oj.uz

Submission #871875

# Submission time Handle Problem Language Result Execution time Memory
871875 2023-11-11T18:41:50 Z serifefedartar Crossing (JOI21_crossing) C++17
100 / 100
 298 ms 27476 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define fast ios::sync_with_stdio(0);cin.tie(0);
#define s second
#define f first
typedef long long ll;
const ll MOD = 1e9+9;
const ll LOGN = 20; 
const ll MAXN = 2e5 + 100;

const ll P = 29;
ll powP[2*MAXN];
ll inv;
struct Node {
	ll len, hash;
	Node() { }
	Node(ll _len, ll _hash) : len(_len), hash(_hash) { }
};

Node merge(Node A, Node B) {
	Node new_node;
	new_node.hash = (A.hash * powP[B.len] + B.hash) % MOD;
	new_node.len = A.len + B.len;
	return new_node;
}

set<ll> hashes;
vector<int> new_seq;
vector<int> cross(vector<int> A, vector<int> B) {
	int n = A.size();
	vector<int> q;
	for (int i = 0; i < n; i++)
		q.push_back((2 * (A[i] + B[i])) % 3);
	return q;
}

Node sg[4*MAXN];
ll lazy[4*MAXN];
ll expo(ll a, ll b) {
	ll res = 1;
	while (b) {
		if (b & 2)
			res = (res * a) % MOD;
		a = (a * a) % MOD;
		b /= 2;
	}
	return res;
}

void push(int k, int a, int b) {
	if (lazy[k] != -1) {
		int l = sg[k].len;
		sg[k].hash = (lazy[k] * (((powP[l] - 1) * inv) % MOD)) % MOD;
		if (a != b) {
			lazy[2*k] = lazy[k];
			lazy[2*k+1] = lazy[k];
		}
		lazy[k] = -1;
	}
}

void init(int k, int a, int b) {
	if (a == b) {
		sg[k].len = 1;
		sg[k].hash = new_seq[a-1] + 1;
		return ;
	}
	init(2*k, a, (a+b)/2);
	init(2*k+1, (a+b)/2+1, b);
	sg[k] = merge(sg[2*k], sg[2*k+1]);
}

void update(int k, int a, int b, int q_l, int q_r, int val) {
	push(k, a, b);
	if (b < q_l || a > q_r)
		return ;
	if (q_l <= a && b <= q_r) {
		lazy[k] = val;
		push(k, a, b);
		return ;
	}
	update(2*k, a, (a+b)/2, q_l, q_r, val);
	update(2*k+1, (a+b)/2+1, b, q_l, q_r, val);
	sg[k] = merge(sg[2*k], sg[2*k+1]);
}

int main() {
	fast
	inv = expo(P-1, MOD-2);
	powP[0] = 1;
	for (int i = 1; i < 2*MAXN; i++)
		powP[i] = (powP[i-1] * P) % MOD;
	memset(lazy, -1, sizeof(lazy));
	int N;
	cin >> N;

	vector<int> s[3];
	for (int seq = 0; seq < 3; seq++)
		for (int i = 0; i < N; i++) {
		char ch;
		cin >> ch;
		s[seq].push_back(ch == 'J' ? 0 : (ch == 'O' ? 1 : 2));
	}

	for (int i = 0; i < 3; i++) {
		for (int j = 0; j < 3; j++) {
			for (int k = 0; k < 3; k++) {
				if (i == j && j == k)
					continue;
				vector<int> c = cross(s[i], s[j]);
				c = cross(c, s[k]);

				ll hash = 0;
				for (int i = 0; i < N; i++)
					hash = (hash * P + (c[i] + 1)) % MOD;
				hashes.insert(hash);
			}
		}
	}

	int q;
	cin >> q;
	for (int i = 0; i < N; i++) {
		char ch;
		cin >> ch;
		new_seq.push_back(ch == 'J' ? 0 : (ch == 'O' ? 1 : 2));
	}
	init(1, 1, N);
	push(1, 1, N);

	if (hashes.count(sg[1].hash))
		cout << "Yes\n";
	else
		cout << "No\n";

	while (q--) {
		int l, r, val; char ch;
		cin >> l >> r >> ch;
		val = ch == 'J' ? 0 : (ch == 'O' ? 1 : 2);
		update(1, 1, N, l, r, val + 1);

		push(1, 1, N);
		if (hashes.count(sg[1].hash))
			cout << "Yes\n";
		else
			cout << "No\n";
	}
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 10580 KB Output is correct
2 Correct 66 ms 10576 KB Output is correct
3 Correct 72 ms 10564 KB Output is correct
4 Correct 60 ms 10576 KB Output is correct
5 Correct 59 ms 10560 KB Output is correct
6 Correct 56 ms 10576 KB Output is correct
7 Correct 70 ms 10652 KB Output is correct
8 Correct 66 ms 10580 KB Output is correct
9 Correct 61 ms 10580 KB Output is correct
10 Correct 59 ms 10580 KB Output is correct
11 Correct 60 ms 10424 KB Output is correct
12 Correct 65 ms 10704 KB Output is correct
13 Correct 64 ms 10580 KB Output is correct
14 Correct 62 ms 10564 KB Output is correct
15 Correct 61 ms 10580 KB Output is correct
16 Correct 61 ms 10612 KB Output is correct
17 Correct 64 ms 10648 KB Output is correct
18 Correct 64 ms 10572 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 10580 KB Output is correct
2 Correct 66 ms 10576 KB Output is correct
3 Correct 72 ms 10564 KB Output is correct
4 Correct 60 ms 10576 KB Output is correct
5 Correct 59 ms 10560 KB Output is correct
6 Correct 56 ms 10576 KB Output is correct
7 Correct 70 ms 10652 KB Output is correct
8 Correct 66 ms 10580 KB Output is correct
9 Correct 61 ms 10580 KB Output is correct
10 Correct 59 ms 10580 KB Output is correct
11 Correct 60 ms 10424 KB Output is correct
12 Correct 65 ms 10704 KB Output is correct
13 Correct 64 ms 10580 KB Output is correct
14 Correct 62 ms 10564 KB Output is correct
15 Correct 61 ms 10580 KB Output is correct
16 Correct 61 ms 10612 KB Output is correct
17 Correct 64 ms 10648 KB Output is correct
18 Correct 64 ms 10572 KB Output is correct
19 Correct 272 ms 23412 KB Output is correct
20 Correct 278 ms 23640 KB Output is correct
21 Correct 188 ms 23140 KB Output is correct
22 Correct 191 ms 22740 KB Output is correct
23 Correct 95 ms 13012 KB Output is correct
24 Correct 103 ms 13000 KB Output is correct
25 Correct 203 ms 23372 KB Output is correct
26 Correct 234 ms 23388 KB Output is correct
27 Correct 218 ms 23488 KB Output is correct
28 Correct 273 ms 23384 KB Output is correct
29 Correct 213 ms 23344 KB Output is correct
30 Correct 106 ms 13008 KB Output is correct
31 Correct 226 ms 23844 KB Output is correct
32 Correct 205 ms 22908 KB Output is correct
33 Correct 99 ms 12848 KB Output is correct
34 Correct 220 ms 23472 KB Output is correct
35 Correct 171 ms 22284 KB Output is correct
36 Correct 99 ms 13008 KB Output is correct
37 Correct 95 ms 12792 KB Output is correct
38 Correct 253 ms 23668 KB Output is correct
39 Correct 178 ms 23392 KB Output is correct
40 Correct 159 ms 17404 KB Output is correct
41 Correct 298 ms 23700 KB Output is correct
42 Correct 108 ms 23744 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 10580 KB Output is correct
2 Correct 66 ms 10576 KB Output is correct
3 Correct 72 ms 10564 KB Output is correct
4 Correct 60 ms 10576 KB Output is correct
5 Correct 59 ms 10560 KB Output is correct
6 Correct 56 ms 10576 KB Output is correct
7 Correct 70 ms 10652 KB Output is correct
8 Correct 66 ms 10580 KB Output is correct
9 Correct 61 ms 10580 KB Output is correct
10 Correct 59 ms 10580 KB Output is correct
11 Correct 60 ms 10424 KB Output is correct
12 Correct 65 ms 10704 KB Output is correct
13 Correct 64 ms 10580 KB Output is correct
14 Correct 62 ms 10564 KB Output is correct
15 Correct 61 ms 10580 KB Output is correct
16 Correct 61 ms 10612 KB Output is correct
17 Correct 64 ms 10648 KB Output is correct
18 Correct 64 ms 10572 KB Output is correct
19 Correct 73 ms 10544 KB Output is correct
20 Correct 80 ms 10656 KB Output is correct
21 Correct 63 ms 10576 KB Output is correct
22 Correct 53 ms 10544 KB Output is correct
23 Correct 64 ms 10584 KB Output is correct
24 Correct 58 ms 10580 KB Output is correct
25 Correct 67 ms 10600 KB Output is correct
26 Correct 57 ms 10580 KB Output is correct
27 Correct 59 ms 10472 KB Output is correct
28 Correct 55 ms 10412 KB Output is correct
29 Correct 66 ms 10576 KB Output is correct
30 Correct 57 ms 10832 KB Output is correct
31 Correct 61 ms 10576 KB Output is correct
32 Correct 61 ms 10580 KB Output is correct
33 Correct 64 ms 10548 KB Output is correct
34 Correct 57 ms 10576 KB Output is correct
35 Correct 62 ms 10576 KB Output is correct
36 Correct 64 ms 10432 KB Output is correct
37 Correct 63 ms 10580 KB Output is correct
38 Correct 63 ms 10576 KB Output is correct
39 Correct 63 ms 10580 KB Output is correct
40 Correct 63 ms 10592 KB Output is correct
41 Correct 62 ms 10576 KB Output is correct
42 Correct 63 ms 10580 KB Output is correct
43 Correct 67 ms 10440 KB Output is correct
44 Correct 69 ms 10632 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 10580 KB Output is correct
2 Correct 66 ms 10576 KB Output is correct
3 Correct 72 ms 10564 KB Output is correct
4 Correct 60 ms 10576 KB Output is correct
5 Correct 59 ms 10560 KB Output is correct
6 Correct 56 ms 10576 KB Output is correct
7 Correct 70 ms 10652 KB Output is correct
8 Correct 66 ms 10580 KB Output is correct
9 Correct 61 ms 10580 KB Output is correct
10 Correct 59 ms 10580 KB Output is correct
11 Correct 60 ms 10424 KB Output is correct
12 Correct 65 ms 10704 KB Output is correct
13 Correct 64 ms 10580 KB Output is correct
14 Correct 62 ms 10564 KB Output is correct
15 Correct 61 ms 10580 KB Output is correct
16 Correct 61 ms 10612 KB Output is correct
17 Correct 64 ms 10648 KB Output is correct
18 Correct 64 ms 10572 KB Output is correct
19 Correct 272 ms 23412 KB Output is correct
20 Correct 278 ms 23640 KB Output is correct
21 Correct 188 ms 23140 KB Output is correct
22 Correct 191 ms 22740 KB Output is correct
23 Correct 95 ms 13012 KB Output is correct
24 Correct 103 ms 13000 KB Output is correct
25 Correct 203 ms 23372 KB Output is correct
26 Correct 234 ms 23388 KB Output is correct
27 Correct 218 ms 23488 KB Output is correct
28 Correct 273 ms 23384 KB Output is correct
29 Correct 213 ms 23344 KB Output is correct
30 Correct 106 ms 13008 KB Output is correct
31 Correct 226 ms 23844 KB Output is correct
32 Correct 205 ms 22908 KB Output is correct
33 Correct 99 ms 12848 KB Output is correct
34 Correct 220 ms 23472 KB Output is correct
35 Correct 171 ms 22284 KB Output is correct
36 Correct 99 ms 13008 KB Output is correct
37 Correct 95 ms 12792 KB Output is correct
38 Correct 253 ms 23668 KB Output is correct
39 Correct 178 ms 23392 KB Output is correct
40 Correct 159 ms 17404 KB Output is correct
41 Correct 298 ms 23700 KB Output is correct
42 Correct 108 ms 23744 KB Output is correct
43 Correct 73 ms 10544 KB Output is correct
44 Correct 80 ms 10656 KB Output is correct
45 Correct 63 ms 10576 KB Output is correct
46 Correct 53 ms 10544 KB Output is correct
47 Correct 64 ms 10584 KB Output is correct
48 Correct 58 ms 10580 KB Output is correct
49 Correct 67 ms 10600 KB Output is correct
50 Correct 57 ms 10580 KB Output is correct
51 Correct 59 ms 10472 KB Output is correct
52 Correct 55 ms 10412 KB Output is correct
53 Correct 66 ms 10576 KB Output is correct
54 Correct 57 ms 10832 KB Output is correct
55 Correct 61 ms 10576 KB Output is correct
56 Correct 61 ms 10580 KB Output is correct
57 Correct 64 ms 10548 KB Output is correct
58 Correct 57 ms 10576 KB Output is correct
59 Correct 62 ms 10576 KB Output is correct
60 Correct 64 ms 10432 KB Output is correct
61 Correct 63 ms 10580 KB Output is correct
62 Correct 63 ms 10576 KB Output is correct
63 Correct 63 ms 10580 KB Output is correct
64 Correct 63 ms 10592 KB Output is correct
65 Correct 62 ms 10576 KB Output is correct
66 Correct 63 ms 10580 KB Output is correct
67 Correct 67 ms 10440 KB Output is correct
68 Correct 69 ms 10632 KB Output is correct
69 Correct 239 ms 22764 KB Output is correct
70 Correct 276 ms 23392 KB Output is correct
71 Correct 98 ms 12944 KB Output is correct
72 Correct 100 ms 12888 KB Output is correct
73 Correct 99 ms 12816 KB Output is correct
74 Correct 198 ms 22740 KB Output is correct
75 Correct 98 ms 12916 KB Output is correct
76 Correct 207 ms 23484 KB Output is correct
77 Correct 187 ms 26032 KB Output is correct
78 Correct 102 ms 15316 KB Output is correct
79 Correct 100 ms 15312 KB Output is correct
80 Correct 175 ms 25340 KB Output is correct
81 Correct 101 ms 15316 KB Output is correct
82 Correct 229 ms 27216 KB Output is correct
83 Correct 200 ms 26656 KB Output is correct
84 Correct 103 ms 15204 KB Output is correct
85 Correct 100 ms 15192 KB Output is correct
86 Correct 205 ms 25460 KB Output is correct
87 Correct 230 ms 27364 KB Output is correct
88 Correct 109 ms 15192 KB Output is correct
89 Correct 205 ms 26360 KB Output is correct
90 Correct 228 ms 27320 KB Output is correct
91 Correct 108 ms 15316 KB Output is correct
92 Correct 172 ms 25392 KB Output is correct
93 Correct 100 ms 15192 KB Output is correct
94 Correct 99 ms 15312 KB Output is correct
95 Correct 99 ms 15220 KB Output is correct
96 Correct 239 ms 27016 KB Output is correct
97 Correct 180 ms 27120 KB Output is correct
98 Correct 170 ms 20736 KB Output is correct
99 Correct 293 ms 27476 KB Output is correct
100 Correct 113 ms 26716 KB Output is correct