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Submission #629742

# Submission time Handle Problem Language Result Execution time Memory
629742 2022-08-15T02:47:55 Z MatheusLealV Digital Circuit (IOI22_circuit) C++17
46 / 100
 1136 ms 18260 KB 
#include "circuit.h"
#include <bits/stdc++.h>
#define N 100020
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
using namespace std;
typedef long long ll;
const ll mod = 1000002022;
 
ll yes[N], no[N], state[N],pai[N], n,m;
ll save[N], sum[N];
vector<ll> grafo[N];

ll pref[N], ans = 0;

void solve(){
	for(ll x=n;x<n+m+1;x++)yes[x]=state[x],no[x]=1-state[x],save[x]=sum[x]=1;
	pref[0]=1;
	for(ll x = n-1; x >= 0; x--){
		ll sum_cost = 1, C = sz(grafo[x]);

		no[x]=yes[x]=0;
		for(auto v: grafo[x]){
			ll old_yes = yes[x];

 			yes[x] = (1LL*old_yes*sum[v])%mod + (1LL*sum_cost*yes[v])%mod;

 			yes[x] %= mod;

 			pref[v] = sum_cost;

			sum_cost = (1LL*sum_cost*sum[v])%mod;
		}

		reverse(all(grafo[x]));
		ll suf = 1;
		for(auto v: grafo[x]){
			pref[v] = (1LL*pref[v]*suf)%mod;
			suf = (1LL*suf*sum[v])%mod;
		}

		if(save[x] == -1) save[x] = sum_cost;
		assert(save[x] == sum_cost);
		
		no[x] = (1LL*C*sum_cost%mod - yes[x])%mod;
		no[x] = (no[x] + mod)%mod;

		sum[x] = (yes[x] + no[x])%mod;
	}

	for(ll i = 0; i < n+m; i++){
		if(i)pref[i] = (pref[i] * pref[pai[i]])%mod;
	}
}
ll cnt[4*N][2],lazy[4*N],custo[N];
#define mid ((a+b)/2)
void build(int nod, int a, int b){
	if(a==b){
		cnt[nod][custo[a]] = pref[a+n];
		return;
	}
	build(2*nod,a,mid); build(2*nod+1,mid+1,b);
	cnt[nod][0] = (cnt[2*nod][0]+cnt[2*nod+1][0])%mod;
	cnt[nod][1] = (cnt[2*nod][1]+cnt[2*nod+1][1])%mod;
}
void prop(int nod, int a, int b){
	if(!lazy[nod]) return;
	swap(cnt[nod][0],cnt[nod][1]);
	lazy[nod]=0;
	if(a != b){
		lazy[2*nod] ^= 1;
		lazy[2*nod+1] ^= 1;
	}
}
void upd(int nod, int a, int b, int i, int j){
	prop(nod,a,b);
	if(j < a or i > b) return;
	if(i <= a and j >= b){
		lazy[nod] ^= 1;
		prop(nod,a,b);
		return;
	}
	upd(2*nod,a,mid,i,j); upd(2*nod+1,mid+1,b,i,j);
	cnt[nod][0] = (cnt[2*nod][0] + cnt[2*nod+1][0])%mod;
	cnt[nod][1] = (cnt[2*nod][1] + cnt[2*nod+1][1])%mod;
}
 
void init(int n_, int m_, vector<int> P, vector<int> A) {
	memset(save,-1,sizeof save);
	n = n_, m = m_;
	for(int i = 1; i < n+m; i++){
		grafo[P[i]].pb(i);
		pai[i] = P[i];
	}
	for(int i = 0;i<m;i++) state[i+n] = A[i],custo[i]=A[i];
	solve();

	build(1,0,m-1);
}
 
int count_ways(int L, int R) {

	upd(1,0,m-1,L-n,R-n);
	prop(1,0,m-1);
  	return cnt[1][1];
 
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3408 KB Output is correct
2 Correct 2 ms 3408 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 2 ms 3536 KB Output is correct
7 Correct 2 ms 3536 KB Output is correct
8 Correct 4 ms 3536 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3408 KB Output is correct
2 Correct 2 ms 3536 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 3 ms 3536 KB Output is correct
7 Correct 3 ms 3664 KB Output is correct
8 Correct 3 ms 3664 KB Output is correct
9 Correct 2 ms 3664 KB Output is correct
10 Correct 2 ms 3664 KB Output is correct
11 Correct 3 ms 3664 KB Output is correct
12 Correct 2 ms 3536 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3408 KB Output is correct
2 Correct 2 ms 3408 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 2 ms 3536 KB Output is correct
7 Correct 2 ms 3536 KB Output is correct
8 Correct 4 ms 3536 KB Output is correct
9 Correct 2 ms 3408 KB Output is correct
10 Correct 2 ms 3536 KB Output is correct
11 Correct 2 ms 3536 KB Output is correct
12 Correct 2 ms 3536 KB Output is correct
13 Correct 2 ms 3536 KB Output is correct
14 Correct 3 ms 3536 KB Output is correct
15 Correct 3 ms 3664 KB Output is correct
16 Correct 3 ms 3664 KB Output is correct
17 Correct 2 ms 3664 KB Output is correct
18 Correct 2 ms 3664 KB Output is correct
19 Correct 3 ms 3664 KB Output is correct
20 Correct 2 ms 3536 KB Output is correct
21 Correct 2 ms 3664 KB Output is correct
22 Correct 2 ms 3536 KB Output is correct
23 Correct 2 ms 3536 KB Output is correct
24 Correct 3 ms 3664 KB Output is correct
25 Correct 3 ms 3664 KB Output is correct
26 Correct 2 ms 3664 KB Output is correct
27 Correct 2 ms 3664 KB Output is correct
28 Correct 2 ms 3664 KB Output is correct
29 Correct 2 ms 3536 KB Output is correct
30 Correct 2 ms 3536 KB Output is correct
31 Correct 3 ms 3536 KB Output is correct
32 Correct 2 ms 3664 KB Output is correct
33 Correct 2 ms 3536 KB Output is correct
34 Correct 2 ms 3536 KB Output is correct
35 Correct 2 ms 3536 KB Output is correct
36 Correct 2 ms 3664 KB Output is correct
37 Correct 2 ms 3664 KB Output is correct
38 Correct 2 ms 3664 KB Output is correct
39 Correct 2 ms 3536 KB Output is correct
40 Correct 2 ms 3624 KB Output is correct
41 Correct 2 ms 3536 KB Output is correct
42 Correct 3 ms 3536 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 612 ms 9324 KB Output is correct
2 Runtime error 36 ms 18260 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 612 ms 9324 KB Output is correct
2 Runtime error 36 ms 18260 KB Execution killed with signal 11
3 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3408 KB Output is correct
2 Correct 2 ms 3536 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 3 ms 3536 KB Output is correct
7 Correct 3 ms 3664 KB Output is correct
8 Correct 3 ms 3664 KB Output is correct
9 Correct 2 ms 3664 KB Output is correct
10 Correct 2 ms 3664 KB Output is correct
11 Correct 3 ms 3664 KB Output is correct
12 Correct 2 ms 3536 KB Output is correct
13 Correct 612 ms 9324 KB Output is correct
14 Runtime error 36 ms 18260 KB Execution killed with signal 11
15 Halted 0 ms 0 KB -

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3408 KB Output is correct
2 Correct 2 ms 3408 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 2 ms 3536 KB Output is correct
7 Correct 2 ms 3536 KB Output is correct
8 Correct 4 ms 3536 KB Output is correct
9 Correct 2 ms 3408 KB Output is correct
10 Correct 2 ms 3536 KB Output is correct
11 Correct 2 ms 3536 KB Output is correct
12 Correct 2 ms 3536 KB Output is correct
13 Correct 2 ms 3536 KB Output is correct
14 Correct 3 ms 3536 KB Output is correct
15 Correct 3 ms 3664 KB Output is correct
16 Correct 3 ms 3664 KB Output is correct
17 Correct 2 ms 3664 KB Output is correct
18 Correct 2 ms 3664 KB Output is correct
19 Correct 3 ms 3664 KB Output is correct
20 Correct 2 ms 3536 KB Output is correct
21 Correct 2 ms 3664 KB Output is correct
22 Correct 2 ms 3536 KB Output is correct
23 Correct 2 ms 3536 KB Output is correct
24 Correct 3 ms 3664 KB Output is correct
25 Correct 3 ms 3664 KB Output is correct
26 Correct 2 ms 3664 KB Output is correct
27 Correct 2 ms 3664 KB Output is correct
28 Correct 2 ms 3664 KB Output is correct
29 Correct 2 ms 3536 KB Output is correct
30 Correct 2 ms 3536 KB Output is correct
31 Correct 3 ms 3536 KB Output is correct
32 Correct 2 ms 3664 KB Output is correct
33 Correct 2 ms 3536 KB Output is correct
34 Correct 2 ms 3536 KB Output is correct
35 Correct 2 ms 3536 KB Output is correct
36 Correct 2 ms 3664 KB Output is correct
37 Correct 2 ms 3664 KB Output is correct
38 Correct 2 ms 3664 KB Output is correct
39 Correct 2 ms 3536 KB Output is correct
40 Correct 2 ms 3624 KB Output is correct
41 Correct 2 ms 3536 KB Output is correct
42 Correct 3 ms 3536 KB Output is correct
43 Correct 707 ms 4072 KB Output is correct
44 Correct 841 ms 4172 KB Output is correct
45 Correct 678 ms 4048 KB Output is correct
46 Correct 1136 ms 4560 KB Output is correct
47 Correct 841 ms 4560 KB Output is correct
48 Correct 776 ms 4560 KB Output is correct
49 Correct 837 ms 4536 KB Output is correct
50 Correct 955 ms 4432 KB Output is correct
51 Correct 749 ms 4200 KB Output is correct
52 Correct 778 ms 4308 KB Output is correct
53 Correct 834 ms 3792 KB Output is correct
54 Correct 851 ms 4560 KB Output is correct
55 Correct 873 ms 4432 KB Output is correct
56 Correct 800 ms 4304 KB Output is correct
57 Correct 890 ms 4176 KB Output is correct
58 Correct 837 ms 4560 KB Output is correct
59 Correct 567 ms 4708 KB Output is correct
60 Correct 875 ms 4592 KB Output is correct
61 Correct 679 ms 4048 KB Output is correct
62 Correct 871 ms 4068 KB Output is correct
63 Correct 830 ms 4048 KB Output is correct
64 Correct 778 ms 4176 KB Output is correct
65 Correct 369 ms 3792 KB Output is correct
66 Correct 773 ms 4176 KB Output is correct
67 Correct 861 ms 4176 KB Output is correct
68 Correct 880 ms 4176 KB Output is correct

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3408 KB Output is correct
2 Correct 2 ms 3408 KB Output is correct
3 Correct 2 ms 3536 KB Output is correct
4 Correct 2 ms 3536 KB Output is correct
5 Correct 2 ms 3536 KB Output is correct
6 Correct 2 ms 3536 KB Output is correct
7 Correct 2 ms 3536 KB Output is correct
8 Correct 4 ms 3536 KB Output is correct
9 Correct 2 ms 3408 KB Output is correct
10 Correct 2 ms 3536 KB Output is correct
11 Correct 2 ms 3536 KB Output is correct
12 Correct 2 ms 3536 KB Output is correct
13 Correct 2 ms 3536 KB Output is correct
14 Correct 3 ms 3536 KB Output is correct
15 Correct 3 ms 3664 KB Output is correct
16 Correct 3 ms 3664 KB Output is correct
17 Correct 2 ms 3664 KB Output is correct
18 Correct 2 ms 3664 KB Output is correct
19 Correct 3 ms 3664 KB Output is correct
20 Correct 2 ms 3536 KB Output is correct
21 Correct 2 ms 3664 KB Output is correct
22 Correct 2 ms 3536 KB Output is correct
23 Correct 2 ms 3536 KB Output is correct
24 Correct 3 ms 3664 KB Output is correct
25 Correct 3 ms 3664 KB Output is correct
26 Correct 2 ms 3664 KB Output is correct
27 Correct 2 ms 3664 KB Output is correct
28 Correct 2 ms 3664 KB Output is correct
29 Correct 2 ms 3536 KB Output is correct
30 Correct 2 ms 3536 KB Output is correct
31 Correct 3 ms 3536 KB Output is correct
32 Correct 2 ms 3664 KB Output is correct
33 Correct 2 ms 3536 KB Output is correct
34 Correct 2 ms 3536 KB Output is correct
35 Correct 2 ms 3536 KB Output is correct
36 Correct 2 ms 3664 KB Output is correct
37 Correct 2 ms 3664 KB Output is correct
38 Correct 2 ms 3664 KB Output is correct
39 Correct 2 ms 3536 KB Output is correct
40 Correct 2 ms 3624 KB Output is correct
41 Correct 2 ms 3536 KB Output is correct
42 Correct 3 ms 3536 KB Output is correct
43 Correct 612 ms 9324 KB Output is correct
44 Runtime error 36 ms 18260 KB Execution killed with signal 11
45 Halted 0 ms 0 KB -