TheAlgorithms-C-Plus-Plus/dynamic_programming/cut_rod.cpp

/*Given a rod of length n inches and an array of prices that
contains prices of all pieces of size smaller than n. Determine
the maximum value obtainable by cutting up the rod and selling
the pieces.*/

#include <array>
#include <climits>
#include <iostream>

using std::cout;

template <size_t T>

int cutrod(const std::array<int, T> &p, int n) {
    std::array<int, n + 1> r;
    r[0] = 0;
    for (int j = 0; j < n; j++) {
        int q = INT_MIN;
        for (int i = 0; i <= j; i++) {
            q = std::max(q, p[i] + r[j - i]);
        }
        r[j + 1] = q;
    }
    return r[n];
}
int main() {
    std::array<int, 30> price = {1,  5,  8,  9,  10, 17, 17, 20, 24, 30,
                                 31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
                                 41, 42, 43, 44, 45, 46, 47, 48, 49, 50};
    cout << cutrod(price, 30);
    return 0;
}