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Submission #1077976

# Submission time Handle Problem Language Result Execution time Memory
1077976 2024-08-27T11:20:44 Z pcc Digital Circuit (IOI22_circuit) C++17
2 / 100
 3000 ms 8104 KB 
#include "circuit.h"

#include <vector>
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll,ll>
#define fs first
#define sc second

const int mxn = 2e5+10;

const ll mod = 100002022;

vector<int> tree[mxn];
int par[mxn];
int N,M;
ll dp[mxn][2];

ll mad(ll a,ll b){
	a += b;
	return a>=mod?a-mod:a;
}
ll mub(ll a,ll b){
	return mad(a,mod-b);
}

pll calc(vector<ll>& a,vector<ll>& b){
	vector<vector<ll>> dp(2,vector<ll>(a.size()+1,0));
	int r = 0;
	int s = a.size();
	dp[r][0] = a[0];
	dp[r][1] = b[0];
	for(int i = 1;i<s;i++){
		r ^= 1;
		fill(dp[r].begin(),dp[r].end(),0);
		for(int j = 0;j<=i+1;j++){
			dp[r][j] = mad(dp[r][j],dp[r^1][j]*a[i]%mod);
			if(j)dp[r][j] = mad(dp[r][j],dp[r^1][j-1]*b[i]%mod);
		}
	}
	for(int i = 1;i<=s;i++){
		dp[r][i] = mad(dp[r][i],dp[r][i-1]);
	}
	ll tot = mad(a[0],b[0]);
	for(int i = 1;i<a.size();i++)tot = tot*mad(a[i],b[i])%mod%mod;
	tot = tot*s%mod;
	pll re = pll(0,0);
	for(int c = 1;c<=s;c++){
		re.fs = mad(re.fs,dp[r][c-1]);
		re.sc = mad(re.sc,mub(dp[r][s],dp[r][c-1]));
	}
	assert(mad(re.fs,re.sc) == tot);
	/*
	cerr<<"CALC: "<<endl;
	for(auto &i:a)cerr<<i<<' ';cerr<<endl;
	for(auto &i:b)cerr<<i<<' ';cerr<<endl;
	for(auto &i:dp[r])cerr<<i<<' ';cerr<<endl;
	cerr<<re.fs<<','<<re.sc<<"::"<<tot<<endl;
	*/
	return re;
}

void dfs(int now){
	if(tree[now].empty())return;
	vector<ll> v1,v2;
	for(auto nxt:tree[now]){
		dfs(nxt);
		v1.push_back(dp[nxt][0]);
		v2.push_back(dp[nxt][1]);
	}
	auto [a,b] = calc(v1,v2);
	assert(a<mod&&b<mod);
	dp[now][0] = a,dp[now][1] = b;
	//cerr<<now<<":"<<dp[now][0]<<' '<<dp[now][1]<<endl;
	return;
}

void init(int N1, int M1, std::vector<int> P, std::vector<int> A) {
	N = N1,M = M1;
	for(int i = 1;i<N+M;i++){
		par[i] = P[i];
		tree[par[i]].push_back(i);
	}
	for(int i = 0;i<M;i++){
		dp[i+N][A[i]] = 1;
	}
	dfs(0);
	//for(int i = 0;i<N+M;i++)cerr<<dp[i][0]<<','<<dp[i][1]<<' ';cerr<<endl;
}

int count_ways(int L, int R) {
	for(int i = L;i<=R;i++){
		dp[i][0] ^= 1;
		dp[i][1] ^= 1;
	}
	dfs(0);
	return dp[0][1];
}

Compilation message

circuit.cpp: In function 'std::pair<long long int, long long int> calc(std::vector<long long int>&, std::vector<long long int>&)':
circuit.cpp:46:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   46 |  for(int i = 1;i<a.size();i++)tot = tot*mad(a[i],b[i])%mod%mod;
      |                ~^~~~~~~~~

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 14 ms 5208 KB Output is correct
4 Correct 15 ms 5208 KB Output is correct
5 Correct 15 ms 5208 KB Output is correct
6 Correct 19 ms 5208 KB Output is correct
7 Correct 22 ms 5208 KB Output is correct
8 Correct 15 ms 5208 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Incorrect 3 ms 4952 KB 1st lines differ - on the 1st token, expected: '52130940', found: '57429070'
3 Halted 0 ms 0 KB -

Subtask #3
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 14 ms 5208 KB Output is correct
4 Correct 15 ms 5208 KB Output is correct
5 Correct 15 ms 5208 KB Output is correct
6 Correct 19 ms 5208 KB Output is correct
7 Correct 22 ms 5208 KB Output is correct
8 Correct 15 ms 5208 KB Output is correct
9 Correct 3 ms 4952 KB Output is correct
10 Incorrect 3 ms 4952 KB 1st lines differ - on the 1st token, expected: '52130940', found: '57429070'
11 Halted 0 ms 0 KB -

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3084 ms 8104 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3084 ms 8104 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4952 KB Output is correct
2 Incorrect 3 ms 4952 KB 1st lines differ - on the 1st token, expected: '52130940', found: '57429070'
3 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 14 ms 5208 KB Output is correct
4 Correct 15 ms 5208 KB Output is correct
5 Correct 15 ms 5208 KB Output is correct
6 Correct 19 ms 5208 KB Output is correct
7 Correct 22 ms 5208 KB Output is correct
8 Correct 15 ms 5208 KB Output is correct
9 Correct 3 ms 4952 KB Output is correct
10 Incorrect 3 ms 4952 KB 1st lines differ - on the 1st token, expected: '52130940', found: '57429070'
11 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 14 ms 5208 KB Output is correct
4 Correct 15 ms 5208 KB Output is correct
5 Correct 15 ms 5208 KB Output is correct
6 Correct 19 ms 5208 KB Output is correct
7 Correct 22 ms 5208 KB Output is correct
8 Correct 15 ms 5208 KB Output is correct
9 Correct 3 ms 4952 KB Output is correct
10 Incorrect 3 ms 4952 KB 1st lines differ - on the 1st token, expected: '52130940', found: '57429070'
11 Halted 0 ms 0 KB -