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

void calculateNeed(vector<vector<int>>& need, vector<vector<int>>& max, vector<vector<int>>& allocation, int n, 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];
        }
    }
}

bool isSafe(vector<vector<int>>& allocation, vector<vector<int>>& need, vector<int>& available, int n, int m) {
    vector<bool> finish(n, false);
    vector<int> safeSequence(n);
    vector<int> work = available;
    int count = 0;

    while (count < n) {
        bool found = false;
        for (int i = 0; i < n; i++) {
            if (!finish[i]) {
                bool canProceed = true;
                for (int j = 0; j < m; j++) {
                    if (need[i][j] > work[j]) {
                        canProceed = false;
                        break;
                    }
                }
                if (canProceed) {
                    for (int j = 0; j < m; j++) {
                        work[j] += allocation[i][j];
                    }
                    safeSequence[count++] = i;
                    finish[i] = true;
                    found = true;
                }
            }
        }
        if (!found) {
            cout << "System is not in a safe state!" << endl;
            return false;
        }
    }

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

int main() {
    int n, m;

    // Input the number of processes and resources
    cout << "Enter the number of processes: ";
    cin >> n;
    cout << "Enter the number of resource types: ";
    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";
    for (int i = 0; i < n; i++) {
        cout << "Process " << i << ": ";
        for (int j = 0; j < m; j++) {
            cin >> allocation[i][j];
        }
    }

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

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

    // Calculate Need Matrix
    vector<vector<int>> need(n, vector<int>(m));
    calculateNeed(need, max, allocation, n, m);

    // Check if the system is in a safe state
    isSafe(allocation, need, available, n, m);

    return 0;
}