Submission #1110137

# Submission time Handle Problem Language Result Execution time Memory
1110137 2024-11-08T20:22:52 Z ASN49K Digital Circuit (IOI22_circuit) C++17
100 / 100
2089 ms 39412 KB
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;

const int N=100'000,mod=1e9+2022;
#define int long long
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(1LL,(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];
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 3 ms 10064 KB Output is correct
3 Correct 3 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 3 ms 10064 KB Output is correct
6 Correct 3 ms 10064 KB Output is correct
7 Correct 4 ms 10064 KB Output is correct
8 Correct 3 ms 10064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 3 ms 10064 KB Output is correct
3 Correct 3 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 4 ms 10232 KB Output is correct
6 Correct 3 ms 10064 KB Output is correct
7 Correct 4 ms 10320 KB Output is correct
8 Correct 4 ms 10320 KB Output is correct
9 Correct 3 ms 10320 KB Output is correct
10 Correct 5 ms 10320 KB Output is correct
11 Correct 3 ms 10320 KB Output is correct
12 Correct 3 ms 10064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 3 ms 10064 KB Output is correct
3 Correct 3 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 3 ms 10064 KB Output is correct
6 Correct 3 ms 10064 KB Output is correct
7 Correct 4 ms 10064 KB Output is correct
8 Correct 3 ms 10064 KB Output is correct
9 Correct 3 ms 10064 KB Output is correct
10 Correct 3 ms 10064 KB Output is correct
11 Correct 3 ms 10064 KB Output is correct
12 Correct 3 ms 10064 KB Output is correct
13 Correct 4 ms 10232 KB Output is correct
14 Correct 3 ms 10064 KB Output is correct
15 Correct 4 ms 10320 KB Output is correct
16 Correct 4 ms 10320 KB Output is correct
17 Correct 3 ms 10320 KB Output is correct
18 Correct 5 ms 10320 KB Output is correct
19 Correct 3 ms 10320 KB Output is correct
20 Correct 3 ms 10064 KB Output is correct
21 Correct 5 ms 10064 KB Output is correct
22 Correct 4 ms 10064 KB Output is correct
23 Correct 4 ms 10064 KB Output is correct
24 Correct 4 ms 10320 KB Output is correct
25 Correct 4 ms 10320 KB Output is correct
26 Correct 4 ms 10320 KB Output is correct
27 Correct 5 ms 10320 KB Output is correct
28 Correct 4 ms 10320 KB Output is correct
29 Correct 3 ms 10064 KB Output is correct
30 Correct 3 ms 10064 KB Output is correct
31 Correct 3 ms 10320 KB Output is correct
32 Correct 4 ms 10320 KB Output is correct
33 Correct 3 ms 10064 KB Output is correct
34 Correct 3 ms 10064 KB Output is correct
35 Correct 3 ms 10064 KB Output is correct
36 Correct 5 ms 10320 KB Output is correct
37 Correct 3 ms 10320 KB Output is correct
38 Correct 4 ms 10320 KB Output is correct
39 Correct 3 ms 10492 KB Output is correct
40 Correct 3 ms 10064 KB Output is correct
41 Correct 3 ms 10064 KB Output is correct
42 Correct 3 ms 10064 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1424 ms 12168 KB Output is correct
2 Correct 1985 ms 16200 KB Output is correct
3 Correct 1926 ms 16136 KB Output is correct
4 Correct 1998 ms 16208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1424 ms 12168 KB Output is correct
2 Correct 1985 ms 16200 KB Output is correct
3 Correct 1926 ms 16136 KB Output is correct
4 Correct 1998 ms 16208 KB Output is correct
5 Correct 1588 ms 12368 KB Output is correct
6 Correct 1991 ms 16208 KB Output is correct
7 Correct 1978 ms 16208 KB Output is correct
8 Correct 1929 ms 16208 KB Output is correct
9 Correct 942 ms 10320 KB Output is correct
10 Correct 1911 ms 10320 KB Output is correct
11 Correct 1886 ms 10320 KB Output is correct
12 Correct 1929 ms 10320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 3 ms 10064 KB Output is correct
3 Correct 3 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 4 ms 10232 KB Output is correct
6 Correct 3 ms 10064 KB Output is correct
7 Correct 4 ms 10320 KB Output is correct
8 Correct 4 ms 10320 KB Output is correct
9 Correct 3 ms 10320 KB Output is correct
10 Correct 5 ms 10320 KB Output is correct
11 Correct 3 ms 10320 KB Output is correct
12 Correct 3 ms 10064 KB Output is correct
13 Correct 1424 ms 12168 KB Output is correct
14 Correct 1985 ms 16200 KB Output is correct
15 Correct 1926 ms 16136 KB Output is correct
16 Correct 1998 ms 16208 KB Output is correct
17 Correct 1588 ms 12368 KB Output is correct
18 Correct 1991 ms 16208 KB Output is correct
19 Correct 1978 ms 16208 KB Output is correct
20 Correct 1929 ms 16208 KB Output is correct
21 Correct 942 ms 10320 KB Output is correct
22 Correct 1911 ms 10320 KB Output is correct
23 Correct 1886 ms 10320 KB Output is correct
24 Correct 1929 ms 10320 KB Output is correct
25 Correct 1983 ms 20100 KB Output is correct
26 Correct 2043 ms 20368 KB Output is correct
27 Correct 2005 ms 20304 KB Output is correct
28 Correct 1657 ms 20376 KB Output is correct
29 Correct 1992 ms 38984 KB Output is correct
30 Correct 1630 ms 38984 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 3 ms 10064 KB Output is correct
3 Correct 3 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 3 ms 10064 KB Output is correct
6 Correct 3 ms 10064 KB Output is correct
7 Correct 4 ms 10064 KB Output is correct
8 Correct 3 ms 10064 KB Output is correct
9 Correct 3 ms 10064 KB Output is correct
10 Correct 3 ms 10064 KB Output is correct
11 Correct 3 ms 10064 KB Output is correct
12 Correct 3 ms 10064 KB Output is correct
13 Correct 4 ms 10232 KB Output is correct
14 Correct 3 ms 10064 KB Output is correct
15 Correct 4 ms 10320 KB Output is correct
16 Correct 4 ms 10320 KB Output is correct
17 Correct 3 ms 10320 KB Output is correct
18 Correct 5 ms 10320 KB Output is correct
19 Correct 3 ms 10320 KB Output is correct
20 Correct 3 ms 10064 KB Output is correct
21 Correct 5 ms 10064 KB Output is correct
22 Correct 4 ms 10064 KB Output is correct
23 Correct 4 ms 10064 KB Output is correct
24 Correct 4 ms 10320 KB Output is correct
25 Correct 4 ms 10320 KB Output is correct
26 Correct 4 ms 10320 KB Output is correct
27 Correct 5 ms 10320 KB Output is correct
28 Correct 4 ms 10320 KB Output is correct
29 Correct 3 ms 10064 KB Output is correct
30 Correct 3 ms 10064 KB Output is correct
31 Correct 3 ms 10320 KB Output is correct
32 Correct 4 ms 10320 KB Output is correct
33 Correct 3 ms 10064 KB Output is correct
34 Correct 3 ms 10064 KB Output is correct
35 Correct 3 ms 10064 KB Output is correct
36 Correct 5 ms 10320 KB Output is correct
37 Correct 3 ms 10320 KB Output is correct
38 Correct 4 ms 10320 KB Output is correct
39 Correct 3 ms 10492 KB Output is correct
40 Correct 3 ms 10064 KB Output is correct
41 Correct 3 ms 10064 KB Output is correct
42 Correct 3 ms 10064 KB Output is correct
43 Correct 1341 ms 10320 KB Output is correct
44 Correct 1848 ms 10320 KB Output is correct
45 Correct 1946 ms 10320 KB Output is correct
46 Correct 1957 ms 10576 KB Output is correct
47 Correct 1911 ms 10576 KB Output is correct
48 Correct 1959 ms 10576 KB Output is correct
49 Correct 1934 ms 10576 KB Output is correct
50 Correct 1878 ms 10576 KB Output is correct
51 Correct 1883 ms 10492 KB Output is correct
52 Correct 1871 ms 10488 KB Output is correct
53 Correct 1775 ms 11344 KB Output is correct
54 Correct 1880 ms 10576 KB Output is correct
55 Correct 1800 ms 10320 KB Output is correct
56 Correct 1886 ms 10320 KB Output is correct
57 Correct 1893 ms 10320 KB Output is correct
58 Correct 1927 ms 11344 KB Output is correct
59 Correct 1917 ms 11600 KB Output is correct
60 Correct 1913 ms 11600 KB Output is correct
61 Correct 1878 ms 10576 KB Output is correct
62 Correct 1906 ms 10320 KB Output is correct
63 Correct 1871 ms 10320 KB Output is correct
64 Correct 1881 ms 10320 KB Output is correct
65 Correct 933 ms 10320 KB Output is correct
66 Correct 1821 ms 10320 KB Output is correct
67 Correct 1904 ms 10320 KB Output is correct
68 Correct 1893 ms 10320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10064 KB Output is correct
2 Correct 3 ms 10064 KB Output is correct
3 Correct 3 ms 10064 KB Output is correct
4 Correct 3 ms 10064 KB Output is correct
5 Correct 3 ms 10064 KB Output is correct
6 Correct 3 ms 10064 KB Output is correct
7 Correct 4 ms 10064 KB Output is correct
8 Correct 3 ms 10064 KB Output is correct
9 Correct 3 ms 10064 KB Output is correct
10 Correct 3 ms 10064 KB Output is correct
11 Correct 3 ms 10064 KB Output is correct
12 Correct 3 ms 10064 KB Output is correct
13 Correct 4 ms 10232 KB Output is correct
14 Correct 3 ms 10064 KB Output is correct
15 Correct 4 ms 10320 KB Output is correct
16 Correct 4 ms 10320 KB Output is correct
17 Correct 3 ms 10320 KB Output is correct
18 Correct 5 ms 10320 KB Output is correct
19 Correct 3 ms 10320 KB Output is correct
20 Correct 3 ms 10064 KB Output is correct
21 Correct 5 ms 10064 KB Output is correct
22 Correct 4 ms 10064 KB Output is correct
23 Correct 4 ms 10064 KB Output is correct
24 Correct 4 ms 10320 KB Output is correct
25 Correct 4 ms 10320 KB Output is correct
26 Correct 4 ms 10320 KB Output is correct
27 Correct 5 ms 10320 KB Output is correct
28 Correct 4 ms 10320 KB Output is correct
29 Correct 3 ms 10064 KB Output is correct
30 Correct 3 ms 10064 KB Output is correct
31 Correct 3 ms 10320 KB Output is correct
32 Correct 4 ms 10320 KB Output is correct
33 Correct 3 ms 10064 KB Output is correct
34 Correct 3 ms 10064 KB Output is correct
35 Correct 3 ms 10064 KB Output is correct
36 Correct 5 ms 10320 KB Output is correct
37 Correct 3 ms 10320 KB Output is correct
38 Correct 4 ms 10320 KB Output is correct
39 Correct 3 ms 10492 KB Output is correct
40 Correct 3 ms 10064 KB Output is correct
41 Correct 3 ms 10064 KB Output is correct
42 Correct 3 ms 10064 KB Output is correct
43 Correct 1424 ms 12168 KB Output is correct
44 Correct 1985 ms 16200 KB Output is correct
45 Correct 1926 ms 16136 KB Output is correct
46 Correct 1998 ms 16208 KB Output is correct
47 Correct 1588 ms 12368 KB Output is correct
48 Correct 1991 ms 16208 KB Output is correct
49 Correct 1978 ms 16208 KB Output is correct
50 Correct 1929 ms 16208 KB Output is correct
51 Correct 942 ms 10320 KB Output is correct
52 Correct 1911 ms 10320 KB Output is correct
53 Correct 1886 ms 10320 KB Output is correct
54 Correct 1929 ms 10320 KB Output is correct
55 Correct 1983 ms 20100 KB Output is correct
56 Correct 2043 ms 20368 KB Output is correct
57 Correct 2005 ms 20304 KB Output is correct
58 Correct 1657 ms 20376 KB Output is correct
59 Correct 1992 ms 38984 KB Output is correct
60 Correct 1630 ms 38984 KB Output is correct
61 Correct 1341 ms 10320 KB Output is correct
62 Correct 1848 ms 10320 KB Output is correct
63 Correct 1946 ms 10320 KB Output is correct
64 Correct 1957 ms 10576 KB Output is correct
65 Correct 1911 ms 10576 KB Output is correct
66 Correct 1959 ms 10576 KB Output is correct
67 Correct 1934 ms 10576 KB Output is correct
68 Correct 1878 ms 10576 KB Output is correct
69 Correct 1883 ms 10492 KB Output is correct
70 Correct 1871 ms 10488 KB Output is correct
71 Correct 1775 ms 11344 KB Output is correct
72 Correct 1880 ms 10576 KB Output is correct
73 Correct 1800 ms 10320 KB Output is correct
74 Correct 1886 ms 10320 KB Output is correct
75 Correct 1893 ms 10320 KB Output is correct
76 Correct 1927 ms 11344 KB Output is correct
77 Correct 1917 ms 11600 KB Output is correct
78 Correct 1913 ms 11600 KB Output is correct
79 Correct 1878 ms 10576 KB Output is correct
80 Correct 1906 ms 10320 KB Output is correct
81 Correct 1871 ms 10320 KB Output is correct
82 Correct 1881 ms 10320 KB Output is correct
83 Correct 933 ms 10320 KB Output is correct
84 Correct 1821 ms 10320 KB Output is correct
85 Correct 1904 ms 10320 KB Output is correct
86 Correct 1893 ms 10320 KB Output is correct
87 Correct 3 ms 10064 KB Output is correct
88 Correct 1203 ms 19784 KB Output is correct
89 Correct 2027 ms 16508 KB Output is correct
90 Correct 2029 ms 16200 KB Output is correct
91 Correct 1912 ms 20296 KB Output is correct
92 Correct 2081 ms 20296 KB Output is correct
93 Correct 2051 ms 20372 KB Output is correct
94 Correct 2089 ms 20296 KB Output is correct
95 Correct 1922 ms 20388 KB Output is correct
96 Correct 1820 ms 16808 KB Output is correct
97 Correct 1955 ms 17004 KB Output is correct
98 Correct 1814 ms 32932 KB Output is correct
99 Correct 2017 ms 20296 KB Output is correct
100 Correct 2067 ms 18428 KB Output is correct
101 Correct 2080 ms 17772 KB Output is correct
102 Correct 1971 ms 16976 KB Output is correct
103 Correct 2073 ms 39060 KB Output is correct
104 Correct 2031 ms 39412 KB Output is correct
105 Correct 2001 ms 39408 KB Output is correct
106 Correct 1947 ms 20304 KB Output is correct
107 Correct 1962 ms 17464 KB Output is correct
108 Correct 2005 ms 17224 KB Output is correct
109 Correct 1946 ms 16976 KB Output is correct