oj.uz

Submission #635189

# Submission time Handle Problem Language Result Execution time Memory
635189 2022-08-25T15:35:47 Z youngyojun Digital Circuit (IOI22_circuit) C++17
100 / 100
 1347 ms 30180 KB 
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include "circuit.h"
#include <bits/stdc++.h>
#define eb emplace_back
#define sz(V) ((int)(V).size())
#define fi first
#define se second
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;

const int MOD = 1'000'002'022;
const int MAXN = 100'055;

inline void add(int &a, int b) { a += b; if(MOD <= a) a -= MOD; }
inline void sub(int &a, int b) { a -= b; if(a < 0) a += MOD; }

struct SEG {
	int d[MAXN*4][2];
	bitset<MAXN*4> df;
	
	vector<int> *Q;
	int *A;
	
	void init(int i, int s, int e) {
		if(s == e) {
			d[i][(*Q)[s]] = A[s];
			return;
		}
		
		int m = s+e >> 1;
		init(i<<1, s, m);
		init(i<<1|1, m+1, e);
		
		for(int j = 2; j--;) {
			d[i][j] = d[i<<1][j];
			add(d[i][j], d[i<<1|1][j]);
		}
	}
	
	pii f(int i, int s, int e, int p, int q) {
		if(q < s || e < p) return {0, 0};
		if(p <= s && e <= q) {
			swap(d[i][0], d[i][1]);
			df[i] = !df[i];
			return {d[i][1], d[i][0]};
		}
		int m = s+e >> 1;
		pii r = f(i<<1, s, m, p, q);
		pii t = f(i<<1|1, m+1, e, p, q);
		add(r.fi, t.fi); add(r.se, t.se);
		for(int j = 2; j--;) {
			d[i][j] = d[i<<1][j];
			add(d[i][j], d[i<<1|1][j]);
		}
		if(df[i]) {
			swap(d[i][0], d[i][1]);
			swap(r.fi, r.se);
		}
		return r;
	}
} seg;

vector<int> G[MAXN*2];

int A[MAXN*2], B[MAXN*2];

int N, M, Ans;

void dfs1(int i) {
	int r = max(1, sz(G[i]));
	for(int v : G[i]) {
		dfs1(v);
		r = ll(r) * B[v] % MOD;
	}
	B[i] = r;
}

void dfs2(int i) {
	int u = A[i];
	int dg = sz(G[i]);
	vector<int> L(dg, 1), R(dg, 1);
	for(int j = 1; j < dg; j++)
		L[j] = ll(L[j-1]) * B[G[i][j-1]] % MOD;
	for(int j = dg-2; 0 <= j; j--)
		R[j] = ll(R[j+1]) * B[G[i][j+1]] % MOD;
	for(int j = dg; j--;) {
		int v = G[i][j];
		A[v] = ll(u) * L[j] % MOD * R[j] % MOD;
		dfs2(v);
	}
}

void init(int N, int M, std::vector<int> P, std::vector<int> Q) {
	::N = N; ::M = M;
	for(int i = N+M; --i;) G[P[i]].eb(i);
	dfs1(0); A[0] = 1; dfs2(0);
	for(int i = 0; i < M; i++) A[i] = A[N+i];
	seg.A = A; seg.Q = &Q;
	seg.init(1, 0, M-1);
	B[0] = 0;
	for(int i = 1; i <= M; i++) {
		B[i] = B[i-1];
		add(B[i], A[i-1]);
	}
	for(int i = M; i--;) if(Q[i]) add(Ans, A[i]);
}

int count_ways(int L, int R) {
	L -= N; R -= N;
	int r = seg.f(1, 0, M-1, L, R).se;
	add(Ans, B[R+1]); sub(Ans, B[L]);
	add(r, r); sub(Ans, r);
	return Ans;
}

Compilation message

circuit.cpp: In member function 'void SEG::init(int, int, int)':
circuit.cpp:33:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   33 |   int m = s+e >> 1;
      |           ~^~
circuit.cpp: In member function 'pii SEG::f(int, int, int, int, int)':
circuit.cpp:50:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   50 |   int m = s+e >> 1;
      |           ~^~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5020 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 5 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4980 KB Output is correct
2 Correct 3 ms 5120 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 4 ms 5044 KB Output is correct
6 Correct 5 ms 5072 KB Output is correct
7 Correct 5 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 4 ms 5072 KB Output is correct
10 Correct 4 ms 5200 KB Output is correct
11 Correct 5 ms 5200 KB Output is correct
12 Correct 5 ms 5072 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5020 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 5 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 4 ms 4980 KB Output is correct
10 Correct 3 ms 5120 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 4 ms 5044 KB Output is correct
14 Correct 5 ms 5072 KB Output is correct
15 Correct 5 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 4 ms 5200 KB Output is correct
19 Correct 5 ms 5200 KB Output is correct
20 Correct 5 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 5 ms 5072 KB Output is correct
23 Correct 4 ms 5072 KB Output is correct
24 Correct 4 ms 5128 KB Output is correct
25 Correct 4 ms 5072 KB Output is correct
26 Correct 5 ms 5072 KB Output is correct
27 Correct 5 ms 5072 KB Output is correct
28 Correct 4 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 5 ms 5072 KB Output is correct
35 Correct 4 ms 5072 KB Output is correct
36 Correct 4 ms 5248 KB Output is correct
37 Correct 5 ms 5200 KB Output is correct
38 Correct 5 ms 5200 KB Output is correct
39 Correct 5 ms 5072 KB Output is correct
40 Correct 4 ms 5072 KB Output is correct
41 Correct 4 ms 5072 KB Output is correct
42 Correct 4 ms 5000 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 845 ms 7892 KB Output is correct
2 Correct 1156 ms 10624 KB Output is correct
3 Correct 1137 ms 10696 KB Output is correct
4 Correct 1041 ms 10664 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 845 ms 7892 KB Output is correct
2 Correct 1156 ms 10624 KB Output is correct
3 Correct 1137 ms 10696 KB Output is correct
4 Correct 1041 ms 10664 KB Output is correct
5 Correct 917 ms 7864 KB Output is correct
6 Correct 1014 ms 10692 KB Output is correct
7 Correct 954 ms 10688 KB Output is correct
8 Correct 1018 ms 10684 KB Output is correct
9 Correct 582 ms 5200 KB Output is correct
10 Correct 774 ms 5356 KB Output is correct
11 Correct 1010 ms 5328 KB Output is correct
12 Correct 953 ms 5360 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4980 KB Output is correct
2 Correct 3 ms 5120 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 4 ms 5044 KB Output is correct
6 Correct 5 ms 5072 KB Output is correct
7 Correct 5 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 4 ms 5072 KB Output is correct
10 Correct 4 ms 5200 KB Output is correct
11 Correct 5 ms 5200 KB Output is correct
12 Correct 5 ms 5072 KB Output is correct
13 Correct 845 ms 7892 KB Output is correct
14 Correct 1156 ms 10624 KB Output is correct
15 Correct 1137 ms 10696 KB Output is correct
16 Correct 1041 ms 10664 KB Output is correct
17 Correct 917 ms 7864 KB Output is correct
18 Correct 1014 ms 10692 KB Output is correct
19 Correct 954 ms 10688 KB Output is correct
20 Correct 1018 ms 10684 KB Output is correct
21 Correct 582 ms 5200 KB Output is correct
22 Correct 774 ms 5356 KB Output is correct
23 Correct 1010 ms 5328 KB Output is correct
24 Correct 953 ms 5360 KB Output is correct
25 Correct 1261 ms 14016 KB Output is correct
26 Correct 1338 ms 14248 KB Output is correct
27 Correct 1347 ms 14144 KB Output is correct
28 Correct 1072 ms 14140 KB Output is correct
29 Correct 1265 ms 29728 KB Output is correct
30 Correct 1074 ms 29724 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5020 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 5 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 4 ms 4980 KB Output is correct
10 Correct 3 ms 5120 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 4 ms 5044 KB Output is correct
14 Correct 5 ms 5072 KB Output is correct
15 Correct 5 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 4 ms 5200 KB Output is correct
19 Correct 5 ms 5200 KB Output is correct
20 Correct 5 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 5 ms 5072 KB Output is correct
23 Correct 4 ms 5072 KB Output is correct
24 Correct 4 ms 5128 KB Output is correct
25 Correct 4 ms 5072 KB Output is correct
26 Correct 5 ms 5072 KB Output is correct
27 Correct 5 ms 5072 KB Output is correct
28 Correct 4 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 5 ms 5072 KB Output is correct
35 Correct 4 ms 5072 KB Output is correct
36 Correct 4 ms 5248 KB Output is correct
37 Correct 5 ms 5200 KB Output is correct
38 Correct 5 ms 5200 KB Output is correct
39 Correct 5 ms 5072 KB Output is correct
40 Correct 4 ms 5072 KB Output is correct
41 Correct 4 ms 5072 KB Output is correct
42 Correct 4 ms 5000 KB Output is correct
43 Correct 585 ms 5376 KB Output is correct
44 Correct 801 ms 5356 KB Output is correct
45 Correct 1118 ms 5328 KB Output is correct
46 Correct 1135 ms 5504 KB Output is correct
47 Correct 923 ms 5544 KB Output is correct
48 Correct 845 ms 5492 KB Output is correct
49 Correct 1085 ms 5504 KB Output is correct
50 Correct 675 ms 5504 KB Output is correct
51 Correct 1224 ms 5328 KB Output is correct
52 Correct 1050 ms 5344 KB Output is correct
53 Correct 884 ms 5968 KB Output is correct
54 Correct 1064 ms 5456 KB Output is correct
55 Correct 921 ms 5328 KB Output is correct
56 Correct 880 ms 5376 KB Output is correct
57 Correct 1064 ms 5328 KB Output is correct
58 Correct 848 ms 6224 KB Output is correct
59 Correct 1142 ms 6396 KB Output is correct
60 Correct 872 ms 6400 KB Output is correct
61 Correct 1107 ms 5456 KB Output is correct
62 Correct 881 ms 5200 KB Output is correct
63 Correct 915 ms 5200 KB Output is correct
64 Correct 1008 ms 5376 KB Output is correct
65 Correct 557 ms 5164 KB Output is correct
66 Correct 928 ms 5328 KB Output is correct
67 Correct 1149 ms 5328 KB Output is correct
68 Correct 1008 ms 5324 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5020 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 5 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 4 ms 4980 KB Output is correct
10 Correct 3 ms 5120 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 4 ms 5044 KB Output is correct
14 Correct 5 ms 5072 KB Output is correct
15 Correct 5 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 4 ms 5200 KB Output is correct
19 Correct 5 ms 5200 KB Output is correct
20 Correct 5 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 5 ms 5072 KB Output is correct
23 Correct 4 ms 5072 KB Output is correct
24 Correct 4 ms 5128 KB Output is correct
25 Correct 4 ms 5072 KB Output is correct
26 Correct 5 ms 5072 KB Output is correct
27 Correct 5 ms 5072 KB Output is correct
28 Correct 4 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 4 ms 5120 KB Output is correct
34 Correct 5 ms 5072 KB Output is correct
35 Correct 4 ms 5072 KB Output is correct
36 Correct 4 ms 5248 KB Output is correct
37 Correct 5 ms 5200 KB Output is correct
38 Correct 5 ms 5200 KB Output is correct
39 Correct 5 ms 5072 KB Output is correct
40 Correct 4 ms 5072 KB Output is correct
41 Correct 4 ms 5072 KB Output is correct
42 Correct 4 ms 5000 KB Output is correct
43 Correct 845 ms 7892 KB Output is correct
44 Correct 1156 ms 10624 KB Output is correct
45 Correct 1137 ms 10696 KB Output is correct
46 Correct 1041 ms 10664 KB Output is correct
47 Correct 917 ms 7864 KB Output is correct
48 Correct 1014 ms 10692 KB Output is correct
49 Correct 954 ms 10688 KB Output is correct
50 Correct 1018 ms 10684 KB Output is correct
51 Correct 582 ms 5200 KB Output is correct
52 Correct 774 ms 5356 KB Output is correct
53 Correct 1010 ms 5328 KB Output is correct
54 Correct 953 ms 5360 KB Output is correct
55 Correct 1261 ms 14016 KB Output is correct
56 Correct 1338 ms 14248 KB Output is correct
57 Correct 1347 ms 14144 KB Output is correct
58 Correct 1072 ms 14140 KB Output is correct
59 Correct 1265 ms 29728 KB Output is correct
60 Correct 1074 ms 29724 KB Output is correct
61 Correct 585 ms 5376 KB Output is correct
62 Correct 801 ms 5356 KB Output is correct
63 Correct 1118 ms 5328 KB Output is correct
64 Correct 1135 ms 5504 KB Output is correct
65 Correct 923 ms 5544 KB Output is correct
66 Correct 845 ms 5492 KB Output is correct
67 Correct 1085 ms 5504 KB Output is correct
68 Correct 675 ms 5504 KB Output is correct
69 Correct 1224 ms 5328 KB Output is correct
70 Correct 1050 ms 5344 KB Output is correct
71 Correct 884 ms 5968 KB Output is correct
72 Correct 1064 ms 5456 KB Output is correct
73 Correct 921 ms 5328 KB Output is correct
74 Correct 880 ms 5376 KB Output is correct
75 Correct 1064 ms 5328 KB Output is correct
76 Correct 848 ms 6224 KB Output is correct
77 Correct 1142 ms 6396 KB Output is correct
78 Correct 872 ms 6400 KB Output is correct
79 Correct 1107 ms 5456 KB Output is correct
80 Correct 881 ms 5200 KB Output is correct
81 Correct 915 ms 5200 KB Output is correct
82 Correct 1008 ms 5376 KB Output is correct
83 Correct 557 ms 5164 KB Output is correct
84 Correct 928 ms 5328 KB Output is correct
85 Correct 1149 ms 5328 KB Output is correct
86 Correct 1008 ms 5324 KB Output is correct
87 Correct 5 ms 4944 KB Output is correct
88 Correct 809 ms 13448 KB Output is correct
89 Correct 967 ms 10924 KB Output is correct
90 Correct 1209 ms 10660 KB Output is correct
91 Correct 1016 ms 14248 KB Output is correct
92 Correct 1243 ms 14256 KB Output is correct
93 Correct 993 ms 14224 KB Output is correct
94 Correct 1283 ms 14164 KB Output is correct
95 Correct 1232 ms 14156 KB Output is correct
96 Correct 867 ms 10028 KB Output is correct
97 Correct 901 ms 10004 KB Output is correct
98 Correct 1071 ms 25408 KB Output is correct
99 Correct 1049 ms 14132 KB Output is correct
100 Correct 1238 ms 11800 KB Output is correct
101 Correct 1162 ms 11180 KB Output is correct
102 Correct 1088 ms 10076 KB Output is correct
103 Correct 1185 ms 29764 KB Output is correct
104 Correct 1042 ms 30096 KB Output is correct
105 Correct 749 ms 30180 KB Output is correct
106 Correct 1324 ms 13980 KB Output is correct
107 Correct 1072 ms 10632 KB Output is correct
108 Correct 1272 ms 10396 KB Output is correct
109 Correct 1180 ms 10036 KB Output is correct