Create Soln2.cpp

Author: PHOX-9

Problems/Binary-Search/Day-07/sol/Ibrahim/Soln2.cpp

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+//https://codeforces.com/contest/1777/submission/356278453
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#define int long long
+#define ll long long
+#define ull unsigned long long
+#define ld long double
+#define pii pair<int,int>
+#define vi vector<int>
+#define vvi vector<vector<int>>
+#define vpi vector<pair<int,int>>
+#define all(x) (x).begin(), (x).end()
+
+
+const long long MAXN = 2e6;
+const long long MOD = 1e9 + 7;
+const int INF = 1e18;
+const ld EPS = 1e-9;
+
+
+#define fastio ios::sync_with_stdio(false); cin.tie(nullptr);
+
+#ifndef ONLINE_JUDGE
+    #define debug(x) cerr << #x << " = " << x << "\n";
+#else
+    #define debug(x)
+#endif
+
+// Utility functions
+int gcd(int a, int b) { return b ? gcd(b, a % b) : a; }
+int lcm(int a, int b) { return a / gcd(a, b) * b; }
+int mod_add(int a, int b, int m=MOD) { return ((a % m) + (b % m) + m) % m; }
+int mod_sub(int a, int b, int m=MOD) { return ((a % m) - (b % m) + m) % m; }
+int mod_mul(int a, int b, int m=MOD) { return ((a % m) * (b % m)) % m; }
+
+//Binary Exponentiation
+int binexp(int a, int b, int m=MOD) {
+    int res = 1;
+    a %= m;
+    while(b > 0) {
+        if(b & 1) res = (res * a) % m;
+        a = (a * a) % m;
+        b >>= 1;
+    }
+    return res;
+}
+
+int mod_inv(int a, int m=MOD) {
+    return binexp(a, m - 2, m);
+}
+
+long long fac[MAXN + 1];
+long long inv[MAXN + 1];
+
+long long exp(long long x, long long n, long long m) {
+  x %= m;
+  long long res = 1;
+  while (n > 0) {
+    if (n % 2 == 1) { res = res * x % m; }
+    x = x * x % m;
+    n /= 2;
+  }
+  return res;
+}
+
+void factorial() {
+  fac[0] = 1;
+  for (long long i = 1; i <= MAXN; i++) { fac[i] = fac[i - 1] * i % MOD; }
+}
+
+void inverses() {
+  inv[MAXN] = exp(fac[MAXN], MOD - 2, MOD);
+  for (long long i = MAXN; i >= 1; i--) { inv[i - 1] = inv[i] * i % MOD; }
+}
+
+long long choose(long long n, long long r) {
+  if (r > n)return 0ll;
+  return (fac[n] * inv[r] % MOD * inv[n - r] % MOD) % MOD;
+}
+
+long long catalan(long long n) {
+  return (exp(n + 1, MOD - 2, MOD) % MOD * choose(2 * n, n) % MOD) % MOD;
+}
+
+//Returns all prime numbers <=N
+vector<int> sieve(int n) {
+    vector<bool> prime(n + 1, true);
+    for (int p=2;p*p<=n;p++) {
+        if (prime[p] == true) {
+            
+            for (int i=p*p;i<=n;i+=p)
+                prime[i] = false;
+        }
+    }
+    
+    vector<int> res;
+    for (int p = 2; p <= n; p++){
+        if (prime[p]){ 
+            res.push_back(p);
+        }
+    }
+    return res;
+}
+
+//Prime factors of all numbers upto N
+vector<vector<int>> primefactors(int N)
+{
+    vvi pfac(N + 1);
+        for (int i=2;i<=N;i++){
+        if (!pfac[i].empty())
+            continue;
+
+        for (int j = i; j <= N; j += i)
+            pfac[j].push_back(i);
+    }
+            
+    return pfac;
+}
+
+//smallest prime factor of a number
+int spf(int n) {
+    if (n % 2 == 0) return 2;
+    for (int i = 3; i * i <= n; i += 2) {
+        if (n % i == 0) return i;
+    }
+    return n;
+}
+
+int power2(int p)
+{
+    int v=1ll<<p;
+    return v;
+}
+
+//Sort functions
+
+void sort(vector<int>&a)
+{
+    sort(a.begin(),a.end());
+}
+
+void psort(vector<pair<int,int>>&a)
+{
+    sort(a.begin(),a.end());
+}
+
+void rsort(vector<int>&a)
+{
+    sort(a.rbegin(),a.rend());
+}
+
+void rpsort(vector<pair<int,int>>&a)
+{
+    sort(a.rbegin(),a.rend());
+}
+
+//2-D Vector Declaration: 
+//vvi mat(n,vi(m));     // nxm matrix, all initialized to 0
+
+
+/***************Code***************/
+
+const int mx=1e5;
+vvi fctr(mx+10);
+
+void factor()
+{
+for(int i=1;i<=mx;i++)
+{
+    for(int j=i;j<=mx;j+=i)
+    {
+        fctr[j].push_back(i);
+    }
+}
+}
+
+void solve() {
+    int n,i,m;
+    cin>>n>>m;
+    vi a(n);
+    for(i=0;i<n;i++) 
+    cin>>a[i];
+
+    sort(a);
+
+    vi freq(m+1,0);
+    int cc=0;
+    int l=0;
+    int r;
+    int ans=1e10,v;
+    int f=0;
+    for(i=0;i<n;i++)
+    {
+        for(auto x: fctr[a[i]])
+        {
+            if(x>m)
+            break;
+
+            if(freq[x]==0)
+            cc++;
+
+            freq[x]++;
+        }
+        r=i;
+
+        while(cc==m)
+        {
+            v=a[r]-a[l];
+            if(v<ans)
+            {
+                f=1;
+                ans=v;
+            }
+
+            for(auto x: fctr[a[l]])
+            {
+                if(x>m)
+                break;
+                freq[x]--;
+                if(freq[x]==0)
+                {
+                    cc--;
+                }
+            }
+            l++;
+        }
+    }
+
+    if(f==0)
+    cout<<"-1"<<endl;
+    else
+    cout<<ans<<endl;
+}
+
+
+signed main() {
+    fastio;
+    int t = 1;
+    cin >> t;
+    factor();
+
+    while (t--) {
+        solve();
+    }
+    return 0;
+}