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Submission #628102

# Submission time Handle Problem Language Result Execution time Memory
628102 2022-08-13T05:02:03 Z MarkBcc168 Digital Circuit (IOI22_circuit) C++17
100 / 100
 1124 ms 24776 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; ll 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;
            l_child->flip(l,r);
            r_child->flip(l,r);
        }
    }
    void flip(int L, int R){
        if(R <= l || L >= r) return; //not intersect
        else if(r-l == 1){
            sum = w[l] - sum;
        }
        else if(L <= l && r <= R){ //completely within
            lazy = !lazy;
            sum = (p_sum[r] - p_sum[l] - sum + 2*mod);
            while(sum >= mod) sum -= mod;
        }
        else{
            push();
            l_child->flip(L,R); r_child->flip(L,R);
            sum = ((l_child->sum) + (r_child->sum));
            if(sum >= mod) 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]);
        if(p_sum[i+1] >= mod) p_sum[i+1] -= 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 8 ms 11216 KB Output is correct
3 Correct 9 ms 11216 KB Output is correct
4 Correct 11 ms 11280 KB Output is correct
5 Correct 9 ms 11272 KB Output is correct
6 Correct 10 ms 11292 KB Output is correct
7 Correct 9 ms 11312 KB Output is correct
8 Correct 10 ms 11304 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 11276 KB Output is correct
2 Correct 9 ms 11216 KB Output is correct
3 Correct 9 ms 11328 KB Output is correct
4 Correct 9 ms 11216 KB Output is correct
5 Correct 9 ms 11304 KB Output is correct
6 Correct 9 ms 11344 KB Output is correct
7 Correct 10 ms 11344 KB Output is correct
8 Correct 9 ms 11344 KB Output is correct
9 Correct 9 ms 11344 KB Output is correct
10 Correct 10 ms 11344 KB Output is correct
11 Correct 10 ms 11344 KB Output is correct
12 Correct 10 ms 11376 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 8 ms 11216 KB Output is correct
3 Correct 9 ms 11216 KB Output is correct
4 Correct 11 ms 11280 KB Output is correct
5 Correct 9 ms 11272 KB Output is correct
6 Correct 10 ms 11292 KB Output is correct
7 Correct 9 ms 11312 KB Output is correct
8 Correct 10 ms 11304 KB Output is correct
9 Correct 10 ms 11276 KB Output is correct
10 Correct 9 ms 11216 KB Output is correct
11 Correct 9 ms 11328 KB Output is correct
12 Correct 9 ms 11216 KB Output is correct
13 Correct 9 ms 11304 KB Output is correct
14 Correct 9 ms 11344 KB Output is correct
15 Correct 10 ms 11344 KB Output is correct
16 Correct 9 ms 11344 KB Output is correct
17 Correct 9 ms 11344 KB Output is correct
18 Correct 10 ms 11344 KB Output is correct
19 Correct 10 ms 11344 KB Output is correct
20 Correct 10 ms 11376 KB Output is correct
21 Correct 9 ms 11344 KB Output is correct
22 Correct 9 ms 11268 KB Output is correct
23 Correct 9 ms 11344 KB Output is correct
24 Correct 9 ms 11344 KB Output is correct
25 Correct 9 ms 11344 KB Output is correct
26 Correct 10 ms 11344 KB Output is correct
27 Correct 10 ms 11344 KB Output is correct
28 Correct 10 ms 11344 KB Output is correct
29 Correct 9 ms 11232 KB Output is correct
30 Correct 9 ms 11216 KB Output is correct
31 Correct 9 ms 11372 KB Output is correct
32 Correct 9 ms 11344 KB Output is correct
33 Correct 9 ms 11252 KB Output is correct
34 Correct 9 ms 11216 KB Output is correct
35 Correct 9 ms 11216 KB Output is correct
36 Correct 10 ms 11344 KB Output is correct
37 Correct 13 ms 11344 KB Output is correct
38 Correct 9 ms 11344 KB Output is correct
39 Correct 9 ms 11268 KB Output is correct
40 Correct 12 ms 11348 KB Output is correct
41 Correct 10 ms 11216 KB Output is correct
42 Correct 9 ms 11272 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 653 ms 15440 KB Output is correct
2 Correct 1002 ms 19732 KB Output is correct
3 Correct 883 ms 19668 KB Output is correct
4 Correct 992 ms 19720 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 653 ms 15440 KB Output is correct
2 Correct 1002 ms 19732 KB Output is correct
3 Correct 883 ms 19668 KB Output is correct
4 Correct 992 ms 19720 KB Output is correct
5 Correct 806 ms 15496 KB Output is correct
6 Correct 1045 ms 19704 KB Output is correct
7 Correct 939 ms 19724 KB Output is correct
8 Correct 950 ms 19736 KB Output is correct
9 Correct 484 ms 11508 KB Output is correct
10 Correct 764 ms 11728 KB Output is correct
11 Correct 838 ms 11728 KB Output is correct
12 Correct 850 ms 11728 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 11276 KB Output is correct
2 Correct 9 ms 11216 KB Output is correct
3 Correct 9 ms 11328 KB Output is correct
4 Correct 9 ms 11216 KB Output is correct
5 Correct 9 ms 11304 KB Output is correct
6 Correct 9 ms 11344 KB Output is correct
7 Correct 10 ms 11344 KB Output is correct
8 Correct 9 ms 11344 KB Output is correct
9 Correct 9 ms 11344 KB Output is correct
10 Correct 10 ms 11344 KB Output is correct
11 Correct 10 ms 11344 KB Output is correct
12 Correct 10 ms 11376 KB Output is correct
13 Correct 653 ms 15440 KB Output is correct
14 Correct 1002 ms 19732 KB Output is correct
15 Correct 883 ms 19668 KB Output is correct
16 Correct 992 ms 19720 KB Output is correct
17 Correct 806 ms 15496 KB Output is correct
18 Correct 1045 ms 19704 KB Output is correct
19 Correct 939 ms 19724 KB Output is correct
20 Correct 950 ms 19736 KB Output is correct
21 Correct 484 ms 11508 KB Output is correct
22 Correct 764 ms 11728 KB Output is correct
23 Correct 838 ms 11728 KB Output is correct
24 Correct 850 ms 11728 KB Output is correct
25 Correct 1057 ms 23940 KB Output is correct
26 Correct 1124 ms 24064 KB Output is correct
27 Correct 1059 ms 24180 KB Output is correct
28 Correct 910 ms 24176 KB Output is correct
29 Correct 1006 ms 24296 KB Output is correct
30 Correct 913 ms 24056 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11216 KB Output is correct
2 Correct 8 ms 11216 KB Output is correct
3 Correct 9 ms 11216 KB Output is correct
4 Correct 11 ms 11280 KB Output is correct
5 Correct 9 ms 11272 KB Output is correct
6 Correct 10 ms 11292 KB Output is correct
7 Correct 9 ms 11312 KB Output is correct
8 Correct 10 ms 11304 KB Output is correct
9 Correct 10 ms 11276 KB Output is correct
10 Correct 9 ms 11216 KB Output is correct
11 Correct 9 ms 11328 KB Output is correct
12 Correct 9 ms 11216 KB Output is correct
13 Correct 9 ms 11304 KB Output is correct
14 Correct 9 ms 11344 KB Output is correct
15 Correct 10 ms 11344 KB Output is correct
16 Correct 9 ms 11344 KB Output is correct
17 Correct 9 ms 11344 KB Output is correct
18 Correct 10 ms 11344 KB Output is correct
19 Correct 10 ms 11344 KB Output is correct
20 Correct 10 ms 11376 KB Output is correct
21 Correct 9 ms 11344 KB Output is correct
22 Correct 9 ms 11268 KB Output is correct
23 Correct 9 ms 11344 KB Output is correct
24 Correct 9 ms 11344 KB Output is correct
25 Correct 9 ms 11344 KB Output is correct
26 Correct 10 ms 11344 KB Output is correct
27 Correct 10 ms 11344 KB Output is correct
28 Correct 10 ms 11344 KB Output is correct
29 Correct 9 ms 11232 KB Output is correct
30 Correct 9 ms 11216 KB Output is correct
31 Correct 9 ms 11372 KB Output is correct
32 Correct 9 ms 11344 KB Output is correct
33 Correct 9 ms 11252 KB Output is correct
34 Correct 9 ms 11216 KB Output is correct
35 Correct 9 ms 11216 KB Output is correct
36 Correct 10 ms 11344 KB Output is correct
37 Correct 13 ms 11344 KB Output is correct
38 Correct 9 ms 11344 KB Output is correct
39 Correct 9 ms 11268 KB Output is correct
40 Correct 12 ms 11348 KB Output is correct
41 Correct 10 ms 11216 KB Output is correct
42 Correct 9 ms 11272 KB Output is correct
43 Correct 668 ms 11628 KB Output is correct
44 Correct 876 ms 11740 KB Output is correct
45 Correct 710 ms 11672 KB Output is correct
46 Correct 872 ms 11820 KB Output is correct
47 Correct 906 ms 11856 KB Output is correct
48 Correct 730 ms 11856 KB Output is correct
49 Correct 748 ms 11856 KB Output is correct
50 Correct 876 ms 11796 KB Output is correct
51 Correct 757 ms 11472 KB Output is correct
52 Correct 565 ms 11472 KB Output is correct
53 Correct 615 ms 11748 KB Output is correct
54 Correct 917 ms 11856 KB Output is correct
55 Correct 846 ms 11660 KB Output is correct
56 Correct 933 ms 11584 KB Output is correct
57 Correct 803 ms 11436 KB Output is correct
58 Correct 694 ms 11856 KB Output is correct
59 Correct 911 ms 11856 KB Output is correct
60 Correct 892 ms 11856 KB Output is correct
61 Correct 837 ms 11736 KB Output is correct
62 Correct 885 ms 11592 KB Output is correct
63 Correct 773 ms 11516 KB Output is correct
64 Correct 876 ms 11464 KB Output is correct
65 Correct 460 ms 11516 KB Output is correct
66 Correct 882 ms 11728 KB Output is correct
67 Correct 851 ms 11728 KB Output is correct
68 Correct 691 ms 11728 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 11216 KB Output is correct
2 Correct 8 ms 11216 KB Output is correct
3 Correct 9 ms 11216 KB Output is correct
4 Correct 11 ms 11280 KB Output is correct
5 Correct 9 ms 11272 KB Output is correct
6 Correct 10 ms 11292 KB Output is correct
7 Correct 9 ms 11312 KB Output is correct
8 Correct 10 ms 11304 KB Output is correct
9 Correct 10 ms 11276 KB Output is correct
10 Correct 9 ms 11216 KB Output is correct
11 Correct 9 ms 11328 KB Output is correct
12 Correct 9 ms 11216 KB Output is correct
13 Correct 9 ms 11304 KB Output is correct
14 Correct 9 ms 11344 KB Output is correct
15 Correct 10 ms 11344 KB Output is correct
16 Correct 9 ms 11344 KB Output is correct
17 Correct 9 ms 11344 KB Output is correct
18 Correct 10 ms 11344 KB Output is correct
19 Correct 10 ms 11344 KB Output is correct
20 Correct 10 ms 11376 KB Output is correct
21 Correct 9 ms 11344 KB Output is correct
22 Correct 9 ms 11268 KB Output is correct
23 Correct 9 ms 11344 KB Output is correct
24 Correct 9 ms 11344 KB Output is correct
25 Correct 9 ms 11344 KB Output is correct
26 Correct 10 ms 11344 KB Output is correct
27 Correct 10 ms 11344 KB Output is correct
28 Correct 10 ms 11344 KB Output is correct
29 Correct 9 ms 11232 KB Output is correct
30 Correct 9 ms 11216 KB Output is correct
31 Correct 9 ms 11372 KB Output is correct
32 Correct 9 ms 11344 KB Output is correct
33 Correct 9 ms 11252 KB Output is correct
34 Correct 9 ms 11216 KB Output is correct
35 Correct 9 ms 11216 KB Output is correct
36 Correct 10 ms 11344 KB Output is correct
37 Correct 13 ms 11344 KB Output is correct
38 Correct 9 ms 11344 KB Output is correct
39 Correct 9 ms 11268 KB Output is correct
40 Correct 12 ms 11348 KB Output is correct
41 Correct 10 ms 11216 KB Output is correct
42 Correct 9 ms 11272 KB Output is correct
43 Correct 653 ms 15440 KB Output is correct
44 Correct 1002 ms 19732 KB Output is correct
45 Correct 883 ms 19668 KB Output is correct
46 Correct 992 ms 19720 KB Output is correct
47 Correct 806 ms 15496 KB Output is correct
48 Correct 1045 ms 19704 KB Output is correct
49 Correct 939 ms 19724 KB Output is correct
50 Correct 950 ms 19736 KB Output is correct
51 Correct 484 ms 11508 KB Output is correct
52 Correct 764 ms 11728 KB Output is correct
53 Correct 838 ms 11728 KB Output is correct
54 Correct 850 ms 11728 KB Output is correct
55 Correct 1057 ms 23940 KB Output is correct
56 Correct 1124 ms 24064 KB Output is correct
57 Correct 1059 ms 24180 KB Output is correct
58 Correct 910 ms 24176 KB Output is correct
59 Correct 1006 ms 24296 KB Output is correct
60 Correct 913 ms 24056 KB Output is correct
61 Correct 668 ms 11628 KB Output is correct
62 Correct 876 ms 11740 KB Output is correct
63 Correct 710 ms 11672 KB Output is correct
64 Correct 872 ms 11820 KB Output is correct
65 Correct 906 ms 11856 KB Output is correct
66 Correct 730 ms 11856 KB Output is correct
67 Correct 748 ms 11856 KB Output is correct
68 Correct 876 ms 11796 KB Output is correct
69 Correct 757 ms 11472 KB Output is correct
70 Correct 565 ms 11472 KB Output is correct
71 Correct 615 ms 11748 KB Output is correct
72 Correct 917 ms 11856 KB Output is correct
73 Correct 846 ms 11660 KB Output is correct
74 Correct 933 ms 11584 KB Output is correct
75 Correct 803 ms 11436 KB Output is correct
76 Correct 694 ms 11856 KB Output is correct
77 Correct 911 ms 11856 KB Output is correct
78 Correct 892 ms 11856 KB Output is correct
79 Correct 837 ms 11736 KB Output is correct
80 Correct 885 ms 11592 KB Output is correct
81 Correct 773 ms 11516 KB Output is correct
82 Correct 876 ms 11464 KB Output is correct
83 Correct 460 ms 11516 KB Output is correct
84 Correct 882 ms 11728 KB Output is correct
85 Correct 851 ms 11728 KB Output is correct
86 Correct 691 ms 11728 KB Output is correct
87 Correct 8 ms 11216 KB Output is correct
88 Correct 589 ms 23012 KB Output is correct
89 Correct 926 ms 20484 KB Output is correct
90 Correct 944 ms 19652 KB Output is correct
91 Correct 828 ms 24392 KB Output is correct
92 Correct 1069 ms 24288 KB Output is correct
93 Correct 1095 ms 24216 KB Output is correct
94 Correct 1110 ms 24224 KB Output is correct
95 Correct 912 ms 24264 KB Output is correct
96 Correct 966 ms 14904 KB Output is correct
97 Correct 1082 ms 14784 KB Output is correct
98 Correct 904 ms 20916 KB Output is correct
99 Correct 1041 ms 24056 KB Output is correct
100 Correct 930 ms 19196 KB Output is correct
101 Correct 972 ms 17264 KB Output is correct
102 Correct 979 ms 14792 KB Output is correct
103 Correct 973 ms 24136 KB Output is correct
104 Correct 1024 ms 24584 KB Output is correct
105 Correct 894 ms 24776 KB Output is correct
106 Correct 1108 ms 20264 KB Output is correct
107 Correct 909 ms 17284 KB Output is correct
108 Correct 1038 ms 16712 KB Output is correct
109 Correct 1040 ms 14976 KB Output is correct