Please trace the execution of the following solution to the Dining Philosopher problem. #define N ___ enum status(EATING, HUNGRY, THINKING}; monitor diningPhilosophers { status state[N]; condition self[N]; test(int i) { if((state[(i-1) mod N] != EATING) && (state[i] == HUNGRY) && (state[(i+1) mod N] != EATING)) { state[i] = EATING; self[i].signal(); } }; public: diningPhilosophers() { // Initilization for(int i = 0; i < N; i++) state[i] = THINKING; }; test(int i) { if((state[(i-1) mod N] != EATING) && (state[i] == HUNGRY) && (state[(i+1) mod N] != EATING)) { state[i] = EATING; self[i].signal(); }; }; public: diningPhilosophers() {...}; pickUpForks(int i) { state[i] = HUNGRY; test(i); if(state[i] != EATING) self[i].wait(); }; putDownForks(int i) { state[i] = THINKING; test((i-1) mod N); test((i+1) mod N); }; }.