Submission #1268246

#TimeUsernameProblemLanguageResultExecution timeMemory
1268246iamarmanXOR (IZhO12_xor)C++20
0 / 100
869 ms327680 KiB
                                                  //   Bismillahir Rahmanir Rahim      //
                                                 //     After hardship comes ease     //
                                                //         AUTHOR : iamarman         //

// pragmas
// #pragma GCC optimize("Ofast")
// #pragma GCC target("avx,avx2,fma")
// #pragma GCC optimization ("unroll-loops")
// #pragma GCC optimization ("strict-overflow")
 
#include<bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;

                                                    ////       TEMPLATE       ////

//---------------------------------------------------------------------------------------------------------------------------------|


# define    el '\n'
# define    sp " "
# define    ff first
# define    ss second
# define    ll long long
# define    pb push_back
# define    mp make_pair
# define    yess1 cout<<1<<el 
# define    noo cout<<"NO"<<el
# define    yess cout<<"YES"<<el
# define    siz(x) (int)x.size()
# define    ull unsigned long long    
# define    all(v) v.begin(),v.end()
# define    allr(v) v.rbegin(),v.rend()
# define    torad(x) ((x) * ((2*acos(0))/180.0))
# define    todeg(x) ((x) * (180.0/(2*acos(0))))

constexpr ll mod=998244353;
constexpr ll INF=2e18;
constexpr double PI= acos(-1);
constexpr double eps=1e-9;

# define mem(a,b) memset(a,b,sizeof(a))
# define sqr(a) ((a)*(a))
# define lcm(a,b) (a*b)/__gcd(a,b)

# define optimise   { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); }
# define fraction(a) cout.unsetf(ios::floatfield); cout.precision(a); cout.setf(ios::fixed,ios::floatfield);
# define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>

// find_by_order() - Returns an iterator to the k-th largest element (counting from zero)
// order_of_key()  - The number of items in a set that are strictly smaller than our item 
// greater instead of less for descending order
// less_equal works as ordered multiset
// we can use pair<int,int> instead of int for pair of orderd set
// for multiset st.lower_bound(x) works as upper bound and st.upper_bound(x) works as lower bound

inline void file() {
#ifndef ONLINE_JUDGE  
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif // ONLINE_JUDGE
}
//----------------------------------------------------------------------------------------------------------------------------------|


                                                               // DEBUGGER //


//----------------------------------------------------------------------------------------------------------------------------------|

template < typename F, typename S > ostream& operator << ( ostream& os, const pair< F, S > & p ) { return os << "(" << p.first << ", " << p.second << ")"; }
template < typename T > ostream &operator << ( ostream & os, const vector< T > &v ) { os << "{"; for(auto it = v.begin(); it != v.end(); ++it) { if( it != v.begin() ) os << ", ";  os << *it; }  return os << "}";  }
template < typename T >  ostream &operator << ( ostream & os, const set< T > &v ) { os << "["; for(auto it = v.begin(); it != v.end(); ++it) { if( it != v.begin() ) os << ", "; os << *it;  } return os << "]"; }
template < typename T > ostream &operator << ( ostream & os, const multiset< T > &v ) { os << "["; for(auto it = v.begin(); it != v.end(); ++it) { if( it != v.begin() ) os << ", "; os << *it; } return os << "]"; }
template < typename F, typename S > ostream &operator << ( ostream & os, const map< F, S > &v ) { os << "["; for(auto it = v.begin(); it != v.end(); ++it) { if( it != v.begin() ) os << ", "; os << it -> first << " = " << it -> second ; } return os << "]";  }
#define dbg(args...) do {cerr << #args << " : "; iamarman(args); } while(0)
void iamarman () { cerr << endl; }
template <typename T> void iamarman( T a[], int n ) {   for(int i = 0; i < n; ++i) cerr << a[i] << ' '; cerr << endl;  }
template <typename T, typename ... hello>  void iamarman( T arg, const hello &... rest) {   cerr << arg << ' ';  iamarman(rest...);  }

//--------------------------------------------------------------------------------------------------------------------------------------|



                                                           /////    FUNCTIONS     /////



ll bigmod(ll base,ll power){ ll res=1; ll p=base%mod; while(power>0) { if(power%2==1) {  res=((res%mod)*(p%mod))%mod; }  power/=2; p=((p%mod)*(p%mod))%mod; } return res; }

ll inversemod(ll base) { return bigmod(base,mod-2); }

ll poww(ull a,ull b) { ull ans=1; if(!b) return 1; while(b>1) {  if(b&1) { ans=ans*a%mod; } a=a*a%mod; b/=2; }return a*ans%mod; }

ll gcd(ll a,ll b) { ll rem; while(b%a!=0)  {  rem=b%a;  b=a;  a=rem; } return a; }

ll sqrtt(ll a){ long long x = sqrt(a) + 2; while (x * x > a) x--; return x;}

ll sqrt(ll n) {ll low=0,high=1e10; while(high-low>1){ ll mid=low+(high-low)/2; if(mid*mid<=n) low=mid; else high=mid; }return low; }

long double sqrtd(long double n){ long double low=0,high=n,mid; for(int i=0;i<100;i++) { mid=(low+high)/2; if(mid*mid<=n) low=mid; else high=mid;} return low;}

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

inline ll getrandom(ll a,ll b) { return uniform_int_distribution<ll>(a,b)(rng); }

 
int dx[]={-1, 1 , 0 , 0 , -1 ,-1, 1, 1};
int dy[]={ 0, 0 ,-1 , 1 , -1 , 1,-1, 1};

// up = { -1,0 } , down = { 1,0 } , right = { 0,1 } , left = { 0,-1 }
// up-right = { -1,1 } , up-left = { -1,-1 } , down-right = { 1,1 } , down-left = { 1,-1 }




                                                   ///  ____________CODE STARTS FROM HERE____________    ///

class TrieNode
{
public:
    TrieNode *left;
    TrieNode *right;
    int cnt;
    TrieNode()
    {
        left = NULL;
        right = NULL;
        cnt = 0;
    }
};

class Trie
{
    TrieNode *root;
public:
    Trie()
    {
        root = new TrieNode();
    }

    void insert(int n)
    {
        TrieNode *curr = root;
        // use bits 30..0 (safe for inputs <= 1e9)
        for (int i = 30; i >= 0; --i)
        {
            int bit = (n >> i) & 1;
            if (bit == 0)
            {
                if (curr->left == NULL)
                    curr->left = new TrieNode();
                curr = curr->left;
                curr->cnt++;
            }
            else
            {
                if (curr->right == NULL)
                    curr->right = new TrieNode();
                curr = curr->right;
                curr->cnt++;
            }
        }
    }

    int max_xor_pair(int n)
    {
        TrieNode *curr = root;
        int ans = 0;
        for (int i = 30; i >= 0; --i)
        {
            if (curr == NULL) break;
            int bit = (n >> i) & 1;
            if (bit == 0)
            {
                if (curr->right != NULL && curr->right->cnt > 0)
                {
                    ans |= (1 << i);   // safe shift because i <= 30
                    curr = curr->right;
                }
                else
                {
                    curr = curr->left;
                }
            }
            else
            {
                if (curr->left != NULL && curr->left->cnt > 0)
                {
                    ans |= (1 << i);
                    curr = curr->left;
                }
                else
                {
                    curr = curr->right;
                }
            }
        }
        return ans;
    }
};

void solve()
{
    int n,x;
    cin>>n>>x;
    vector<int> vec(n+1);
    for(int i=1;i<=n;i++)
    {
        cin>>vec[i];
        vec[i]^=vec[i-1];
    }

    auto ok=[&](int len)->bool
    {
        Trie tr;
        tr.insert(0);
        for(int i=len;i<=n;i++)
        {
            tr.insert(vec[i-len]);
            if(tr.max_xor_pair(vec[i])>=x) return true;
        }
        return false;
    };

    int low=1,high=n+1;
    while(high-low>1)
    {
        int mid=low+(high-low)/2;
        if(ok(mid)) low=mid;
        else high=mid;
    }

    for(int i=low;i<=n;i++)
    {
        if((vec[i]^(vec[i-low]))>=x)
        {
            cout<<i-low+1<<sp<<low<<el;
            return;
        }
    }

}
int main()
{ 
    optimise;
    //file();
    clock_t start= clock();
    int t=1;
    // cin>>t;
    for(int i=1;i<=t;i++)
    {
         //cout<<"Case "<<i<<": ";
        solve();
    }
  //  cerr << "Run Time : " <<((double)(clock() - start) / CLOCKS_PER_SEC)<<el;

}
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