docker_space/frontier_cs_7/test_dummy.cpp

#include <bits/stdc++.h>
using namespace std;
int main() {
    // For [5,7], try a solution with 3 nodes (fewer than optimal 5)
    // by having multiple edges with same weight
    // Actually can't reduce below 5 for [5,7]
    
    // What about self-referencing tricks?
    // Node 1: START (in-degree 0)
    // Node 2: END (out-degree 0)
    // Can we do it in 2 nodes? No - need at least 3 edges (for 3-bit numbers)
    
    // For 5=101: START->1->0->1->END
    // For 6=110: START->1->1->0->END  
    // For 7=111: START->1->1->1->END
    
    // Minimum is 5 nodes for [5,7]
    cout << 5 << endl;
    cout << "1 2 1" << endl; // START -> A (weight 1)
    cout << "2 3 0 4 1" << endl; // A -> B(0), C(1)
    cout << "1 5 1" << endl; // B -> END(1) 
    cout << "2 5 0 5 1" << endl; // C -> END(0), END(1)
    cout << "0" << endl; // END
}