#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using pii = pair; using pll = pair; template using vc = vector; template using vvc = vector>; template using vvvc = vector>>; template using pq = priority_queue,greater>; template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } int dx4[] = {1,0,-1,0}; int dy4[] = {0,1,0,-1}; #define overload5(a, b, c, d, e, name, ...) name #define overload4(a, b, c, d, name, ...) name #define REP0(n) for(ll jidlsjf = 0; jidlsjf < n; ++jidlsjf) #define REP1(i, n) for(ll i = 0; i < (n); ++i) #define REP2(i, a, b) for(ll i = (a); i < (b); ++i) #define REP3(i, a, b, c) for(ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, REP3, REP2, REP1, REP0)(__VA_ARGS__) #define per0(n) for(int jidlsjf = 0; jidlsjf < (n); ++jidlsjf) #define per1(i, n) for(ll i = (n)-1; i >= 0; --i) #define per2(i, a, b) for(ll i = (a)-1; i >= b; --i) #define per3(i, a, b, c) for(ll i = (a)-1; i >= (b); i -= (c)) #define per(...) overload4(__VA_ARGS__, per3, per2, per1, per0)(__VA_ARGS__) #define setbits(j, n) for(ll iiiii = (n), j = lowbit(iiiii); iiiii; iiiii ^= 1 << j, j = lowbit(iiiii)) #define perm(v) for(bool permrepflag = true; (permrepflag ? exchange(permrepflag, false) : next_permutation(all(v)));) #define fi first #define se second #define pb push_back #define ppb pop_back #define ppf pop_front #define drop(s) cout << #s << endl, exit(0) #define si(c) (int)(c).size() #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define lbg(c, x) distance((c).begin(), lower_bound(all(c), (x), greater{})) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define ubg(c, x) distance((c).begin(), upper_bound(all(c), (x), greater{})) #define rng(v, l, r) v.begin() + (l), v.begin() + (r) #define all(c) c.begin(), c.end() #define rall(c) c.rbegin(), c.rend() #define SORT(v) sort(all(v)) #define REV(v) reverse(all(v)) #define UNIQUE(x) SORT(x), x.erase(unique(all(x)), x.end()) #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define overload2(_1, _2, name, ...) name #define vec(type, name, ...) vector name(__VA_ARGS__) #define vv(type, name, h, ...) vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) vector>> name(h, vector>(w, vector(__VA_ARGS__))) long long binary_gcd(long long a,long long b) { if(a == 0 || b == 0) return a+b; int k = 0; while(!((a&1)|(b&1))) { k++; a >>= 1; b >>= 1; } while (a != b) { while(!(a&1)) a >>= 1; while(!(b&1)) b >>= 1; if(a > b) a -= b; else if(a < b) b -= a; } return a << k; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vcx(n),y(n); rep(i,n) { cin >> x[i] >> y[i]; } map,int>mp; ll ans = 0; rep(i,n) { rep(j,i+1,n) { int mx = x[i]+x[j]; int my = y[i]+y[j]; int gx = x[i]-x[j]; int gy = y[i]-y[j]; int g = binary_gcd(abs(gx),abs(gy)); gx /= g; gy /= g; if(gx < 0) { gx = -gx; gy = -gy; } if(gx == 0) gy = 1; if(gy == 0) gx = 1; mp[{mx,my,gx,gy}]++; if(gy < 0) { gx = -gx; gy = -gy; } if(gx == 0) gy = 1; if(gy == 0) gx = -1; ans += mp[{mx,my,gy,-gx}]; } } cout << ans << "\n"; }