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Submission #812543

# Submission time Handle Problem Language Result Execution time Memory
812543 2023-08-07T09:09:57 Z BT21tata Digital Circuit (IOI22_circuit) C++17
100 / 100
 963 ms 24224 KB 
#include "circuit.h"
typedef long long ll;
#include <bits/stdc++.h>
using namespace std;
const ll MOD=1e9+2022;
const int N=2e5+5;
 
struct tree
{
    ll one, zero, lazy;
}t[4*N];
 
int nw[N], cnt, old[N], n, m;
ll suff[N], prv=1, a[N];
vector<int>g[N];
 
void dfs(int v)
{
    if(v<n)
    {
        old[cnt]=v;
        nw[v]=cnt++;
    }
    for(int u : g[v])
        dfs(u);
}
 
void calc(int v)
{
    if(v>=n)
    {
        a[v-n]=(1ll*prv*suff[cnt])%MOD;
        return;
    }
    else cnt++;
    
    for(int u : g[v])
        calc(u);
    
    if(v<n) prv=(1ll*prv*g[v].size())%MOD;
}
 
void build(int v, int l, int r, vector<int>&state)
{
    if(l==r)
    {
        if(state[l]) t[v]={a[l], 0, 0};
        else t[v]={0, a[l], 0};
        return;
    }
    
    int mid=(l+r)>>1;
    build(v<<1, l, mid, state);
    build(v<<1|1, mid+1, r, state);
 
    t[v]={(t[v<<1].one+t[v<<1|1].one)%MOD, (t[v<<1].zero+t[v<<1|1].zero)%MOD, 0};
}
 
void push(int v, int l, int r)
{
    swap(t[v].zero, t[v].one);
    t[v].lazy=0;
    if(l!=r)
    {
        t[v<<1].lazy^=1;
        t[v<<1|1].lazy^=1;
    }
}
 
void update(int v, int l, int r, int tl, int tr)
{
    if(t[v].lazy) push(v, l, r);
    if(r<tl or tr<l) return;
    if(tl<=l and r<=tr)
    {
        push(v, l, r);
        return;
    }
 
    int mid=(l+r)>>1;
    update(v<<1, l, mid, tl, tr);
    update(v<<1|1, mid+1, r, tl, tr);
 
    t[v]={(t[v<<1].one+t[v<<1|1].one)%MOD, (t[v<<1].zero+t[v<<1|1].zero)%MOD, 0};
}
 
void init(int N, int M, vector<int> p, vector<int> state)
{
    n=N; m=M;
    for(int i=1; i<n+m; i++)
        g[p[i]].push_back(i);
 
    dfs(0);
 
    suff[n]=1;
    for(int i=n-1; i>=0; i--)
    {
        suff[i]=1ll*suff[i+1]*g[old[i]].size();
        suff[i]%=MOD;
    }
    
    cnt=0;
    calc(0);
 
    build(1, 0, m-1, state);
}
 
int count_ways(int l, int r)
{
    update(1, 0, m-1, l-n, r-n);
    return t[1].one;
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 2 ms 5072 KB Output is correct
4 Correct 2 ms 5072 KB Output is correct
5 Correct 2 ms 5072 KB Output is correct
6 Correct 2 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 2 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 2 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 2 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5148 KB Output is correct
9 Correct 3 ms 5028 KB Output is correct
10 Correct 3 ms 5200 KB Output is correct
11 Correct 3 ms 5072 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 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 2 ms 5072 KB Output is correct
4 Correct 2 ms 5072 KB Output is correct
5 Correct 2 ms 5072 KB Output is correct
6 Correct 2 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 2 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 2 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 2 ms 5072 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5148 KB Output is correct
17 Correct 3 ms 5028 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 3 ms 5072 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 2 ms 5072 KB Output is correct
23 Correct 2 ms 5072 KB Output is correct
24 Correct 4 ms 5200 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 2 ms 5072 KB Output is correct
29 Correct 2 ms 5072 KB Output is correct
30 Correct 2 ms 5072 KB Output is correct
31 Correct 2 ms 5072 KB Output is correct
32 Correct 3 ms 5072 KB Output is correct
33 Correct 2 ms 5072 KB Output is correct
34 Correct 3 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 3 ms 5200 KB Output is correct
38 Correct 3 ms 5200 KB Output is correct
39 Correct 2 ms 5072 KB Output is correct
40 Correct 2 ms 5072 KB Output is correct
41 Correct 2 ms 5072 KB Output is correct
42 Correct 2 ms 5072 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 489 ms 9060 KB Output is correct
2 Correct 913 ms 13212 KB Output is correct
3 Correct 736 ms 13184 KB Output is correct
4 Correct 698 ms 13128 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 489 ms 9060 KB Output is correct
2 Correct 913 ms 13212 KB Output is correct
3 Correct 736 ms 13184 KB Output is correct
4 Correct 698 ms 13128 KB Output is correct
5 Correct 586 ms 9032 KB Output is correct
6 Correct 864 ms 13144 KB Output is correct
7 Correct 774 ms 13212 KB Output is correct
8 Correct 649 ms 13212 KB Output is correct
9 Correct 267 ms 5200 KB Output is correct
10 Correct 746 ms 5456 KB Output is correct
11 Correct 665 ms 5456 KB Output is correct
12 Correct 697 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 2 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 2 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5148 KB Output is correct
9 Correct 3 ms 5028 KB Output is correct
10 Correct 3 ms 5200 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 489 ms 9060 KB Output is correct
14 Correct 913 ms 13212 KB Output is correct
15 Correct 736 ms 13184 KB Output is correct
16 Correct 698 ms 13128 KB Output is correct
17 Correct 586 ms 9032 KB Output is correct
18 Correct 864 ms 13144 KB Output is correct
19 Correct 774 ms 13212 KB Output is correct
20 Correct 649 ms 13212 KB Output is correct
21 Correct 267 ms 5200 KB Output is correct
22 Correct 746 ms 5456 KB Output is correct
23 Correct 665 ms 5456 KB Output is correct
24 Correct 697 ms 5456 KB Output is correct
25 Correct 732 ms 18820 KB Output is correct
26 Correct 772 ms 18952 KB Output is correct
27 Correct 738 ms 18996 KB Output is correct
28 Correct 619 ms 18984 KB Output is correct
29 Correct 849 ms 23688 KB Output is correct
30 Correct 645 ms 23684 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 2 ms 5072 KB Output is correct
4 Correct 2 ms 5072 KB Output is correct
5 Correct 2 ms 5072 KB Output is correct
6 Correct 2 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 2 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 2 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 2 ms 5072 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5148 KB Output is correct
17 Correct 3 ms 5028 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 3 ms 5072 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 2 ms 5072 KB Output is correct
23 Correct 2 ms 5072 KB Output is correct
24 Correct 4 ms 5200 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 2 ms 5072 KB Output is correct
29 Correct 2 ms 5072 KB Output is correct
30 Correct 2 ms 5072 KB Output is correct
31 Correct 2 ms 5072 KB Output is correct
32 Correct 3 ms 5072 KB Output is correct
33 Correct 2 ms 5072 KB Output is correct
34 Correct 3 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 3 ms 5200 KB Output is correct
38 Correct 3 ms 5200 KB Output is correct
39 Correct 2 ms 5072 KB Output is correct
40 Correct 2 ms 5072 KB Output is correct
41 Correct 2 ms 5072 KB Output is correct
42 Correct 2 ms 5072 KB Output is correct
43 Correct 614 ms 5328 KB Output is correct
44 Correct 697 ms 5456 KB Output is correct
45 Correct 614 ms 5456 KB Output is correct
46 Correct 518 ms 5712 KB Output is correct
47 Correct 648 ms 5700 KB Output is correct
48 Correct 583 ms 5712 KB Output is correct
49 Correct 818 ms 5712 KB Output is correct
50 Correct 503 ms 5712 KB Output is correct
51 Correct 565 ms 5584 KB Output is correct
52 Correct 779 ms 5584 KB Output is correct
53 Correct 789 ms 5456 KB Output is correct
54 Correct 622 ms 5712 KB Output is correct
55 Correct 854 ms 5584 KB Output is correct
56 Correct 574 ms 5584 KB Output is correct
57 Correct 870 ms 5456 KB Output is correct
58 Correct 857 ms 5968 KB Output is correct
59 Correct 554 ms 6076 KB Output is correct
60 Correct 614 ms 6072 KB Output is correct
61 Correct 865 ms 5456 KB Output is correct
62 Correct 843 ms 5328 KB Output is correct
63 Correct 703 ms 5328 KB Output is correct
64 Correct 549 ms 5456 KB Output is correct
65 Correct 312 ms 5200 KB Output is correct
66 Correct 777 ms 5456 KB Output is correct
67 Correct 628 ms 5456 KB Output is correct
68 Correct 659 ms 5456 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 2 ms 5072 KB Output is correct
4 Correct 2 ms 5072 KB Output is correct
5 Correct 2 ms 5072 KB Output is correct
6 Correct 2 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 2 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 2 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 2 ms 5072 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5148 KB Output is correct
17 Correct 3 ms 5028 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 3 ms 5072 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 2 ms 5072 KB Output is correct
23 Correct 2 ms 5072 KB Output is correct
24 Correct 4 ms 5200 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 2 ms 5072 KB Output is correct
29 Correct 2 ms 5072 KB Output is correct
30 Correct 2 ms 5072 KB Output is correct
31 Correct 2 ms 5072 KB Output is correct
32 Correct 3 ms 5072 KB Output is correct
33 Correct 2 ms 5072 KB Output is correct
34 Correct 3 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 3 ms 5200 KB Output is correct
38 Correct 3 ms 5200 KB Output is correct
39 Correct 2 ms 5072 KB Output is correct
40 Correct 2 ms 5072 KB Output is correct
41 Correct 2 ms 5072 KB Output is correct
42 Correct 2 ms 5072 KB Output is correct
43 Correct 489 ms 9060 KB Output is correct
44 Correct 913 ms 13212 KB Output is correct
45 Correct 736 ms 13184 KB Output is correct
46 Correct 698 ms 13128 KB Output is correct
47 Correct 586 ms 9032 KB Output is correct
48 Correct 864 ms 13144 KB Output is correct
49 Correct 774 ms 13212 KB Output is correct
50 Correct 649 ms 13212 KB Output is correct
51 Correct 267 ms 5200 KB Output is correct
52 Correct 746 ms 5456 KB Output is correct
53 Correct 665 ms 5456 KB Output is correct
54 Correct 697 ms 5456 KB Output is correct
55 Correct 732 ms 18820 KB Output is correct
56 Correct 772 ms 18952 KB Output is correct
57 Correct 738 ms 18996 KB Output is correct
58 Correct 619 ms 18984 KB Output is correct
59 Correct 849 ms 23688 KB Output is correct
60 Correct 645 ms 23684 KB Output is correct
61 Correct 614 ms 5328 KB Output is correct
62 Correct 697 ms 5456 KB Output is correct
63 Correct 614 ms 5456 KB Output is correct
64 Correct 518 ms 5712 KB Output is correct
65 Correct 648 ms 5700 KB Output is correct
66 Correct 583 ms 5712 KB Output is correct
67 Correct 818 ms 5712 KB Output is correct
68 Correct 503 ms 5712 KB Output is correct
69 Correct 565 ms 5584 KB Output is correct
70 Correct 779 ms 5584 KB Output is correct
71 Correct 789 ms 5456 KB Output is correct
72 Correct 622 ms 5712 KB Output is correct
73 Correct 854 ms 5584 KB Output is correct
74 Correct 574 ms 5584 KB Output is correct
75 Correct 870 ms 5456 KB Output is correct
76 Correct 857 ms 5968 KB Output is correct
77 Correct 554 ms 6076 KB Output is correct
78 Correct 614 ms 6072 KB Output is correct
79 Correct 865 ms 5456 KB Output is correct
80 Correct 843 ms 5328 KB Output is correct
81 Correct 703 ms 5328 KB Output is correct
82 Correct 549 ms 5456 KB Output is correct
83 Correct 312 ms 5200 KB Output is correct
84 Correct 777 ms 5456 KB Output is correct
85 Correct 628 ms 5456 KB Output is correct
86 Correct 659 ms 5456 KB Output is correct
87 Correct 3 ms 4944 KB Output is correct
88 Correct 532 ms 18228 KB Output is correct
89 Correct 883 ms 13512 KB Output is correct
90 Correct 849 ms 13156 KB Output is correct
91 Correct 559 ms 19016 KB Output is correct
92 Correct 818 ms 19072 KB Output is correct
93 Correct 963 ms 19232 KB Output is correct
94 Correct 696 ms 19104 KB Output is correct
95 Correct 785 ms 19024 KB Output is correct
96 Correct 782 ms 13964 KB Output is correct
97 Correct 784 ms 13944 KB Output is correct
98 Correct 609 ms 15184 KB Output is correct
99 Correct 758 ms 18988 KB Output is correct
100 Correct 744 ms 16260 KB Output is correct
101 Correct 779 ms 15384 KB Output is correct
102 Correct 895 ms 14032 KB Output is correct
103 Correct 702 ms 23644 KB Output is correct
104 Correct 874 ms 24104 KB Output is correct
105 Correct 714 ms 24224 KB Output is correct
106 Correct 774 ms 14220 KB Output is correct
107 Correct 656 ms 14152 KB Output is correct
108 Correct 731 ms 14664 KB Output is correct
109 Correct 705 ms 13980 KB Output is correct