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Submission #628057

# Submission time Handle Problem Language Result Execution time Memory
628057 2022-08-13T04:05:16 Z czhang2718 Digital Circuit (IOI22_circuit) C++17
100 / 100
 1211 ms 36856 KB 
#include "bits/stdc++.h"
using namespace std;

typedef long long ll;

const int mod=1e9+2022;
const int N=2e5;
int n, m, q;
vector<int> adj[N];
int p[N];
int a[N];
int sum[4*N], con[4*N], c[N];
ll prod[N];

int add(int a, int b){
    return ((a+mod)%mod+(b+mod)%mod)%mod;
}

void add2(int &a, int b){
    a=add(a,b);
}

int mult(ll a, ll b){
    return (a*b)%mod;
}

void mult2(ll &a, ll b){
    a=mult(a,b);
}

void dfs(int x){
    prod[x]=x<n?adj[x].size():1;
    for(int k:adj[x]){
        dfs(k);
        mult2(prod[x], prod[k]);
    }
}

void dfs2(int x){
    int p=adj[x].size();
    vector<ll> pre(p), suf(p);
    for(int i=0; i<p; i++){
        int k=adj[x][i];
        pre[i]=suf[i]=prod[k];
    }
    for(int i=1; i<p; i++){
        mult2(pre[i], pre[i-1]);
    }
    for(int i=p-2; i>=0; i--){
        mult2(suf[i], suf[i+1]);
    }

    for(int i=0; i<p; i++){
        int k=adj[x][i];
        c[k]=mult(c[x], mult(i?pre[i-1]:1, i<p-1?suf[i+1]:1));
        dfs2(k);
    }
}

short lazy[4*N];

void build(int x, int lx, int rx){
    if(rx-lx==1){
        con[x]=a[lx]?c[lx+n]:0;
        // cout << "c[" << lx+n << "] " << c[lx+n] << "\n";
        sum[x]=c[lx+n];
        return;
    }
    int m=(lx+rx)/2;
    build(2*x+1, lx, m);
    build(2*x+2, m, rx);
    con[x]=add(con[2*x+1], con[2*x+2]);
    sum[x]=add(sum[2*x+1], sum[2*x+2]);
}

void push(int x, int lx, int rx){
    if(rx-lx==1 || !lazy[x]) return;
    for(int y=2*x+1; y<=2*x+2; y++){
        con[y]=add(sum[y], -con[y]);
        lazy[y]^=1;
    }
    lazy[x]=0;
}

void tog(int l, int r, int x=0, int lx=0, int rx=m){
    push(x, lx, rx);
    if(lx>=r || rx<=l) return;
    if(lx>=l && rx<=r){
        con[x]=add(sum[x], -con[x]);
        lazy[x]=1;
        return;
    }
    int m=(lx+rx)/2;
    tog(l, r, 2*x+1, lx, m);
    tog(l, r, 2*x+2, m, rx);
    con[x]=add(con[2*x+1], con[2*x+2]);
}

void init(int N, int M, std::vector<int> P, std::vector<int> A) {
  n=N, m=M;
  for(int i=0; i<n+m; i++){
      p[i]=P[i];
      if(i) adj[p[i]].push_back(i);
  }
  for(int i=0; i<m; i++) a[i]=A[i];

  dfs(0);
  c[0]=1;
  dfs2(0);
  build(0, 0, m);
}

int count_ways(int l, int r) {
  l-=n; r-=n;
  tog(l, r+1);
  return con[0];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 4 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5124 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 4 ms 5072 KB Output is correct
10 Correct 3 ms 5328 KB Output is correct
11 Correct 4 ms 5328 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 4 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5124 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 3 ms 5328 KB Output is correct
19 Correct 4 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 4 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 3 ms 5072 KB Output is correct
28 Correct 4 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5200 KB Output is correct
32 Correct 3 ms 5140 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 4 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 3 ms 5328 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5104 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 409 ms 8464 KB Output is correct
2 Correct 779 ms 11848 KB Output is correct
3 Correct 967 ms 11848 KB Output is correct
4 Correct 922 ms 11900 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 409 ms 8464 KB Output is correct
2 Correct 779 ms 11848 KB Output is correct
3 Correct 967 ms 11848 KB Output is correct
4 Correct 922 ms 11900 KB Output is correct
5 Correct 834 ms 8432 KB Output is correct
6 Correct 1111 ms 11924 KB Output is correct
7 Correct 1035 ms 11924 KB Output is correct
8 Correct 764 ms 11876 KB Output is correct
9 Correct 452 ms 5236 KB Output is correct
10 Correct 827 ms 5420 KB Output is correct
11 Correct 890 ms 5456 KB Output is correct
12 Correct 968 ms 5456 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5124 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 4 ms 5072 KB Output is correct
10 Correct 3 ms 5328 KB Output is correct
11 Correct 4 ms 5328 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 409 ms 8464 KB Output is correct
14 Correct 779 ms 11848 KB Output is correct
15 Correct 967 ms 11848 KB Output is correct
16 Correct 922 ms 11900 KB Output is correct
17 Correct 834 ms 8432 KB Output is correct
18 Correct 1111 ms 11924 KB Output is correct
19 Correct 1035 ms 11924 KB Output is correct
20 Correct 764 ms 11876 KB Output is correct
21 Correct 452 ms 5236 KB Output is correct
22 Correct 827 ms 5420 KB Output is correct
23 Correct 890 ms 5456 KB Output is correct
24 Correct 968 ms 5456 KB Output is correct
25 Correct 969 ms 15816 KB Output is correct
26 Correct 1152 ms 16036 KB Output is correct
27 Correct 1184 ms 16052 KB Output is correct
28 Correct 808 ms 16044 KB Output is correct
29 Correct 988 ms 36344 KB Output is correct
30 Correct 1030 ms 36376 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 4 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5124 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 3 ms 5328 KB Output is correct
19 Correct 4 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 4 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 3 ms 5072 KB Output is correct
28 Correct 4 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5200 KB Output is correct
32 Correct 3 ms 5140 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 4 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 3 ms 5328 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5104 KB Output is correct
43 Correct 538 ms 5328 KB Output is correct
44 Correct 846 ms 5328 KB Output is correct
45 Correct 871 ms 5328 KB Output is correct
46 Correct 938 ms 5584 KB Output is correct
47 Correct 863 ms 5584 KB Output is correct
48 Correct 957 ms 5584 KB Output is correct
49 Correct 868 ms 5584 KB Output is correct
50 Correct 690 ms 5616 KB Output is correct
51 Correct 755 ms 5476 KB Output is correct
52 Correct 864 ms 5496 KB Output is correct
53 Correct 761 ms 6352 KB Output is correct
54 Correct 764 ms 5636 KB Output is correct
55 Correct 899 ms 5456 KB Output is correct
56 Correct 856 ms 5456 KB Output is correct
57 Correct 1012 ms 5328 KB Output is correct
58 Correct 878 ms 6608 KB Output is correct
59 Correct 955 ms 6736 KB Output is correct
60 Correct 812 ms 6756 KB Output is correct
61 Correct 808 ms 5584 KB Output is correct
62 Correct 904 ms 5360 KB Output is correct
63 Correct 735 ms 5328 KB Output is correct
64 Correct 883 ms 5428 KB Output is correct
65 Correct 472 ms 5200 KB Output is correct
66 Correct 881 ms 5480 KB Output is correct
67 Correct 704 ms 5456 KB Output is correct
68 Correct 757 ms 5456 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 4 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5124 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 3 ms 5328 KB Output is correct
19 Correct 4 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 4 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 3 ms 5072 KB Output is correct
28 Correct 4 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5200 KB Output is correct
32 Correct 3 ms 5140 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 4 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 3 ms 5328 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5104 KB Output is correct
43 Correct 409 ms 8464 KB Output is correct
44 Correct 779 ms 11848 KB Output is correct
45 Correct 967 ms 11848 KB Output is correct
46 Correct 922 ms 11900 KB Output is correct
47 Correct 834 ms 8432 KB Output is correct
48 Correct 1111 ms 11924 KB Output is correct
49 Correct 1035 ms 11924 KB Output is correct
50 Correct 764 ms 11876 KB Output is correct
51 Correct 452 ms 5236 KB Output is correct
52 Correct 827 ms 5420 KB Output is correct
53 Correct 890 ms 5456 KB Output is correct
54 Correct 968 ms 5456 KB Output is correct
55 Correct 969 ms 15816 KB Output is correct
56 Correct 1152 ms 16036 KB Output is correct
57 Correct 1184 ms 16052 KB Output is correct
58 Correct 808 ms 16044 KB Output is correct
59 Correct 988 ms 36344 KB Output is correct
60 Correct 1030 ms 36376 KB Output is correct
61 Correct 538 ms 5328 KB Output is correct
62 Correct 846 ms 5328 KB Output is correct
63 Correct 871 ms 5328 KB Output is correct
64 Correct 938 ms 5584 KB Output is correct
65 Correct 863 ms 5584 KB Output is correct
66 Correct 957 ms 5584 KB Output is correct
67 Correct 868 ms 5584 KB Output is correct
68 Correct 690 ms 5616 KB Output is correct
69 Correct 755 ms 5476 KB Output is correct
70 Correct 864 ms 5496 KB Output is correct
71 Correct 761 ms 6352 KB Output is correct
72 Correct 764 ms 5636 KB Output is correct
73 Correct 899 ms 5456 KB Output is correct
74 Correct 856 ms 5456 KB Output is correct
75 Correct 1012 ms 5328 KB Output is correct
76 Correct 878 ms 6608 KB Output is correct
77 Correct 955 ms 6736 KB Output is correct
78 Correct 812 ms 6756 KB Output is correct
79 Correct 808 ms 5584 KB Output is correct
80 Correct 904 ms 5360 KB Output is correct
81 Correct 735 ms 5328 KB Output is correct
82 Correct 883 ms 5428 KB Output is correct
83 Correct 472 ms 5200 KB Output is correct
84 Correct 881 ms 5480 KB Output is correct
85 Correct 704 ms 5456 KB Output is correct
86 Correct 757 ms 5456 KB Output is correct
87 Correct 3 ms 4944 KB Output is correct
88 Correct 521 ms 15092 KB Output is correct
89 Correct 1167 ms 12008 KB Output is correct
90 Correct 1122 ms 11772 KB Output is correct
91 Correct 901 ms 16104 KB Output is correct
92 Correct 1115 ms 16180 KB Output is correct
93 Correct 1072 ms 16156 KB Output is correct
94 Correct 1097 ms 16164 KB Output is correct
95 Correct 1109 ms 16180 KB Output is correct
96 Correct 888 ms 11116 KB Output is correct
97 Correct 1162 ms 11120 KB Output is correct
98 Correct 922 ms 30812 KB Output is correct
99 Correct 1211 ms 16072 KB Output is correct
100 Correct 1124 ms 13308 KB Output is correct
101 Correct 907 ms 12364 KB Output is correct
102 Correct 1022 ms 11132 KB Output is correct
103 Correct 1037 ms 36300 KB Output is correct
104 Correct 1087 ms 36728 KB Output is correct
105 Correct 1045 ms 36856 KB Output is correct
106 Correct 1070 ms 16120 KB Output is correct
107 Correct 997 ms 11692 KB Output is correct
108 Correct 1088 ms 11592 KB Output is correct
109 Correct 1022 ms 11280 KB Output is correct