Submission #1110137

#	Time	Username	Problem	Language	Result	Execution time	Memory
1110137		ASN49K	Digital Circuit (IOI22_circuit)	C++17	100 / 100	2089 ms	39412 KiB

circuit

#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];
}

• Subtask 1: 2 / 2
• Subtask 2: 7 / 7
• Subtask 3: 9 / 9
• Subtask 4: 4 / 4
• Subtask 5: 12 / 12
• Subtask 6: 27 / 27
• Subtask 7: 28 / 28
• Subtask 8: 11 / 11