Untitled

#include <bits/stdc++.h>
using namespace std;

// Function to find the minimum number of steps to reach the final state
int balance_water(vector<int> elements) {
    // Extract capacities, initial states, and final states from the input
    vector<int> caps(4), initial(4), final(4);
    
    for (int i = 0; i < 4; ++i) {
        caps[i] = elements[i]; // capacities
    }
    for (int i = 0; i < 4; ++i) {
        initial[i] = elements[i + 4]; // initial water contents
    }
    for (int i = 0; i < 4; ++i) {
        final[i] = elements[i + 8]; // final water contents
    }

    // Define the initial and final state
    tuple<int, int, int, int> initialState = {initial[0], initial[1], initial[2], initial[3]};
    tuple<int, int, int, int> finalState = {final[0], final[1], final[2], final[3]};

    // Check if the total water is the same
    if (accumulate(initial.begin(), initial.end(), 0) != accumulate(final.begin(), final.end(), 0)) {
        return -1; // Impossible if the total amount of water doesn't match
    }

    // BFS setup
    queue<pair<tuple<int, int, int, int>, int>> q; // (state, steps)
    set<tuple<int, int, int, int>> visited;

    // Initial state
    q.push({initialState, 0});
    visited.insert(initialState);

    while (!q.empty()) {
        auto [currentState, steps] = q.front();
        q.pop();

        // Check if we reached the final state
        if (currentState == finalState) {
            return steps; // Return the number of steps taken
        }

        // Explore all possible moves
        for (int i = 0; i < 4; ++i) { // From each jug
            for (int j = 0; j < 4; ++j) { // To each jug
                if (i != j) { // Cannot pour into the same jug
                    int currentContents[4];
                    tie(currentContents[0], currentContents[1], currentContents[2], currentContents[3]) = currentState;

                    // Calculate the amount to pour
                    int pourAmount = min(currentContents[i], caps[j] - currentContents[j]);
                    if (pourAmount > 0) {
                        // Create a new state
                        int newContents[4] = {currentContents[0], currentContents[1], currentContents[2], currentContents[3]};
                        newContents[i] -= pourAmount;
                        newContents[j] += pourAmount;

                        // Create a new state tuple
                        tuple<int, int, int, int> newState = {newContents[0], newContents[1], newContents[2], newContents[3]};

                        if (visited.find(newState) == visited.end()) {
                            visited.insert(newState);
                            q.push({newState, steps + 1});
                        }
                    }
                }
            }
        }
    }

    return -1; // If the final state is not reachable
}

int main() {
    // Example input array (change these values as needed)
    vector<int> elements = {5, 7, 9, 12, 1, 2, 3, 4, 4, 3, 2, 1}; // capacities, initial, final

    // Call the balance_water function
    int result = balance_water(elements);
    
    // Output the result
    cout << result << endl;

    return 0;
}