oj.uz

Submission #683212

# Submission time Handle Problem Language Result Execution time Memory
683212 2023-01-17T23:21:48 Z NK_ Crossing (JOI21_crossing) C++17
100 / 100
 502 ms 27536 KB 
#include <bits/stdc++.h>

using namespace std;

#define nl '\n'
using ll = long long;
using str = string;

const int MOD = 1e9 + 7;

struct Seg {
	const ll ID = 0; 
	vector<ll> pw, P;
	vector<ll> seg, lz, LX, RX; int N, B; ll cmb(int a, int b) {
		int len = RX[a] - LX[a] + 1;
		return (seg[a] + (pw[__lg(len)] * seg[b])) % MOD;
	};

	void init(int n, int b) {
		N = 1; while(N < n) N *= 2;
		B = b;
		seg.assign(2*N, ID), lz.assign(2*N, ID);
		LX.assign(2*N, -1), RX.assign(2*N, -1);

		pw = {B}; for(int i = 1; i <= __lg(N); i++) pw.push_back((pw.back() * 1LL * pw.back()) % MOD);
		P = {1}; for(int i = 1; i <= __lg(N); i++) P.push_back(((P.back() * pw[i - 1]) + P.back()) % MOD);

		build(1, 0, N-1);
	}

	void pull(int x) { seg[x] = cmb(2*x, 2*x+1); }

	void push(int x, int L, int R) {
		if (lz[x] == ID) return;
		seg[x] = (P[__lg(R-L+1)] * lz[x]) % MOD;
		// cerr << x << " " << L << " " << R << " => " << seg[x] << nl;
		if (L != R) for(int i = 0; i < 2; i++) lz[2*x+i] = lz[x];
		lz[x] = ID;
	}

	void build(int x, int L, int R) {
		LX[x] = L, RX[x] = R;
		if (L == R) return;
		int M = (L+R)/2; build(2*x, L, M);
		build(2*x+1, M+1, R);
	}

	void upd(int l, int r, int v, int x, int L, int R) {
		push(x, L, R); if (r < L || R < l) return;
		if (l <= L && R <= r) { lz[x] = v; push(x, L, R); return; }
		int M = (L+R)/2; upd(l, r, v, 2*x, L, M);
		upd(l, r, v, 2*x+1, M+1, R); pull(x);
	}

	ll get() { return seg[1]; }

	void upd(int l, int r, int v) { upd(l, r, v, 1, 0, N-1); }
};

const ll BASE = 1009;
int main() {
	cin.tie(0)->sync_with_stdio(0);

	unordered_map<char, int> TO; TO['J'] = 1; TO['O'] = 2; TO['I'] = 3;

	
	int N; cin >> N;
	vector<str> A(3); for(auto &x : A) cin >> x;

	str R;
	auto comb = [&](const str &S, const str &T) {
		R = "";
		for(int i = 0; i < int(size(S)); i++) {
			if (S[i] == T[i]) R += S[i];
			else R += char('J' + 'O' + 'I' - S[i] - T[i]);
		}
		return R;
	};

	for(int _ = 0; _ < 2; _++) {
		vector<str> add; 
		for(int i = 0; i < int(size(A)); i++) for(int j = i+1; j < int(size(A)); j++) {
			add.push_back(comb(A[i], A[j]));
		}
		for(const auto &x : add) A.push_back(x);
		sort(begin(A), end(A));
		A.erase(unique(begin(A), end(A)), end(A));
	}
	
	vector<ll> HSH;
	auto HASH = [&](const str& S) {
		ll b = 1, H = 0;
		for(auto c : S) {
			H = (H + (b * TO[c])) % MOD;
			b = (b * BASE) % MOD;
		}
		return H;
	};

	for(const str& x : A) HSH.push_back(HASH(x));

	auto check = [&](const ll &x) -> bool {
		for(const auto &v : HSH) if (v == x) return 1;
		return 0;
	};

	Seg st; st.init(N, BASE);

	int Q; cin >> Q;
	str T; cin >> T;
	for(int i = 0; i < N; i++) st.upd(i, i, TO[T[i]]);
	
	cout << (check(st.get()) ? "Yes" : "No") << nl;
	for(int q = 0; q < Q; q++) {
		int l, r; char c; cin >> l >> r >> c; --l, --r;
		st.upd(l, r, TO[c]);
		cout << (check(st.get()) ? "Yes" : "No") << nl;
	}



    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 2236 KB Output is correct
2 Correct 124 ms 2448 KB Output is correct
3 Correct 97 ms 2276 KB Output is correct
4 Correct 93 ms 2244 KB Output is correct
5 Correct 67 ms 2232 KB Output is correct
6 Correct 82 ms 2224 KB Output is correct
7 Correct 79 ms 2380 KB Output is correct
8 Correct 71 ms 2332 KB Output is correct
9 Correct 71 ms 2388 KB Output is correct
10 Correct 76 ms 2416 KB Output is correct
11 Correct 78 ms 2384 KB Output is correct
12 Correct 72 ms 2432 KB Output is correct
13 Correct 71 ms 2380 KB Output is correct
14 Correct 117 ms 2424 KB Output is correct
15 Correct 82 ms 2404 KB Output is correct
16 Correct 71 ms 2380 KB Output is correct
17 Correct 92 ms 2480 KB Output is correct
18 Correct 88 ms 2332 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 2236 KB Output is correct
2 Correct 124 ms 2448 KB Output is correct
3 Correct 97 ms 2276 KB Output is correct
4 Correct 93 ms 2244 KB Output is correct
5 Correct 67 ms 2232 KB Output is correct
6 Correct 82 ms 2224 KB Output is correct
7 Correct 79 ms 2380 KB Output is correct
8 Correct 71 ms 2332 KB Output is correct
9 Correct 71 ms 2388 KB Output is correct
10 Correct 76 ms 2416 KB Output is correct
11 Correct 78 ms 2384 KB Output is correct
12 Correct 72 ms 2432 KB Output is correct
13 Correct 71 ms 2380 KB Output is correct
14 Correct 117 ms 2424 KB Output is correct
15 Correct 82 ms 2404 KB Output is correct
16 Correct 71 ms 2380 KB Output is correct
17 Correct 92 ms 2480 KB Output is correct
18 Correct 88 ms 2332 KB Output is correct
19 Correct 368 ms 21900 KB Output is correct
20 Correct 352 ms 21648 KB Output is correct
21 Correct 264 ms 21588 KB Output is correct
22 Correct 253 ms 21376 KB Output is correct
23 Correct 122 ms 4412 KB Output is correct
24 Correct 122 ms 4308 KB Output is correct
25 Correct 289 ms 21812 KB Output is correct
26 Correct 376 ms 21860 KB Output is correct
27 Correct 323 ms 21892 KB Output is correct
28 Correct 330 ms 21752 KB Output is correct
29 Correct 336 ms 21800 KB Output is correct
30 Correct 167 ms 4420 KB Output is correct
31 Correct 296 ms 21836 KB Output is correct
32 Correct 297 ms 21672 KB Output is correct
33 Correct 139 ms 4396 KB Output is correct
34 Correct 339 ms 21808 KB Output is correct
35 Correct 262 ms 21096 KB Output is correct
36 Correct 147 ms 4376 KB Output is correct
37 Correct 116 ms 4392 KB Output is correct
38 Correct 320 ms 21624 KB Output is correct
39 Correct 216 ms 21896 KB Output is correct
40 Correct 212 ms 13100 KB Output is correct
41 Correct 502 ms 21948 KB Output is correct
42 Correct 156 ms 21272 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 2236 KB Output is correct
2 Correct 124 ms 2448 KB Output is correct
3 Correct 97 ms 2276 KB Output is correct
4 Correct 93 ms 2244 KB Output is correct
5 Correct 67 ms 2232 KB Output is correct
6 Correct 82 ms 2224 KB Output is correct
7 Correct 79 ms 2380 KB Output is correct
8 Correct 71 ms 2332 KB Output is correct
9 Correct 71 ms 2388 KB Output is correct
10 Correct 76 ms 2416 KB Output is correct
11 Correct 78 ms 2384 KB Output is correct
12 Correct 72 ms 2432 KB Output is correct
13 Correct 71 ms 2380 KB Output is correct
14 Correct 117 ms 2424 KB Output is correct
15 Correct 82 ms 2404 KB Output is correct
16 Correct 71 ms 2380 KB Output is correct
17 Correct 92 ms 2480 KB Output is correct
18 Correct 88 ms 2332 KB Output is correct
19 Correct 89 ms 2248 KB Output is correct
20 Correct 86 ms 2228 KB Output is correct
21 Correct 92 ms 2404 KB Output is correct
22 Correct 66 ms 2260 KB Output is correct
23 Correct 91 ms 2372 KB Output is correct
24 Correct 114 ms 2296 KB Output is correct
25 Correct 70 ms 2428 KB Output is correct
26 Correct 68 ms 2256 KB Output is correct
27 Correct 123 ms 2396 KB Output is correct
28 Correct 69 ms 2172 KB Output is correct
29 Correct 93 ms 2444 KB Output is correct
30 Correct 72 ms 2260 KB Output is correct
31 Correct 153 ms 2452 KB Output is correct
32 Correct 70 ms 2376 KB Output is correct
33 Correct 76 ms 2452 KB Output is correct
34 Correct 69 ms 2424 KB Output is correct
35 Correct 98 ms 2416 KB Output is correct
36 Correct 78 ms 2380 KB Output is correct
37 Correct 74 ms 2440 KB Output is correct
38 Correct 79 ms 2344 KB Output is correct
39 Correct 87 ms 2392 KB Output is correct
40 Correct 92 ms 2448 KB Output is correct
41 Correct 72 ms 2372 KB Output is correct
42 Correct 74 ms 2352 KB Output is correct
43 Correct 89 ms 2364 KB Output is correct
44 Correct 81 ms 2340 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 2236 KB Output is correct
2 Correct 124 ms 2448 KB Output is correct
3 Correct 97 ms 2276 KB Output is correct
4 Correct 93 ms 2244 KB Output is correct
5 Correct 67 ms 2232 KB Output is correct
6 Correct 82 ms 2224 KB Output is correct
7 Correct 79 ms 2380 KB Output is correct
8 Correct 71 ms 2332 KB Output is correct
9 Correct 71 ms 2388 KB Output is correct
10 Correct 76 ms 2416 KB Output is correct
11 Correct 78 ms 2384 KB Output is correct
12 Correct 72 ms 2432 KB Output is correct
13 Correct 71 ms 2380 KB Output is correct
14 Correct 117 ms 2424 KB Output is correct
15 Correct 82 ms 2404 KB Output is correct
16 Correct 71 ms 2380 KB Output is correct
17 Correct 92 ms 2480 KB Output is correct
18 Correct 88 ms 2332 KB Output is correct
19 Correct 368 ms 21900 KB Output is correct
20 Correct 352 ms 21648 KB Output is correct
21 Correct 264 ms 21588 KB Output is correct
22 Correct 253 ms 21376 KB Output is correct
23 Correct 122 ms 4412 KB Output is correct
24 Correct 122 ms 4308 KB Output is correct
25 Correct 289 ms 21812 KB Output is correct
26 Correct 376 ms 21860 KB Output is correct
27 Correct 323 ms 21892 KB Output is correct
28 Correct 330 ms 21752 KB Output is correct
29 Correct 336 ms 21800 KB Output is correct
30 Correct 167 ms 4420 KB Output is correct
31 Correct 296 ms 21836 KB Output is correct
32 Correct 297 ms 21672 KB Output is correct
33 Correct 139 ms 4396 KB Output is correct
34 Correct 339 ms 21808 KB Output is correct
35 Correct 262 ms 21096 KB Output is correct
36 Correct 147 ms 4376 KB Output is correct
37 Correct 116 ms 4392 KB Output is correct
38 Correct 320 ms 21624 KB Output is correct
39 Correct 216 ms 21896 KB Output is correct
40 Correct 212 ms 13100 KB Output is correct
41 Correct 502 ms 21948 KB Output is correct
42 Correct 156 ms 21272 KB Output is correct
43 Correct 89 ms 2248 KB Output is correct
44 Correct 86 ms 2228 KB Output is correct
45 Correct 92 ms 2404 KB Output is correct
46 Correct 66 ms 2260 KB Output is correct
47 Correct 91 ms 2372 KB Output is correct
48 Correct 114 ms 2296 KB Output is correct
49 Correct 70 ms 2428 KB Output is correct
50 Correct 68 ms 2256 KB Output is correct
51 Correct 123 ms 2396 KB Output is correct
52 Correct 69 ms 2172 KB Output is correct
53 Correct 93 ms 2444 KB Output is correct
54 Correct 72 ms 2260 KB Output is correct
55 Correct 153 ms 2452 KB Output is correct
56 Correct 70 ms 2376 KB Output is correct
57 Correct 76 ms 2452 KB Output is correct
58 Correct 69 ms 2424 KB Output is correct
59 Correct 98 ms 2416 KB Output is correct
60 Correct 78 ms 2380 KB Output is correct
61 Correct 74 ms 2440 KB Output is correct
62 Correct 79 ms 2344 KB Output is correct
63 Correct 87 ms 2392 KB Output is correct
64 Correct 92 ms 2448 KB Output is correct
65 Correct 72 ms 2372 KB Output is correct
66 Correct 74 ms 2352 KB Output is correct
67 Correct 89 ms 2364 KB Output is correct
68 Correct 81 ms 2340 KB Output is correct
69 Correct 341 ms 25056 KB Output is correct
70 Correct 418 ms 26836 KB Output is correct
71 Correct 124 ms 4396 KB Output is correct
72 Correct 121 ms 4428 KB Output is correct
73 Correct 132 ms 4424 KB Output is correct
74 Correct 263 ms 21976 KB Output is correct
75 Correct 116 ms 4380 KB Output is correct
76 Correct 340 ms 22152 KB Output is correct
77 Correct 250 ms 21656 KB Output is correct
78 Correct 114 ms 4428 KB Output is correct
79 Correct 118 ms 4316 KB Output is correct
80 Correct 261 ms 24796 KB Output is correct
81 Correct 120 ms 4676 KB Output is correct
82 Correct 328 ms 27484 KB Output is correct
83 Correct 358 ms 26796 KB Output is correct
84 Correct 125 ms 4624 KB Output is correct
85 Correct 122 ms 4576 KB Output is correct
86 Correct 302 ms 25508 KB Output is correct
87 Correct 326 ms 26700 KB Output is correct
88 Correct 124 ms 4700 KB Output is correct
89 Correct 307 ms 26360 KB Output is correct
90 Correct 337 ms 27228 KB Output is correct
91 Correct 134 ms 4576 KB Output is correct
92 Correct 271 ms 25724 KB Output is correct
93 Correct 144 ms 4684 KB Output is correct
94 Correct 145 ms 4592 KB Output is correct
95 Correct 116 ms 4708 KB Output is correct
96 Correct 269 ms 21600 KB Output is correct
97 Correct 212 ms 27116 KB Output is correct
98 Correct 245 ms 16444 KB Output is correct
99 Correct 445 ms 27536 KB Output is correct
100 Correct 200 ms 25860 KB Output is correct