto j:i){ | |
// // iterate over the vertices in i | |
// } | |
// } | |
int n,m,foundat=1; | |
vvi graph,scc; | |
vi disc,low; // init disc to -1 | |
bool onstack[MAX]; //init to 0 | |
void tarjan(int u){ | |
static stack<int> st; | |
disc[u]=low[u]=foundat++; | |
st.push(u); | |
onstack[u]=true; | |
for(auto i:graph[u]){ | |
if(disc[i]==-1){ | |
tarjan(i); | |
low[u]=min(low[u],low[i]); | |
} | |
else if(onstack[i]) | |
low[u]=min(low[u],disc[i]); | |
} | |
if(disc[u]==low[u]){ | |
vi scctem; | |
while(1){ | |
int v=st.top(); | |
st.pop();onstack[v]=false; | |
scctem.pb(v); | |
if(u==v) | |
break; | |
} | |
scc.pb(scctem); | |
} | |
} | |
int main() | |
{ | |
// n= vertices of graph | |
// init | |
set0(onstack); | |
graph.clear();graph.resize(n+1); | |
disc.clear();disc.resize(n+1,-1); | |
low.clear();low.resize(n+1); | |
// | |
// input graph here | |
FOR(i,n) | |
if(disc[i+1]==-1) | |
tarjan(i+1); | |
} |
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