Cod sursa(job #1133132)

Utilizator ZeusCatalin Tiseanu Zeus Data 4 martie 2014 15:10:31
Problema Xor Max Scor 100
Compilator cpp Status done
Runda Arhiva de probleme Marime 6.97 kb
/*
 Catalin-Stefan Tiseanu
 Pre-written code is assembled from various sources found online.
 Big thanks to the community for that !
 */
// Pre-written code below

using namespace std;

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>

#include <unordered_map>

//START_CLEAN
// always remove

//START:mandatory
//#define DEBUG

#ifndef NDEBUG
#   define assert_msg(condition, message) \
do { \
if (! (condition)) { \
std::cerr << "Assertion `" #condition "` failed in " << __FILE__ \
<< " line " << __LINE__ << ": " << message << std::endl; \
std::exit(EXIT_FAILURE); \
} \
} while (false)
#else
#   define ASSERT(condition, message) do { } while (false)
#endif

#ifdef DEBUG
#define debug(args...)            {dbg,args; cerr<<endl;}
#else
#define debug(args...)              // Just strip off all debug tokens
#endif

template<class T> std::ostream&  operator <<(std::ostream& stream, const vector<T> & v) {
  for (auto el : v)
    stream << el << " ";
  return stream;
}

template<class T> std::ostream&  operator <<(std::ostream& stream, const vector<vector<T>> & v) {
  for (auto line : v) {
    for (auto el : line)
      stream << el << " ";
    stream << endl;
  }
  return stream;
}

template<class T, class U> std::ostream&  operator <<(std::ostream& stream, const pair<U, T> & p) {
  stream << "( " << p.first << ", " << p.second << " )";
  return stream;
}

class debugger {
public:
  template<class T> void output (const T& v) {
    cerr << v << " ";
  }
  
  template<class T> debugger& operator , (const T& v) {
    output(v);
    return *this;
  }
} dbg;
//END:mandatory

////////////////
// templates  //
////////////////

// general
//template size
template<typename T> int size(const T& c) { return int(c.size()); }
//template abs
template<typename T> T abs(T x) { return x < 0 ? -x : x; }
//template sqr
template<typename T> T sqr(T x) { return x*x; }
//template remin
template<typename T> bool remin(T& x, T y) { if (x <= y) return false; x = y; return true; }
//template remax
template<typename T> bool remax(T& x, T y) { if (x >= y) return false; x = y; return true; }
//template factorize
template<class T> inline vector<pair<T,int> > factorize(T n) {vector<pair<T,int> > R;for (T i=2;n>1;){if (n%i==0){int C=0;for (;n%i==0;C++,n/=i);R.push_back(make_pair(i,C));} i++;if (i>n/i) i=n;}if (n>1) R.push_back(make_pair(n,1));return R;}
//template toStr
template<typename T> string toStr(T x) { stringstream ss; ss << x; return ss.str(); }

// misc
#define EPS             1e-5

// types
//template int64
typedef long long            int64 ;
//template uint64
typedef unsigned long long   uint64 ;

// shortcuts
#define all(_xx)             _xx.begin(), _xx.end()

#define pb                   push_back
#define vi                   vector<int>
#define vs                   vector<string>
#define vvi                  vector<vector<int>>
#define vd                   vector<double>
#define vpii                 vector<pair<int,int> >
#define vpdd                 vector<pair<double,double> >

#define pii                  pair<int,int>
#define pll                  pair<long long, long long>
#define pdd                  pair<double, double>
#define mp(XX, YY)           make_pair(XX, YY)
#define fi                   first
#define se                   second

#define ll                   long long
#define SS                   stringstream

// for loops
#define re(II, NN)           for (int II(0), _NN(NN); (II) < (NN); ++(II))
#define fod(II, XX, YY)      for (int II(XX), _YY(YY); (II) >= (_YY); --(II))
#define fo(II, XX, YY)       for (int II(XX), _YY(YY); (II) <= (_YY); ++(II))
#define foreach(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();++it)

// Useful hardware instructions
#define bitcount             __builtin_popcount
#define gcd                  __gcd

// Useful all around
#define checkbit(n,b)        ( (n >> b) & 1)
#define DREP(a)              sort(a.begin(), a.end());a.erase(unique(a.begin(), a.end()),a.end())
#define INDEX(arr,ind)       (lower_bound(arr.begin(), arr.end(),ind)-arr.begin())
#define PAUSE cerr << "Press any key to continue ..."; char xxxx; scanf("%c", &xxxx);
#define fill(xx,val) memset(xx, val, sizeof(xx))

struct Scanner {
  char* curPos;
  
  const static int BUF_SIZE = (200000);
  char input[BUF_SIZE];
  
  FILE * fin;
  
  void init(FILE * _fin) {
    fin = _fin;
    fread(input, 1, sizeof(input), fin);
    curPos = input;
  }
  
  Scanner() {;}
  
  inline void ensureCapacity() {
    int size = input + BUF_SIZE - curPos;
    if (size < 100) {
      memcpy(input, curPos, size);
      fread(input + size, 1, BUF_SIZE - size, fin);
      curPos = input;
    }
  }
  
  inline int nextInt() {
    ensureCapacity();
    while (!isdigit(*curPos))
      ++curPos;
    int res = 0;
    while (*curPos >= '0' && *curPos <= '9')
      res = res * 10 + (*(curPos++) & 15);
    return res;
  }
} Sc;

//CODE STARTS HERE

const string filein = "xormax.in";
const string fileout = "xormax.out";

#define MAX_LOG 21
#define MAX_N 100111

int N, trie[1<<(MAX_LOG + 1)], A[MAX_N], pref_xor[MAX_N], result;

inline void add_trie(int x, int at) {
  int cur_node = 1;
  
  fod (cur_bit, MAX_LOG - 1, 0) {
    // mark this subtree as containing at least one value
    trie[cur_node] = 1;
    
    if (checkbit(x, cur_bit))
      cur_node = 2 * cur_node + 1;
    else
      cur_node = 2 * cur_node;
  }
  
  trie[cur_node] = at;

  debug("added:", at, "to:", cur_node);
}

inline int search_trie(int x) {
  int cur_node = 1;

  fod (cur_bit, MAX_LOG - 1, 0) {
    if (checkbit(x, cur_bit)) {
      // we wanna go left now for max_xor;
      if (trie[2*cur_node])
        cur_node = 2 * cur_node;
      else
        cur_node = 2 * cur_node + 1;
    } else {
      // we wanna go right now for max_xor;
      if (trie[2*cur_node + 1])
        cur_node = 2 * cur_node + 1;
      else
        cur_node = 2 * cur_node;
    }
  }
  
  return trie[cur_node];
}


int main() {
  FILE * fin = fopen(filein.c_str(), "r");
  FILE * fout = fopen(fileout.c_str(), "w");
  
  Sc.init(fin);
  N = Sc.nextInt();
  fo (i, 1, N)
    A[i] = Sc.nextInt();
  
  //pair<int, pair<int, int>> sol = mp(-1, mp(-1, -1));
  pii ends;
  result = -1;
  
  add_trie(0, 0);
  
  fo (i, 1, N) {
    pref_xor[i] = pref_xor[i-1] ^ A[i];
    
    debug("i:", i, "A[i]:", A[i], "pref_xor[i]:", pref_xor[i]);
    
    int best_index = search_trie(pref_xor[i]);
    int best_val = pref_xor[i] ^ (pref_xor[best_index]);
      
    if (best_val > result) {
      result = best_val;
      ends = mp(best_index + 1, i);
    }
    
    add_trie(pref_xor[i], i);
  }
  
  debug(result, ends);
  
  fprintf(fout, "%d %d %d", result, ends.fi, ends.se);
  
  return 0;
}