oj.uz

Submission #837193

# Submission time Handle Problem Language Result Execution time Memory
837193 2023-08-25T07:41:53 Z Sohsoh84 Digital Circuit (IOI22_circuit) C++17
100 / 100
 933 ms 62940 KB 
#include "circuit.h"
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

#define sep		' '
#define debug(x)	cerr << #x << ": " << x << endl;

const ll MOD = 1000002022;
const ll MAXN = 1e6 + 10;

ll Z[MAXN], n, m, A[MAXN], CZ[MAXN], pw2;
vector<int> adj[MAXN];

namespace segment {
	ll sg[MAXN][2], lz[MAXN];

	void build(int l = 0, int r = m - 1, int v = 1) {
		if (l == r) sg[v][1 - A[l]] = Z[l];
		else {
			int mid = (l + r) >> 1;
			build(l, mid, v << 1);
			build(mid + 1, r, v << 1 | 1);

			sg[v][0] = (sg[v << 1][0] + sg[v << 1 | 1][0]) % MOD;
			sg[v][1] = (sg[v << 1][1] + sg[v << 1 | 1][1]) % MOD;
		}
	}

	void push(int v) {
		if (lz[v]) {
			swap(sg[v][0], sg[v][1]);
			if ((v << 1 | 1) < MAXN) lz[v << 1] ^= 1, lz[v << 1 | 1] ^= 1;
			lz[v] = 0;
		}
	}

	void update(int ql, int qr, int l = 0, int r = m - 1, int v = 1) {
		push(v);
		if (ql > r || qr < l) return;
		if (ql <= l && qr >= r) {
			lz[v] ^= 1;
			push(v);
			return;
		}

		int mid = (l + r) >> 1;
		update(ql, qr, l, mid, v << 1);
		update(ql, qr, mid + 1, r, v << 1 | 1);

		sg[v][0] = (sg[v << 1][0] + sg[v << 1 | 1][0]) % MOD;
		sg[v][1] = (sg[v << 1][1] + sg[v << 1 | 1][1]) % MOD;
	}
}

void dfs0(int v) {
	CZ[v] = (v < n ? adj[v].size() : 1);
	for (int u : adj[v]) {
		dfs0(u);
		CZ[v] = CZ[v] * CZ[u] % MOD;
	}
}

void dfs1(int v, ll z) {
	if (v >= n) {
		Z[v - n] = z;
		return;
	}

	int d = adj[v].size();
	vector<ll> pref_z(d + 2), suff_z(d + 2);
	pref_z[0] = 1;
	suff_z[d + 1] = 1;

	for (int i = 1; i <= d; i++)
		pref_z[i] = pref_z[i - 1] * CZ[adj[v][i - 1]] % MOD;

	for (int i = d; i > 0; i--)
		suff_z[i] = suff_z[i + 1] * CZ[adj[v][i - 1]] % MOD;

	for (int i = 1; i <= d; i++) {
		dfs1(adj[v][i - 1], z * pref_z[i - 1] % MOD * suff_z[i + 1] % MOD);	
	}
} 

void init(int N_, int M_, vector<int> P, vector<int> A_) {
	n = N_, m = M_;
	for (int i = 0; i < m; i++)
		A[i] = A_[i];

	for (int i = 1; i < n + m; i++)
		adj[P[i]].push_back(i);

	dfs0(0);
	dfs1(0, 1);
	segment::build();

	pw2 = 1;
	for (int i = 0; i < m; i++)
		pw2 = pw2 * 2 % MOD;

}

int count_ways(int L, int R) {
	L -= n, R -= n;
	segment::update(L, R);
	return segment::sg[1][0] % MOD;
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23792 KB Output is correct
3 Correct 13 ms 23872 KB Output is correct
4 Correct 12 ms 23928 KB Output is correct
5 Correct 14 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 12 ms 23884 KB Output is correct
8 Correct 11 ms 23888 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23776 KB Output is correct
2 Correct 12 ms 23740 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 12 ms 23788 KB Output is correct
5 Correct 12 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 13 ms 23856 KB Output is correct
8 Correct 12 ms 23960 KB Output is correct
9 Correct 14 ms 23936 KB Output is correct
10 Correct 12 ms 24144 KB Output is correct
11 Correct 12 ms 24084 KB Output is correct
12 Correct 12 ms 23860 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23792 KB Output is correct
3 Correct 13 ms 23872 KB Output is correct
4 Correct 12 ms 23928 KB Output is correct
5 Correct 14 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 12 ms 23884 KB Output is correct
8 Correct 11 ms 23888 KB Output is correct
9 Correct 12 ms 23776 KB Output is correct
10 Correct 12 ms 23740 KB Output is correct
11 Correct 12 ms 23888 KB Output is correct
12 Correct 12 ms 23788 KB Output is correct
13 Correct 12 ms 23888 KB Output is correct
14 Correct 12 ms 23888 KB Output is correct
15 Correct 13 ms 23856 KB Output is correct
16 Correct 12 ms 23960 KB Output is correct
17 Correct 14 ms 23936 KB Output is correct
18 Correct 12 ms 24144 KB Output is correct
19 Correct 12 ms 24084 KB Output is correct
20 Correct 12 ms 23860 KB Output is correct
21 Correct 12 ms 23948 KB Output is correct
22 Correct 13 ms 23888 KB Output is correct
23 Correct 12 ms 23888 KB Output is correct
24 Correct 15 ms 23916 KB Output is correct
25 Correct 12 ms 23888 KB Output is correct
26 Correct 12 ms 23888 KB Output is correct
27 Correct 13 ms 23860 KB Output is correct
28 Correct 12 ms 23888 KB Output is correct
29 Correct 12 ms 23816 KB Output is correct
30 Correct 12 ms 23868 KB Output is correct
31 Correct 12 ms 24016 KB Output is correct
32 Correct 12 ms 23896 KB Output is correct
33 Correct 12 ms 23888 KB Output is correct
34 Correct 14 ms 23828 KB Output is correct
35 Correct 14 ms 23916 KB Output is correct
36 Correct 15 ms 24144 KB Output is correct
37 Correct 12 ms 24148 KB Output is correct
38 Correct 14 ms 24124 KB Output is correct
39 Correct 12 ms 23888 KB Output is correct
40 Correct 13 ms 23888 KB Output is correct
41 Correct 12 ms 23888 KB Output is correct
42 Correct 14 ms 23888 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 562 ms 28068 KB Output is correct
2 Correct 653 ms 32300 KB Output is correct
3 Correct 777 ms 32296 KB Output is correct
4 Correct 728 ms 32296 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 562 ms 28068 KB Output is correct
2 Correct 653 ms 32300 KB Output is correct
3 Correct 777 ms 32296 KB Output is correct
4 Correct 728 ms 32296 KB Output is correct
5 Correct 637 ms 28324 KB Output is correct
6 Correct 826 ms 32892 KB Output is correct
7 Correct 657 ms 32804 KB Output is correct
8 Correct 721 ms 31476 KB Output is correct
9 Correct 259 ms 24016 KB Output is correct
10 Correct 644 ms 24304 KB Output is correct
11 Correct 713 ms 24352 KB Output is correct
12 Correct 478 ms 24296 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23776 KB Output is correct
2 Correct 12 ms 23740 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 12 ms 23788 KB Output is correct
5 Correct 12 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 13 ms 23856 KB Output is correct
8 Correct 12 ms 23960 KB Output is correct
9 Correct 14 ms 23936 KB Output is correct
10 Correct 12 ms 24144 KB Output is correct
11 Correct 12 ms 24084 KB Output is correct
12 Correct 12 ms 23860 KB Output is correct
13 Correct 562 ms 28068 KB Output is correct
14 Correct 653 ms 32300 KB Output is correct
15 Correct 777 ms 32296 KB Output is correct
16 Correct 728 ms 32296 KB Output is correct
17 Correct 637 ms 28324 KB Output is correct
18 Correct 826 ms 32892 KB Output is correct
19 Correct 657 ms 32804 KB Output is correct
20 Correct 721 ms 31476 KB Output is correct
21 Correct 259 ms 24016 KB Output is correct
22 Correct 644 ms 24304 KB Output is correct
23 Correct 713 ms 24352 KB Output is correct
24 Correct 478 ms 24296 KB Output is correct
25 Correct 746 ms 39344 KB Output is correct
26 Correct 885 ms 39468 KB Output is correct
27 Correct 826 ms 39468 KB Output is correct
28 Correct 551 ms 36460 KB Output is correct
29 Correct 776 ms 62940 KB Output is correct
30 Correct 709 ms 59908 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23792 KB Output is correct
3 Correct 13 ms 23872 KB Output is correct
4 Correct 12 ms 23928 KB Output is correct
5 Correct 14 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 12 ms 23884 KB Output is correct
8 Correct 11 ms 23888 KB Output is correct
9 Correct 12 ms 23776 KB Output is correct
10 Correct 12 ms 23740 KB Output is correct
11 Correct 12 ms 23888 KB Output is correct
12 Correct 12 ms 23788 KB Output is correct
13 Correct 12 ms 23888 KB Output is correct
14 Correct 12 ms 23888 KB Output is correct
15 Correct 13 ms 23856 KB Output is correct
16 Correct 12 ms 23960 KB Output is correct
17 Correct 14 ms 23936 KB Output is correct
18 Correct 12 ms 24144 KB Output is correct
19 Correct 12 ms 24084 KB Output is correct
20 Correct 12 ms 23860 KB Output is correct
21 Correct 12 ms 23948 KB Output is correct
22 Correct 13 ms 23888 KB Output is correct
23 Correct 12 ms 23888 KB Output is correct
24 Correct 15 ms 23916 KB Output is correct
25 Correct 12 ms 23888 KB Output is correct
26 Correct 12 ms 23888 KB Output is correct
27 Correct 13 ms 23860 KB Output is correct
28 Correct 12 ms 23888 KB Output is correct
29 Correct 12 ms 23816 KB Output is correct
30 Correct 12 ms 23868 KB Output is correct
31 Correct 12 ms 24016 KB Output is correct
32 Correct 12 ms 23896 KB Output is correct
33 Correct 12 ms 23888 KB Output is correct
34 Correct 14 ms 23828 KB Output is correct
35 Correct 14 ms 23916 KB Output is correct
36 Correct 15 ms 24144 KB Output is correct
37 Correct 12 ms 24148 KB Output is correct
38 Correct 14 ms 24124 KB Output is correct
39 Correct 12 ms 23888 KB Output is correct
40 Correct 13 ms 23888 KB Output is correct
41 Correct 12 ms 23888 KB Output is correct
42 Correct 14 ms 23888 KB Output is correct
43 Correct 428 ms 24272 KB Output is correct
44 Correct 627 ms 24340 KB Output is correct
45 Correct 688 ms 24272 KB Output is correct
46 Correct 412 ms 24724 KB Output is correct
47 Correct 773 ms 24752 KB Output is correct
48 Correct 826 ms 24732 KB Output is correct
49 Correct 812 ms 24656 KB Output is correct
50 Correct 753 ms 24524 KB Output is correct
51 Correct 730 ms 24420 KB Output is correct
52 Correct 682 ms 24644 KB Output is correct
53 Correct 640 ms 25040 KB Output is correct
54 Correct 732 ms 24680 KB Output is correct
55 Correct 696 ms 24528 KB Output is correct
56 Correct 745 ms 24528 KB Output is correct
57 Correct 615 ms 24528 KB Output is correct
58 Correct 725 ms 25932 KB Output is correct
59 Correct 677 ms 25808 KB Output is correct
60 Correct 645 ms 25680 KB Output is correct
61 Correct 704 ms 24528 KB Output is correct
62 Correct 764 ms 24272 KB Output is correct
63 Correct 776 ms 24204 KB Output is correct
64 Correct 736 ms 24528 KB Output is correct
65 Correct 322 ms 24016 KB Output is correct
66 Correct 751 ms 24400 KB Output is correct
67 Correct 691 ms 24400 KB Output is correct
68 Correct 763 ms 24228 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23792 KB Output is correct
3 Correct 13 ms 23872 KB Output is correct
4 Correct 12 ms 23928 KB Output is correct
5 Correct 14 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 12 ms 23884 KB Output is correct
8 Correct 11 ms 23888 KB Output is correct
9 Correct 12 ms 23776 KB Output is correct
10 Correct 12 ms 23740 KB Output is correct
11 Correct 12 ms 23888 KB Output is correct
12 Correct 12 ms 23788 KB Output is correct
13 Correct 12 ms 23888 KB Output is correct
14 Correct 12 ms 23888 KB Output is correct
15 Correct 13 ms 23856 KB Output is correct
16 Correct 12 ms 23960 KB Output is correct
17 Correct 14 ms 23936 KB Output is correct
18 Correct 12 ms 24144 KB Output is correct
19 Correct 12 ms 24084 KB Output is correct
20 Correct 12 ms 23860 KB Output is correct
21 Correct 12 ms 23948 KB Output is correct
22 Correct 13 ms 23888 KB Output is correct
23 Correct 12 ms 23888 KB Output is correct
24 Correct 15 ms 23916 KB Output is correct
25 Correct 12 ms 23888 KB Output is correct
26 Correct 12 ms 23888 KB Output is correct
27 Correct 13 ms 23860 KB Output is correct
28 Correct 12 ms 23888 KB Output is correct
29 Correct 12 ms 23816 KB Output is correct
30 Correct 12 ms 23868 KB Output is correct
31 Correct 12 ms 24016 KB Output is correct
32 Correct 12 ms 23896 KB Output is correct
33 Correct 12 ms 23888 KB Output is correct
34 Correct 14 ms 23828 KB Output is correct
35 Correct 14 ms 23916 KB Output is correct
36 Correct 15 ms 24144 KB Output is correct
37 Correct 12 ms 24148 KB Output is correct
38 Correct 14 ms 24124 KB Output is correct
39 Correct 12 ms 23888 KB Output is correct
40 Correct 13 ms 23888 KB Output is correct
41 Correct 12 ms 23888 KB Output is correct
42 Correct 14 ms 23888 KB Output is correct
43 Correct 562 ms 28068 KB Output is correct
44 Correct 653 ms 32300 KB Output is correct
45 Correct 777 ms 32296 KB Output is correct
46 Correct 728 ms 32296 KB Output is correct
47 Correct 637 ms 28324 KB Output is correct
48 Correct 826 ms 32892 KB Output is correct
49 Correct 657 ms 32804 KB Output is correct
50 Correct 721 ms 31476 KB Output is correct
51 Correct 259 ms 24016 KB Output is correct
52 Correct 644 ms 24304 KB Output is correct
53 Correct 713 ms 24352 KB Output is correct
54 Correct 478 ms 24296 KB Output is correct
55 Correct 746 ms 39344 KB Output is correct
56 Correct 885 ms 39468 KB Output is correct
57 Correct 826 ms 39468 KB Output is correct
58 Correct 551 ms 36460 KB Output is correct
59 Correct 776 ms 62940 KB Output is correct
60 Correct 709 ms 59908 KB Output is correct
61 Correct 428 ms 24272 KB Output is correct
62 Correct 627 ms 24340 KB Output is correct
63 Correct 688 ms 24272 KB Output is correct
64 Correct 412 ms 24724 KB Output is correct
65 Correct 773 ms 24752 KB Output is correct
66 Correct 826 ms 24732 KB Output is correct
67 Correct 812 ms 24656 KB Output is correct
68 Correct 753 ms 24524 KB Output is correct
69 Correct 730 ms 24420 KB Output is correct
70 Correct 682 ms 24644 KB Output is correct
71 Correct 640 ms 25040 KB Output is correct
72 Correct 732 ms 24680 KB Output is correct
73 Correct 696 ms 24528 KB Output is correct
74 Correct 745 ms 24528 KB Output is correct
75 Correct 615 ms 24528 KB Output is correct
76 Correct 725 ms 25932 KB Output is correct
77 Correct 677 ms 25808 KB Output is correct
78 Correct 645 ms 25680 KB Output is correct
79 Correct 704 ms 24528 KB Output is correct
80 Correct 764 ms 24272 KB Output is correct
81 Correct 776 ms 24204 KB Output is correct
82 Correct 736 ms 24528 KB Output is correct
83 Correct 322 ms 24016 KB Output is correct
84 Correct 751 ms 24400 KB Output is correct
85 Correct 691 ms 24400 KB Output is correct
86 Correct 763 ms 24228 KB Output is correct
87 Correct 12 ms 23756 KB Output is correct
88 Correct 544 ms 38760 KB Output is correct
89 Correct 728 ms 32852 KB Output is correct
90 Correct 803 ms 32644 KB Output is correct
91 Correct 795 ms 39072 KB Output is correct
92 Correct 875 ms 39580 KB Output is correct
93 Correct 893 ms 39584 KB Output is correct
94 Correct 781 ms 39576 KB Output is correct
95 Correct 798 ms 36552 KB Output is correct
96 Correct 692 ms 32324 KB Output is correct
97 Correct 930 ms 35676 KB Output is correct
98 Correct 525 ms 48872 KB Output is correct
99 Correct 925 ms 39460 KB Output is correct
100 Correct 667 ms 37396 KB Output is correct
101 Correct 741 ms 36752 KB Output is correct
102 Correct 655 ms 35684 KB Output is correct
103 Correct 933 ms 62936 KB Output is correct
104 Correct 823 ms 60200 KB Output is correct
105 Correct 708 ms 57280 KB Output is correct
106 Correct 907 ms 37384 KB Output is correct
107 Correct 790 ms 35828 KB Output is correct
108 Correct 793 ms 35864 KB Output is correct
109 Correct 757 ms 36028 KB Output is correct