#include <iostream>
#include <vector>
using namespace std;

// Function to check if a process can be safely executed
bool canExecute(int process, vector<int> &work, vector<vector<int>> &need) {
    for (int i = 0; i < work.size(); i++) {
        if (need[process][i] > work[i])
            return false;
    }
    return true;
}

// Banker's Algorithm
void bankersAlgorithm(int n, int m, vector<vector<int>> &allocation, vector<vector<int>> &max, vector<int> &available) {
    vector<int> work = available;
    vector<bool> finish(n, false);
    vector<int> safeSequence;

    // Calculate the Need matrix
    vector<vector<int>> need(n, vector<int>(m));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            need[i][j] = max[i][j] - allocation[i][j];
        }
    }

    int count = 0;
    while (count < n) {
        bool found = false;
        for (int i = 0; i < n; i++) {
            if (!finish[i] && canExecute(i, work, need)) {
                for (int j = 0; j < m; j++) {
                    work[j] += allocation[i][j];
                }
                safeSequence.push_back(i);
                finish[i] = true;
                found = true;
                count++;
            }
        }
        if (!found) {
            cout << "System is not in a safe state. Deadlock may occur." << endl;
            return;
        }
    }

    cout << "System is in a safe state.\nSafe sequence: ";
    for (int i = 0; i < safeSequence.size(); i++) {
        cout << "P" << safeSequence[i];
        if (i < safeSequence.size() - 1) cout << " -> ";
    }
    cout << endl;
}

int main() {
    int n, m;

    // Input number of processes and resources
    cout << "Enter the number of processes: ";
    cin >> n;
    cout << "Enter the number of resources: ";
    cin >> m;

    vector<vector<int>> allocation(n, vector<int>(m));
    vector<vector<int>> max(n, vector<int>(m));
    vector<int> available(m);

    // Input Allocation matrix
    cout << "Enter the Allocation matrix (" << n << " x " << m << "):\n";
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cin >> allocation[i][j];
        }
    }

    // Input Max matrix
    cout << "Enter the Max matrix (" << n << " x " << m << "):\n";
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cin >> max[i][j];
        }
    }

    // Input Available resources
    cout << "Enter the Available resources (" << m << "): ";
    for (int i = 0; i < m; i++) {
        cin >> available[i];
    }

    // Run Banker's Algorithm
    bankersAlgorithm(n, m, allocation, max, available);

    return 0;
}