#include <iostream>
 
int primes_all[] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97};
 
const int N_max = 85;
typedef long long ways;
ways ways_to_reach_N[N_max + 1] = { 1 };
 
int main()
{
    // find all paths
    for( int i = 0; i <= N_max; ++i ) {
        ways ways_to_reach_i = ways_to_reach_N[i];
 
        if (ways_to_reach_i) {
            for( int* p = primes_all; *p <= N_max - i && p < (&primes_all)[1]; ++p ) {
                ways_to_reach_N[i + *p] += ways_to_reach_i;
            }
        }
    }
 
    // eliminate single-step paths
    for( int* p = primes_all; *p <= N_max && p < (&primes_all)[1]; ++p ) {
        --ways_to_reach_N[*p];
    }
 
    // print results
    for( int i = 1; i <= N_max; ++i ) {
        ways ways_to_reach_i = ways_to_reach_N[i];
 
        if (ways_to_reach_i) {
            std::cout << i << " -- " << ways_to_reach_i << std::endl;
        }
    }
 
    return 0;
}
 

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