Equilateral numbers

input/code.cpp: In function 'int main()':
input/code.cpp:31:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   31 |     for(int i=0; i<nums.size(); i++){
      |                  ~^~~~~~~~~~~~

#include <bits/stdc++.h>
#include <limits>
using namespace std;
typedef long long ll;
 
 
int main()
{
 
    ll n;
    cin >> n;
    vector<ll> nums;
 
    ll k = 1;
    ll eq = 1;
    nums.push_back(k);
    ++k;
    //cout << eq << endl;
    while (eq <= n)
    {
        eq += k;
        nums.push_back(eq);
        ++k;
        //cout << eq << endl;
    }
 
    vector<int> dp(n+1,-1);
    dp[1] = 1;
    dp[0] = 0;
    
    for(int i=0; i<nums.size(); i++){
        if(nums[i]<n)dp[nums[i]] = 1;
    }
 
    //for(int i=0; i<dp.size(); i++) cout << dp[i] << " ";
    //cout << endl;
 
    for(int i=1; i<(n+1); i++){
        if(dp[i]!=-1)continue;
 
        ll l = i-1;
        ll max = i;
 
        ll nops = 0;
        while (max > 0 and l >= 1)
        {
 
            if (l <= max)
            {
                //cout << "->>>" << l << endl;
                max -= l;
 
                nops += dp[l];
            }
            else
                --l;
        }
        dp[i] = nops;
        //cout << i << "------------" << endl;
    }
    cout << dp[n] << endl;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: WRONG ANSWER

Test 4

Verdict: ACCEPTED

Test 5

Verdict: WRONG ANSWER

Test 6

Verdict: RUNTIME ERROR

terminate called after throwing an instance of 'std::bad_alloc'
  what():  std::bad_alloc

Test 7

Verdict: TIME LIMIT EXCEEDED

Test 8

Verdict: RUNTIME ERROR

terminate called after throwing an instance of 'std::bad_alloc'
  what():  std::bad_alloc

Test 9

Verdict: RUNTIME ERROR

terminate called after throwing an instance of 'std::bad_alloc'
  what():  std::bad_alloc

Test 10

Verdict: RUNTIME ERROR

terminate called after throwing an instance of 'std::bad_alloc'
  what():  std::bad_alloc

Test 11

Verdict: RUNTIME ERROR

terminate called after throwing an instance of 'std::bad_alloc'
  what():  std::bad_alloc

Test 12

Verdict: RUNTIME ERROR

terminate called after throwing an instance of 'std::bad_alloc'
  what():  std::bad_alloc