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  1. % Given flows
  2. f1 = 100; % Flow into junction A (vehicles per hour)
  3. f2 = 150; % Flow into junction B (vehicles per hour)
  4.  
  5. % Conservation of flow principle: Total flow into a junction equals total flow out
  6. % We have two equations:
  7. % Equation 1: f1 = f3 + f4 (for junction A)
  8. % Equation 2: f2 = f3 + f4 (for junction B)
  9.  
  10. % Check if the given flows are consistent
  11. if f1 ~= f2
  12. fprintf("The given flows are inconsistent. More information is needed.\n");
  13. % Determine the additional information needed
  14. fprintf("Additional sensor data is required to determine the flow at either junction A or B.\n");
  15. fprintf("You need to install at least one more traffic sensor.\n");
  16. else
  17. fprintf("The given flows are consistent.\n");
  18. % Solve for flows out of junction A and B
  19. f3 = (f1 + f2) / 2;
  20. f4 = f3;
  21. fprintf("Flow out of junction A (f3): %d vehicles per hour\n", f3);
  22. fprintf("Flow out of junction B (f4): %d vehicles per hour\n", f4);
  23. end
  24.  
Success #stdin #stdout 0.1s 46552KB
stdin
Standard input is empty
stdout
The given flows are inconsistent. More information is needed.
Additional sensor data is required to determine the flow at either junction A or B.
You need to install at least one more traffic sensor.