답안 #835816

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
835816 2023-08-23T20:56:29 Z APROHACK 디지털 회로 (IOI22_circuit) C++17
22 / 100
3000 ms 49224 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) {
	for(int i = L ; i <= R ; i ++){
		state[i] = !state[i];
	}
	if(isCase4  or (  casito and (n > 1000 or m > 1000) ) ){
		cambiar(1, n, n+m-1, L, R);
		return get1(1);
	}
	else 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;
      |              ^~~
# 결과 실행 시간 메모리 Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 137 ms 48456 KB Output is correct
4 Correct 147 ms 49096 KB Output is correct
5 Correct 154 ms 49152 KB Output is correct
6 Correct 154 ms 49116 KB Output is correct
7 Correct 160 ms 49120 KB Output is correct
8 Correct 145 ms 49028 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 37072 KB Output is correct
2 Correct 13 ms 37136 KB Output is correct
3 Correct 14 ms 37200 KB Output is correct
4 Correct 14 ms 37200 KB Output is correct
5 Correct 14 ms 37200 KB Output is correct
6 Correct 14 ms 37200 KB Output is correct
7 Correct 14 ms 37172 KB Output is correct
8 Correct 14 ms 37248 KB Output is correct
9 Correct 14 ms 37180 KB Output is correct
10 Correct 14 ms 37248 KB Output is correct
11 Correct 15 ms 37324 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 137 ms 48456 KB Output is correct
4 Correct 147 ms 49096 KB Output is correct
5 Correct 154 ms 49152 KB Output is correct
6 Correct 154 ms 49116 KB Output is correct
7 Correct 160 ms 49120 KB Output is correct
8 Correct 145 ms 49028 KB Output is correct
9 Correct 17 ms 37072 KB Output is correct
10 Correct 13 ms 37136 KB Output is correct
11 Correct 14 ms 37200 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 14 ms 37200 KB Output is correct
14 Correct 14 ms 37200 KB Output is correct
15 Correct 14 ms 37172 KB Output is correct
16 Correct 14 ms 37248 KB Output is correct
17 Correct 14 ms 37180 KB Output is correct
18 Correct 14 ms 37248 KB Output is correct
19 Correct 15 ms 37324 KB Output is correct
20 Correct 14 ms 37200 KB Output is correct
21 Correct 15 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 16 ms 37324 KB Output is correct
25 Correct 16 ms 37248 KB Output is correct
26 Correct 15 ms 37284 KB Output is correct
27 Correct 15 ms 37200 KB Output is correct
28 Correct 15 ms 37200 KB Output is correct
29 Correct 157 ms 49096 KB Output is correct
30 Correct 153 ms 49124 KB Output is correct
31 Correct 14 ms 37236 KB Output is correct
32 Correct 15 ms 37200 KB Output is correct
33 Correct 15 ms 37200 KB Output is correct
34 Correct 15 ms 37196 KB Output is correct
35 Correct 34 ms 38408 KB Output is correct
36 Correct 15 ms 37200 KB Output is correct
37 Correct 144 ms 49116 KB Output is correct
38 Correct 152 ms 49224 KB Output is correct
39 Correct 14 ms 37260 KB Output is correct
40 Correct 15 ms 37220 KB Output is correct
41 Correct 14 ms 37200 KB Output is correct
42 Correct 16 ms 37360 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 420 ms 42900 KB Output is correct
2 Correct 850 ms 48520 KB Output is correct
3 Correct 878 ms 47988 KB Output is correct
4 Correct 785 ms 48080 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 420 ms 42900 KB Output is correct
2 Correct 850 ms 48520 KB Output is correct
3 Correct 878 ms 47988 KB Output is correct
4 Correct 785 ms 48080 KB Output is correct
5 Incorrect 29 ms 42876 KB Possible tampering with the output or unexpected termination of the program
6 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 37072 KB Output is correct
2 Correct 13 ms 37136 KB Output is correct
3 Correct 14 ms 37200 KB Output is correct
4 Correct 14 ms 37200 KB Output is correct
5 Correct 14 ms 37200 KB Output is correct
6 Correct 14 ms 37200 KB Output is correct
7 Correct 14 ms 37172 KB Output is correct
8 Correct 14 ms 37248 KB Output is correct
9 Correct 14 ms 37180 KB Output is correct
10 Correct 14 ms 37248 KB Output is correct
11 Correct 15 ms 37324 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 420 ms 42900 KB Output is correct
14 Correct 850 ms 48520 KB Output is correct
15 Correct 878 ms 47988 KB Output is correct
16 Correct 785 ms 48080 KB Output is correct
17 Incorrect 29 ms 42876 KB Possible tampering with the output or unexpected termination of the program
18 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 137 ms 48456 KB Output is correct
4 Correct 147 ms 49096 KB Output is correct
5 Correct 154 ms 49152 KB Output is correct
6 Correct 154 ms 49116 KB Output is correct
7 Correct 160 ms 49120 KB Output is correct
8 Correct 145 ms 49028 KB Output is correct
9 Correct 17 ms 37072 KB Output is correct
10 Correct 13 ms 37136 KB Output is correct
11 Correct 14 ms 37200 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 14 ms 37200 KB Output is correct
14 Correct 14 ms 37200 KB Output is correct
15 Correct 14 ms 37172 KB Output is correct
16 Correct 14 ms 37248 KB Output is correct
17 Correct 14 ms 37180 KB Output is correct
18 Correct 14 ms 37248 KB Output is correct
19 Correct 15 ms 37324 KB Output is correct
20 Correct 14 ms 37200 KB Output is correct
21 Correct 15 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 16 ms 37324 KB Output is correct
25 Correct 16 ms 37248 KB Output is correct
26 Correct 15 ms 37284 KB Output is correct
27 Correct 15 ms 37200 KB Output is correct
28 Correct 15 ms 37200 KB Output is correct
29 Correct 157 ms 49096 KB Output is correct
30 Correct 153 ms 49124 KB Output is correct
31 Correct 14 ms 37236 KB Output is correct
32 Correct 15 ms 37200 KB Output is correct
33 Correct 15 ms 37200 KB Output is correct
34 Correct 15 ms 37196 KB Output is correct
35 Correct 34 ms 38408 KB Output is correct
36 Correct 15 ms 37200 KB Output is correct
37 Correct 144 ms 49116 KB Output is correct
38 Correct 152 ms 49224 KB Output is correct
39 Correct 14 ms 37260 KB Output is correct
40 Correct 15 ms 37220 KB Output is correct
41 Correct 14 ms 37200 KB Output is correct
42 Correct 16 ms 37360 KB Output is correct
43 Execution timed out 3019 ms 37500 KB Time limit exceeded
44 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 14 ms 37072 KB Output is correct
2 Correct 14 ms 37072 KB Output is correct
3 Correct 137 ms 48456 KB Output is correct
4 Correct 147 ms 49096 KB Output is correct
5 Correct 154 ms 49152 KB Output is correct
6 Correct 154 ms 49116 KB Output is correct
7 Correct 160 ms 49120 KB Output is correct
8 Correct 145 ms 49028 KB Output is correct
9 Correct 17 ms 37072 KB Output is correct
10 Correct 13 ms 37136 KB Output is correct
11 Correct 14 ms 37200 KB Output is correct
12 Correct 14 ms 37200 KB Output is correct
13 Correct 14 ms 37200 KB Output is correct
14 Correct 14 ms 37200 KB Output is correct
15 Correct 14 ms 37172 KB Output is correct
16 Correct 14 ms 37248 KB Output is correct
17 Correct 14 ms 37180 KB Output is correct
18 Correct 14 ms 37248 KB Output is correct
19 Correct 15 ms 37324 KB Output is correct
20 Correct 14 ms 37200 KB Output is correct
21 Correct 15 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 16 ms 37324 KB Output is correct
25 Correct 16 ms 37248 KB Output is correct
26 Correct 15 ms 37284 KB Output is correct
27 Correct 15 ms 37200 KB Output is correct
28 Correct 15 ms 37200 KB Output is correct
29 Correct 157 ms 49096 KB Output is correct
30 Correct 153 ms 49124 KB Output is correct
31 Correct 14 ms 37236 KB Output is correct
32 Correct 15 ms 37200 KB Output is correct
33 Correct 15 ms 37200 KB Output is correct
34 Correct 15 ms 37196 KB Output is correct
35 Correct 34 ms 38408 KB Output is correct
36 Correct 15 ms 37200 KB Output is correct
37 Correct 144 ms 49116 KB Output is correct
38 Correct 152 ms 49224 KB Output is correct
39 Correct 14 ms 37260 KB Output is correct
40 Correct 15 ms 37220 KB Output is correct
41 Correct 14 ms 37200 KB Output is correct
42 Correct 16 ms 37360 KB Output is correct
43 Correct 420 ms 42900 KB Output is correct
44 Correct 850 ms 48520 KB Output is correct
45 Correct 878 ms 47988 KB Output is correct
46 Correct 785 ms 48080 KB Output is correct
47 Incorrect 29 ms 42876 KB Possible tampering with the output or unexpected termination of the program
48 Halted 0 ms 0 KB -