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Submission #1077653

# Submission time Handle Problem Language Result Execution time Memory
1077653 2024-08-27T08:30:00 Z Faisal_Saqib Digital Circuit (IOI22_circuit) C++17
34 / 100
 3000 ms 36580 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];
const int KP=100;
vector<ll> knapsack[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();
	if(knapsack[x].size()==0)knapsack[x].resize(sz+2,0);
	for(int j=0;j<=sz;j++)knapsack[x][j]=0;
	knapsack[x][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)
			{
				knapsack[x][j]=(knapsack[x][j]*dp[y][0])%mod;
			}
			else
			{
				knapsack[x][j]=(knapsack[x][j]*dp[y][0])%mod;
				knapsack[x][j]=(knapsack[x][j] + ((knapsack[x][j-1]*dp[y][1])%mod))%mod;
			}
		}
	}
	int sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + knapsack[x][j] ) % mod;
		dp[x][1] = ( dp[x][1] + sm ) % mod;
	}
	sm=knapsack[x][0];
	for(int j=1;j<=sz;j++)
	{
		dp[x][0] = ( dp[x][0] + sm ) % mod;
		sm = ( sm + knapsack[x][j] ) % mod;
	}
 
 
	// Dp 1
	for(int j=0;j<=sz;j++)knapsack[x][j]=0;
	knapsack[x][0]=1;
	for(auto y:ma[x])
	{
		for(int j=sz;j>=0;j--)
		{
			if(j==0)
			{
				knapsack[x][j]=(knapsack[x][j]*dp1[y][0])%mod;
			}
			else
			{
				knapsack[x][j]=(knapsack[x][j]*dp1[y][0])%mod;
				knapsack[x][j]=(knapsack[x][j] + ((knapsack[x][j-1]*dp1[y][1])%mod))%mod;
			}
		}
	}
	sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + knapsack[x][j] ) % mod;
		dp1[x][1] = ( dp1[x][1] + sm ) % mod;
	}
	sm=knapsack[x][0];
	for(int j=1;j<=sz;j++)
	{
		dp1[x][0] = ( dp1[x][0] + sm ) % mod;
		sm = ( sm + knapsack[x][j] ) % mod;
	}
}
void push(int&v)
{
	if(!lazy[v])return;
	for(ll&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();
	for(int j=0;j<=sz;j++)knapsack[x][j]=0;
	knapsack[x][0]=1;
	for(ll&y:ma[x])
	{
		update(y,ql,qr);
		for(int j=sz;j>=0;j--)
		{
			if(j==0)
			{
				knapsack[x][j]=(knapsack[x][j]*dp[y][0])%mod;
			}
			else
			{
				knapsack[x][j]=(knapsack[x][j]*dp[y][0])%mod;
				knapsack[x][j]=(knapsack[x][j] + ((knapsack[x][j-1]*dp[y][1])%mod))%mod;
			}
		}
	}
	int sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + knapsack[x][j] ) % mod;
		dp[x][1] = ( dp[x][1] + sm ) % mod;
	}
	sm=knapsack[x][0];
	for(int j=1;j<=sz;j++)
	{
		dp[x][0] = ( dp[x][0] + sm ) % mod;
		sm = ( sm + knapsack[x][j] ) % mod;
	}
 
 
	// Dp 1
	for(int j=0;j<=sz;j++)knapsack[x][j]=0;
	knapsack[x][0]=1;
	for(auto y:ma[x])
	{
		for(int j=sz;j>=0;j--)
		{
			if(j==0)
			{
				knapsack[x][j]=(knapsack[x][j]*dp1[y][0])%mod;
			}
			else
			{
				knapsack[x][j]=(knapsack[x][j]*dp1[y][0])%mod;
				knapsack[x][j]=(knapsack[x][j] + ((knapsack[x][j-1]*dp1[y][1])%mod))%mod;
			}
		}
	}
	sm=0;
	for(int j=sz;j>=1;j--)
	{
		sm = ( sm + knapsack[x][j] ) % mod;
		dp1[x][1] = ( dp1[x][1] + sm ) % mod;
	}
	sm=knapsack[x][0];
	for(int j=1;j<=sz;j++)
	{
		dp1[x][0] = ( dp1[x][0] + sm ) % mod;
		sm = ( sm + knapsack[x][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 3 ms 12632 KB Output is correct
2 Correct 4 ms 9816 KB Output is correct
3 Correct 46 ms 9816 KB Output is correct
4 Correct 48 ms 9816 KB Output is correct
5 Correct 48 ms 9816 KB Output is correct
6 Correct 49 ms 9816 KB Output is correct
7 Correct 46 ms 12892 KB Output is correct
8 Correct 48 ms 18776 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9816 KB Output is correct
2 Correct 6 ms 9816 KB Output is correct
3 Correct 4 ms 18776 KB Output is correct
4 Correct 4 ms 9816 KB Output is correct
5 Correct 4 ms 9976 KB Output is correct
6 Correct 5 ms 9816 KB Output is correct
7 Correct 8 ms 10072 KB Output is correct
8 Correct 3 ms 19032 KB Output is correct
9 Correct 3 ms 19032 KB Output is correct
10 Correct 5 ms 10072 KB Output is correct
11 Correct 6 ms 10072 KB Output is correct
12 Correct 7 ms 10072 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12632 KB Output is correct
2 Correct 4 ms 9816 KB Output is correct
3 Correct 46 ms 9816 KB Output is correct
4 Correct 48 ms 9816 KB Output is correct
5 Correct 48 ms 9816 KB Output is correct
6 Correct 49 ms 9816 KB Output is correct
7 Correct 46 ms 12892 KB Output is correct
8 Correct 48 ms 18776 KB Output is correct
9 Correct 5 ms 9816 KB Output is correct
10 Correct 6 ms 9816 KB Output is correct
11 Correct 4 ms 18776 KB Output is correct
12 Correct 4 ms 9816 KB Output is correct
13 Correct 4 ms 9976 KB Output is correct
14 Correct 5 ms 9816 KB Output is correct
15 Correct 8 ms 10072 KB Output is correct
16 Correct 3 ms 19032 KB Output is correct
17 Correct 3 ms 19032 KB Output is correct
18 Correct 5 ms 10072 KB Output is correct
19 Correct 6 ms 10072 KB Output is correct
20 Correct 7 ms 10072 KB Output is correct
21 Correct 4 ms 14936 KB Output is correct
22 Correct 4 ms 11096 KB Output is correct
23 Correct 4 ms 11096 KB Output is correct
24 Correct 4 ms 11352 KB Output is correct
25 Correct 3 ms 19032 KB Output is correct
26 Correct 3 ms 12888 KB Output is correct
27 Correct 4 ms 11352 KB Output is correct
28 Correct 5 ms 11348 KB Output is correct
29 Correct 47 ms 14676 KB Output is correct
30 Correct 47 ms 12888 KB Output is correct
31 Correct 3 ms 19032 KB Output is correct
32 Correct 4 ms 14936 KB Output is correct
33 Correct 5 ms 9816 KB Output is correct
34 Correct 3 ms 18776 KB Output is correct
35 Correct 10 ms 18776 KB Output is correct
36 Correct 6 ms 10192 KB Output is correct
37 Correct 50 ms 10072 KB Output is correct
38 Correct 67 ms 13140 KB Output is correct
39 Correct 3 ms 18776 KB Output is correct
40 Correct 4 ms 12888 KB Output is correct
41 Correct 4 ms 9816 KB Output is correct
42 Correct 5 ms 9984 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 672 ms 24860 KB Output is correct
2 Correct 1012 ms 26960 KB Output is correct
3 Correct 936 ms 30808 KB Output is correct
4 Correct 995 ms 25940 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 672 ms 24860 KB Output is correct
2 Correct 1012 ms 26960 KB Output is correct
3 Correct 936 ms 30808 KB Output is correct
4 Correct 995 ms 25940 KB Output is correct
5 Correct 879 ms 25120 KB Output is correct
6 Correct 1149 ms 31144 KB Output is correct
7 Correct 1235 ms 24488 KB Output is correct
8 Correct 912 ms 30664 KB Output is correct
9 Correct 425 ms 19032 KB Output is correct
10 Correct 857 ms 21336 KB Output is correct
11 Correct 893 ms 21336 KB Output is correct
12 Correct 819 ms 21336 KB Output is correct

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9816 KB Output is correct
2 Correct 6 ms 9816 KB Output is correct
3 Correct 4 ms 18776 KB Output is correct
4 Correct 4 ms 9816 KB Output is correct
5 Correct 4 ms 9976 KB Output is correct
6 Correct 5 ms 9816 KB Output is correct
7 Correct 8 ms 10072 KB Output is correct
8 Correct 3 ms 19032 KB Output is correct
9 Correct 3 ms 19032 KB Output is correct
10 Correct 5 ms 10072 KB Output is correct
11 Correct 6 ms 10072 KB Output is correct
12 Correct 7 ms 10072 KB Output is correct
13 Correct 672 ms 24860 KB Output is correct
14 Correct 1012 ms 26960 KB Output is correct
15 Correct 936 ms 30808 KB Output is correct
16 Correct 995 ms 25940 KB Output is correct
17 Correct 879 ms 25120 KB Output is correct
18 Correct 1149 ms 31144 KB Output is correct
19 Correct 1235 ms 24488 KB Output is correct
20 Correct 912 ms 30664 KB Output is correct
21 Correct 425 ms 19032 KB Output is correct
22 Correct 857 ms 21336 KB Output is correct
23 Correct 893 ms 21336 KB Output is correct
24 Correct 819 ms 21336 KB Output is correct
25 Execution timed out 3096 ms 36580 KB Time limit exceeded
26 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12632 KB Output is correct
2 Correct 4 ms 9816 KB Output is correct
3 Correct 46 ms 9816 KB Output is correct
4 Correct 48 ms 9816 KB Output is correct
5 Correct 48 ms 9816 KB Output is correct
6 Correct 49 ms 9816 KB Output is correct
7 Correct 46 ms 12892 KB Output is correct
8 Correct 48 ms 18776 KB Output is correct
9 Correct 5 ms 9816 KB Output is correct
10 Correct 6 ms 9816 KB Output is correct
11 Correct 4 ms 18776 KB Output is correct
12 Correct 4 ms 9816 KB Output is correct
13 Correct 4 ms 9976 KB Output is correct
14 Correct 5 ms 9816 KB Output is correct
15 Correct 8 ms 10072 KB Output is correct
16 Correct 3 ms 19032 KB Output is correct
17 Correct 3 ms 19032 KB Output is correct
18 Correct 5 ms 10072 KB Output is correct
19 Correct 6 ms 10072 KB Output is correct
20 Correct 7 ms 10072 KB Output is correct
21 Correct 4 ms 14936 KB Output is correct
22 Correct 4 ms 11096 KB Output is correct
23 Correct 4 ms 11096 KB Output is correct
24 Correct 4 ms 11352 KB Output is correct
25 Correct 3 ms 19032 KB Output is correct
26 Correct 3 ms 12888 KB Output is correct
27 Correct 4 ms 11352 KB Output is correct
28 Correct 5 ms 11348 KB Output is correct
29 Correct 47 ms 14676 KB Output is correct
30 Correct 47 ms 12888 KB Output is correct
31 Correct 3 ms 19032 KB Output is correct
32 Correct 4 ms 14936 KB Output is correct
33 Correct 5 ms 9816 KB Output is correct
34 Correct 3 ms 18776 KB Output is correct
35 Correct 10 ms 18776 KB Output is correct
36 Correct 6 ms 10192 KB Output is correct
37 Correct 50 ms 10072 KB Output is correct
38 Correct 67 ms 13140 KB Output is correct
39 Correct 3 ms 18776 KB Output is correct
40 Correct 4 ms 12888 KB Output is correct
41 Correct 4 ms 9816 KB Output is correct
42 Correct 5 ms 9984 KB Output is correct
43 Execution timed out 3070 ms 21336 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12632 KB Output is correct
2 Correct 4 ms 9816 KB Output is correct
3 Correct 46 ms 9816 KB Output is correct
4 Correct 48 ms 9816 KB Output is correct
5 Correct 48 ms 9816 KB Output is correct
6 Correct 49 ms 9816 KB Output is correct
7 Correct 46 ms 12892 KB Output is correct
8 Correct 48 ms 18776 KB Output is correct
9 Correct 5 ms 9816 KB Output is correct
10 Correct 6 ms 9816 KB Output is correct
11 Correct 4 ms 18776 KB Output is correct
12 Correct 4 ms 9816 KB Output is correct
13 Correct 4 ms 9976 KB Output is correct
14 Correct 5 ms 9816 KB Output is correct
15 Correct 8 ms 10072 KB Output is correct
16 Correct 3 ms 19032 KB Output is correct
17 Correct 3 ms 19032 KB Output is correct
18 Correct 5 ms 10072 KB Output is correct
19 Correct 6 ms 10072 KB Output is correct
20 Correct 7 ms 10072 KB Output is correct
21 Correct 4 ms 14936 KB Output is correct
22 Correct 4 ms 11096 KB Output is correct
23 Correct 4 ms 11096 KB Output is correct
24 Correct 4 ms 11352 KB Output is correct
25 Correct 3 ms 19032 KB Output is correct
26 Correct 3 ms 12888 KB Output is correct
27 Correct 4 ms 11352 KB Output is correct
28 Correct 5 ms 11348 KB Output is correct
29 Correct 47 ms 14676 KB Output is correct
30 Correct 47 ms 12888 KB Output is correct
31 Correct 3 ms 19032 KB Output is correct
32 Correct 4 ms 14936 KB Output is correct
33 Correct 5 ms 9816 KB Output is correct
34 Correct 3 ms 18776 KB Output is correct
35 Correct 10 ms 18776 KB Output is correct
36 Correct 6 ms 10192 KB Output is correct
37 Correct 50 ms 10072 KB Output is correct
38 Correct 67 ms 13140 KB Output is correct
39 Correct 3 ms 18776 KB Output is correct
40 Correct 4 ms 12888 KB Output is correct
41 Correct 4 ms 9816 KB Output is correct
42 Correct 5 ms 9984 KB Output is correct
43 Correct 672 ms 24860 KB Output is correct
44 Correct 1012 ms 26960 KB Output is correct
45 Correct 936 ms 30808 KB Output is correct
46 Correct 995 ms 25940 KB Output is correct
47 Correct 879 ms 25120 KB Output is correct
48 Correct 1149 ms 31144 KB Output is correct
49 Correct 1235 ms 24488 KB Output is correct
50 Correct 912 ms 30664 KB Output is correct
51 Correct 425 ms 19032 KB Output is correct
52 Correct 857 ms 21336 KB Output is correct
53 Correct 893 ms 21336 KB Output is correct
54 Correct 819 ms 21336 KB Output is correct
55 Execution timed out 3096 ms 36580 KB Time limit exceeded
56 Halted 0 ms 0 KB -