#include #define all(x) (x).begin(),(x).end() typedef long long ll; #define rep(i,n) for(ll i=0, i##_len=(n); i=a;i--) #define reprev(i,n) repprev(i,0,n) using namespace std; #define sz(x) ((int)(x).size()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) #define MEMSET(v, h) memset((v), h, sizeof(v)) templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b int former(const vector &v, T x){ return upper_bound(v.begin(),v.end(),x) - v.begin() - 1; } template int latter(const vector &v, T x){ return lower_bound(v.begin(),v.end(),x) - v.begin(); } #define pb push_back #define mp make_pair #define y0 y3487465 #define y1 y8687969 #define j0 j1347829 #define j1 j234892 #define BIT_FLAG_0 (1<<0) // 0000 0000 0000 0001 #define BIT_FLAG_1 (1<<1) // 0000 0000 0000 0010 #define BIT_FLAG_2 (1<<2) // 0000 0000 0000 0100 #define BIT_FLAG_3 (1<<3) // 0000 0000 0000 1000 #define BIT_FLAG_4 (1<<4) // 0000 0000 0001 0000 #define BIT_FLAG_5 (1<<5) // 0000 0000 0010 0000 #define BIT_FLAG_6 (1<<6) // 0000 0000 0100 0000 #define BIT_FLAG_7 (1<<7) // 0000 0000 1000 0000 ll gcd(ll a,ll b){return b?gcd(b,a%b):a;} const ll LLINF = 1LL<<60; const int INTINF = 1<<29; const int MAX = 510000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } struct UnionFind { vector par; // par[i]:iの親の番号 (例) par[3] = 2 : 3の親が2 UnionFind(ll n) : par(n, -1) { } void init(ll n) { par.assign(n, -1); } ll root(ll x) { if (par[x] < 0) return x; else return par[x] = root(par[x]); } bool issame(ll x, ll y) { return root(x) == root(y); } bool merge(ll x, ll y) { x = root(x); y = root(y); if (x == y) return false; if (par[x] > par[y]) swap(x, y); // merge technique par[x] += par[y]; par[y] = x; return true; } ll size(ll x) { return -par[root(x)]; } }; template vector dijkstra(int s,vector > > & G){ const T INF = numeric_limits::max(); using P = pair; int n=G.size(); vector d(n,INF); vector b(n,-1); priority_queue,greater

> q; d[s]=0; q.emplace(d[s],s); while(!q.empty()){ P p=q.top();q.pop(); int v=p.second; if(d[v]d[v]+c){ d[u]=d[v]+c; b[u]=v; q.emplace(d[u],u); } } } return d; } const int dx[4] = {1, 0, -1, 0}; // const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; const int dy[4] = {0, 1, 0, -1}; // const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; int XY[2*2000*2000+100]; // XY[i]: 左辺がiになる組み合わせの数 int WZ[2*2000*2000+100]; // WZ[i]: 右辺がiになる組み合わせの数 int main(void){ int n, d; cin >> n >> d; vector wzd(n * n); for(int w = 1; w <= n; ++w){ for(int z = 1; z <= n; ++z){ int right = w * w - z * z + d; if(right >= 2 && right <= 2 * n * n) ++WZ[right]; } } int ans = 0; for(int x = 1; x <= n; ++x){ for(int y = 1; y <= n; ++y){ int left = x * x + y * y; ++XY[left]; } } for(int i = 2; i <= 2 * n * n; ++i){ ans += XY[i] * WZ[i]; } cout << ans << endl; }