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1711 - Distinct Routes.cpp
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1711 - Distinct Routes.cpp
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/*
Problem Name: Distinct Routes
Problem Link: https://cses.fi/problemset/task/1711
Author: Sachin Srivastava (mrsac7)
*/
#include<bits/stdc++.h>
using namespace std;
template<typename... T>
void see(T&... args) { ((cin >> args), ...);}
template<typename... T>
void put(T&&... args) { ((cout << args << " "), ...);}
template<typename... T>
void putl(T&&... args) { ((cout << args << " "), ...); cout<<'\n';}
#define error(args...) { string _s = #args; replace(_s.begin(), _s.end(), ',', ' '); stringstream _ss(_s); istream_iterator<string> _it(_ss); err(_it, args); }
void err(istream_iterator<string> it) {}
template<typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) {cerr << *it << "=" << a << ", "; err(++it, args...);}
#define int long long
#define pb push_back
#define F first
#define S second
#define ll long long
#define ull unsigned long long
#define ld long double
#define pii pair<int,int>
#define tiii tuple<int,int,int,int>
#define vi vector<int>
#define vii vector<pii>
#define vc vector
#define L cout<<'\n';
#define E cerr<<'\n';
#define all(x) x.begin(),x.end()
#define rep(i,a,b) for (int i=a; i<b; ++i)
#define rev(i,a,b) for (int i=a; i>b; --i)
#define IOS ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define setpr(x) cout<<setprecision(x)<<fixed
#define sz size()
#define seea(a,x,y) for(int i=x;i<y;i++){cin>>a[i];}
#define seev(v,n) for(int i=0;i<n;i++){int x; cin>>x; v.push_back(x);}
#define sees(s,n) for(int i=0;i<n;i++){int x; cin>>x; s.insert(x);}
const ll inf = 1LL<<62;
const ld ep = 0.0000001;
const ld pi = acos(-1.0);
const ll md = 1000000007;
vc<tiii> adj[505];
int vis[505];
int n;
int dfs(int s, int f){
if (s==n) return f;
vis[s] = 1;
for (auto &[i,w,j,m]: adj[s]){
if (w>0 && !vis[i]){
int b = dfs(i,1);
if (b>0){
w-=b;
get<1>(adj[i][j])+=b;
return b;
}
}
}
return 0;
}
void solve(){
int m; see(n,m);
while(m--){
int x,y; see(x,y);
int j1 = adj[y].sz;
int j2 = adj[x].sz;
adj[x].pb({y,1,j1,m+1});
adj[y].pb({x,0,j2,-m-1});
}
int ans=0;
while(1){
memset(vis,0,sizeof vis);
int f = dfs(1,1);
ans += f;
if (!f) break;
}
putl(ans);
bool vis[1005]={0};
rep(i,0,ans){
vi v={1};
int x = 1;
while(x!=n){
for (auto [i,w,j,m]: adj[x]){
if (w==0 && m>0 && !vis[m]){
v.pb(i); x = i; vis[m]=1;
break;
}
}
}
putl(v.sz);
for (auto i: v) put(i);L;
}
}
signed main(){
IOS;
#ifdef LOCAL
freopen("input.txt", "r" , stdin);
freopen("output.txt", "w", stdout);
#endif
int t=1;
//cin>>t;
while(t--){
solve();
//cout<<'\n';
}
#ifdef LOCAL
clock_t tStart = clock();
cerr<<fixed<<setprecision(10)<<"\nTime Taken: "<<(double)(clock()- tStart)/CLOCKS_PER_SEC<<endl;
#endif
}