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Submission #1110138

# Submission time Handle Problem Language Result Execution time Memory
1110138 2024-11-08T20:24:06 Z ASN49K Digital Circuit (IOI22_circuit) C++17
100 / 100
 2112 ms 36024 KB 
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;

const int N=100'000,mod=1e9+2022;
int add(int x,int y)
{
    assert(y>=0 && y<mod);
    assert(x>=0 && x<mod);
    return (x+y)%mod;
}
void add_self(int& x,int y)
{
    assert(y>=0 && y<mod);
    assert(x>=0 && x<mod);
    x+=y;
    if(x>=mod)
    {
        x-=mod;
    }
    if(x<0)
    {
        x+=mod;
    }
}
int prod(int x,int y)
{
    assert(y>=0 && y<mod);
    assert(x>=0 && x<mod);
    return (1LL*x*y)%mod;
}
int n,m;
vector<signed>g[2*N],a;
bool lazy[5*N];
int aint[5*N][2],dp[2*N],produs[2*N];


void push_down(int nod)
{
    if(lazy[nod])
    {
        swap(aint[2*nod+1][0] , aint[2*nod+1][1]);
        swap(aint[2*nod+2][0] , aint[2*nod+2][1]);
        lazy[2*nod+1]^=true;
        lazy[2*nod+2]^=true;
        lazy[nod]=false;
    }
}
void recalc(int nod)
{
    int l=2*nod+1,r=2*nod+2;
    aint[nod][0]=add(aint[l][0],aint[r][0]);
    aint[nod][1]=add(aint[l][1],aint[r][1]);
}
void build(int nod,int st,int dr)
{
    if(st==dr)
    {
        aint[nod][a[st]^1]=dp[st+n];
        return;
    }
    int m=(st+dr)/2;
    build(2*nod+1,st,m);
    build(2*nod+2,m+1,dr);
    recalc(nod);
}
void update(int nod,int st,int dr,int l,int r)
{
    if(st>r || dr<l)
    {
        return;
    }
    if(l<=st && dr<=r)
    {
        lazy[nod]^=true;
        swap(aint[nod][0] , aint[nod][1]);
        return;
    }
    int m=(st+dr)/2;
    push_down(nod);
    update(2*nod+1,st,m,l,r);
    update(2*nod+2,m+1,dr,l,r);
    recalc(nod);
}

void dfs1(int nod)
{
    produs[nod]=max(1,(int)g[nod].size());
    for(auto &c:g[nod])
    {
        dfs1(c);
        produs[nod]=prod(produs[nod] , produs[c]);
    }
}
void dfs2(int nod)
{
    int sz=(int)g[nod].size();
    if(g[nod].empty())
    {
        return;
    }
    vector<int>suf(sz,1),pref(sz,1);
    for(int i=1;i<sz;i++)
    {
        suf[i]=prod(suf[i-1],produs[g[nod][i-1]]);
    }
    for(int i=sz-2;i>=0;i--)
    {
        pref[i]=prod(pref[i+1],produs[g[nod][i+1]]);
    }
    for(int i=0;i<sz;i++)
    {
        int c=g[nod][i];
        dp[c]=prod(dp[nod] , prod(suf[i] , pref[i]));
        dfs2(c);
    }
}

void init(signed nn, signed mm, std::vector<signed> pp, std::vector<signed> init_a)
{
    n=nn;
    m=mm;
    for(int i=1;i<n+m;i++)
    {
        g[pp[i]].push_back(i);
    }
    a=init_a;
    dp[0]=1;
    dfs1(0);
    dfs2(0);
    build(0,0,m-1);
}
signed count_ways(signed l, signed r)
{
    l-=n;
    r-=n;
    update(0,0,m-1,l,r);
    return aint[0][0];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8784 KB Output is correct
2 Correct 2 ms 8784 KB Output is correct
3 Correct 3 ms 8784 KB Output is correct
4 Correct 4 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 2 ms 8784 KB Output is correct
8 Correct 3 ms 8784 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB Output is correct
2 Correct 3 ms 8784 KB Output is correct
3 Correct 2 ms 8784 KB Output is correct
4 Correct 3 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 3 ms 8784 KB Output is correct
8 Correct 3 ms 8784 KB Output is correct
9 Correct 3 ms 8784 KB Output is correct
10 Correct 3 ms 9040 KB Output is correct
11 Correct 5 ms 9208 KB Output is correct
12 Correct 2 ms 8784 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8784 KB Output is correct
2 Correct 2 ms 8784 KB Output is correct
3 Correct 3 ms 8784 KB Output is correct
4 Correct 4 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 2 ms 8784 KB Output is correct
8 Correct 3 ms 8784 KB Output is correct
9 Correct 2 ms 8784 KB Output is correct
10 Correct 3 ms 8784 KB Output is correct
11 Correct 2 ms 8784 KB Output is correct
12 Correct 3 ms 8784 KB Output is correct
13 Correct 2 ms 8784 KB Output is correct
14 Correct 2 ms 8784 KB Output is correct
15 Correct 3 ms 8784 KB Output is correct
16 Correct 3 ms 8784 KB Output is correct
17 Correct 3 ms 8784 KB Output is correct
18 Correct 3 ms 9040 KB Output is correct
19 Correct 5 ms 9208 KB Output is correct
20 Correct 2 ms 8784 KB Output is correct
21 Correct 4 ms 8784 KB Output is correct
22 Correct 5 ms 8784 KB Output is correct
23 Correct 3 ms 8784 KB Output is correct
24 Correct 2 ms 8784 KB Output is correct
25 Correct 3 ms 8784 KB Output is correct
26 Correct 4 ms 8784 KB Output is correct
27 Correct 3 ms 8784 KB Output is correct
28 Correct 3 ms 8784 KB Output is correct
29 Correct 2 ms 8784 KB Output is correct
30 Correct 2 ms 8784 KB Output is correct
31 Correct 4 ms 9040 KB Output is correct
32 Correct 2 ms 8784 KB Output is correct
33 Correct 3 ms 8784 KB Output is correct
34 Correct 2 ms 8784 KB Output is correct
35 Correct 2 ms 8784 KB Output is correct
36 Correct 3 ms 9040 KB Output is correct
37 Correct 4 ms 9040 KB Output is correct
38 Correct 3 ms 9040 KB Output is correct
39 Correct 3 ms 8784 KB Output is correct
40 Correct 2 ms 8784 KB Output is correct
41 Correct 2 ms 8784 KB Output is correct
42 Correct 2 ms 8784 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1376 ms 10924 KB Output is correct
2 Correct 1894 ms 14936 KB Output is correct
3 Correct 1985 ms 15128 KB Output is correct
4 Correct 1997 ms 14932 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1376 ms 10924 KB Output is correct
2 Correct 1894 ms 14936 KB Output is correct
3 Correct 1985 ms 15128 KB Output is correct
4 Correct 1997 ms 14932 KB Output is correct
5 Correct 1674 ms 10792 KB Output is correct
6 Correct 2019 ms 14920 KB Output is correct
7 Correct 2041 ms 14760 KB Output is correct
8 Correct 1882 ms 14920 KB Output is correct
9 Correct 923 ms 8784 KB Output is correct
10 Correct 1898 ms 9040 KB Output is correct
11 Correct 1875 ms 9040 KB Output is correct
12 Correct 1866 ms 9040 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB Output is correct
2 Correct 3 ms 8784 KB Output is correct
3 Correct 2 ms 8784 KB Output is correct
4 Correct 3 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 3 ms 8784 KB Output is correct
8 Correct 3 ms 8784 KB Output is correct
9 Correct 3 ms 8784 KB Output is correct
10 Correct 3 ms 9040 KB Output is correct
11 Correct 5 ms 9208 KB Output is correct
12 Correct 2 ms 8784 KB Output is correct
13 Correct 1376 ms 10924 KB Output is correct
14 Correct 1894 ms 14936 KB Output is correct
15 Correct 1985 ms 15128 KB Output is correct
16 Correct 1997 ms 14932 KB Output is correct
17 Correct 1674 ms 10792 KB Output is correct
18 Correct 2019 ms 14920 KB Output is correct
19 Correct 2041 ms 14760 KB Output is correct
20 Correct 1882 ms 14920 KB Output is correct
21 Correct 923 ms 8784 KB Output is correct
22 Correct 1898 ms 9040 KB Output is correct
23 Correct 1875 ms 9040 KB Output is correct
24 Correct 1866 ms 9040 KB Output is correct
25 Correct 1900 ms 16828 KB Output is correct
26 Correct 1978 ms 16952 KB Output is correct
27 Correct 2005 ms 16976 KB Output is correct
28 Correct 1591 ms 16956 KB Output is correct
29 Correct 2057 ms 35680 KB Output is correct
30 Correct 2001 ms 35636 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8784 KB Output is correct
2 Correct 2 ms 8784 KB Output is correct
3 Correct 3 ms 8784 KB Output is correct
4 Correct 4 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 2 ms 8784 KB Output is correct
8 Correct 3 ms 8784 KB Output is correct
9 Correct 2 ms 8784 KB Output is correct
10 Correct 3 ms 8784 KB Output is correct
11 Correct 2 ms 8784 KB Output is correct
12 Correct 3 ms 8784 KB Output is correct
13 Correct 2 ms 8784 KB Output is correct
14 Correct 2 ms 8784 KB Output is correct
15 Correct 3 ms 8784 KB Output is correct
16 Correct 3 ms 8784 KB Output is correct
17 Correct 3 ms 8784 KB Output is correct
18 Correct 3 ms 9040 KB Output is correct
19 Correct 5 ms 9208 KB Output is correct
20 Correct 2 ms 8784 KB Output is correct
21 Correct 4 ms 8784 KB Output is correct
22 Correct 5 ms 8784 KB Output is correct
23 Correct 3 ms 8784 KB Output is correct
24 Correct 2 ms 8784 KB Output is correct
25 Correct 3 ms 8784 KB Output is correct
26 Correct 4 ms 8784 KB Output is correct
27 Correct 3 ms 8784 KB Output is correct
28 Correct 3 ms 8784 KB Output is correct
29 Correct 2 ms 8784 KB Output is correct
30 Correct 2 ms 8784 KB Output is correct
31 Correct 4 ms 9040 KB Output is correct
32 Correct 2 ms 8784 KB Output is correct
33 Correct 3 ms 8784 KB Output is correct
34 Correct 2 ms 8784 KB Output is correct
35 Correct 2 ms 8784 KB Output is correct
36 Correct 3 ms 9040 KB Output is correct
37 Correct 4 ms 9040 KB Output is correct
38 Correct 3 ms 9040 KB Output is correct
39 Correct 3 ms 8784 KB Output is correct
40 Correct 2 ms 8784 KB Output is correct
41 Correct 2 ms 8784 KB Output is correct
42 Correct 2 ms 8784 KB Output is correct
43 Correct 1323 ms 9040 KB Output is correct
44 Correct 1866 ms 9040 KB Output is correct
45 Correct 1945 ms 9040 KB Output is correct
46 Correct 1885 ms 9040 KB Output is correct
47 Correct 1862 ms 9040 KB Output is correct
48 Correct 1823 ms 9040 KB Output is correct
49 Correct 1826 ms 9040 KB Output is correct
50 Correct 1903 ms 9040 KB Output is correct
51 Correct 1833 ms 9040 KB Output is correct
52 Correct 1935 ms 9040 KB Output is correct
53 Correct 1840 ms 9808 KB Output is correct
54 Correct 1858 ms 9040 KB Output is correct
55 Correct 1876 ms 9040 KB Output is correct
56 Correct 1906 ms 9040 KB Output is correct
57 Correct 1911 ms 8784 KB Output is correct
58 Correct 1897 ms 10064 KB Output is correct
59 Correct 1856 ms 10064 KB Output is correct
60 Correct 1834 ms 10064 KB Output is correct
61 Correct 1869 ms 9296 KB Output is correct
62 Correct 1842 ms 9040 KB Output is correct
63 Correct 1873 ms 8784 KB Output is correct
64 Correct 1946 ms 9040 KB Output is correct
65 Correct 947 ms 8784 KB Output is correct
66 Correct 1876 ms 9040 KB Output is correct
67 Correct 1861 ms 9040 KB Output is correct
68 Correct 1955 ms 9040 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 8784 KB Output is correct
2 Correct 2 ms 8784 KB Output is correct
3 Correct 3 ms 8784 KB Output is correct
4 Correct 4 ms 8784 KB Output is correct
5 Correct 2 ms 8784 KB Output is correct
6 Correct 2 ms 8784 KB Output is correct
7 Correct 2 ms 8784 KB Output is correct
8 Correct 3 ms 8784 KB Output is correct
9 Correct 2 ms 8784 KB Output is correct
10 Correct 3 ms 8784 KB Output is correct
11 Correct 2 ms 8784 KB Output is correct
12 Correct 3 ms 8784 KB Output is correct
13 Correct 2 ms 8784 KB Output is correct
14 Correct 2 ms 8784 KB Output is correct
15 Correct 3 ms 8784 KB Output is correct
16 Correct 3 ms 8784 KB Output is correct
17 Correct 3 ms 8784 KB Output is correct
18 Correct 3 ms 9040 KB Output is correct
19 Correct 5 ms 9208 KB Output is correct
20 Correct 2 ms 8784 KB Output is correct
21 Correct 4 ms 8784 KB Output is correct
22 Correct 5 ms 8784 KB Output is correct
23 Correct 3 ms 8784 KB Output is correct
24 Correct 2 ms 8784 KB Output is correct
25 Correct 3 ms 8784 KB Output is correct
26 Correct 4 ms 8784 KB Output is correct
27 Correct 3 ms 8784 KB Output is correct
28 Correct 3 ms 8784 KB Output is correct
29 Correct 2 ms 8784 KB Output is correct
30 Correct 2 ms 8784 KB Output is correct
31 Correct 4 ms 9040 KB Output is correct
32 Correct 2 ms 8784 KB Output is correct
33 Correct 3 ms 8784 KB Output is correct
34 Correct 2 ms 8784 KB Output is correct
35 Correct 2 ms 8784 KB Output is correct
36 Correct 3 ms 9040 KB Output is correct
37 Correct 4 ms 9040 KB Output is correct
38 Correct 3 ms 9040 KB Output is correct
39 Correct 3 ms 8784 KB Output is correct
40 Correct 2 ms 8784 KB Output is correct
41 Correct 2 ms 8784 KB Output is correct
42 Correct 2 ms 8784 KB Output is correct
43 Correct 1376 ms 10924 KB Output is correct
44 Correct 1894 ms 14936 KB Output is correct
45 Correct 1985 ms 15128 KB Output is correct
46 Correct 1997 ms 14932 KB Output is correct
47 Correct 1674 ms 10792 KB Output is correct
48 Correct 2019 ms 14920 KB Output is correct
49 Correct 2041 ms 14760 KB Output is correct
50 Correct 1882 ms 14920 KB Output is correct
51 Correct 923 ms 8784 KB Output is correct
52 Correct 1898 ms 9040 KB Output is correct
53 Correct 1875 ms 9040 KB Output is correct
54 Correct 1866 ms 9040 KB Output is correct
55 Correct 1900 ms 16828 KB Output is correct
56 Correct 1978 ms 16952 KB Output is correct
57 Correct 2005 ms 16976 KB Output is correct
58 Correct 1591 ms 16956 KB Output is correct
59 Correct 2057 ms 35680 KB Output is correct
60 Correct 2001 ms 35636 KB Output is correct
61 Correct 1323 ms 9040 KB Output is correct
62 Correct 1866 ms 9040 KB Output is correct
63 Correct 1945 ms 9040 KB Output is correct
64 Correct 1885 ms 9040 KB Output is correct
65 Correct 1862 ms 9040 KB Output is correct
66 Correct 1823 ms 9040 KB Output is correct
67 Correct 1826 ms 9040 KB Output is correct
68 Correct 1903 ms 9040 KB Output is correct
69 Correct 1833 ms 9040 KB Output is correct
70 Correct 1935 ms 9040 KB Output is correct
71 Correct 1840 ms 9808 KB Output is correct
72 Correct 1858 ms 9040 KB Output is correct
73 Correct 1876 ms 9040 KB Output is correct
74 Correct 1906 ms 9040 KB Output is correct
75 Correct 1911 ms 8784 KB Output is correct
76 Correct 1897 ms 10064 KB Output is correct
77 Correct 1856 ms 10064 KB Output is correct
78 Correct 1834 ms 10064 KB Output is correct
79 Correct 1869 ms 9296 KB Output is correct
80 Correct 1842 ms 9040 KB Output is correct
81 Correct 1873 ms 8784 KB Output is correct
82 Correct 1946 ms 9040 KB Output is correct
83 Correct 947 ms 8784 KB Output is correct
84 Correct 1876 ms 9040 KB Output is correct
85 Correct 1861 ms 9040 KB Output is correct
86 Correct 1955 ms 9040 KB Output is correct
87 Correct 2 ms 8784 KB Output is correct
88 Correct 1198 ms 16204 KB Output is correct
89 Correct 1954 ms 14928 KB Output is correct
90 Correct 1985 ms 14700 KB Output is correct
91 Correct 1990 ms 16952 KB Output is correct
92 Correct 2013 ms 16952 KB Output is correct
93 Correct 2037 ms 16968 KB Output is correct
94 Correct 2112 ms 16948 KB Output is correct
95 Correct 2004 ms 16964 KB Output is correct
96 Correct 1915 ms 13496 KB Output is correct
97 Correct 1999 ms 13496 KB Output is correct
98 Correct 1845 ms 31480 KB Output is correct
99 Correct 2092 ms 16956 KB Output is correct
100 Correct 2066 ms 14920 KB Output is correct
101 Correct 2021 ms 14352 KB Output is correct
102 Correct 2054 ms 13336 KB Output is correct
103 Correct 2063 ms 35656 KB Output is correct
104 Correct 2062 ms 36024 KB Output is correct
105 Correct 2032 ms 36024 KB Output is correct
106 Correct 1960 ms 18760 KB Output is correct
107 Correct 2027 ms 13900 KB Output is correct
108 Correct 2005 ms 13896 KB Output is correct
109 Correct 1981 ms 13648 KB Output is correct