For this Question: You are given Q queries. In each query, determine whether there exists an array A of size N such that:

1. All the elements are positive integers.

2. The number of subarrays such that their XOR-sum is 0 is exactly K. In other words, there are exactly K pairs of integers (l, r) such that 1 &le; l &le; r &le; N and A<sub>l</sub> &oplus; A<sub>l+1</sub> &oplus; ... A<sub>r</sub> = 0. 

If there exists such an array, print "YES", otherwise print "NO".The first line of the input contains a single integer Q — the number of queries (1 &le; Q &le; 10<sup>5</sup>).
Q lines follow, each line containing two space separated integers N (1 &le; N &le; 1000) and K (0 &le; K &le; N(N+1)/2).For each test case, print "YES", if there exists such an array, otherwise print "NO" (without the quotes).

Note that the output is case sensitive.Sample Input
3
2 2
3 2
2 1

Sample Output
NO
YES
YES, I have written this Solution Code: #include <bits/stdc++.h>
#define endl '\n'
using namespace std;
 
typedef long long ll;
typedef long double ld;
#define db(x) cerr << #x << ": " << x << '\n';
#define read(a) int a; cin >> a;
#define reads(s) string s; cin >> s;
#define readb(a, b) int a, b; cin >> a >> b;
#define readc(a, b, c) int a, b, c; cin >> a >> b >> c;
#define readarr(a, n) int a[(n) + 1] = {}; FOR(i, 1, (n)) {cin >> a[i];}
#define readmat(a, n, m) int a[n + 1][m + 1] = {}; FOR(i, 1, n) {FOR(j, 1, m) cin >> a[i][j];}
 
#define print(a) cout << a << endl;
#define printarr(a, n) FOR (i, 1, n) cout << a[i] << " "; cout << endl;
#define printv(v) for (int i: v) cout << i << " "; cout << endl;
#define printmat(a, n, m) FOR (i, 1, n) {FOR (j, 1, m) cout << a[i][j] << " "; cout << endl;}
#define all(v) v.begin(), v.end()
#define sz(v) (int)(v.size())
#define rz(v, n) v.resize((n) + 1);
#define pb push_back
#define fi first
#define se second
#define vi vector <int>
#define pi pair <int, int>
#define vpi vector <pi>
#define vvi vector <vi>
#define setprec cout << fixed << showpoint << setprecision(20);
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (a); i >= (b); i--)
const ll inf = 1e9;
const ll mod = 1e9 + 7;
//const ll mod = 998244353;
const ll N = 2e5 + 1;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
int power (int a, int b = mod - 2)
{
    int res = 1;
    while (b > 0) {
        if (b & 1)
            res = res * a % mod;
        a = a * a % mod;
        b >>= 1;
    }
    return res;
}
 
struct info {int n, k, idx;};
signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
 
    read(t);
    vector<vector <info>> q(1001);
    FOR (i, 1, t)
    {
        readb(n, k);
        q[n/2 + 1].pb({n, k, i});
    }
 
    vi dp(1001*500 + 5, inf);
    dp[0] = 0;
 
    bool ans[t + 1] = {};
    FOR (i, 1, 502)
    {
        FOR (j, i*(i - 1)/2, 1001*500)
            dp[j] = min(dp[j], dp[j - i*(i - 1)/2] + i);
 
        for (auto x: q[i])
            if (dp[x.k] <= x.n + 1) ans[x.idx] = 1;
    }
 
    FOR (i, 1, t)
        if (ans[i]) cout << "YES" << endl;
        else cout << "NO" << endl; 
}
 
 
 
 
 
 
 
 
 
 
 
, In this Programming Language: C++, Now tell me if this Code is compilable or not?