Submission #945044

#	Time	Username	Problem	Language	Result	Execution time	Memory
945044		abczz	Digital Circuit (IOI22_circuit)	C++17	100 / 100	709 ms	40000 KiB

circuit

#include "circuit.h"
#include <iostream>
#include <vector>
#include <array>
#define ll long long

using namespace std;

vector <ll> adj[200000];
bool B[200000];
array<ll, 2> st[400000];
bool lazy[400000];
ll n, m, sz[200000], X[200000], M = 1e9 + 2022;
void dfs(ll u) {
  sz[u] = adj[u].size();
  for (auto v : adj[u]) {
    dfs(v);
    sz[u] *= sz[v];
    sz[u] %= M;
  }
  if (!sz[u]) sz[u] = 1;
}
void solve(ll u, ll w) {
  X[u] = w;
  vector <ll> pref, suf;
  pref.resize(adj[u].size());
  suf.resize(adj[u].size());
  for (int i=0; i<adj[u].size(); ++i) {
    pref[i] = sz[adj[u][i]];
    if (i) {
      pref[i] *= pref[i-1];
      pref[i] %= M;
    }
  }
  for (int i=adj[u].size()-1; i>=0; --i) {
    suf[i] = sz[adj[u][i]];
    if (i != adj[u].size()-1) {
      suf[i] *= suf[i+1];
      suf[i] %= M;
    }
  }
  for (int i=0; i<adj[u].size(); ++i) {
    solve(adj[u][i], (w * (((i ? pref[i-1] : 1) * (i != adj[u].size()-1 ? suf[i+1] : 1)) % M))%M);
  }
}

void build(ll id, ll l, ll r) {
  if (l == r) {
    st[id] = {X[l], 0};
    if (B[l]) swap(st[id][0], st[id][1]);
    return;
  }
  ll mid = (l+r)/2;
  build(id*2, l, mid);
  build(id*2+1, mid+1, r);
  st[id][0] = st[id*2][0] + st[id*2+1][0];
  st[id][1] = st[id*2][1] + st[id*2+1][1];
  st[id][0] %= M;
  st[id][1] %= M;
}

void push(ll id) {
  if (lazy[id]) {
    lazy[id*2] ^= 1;
    lazy[id*2+1] ^= 1;
    swap(st[id*2][0], st[id*2][1]);
    swap(st[id*2+1][0], st[id*2+1][1]);
    lazy[id] = 0;
  }
}

void update(ll id, ll l, ll r, ll ql, ll qr) {
  if (qr < l || r < ql) return;
  else if (ql <= l && r <= qr) {
    lazy[id] ^= 1;
    swap(st[id][0], st[id][1]);
    return;
  }
  ll mid = (l+r)/2;
  push(id);
  update(id*2, l, mid, ql, qr);
  update(id*2+1, mid+1, r, ql, qr);
  st[id][0] = st[id*2][0] + st[id*2+1][0];
  st[id][1] = st[id*2][1] + st[id*2+1][1];
  st[id][0] %= M;
  st[id][1] %= M;
}

void init(int N, int M, std::vector<int> P, std::vector<int> A) {
  n = N, m = M;
  for (int i=N; i<N+M; ++i) {
    B[i] = A[i-N];
  }
  for (int i=1; i<P.size(); ++i) {
    adj[P[i]].push_back(i);
  }
  dfs(0);
  solve(0, 1);
  build(1, n, n+m-1);
}

int count_ways(int L, int R) {
  update(1, n, n+m-1, L, R);
  return st[1][1];
}

Compilation message (stderr)

circuit.cpp: In function 'void solve(long long int, long long int)':
circuit.cpp:28:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |   for (int i=0; i<adj[u].size(); ++i) {
      |                 ~^~~~~~~~~~~~~~
circuit.cpp:37:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   37 |     if (i != adj[u].size()-1) {
      |         ~~^~~~~~~~~~~~~~~~~~
circuit.cpp:42:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |   for (int i=0; i<adj[u].size(); ++i) {
      |                 ~^~~~~~~~~~~~~~
circuit.cpp:43:54: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |     solve(adj[u][i], (w * (((i ? pref[i-1] : 1) * (i != adj[u].size()-1 ? suf[i+1] : 1)) % M))%M);
      |                                                    ~~^~~~~~~~~~~~~~~~~~
circuit.cpp: In function 'void init(int, int, std::vector<int>, std::vector<int>)':
circuit.cpp:94:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 |   for (int i=1; i<P.size(); ++i) {
      |                 ~^~~~~~~~~

• Subtask 1: 2 / 2
• Subtask 2: 7 / 7
• Subtask 3: 9 / 9
• Subtask 4: 4 / 4
• Subtask 5: 12 / 12
• Subtask 6: 27 / 27
• Subtask 7: 28 / 28
• Subtask 8: 11 / 11