Submission #771176

#	Time	Username	Problem	Language	Result	Execution time	Memory
771176		Sam_a17	Crossing (JOI21_crossing)	C++17	100 / 100	641 ms	36764 KiB

Main

#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#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 __builtin_popcount
 
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long

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;}

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
 
// Indexed Set  
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

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(vector <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> void print(Tree <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 << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
 

// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
 
// 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 == "input") {
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
  } else if(str != "") {
    freopen((str + ".in").c_str(), "r", stdin);
    freopen((str + ".out").c_str(), "w", stdout);
  }
}
const long long mod = 1e9 + 7;


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

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

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


const int N = 2e5 + 10;
int n;
string s[3];

long long hi1[4][N];
long long hi2[4][N];

long long h1[N], h2[N];
long long pw1[N], pw2[N];
 

struct segTree {
  struct node {
    pair<long long, long long> value;
    int sz;
    long long  lazy;
  };
  vector<node> tree;
  int size = 1;
 
  void propagate(int x, int lx, int rx) {
    if(rx - lx == 1 || tree[x].lazy == -1) {
      return;
    }
 
    int mid = (lx + rx) / 2;
    tree[2 * x + 1].lazy = tree[x].lazy;
    int sz = tree[2 * x + 1].sz;
    tree[2 * x + 1].value = {hi1[tree[x].lazy][sz], hi2[tree[x].lazy][sz]};
 
    tree[2 * x + 2].lazy = tree[x].lazy;
    sz = tree[2 * x + 2].sz;
    tree[2 * x + 2].value = {hi1[tree[x].lazy][sz], hi2[tree[x].lazy][sz]};
 
    tree[x].lazy = -1;
  }

  node merge(node a, node b) {
    auto first = a;
    auto second = b;
    int sz2 = a.sz;

    second.value.first = mult(second.value.first, pw1[sz2]);
    second.value.second = mult(second.value.second, pw2[sz2]);
    
    first.value.first = add(first.value.first, second.value.first);
    first.value.second = add(first.value.second, second.value.second);

    first.sz += second.sz;

    first.lazy = -1;
    return first;
  }
  
  void build(int x, int lx, int rx, string& str) {
    tree[x].sz = rx - lx;

    if(rx - lx == 1) {
      if(lx < n) {
        tree[x].value = {str[lx] - 'a' + 1, str[lx] - 'a' + 1};
        tree[x].lazy = -1;
      }
    } else {
      int mid = (lx + rx) / 2;
      build(2 * x + 1, lx, mid, str);
      build(2 * x + 2, mid, rx, str);

      tree[x] = merge(tree[2 * x + 1], tree[2 * x + 2]);
    }
  }

  void init(long long s, string& str) {
    while(size < s) {
      size *= 2;
    }
    tree.assign(2 * size - 1, {{0, 0}, 0, -1});
    build(0, 0, size, str);
  }
 
  void upd(int l, int r, long long value, int x, int lx, int rx) {
    propagate(x, lx, rx);
    if(lx >= r || rx <= l) {
      return;
    }
 
    if(lx >= l && rx <= r) {
      int sz = tree[x].sz;
      tree[x].value = {hi1[value][sz], hi2[value][sz]};
      tree[x].lazy = value;
      propagate(x, lx, rx);
      return;
    }
 
    int mid = (lx + rx) / 2;
    upd(l, r, value, 2 * x + 1, lx, mid);
    upd(l, r, value, 2 * x + 2, mid, rx);
    
    // dbg(tree[2 * x + 1].value)
    // dbg(tree[2 * x + 2].value)
    tree[x] = merge(tree[2 * x + 1], tree[2 * x + 2]);
  }
 
  void upd(int l, int r, long long value) {
    upd(l, r, value, 0, 0, size);
  }
 
  node qry(int l, int r, int x, int lx, int rx) {
    propagate(x, lx, rx);
    if(lx >= r || rx <= l) {
      return {{0, 0}, 0, -1};
    }
 
    if(lx >= l && rx <= r) {
      return tree[x];
    }
 
    int mid = (lx + rx) / 2;
    node s1 = qry(l, r, 2 * x + 1, lx, mid);
    node s2 = qry(l, r, 2 * x + 2, mid, rx);
 
    return merge(s1, s2);
  }
 
  node qry(int l, int r) {
    return qry(l, r, 0, 0, size);
  }
};
segTree seg;

set<string> all;

long long compute1(int l, int r) {
  return (h1[l] - (pw1[r - l + 1] * h1[r + 1]) % mod + mod) % mod;
}
 
long long compute2(int l, int r) {
  return (h2[l] - (pw2[r - l + 1] * h2[r + 1]) % mod + mod) % mod;
}

string cross(string &a, string &b) {
  string res = "";
  for(int i = 0; i < n; i++) {
    if(a[i] == b[i]) {
      res += a[i];
    } else {
      set<char> st;
      
      st.insert('a');
      st.insert('b');
      st.insert('c');

      st.erase(a[i]);
      st.erase(b[i]);
      res += *st.begin();
    }
  }

  return res;
}


pair<long long, long long> compute_hsh(string cur) {
  vector<long long> hu1(n + 2, 0);
  vector<long long> hu2(n + 2, 0);
  for(int i = n - 1; i >= 0; i--) {
    hu1[i] = ((hu1[i + 1] * 53) % mod + cur[i] - 'a' + 1) % mod; 
    hu2[i] = ((hu2[i + 1] * 31) % mod + cur[i] - 'a' + 1) % mod; 
  }
  return {hu1[0], hu2[0]};
}


void solve_() {
  cin >> n;

  for(int i = 0; i < 3; i++) {
    cin >> s[i];
    for(int j = 0; j < n; j++) {
      if(s[i][j] == 'J') {
        s[i][j] = 'a';
      } else if(s[i][j] == 'O') {
        s[i][j] = 'b';
      } else {
        s[i][j] = 'c';
      }
    }
  }

  pw1[0] = pw2[0] = 1;
  for(int i = 1; i <= n; i++) {
    pw1[i] = (pw1[i - 1] * 53) % mod;
    pw2[i] = (pw2[i - 1] * 31) % mod; 
  }

  for(int i = 1; i <= 3; i++) {
    hi1[i][1] = i;
    hi2[i][1] = i;
    for(int j = 2; j <= n; j++) {
      hi1[i][j] = add(hi1[i][j - 1], mult(i, pw1[j - 1]));
      hi2[i][j] = add(hi2[i][j - 1], mult(i, pw2[j - 1]));
    }
  }


  set<string> st_all;
  for(int mask = 1; mask < (1 << 3); mask++) {
    vector<int> ind;
    for(int i = 0; i < 3; i++) {
      if(mask & (1 << i)) {
        ind.push_back(i);
      }
    }

    do {
      string si = s[ind[0]];
      for(int i = 1; i < sz(ind); i++) {
        si = cross(si, s[ind[i]]);
      }
      st_all.insert(si);
    } while(next_permutation(all(ind)));
  }

  set<pair<long long, long long>> all_hashis;
  for(auto i: st_all) {
    all_hashis.insert(compute_hsh(i));
  }

  int q; cin >> q;

  string k; cin >> k;

  for(int i = 0; i < n; i++) {
    if(k[i] == 'J') k[i] = 'a';
    if(k[i] == 'O') k[i] = 'b';
    if(k[i] == 'I') k[i] = 'c';
  }
  seg.init(n + 2, k);
  
  auto currr = seg.tree[0].value;
  if(all_hashis.find(currr) != all_hashis.end()) {
    cout << "Yes" << '\n';
  } else {
    cout << "No" << '\n';
  }

  while(q--) {
    int l, r;
    char ch;
    cin >> l >> r >> ch;
    l--, r--;

    if(ch == 'J') {
      seg.upd(l, r + 1, 1);
    } else if(ch == 'O') {
      seg.upd(l, r + 1, 2);
    } else {
      seg.upd(l, r + 1, 3);
    }

    auto currr = seg.tree[0].value;
    if(all_hashis.find(currr) != all_hashis.end()) {
      cout << "Yes" << '\n';
    } else {
      cout << "No" << '\n';
    }
  }
}

int main() {
  setIO();

  auto solve = [&](int test_case)-> void {
    for(int i = 1; i <= test_case; i++) {
      solve_();
    }
  };
 
  int test_cases = 1;
  // cin >> test_cases;
  solve(test_cases);
 
  return 0;
} 

Compilation message (stderr)

Main.cpp: In member function 'void segTree::propagate(int, int, int)':
Main.cpp:124:9: warning: unused variable 'mid' [-Wunused-variable]
  124 |     int mid = (lx + rx) / 2;
      |         ^~~
Main.cpp: In function 'void setIO(std::string)':
Main.cpp:76:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   76 |     freopen("input.txt", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:77:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   77 |     freopen("output.txt", "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:79:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   79 |     freopen((str + ".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:80:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   80 |     freopen((str + ".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 3 / 3
• Subtask 2: 23 / 23
• Subtask 3: 23 / 23
• Subtask 4: 51 / 51