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Submission #628081

# Submission time Handle Problem Language Result Execution time Memory
628081 2022-08-13T04:46:04 Z MarkBcc168 Digital Circuit (IOI22_circuit) C++17
22 / 100
 3000 ms 19736 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long

vector<ll> p_sum(100005,0), w(100005,0);

const ll mod = 1e9+2022;

struct Node{
    Node *l_child, *r_child;
    int l,r, sum; bool lazy;
    Node(){}
    Node(int _l, int _r){
        l = _l; r = _r; sum=0; lazy = false;
        int m = (l+r)/2;
        if(r-l > 1){
            l_child = new Node(l,m);
            r_child = new Node(m,r);
        }
        //cout << l << " " << r << "\n";
    }
    void push(){
        if(!lazy) return;
        if(r-l==1){
            lazy = false;
            sum = w[l] - sum;
        }
        else{
            lazy = false;
            if(l_child->lazy) l_child->push();
            if(r_child->lazy) r_child->push();
            l_child->lazy = true;
            r_child->lazy = true;
            sum = (p_sum[r] - p_sum[l] - sum + 2*mod) % mod;
        }
    }
    void flip(int L, int R){
        push();
        if(R <= l || L >= r) return; //not intersect
        else if(L <= l && r <= R) lazy = true;
        else if(r-l == 1){
            sum = w[l] - sum;
        }
        else{
            l_child->flip(L,R); r_child->flip(L,R);
            l_child->push(); r_child->push();
            sum = ((l_child->sum) + (r_child->sum)) % mod;
        }
    }
    ll query(){
        push(); return sum;
    }
};

ll exp(ll a, ll n){
    if(n==0) return 1;
    if(n==1) return a%mod;
    ll x = exp(a, n/2);
    if(n%2==0) return (x*x)%mod;
    else return (((x*x)%mod)*a)%mod;
} 

const ll p = 2;
const ll q = 223;
const ll r = 2242157;
const ll phi = (p-1)*(q-1)*(r-1);

struct mint{
    int vp, vq; ll n;
    mint(ll _n){
        vp = 0; vq = 0;
        n = _n;
        while(n%p==0){vp++; n/=p;}
        while(n%q==0){vq++; n/=q;}
        n = n%mod;
    }
    mint(int _vp, int _vq, ll _n){
        vp = _vp; vq = _vq; n = _n%mod;
    }
    friend mint operator *(mint a, mint b){
        return mint(a.vp+b.vp, a.vq+b.vq, a.n*b.n);
    }
    mint inv(){
        return mint(-vp, -vq, exp(n,phi-1));
    }
    friend mint operator /(mint a, mint b){
        return a * b.inv();
    }
    ll to_int(){
        assert(vp >= 0 && vq >= 0);
        ll m=n;
        m = (m*exp(p,vp)) % mod;
        m = (m*exp(q,vq)) % mod;
        return m;
    }
};

int n,m;
Node tr(0,100005);

void init(int _n, int _m, std::vector<int> p, std::vector<int> a){
    n = _n; m = _m;
    //step 1: compute degree
    vector<int> adj[n];
    vector<int> d(n,0);
    vector<mint> d_mod(n,1);
    mint prod(1);
    for(int i=1; i<n+m; ++i){
        adj[p[i]].push_back(i);
        d[p[i]]++;
    }
    for(int i=0; i<n; ++i){
        d_mod[i] = mint(d[i]);
        prod = prod * d_mod[i];
    }
    //step 2: dfs to find weight of each leaf
    vector<mint> node_w(n+m, mint(1));
    node_w[0] = prod;

    vector<int> st(1,0);
    while(!st.empty()){
        int v = st[st.size()-1];
        st.pop_back();
        //cout << v << "\n";
        for(int u : adj[v]){
            node_w[u] = node_w[v] / d_mod[v];
            if(u < n) st.push_back(u);
        }
    }
    //step 3: build the tree
    p_sum[0] = 0;
    for(int i=0; i<m; ++i){
        w[i] = node_w[i+n].to_int();
        p_sum[i+1] = (p_sum[i] + w[i]) % mod;
    }
    for(int i=0; i<m; ++i){
        if(a[i] == 1) tr.flip(i,i+1);
    }
}
int count_ways(int l, int r){
    tr.flip(l-n,r-n+1);
    return tr.query();
}


/*int main(){
    for(int i=0; i<100; ++i){
        w[i] = i;
        p_sum[i+1] = p_sum[i] + w[i];
    }
    tr.flip(3,6);
    cout << tr.query() << "\n";
    tr.flip(5,10);
    cout << tr.query() << "\n";
}*/

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11216 KB Output is correct
2 Correct 10 ms 11216 KB Output is correct
3 Correct 10 ms 11312 KB Output is correct
4 Correct 12 ms 11316 KB Output is correct
5 Correct 11 ms 11304 KB Output is correct
6 Correct 10 ms 11316 KB Output is correct
7 Correct 12 ms 11344 KB Output is correct
8 Correct 10 ms 11216 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 11268 KB Output is correct
2 Correct 9 ms 11216 KB Output is correct
3 Correct 9 ms 11284 KB Output is correct
4 Correct 10 ms 11216 KB Output is correct
5 Correct 9 ms 11216 KB Output is correct
6 Correct 9 ms 11344 KB Output is correct
7 Correct 12 ms 11344 KB Output is correct
8 Correct 11 ms 11344 KB Output is correct
9 Correct 10 ms 11308 KB Output is correct
10 Correct 10 ms 11284 KB Output is correct
11 Correct 10 ms 11324 KB Output is correct
12 Correct 9 ms 11344 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11216 KB Output is correct
2 Correct 10 ms 11216 KB Output is correct
3 Correct 10 ms 11312 KB Output is correct
4 Correct 12 ms 11316 KB Output is correct
5 Correct 11 ms 11304 KB Output is correct
6 Correct 10 ms 11316 KB Output is correct
7 Correct 12 ms 11344 KB Output is correct
8 Correct 10 ms 11216 KB Output is correct
9 Correct 12 ms 11268 KB Output is correct
10 Correct 9 ms 11216 KB Output is correct
11 Correct 9 ms 11284 KB Output is correct
12 Correct 10 ms 11216 KB Output is correct
13 Correct 9 ms 11216 KB Output is correct
14 Correct 9 ms 11344 KB Output is correct
15 Correct 12 ms 11344 KB Output is correct
16 Correct 11 ms 11344 KB Output is correct
17 Correct 10 ms 11308 KB Output is correct
18 Correct 10 ms 11284 KB Output is correct
19 Correct 10 ms 11324 KB Output is correct
20 Correct 9 ms 11344 KB Output is correct
21 Correct 11 ms 11344 KB Output is correct
22 Correct 12 ms 11356 KB Output is correct
23 Correct 9 ms 11344 KB Output is correct
24 Correct 9 ms 11344 KB Output is correct
25 Correct 11 ms 11404 KB Output is correct
26 Correct 10 ms 11344 KB Output is correct
27 Correct 9 ms 11344 KB Output is correct
28 Correct 9 ms 11344 KB Output is correct
29 Correct 10 ms 11308 KB Output is correct
30 Correct 9 ms 11216 KB Output is correct
31 Correct 10 ms 11292 KB Output is correct
32 Correct 10 ms 11288 KB Output is correct
33 Correct 9 ms 11344 KB Output is correct
34 Correct 9 ms 11216 KB Output is correct
35 Correct 10 ms 11284 KB Output is correct
36 Correct 14 ms 11344 KB Output is correct
37 Correct 15 ms 11356 KB Output is correct
38 Correct 10 ms 11408 KB Output is correct
39 Correct 9 ms 11312 KB Output is correct
40 Correct 9 ms 11344 KB Output is correct
41 Correct 10 ms 11320 KB Output is correct
42 Correct 10 ms 11216 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 500 ms 15504 KB Output is correct
2 Correct 856 ms 19736 KB Output is correct
3 Correct 939 ms 19724 KB Output is correct
4 Correct 1046 ms 19724 KB Output is correct

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 500 ms 15504 KB Output is correct
2 Correct 856 ms 19736 KB Output is correct
3 Correct 939 ms 19724 KB Output is correct
4 Correct 1046 ms 19724 KB Output is correct
5 Execution timed out 3049 ms 15504 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 11268 KB Output is correct
2 Correct 9 ms 11216 KB Output is correct
3 Correct 9 ms 11284 KB Output is correct
4 Correct 10 ms 11216 KB Output is correct
5 Correct 9 ms 11216 KB Output is correct
6 Correct 9 ms 11344 KB Output is correct
7 Correct 12 ms 11344 KB Output is correct
8 Correct 11 ms 11344 KB Output is correct
9 Correct 10 ms 11308 KB Output is correct
10 Correct 10 ms 11284 KB Output is correct
11 Correct 10 ms 11324 KB Output is correct
12 Correct 9 ms 11344 KB Output is correct
13 Correct 500 ms 15504 KB Output is correct
14 Correct 856 ms 19736 KB Output is correct
15 Correct 939 ms 19724 KB Output is correct
16 Correct 1046 ms 19724 KB Output is correct
17 Execution timed out 3049 ms 15504 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11216 KB Output is correct
2 Correct 10 ms 11216 KB Output is correct
3 Correct 10 ms 11312 KB Output is correct
4 Correct 12 ms 11316 KB Output is correct
5 Correct 11 ms 11304 KB Output is correct
6 Correct 10 ms 11316 KB Output is correct
7 Correct 12 ms 11344 KB Output is correct
8 Correct 10 ms 11216 KB Output is correct
9 Correct 12 ms 11268 KB Output is correct
10 Correct 9 ms 11216 KB Output is correct
11 Correct 9 ms 11284 KB Output is correct
12 Correct 10 ms 11216 KB Output is correct
13 Correct 9 ms 11216 KB Output is correct
14 Correct 9 ms 11344 KB Output is correct
15 Correct 12 ms 11344 KB Output is correct
16 Correct 11 ms 11344 KB Output is correct
17 Correct 10 ms 11308 KB Output is correct
18 Correct 10 ms 11284 KB Output is correct
19 Correct 10 ms 11324 KB Output is correct
20 Correct 9 ms 11344 KB Output is correct
21 Correct 11 ms 11344 KB Output is correct
22 Correct 12 ms 11356 KB Output is correct
23 Correct 9 ms 11344 KB Output is correct
24 Correct 9 ms 11344 KB Output is correct
25 Correct 11 ms 11404 KB Output is correct
26 Correct 10 ms 11344 KB Output is correct
27 Correct 9 ms 11344 KB Output is correct
28 Correct 9 ms 11344 KB Output is correct
29 Correct 10 ms 11308 KB Output is correct
30 Correct 9 ms 11216 KB Output is correct
31 Correct 10 ms 11292 KB Output is correct
32 Correct 10 ms 11288 KB Output is correct
33 Correct 9 ms 11344 KB Output is correct
34 Correct 9 ms 11216 KB Output is correct
35 Correct 10 ms 11284 KB Output is correct
36 Correct 14 ms 11344 KB Output is correct
37 Correct 15 ms 11356 KB Output is correct
38 Correct 10 ms 11408 KB Output is correct
39 Correct 9 ms 11312 KB Output is correct
40 Correct 9 ms 11344 KB Output is correct
41 Correct 10 ms 11320 KB Output is correct
42 Correct 10 ms 11216 KB Output is correct
43 Correct 1411 ms 11632 KB Output is correct
44 Correct 1856 ms 11736 KB Output is correct
45 Correct 2025 ms 11668 KB Output is correct
46 Correct 818 ms 11876 KB Output is correct
47 Execution timed out 3045 ms 11856 KB Time limit exceeded
48 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11216 KB Output is correct
2 Correct 10 ms 11216 KB Output is correct
3 Correct 10 ms 11312 KB Output is correct
4 Correct 12 ms 11316 KB Output is correct
5 Correct 11 ms 11304 KB Output is correct
6 Correct 10 ms 11316 KB Output is correct
7 Correct 12 ms 11344 KB Output is correct
8 Correct 10 ms 11216 KB Output is correct
9 Correct 12 ms 11268 KB Output is correct
10 Correct 9 ms 11216 KB Output is correct
11 Correct 9 ms 11284 KB Output is correct
12 Correct 10 ms 11216 KB Output is correct
13 Correct 9 ms 11216 KB Output is correct
14 Correct 9 ms 11344 KB Output is correct
15 Correct 12 ms 11344 KB Output is correct
16 Correct 11 ms 11344 KB Output is correct
17 Correct 10 ms 11308 KB Output is correct
18 Correct 10 ms 11284 KB Output is correct
19 Correct 10 ms 11324 KB Output is correct
20 Correct 9 ms 11344 KB Output is correct
21 Correct 11 ms 11344 KB Output is correct
22 Correct 12 ms 11356 KB Output is correct
23 Correct 9 ms 11344 KB Output is correct
24 Correct 9 ms 11344 KB Output is correct
25 Correct 11 ms 11404 KB Output is correct
26 Correct 10 ms 11344 KB Output is correct
27 Correct 9 ms 11344 KB Output is correct
28 Correct 9 ms 11344 KB Output is correct
29 Correct 10 ms 11308 KB Output is correct
30 Correct 9 ms 11216 KB Output is correct
31 Correct 10 ms 11292 KB Output is correct
32 Correct 10 ms 11288 KB Output is correct
33 Correct 9 ms 11344 KB Output is correct
34 Correct 9 ms 11216 KB Output is correct
35 Correct 10 ms 11284 KB Output is correct
36 Correct 14 ms 11344 KB Output is correct
37 Correct 15 ms 11356 KB Output is correct
38 Correct 10 ms 11408 KB Output is correct
39 Correct 9 ms 11312 KB Output is correct
40 Correct 9 ms 11344 KB Output is correct
41 Correct 10 ms 11320 KB Output is correct
42 Correct 10 ms 11216 KB Output is correct
43 Correct 500 ms 15504 KB Output is correct
44 Correct 856 ms 19736 KB Output is correct
45 Correct 939 ms 19724 KB Output is correct
46 Correct 1046 ms 19724 KB Output is correct
47 Execution timed out 3049 ms 15504 KB Time limit exceeded
48 Halted 0 ms 0 KB -