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Submission #1025276

# Submission time Handle Problem Language Result Execution time Memory
1025276 2024-07-16T19:02:53 Z vjudge1 Digital Circuit (IOI22_circuit) C++17
100 / 100
 738 ms 26212 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
pair<int, int> pii;

const int MOD = 1000002022;
const int maxn = 2e5 + 100;

int n, k;
int p[maxn];
vector<int> g[maxn];
int a[maxn];
int t[maxn * 4];
ll sum[maxn];
ll d[2][maxn * 4];
ll dp[maxn];

void pre(int v){
	swap(d[0][v], d[1][v]);
	t[v] ^= 1;
}

void push(int v, int tl, int tr){
	if(tl == tr || !t[v]) return;
	t[v] = 0; pre(v<<1); pre(v<<1|1);
}

void build(int v = 1, int tl = k + 1, int tr = n){
	if(tl == tr){
		d[a[tl]][v] = dp[tl];
	} else{
		int mid = (tl + tr) >> 1;
		build(v<<1, tl, mid);
		build(v<<1|1, mid+1, tr);
		d[0][v] = (d[0][v<<1] + d[0][v<<1|1]) % MOD;
		d[1][v] = (d[1][v<<1] + d[1][v<<1|1]) % MOD;
	}
}

void upd(int l, int r, int v = 1, int tl = k + 1, int tr = n){
	push(v, tl, tr);
	if(tl > r || tr < l) return;
	if(l <= tl && tr <= r) pre(v);
	else{
		int mid = (tl + tr) >> 1;
		upd(l, r, v<<1, tl, mid);
		upd(l, r, v<<1|1, mid+1, tr);
		d[0][v] = (d[0][v<<1] + d[0][v<<1|1]) % MOD;
		d[1][v] = (d[1][v<<1] + d[1][v<<1|1]) % MOD;
	}
}

void init(int N, int M, std::vector<int> P, std::vector<int> A){
	n = N + M; k = N;
	for(int i = 1; i <= n; i++){
		p[i] = P[i-1]; p[i]++;
		g[p[i]].push_back(i);
		dp[i] = 1;
	}
	for(int v = n; v > 0; v--){
		sum[v] = 1;
		for(int to: g[v]){
			sum[v] = sum[v] * sum[to] % MOD;
		}
		if(v <= k) sum[v] = sum[v] * (ll)g[v].size() % MOD;
	}
	for(int i = k + 1; i <= n; i++){
		a[i] = A[i - k - 1];
	}
	for(int v = 1; v <= k; v++){
		ll d = 1;
		for(int to: g[v]){
			dp[to] = dp[v];
			dp[to] = dp[to] * d % MOD;
			d = d * sum[to] % MOD;
		}
		d = 1;
		reverse(g[v].begin(), g[v].end());
		for(int to: g[v]){
			dp[to] = dp[to] * d % MOD;
			d = d * sum[to] % MOD;
		}
	}
	build();
}

int count_ways(int L, int R){
	upd(L + 1, R + 1);
	return d[1][1];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 1 ms 12632 KB Output is correct
3 Correct 2 ms 12632 KB Output is correct
4 Correct 2 ms 10584 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10584 KB Output is correct
7 Correct 2 ms 10584 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 2 ms 12756 KB Output is correct
3 Correct 2 ms 10584 KB Output is correct
4 Correct 2 ms 12632 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10672 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct
9 Correct 3 ms 12632 KB Output is correct
10 Correct 2 ms 12632 KB Output is correct
11 Correct 2 ms 10584 KB Output is correct
12 Correct 2 ms 10584 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 1 ms 12632 KB Output is correct
3 Correct 2 ms 12632 KB Output is correct
4 Correct 2 ms 10584 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10584 KB Output is correct
7 Correct 2 ms 10584 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct
9 Correct 2 ms 10584 KB Output is correct
10 Correct 2 ms 12756 KB Output is correct
11 Correct 2 ms 10584 KB Output is correct
12 Correct 2 ms 12632 KB Output is correct
13 Correct 2 ms 10584 KB Output is correct
14 Correct 2 ms 10672 KB Output is correct
15 Correct 2 ms 12632 KB Output is correct
16 Correct 2 ms 12632 KB Output is correct
17 Correct 3 ms 12632 KB Output is correct
18 Correct 2 ms 12632 KB Output is correct
19 Correct 2 ms 10584 KB Output is correct
20 Correct 2 ms 10584 KB Output is correct
21 Correct 2 ms 10584 KB Output is correct
22 Correct 2 ms 12632 KB Output is correct
23 Correct 2 ms 12632 KB Output is correct
24 Correct 2 ms 12632 KB Output is correct
25 Correct 2 ms 10584 KB Output is correct
26 Correct 2 ms 10584 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 3 ms 12632 KB Output is correct
29 Correct 2 ms 12632 KB Output is correct
30 Correct 2 ms 12632 KB Output is correct
31 Correct 2 ms 12632 KB Output is correct
32 Correct 2 ms 10584 KB Output is correct
33 Correct 2 ms 10584 KB Output is correct
34 Correct 2 ms 10584 KB Output is correct
35 Correct 2 ms 10584 KB Output is correct
36 Correct 2 ms 10584 KB Output is correct
37 Correct 3 ms 10584 KB Output is correct
38 Correct 2 ms 12632 KB Output is correct
39 Correct 2 ms 12632 KB Output is correct
40 Correct 3 ms 12632 KB Output is correct
41 Correct 2 ms 12632 KB Output is correct
42 Correct 2 ms 10660 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 465 ms 15184 KB Output is correct
2 Correct 614 ms 22616 KB Output is correct
3 Correct 676 ms 20560 KB Output is correct
4 Correct 655 ms 19032 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 465 ms 15184 KB Output is correct
2 Correct 614 ms 22616 KB Output is correct
3 Correct 676 ms 20560 KB Output is correct
4 Correct 655 ms 19032 KB Output is correct
5 Correct 552 ms 16728 KB Output is correct
6 Correct 728 ms 22616 KB Output is correct
7 Correct 721 ms 22616 KB Output is correct
8 Correct 649 ms 21080 KB Output is correct
9 Correct 386 ms 10840 KB Output is correct
10 Correct 669 ms 11096 KB Output is correct
11 Correct 615 ms 12888 KB Output is correct
12 Correct 560 ms 10840 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 2 ms 12756 KB Output is correct
3 Correct 2 ms 10584 KB Output is correct
4 Correct 2 ms 12632 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10672 KB Output is correct
7 Correct 2 ms 12632 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct
9 Correct 3 ms 12632 KB Output is correct
10 Correct 2 ms 12632 KB Output is correct
11 Correct 2 ms 10584 KB Output is correct
12 Correct 2 ms 10584 KB Output is correct
13 Correct 465 ms 15184 KB Output is correct
14 Correct 614 ms 22616 KB Output is correct
15 Correct 676 ms 20560 KB Output is correct
16 Correct 655 ms 19032 KB Output is correct
17 Correct 552 ms 16728 KB Output is correct
18 Correct 728 ms 22616 KB Output is correct
19 Correct 721 ms 22616 KB Output is correct
20 Correct 649 ms 21080 KB Output is correct
21 Correct 386 ms 10840 KB Output is correct
22 Correct 669 ms 11096 KB Output is correct
23 Correct 615 ms 12888 KB Output is correct
24 Correct 560 ms 10840 KB Output is correct
25 Correct 674 ms 25056 KB Output is correct
26 Correct 732 ms 25036 KB Output is correct
27 Correct 696 ms 25700 KB Output is correct
28 Correct 497 ms 25688 KB Output is correct
29 Correct 691 ms 25148 KB Output is correct
30 Correct 672 ms 25688 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 1 ms 12632 KB Output is correct
3 Correct 2 ms 12632 KB Output is correct
4 Correct 2 ms 10584 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10584 KB Output is correct
7 Correct 2 ms 10584 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct
9 Correct 2 ms 10584 KB Output is correct
10 Correct 2 ms 12756 KB Output is correct
11 Correct 2 ms 10584 KB Output is correct
12 Correct 2 ms 12632 KB Output is correct
13 Correct 2 ms 10584 KB Output is correct
14 Correct 2 ms 10672 KB Output is correct
15 Correct 2 ms 12632 KB Output is correct
16 Correct 2 ms 12632 KB Output is correct
17 Correct 3 ms 12632 KB Output is correct
18 Correct 2 ms 12632 KB Output is correct
19 Correct 2 ms 10584 KB Output is correct
20 Correct 2 ms 10584 KB Output is correct
21 Correct 2 ms 10584 KB Output is correct
22 Correct 2 ms 12632 KB Output is correct
23 Correct 2 ms 12632 KB Output is correct
24 Correct 2 ms 12632 KB Output is correct
25 Correct 2 ms 10584 KB Output is correct
26 Correct 2 ms 10584 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 3 ms 12632 KB Output is correct
29 Correct 2 ms 12632 KB Output is correct
30 Correct 2 ms 12632 KB Output is correct
31 Correct 2 ms 12632 KB Output is correct
32 Correct 2 ms 10584 KB Output is correct
33 Correct 2 ms 10584 KB Output is correct
34 Correct 2 ms 10584 KB Output is correct
35 Correct 2 ms 10584 KB Output is correct
36 Correct 2 ms 10584 KB Output is correct
37 Correct 3 ms 10584 KB Output is correct
38 Correct 2 ms 12632 KB Output is correct
39 Correct 2 ms 12632 KB Output is correct
40 Correct 3 ms 12632 KB Output is correct
41 Correct 2 ms 12632 KB Output is correct
42 Correct 2 ms 10660 KB Output is correct
43 Correct 467 ms 10840 KB Output is correct
44 Correct 699 ms 12888 KB Output is correct
45 Correct 583 ms 12888 KB Output is correct
46 Correct 584 ms 11096 KB Output is correct
47 Correct 621 ms 11352 KB Output is correct
48 Correct 616 ms 11096 KB Output is correct
49 Correct 563 ms 11096 KB Output is correct
50 Correct 644 ms 12888 KB Output is correct
51 Correct 606 ms 10840 KB Output is correct
52 Correct 557 ms 10840 KB Output is correct
53 Correct 490 ms 13140 KB Output is correct
54 Correct 613 ms 11096 KB Output is correct
55 Correct 578 ms 11144 KB Output is correct
56 Correct 586 ms 12888 KB Output is correct
57 Correct 606 ms 12888 KB Output is correct
58 Correct 608 ms 11096 KB Output is correct
59 Correct 615 ms 13208 KB Output is correct
60 Correct 625 ms 13164 KB Output is correct
61 Correct 616 ms 12888 KB Output is correct
62 Correct 554 ms 12888 KB Output is correct
63 Correct 622 ms 10840 KB Output is correct
64 Correct 624 ms 12888 KB Output is correct
65 Correct 290 ms 10840 KB Output is correct
66 Correct 607 ms 11096 KB Output is correct
67 Correct 566 ms 12888 KB Output is correct
68 Correct 558 ms 10840 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10584 KB Output is correct
2 Correct 1 ms 12632 KB Output is correct
3 Correct 2 ms 12632 KB Output is correct
4 Correct 2 ms 10584 KB Output is correct
5 Correct 2 ms 10584 KB Output is correct
6 Correct 2 ms 10584 KB Output is correct
7 Correct 2 ms 10584 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct
9 Correct 2 ms 10584 KB Output is correct
10 Correct 2 ms 12756 KB Output is correct
11 Correct 2 ms 10584 KB Output is correct
12 Correct 2 ms 12632 KB Output is correct
13 Correct 2 ms 10584 KB Output is correct
14 Correct 2 ms 10672 KB Output is correct
15 Correct 2 ms 12632 KB Output is correct
16 Correct 2 ms 12632 KB Output is correct
17 Correct 3 ms 12632 KB Output is correct
18 Correct 2 ms 12632 KB Output is correct
19 Correct 2 ms 10584 KB Output is correct
20 Correct 2 ms 10584 KB Output is correct
21 Correct 2 ms 10584 KB Output is correct
22 Correct 2 ms 12632 KB Output is correct
23 Correct 2 ms 12632 KB Output is correct
24 Correct 2 ms 12632 KB Output is correct
25 Correct 2 ms 10584 KB Output is correct
26 Correct 2 ms 10584 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 3 ms 12632 KB Output is correct
29 Correct 2 ms 12632 KB Output is correct
30 Correct 2 ms 12632 KB Output is correct
31 Correct 2 ms 12632 KB Output is correct
32 Correct 2 ms 10584 KB Output is correct
33 Correct 2 ms 10584 KB Output is correct
34 Correct 2 ms 10584 KB Output is correct
35 Correct 2 ms 10584 KB Output is correct
36 Correct 2 ms 10584 KB Output is correct
37 Correct 3 ms 10584 KB Output is correct
38 Correct 2 ms 12632 KB Output is correct
39 Correct 2 ms 12632 KB Output is correct
40 Correct 3 ms 12632 KB Output is correct
41 Correct 2 ms 12632 KB Output is correct
42 Correct 2 ms 10660 KB Output is correct
43 Correct 465 ms 15184 KB Output is correct
44 Correct 614 ms 22616 KB Output is correct
45 Correct 676 ms 20560 KB Output is correct
46 Correct 655 ms 19032 KB Output is correct
47 Correct 552 ms 16728 KB Output is correct
48 Correct 728 ms 22616 KB Output is correct
49 Correct 721 ms 22616 KB Output is correct
50 Correct 649 ms 21080 KB Output is correct
51 Correct 386 ms 10840 KB Output is correct
52 Correct 669 ms 11096 KB Output is correct
53 Correct 615 ms 12888 KB Output is correct
54 Correct 560 ms 10840 KB Output is correct
55 Correct 674 ms 25056 KB Output is correct
56 Correct 732 ms 25036 KB Output is correct
57 Correct 696 ms 25700 KB Output is correct
58 Correct 497 ms 25688 KB Output is correct
59 Correct 691 ms 25148 KB Output is correct
60 Correct 672 ms 25688 KB Output is correct
61 Correct 467 ms 10840 KB Output is correct
62 Correct 699 ms 12888 KB Output is correct
63 Correct 583 ms 12888 KB Output is correct
64 Correct 584 ms 11096 KB Output is correct
65 Correct 621 ms 11352 KB Output is correct
66 Correct 616 ms 11096 KB Output is correct
67 Correct 563 ms 11096 KB Output is correct
68 Correct 644 ms 12888 KB Output is correct
69 Correct 606 ms 10840 KB Output is correct
70 Correct 557 ms 10840 KB Output is correct
71 Correct 490 ms 13140 KB Output is correct
72 Correct 613 ms 11096 KB Output is correct
73 Correct 578 ms 11144 KB Output is correct
74 Correct 586 ms 12888 KB Output is correct
75 Correct 606 ms 12888 KB Output is correct
76 Correct 608 ms 11096 KB Output is correct
77 Correct 615 ms 13208 KB Output is correct
78 Correct 625 ms 13164 KB Output is correct
79 Correct 616 ms 12888 KB Output is correct
80 Correct 554 ms 12888 KB Output is correct
81 Correct 622 ms 10840 KB Output is correct
82 Correct 624 ms 12888 KB Output is correct
83 Correct 290 ms 10840 KB Output is correct
84 Correct 607 ms 11096 KB Output is correct
85 Correct 566 ms 12888 KB Output is correct
86 Correct 558 ms 10840 KB Output is correct
87 Correct 1 ms 12632 KB Output is correct
88 Correct 387 ms 25308 KB Output is correct
89 Correct 584 ms 22872 KB Output is correct
90 Correct 642 ms 22616 KB Output is correct
91 Correct 633 ms 25144 KB Output is correct
92 Correct 734 ms 25152 KB Output is correct
93 Correct 706 ms 25272 KB Output is correct
94 Correct 616 ms 25144 KB Output is correct
95 Correct 631 ms 25804 KB Output is correct
96 Correct 544 ms 21884 KB Output is correct
97 Correct 692 ms 21776 KB Output is correct
98 Correct 589 ms 16728 KB Output is correct
99 Correct 701 ms 25144 KB Output is correct
100 Correct 673 ms 23084 KB Output is correct
101 Correct 652 ms 23296 KB Output is correct
102 Correct 650 ms 22400 KB Output is correct
103 Correct 738 ms 25036 KB Output is correct
104 Correct 706 ms 26212 KB Output is correct
105 Correct 658 ms 25556 KB Output is correct
106 Correct 704 ms 22608 KB Output is correct
107 Correct 625 ms 23132 KB Output is correct
108 Correct 679 ms 22900 KB Output is correct
109 Correct 671 ms 22488 KB Output is correct