oj.uz

Submission #800689

# Submission time Handle Problem Language Result Execution time Memory
800689 2023-08-01T18:12:43 Z dxz05 Digital Circuit (IOI22_circuit) C++17
100 / 100
 1869 ms 44536 KB 
#include "circuit.h"
#include <bits/stdc++.h>
 
using namespace std;
 
const int MaxN = 200005;
const int MOD = 1e9 + 2022;

int binpow(int n, int k){
	int res = 1;
    while (k > 0){
        if (k & 1) res = 1LL * res * n % MOD;
        n = 1LL * n * n % MOD;
        k >>= 1;
    }
    return res;
}

int N, M;
vector<int> A;
 
int contribution[MaxN];
 
struct node{
	int sum;
	int sum2;
	bool flag;
	
	node(){
		sum = sum2 = 0;
		flag = false;
	};
};
 
node tree[4 * MaxN];
 
void flip(int v){
	swap(tree[v].sum, tree[v].sum2);
	tree[v].flag ^= 1;
}
 
void push(int v, int tl, int tr){
	if (tl == tr || !tree[v].flag) return;
	flip(v << 1);
	flip(v << 1 | 1);
	tree[v].flag = false;
}
 
void build(int v, int tl, int tr){
	if (tl == tr){
		tree[v].sum = A[tl - N] * contribution[tl];
		tree[v].sum2 = (!A[tl - N]) * contribution[tl];
		return;
	}
	int tm = (tl + tr) >> 1;
	build(v << 1, tl, tm);
	build(v << 1 | 1, tm + 1, tr);
	
	tree[v].sum = (tree[v << 1].sum + tree[v << 1 | 1].sum) % MOD;
	tree[v].sum2 = (tree[v << 1].sum2 + tree[v << 1 | 1].sum2) % MOD;
}
 
void update(int v, int tl, int tr, int l, int r){
	push(v, tl, tr);
	if (l <= tl && tr <= r){
		flip(v);
		return;
	}
	if (tl > r || tr < l) return;
	int tm = (tl + tr) >> 1;
	update(v << 1, tl, tm, l, r);
	update(v << 1 | 1, tm + 1, tr, l, r);
	
	tree[v].sum = (tree[v << 1].sum + tree[v << 1 | 1].sum) % MOD;
	tree[v].sum2 = (tree[v << 1].sum2 + tree[v << 1 | 1].sum2) % MOD;
}
 
void update(int l, int r){
	update(1, N, N + M - 1, l, r);
}
 
int get(){
	return tree[1].sum;
}
 
vector<int> g[MaxN];
 
int dep[MaxN];

void dfs(int v, int p, map<int, int> mp){	
	int sz = (int) g[v].size();
	if (sz == 0){
		int &res = contribution[v];	
		res = 1;
		for (auto [d, cnt] : mp){
			res = 1LL * res * binpow(d, cnt) % MOD;
		}
	} else {
		mp[sz]--;
	}
	
	for (int u : g[v]){
		if (u != p){
			dfs(u, v, mp);
		}
	}
}
 
void init(int _N, int _M, vector<int> P, vector<int> _A) {
    N = _N, M = _M, A = _A;
    for (int i = 1; i < N + M; i++){
        g[P[i]].push_back(i);
    }
    
    map<int, int> mp;
    for (int i = 0; i < N; i++){
		mp[(int) g[i].size()]++;
	}
	
    dfs(0, -1, mp);
        
    build(1, N, N + M - 1);
}
 
int count_ways(int L, int R) {
    update(L, R);
    return get();
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14288 KB Output is correct
2 Correct 7 ms 14288 KB Output is correct
3 Correct 6 ms 14328 KB Output is correct
4 Correct 6 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14416 KB Output is correct
7 Correct 6 ms 14416 KB Output is correct
8 Correct 7 ms 14416 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 6 ms 14416 KB Output is correct
3 Correct 6 ms 14416 KB Output is correct
4 Correct 6 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 14416 KB Output is correct
8 Correct 7 ms 14416 KB Output is correct
9 Correct 7 ms 14416 KB Output is correct
10 Correct 7 ms 14544 KB Output is correct
11 Correct 7 ms 14544 KB Output is correct
12 Correct 6 ms 14416 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14288 KB Output is correct
2 Correct 7 ms 14288 KB Output is correct
3 Correct 6 ms 14328 KB Output is correct
4 Correct 6 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14416 KB Output is correct
7 Correct 6 ms 14416 KB Output is correct
8 Correct 7 ms 14416 KB Output is correct
9 Correct 6 ms 14288 KB Output is correct
10 Correct 6 ms 14416 KB Output is correct
11 Correct 6 ms 14416 KB Output is correct
12 Correct 6 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 14416 KB Output is correct
16 Correct 7 ms 14416 KB Output is correct
17 Correct 7 ms 14416 KB Output is correct
18 Correct 7 ms 14544 KB Output is correct
19 Correct 7 ms 14544 KB Output is correct
20 Correct 6 ms 14416 KB Output is correct
21 Correct 7 ms 14452 KB Output is correct
22 Correct 6 ms 14416 KB Output is correct
23 Correct 6 ms 14416 KB Output is correct
24 Correct 7 ms 14416 KB Output is correct
25 Correct 7 ms 14396 KB Output is correct
26 Correct 7 ms 14416 KB Output is correct
27 Correct 8 ms 14404 KB Output is correct
28 Correct 8 ms 14416 KB Output is correct
29 Correct 6 ms 14416 KB Output is correct
30 Correct 7 ms 14348 KB Output is correct
31 Correct 7 ms 14552 KB Output is correct
32 Correct 7 ms 14416 KB Output is correct
33 Correct 7 ms 14416 KB Output is correct
34 Correct 7 ms 14368 KB Output is correct
35 Correct 6 ms 14416 KB Output is correct
36 Correct 7 ms 14664 KB Output is correct
37 Correct 7 ms 14624 KB Output is correct
38 Correct 7 ms 14672 KB Output is correct
39 Correct 7 ms 14416 KB Output is correct
40 Correct 7 ms 14380 KB Output is correct
41 Correct 7 ms 14416 KB Output is correct
42 Correct 7 ms 14416 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 439 ms 16464 KB Output is correct
2 Correct 712 ms 18444 KB Output is correct
3 Correct 839 ms 18500 KB Output is correct
4 Correct 641 ms 18488 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 439 ms 16464 KB Output is correct
2 Correct 712 ms 18444 KB Output is correct
3 Correct 839 ms 18500 KB Output is correct
4 Correct 641 ms 18488 KB Output is correct
5 Correct 653 ms 16460 KB Output is correct
6 Correct 726 ms 18496 KB Output is correct
7 Correct 880 ms 18516 KB Output is correct
8 Correct 710 ms 18472 KB Output is correct
9 Correct 386 ms 14416 KB Output is correct
10 Correct 629 ms 14544 KB Output is correct
11 Correct 651 ms 14544 KB Output is correct
12 Correct 607 ms 14560 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 6 ms 14416 KB Output is correct
3 Correct 6 ms 14416 KB Output is correct
4 Correct 6 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 14416 KB Output is correct
8 Correct 7 ms 14416 KB Output is correct
9 Correct 7 ms 14416 KB Output is correct
10 Correct 7 ms 14544 KB Output is correct
11 Correct 7 ms 14544 KB Output is correct
12 Correct 6 ms 14416 KB Output is correct
13 Correct 439 ms 16464 KB Output is correct
14 Correct 712 ms 18444 KB Output is correct
15 Correct 839 ms 18500 KB Output is correct
16 Correct 641 ms 18488 KB Output is correct
17 Correct 653 ms 16460 KB Output is correct
18 Correct 726 ms 18496 KB Output is correct
19 Correct 880 ms 18516 KB Output is correct
20 Correct 710 ms 18472 KB Output is correct
21 Correct 386 ms 14416 KB Output is correct
22 Correct 629 ms 14544 KB Output is correct
23 Correct 651 ms 14544 KB Output is correct
24 Correct 607 ms 14560 KB Output is correct
25 Correct 882 ms 20552 KB Output is correct
26 Correct 743 ms 20668 KB Output is correct
27 Correct 903 ms 20660 KB Output is correct
28 Correct 696 ms 20660 KB Output is correct
29 Correct 795 ms 39508 KB Output is correct
30 Correct 777 ms 39348 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14288 KB Output is correct
2 Correct 7 ms 14288 KB Output is correct
3 Correct 6 ms 14328 KB Output is correct
4 Correct 6 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14416 KB Output is correct
7 Correct 6 ms 14416 KB Output is correct
8 Correct 7 ms 14416 KB Output is correct
9 Correct 6 ms 14288 KB Output is correct
10 Correct 6 ms 14416 KB Output is correct
11 Correct 6 ms 14416 KB Output is correct
12 Correct 6 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 14416 KB Output is correct
16 Correct 7 ms 14416 KB Output is correct
17 Correct 7 ms 14416 KB Output is correct
18 Correct 7 ms 14544 KB Output is correct
19 Correct 7 ms 14544 KB Output is correct
20 Correct 6 ms 14416 KB Output is correct
21 Correct 7 ms 14452 KB Output is correct
22 Correct 6 ms 14416 KB Output is correct
23 Correct 6 ms 14416 KB Output is correct
24 Correct 7 ms 14416 KB Output is correct
25 Correct 7 ms 14396 KB Output is correct
26 Correct 7 ms 14416 KB Output is correct
27 Correct 8 ms 14404 KB Output is correct
28 Correct 8 ms 14416 KB Output is correct
29 Correct 6 ms 14416 KB Output is correct
30 Correct 7 ms 14348 KB Output is correct
31 Correct 7 ms 14552 KB Output is correct
32 Correct 7 ms 14416 KB Output is correct
33 Correct 7 ms 14416 KB Output is correct
34 Correct 7 ms 14368 KB Output is correct
35 Correct 6 ms 14416 KB Output is correct
36 Correct 7 ms 14664 KB Output is correct
37 Correct 7 ms 14624 KB Output is correct
38 Correct 7 ms 14672 KB Output is correct
39 Correct 7 ms 14416 KB Output is correct
40 Correct 7 ms 14380 KB Output is correct
41 Correct 7 ms 14416 KB Output is correct
42 Correct 7 ms 14416 KB Output is correct
43 Correct 529 ms 14544 KB Output is correct
44 Correct 623 ms 14544 KB Output is correct
45 Correct 669 ms 14544 KB Output is correct
46 Correct 707 ms 14692 KB Output is correct
47 Correct 694 ms 14672 KB Output is correct
48 Correct 727 ms 14672 KB Output is correct
49 Correct 670 ms 14732 KB Output is correct
50 Correct 827 ms 14672 KB Output is correct
51 Correct 658 ms 14544 KB Output is correct
52 Correct 797 ms 14544 KB Output is correct
53 Correct 631 ms 15440 KB Output is correct
54 Correct 824 ms 14672 KB Output is correct
55 Correct 848 ms 14544 KB Output is correct
56 Correct 726 ms 14544 KB Output is correct
57 Correct 721 ms 14416 KB Output is correct
58 Correct 595 ms 15824 KB Output is correct
59 Correct 623 ms 15824 KB Output is correct
60 Correct 743 ms 15824 KB Output is correct
61 Correct 641 ms 14928 KB Output is correct
62 Correct 830 ms 14544 KB Output is correct
63 Correct 745 ms 14544 KB Output is correct
64 Correct 639 ms 14620 KB Output is correct
65 Correct 310 ms 14504 KB Output is correct
66 Correct 649 ms 14544 KB Output is correct
67 Correct 682 ms 14548 KB Output is correct
68 Correct 549 ms 14544 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14288 KB Output is correct
2 Correct 7 ms 14288 KB Output is correct
3 Correct 6 ms 14328 KB Output is correct
4 Correct 6 ms 14416 KB Output is correct
5 Correct 6 ms 14416 KB Output is correct
6 Correct 7 ms 14416 KB Output is correct
7 Correct 6 ms 14416 KB Output is correct
8 Correct 7 ms 14416 KB Output is correct
9 Correct 6 ms 14288 KB Output is correct
10 Correct 6 ms 14416 KB Output is correct
11 Correct 6 ms 14416 KB Output is correct
12 Correct 6 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 14416 KB Output is correct
16 Correct 7 ms 14416 KB Output is correct
17 Correct 7 ms 14416 KB Output is correct
18 Correct 7 ms 14544 KB Output is correct
19 Correct 7 ms 14544 KB Output is correct
20 Correct 6 ms 14416 KB Output is correct
21 Correct 7 ms 14452 KB Output is correct
22 Correct 6 ms 14416 KB Output is correct
23 Correct 6 ms 14416 KB Output is correct
24 Correct 7 ms 14416 KB Output is correct
25 Correct 7 ms 14396 KB Output is correct
26 Correct 7 ms 14416 KB Output is correct
27 Correct 8 ms 14404 KB Output is correct
28 Correct 8 ms 14416 KB Output is correct
29 Correct 6 ms 14416 KB Output is correct
30 Correct 7 ms 14348 KB Output is correct
31 Correct 7 ms 14552 KB Output is correct
32 Correct 7 ms 14416 KB Output is correct
33 Correct 7 ms 14416 KB Output is correct
34 Correct 7 ms 14368 KB Output is correct
35 Correct 6 ms 14416 KB Output is correct
36 Correct 7 ms 14664 KB Output is correct
37 Correct 7 ms 14624 KB Output is correct
38 Correct 7 ms 14672 KB Output is correct
39 Correct 7 ms 14416 KB Output is correct
40 Correct 7 ms 14380 KB Output is correct
41 Correct 7 ms 14416 KB Output is correct
42 Correct 7 ms 14416 KB Output is correct
43 Correct 439 ms 16464 KB Output is correct
44 Correct 712 ms 18444 KB Output is correct
45 Correct 839 ms 18500 KB Output is correct
46 Correct 641 ms 18488 KB Output is correct
47 Correct 653 ms 16460 KB Output is correct
48 Correct 726 ms 18496 KB Output is correct
49 Correct 880 ms 18516 KB Output is correct
50 Correct 710 ms 18472 KB Output is correct
51 Correct 386 ms 14416 KB Output is correct
52 Correct 629 ms 14544 KB Output is correct
53 Correct 651 ms 14544 KB Output is correct
54 Correct 607 ms 14560 KB Output is correct
55 Correct 882 ms 20552 KB Output is correct
56 Correct 743 ms 20668 KB Output is correct
57 Correct 903 ms 20660 KB Output is correct
58 Correct 696 ms 20660 KB Output is correct
59 Correct 795 ms 39508 KB Output is correct
60 Correct 777 ms 39348 KB Output is correct
61 Correct 529 ms 14544 KB Output is correct
62 Correct 623 ms 14544 KB Output is correct
63 Correct 669 ms 14544 KB Output is correct
64 Correct 707 ms 14692 KB Output is correct
65 Correct 694 ms 14672 KB Output is correct
66 Correct 727 ms 14672 KB Output is correct
67 Correct 670 ms 14732 KB Output is correct
68 Correct 827 ms 14672 KB Output is correct
69 Correct 658 ms 14544 KB Output is correct
70 Correct 797 ms 14544 KB Output is correct
71 Correct 631 ms 15440 KB Output is correct
72 Correct 824 ms 14672 KB Output is correct
73 Correct 848 ms 14544 KB Output is correct
74 Correct 726 ms 14544 KB Output is correct
75 Correct 721 ms 14416 KB Output is correct
76 Correct 595 ms 15824 KB Output is correct
77 Correct 623 ms 15824 KB Output is correct
78 Correct 743 ms 15824 KB Output is correct
79 Correct 641 ms 14928 KB Output is correct
80 Correct 830 ms 14544 KB Output is correct
81 Correct 745 ms 14544 KB Output is correct
82 Correct 639 ms 14620 KB Output is correct
83 Correct 310 ms 14504 KB Output is correct
84 Correct 649 ms 14544 KB Output is correct
85 Correct 682 ms 14548 KB Output is correct
86 Correct 549 ms 14544 KB Output is correct
87 Correct 6 ms 14288 KB Output is correct
88 Correct 613 ms 20096 KB Output is correct
89 Correct 742 ms 18632 KB Output is correct
90 Correct 695 ms 18404 KB Output is correct
91 Correct 785 ms 20792 KB Output is correct
92 Correct 797 ms 20808 KB Output is correct
93 Correct 1103 ms 20796 KB Output is correct
94 Correct 1027 ms 20804 KB Output is correct
95 Correct 845 ms 20796 KB Output is correct
96 Correct 719 ms 17228 KB Output is correct
97 Correct 867 ms 17196 KB Output is correct
98 Correct 569 ms 36996 KB Output is correct
99 Correct 870 ms 20564 KB Output is correct
100 Correct 847 ms 18616 KB Output is correct
101 Correct 789 ms 18232 KB Output is correct
102 Correct 692 ms 17236 KB Output is correct
103 Correct 898 ms 44108 KB Output is correct
104 Correct 838 ms 44504 KB Output is correct
105 Correct 733 ms 44536 KB Output is correct
106 Correct 757 ms 28464 KB Output is correct
107 Correct 778 ms 17596 KB Output is correct
108 Correct 743 ms 17460 KB Output is correct
109 Correct 1869 ms 17708 KB Output is correct