oj.uz

Submission #635187

# Submission time Handle Problem Language Result Execution time Memory
635187 2022-08-25T15:34:42 Z youngyojun Digital Circuit (IOI22_circuit) C++17
100 / 100
 1352 ms 34868 KB 
#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:30:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   30 |   int m = s+e >> 1;
      |           ~^~
circuit.cpp: In member function 'pii SEG::f(int, int, int, int, int)':
circuit.cpp:47:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   47 |   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 3 ms 4960 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 3 ms 5072 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 3 ms 5072 KB Output is correct
10 Correct 3 ms 5328 KB Output is correct
11 Correct 3 ms 5328 KB Output is correct
12 Correct 3 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 3 ms 4960 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5328 KB Output is correct
19 Correct 3 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 4 ms 5072 KB Output is correct
28 Correct 3 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 3 ms 5200 KB Output is correct
32 Correct 3 ms 5072 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 3 ms 5072 KB Output is correct
35 Correct 3 ms 5108 KB Output is correct
36 Correct 3 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 3 ms 5328 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 700 ms 7868 KB Output is correct
2 Correct 948 ms 10828 KB Output is correct
3 Correct 957 ms 10692 KB Output is correct
4 Correct 802 ms 10636 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 700 ms 7868 KB Output is correct
2 Correct 948 ms 10828 KB Output is correct
3 Correct 957 ms 10692 KB Output is correct
4 Correct 802 ms 10636 KB Output is correct
5 Correct 780 ms 7880 KB Output is correct
6 Correct 929 ms 10620 KB Output is correct
7 Correct 879 ms 10680 KB Output is correct
8 Correct 840 ms 10696 KB Output is correct
9 Correct 470 ms 5200 KB Output is correct
10 Correct 910 ms 5328 KB Output is correct
11 Correct 938 ms 5328 KB Output is correct
12 Correct 854 ms 5328 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 3 ms 5072 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 3 ms 5072 KB Output is correct
10 Correct 3 ms 5328 KB Output is correct
11 Correct 3 ms 5328 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 700 ms 7868 KB Output is correct
14 Correct 948 ms 10828 KB Output is correct
15 Correct 957 ms 10692 KB Output is correct
16 Correct 802 ms 10636 KB Output is correct
17 Correct 780 ms 7880 KB Output is correct
18 Correct 929 ms 10620 KB Output is correct
19 Correct 879 ms 10680 KB Output is correct
20 Correct 840 ms 10696 KB Output is correct
21 Correct 470 ms 5200 KB Output is correct
22 Correct 910 ms 5328 KB Output is correct
23 Correct 938 ms 5328 KB Output is correct
24 Correct 854 ms 5328 KB Output is correct
25 Correct 888 ms 14008 KB Output is correct
26 Correct 981 ms 14152 KB Output is correct
27 Correct 882 ms 14140 KB Output is correct
28 Correct 721 ms 14028 KB Output is correct
29 Correct 1061 ms 34468 KB Output is correct
30 Correct 936 ms 34388 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 3 ms 4960 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5328 KB Output is correct
19 Correct 3 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 4 ms 5072 KB Output is correct
28 Correct 3 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 3 ms 5200 KB Output is correct
32 Correct 3 ms 5072 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 3 ms 5072 KB Output is correct
35 Correct 3 ms 5108 KB Output is correct
36 Correct 3 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 3 ms 5328 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct
43 Correct 756 ms 5328 KB Output is correct
44 Correct 1109 ms 5348 KB Output is correct
45 Correct 844 ms 5368 KB Output is correct
46 Correct 939 ms 5432 KB Output is correct
47 Correct 830 ms 5456 KB Output is correct
48 Correct 912 ms 5528 KB Output is correct
49 Correct 771 ms 5552 KB Output is correct
50 Correct 710 ms 5456 KB Output is correct
51 Correct 778 ms 5328 KB Output is correct
52 Correct 847 ms 5328 KB Output is correct
53 Correct 650 ms 6224 KB Output is correct
54 Correct 1010 ms 5456 KB Output is correct
55 Correct 945 ms 5328 KB Output is correct
56 Correct 969 ms 5328 KB Output is correct
57 Correct 1129 ms 5328 KB Output is correct
58 Correct 1104 ms 6528 KB Output is correct
59 Correct 980 ms 6608 KB Output is correct
60 Correct 849 ms 6636 KB Output is correct
61 Correct 1063 ms 5584 KB Output is correct
62 Correct 824 ms 5300 KB Output is correct
63 Correct 882 ms 5200 KB Output is correct
64 Correct 1177 ms 5328 KB Output is correct
65 Correct 526 ms 5204 KB Output is correct
66 Correct 901 ms 5328 KB Output is correct
67 Correct 975 ms 5328 KB Output is correct
68 Correct 888 ms 5376 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 3 ms 4960 KB Output is correct
3 Correct 4 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5328 KB Output is correct
19 Correct 3 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 4 ms 5072 KB Output is correct
28 Correct 3 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 3 ms 5200 KB Output is correct
32 Correct 3 ms 5072 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 3 ms 5072 KB Output is correct
35 Correct 3 ms 5108 KB Output is correct
36 Correct 3 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 3 ms 5328 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct
43 Correct 700 ms 7868 KB Output is correct
44 Correct 948 ms 10828 KB Output is correct
45 Correct 957 ms 10692 KB Output is correct
46 Correct 802 ms 10636 KB Output is correct
47 Correct 780 ms 7880 KB Output is correct
48 Correct 929 ms 10620 KB Output is correct
49 Correct 879 ms 10680 KB Output is correct
50 Correct 840 ms 10696 KB Output is correct
51 Correct 470 ms 5200 KB Output is correct
52 Correct 910 ms 5328 KB Output is correct
53 Correct 938 ms 5328 KB Output is correct
54 Correct 854 ms 5328 KB Output is correct
55 Correct 888 ms 14008 KB Output is correct
56 Correct 981 ms 14152 KB Output is correct
57 Correct 882 ms 14140 KB Output is correct
58 Correct 721 ms 14028 KB Output is correct
59 Correct 1061 ms 34468 KB Output is correct
60 Correct 936 ms 34388 KB Output is correct
61 Correct 756 ms 5328 KB Output is correct
62 Correct 1109 ms 5348 KB Output is correct
63 Correct 844 ms 5368 KB Output is correct
64 Correct 939 ms 5432 KB Output is correct
65 Correct 830 ms 5456 KB Output is correct
66 Correct 912 ms 5528 KB Output is correct
67 Correct 771 ms 5552 KB Output is correct
68 Correct 710 ms 5456 KB Output is correct
69 Correct 778 ms 5328 KB Output is correct
70 Correct 847 ms 5328 KB Output is correct
71 Correct 650 ms 6224 KB Output is correct
72 Correct 1010 ms 5456 KB Output is correct
73 Correct 945 ms 5328 KB Output is correct
74 Correct 969 ms 5328 KB Output is correct
75 Correct 1129 ms 5328 KB Output is correct
76 Correct 1104 ms 6528 KB Output is correct
77 Correct 980 ms 6608 KB Output is correct
78 Correct 849 ms 6636 KB Output is correct
79 Correct 1063 ms 5584 KB Output is correct
80 Correct 824 ms 5300 KB Output is correct
81 Correct 882 ms 5200 KB Output is correct
82 Correct 1177 ms 5328 KB Output is correct
83 Correct 526 ms 5204 KB Output is correct
84 Correct 901 ms 5328 KB Output is correct
85 Correct 975 ms 5328 KB Output is correct
86 Correct 888 ms 5376 KB Output is correct
87 Correct 3 ms 4992 KB Output is correct
88 Correct 684 ms 13484 KB Output is correct
89 Correct 1036 ms 10932 KB Output is correct
90 Correct 796 ms 10676 KB Output is correct
91 Correct 1032 ms 14248 KB Output is correct
92 Correct 1056 ms 14276 KB Output is correct
93 Correct 1227 ms 14260 KB Output is correct
94 Correct 1141 ms 14160 KB Output is correct
95 Correct 1275 ms 14160 KB Output is correct
96 Correct 1205 ms 9896 KB Output is correct
97 Correct 976 ms 9908 KB Output is correct
98 Correct 815 ms 30004 KB Output is correct
99 Correct 1352 ms 14140 KB Output is correct
100 Correct 1323 ms 11716 KB Output is correct
101 Correct 1002 ms 11244 KB Output is correct
102 Correct 1035 ms 9960 KB Output is correct
103 Correct 1240 ms 34436 KB Output is correct
104 Correct 1283 ms 34848 KB Output is correct
105 Correct 1118 ms 34868 KB Output is correct
106 Correct 1175 ms 15212 KB Output is correct
107 Correct 1069 ms 10584 KB Output is correct
108 Correct 1120 ms 10384 KB Output is correct
109 Correct 1145 ms 10076 KB Output is correct