oj.uz

Submission #1042919

# Submission time Handle Problem Language Result Execution time Memory
1042919 2024-08-03T14:43:00 Z Alihan_8 Digital Circuit (IOI22_circuit) C++17
100 / 100
 696 ms 48600 KB 
#include "circuit.h"

#include <vector>

#include <bits/stdc++.h>

using namespace std;

#define ar array
#define pb push_back
#define ln '\n'

const int Mod = 1000002022;

vector <int> a;

vector <vector<int>> adj;

vector <int> dp;

int n, m;

struct SegTree{
	vector <ar<int,2>> T;
	vector <int> lazy;
	
	int n;
	
	SegTree() {}
	
	void modify(int _n, vector <int> val, vector <int> state){
		n = _n;
		
		T.resize(n * 4 + 5);
		lazy.resize(n * 4 + 5);
		
		auto build = [&](auto build, int v, int l, int r) -> void{
			if ( l == r ){
				T[v][state[l]] = val[l];
				
				return;
			}
			
			int m = (l + r) / 2;
			
			build(build, v * 2, l, m);
			build(build, v * 2 + 1, m + 1, r);
			
			for ( auto j: {0, 1} ){
				T[v][j] = (T[v * 2][j] + T[v * 2 + 1][j]) % Mod;
			}
		};
		
		build(build, 1, 0, n - 1);
	}	
	
	void push(int v, int l, int r){
		if ( !lazy[v] ) return;
		
		if ( l != r ){
			lazy[v * 2] ^= lazy[v];
			lazy[v * 2 + 1] ^= lazy[v];
		}
		
		swap(T[v][1], T[v][0]);
		lazy[v] = 0;
	}
	
	void upd(int v, int l, int r, int tl, int tr){
		push(v, l, r);
		
		if ( l > tr or r < tl ) return;
		
		if ( tl <= l && tr >= r ){
			lazy[v] = 1;
			push(v, l, r);
			
			return;
		}
		
		int m = (l + r) / 2;
		
		upd(v * 2, l, m, tl, tr);
		upd(v * 2 + 1, m + 1, r, tl, tr);
		
		for ( auto j: {0, 1} ){
			T[v][j] = (T[v * 2][j] + T[v * 2 + 1][j]) % Mod;
		}
	}
	
	void upd(int l, int r){
		upd(1, 0, m - 1, l, r);
	}
	
	int qry(){ 
		push(1, 0, m - 1);
		
		return T[1][1]; 
	} 
};

template <class F, class S>
void add(F &x, const S &y){
	x = (x + 0LL + y) % Mod;
	
	if ( x < 0 ) x += Mod; 
}

SegTree seg;

void init(int N, int M, std::vector<int> P, std::vector<int> A) {
	a = A, n = N, m = M;
	
	adj.resize(n + m);
	
	for ( int i = 1; i < n + m; i++ ){
		adj[P[i]].pb(i);
	}
	
	vector <int> s(n + m);
	
	auto trav = [&](auto trav, int u) -> void{
		if ( u >= n ){
			s[u] = 1; return;
		}
		
		s[u] = adj[u].size();
		
		for ( auto &v: adj[u] ){
			trav(trav, v);
			
			s[u] = s[u] * 1LL * s[v] % Mod;
		}
	};
	
	trav(trav, 0);
	
	dp.resize(m);
	
	auto dfs = [&](auto dfs, int u, int cnt) -> void{
		if ( u >= n ){
			dp[u - n] = cnt;
			
			return;
		}
		
		int sz = adj[u].size();
		
		vector <int> child, vl;
		
		for ( auto &v: adj[u] ){
			child.pb(v); vl.pb(s[v]);
		}
		
		vector <int> pf(sz + 1, 1), sf(sz + 2, 1);
		
		for ( int i = 0; i < sz; i++ ){
			pf[i + 1] = pf[i] * 1LL * vl[i] % Mod;
		}
		
		for ( int i = sz; i > 0; i-- ){
			sf[i] = sf[i + 1] * 1LL * vl[i - 1] % Mod;
		}
		
		for ( int i = 0; i < sz; i++ ){
			int nxt = cnt * 1LL * pf[i] % Mod * sf[i + 2] % Mod;
			
			dfs(dfs, child[i], nxt);
		}
	};
	
	dfs(dfs, 0, 1);
	
	seg.modify(m, dp, a);
}

int count_ways(int L, int R) {
	L -= n, R -= n;
	
	seg.upd(L, R);
	
	return seg.qry();
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 356 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 1 ms 344 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 356 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 600 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 0 ms 600 KB Output is correct
28 Correct 0 ms 600 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 1 ms 856 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 1 ms 856 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 345 ms 6112 KB Output is correct
2 Correct 573 ms 11600 KB Output is correct
3 Correct 564 ms 11608 KB Output is correct
4 Correct 542 ms 11608 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 345 ms 6112 KB Output is correct
2 Correct 573 ms 11600 KB Output is correct
3 Correct 564 ms 11608 KB Output is correct
4 Correct 542 ms 11608 KB Output is correct
5 Correct 479 ms 5976 KB Output is correct
6 Correct 576 ms 11608 KB Output is correct
7 Correct 561 ms 11600 KB Output is correct
8 Correct 535 ms 11608 KB Output is correct
9 Correct 288 ms 760 KB Output is correct
10 Correct 563 ms 1128 KB Output is correct
11 Correct 546 ms 1124 KB Output is correct
12 Correct 539 ms 1124 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 856 KB Output is correct
11 Correct 1 ms 856 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 345 ms 6112 KB Output is correct
14 Correct 573 ms 11600 KB Output is correct
15 Correct 564 ms 11608 KB Output is correct
16 Correct 542 ms 11608 KB Output is correct
17 Correct 479 ms 5976 KB Output is correct
18 Correct 576 ms 11608 KB Output is correct
19 Correct 561 ms 11600 KB Output is correct
20 Correct 535 ms 11608 KB Output is correct
21 Correct 288 ms 760 KB Output is correct
22 Correct 563 ms 1128 KB Output is correct
23 Correct 546 ms 1124 KB Output is correct
24 Correct 539 ms 1124 KB Output is correct
25 Correct 633 ms 17208 KB Output is correct
26 Correct 625 ms 17488 KB Output is correct
27 Correct 657 ms 17488 KB Output is correct
28 Correct 521 ms 17600 KB Output is correct
29 Correct 681 ms 46412 KB Output is correct
30 Correct 632 ms 46568 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 356 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 600 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 0 ms 600 KB Output is correct
28 Correct 0 ms 600 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 1 ms 856 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 1 ms 856 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 428 ms 912 KB Output is correct
44 Correct 558 ms 960 KB Output is correct
45 Correct 555 ms 960 KB Output is correct
46 Correct 477 ms 1292 KB Output is correct
47 Correct 582 ms 1304 KB Output is correct
48 Correct 529 ms 1296 KB Output is correct
49 Correct 540 ms 1296 KB Output is correct
50 Correct 504 ms 1300 KB Output is correct
51 Correct 575 ms 856 KB Output is correct
52 Correct 570 ms 856 KB Output is correct
53 Correct 502 ms 2392 KB Output is correct
54 Correct 525 ms 1288 KB Output is correct
55 Correct 545 ms 1124 KB Output is correct
56 Correct 564 ms 1072 KB Output is correct
57 Correct 552 ms 992 KB Output is correct
58 Correct 552 ms 2648 KB Output is correct
59 Correct 560 ms 2648 KB Output is correct
60 Correct 540 ms 2648 KB Output is correct
61 Correct 573 ms 1316 KB Output is correct
62 Correct 538 ms 936 KB Output is correct
63 Correct 521 ms 912 KB Output is correct
64 Correct 592 ms 1108 KB Output is correct
65 Correct 279 ms 848 KB Output is correct
66 Correct 548 ms 1132 KB Output is correct
67 Correct 543 ms 1124 KB Output is correct
68 Correct 530 ms 1128 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 356 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 600 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 856 KB Output is correct
19 Correct 1 ms 856 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 0 ms 600 KB Output is correct
28 Correct 0 ms 600 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 0 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 1 ms 856 KB Output is correct
37 Correct 1 ms 856 KB Output is correct
38 Correct 1 ms 856 KB Output is correct
39 Correct 0 ms 344 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 345 ms 6112 KB Output is correct
44 Correct 573 ms 11600 KB Output is correct
45 Correct 564 ms 11608 KB Output is correct
46 Correct 542 ms 11608 KB Output is correct
47 Correct 479 ms 5976 KB Output is correct
48 Correct 576 ms 11608 KB Output is correct
49 Correct 561 ms 11600 KB Output is correct
50 Correct 535 ms 11608 KB Output is correct
51 Correct 288 ms 760 KB Output is correct
52 Correct 563 ms 1128 KB Output is correct
53 Correct 546 ms 1124 KB Output is correct
54 Correct 539 ms 1124 KB Output is correct
55 Correct 633 ms 17208 KB Output is correct
56 Correct 625 ms 17488 KB Output is correct
57 Correct 657 ms 17488 KB Output is correct
58 Correct 521 ms 17600 KB Output is correct
59 Correct 681 ms 46412 KB Output is correct
60 Correct 632 ms 46568 KB Output is correct
61 Correct 428 ms 912 KB Output is correct
62 Correct 558 ms 960 KB Output is correct
63 Correct 555 ms 960 KB Output is correct
64 Correct 477 ms 1292 KB Output is correct
65 Correct 582 ms 1304 KB Output is correct
66 Correct 529 ms 1296 KB Output is correct
67 Correct 540 ms 1296 KB Output is correct
68 Correct 504 ms 1300 KB Output is correct
69 Correct 575 ms 856 KB Output is correct
70 Correct 570 ms 856 KB Output is correct
71 Correct 502 ms 2392 KB Output is correct
72 Correct 525 ms 1288 KB Output is correct
73 Correct 545 ms 1124 KB Output is correct
74 Correct 564 ms 1072 KB Output is correct
75 Correct 552 ms 992 KB Output is correct
76 Correct 552 ms 2648 KB Output is correct
77 Correct 560 ms 2648 KB Output is correct
78 Correct 540 ms 2648 KB Output is correct
79 Correct 573 ms 1316 KB Output is correct
80 Correct 538 ms 936 KB Output is correct
81 Correct 521 ms 912 KB Output is correct
82 Correct 592 ms 1108 KB Output is correct
83 Correct 279 ms 848 KB Output is correct
84 Correct 548 ms 1132 KB Output is correct
85 Correct 543 ms 1124 KB Output is correct
86 Correct 530 ms 1128 KB Output is correct
87 Correct 0 ms 344 KB Output is correct
88 Correct 402 ms 15264 KB Output is correct
89 Correct 609 ms 10840 KB Output is correct
90 Correct 629 ms 10840 KB Output is correct
91 Correct 611 ms 17744 KB Output is correct
92 Correct 628 ms 17744 KB Output is correct
93 Correct 615 ms 17748 KB Output is correct
94 Correct 672 ms 17744 KB Output is correct
95 Correct 608 ms 17744 KB Output is correct
96 Correct 592 ms 11192 KB Output is correct
97 Correct 622 ms 11192 KB Output is correct
98 Correct 558 ms 41296 KB Output is correct
99 Correct 662 ms 17492 KB Output is correct
100 Correct 633 ms 14232 KB Output is correct
101 Correct 583 ms 13136 KB Output is correct
102 Correct 606 ms 11352 KB Output is correct
103 Correct 637 ms 46612 KB Output is correct
104 Correct 696 ms 48600 KB Output is correct
105 Correct 585 ms 48592 KB Output is correct
106 Correct 606 ms 14928 KB Output is correct
107 Correct 559 ms 10064 KB Output is correct
108 Correct 490 ms 10584 KB Output is correct
109 Correct 509 ms 11724 KB Output is correct