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Submission #1077605

# Submission time Handle Problem Language Result Execution time Memory
1077605 2024-08-27T08:17:28 Z Faisal_Saqib Digital Circuit (IOI22_circuit) C++17
34 / 100
 3000 ms 22496 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const ll NP=2e5+100,mod=1000002022;
ll n,m,p[NP],a[NP];
vector<ll> ma[NP];
ll dp[NP][2],lazy[NP],dp1[NP][2],lc[NP],rc[NP],mi[NP],mx[NP];
void compute(int x=0,bool continue_=1)
{
	dp[x][0]=dp[x][1]=0;
	dp1[x][0]=dp1[x][1]=0;
	if(n<=x){
		dp[x][a[x-n]]=1;
		dp1[x][1-a[x-n]]=1;
		mx[x]=x-n;
		mi[x]=x-n;
		return;
	}
	int sz=ma[x].size();
	vector<int> tmp(sz+1);
	// DP 1
	tmp[0]=1;
	mx[x]=-1e9;
	mi[x]=1e9;
	for(auto y:ma[x])
	{
		if(continue_)
			compute(y);
		mx[x]=max(mx[x],mx[y]);
		mi[x]=min(mi[x],mi[y]);
		for(int j=sz;j>=0;j--)
		{
			if(j==0)
			{
				tmp[j]=(tmp[j]*dp[y][0])%mod;
			}
			else
			{
				tmp[j]=(tmp[j]*dp[y][0])%mod;
				tmp[j]=(tmp[j] + ((tmp[j-1]*dp[y][1])%mod))%mod;
			}
		}
	}
	int sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + tmp[j] ) % mod;
		dp[x][1] = ( dp[x][1] + sm ) % mod;
	}
	sm=tmp[0];
	for(int j=1;j<=sz;j++)
	{
		dp[x][0] = ( dp[x][0] + sm ) % mod;
		sm = ( sm + tmp[j] ) % mod;
	}
 
 
	// Dp 1
	for(int j=0;j<=sz;j++)tmp[j]=0;
	tmp[0]=1;
	for(auto y:ma[x])
	{
		for(int j=sz;j>=0;j--)
		{
			if(j==0)
			{
				tmp[j]=(tmp[j]*dp1[y][0])%mod;
			}
			else
			{
				tmp[j]=(tmp[j]*dp1[y][0])%mod;
				tmp[j]=(tmp[j] + ((tmp[j-1]*dp1[y][1])%mod))%mod;
			}
		}
	}
	sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + tmp[j] ) % mod;
		dp1[x][1] = ( dp1[x][1] + sm ) % mod;
	}
	sm=tmp[0];
	for(int j=1;j<=sz;j++)
	{
		dp1[x][0] = ( dp1[x][0] + sm ) % mod;
		sm = ( sm + tmp[j] ) % mod;
	}
}
void push(int v)
{
	if(!lazy[v])return;
	for(auto y:ma[v])
		lazy[y]^=lazy[v];
	swap(dp[v][0],dp1[v][0]);
	swap(dp[v][1],dp1[v][1]);
	lazy[v]=0;
}
void update(int v,int&ql,int&qr)
{
	// cout<<"WAnt to update "<<ql<<' '<<qr<<" At "<<v<<' '<<mi[v]<<' '<<mx[v]<<endl;
	push(v);
	if(qr<mi[v] or mx[v]<ql) // nothing changes here
		return;
	if(ql<=mi[v] and mx[v]<=qr) // whole subtree to be updated // just swap the values else 
	{
		lazy[v]^=1;
		push(v);
		return;
	}
	int x=v;
	dp[x][0]=dp[x][1]=0;
	dp1[x][0]=dp1[x][1]=0;
	int sz=ma[x].size();
	vector<int> tmp(sz+1);
	tmp[0]=1;
	for(auto y:ma[x])
	{
		update(y,ql,qr);
		for(int j=sz;j>=0;j--)
		{
			if(j==0)
			{
				tmp[j]=(tmp[j]*dp[y][0])%mod;
			}
			else
			{
				tmp[j]=(tmp[j]*dp[y][0])%mod;
				tmp[j]=(tmp[j] + ((tmp[j-1]*dp[y][1])%mod))%mod;
			}
		}
	}
	int sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + tmp[j] ) % mod;
		dp[x][1] = ( dp[x][1] + sm ) % mod;
	}
	sm=tmp[0];
	for(int j=1;j<=sz;j++)
	{
		dp[x][0] = ( dp[x][0] + sm ) % mod;
		sm = ( sm + tmp[j] ) % mod;
	}
 
 
	// Dp 1
	for(int j=0;j<=sz;j++)tmp[j]=0;
	tmp[0]=1;
	for(auto y:ma[x])
	{
		for(int j=sz;j>=0;j--)
		{
			if(j==0)
			{
				tmp[j]=(tmp[j]*dp1[y][0])%mod;
			}
			else
			{
				tmp[j]=(tmp[j]*dp1[y][0])%mod;
				tmp[j]=(tmp[j] + ((tmp[j-1]*dp1[y][1])%mod))%mod;
			}
		}
	}
	sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + tmp[j] ) % mod;
		dp1[x][1] = ( dp1[x][1] + sm ) % mod;
	}
	sm=tmp[0];
	for(int j=1;j<=sz;j++)
	{
		dp1[x][0] = ( dp1[x][0] + sm ) % mod;
		sm = ( sm + tmp[j] ) % mod;
	}
}
void init(int N, int M, std::vector<int> P, std::vector<int> A)
{
	n=N,m=M;
	for(ll i=0;i<n+m;i++)
	{
		p[i]=P[i];
		if(p[i]!=-1)ma[p[i]].push_back(i);
	}
	for(ll j=0;j<m;j++)a[j]=A[j];
	compute();
}
 
int count_ways(int L, int R)
{
	L-=n;
	R-=n;
	update(0,L,R);
	return (int)dp[0][1];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 45 ms 5272 KB Output is correct
4 Correct 48 ms 5292 KB Output is correct
5 Correct 47 ms 5208 KB Output is correct
6 Correct 48 ms 5208 KB Output is correct
7 Correct 47 ms 5208 KB Output is correct
8 Correct 48 ms 5268 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 5208 KB Output is correct
3 Correct 2 ms 5208 KB Output is correct
4 Correct 2 ms 5208 KB Output is correct
5 Correct 3 ms 5208 KB Output is correct
6 Correct 3 ms 5220 KB Output is correct
7 Correct 3 ms 5208 KB Output is correct
8 Correct 3 ms 5208 KB Output is correct
9 Correct 4 ms 5208 KB Output is correct
10 Correct 3 ms 5464 KB Output is correct
11 Correct 3 ms 5464 KB Output is correct
12 Correct 3 ms 5208 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 45 ms 5272 KB Output is correct
4 Correct 48 ms 5292 KB Output is correct
5 Correct 47 ms 5208 KB Output is correct
6 Correct 48 ms 5208 KB Output is correct
7 Correct 47 ms 5208 KB Output is correct
8 Correct 48 ms 5268 KB Output is correct
9 Correct 3 ms 4952 KB Output is correct
10 Correct 2 ms 5208 KB Output is correct
11 Correct 2 ms 5208 KB Output is correct
12 Correct 2 ms 5208 KB Output is correct
13 Correct 3 ms 5208 KB Output is correct
14 Correct 3 ms 5220 KB Output is correct
15 Correct 3 ms 5208 KB Output is correct
16 Correct 3 ms 5208 KB Output is correct
17 Correct 4 ms 5208 KB Output is correct
18 Correct 3 ms 5464 KB Output is correct
19 Correct 3 ms 5464 KB Output is correct
20 Correct 3 ms 5208 KB Output is correct
21 Correct 3 ms 5276 KB Output is correct
22 Correct 3 ms 5208 KB Output is correct
23 Correct 2 ms 5208 KB Output is correct
24 Correct 3 ms 5208 KB Output is correct
25 Correct 4 ms 5208 KB Output is correct
26 Correct 4 ms 5208 KB Output is correct
27 Correct 5 ms 5208 KB Output is correct
28 Correct 3 ms 5208 KB Output is correct
29 Correct 47 ms 5288 KB Output is correct
30 Correct 48 ms 5280 KB Output is correct
31 Correct 3 ms 5208 KB Output is correct
32 Correct 3 ms 5208 KB Output is correct
33 Correct 3 ms 5208 KB Output is correct
34 Correct 3 ms 5068 KB Output is correct
35 Correct 11 ms 5208 KB Output is correct
36 Correct 4 ms 5464 KB Output is correct
37 Correct 49 ms 5464 KB Output is correct
38 Correct 48 ms 5464 KB Output is correct
39 Correct 2 ms 5208 KB Output is correct
40 Correct 5 ms 5300 KB Output is correct
41 Correct 3 ms 5208 KB Output is correct
42 Correct 3 ms 5232 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 681 ms 10840 KB Output is correct
2 Correct 964 ms 16384 KB Output is correct
3 Correct 969 ms 16460 KB Output is correct
4 Correct 1027 ms 16456 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 681 ms 10840 KB Output is correct
2 Correct 964 ms 16384 KB Output is correct
3 Correct 969 ms 16460 KB Output is correct
4 Correct 1027 ms 16456 KB Output is correct
5 Correct 936 ms 10960 KB Output is correct
6 Correct 1168 ms 16724 KB Output is correct
7 Correct 1136 ms 16720 KB Output is correct
8 Correct 1012 ms 16472 KB Output is correct
9 Correct 429 ms 5464 KB Output is correct
10 Correct 887 ms 5720 KB Output is correct
11 Correct 876 ms 5720 KB Output is correct
12 Correct 843 ms 5720 KB Output is correct

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Correct 2 ms 5208 KB Output is correct
3 Correct 2 ms 5208 KB Output is correct
4 Correct 2 ms 5208 KB Output is correct
5 Correct 3 ms 5208 KB Output is correct
6 Correct 3 ms 5220 KB Output is correct
7 Correct 3 ms 5208 KB Output is correct
8 Correct 3 ms 5208 KB Output is correct
9 Correct 4 ms 5208 KB Output is correct
10 Correct 3 ms 5464 KB Output is correct
11 Correct 3 ms 5464 KB Output is correct
12 Correct 3 ms 5208 KB Output is correct
13 Correct 681 ms 10840 KB Output is correct
14 Correct 964 ms 16384 KB Output is correct
15 Correct 969 ms 16460 KB Output is correct
16 Correct 1027 ms 16456 KB Output is correct
17 Correct 936 ms 10960 KB Output is correct
18 Correct 1168 ms 16724 KB Output is correct
19 Correct 1136 ms 16720 KB Output is correct
20 Correct 1012 ms 16472 KB Output is correct
21 Correct 429 ms 5464 KB Output is correct
22 Correct 887 ms 5720 KB Output is correct
23 Correct 876 ms 5720 KB Output is correct
24 Correct 843 ms 5720 KB Output is correct
25 Execution timed out 3097 ms 22496 KB Time limit exceeded
26 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 45 ms 5272 KB Output is correct
4 Correct 48 ms 5292 KB Output is correct
5 Correct 47 ms 5208 KB Output is correct
6 Correct 48 ms 5208 KB Output is correct
7 Correct 47 ms 5208 KB Output is correct
8 Correct 48 ms 5268 KB Output is correct
9 Correct 3 ms 4952 KB Output is correct
10 Correct 2 ms 5208 KB Output is correct
11 Correct 2 ms 5208 KB Output is correct
12 Correct 2 ms 5208 KB Output is correct
13 Correct 3 ms 5208 KB Output is correct
14 Correct 3 ms 5220 KB Output is correct
15 Correct 3 ms 5208 KB Output is correct
16 Correct 3 ms 5208 KB Output is correct
17 Correct 4 ms 5208 KB Output is correct
18 Correct 3 ms 5464 KB Output is correct
19 Correct 3 ms 5464 KB Output is correct
20 Correct 3 ms 5208 KB Output is correct
21 Correct 3 ms 5276 KB Output is correct
22 Correct 3 ms 5208 KB Output is correct
23 Correct 2 ms 5208 KB Output is correct
24 Correct 3 ms 5208 KB Output is correct
25 Correct 4 ms 5208 KB Output is correct
26 Correct 4 ms 5208 KB Output is correct
27 Correct 5 ms 5208 KB Output is correct
28 Correct 3 ms 5208 KB Output is correct
29 Correct 47 ms 5288 KB Output is correct
30 Correct 48 ms 5280 KB Output is correct
31 Correct 3 ms 5208 KB Output is correct
32 Correct 3 ms 5208 KB Output is correct
33 Correct 3 ms 5208 KB Output is correct
34 Correct 3 ms 5068 KB Output is correct
35 Correct 11 ms 5208 KB Output is correct
36 Correct 4 ms 5464 KB Output is correct
37 Correct 49 ms 5464 KB Output is correct
38 Correct 48 ms 5464 KB Output is correct
39 Correct 2 ms 5208 KB Output is correct
40 Correct 5 ms 5300 KB Output is correct
41 Correct 3 ms 5208 KB Output is correct
42 Correct 3 ms 5232 KB Output is correct
43 Execution timed out 3052 ms 5720 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4952 KB Output is correct
3 Correct 45 ms 5272 KB Output is correct
4 Correct 48 ms 5292 KB Output is correct
5 Correct 47 ms 5208 KB Output is correct
6 Correct 48 ms 5208 KB Output is correct
7 Correct 47 ms 5208 KB Output is correct
8 Correct 48 ms 5268 KB Output is correct
9 Correct 3 ms 4952 KB Output is correct
10 Correct 2 ms 5208 KB Output is correct
11 Correct 2 ms 5208 KB Output is correct
12 Correct 2 ms 5208 KB Output is correct
13 Correct 3 ms 5208 KB Output is correct
14 Correct 3 ms 5220 KB Output is correct
15 Correct 3 ms 5208 KB Output is correct
16 Correct 3 ms 5208 KB Output is correct
17 Correct 4 ms 5208 KB Output is correct
18 Correct 3 ms 5464 KB Output is correct
19 Correct 3 ms 5464 KB Output is correct
20 Correct 3 ms 5208 KB Output is correct
21 Correct 3 ms 5276 KB Output is correct
22 Correct 3 ms 5208 KB Output is correct
23 Correct 2 ms 5208 KB Output is correct
24 Correct 3 ms 5208 KB Output is correct
25 Correct 4 ms 5208 KB Output is correct
26 Correct 4 ms 5208 KB Output is correct
27 Correct 5 ms 5208 KB Output is correct
28 Correct 3 ms 5208 KB Output is correct
29 Correct 47 ms 5288 KB Output is correct
30 Correct 48 ms 5280 KB Output is correct
31 Correct 3 ms 5208 KB Output is correct
32 Correct 3 ms 5208 KB Output is correct
33 Correct 3 ms 5208 KB Output is correct
34 Correct 3 ms 5068 KB Output is correct
35 Correct 11 ms 5208 KB Output is correct
36 Correct 4 ms 5464 KB Output is correct
37 Correct 49 ms 5464 KB Output is correct
38 Correct 48 ms 5464 KB Output is correct
39 Correct 2 ms 5208 KB Output is correct
40 Correct 5 ms 5300 KB Output is correct
41 Correct 3 ms 5208 KB Output is correct
42 Correct 3 ms 5232 KB Output is correct
43 Correct 681 ms 10840 KB Output is correct
44 Correct 964 ms 16384 KB Output is correct
45 Correct 969 ms 16460 KB Output is correct
46 Correct 1027 ms 16456 KB Output is correct
47 Correct 936 ms 10960 KB Output is correct
48 Correct 1168 ms 16724 KB Output is correct
49 Correct 1136 ms 16720 KB Output is correct
50 Correct 1012 ms 16472 KB Output is correct
51 Correct 429 ms 5464 KB Output is correct
52 Correct 887 ms 5720 KB Output is correct
53 Correct 876 ms 5720 KB Output is correct
54 Correct 843 ms 5720 KB Output is correct
55 Execution timed out 3097 ms 22496 KB Time limit exceeded
56 Halted 0 ms 0 KB -