oj.uz

Submission #794354

# Submission time Handle Problem Language Result Execution time Memory
794354 2023-07-26T13:09:40 Z IvanJ Digital Circuit (IOI22_circuit) C++17
100 / 100
 953 ms 43464 KB 
#include "circuit.h"
#include<bits/stdc++.h>

#define pb push_back
#define x first
#define y second
#define all(a) (a).begin(), (a).end()

using namespace std;

typedef long long ll;
typedef pair<int, int> ii;

const int maxn = 2e5 + 5;
const int MOD = 1000002022;

int mult(ll x, ll y) {return x * y % MOD;}
int add(int x, int y) {x += y;if(x >= MOD) x -= MOD;return x;}

int n, m;
int c[maxn];
int prod[maxn];
vector<int> adj[maxn];
vector<int> pref[maxn], suff[maxn];

struct Seg {
	int pot;
	vector<ii> T;
	vector<int> L;
	void init(int sz) {
		pot = 1;
		while(pot < sz) pot <<= 1;
		for(int i = 0;i < (pot << 1);i++) T.pb({0, 0}), L.pb(0);
		for(int i = 0;i < m;i++) 
			T[i + pot] = {0, c[i]};
		for(int i = pot - 1;i > 0;i--) {
			T[i].x = add(T[i * 2].x, T[i * 2 + 1].x);
			T[i].y = add(T[i * 2].y, T[i * 2 + 1].y);
		}
	}
	
	void prop(int x) {
		if(L[x] == 0) return;
		swap(T[x].x, T[x].y);
		if(x < pot)
			L[x * 2] ^= 1, L[x * 2 + 1] ^= 1;
		L[x] = 0;
	}
	
	void update(int x, int lo, int hi, int a, int b) {
		prop(x);
		if(hi < a || b < lo) return;
		if(a <= lo && hi <= b) {
			L[x] ^= 1;
			prop(x);
			return;
		}
		int mid = (lo + hi) / 2;
		update(x * 2, lo, mid, a, b);
		update(x * 2 + 1, mid + 1, hi, a, b);
		T[x].x = add(T[x * 2].x, T[x * 2 + 1].x);
		T[x].y = add(T[x * 2].y, T[x * 2 + 1].y);
	}
	
	void toggle(int lo, int hi) {update(1, 0, pot - 1, lo, hi);}
	
	int get() {return T[1].x;}
} S;

void dfs(int x) {
	prod[x] = (int)adj[x].size();
	for(int y : adj[x]) dfs(y);
	
	for(int y : adj[x]) {
		int p = 1;
		if(pref[x].size()) p = pref[x].back();
		pref[x].pb(mult(p, prod[y]));
	}
	reverse(all(adj[x]));
	for(int y : adj[x]) {
		int p = 1;
		if(suff[x].size()) p = suff[x].back();
		suff[x].pb(mult(p, prod[y]));
	}
	reverse(all(suff[x]));
	reverse(all(adj[x]));
	
	if(pref[x].size())
		prod[x] = mult(prod[x], pref[x].back());
	if(adj[x].size() == 0) 
		prod[x] = 1;
}

void solve(int x, int sol) {
	if(x >= n) c[x - n] = sol;
	int i = 0;
	for(int y : adj[x]) {
		int l = 1;
		if(i) l = pref[x][i - 1];
		int r = 1;
		if(i < (int)adj[x].size() - 1) r = suff[x][i + 1];
		solve(y, mult(sol, mult(l, r)));
		i++;
	}
}

void init(int N, int M, vector<int> P, vector<int> A) {
	n = N, m = M;
	for(int i = 1;i < n + m;i++) 
		adj[P[i]].pb(i);
		
	dfs(0);
	solve(0, 1);
	S.init(m);
	for(int i = 0;i < m;i++) 
		if(A[i]) S.toggle(i, i);
}

int count_ways(int L, int R) {
	L -= n, R -= n;
	S.toggle(L, R);
	return S.get();
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14376 KB Output is correct
2 Correct 8 ms 14288 KB Output is correct
3 Correct 6 ms 14412 KB Output is correct
4 Correct 8 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14440 KB Output is correct
7 Correct 9 ms 14412 KB Output is correct
8 Correct 9 ms 14472 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14288 KB Output is correct
2 Correct 7 ms 14416 KB Output is correct
3 Correct 7 ms 14424 KB Output is correct
4 Correct 7 ms 14416 KB Output is correct
5 Correct 7 ms 14416 KB Output is correct
6 Correct 7 ms 14416 KB Output is correct
7 Correct 7 ms 14528 KB Output is correct
8 Correct 8 ms 14544 KB Output is correct
9 Correct 7 ms 14544 KB Output is correct
10 Correct 7 ms 14544 KB Output is correct
11 Correct 7 ms 14664 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14376 KB Output is correct
2 Correct 8 ms 14288 KB Output is correct
3 Correct 6 ms 14412 KB Output is correct
4 Correct 8 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14440 KB Output is correct
7 Correct 9 ms 14412 KB Output is correct
8 Correct 9 ms 14472 KB Output is correct
9 Correct 6 ms 14288 KB Output is correct
10 Correct 7 ms 14416 KB Output is correct
11 Correct 7 ms 14424 KB Output is correct
12 Correct 7 ms 14416 KB Output is correct
13 Correct 7 ms 14416 KB Output is correct
14 Correct 7 ms 14416 KB Output is correct
15 Correct 7 ms 14528 KB Output is correct
16 Correct 8 ms 14544 KB Output is correct
17 Correct 7 ms 14544 KB Output is correct
18 Correct 7 ms 14544 KB Output is correct
19 Correct 7 ms 14664 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 9 ms 14416 KB Output is correct
22 Correct 9 ms 14424 KB Output is correct
23 Correct 10 ms 14416 KB Output is correct
24 Correct 8 ms 14548 KB Output is correct
25 Correct 8 ms 14492 KB Output is correct
26 Correct 7 ms 14544 KB Output is correct
27 Correct 7 ms 14544 KB Output is correct
28 Correct 6 ms 14544 KB Output is correct
29 Correct 8 ms 14468 KB Output is correct
30 Correct 7 ms 14416 KB Output is correct
31 Correct 7 ms 14616 KB Output is correct
32 Correct 6 ms 14480 KB Output is correct
33 Correct 7 ms 14416 KB Output is correct
34 Correct 7 ms 14416 KB Output is correct
35 Correct 7 ms 14416 KB Output is correct
36 Correct 7 ms 14672 KB Output is correct
37 Correct 8 ms 14580 KB Output is correct
38 Correct 8 ms 14672 KB Output is correct
39 Correct 7 ms 14416 KB Output is correct
40 Correct 7 ms 14464 KB Output is correct
41 Correct 9 ms 14416 KB Output is correct
42 Correct 9 ms 14416 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 569 ms 19592 KB Output is correct
2 Correct 737 ms 24876 KB Output is correct
3 Correct 814 ms 24832 KB Output is correct
4 Correct 803 ms 24936 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 569 ms 19592 KB Output is correct
2 Correct 737 ms 24876 KB Output is correct
3 Correct 814 ms 24832 KB Output is correct
4 Correct 803 ms 24936 KB Output is correct
5 Correct 517 ms 19648 KB Output is correct
6 Correct 794 ms 24876 KB Output is correct
7 Correct 765 ms 24896 KB Output is correct
8 Correct 773 ms 24840 KB Output is correct
9 Correct 315 ms 14672 KB Output is correct
10 Correct 587 ms 15056 KB Output is correct
11 Correct 666 ms 15044 KB Output is correct
12 Correct 722 ms 15056 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14288 KB Output is correct
2 Correct 7 ms 14416 KB Output is correct
3 Correct 7 ms 14424 KB Output is correct
4 Correct 7 ms 14416 KB Output is correct
5 Correct 7 ms 14416 KB Output is correct
6 Correct 7 ms 14416 KB Output is correct
7 Correct 7 ms 14528 KB Output is correct
8 Correct 8 ms 14544 KB Output is correct
9 Correct 7 ms 14544 KB Output is correct
10 Correct 7 ms 14544 KB Output is correct
11 Correct 7 ms 14664 KB Output is correct
12 Correct 7 ms 14420 KB Output is correct
13 Correct 569 ms 19592 KB Output is correct
14 Correct 737 ms 24876 KB Output is correct
15 Correct 814 ms 24832 KB Output is correct
16 Correct 803 ms 24936 KB Output is correct
17 Correct 517 ms 19648 KB Output is correct
18 Correct 794 ms 24876 KB Output is correct
19 Correct 765 ms 24896 KB Output is correct
20 Correct 773 ms 24840 KB Output is correct
21 Correct 315 ms 14672 KB Output is correct
22 Correct 587 ms 15056 KB Output is correct
23 Correct 666 ms 15044 KB Output is correct
24 Correct 722 ms 15056 KB Output is correct
25 Correct 858 ms 31188 KB Output is correct
26 Correct 765 ms 31336 KB Output is correct
27 Correct 764 ms 31348 KB Output is correct
28 Correct 678 ms 31304 KB Output is correct
29 Correct 824 ms 42280 KB Output is correct
30 Correct 740 ms 42304 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14376 KB Output is correct
2 Correct 8 ms 14288 KB Output is correct
3 Correct 6 ms 14412 KB Output is correct
4 Correct 8 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14440 KB Output is correct
7 Correct 9 ms 14412 KB Output is correct
8 Correct 9 ms 14472 KB Output is correct
9 Correct 6 ms 14288 KB Output is correct
10 Correct 7 ms 14416 KB Output is correct
11 Correct 7 ms 14424 KB Output is correct
12 Correct 7 ms 14416 KB Output is correct
13 Correct 7 ms 14416 KB Output is correct
14 Correct 7 ms 14416 KB Output is correct
15 Correct 7 ms 14528 KB Output is correct
16 Correct 8 ms 14544 KB Output is correct
17 Correct 7 ms 14544 KB Output is correct
18 Correct 7 ms 14544 KB Output is correct
19 Correct 7 ms 14664 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 9 ms 14416 KB Output is correct
22 Correct 9 ms 14424 KB Output is correct
23 Correct 10 ms 14416 KB Output is correct
24 Correct 8 ms 14548 KB Output is correct
25 Correct 8 ms 14492 KB Output is correct
26 Correct 7 ms 14544 KB Output is correct
27 Correct 7 ms 14544 KB Output is correct
28 Correct 6 ms 14544 KB Output is correct
29 Correct 8 ms 14468 KB Output is correct
30 Correct 7 ms 14416 KB Output is correct
31 Correct 7 ms 14616 KB Output is correct
32 Correct 6 ms 14480 KB Output is correct
33 Correct 7 ms 14416 KB Output is correct
34 Correct 7 ms 14416 KB Output is correct
35 Correct 7 ms 14416 KB Output is correct
36 Correct 7 ms 14672 KB Output is correct
37 Correct 8 ms 14580 KB Output is correct
38 Correct 8 ms 14672 KB Output is correct
39 Correct 7 ms 14416 KB Output is correct
40 Correct 7 ms 14464 KB Output is correct
41 Correct 9 ms 14416 KB Output is correct
42 Correct 9 ms 14416 KB Output is correct
43 Correct 369 ms 14896 KB Output is correct
44 Correct 752 ms 14996 KB Output is correct
45 Correct 783 ms 14944 KB Output is correct
46 Correct 724 ms 15312 KB Output is correct
47 Correct 720 ms 15312 KB Output is correct
48 Correct 642 ms 15312 KB Output is correct
49 Correct 736 ms 15300 KB Output is correct
50 Correct 757 ms 15300 KB Output is correct
51 Correct 664 ms 14816 KB Output is correct
52 Correct 595 ms 14868 KB Output is correct
53 Correct 627 ms 15420 KB Output is correct
54 Correct 756 ms 15224 KB Output is correct
55 Correct 679 ms 15056 KB Output is correct
56 Correct 829 ms 14928 KB Output is correct
57 Correct 571 ms 14840 KB Output is correct
58 Correct 797 ms 15824 KB Output is correct
59 Correct 719 ms 15932 KB Output is correct
60 Correct 823 ms 15928 KB Output is correct
61 Correct 704 ms 15016 KB Output is correct
62 Correct 561 ms 14824 KB Output is correct
63 Correct 811 ms 14764 KB Output is correct
64 Correct 658 ms 14868 KB Output is correct
65 Correct 410 ms 14672 KB Output is correct
66 Correct 699 ms 15056 KB Output is correct
67 Correct 598 ms 15076 KB Output is correct
68 Correct 701 ms 15056 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14376 KB Output is correct
2 Correct 8 ms 14288 KB Output is correct
3 Correct 6 ms 14412 KB Output is correct
4 Correct 8 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14440 KB Output is correct
7 Correct 9 ms 14412 KB Output is correct
8 Correct 9 ms 14472 KB Output is correct
9 Correct 6 ms 14288 KB Output is correct
10 Correct 7 ms 14416 KB Output is correct
11 Correct 7 ms 14424 KB Output is correct
12 Correct 7 ms 14416 KB Output is correct
13 Correct 7 ms 14416 KB Output is correct
14 Correct 7 ms 14416 KB Output is correct
15 Correct 7 ms 14528 KB Output is correct
16 Correct 8 ms 14544 KB Output is correct
17 Correct 7 ms 14544 KB Output is correct
18 Correct 7 ms 14544 KB Output is correct
19 Correct 7 ms 14664 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 9 ms 14416 KB Output is correct
22 Correct 9 ms 14424 KB Output is correct
23 Correct 10 ms 14416 KB Output is correct
24 Correct 8 ms 14548 KB Output is correct
25 Correct 8 ms 14492 KB Output is correct
26 Correct 7 ms 14544 KB Output is correct
27 Correct 7 ms 14544 KB Output is correct
28 Correct 6 ms 14544 KB Output is correct
29 Correct 8 ms 14468 KB Output is correct
30 Correct 7 ms 14416 KB Output is correct
31 Correct 7 ms 14616 KB Output is correct
32 Correct 6 ms 14480 KB Output is correct
33 Correct 7 ms 14416 KB Output is correct
34 Correct 7 ms 14416 KB Output is correct
35 Correct 7 ms 14416 KB Output is correct
36 Correct 7 ms 14672 KB Output is correct
37 Correct 8 ms 14580 KB Output is correct
38 Correct 8 ms 14672 KB Output is correct
39 Correct 7 ms 14416 KB Output is correct
40 Correct 7 ms 14464 KB Output is correct
41 Correct 9 ms 14416 KB Output is correct
42 Correct 9 ms 14416 KB Output is correct
43 Correct 569 ms 19592 KB Output is correct
44 Correct 737 ms 24876 KB Output is correct
45 Correct 814 ms 24832 KB Output is correct
46 Correct 803 ms 24936 KB Output is correct
47 Correct 517 ms 19648 KB Output is correct
48 Correct 794 ms 24876 KB Output is correct
49 Correct 765 ms 24896 KB Output is correct
50 Correct 773 ms 24840 KB Output is correct
51 Correct 315 ms 14672 KB Output is correct
52 Correct 587 ms 15056 KB Output is correct
53 Correct 666 ms 15044 KB Output is correct
54 Correct 722 ms 15056 KB Output is correct
55 Correct 858 ms 31188 KB Output is correct
56 Correct 765 ms 31336 KB Output is correct
57 Correct 764 ms 31348 KB Output is correct
58 Correct 678 ms 31304 KB Output is correct
59 Correct 824 ms 42280 KB Output is correct
60 Correct 740 ms 42304 KB Output is correct
61 Correct 369 ms 14896 KB Output is correct
62 Correct 752 ms 14996 KB Output is correct
63 Correct 783 ms 14944 KB Output is correct
64 Correct 724 ms 15312 KB Output is correct
65 Correct 720 ms 15312 KB Output is correct
66 Correct 642 ms 15312 KB Output is correct
67 Correct 736 ms 15300 KB Output is correct
68 Correct 757 ms 15300 KB Output is correct
69 Correct 664 ms 14816 KB Output is correct
70 Correct 595 ms 14868 KB Output is correct
71 Correct 627 ms 15420 KB Output is correct
72 Correct 756 ms 15224 KB Output is correct
73 Correct 679 ms 15056 KB Output is correct
74 Correct 829 ms 14928 KB Output is correct
75 Correct 571 ms 14840 KB Output is correct
76 Correct 797 ms 15824 KB Output is correct
77 Correct 719 ms 15932 KB Output is correct
78 Correct 823 ms 15928 KB Output is correct
79 Correct 704 ms 15016 KB Output is correct
80 Correct 561 ms 14824 KB Output is correct
81 Correct 811 ms 14764 KB Output is correct
82 Correct 658 ms 14868 KB Output is correct
83 Correct 410 ms 14672 KB Output is correct
84 Correct 699 ms 15056 KB Output is correct
85 Correct 598 ms 15076 KB Output is correct
86 Correct 701 ms 15056 KB Output is correct
87 Correct 7 ms 14384 KB Output is correct
88 Correct 507 ms 30516 KB Output is correct
89 Correct 789 ms 25912 KB Output is correct
90 Correct 744 ms 24892 KB Output is correct
91 Correct 840 ms 31696 KB Output is correct
92 Correct 807 ms 31688 KB Output is correct
93 Correct 726 ms 31736 KB Output is correct
94 Correct 897 ms 31692 KB Output is correct
95 Correct 858 ms 31728 KB Output is correct
96 Correct 689 ms 21936 KB Output is correct
97 Correct 656 ms 21952 KB Output is correct
98 Correct 763 ms 35888 KB Output is correct
99 Correct 834 ms 31396 KB Output is correct
100 Correct 805 ms 26028 KB Output is correct
101 Correct 707 ms 24752 KB Output is correct
102 Correct 735 ms 22180 KB Output is correct
103 Correct 953 ms 42296 KB Output is correct
104 Correct 742 ms 43464 KB Output is correct
105 Correct 597 ms 43464 KB Output is correct
106 Correct 832 ms 27972 KB Output is correct
107 Correct 793 ms 24484 KB Output is correct
108 Correct 816 ms 23700 KB Output is correct
109 Correct 875 ms 22544 KB Output is correct