#include #include using namespace atcoder; //#pragma GCC target ("avx2") //#pragma GCC optimization("O3") //#pragma GCC optimization("unroll-loops") //#pragma comment(linker, "/stack:200000000") //#pragma GCC optimize("Ofast") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #define int long long #define double long double #define stoi stoll //#define endl "\n" using std::abs; using namespace std; //constexpr int MOD = 1000000007; constexpr int MOD = 998244353; //using mint = modint1000000007; using mint = modint998244353; constexpr double PI = 3.14159265358979323846; const int INF = 1LL << 62; #define rep(i,n) for(int i=0;i=0;i--) #define Rrep(i,n) for(int i=n;i>0;i--) #define LAST(x) x[x.size()-1] #define ALL(x) (x).begin(),(x).end() #define MAX(x) *max_element(ALL(x)) #define MIN(x) *min_element(ALL(x) #define RUD(a,b) (((a)+(b)-1)/(b)) #define sum1_n(n) ((n)*(n+1)/2) #define SUM1n2(n) (n*(2*n+1)*(n+1))/6 #define SUMkn(k,n) (SUM1n(n)-SUM1n(k-1)) #define SZ(x) ((int)(x).size()) #define PB push_back #define Fi first #define Se second typedef vector vint; typedef vector vvint; typedef vector vvvint; typedef vector vdouble; typedef vector vvdouble; typedef vector vvvdouble; typedef vector vstring; typedef vector vbool; typedef vector vvbool; typedef vector vvvbool; typedef map mapint; typedef pair pint; typedef pair pstring; typedef pair pvstring; typedef tupletint; typedef vector vpint; typedef vector vvpint; typedef vector vtint; typedef vector vvtint; int factorial(int a) { if (a == 0) return 1; else return a * factorial(a - 1); } int nPr(int n, int r) { int s = n - r + 1; int sum = 1; for (int i = s; i <= n; i++) sum *= i; return sum; } int GCD(int a, int b) { if (b == 0) return a; return GCD(b, a % b); } int LCM(int a, int b) { return a / GCD(a, b) * b; } double LOG(int a, int b) { return log(b) / log(a); } double DISTANCE(int x1, int y1, int x2, int y2) { return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)); } inline bool BETWEEN(int x, int min, int max) { if (min <= x && x <= max) return true; else return false; } inline bool between(int x, int min, int max) { if (min < x && x < max) return true; else return false; } inline bool BETWEEN2(int i,int j,int H,int W) { if (BETWEEN(i,0,H-1)&&BETWEEN(j,0,W-1)) return true; else return false; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } inline bool bit(int x, int i) { return x >> i & 1; } int in() { int x; cin >> x; return x; } string ins() { string x; cin >> x; return x; } vint invi(int N) { vint x(N); rep(i, N)cin >> x[i]; return x; } #define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl template struct my_pair :std::pair{ using std::pair::pair; my_pair operator+(const my_pair p){ return my_pair(this->first + p.first, this->second + p.second); } my_pair operator-(const my_pair p) { return my_pair(this->first - p.first, this->second - p.second); } void print(){ cout << this->first << " " << this->second << endl; } }; /* const int MAXR = 210000; int fac[MAXR], finv[MAXR], inv[MAXR]; void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAXR; 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; } } int nCr(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; } */ /* mint nCrm(long long N, long long K) { mint res = 1; if (N < K) return 0; if (N < 0 || K < 0) return 0; for (long long n = 0; n < K; ++n) { res *= (N - n); res /= (n + 1); } return res; } */ int nCr2(int n, int k) { //MODらない奴 if (n < k) return 0; if (n < 0 || k < 0) return 1; int ans = 1; REP(i, k) { ans *= n--; ans /= i; } return ans; } vpint prime_factorize(int N) { vpint res; for (int i = 2; i * i <= N; i++) { if (N % i != 0) continue; int ex = 0; while (N % i == 0) { ++ex; N /= i; } res.push_back({ i, ex }); } if (N != 1) res.push_back({ N, 1 }); return res; } int ipow(int x, int n) { int ans = 1; while (n > 0) { if (n & 1) ans *= x; x *= x; n >>= 1; } return ans; } string base_to_k(int n, int k) { //n(10)→n(k) string ans = ""; while (n) { ans += to_string(n % k); n /= k; } reverse(ALL(ans)); return ans; } string base(string n, int k, int l) { //n(k)→n(l) return n; } string base_from_k(string n, int k) { //n(k)→n(10) int ans = 0; int N = n.size(); rep(i, N) ans += (n[N - 1 - i] - '0') * ipow(k, i); return to_string(ans); } template vector compress(vector& X) { vector vals = X; sort(ALL(vals)); vals.erase(unique(ALL(vals)), vals.end()); rep(i, SZ(X)) X[i] = lower_bound(ALL(vals), X[i]) - vals.begin(); return vals; } vector> run_length(string x) { vector> ans; char ch = x[0]; int cou = 1; REP(i,SZ(x)){ if (x[i] == x[i - 1]) { cou++; } else { ans.push_back({ ch,cou }); ch = x[i]; cou = 1; } } return ans; } void YN(bool x) { if (x) { cout << "Yes" << endl; }else{ cout << "No" << endl; } } vbool prime_table(int n) { vbool prime(n + 1, true); if (n >= 0) prime[0] = false; if (n >= 1) prime[1] = false; for (int i = 2; i * i <= n; i++) { if (!prime[i]) continue; for (int j = i + i; j <= n; j += i) { prime[j] = false; } } return prime; } vint divisors(int N) { vint ans; for (int i = 1; i * i <= N; i++) { if (N % i == 0) { ans.push_back(N / i); if (i * i != N)ans.push_back(i); } } sort(ALL(ans)); return ans; } /* /// 行列積 vvint mat_mul(vvint& a, vvint& b) { vvint res(SZ(a), vint(SZ(b[0]))); rep(i, SZ(a)) rep(j, SZ(b)) rep(k, SZ(b)) { (res[i][j] += a[i][k] * b[k][j]) %= MOD; } return res; } /// 行列累乗 vvint mat_pow(vvint a,int n) { vvint res(a.size(), vint(a.size())); // 単位行列で初期化 rep(i, SZ(a))res[i][i] = 1; // 繰り返し二乗法 while (n > 0) { if (n & 1) res = mat_mul(a, res); a = mat_mul(a, a); n >>= 1; } return res; } */ const int dx[4] = { 1, 0, -1, 0 }; const int dy[4] = { 0, 1, 0, -1 }; typedef vector vmint; typedef vector vvmint; typedef vector vvvmint; void solve() { int N = in(); vint a,b; int zero = 0; set se; rep(i, N) { int x = in(); if (x == 0)zero++; else a.push_back(x), se.insert(x); } if (SZ(se) == 1 || SZ(se)==0) { cout << "Yes" << endl; return; } sort(ALL(a)); rep(i, SZ(a) - 1)if (a[i] == a[i + 1]) { cout << "No"; return; } rep(i, SZ(a)-1)b.push_back(a[i + 1] - a[i]); int d = b[0]; rep(i, SZ(b)-1)d = GCD(d, b[i + 1]); int re = 0; rep(i, SZ(b))re += b[i] / d-1; //cout << re << " "<