Submission #1110067

#	Time	Username	Problem	Language	Result	Execution time	Memory
1110067		ASN49K	Digital Circuit (IOI22_circuit)	C++17	0 / 100	18 ms	14252 KiB

circuit

#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;

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


void push_down(int nod)
{
    if(lazy[nod])
    {
        swap(dp[2*nod+1][0] , dp[2*nod+1][1]);
        swap(dp[2*nod+2][0] , dp[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;
    //dp[nod][0]=dp[nod][1]=0;
    dp[nod][1]=add(add(prod(dp[l][0],dp[r][1]) , prod(dp[l][1],dp[r][0])) , prod(2,prod(dp[l][1],dp[r][1])));
    dp[nod][0]=add(add(prod(dp[l][0],dp[r][1]) , prod(dp[l][1],dp[r][0])) , prod(2,prod(dp[l][0],dp[r][0])));
}
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(dp[nod][0] , dp[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 init(int nn, int mm, std::vector<int> pp, std::vector<int> init_a)
{
    n=nn;
    m=mm;
    //schimbat n mare
    bool test_mare=true;
    for(int i=1;i<n+m;i++)
    {
        test_mare&=(pp[i]==(i-1)/2);
    }

    if(test_mare)
    {
        for(int i=0;i<m;i++)
        {
            dp[n+i][0]=(init_a[i]==0);
            dp[n+i][1]=(init_a[i]==1);
        }

        for(int i=n-1;i>=0;i--)
        {
            recalc(i);
        }
        //cerr<<"da";
        return;
    }
    for(int i=1;i<n+m;i++)
    {
        g[pp[i]].push_back(i);
    }
    a=init_a;
}

void dfs(int nod)
{
    for(auto &c:g[nod])
    {
        dfs(c);
    }
    int sz=(int)g[nod].size();
    if(g[nod].empty())
    {
        dp[nod][0]=(a[nod-n]==0);
        dp[nod][1]=(a[nod-n]==1);
        return;
    }
    vector<int>choose(sz+1,0);
    choose[0]=1;
    for(auto &c:g[nod])
    {
        for(int i=sz;i>=0;i--)
        {
            choose[i]=prod(choose[i] , dp[c][0]);
            if(i>0)
            {
                add_self(choose[i] , prod(choose[i-1] , dp[c][1]));
            }
        }
    }
    dp[nod][0]=dp[nod][1]=0;
    for(int i=1;i<=sz;i++)
    {
        add_self(dp[nod][0] , prod(choose[i],sz-i));
        add_self(dp[nod][1] , prod(choose[i],i));
    }
    add_self(dp[nod][0],prod(choose[0],sz));
}
int count_ways(int l, int r)
{
    l-=n;
    r-=n;
    if(test_mare)
    {
        if(l<=r)
        {
            update(0,0,m-1,l,r);
        }
    }
    else
    {
        for(int i=l;i<=r;i++)
        {
            a[i]^=1;
        }
        dfs(0);
    }

    return dp[0][1];
}

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