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Submission #934075

# Submission time Handle Problem Language Result Execution time Memory
934075 2024-02-26T18:47:43 Z jamesbamber Digital Circuit (IOI22_circuit) C++17
22 / 100
 3000 ms 14928 KB 
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
constexpr ll MOD = 1'000'002'022;

struct segment{
    struct Node{
        ll sum=0, act=0, lazy=0;
    };

    vector<Node> tr;

    void push(int v){
        if(!tr[v].lazy) return;
        tr[v].lazy = 0;
        if(2*v+1 < (int)tr.size()){
            tr[2*v].lazy = 1;
            tr[2*v+1].lazy = 1;
        }
        tr[v].act = (MOD + tr[v].sum - tr[v].act)%MOD;
    }

    void merge(int v){
        tr[v].sum = (tr[2*v].sum + tr[2*v+1].sum)%MOD;
        tr[v].act = (tr[2*v].act + tr[2*v+1].act)%MOD;
    }

    void build(int v, int l, int r, vector<ll> &a){
        if(r-l == 1){
            tr[v] = {a[l], a[l], 0};
            return;
        }
        int m = (l+r)/2;
        build(2*v, l, m, a);
        build(2*v+1, m, r, a);
        merge(v);
    }

    segment(int n, vector<ll> &v){
        tr.resize(4*(n+1));
        build(1, 0, n, v);
    }

    void upd(int v, int l, int r, int ql, int qr){
        push(v);
        if(l >= qr or r <= ql) return;
        if(l >= ql and r <= qr){
            tr[v].lazy = 1;
            push(v);
            return;
        }
        int m = (l+r)/2;
        upd(2*v, l, m, ql, qr);
        upd(2*v+1, m, r, ql, qr);
        merge(v);
    }

    ll query(){
        return tr[1].act;
    }
};

segment *st;
int m, n;

void init(int N, int M, std::vector<int> P, std::vector<int> A){

    vector<vector<int>> ad(N+M);
    for(int i=1; i<N+M; i++){
        ad[P[i]].push_back(i);
    }
    vector<ll> prod(N+M);
    vector<ll> ways(M);

    function<void(int)> dfs = [&](int v){
        prod[v] = max(1, (int)ad[v].size());
        for(int u: ad[v]){
            dfs(u);
            prod[v] = prod[v]*prod[u]%MOD;
        }
    };

    function<void(int,ll)> dfs2 = [&](int v, ll up){
        if(v >= N){
            ways[v-N] = up;
            return;
        }
        int len = ad[v].size();
        vector<ll> pref(len+1, 1), suff(len+1, 1);
        for(int i=0; i<len; i++) pref[i+1] = pref[i]*prod[ad[v][i]]%MOD;
        for(int i=len-1; i>=0; i--) suff[i] = suff[i+1]*prod[ad[v][i]]%MOD;

        for(int i=0; i<len; i++){
            dfs2(ad[v][i], pref[i]*suff[i+1]%MOD*up%MOD);
        }
    };

    dfs(0); dfs2(0, 1);

    m = M; n = N;
    st = new segment(m, ways);
    for(int i=0; i<M; i++){
        if(!A[i]) st->upd(1, 0, m, i, i+1);
    }
}

int count_ways(int L, int R) {
    for(int i=L-n; i<R+1-n; i++) st->upd(1, 0, m, i, i+1);
    return st->query();
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 420 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 772 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 2 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 600 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 420 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 772 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 2 ms 600 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 612 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 2 ms 600 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 440 ms 7512 KB Output is correct
2 Correct 633 ms 14828 KB Output is correct
3 Correct 578 ms 14928 KB Output is correct
4 Correct 606 ms 14784 KB Output is correct

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 440 ms 7512 KB Output is correct
2 Correct 633 ms 14828 KB Output is correct
3 Correct 578 ms 14928 KB Output is correct
4 Correct 606 ms 14784 KB Output is correct
5 Execution timed out 3003 ms 7492 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 772 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 2 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 440 ms 7512 KB Output is correct
14 Correct 633 ms 14828 KB Output is correct
15 Correct 578 ms 14928 KB Output is correct
16 Correct 606 ms 14784 KB Output is correct
17 Execution timed out 3003 ms 7492 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 420 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 772 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 2 ms 600 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 612 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 2 ms 600 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Execution timed out 3083 ms 856 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 420 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 772 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 2 ms 600 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 612 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 2 ms 600 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 440 ms 7512 KB Output is correct
44 Correct 633 ms 14828 KB Output is correct
45 Correct 578 ms 14928 KB Output is correct
46 Correct 606 ms 14784 KB Output is correct
47 Execution timed out 3003 ms 7492 KB Time limit exceeded
48 Halted 0 ms 0 KB -