Submission #964822

#	Time	Username	Problem	Language	Result	Execution time	Memory
964822		steveonalex	Digital Circuit (IOI22_circuit)	C++17	100 / 100	735 ms	31984 KiB

circuit

#include <bits/stdc++.h>
#include "circuit.h"

using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
 
#define ALL(v) (v).begin(), (v).end()
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
 
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return ((ull) rng()) % (r - l + 1) + l;}
 
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
 
ll LASTBIT(ll mask){return mask & (-mask);}
ll pop_cnt(ll mask){return __builtin_popcountll(mask);}
ll ctz(ll mask){return __builtin_ctzll(mask);}
ll clz(ll mask){return __builtin_clzll(mask);}
ll logOf(ll mask){return 63 - clz(mask);}
 
template <class T1, class T2>
    bool minimize(T1 &a, T2 b){
        if (a > b){a = b; return true;}
        return false;
    }
template <class T1, class T2>
    bool maximize(T1 &a, T2 b){
        if (a < b){a = b; return true;}
        return false;
    }
template <class T>
    void printArr(T& a, string separator = " ", string finish = "\n", ostream& out = cout){
        for(auto i: a) out << i << separator;
        out << finish;
    }
template <class T>
    void remove_dup(vector<T> &a){
        sort(ALL(a));
        a.resize(unique(ALL(a)) - a.begin());
    }

const int N = 2e5 + 69, MOD = 1e9 + 2022;

void add(int &a, int b){
    a += b;
    if (a >= MOD) a -= MOD;
}

void sub(int &a, int b){
    a -= b;
    if (a < 0) a += MOD;
}

int n, m;
vector<int> graph[N];
int prod[N], val[N];

void dfs(int u, int p){
    if (u >= n) return;
    prod[u] = graph[u].size();
    for(int v: graph[u]) if (v != p){
        dfs(v, u);
        prod[u] = 1LL * prod[u] * prod[v] % MOD;
    }
}

void go(int u, int p, int odd){
    if (u >= n){
        val[u] = odd;
        return;
    }
    vector<int> pref(graph[u].size() + 1, 1), suff(graph[u].size() + 1, 1);
    for(int i = 0; i<graph[u].size(); ++i){
        pref[i+1] = 1LL * pref[i] * prod[graph[u][i]] % MOD;
    }
    for(int i = graph[u].size() - 1; i>=0; --i){
        suff[i] = 1LL * suff[i+1] * prod[graph[u][i]] % MOD;
    }
    for(int i = 0; i<graph[u].size(); ++i){
        int cur = 1LL * pref[i] * suff[i+1] % MOD;
        go(graph[u][i], u, 1LL * odd * cur % MOD);
    }
}

struct SegmentTree{
    struct Node{
        int sum, cur, lazy;
        Node(){sum = cur = lazy = 0;}
    };

    int n;
    vector<Node> a;
    SegmentTree(int _n, vector<int> b){
        n = _n;
        if (n == 0) return;
        a.resize(n * 4 + 4);
        build_tree(0, n-1, 1, b);
    }

    Node combine(Node x, Node y){
        Node ans = x;
        add(ans.sum, y.sum);
        add(ans.cur, y.cur);
        ans.lazy = 0;
        return ans;
    }

    void flip(Node &x){
        x.lazy ^= 1;
        x.cur = x.sum-x.cur;
        if (x.cur < 0) x.cur += MOD;
    }

    void build_tree(int l, int r, int id, vector<int> &b){
        if (l == r){a[id].sum = b[l]; return;}
        int mid = (l + r) >> 1;
        build_tree(l, mid, id * 2, b);
        build_tree(mid + 1, r, id * 2 + 1, b);
        a[id] = combine(a[id * 2], a[id * 2 + 1]);
    }

    void down(int id){
        if (a[id].lazy){
            flip(a[id * 2]);
            flip(a[id * 2 + 1]);
            a[id].lazy = 1;
        }
    }

    void update(int u, int v, int l, int r, int id){
        if (u <= l && r <= v){
            flip(a[id]);
            return;
        }
        int mid = (l + r) >> 1;
        if (a[id].lazy) down(id);
        if (u <= mid) update(u, v, l, mid, id * 2);
        if (v > mid) update(u, v, mid + 1, r, id * 2 + 1); 
        a[id] = combine(a[id * 2], a[id * 2 + 1]);
    }
    void update(int u, int v){return update(u, v, 0, n-1, 1);}

    int get(){return a[1].cur;}
};

SegmentTree st(0, vector<int>(0));

void init(int _n, int _m, vector<int> P, vector<int> A) {
    n = _n, m = _m;
    for(int i = 1; i<n+m; ++i){
        graph[P[i]].push_back(i);
    }

    for(int i = 0; i<m; ++i){
        prod[i+n] = 1;
    }

    dfs(0, 0);
    go(0, 0, 1);

    vector<int> b;
    for(int i = n; i<n+m; ++i) b.push_back(val[i]);
    st = SegmentTree(m, b);
    for(int i =0; i<m; ++i) if (A[i]) {
        st.update(i, i);
    }
}   


int count_ways(int l, int r) {
    l -= n; r -= n;
    st.update(l, r);
    return st.get();
}


// int main(void){
//     ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

//     int n, m; cin >> n >> m;
//     vector<int> P(n+m, -1);
//     for(int i = 1; i<n+m; ++i) cin >> P[i];
//     vector<int> A(m); 
//     for(int i = 0; i<m; ++i) cin >> A[i];

//     init(n, m, P, A);
//     int q; cin >> q;
//     while(q--){
//         int l, r; cin >> l >> r;
//         cout << count_ways(l, r) << "\n";
//     }


//     return 0;
// }

Compilation message (stderr)

circuit.cpp: In function 'void go(int, int, int)':
circuit.cpp:78:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |     for(int i = 0; i<graph[u].size(); ++i){
      |                    ~^~~~~~~~~~~~~~~~
circuit.cpp:84:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   84 |     for(int i = 0; i<graph[u].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