Submission #826369

#	Time	Username	Problem	Language	Result	Execution time	Memory
826369		Sam_a17	Fibonacci representations (CEOI18_fib)	C++17	50 / 100	2 ms	588 KiB

fib

#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
// #include "B.cpp"
// #include "trilib.h"
#include <cstdio>
using namespace std;

#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif

#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt(x) __builtin_popcount(x)

#define pb push_back
#define popf pop_front
#define popb pop_back

void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}

template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'

// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};

// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
  fastIO();

  if (str != "") {
    freopen((str + ".in").c_str(), "r", stdin);
    freopen((str + ".out").c_str(), "w", stdout);
  }
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

const long long mod = 1e9 + 7;
long long fib[2005], a[2005];
long long dp[105][2];

map<long long, long long> cnt;

long long add(long long a, long long b) {
  return (a + b) % mod;
}

long long mult(long long a, long long b) {
  return (a * b) % mod;
}

long long sub(long long a, long long b) {
  return (a - b + 2 * mod) % mod;
}

set<long long> st{0};

void add(long long x) {
  cnt[x]++;
  st.insert(x);

  if(cnt[x] == 2) {
    cnt[x] = 0;
    st.erase(x);
    add(x + 1);
    if(x > 2) add(x - 2);
    else if(x == 2) add(x - 1);
    return;
  }

  if(cnt[x + 1]) {
    st.erase(x);
    cnt[x] = 0;
    
    st.erase(x + 1);
    cnt[x + 1]--;

    add(x + 2);
    return;
  }

  if(cnt[x - 1]) {
    st.erase(x);
    cnt[x] = 0;

    st.erase(x - 1);
    cnt[x - 1]--;
    add(x + 1);
    return;
  }
}

void solve_() {
  int n; cin >> n;
  long long max_n = 0;
  for(int i = 1; i <= n; i++) {
    cin >> a[i];
    max_n = max(max_n,  a[i]);
  }

  for(int i = 1; i <= n; i++) {
    add(a[i]);
    vector<int> all;
    all.push_back(0);
    for(auto i: st) {
      all.push_back(i);
    }

    dp[0][1] = 1;
    // sort(all(all));
    long long lst = 0, pat = 1;
    for(int j = 1; j < sz(all); j++) {
      //
      dp[j][1] = add(dp[j - 1][0], dp[j - 1][1]);
      dp[j][0] = 0;

      for(int k = j - 1; j >= 0; k--) {
        if(k == j - 1) {
          long long cnt = (all[j] - all[k] - 1) / 2;
          dp[j][0] = add(dp[j][0], mult(add(dp[k][1], dp[k][0]), cnt));
        } else {
          dp[j][0] = add(dp[j][0], dp[k + 1][0]);
          break;
        }

        if(all[k] % 2 != all[j] % 2) {
          break;
        }
      }
    }

    cout << add(dp[sz(all) - 1][0], dp[sz(all) - 1][1]) << '\n';
  }
}
  
int main() {
  fastIO();

  fib[0] = fib[1] = 1;
  for(int i = 2; i <= 105; i++) {
    fib[i] = fib[i - 1] + fib[i - 2];
  }

  auto solve = [&](int test_case)-> void {
    while(test_case--) {
      solve_();
    }
  };

  int test_cases = 1;
  // cin >> test_cases;
  solve(test_cases);

  return 0;
} 

Compilation message (stderr)

fib.cpp: In function 'void solve_()':
fib.cpp:146:15: warning: unused variable 'lst' [-Wunused-variable]
  146 |     long long lst = 0, pat = 1;
      |               ^~~
fib.cpp:146:24: warning: unused variable 'pat' [-Wunused-variable]
  146 |     long long lst = 0, pat = 1;
      |                        ^~~
fib.cpp: In function 'void setIO(std::string)':
fib.cpp:66:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   66 |     freopen((str + ".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
fib.cpp:67:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   67 |     freopen((str + ".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 5 / 5
• Subtask 2: 20 / 20
• Subtask 3: 15 / 15
• Subtask 4: 10 / 10
• Subtask 5: 0 / 15
• Subtask 6: 0 / 35