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Submission #835840

# Submission time Handle Problem Language Result Execution time Memory
835840 2023-08-23T21:08:06 Z APROHACK Digital Circuit (IOI22_circuit) C++17
34 / 100
 3000 ms 49348 KB 
#include "circuit.h"
#include <bits/stdc++.h>
#define ll long long
#define ff first
#define ss second
#define pb push_back
using namespace std;
int n, m;
vector<int>child[200001];
bool state[200001];
ll encen[200001][2]; // encendido y apagado
const ll MOD = 1000002022;
ll past[2002][2002];
void generate(int node);
int parent[200002];
bool casito = true;
ll aporte[200002];
ll prefix[200002];
ll T[200002];
ll ans = 0;

#define isCase4 false  


// seg tree

ll sumaUno[200005*4];
ll sumaCero[200005*4];
bool lazy[200005*4];
ll aux1[200005];
ll aux0[200005];
int mid[200005*4];
void upd(int node);
void cambiar(int node, int dd, int ht, int l, int r);
void generate(int node, int dd, int ht){
	mid[node] = (dd + ht)/2;
	if(dd == ht){
		sumaUno[node] = aux1[dd];
		sumaCero[node] = aux0[dd];
	}else{
		generate(node*2, dd, mid[node]);
		generate(node * 2 + 1, mid[node] + 1, ht );
		upd(node);
	}
}
ll get1(int node){
	if(lazy[node]){
		return sumaCero[node];
	}else return sumaUno[node];
}
ll get0(int node){
	if(lazy[node]){
		return sumaUno[node];
	}else return sumaCero[node];
}
void upd(int node){
	sumaUno[node] = (get1(node*2) + get1(node*2+1))%MOD;
	sumaCero[node] = (get0(node*2) + get0(node*2+1))%MOD;
}
void prop(int node, int dd, int ht){
	if(lazy[node] ){
		//cout << "propagating from " << dd << " " << ht << endl;
		if(dd == ht)swap(sumaCero[node], sumaUno[node]);
		else{
			cambiar(node*2, dd, mid[node], dd, mid[node]);
			cambiar(node*2+1, mid[node] + 1, ht, mid[node] + 1, ht);
		}
	}
}
void cambiar(int node, int dd, int ht, int l, int r){
	if(dd == l and ht == r){
		lazy[node] = !lazy[node];
		//cout << "node " << dd << " " << ht << " exc " << lazy[node] << endl;
	}
	else{
		prop(node, dd, ht);
		lazy[node] = 0;
		if(r <= mid[node])cambiar(node * 2, dd, mid[node], l, r);
		else if(mid[node] < l)cambiar(node*2+1, mid[node]+1, ht, l, r);
		else{
			cambiar(node*2, dd, mid[node], l, mid[node]);
			cambiar(node*2+1, mid[node]+1, ht, mid[node] + 1, r);
		}
		upd(node);
		//cout << "node " << dd << " " << ht << " updated ";
		//cout << get1(node) << " " << get0(node) << endl;
	}
}


void precalc(int node){
	T[node] = 1;
	if(node >= n)return ;
	for(int i = 0 ; i < child[node].size() ; i ++){
		precalc(child[node][i]);
		T[node]  = T[node] * T[child[node][i]] % MOD;
	}	
	T[node] = T[node] * (ll)child[node].size() % MOD;
}
void calcPrefix(int node, ll acum){
	if(node >= n){
		aporte[node] = acum;	
		//cout << "aporte de " << node << ": " << acum << endl;
		sumaUno[node] = 0;
		sumaCero[node] = 0;
		if(state[node])aux1[node] = aporte[node];
		else aux0[node] = aporte[node];
		return ;
	}
	int hijo1 = child[node][0];
	int hijo2 = child[node][1];
	calcPrefix(hijo1, (acum * T[hijo2]) % MOD);
	calcPrefix(hijo2, (acum * T[hijo1]) % MOD);
}


//
void init(int N, int M, std::vector<int> P, std::vector<int> A) {
	n = N;
	m = M;
	if( m != n+1 )casito = false;
	for(int i = 0 ; i < n+m ; i ++){
		if(P[i] != -1){
			child[P[i]].pb(i);
			if(P[i] != (i-1)/2)casito = false;
		}
		parent[i] = P[i];
	}
	int temp = m;
	while(temp != 1){
		if(temp % 2 == 1)casito = false;
		temp /= 2;
	}
	//assert(casito);
	for(int i = N ; i <= N+M ; i ++){
		state[i] = A[i-N];
	}
	memset(past, -1, sizeof past);
	memset(lazy, false, sizeof lazy);
	generate(0);
	ans = encen[0][0];
	if(isCase4  or (  casito and (n > 1000 or m > 1000) ) ){
		precalc(0);
		calcPrefix(0, 1);
		generate(1, n, n+m-1);
	}

	
}

ll mem[2002][2002];
ll currentIt = -1 ;
void newDp(){
	currentIt++;
}
ll dp(int parent, ll i, int k){
	if(k < 0)return 0;
	if(i == child[parent].size() and k > 0)return 0;
	else if(i == child[parent].size()) return 1;
	if(past[i][k] == currentIt)return mem[i][k];
	past[i][k] = currentIt;
	return mem[i][k] = ((dp(parent, i+1, k-1) * encen[child[parent][i]][0] % MOD) + ((dp(parent, i+1, k) * encen[child[parent][i]][1])%MOD))%MOD;
}

void generate(int node){
	if(node >= n){
		if(state[node]){
			encen[node][0] = 1;
			encen[node][1] = 0;
		}else{
			encen[node][0] = 0;
			encen[node][1] = 1;

		}
		return ;
	}
	for(int i = 0 ; i < child[node].size() ; i ++){
		generate(child[node][i]);
	}
	newDp();
	ll enc = 0, inv = 0;
	for(ll i = 1 ; i <= child[node].size() ; i ++){
		enc += dp(node, 0, i) * i % MOD;
		enc %= MOD;
	}
	ll allWays = 1;
	for(int i = 0 ; i < child[node].size() ; i ++){
		allWays *= (encen[child[node][i]][0] + encen[child[node][i]][1])%MOD;
		allWays %= MOD;
	}
	allWays *= (ll)child[node].size();
	allWays %= MOD;
	encen[node][0] = enc;
	encen[node][1] = ((allWays - enc) + MOD) % MOD;
	//cout << "for node " << node << " there are " << encen[node][0] << ", " << encen[node][1] << "\n";
}
	

int count_ways(int L, int R) {
		if(isCase4  or (  casito and (n > 1000 or m > 1000) ) ){
		cambiar(1, n, n+m-1, L, R);
		return get1(1);
	}
	else {
		for(int i = L ; i <= R ; i ++){
			state[i] = !state[i];
		}

		generate(0);

	}
	return encen[0][0];
}

Compilation message

circuit.cpp: In function 'void precalc(int)':
circuit.cpp:94:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 |  for(int i = 0 ; i < child[node].size() ; i ++){
      |                  ~~^~~~~~~~~~~~~~~~~~~~
circuit.cpp: In function 'long long int dp(int, long long int, int)':
circuit.cpp:158:7: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |  if(i == child[parent].size() and k > 0)return 0;
      |     ~~^~~~~~~~~~~~~~~~~~~~~~~
circuit.cpp:159:12: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  159 |  else if(i == child[parent].size()) return 1;
      |          ~~^~~~~~~~~~~~~~~~~~~~~~~
circuit.cpp: In function 'void generate(int)':
circuit.cpp:177:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  177 |  for(int i = 0 ; i < child[node].size() ; i ++){
      |                  ~~^~~~~~~~~~~~~~~~~~~~
circuit.cpp:182:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  182 |  for(ll i = 1 ; i <= child[node].size() ; i ++){
      |                 ~~^~~~~~~~~~~~~~~~~~~~~
circuit.cpp:187:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  187 |  for(int i = 0 ; i < child[node].size() ; i ++){
      |                  ~~^~~~~~~~~~~~~~~~~~~~
circuit.cpp:181:14: warning: unused variable 'inv' [-Wunused-variable]
  181 |  ll enc = 0, inv = 0;
      |              ^~~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 149 ms 48576 KB Output is correct
4 Correct 161 ms 49116 KB Output is correct
5 Correct 146 ms 49124 KB Output is correct
6 Correct 142 ms 49116 KB Output is correct
7 Correct 150 ms 49104 KB Output is correct
8 Correct 153 ms 49104 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 37072 KB Output is correct
2 Correct 15 ms 37200 KB Output is correct
3 Correct 15 ms 37232 KB Output is correct
4 Correct 14 ms 37200 KB Output is correct
5 Correct 14 ms 37196 KB Output is correct
6 Correct 14 ms 37200 KB Output is correct
7 Correct 15 ms 37160 KB Output is correct
8 Correct 15 ms 37200 KB Output is correct
9 Correct 14 ms 37200 KB Output is correct
10 Correct 15 ms 37200 KB Output is correct
11 Correct 15 ms 37212 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 149 ms 48576 KB Output is correct
4 Correct 161 ms 49116 KB Output is correct
5 Correct 146 ms 49124 KB Output is correct
6 Correct 142 ms 49116 KB Output is correct
7 Correct 150 ms 49104 KB Output is correct
8 Correct 153 ms 49104 KB Output is correct
9 Correct 13 ms 37072 KB Output is correct
10 Correct 15 ms 37200 KB Output is correct
11 Correct 15 ms 37232 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 14 ms 37196 KB Output is correct
14 Correct 14 ms 37200 KB Output is correct
15 Correct 15 ms 37160 KB Output is correct
16 Correct 15 ms 37200 KB Output is correct
17 Correct 14 ms 37200 KB Output is correct
18 Correct 15 ms 37200 KB Output is correct
19 Correct 15 ms 37212 KB Output is correct
20 Correct 14 ms 37200 KB Output is correct
21 Correct 16 ms 37200 KB Output is correct
22 Correct 14 ms 37200 KB Output is correct
23 Correct 14 ms 37200 KB Output is correct
24 Correct 15 ms 37200 KB Output is correct
25 Correct 15 ms 37200 KB Output is correct
26 Correct 17 ms 37324 KB Output is correct
27 Correct 15 ms 37260 KB Output is correct
28 Correct 15 ms 37328 KB Output is correct
29 Correct 160 ms 49096 KB Output is correct
30 Correct 163 ms 49116 KB Output is correct
31 Correct 16 ms 37200 KB Output is correct
32 Correct 14 ms 37200 KB Output is correct
33 Correct 15 ms 37200 KB Output is correct
34 Correct 17 ms 37200 KB Output is correct
35 Correct 33 ms 38480 KB Output is correct
36 Correct 14 ms 37452 KB Output is correct
37 Correct 152 ms 49348 KB Output is correct
38 Correct 153 ms 49096 KB Output is correct
39 Correct 14 ms 37200 KB Output is correct
40 Correct 14 ms 37200 KB Output is correct
41 Correct 14 ms 37200 KB Output is correct
42 Correct 16 ms 37328 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 618 ms 42824 KB Output is correct
2 Correct 854 ms 48524 KB Output is correct
3 Correct 940 ms 47948 KB Output is correct
4 Correct 784 ms 47944 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 618 ms 42824 KB Output is correct
2 Correct 854 ms 48524 KB Output is correct
3 Correct 940 ms 47948 KB Output is correct
4 Correct 784 ms 47944 KB Output is correct
5 Correct 586 ms 42932 KB Output is correct
6 Correct 912 ms 48496 KB Output is correct
7 Correct 614 ms 48512 KB Output is correct
8 Correct 651 ms 48544 KB Output is correct
9 Correct 372 ms 37496 KB Output is correct
10 Correct 644 ms 37900 KB Output is correct
11 Correct 571 ms 37840 KB Output is correct
12 Correct 570 ms 37840 KB Output is correct

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 37072 KB Output is correct
2 Correct 15 ms 37200 KB Output is correct
3 Correct 15 ms 37232 KB Output is correct
4 Correct 14 ms 37200 KB Output is correct
5 Correct 14 ms 37196 KB Output is correct
6 Correct 14 ms 37200 KB Output is correct
7 Correct 15 ms 37160 KB Output is correct
8 Correct 15 ms 37200 KB Output is correct
9 Correct 14 ms 37200 KB Output is correct
10 Correct 15 ms 37200 KB Output is correct
11 Correct 15 ms 37212 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 618 ms 42824 KB Output is correct
14 Correct 854 ms 48524 KB Output is correct
15 Correct 940 ms 47948 KB Output is correct
16 Correct 784 ms 47944 KB Output is correct
17 Correct 586 ms 42932 KB Output is correct
18 Correct 912 ms 48496 KB Output is correct
19 Correct 614 ms 48512 KB Output is correct
20 Correct 651 ms 48544 KB Output is correct
21 Correct 372 ms 37496 KB Output is correct
22 Correct 644 ms 37900 KB Output is correct
23 Correct 571 ms 37840 KB Output is correct
24 Correct 570 ms 37840 KB Output is correct
25 Execution timed out 3097 ms 46392 KB Time limit exceeded
26 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 149 ms 48576 KB Output is correct
4 Correct 161 ms 49116 KB Output is correct
5 Correct 146 ms 49124 KB Output is correct
6 Correct 142 ms 49116 KB Output is correct
7 Correct 150 ms 49104 KB Output is correct
8 Correct 153 ms 49104 KB Output is correct
9 Correct 13 ms 37072 KB Output is correct
10 Correct 15 ms 37200 KB Output is correct
11 Correct 15 ms 37232 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 14 ms 37196 KB Output is correct
14 Correct 14 ms 37200 KB Output is correct
15 Correct 15 ms 37160 KB Output is correct
16 Correct 15 ms 37200 KB Output is correct
17 Correct 14 ms 37200 KB Output is correct
18 Correct 15 ms 37200 KB Output is correct
19 Correct 15 ms 37212 KB Output is correct
20 Correct 14 ms 37200 KB Output is correct
21 Correct 16 ms 37200 KB Output is correct
22 Correct 14 ms 37200 KB Output is correct
23 Correct 14 ms 37200 KB Output is correct
24 Correct 15 ms 37200 KB Output is correct
25 Correct 15 ms 37200 KB Output is correct
26 Correct 17 ms 37324 KB Output is correct
27 Correct 15 ms 37260 KB Output is correct
28 Correct 15 ms 37328 KB Output is correct
29 Correct 160 ms 49096 KB Output is correct
30 Correct 163 ms 49116 KB Output is correct
31 Correct 16 ms 37200 KB Output is correct
32 Correct 14 ms 37200 KB Output is correct
33 Correct 15 ms 37200 KB Output is correct
34 Correct 17 ms 37200 KB Output is correct
35 Correct 33 ms 38480 KB Output is correct
36 Correct 14 ms 37452 KB Output is correct
37 Correct 152 ms 49348 KB Output is correct
38 Correct 153 ms 49096 KB Output is correct
39 Correct 14 ms 37200 KB Output is correct
40 Correct 14 ms 37200 KB Output is correct
41 Correct 14 ms 37200 KB Output is correct
42 Correct 16 ms 37328 KB Output is correct
43 Execution timed out 3028 ms 37456 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 149 ms 48576 KB Output is correct
4 Correct 161 ms 49116 KB Output is correct
5 Correct 146 ms 49124 KB Output is correct
6 Correct 142 ms 49116 KB Output is correct
7 Correct 150 ms 49104 KB Output is correct
8 Correct 153 ms 49104 KB Output is correct
9 Correct 13 ms 37072 KB Output is correct
10 Correct 15 ms 37200 KB Output is correct
11 Correct 15 ms 37232 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 14 ms 37196 KB Output is correct
14 Correct 14 ms 37200 KB Output is correct
15 Correct 15 ms 37160 KB Output is correct
16 Correct 15 ms 37200 KB Output is correct
17 Correct 14 ms 37200 KB Output is correct
18 Correct 15 ms 37200 KB Output is correct
19 Correct 15 ms 37212 KB Output is correct
20 Correct 14 ms 37200 KB Output is correct
21 Correct 16 ms 37200 KB Output is correct
22 Correct 14 ms 37200 KB Output is correct
23 Correct 14 ms 37200 KB Output is correct
24 Correct 15 ms 37200 KB Output is correct
25 Correct 15 ms 37200 KB Output is correct
26 Correct 17 ms 37324 KB Output is correct
27 Correct 15 ms 37260 KB Output is correct
28 Correct 15 ms 37328 KB Output is correct
29 Correct 160 ms 49096 KB Output is correct
30 Correct 163 ms 49116 KB Output is correct
31 Correct 16 ms 37200 KB Output is correct
32 Correct 14 ms 37200 KB Output is correct
33 Correct 15 ms 37200 KB Output is correct
34 Correct 17 ms 37200 KB Output is correct
35 Correct 33 ms 38480 KB Output is correct
36 Correct 14 ms 37452 KB Output is correct
37 Correct 152 ms 49348 KB Output is correct
38 Correct 153 ms 49096 KB Output is correct
39 Correct 14 ms 37200 KB Output is correct
40 Correct 14 ms 37200 KB Output is correct
41 Correct 14 ms 37200 KB Output is correct
42 Correct 16 ms 37328 KB Output is correct
43 Correct 618 ms 42824 KB Output is correct
44 Correct 854 ms 48524 KB Output is correct
45 Correct 940 ms 47948 KB Output is correct
46 Correct 784 ms 47944 KB Output is correct
47 Correct 586 ms 42932 KB Output is correct
48 Correct 912 ms 48496 KB Output is correct
49 Correct 614 ms 48512 KB Output is correct
50 Correct 651 ms 48544 KB Output is correct
51 Correct 372 ms 37496 KB Output is correct
52 Correct 644 ms 37900 KB Output is correct
53 Correct 571 ms 37840 KB Output is correct
54 Correct 570 ms 37840 KB Output is correct
55 Execution timed out 3097 ms 46392 KB Time limit exceeded
56 Halted 0 ms 0 KB -