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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