Submission #528753

# Submission time Handle Problem Language Result Execution time Memory
528753 2022-02-21T09:57:53 Z d2k05 Crossing (JOI21_crossing) C++14
100 / 100
949 ms 15176 KB
#include <bits/stdc++.h>

#define fastio ios_base :: sync_with_stdio(0), cin.tie(0);

using namespace std;
using ll = long long;

const int mxN = 2e5 + 5, mod = 1e9 + 7, p = 31;

int n, h[3][mxN];
string s[3];
int t[mxN * 4];
char Mod[mxN * 4];
string A;

int binpow(int a, int b) {
	int ans = 1;
	while (b) {
		if (b & 1)
			ans = ans * 1ll * a % mod;
		a = a * 1ll * a % mod;
		b >>= 1;
	}
	return ans;
}

void Build(int v = 1, int tl = 1, int tr = n) {
	Mod[v] = '#';
	if (tl == tr) {
		t[v] = A[tl - 1];
		return;
	}
	int tm = (tl + tr) / 2;
	Build(v * 2, tl, tm);
	Build(v * 2 + 1, tm + 1, tr);
	int sz = tr - tm;
	t[v] = (t[v * 2] * 1ll * binpow(p, sz) % mod + t[v * 2 + 1]) % mod;
}

void Push(int v, int tl, int tr) {
	if (Mod[v] != '#') {
		int i = 0;
		if (Mod[v] == 'O')
			i = 1;
		else if (Mod[v] == 'I') 
			i = 2;
		t[v] = h[i][tr - tl + 1];
		if (tl != tr)
			Mod[v * 2] = Mod[v * 2 + 1] = Mod[v];
		Mod[v] = '#';
	}
}

void Upd(int l, int r, char c, int v = 1, int tl = 1, int tr = n) {
	Push(v, tl, tr);
	if (l > tr || r < tl)
		return;
	if (l <= tl && tr <= r) {
		Mod[v] = c;
		Push(v, tl, tr);
		return;
	}
	int tm = (tl + tr) / 2;
	Upd(l, r, c, v * 2, tl, tm);
	Upd(l, r, c, v * 2 + 1, tm + 1, tr);
	int sz = tr - tm;
	t[v] = (t[v * 2] * 1ll * binpow(p, sz) % mod + t[v * 2 + 1]) % mod;
}

pair <int, int> Get(int l, int r, int v = 1, int tl = 1, int tr = n) {
	Push(v, tl, tr);
	if (l > tr || r < tl)
		return {0, 0};
	if (l <= tl && tr <= r) 
		return {t[v], tr - tl + 1};
	int tm = (tl + tr) / 2;
	auto at = Get(l, r, v * 2, tl, tm);
	int left = at.first, szz = at.second;
	at = Get(l, r, v * 2 + 1, tm + 1, tr);
	int right = at.first, sz = at.second;
	return {(left * 1ll * binpow(p, sz) % mod + right) % mod, szz + sz};
}

int calc(string st) {
	int ans = 0;
	for (int i = 0; i < st.size(); ++i) 
		ans = (ans * 1ll * p % mod + st[i]) % mod;
	return ans;
}

string merge(string a, string b) {
	string ret;
	char sy[3] = {'J', 'O', 'I'};
	for (int i = 0; i < a.size(); ++i) {
		if (a[i] == b[i])
			ret += a[i];
		else {
			for (int j = 0; j < 3; ++j) {
				if (sy[j] != a[i] && sy[j] != b[i])
					ret += sy[j];
			}
		}
	}
	return ret; 
}

int main() {
	fastio;
	cin >> n >> s[0] >> s[1] >> s[2];
	for (int i = 1; i <= n; ++i) {
		h[0][i] = (h[0][i - 1] * 1ll * p % mod + 'J') % mod;
		h[1][i] = (h[1][i - 1] * 1ll * p % mod + 'O') % mod;
		h[2][i] = (h[2][i - 1] * 1ll * p % mod + 'I') % mod;
	}
	set <int> st1;
	set <string> st2;
	for (int i = 0; i < 3; ++i) {
		st1.insert(calc(s[i]));
		st2.insert(s[i]);
	}
	while (true) {
		vector <string> v;
		for (auto x : st2) {
			for (auto y : st2) {
				string nw = merge(x, y);
				if (st2.find(nw) == st2.end()) 
					v.push_back(nw);
			}
		}
		if (v.empty())
			break;
		for (auto x : v)
			st2.insert(x), st1.insert(calc(x));
	} 
	int q;
	cin >> q;
	cin >> A;
	Build(); 
	if (st1.find(Get(1, n).first) != st1.end())
		cout << "Yes\n";
	else
		cout << "No\n";
	while (q--) {
		int l, r;
		cin >> l >> r;
		char c;
		cin >> c;
		Upd(l, r, c);
		if (st1.find(Get(1, n).first) != st1.end())
			cout << "Yes\n";
		else
			cout << "No\n";
	}
	return 0;
}

Compilation message

Main.cpp: In function 'int calc(std::string)':
Main.cpp:86:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |  for (int i = 0; i < st.size(); ++i)
      |                  ~~^~~~~~~~~~~
Main.cpp: In function 'std::string merge(std::string, std::string)':
Main.cpp:94:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 |  for (int i = 0; i < a.size(); ++i) {
      |                  ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 91 ms 2300 KB Output is correct
2 Correct 99 ms 2412 KB Output is correct
3 Correct 97 ms 2348 KB Output is correct
4 Correct 82 ms 2272 KB Output is correct
5 Correct 81 ms 2392 KB Output is correct
6 Correct 85 ms 2256 KB Output is correct
7 Correct 85 ms 2420 KB Output is correct
8 Correct 89 ms 2516 KB Output is correct
9 Correct 93 ms 2392 KB Output is correct
10 Correct 88 ms 2456 KB Output is correct
11 Correct 91 ms 2520 KB Output is correct
12 Correct 91 ms 2360 KB Output is correct
13 Correct 87 ms 2444 KB Output is correct
14 Correct 97 ms 2372 KB Output is correct
15 Correct 87 ms 2416 KB Output is correct
16 Correct 86 ms 2384 KB Output is correct
17 Correct 86 ms 2404 KB Output is correct
18 Correct 88 ms 2372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 91 ms 2300 KB Output is correct
2 Correct 99 ms 2412 KB Output is correct
3 Correct 97 ms 2348 KB Output is correct
4 Correct 82 ms 2272 KB Output is correct
5 Correct 81 ms 2392 KB Output is correct
6 Correct 85 ms 2256 KB Output is correct
7 Correct 85 ms 2420 KB Output is correct
8 Correct 89 ms 2516 KB Output is correct
9 Correct 93 ms 2392 KB Output is correct
10 Correct 88 ms 2456 KB Output is correct
11 Correct 91 ms 2520 KB Output is correct
12 Correct 91 ms 2360 KB Output is correct
13 Correct 87 ms 2444 KB Output is correct
14 Correct 97 ms 2372 KB Output is correct
15 Correct 87 ms 2416 KB Output is correct
16 Correct 86 ms 2384 KB Output is correct
17 Correct 86 ms 2404 KB Output is correct
18 Correct 88 ms 2372 KB Output is correct
19 Correct 414 ms 11344 KB Output is correct
20 Correct 473 ms 11248 KB Output is correct
21 Correct 300 ms 10644 KB Output is correct
22 Correct 297 ms 10244 KB Output is correct
23 Correct 187 ms 3652 KB Output is correct
24 Correct 201 ms 3896 KB Output is correct
25 Correct 296 ms 11244 KB Output is correct
26 Correct 320 ms 11324 KB Output is correct
27 Correct 359 ms 11236 KB Output is correct
28 Correct 336 ms 11216 KB Output is correct
29 Correct 349 ms 10584 KB Output is correct
30 Correct 216 ms 3632 KB Output is correct
31 Correct 337 ms 11292 KB Output is correct
32 Correct 317 ms 10616 KB Output is correct
33 Correct 192 ms 3664 KB Output is correct
34 Correct 331 ms 11324 KB Output is correct
35 Correct 281 ms 9752 KB Output is correct
36 Correct 203 ms 3572 KB Output is correct
37 Correct 188 ms 3568 KB Output is correct
38 Correct 393 ms 11192 KB Output is correct
39 Correct 286 ms 11300 KB Output is correct
40 Correct 264 ms 8008 KB Output is correct
41 Correct 468 ms 11496 KB Output is correct
42 Correct 51 ms 10792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 91 ms 2300 KB Output is correct
2 Correct 99 ms 2412 KB Output is correct
3 Correct 97 ms 2348 KB Output is correct
4 Correct 82 ms 2272 KB Output is correct
5 Correct 81 ms 2392 KB Output is correct
6 Correct 85 ms 2256 KB Output is correct
7 Correct 85 ms 2420 KB Output is correct
8 Correct 89 ms 2516 KB Output is correct
9 Correct 93 ms 2392 KB Output is correct
10 Correct 88 ms 2456 KB Output is correct
11 Correct 91 ms 2520 KB Output is correct
12 Correct 91 ms 2360 KB Output is correct
13 Correct 87 ms 2444 KB Output is correct
14 Correct 97 ms 2372 KB Output is correct
15 Correct 87 ms 2416 KB Output is correct
16 Correct 86 ms 2384 KB Output is correct
17 Correct 86 ms 2404 KB Output is correct
18 Correct 88 ms 2372 KB Output is correct
19 Correct 101 ms 2372 KB Output is correct
20 Correct 102 ms 2248 KB Output is correct
21 Correct 87 ms 2416 KB Output is correct
22 Correct 92 ms 2228 KB Output is correct
23 Correct 89 ms 2424 KB Output is correct
24 Correct 82 ms 2384 KB Output is correct
25 Correct 88 ms 2372 KB Output is correct
26 Correct 79 ms 2372 KB Output is correct
27 Correct 85 ms 2372 KB Output is correct
28 Correct 77 ms 2176 KB Output is correct
29 Correct 87 ms 2436 KB Output is correct
30 Correct 75 ms 2244 KB Output is correct
31 Correct 87 ms 2484 KB Output is correct
32 Correct 90 ms 2372 KB Output is correct
33 Correct 87 ms 2380 KB Output is correct
34 Correct 78 ms 2324 KB Output is correct
35 Correct 89 ms 2456 KB Output is correct
36 Correct 94 ms 2488 KB Output is correct
37 Correct 87 ms 2440 KB Output is correct
38 Correct 96 ms 2372 KB Output is correct
39 Correct 96 ms 2428 KB Output is correct
40 Correct 92 ms 2424 KB Output is correct
41 Correct 92 ms 2404 KB Output is correct
42 Correct 88 ms 2384 KB Output is correct
43 Correct 103 ms 2368 KB Output is correct
44 Correct 92 ms 2424 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 91 ms 2300 KB Output is correct
2 Correct 99 ms 2412 KB Output is correct
3 Correct 97 ms 2348 KB Output is correct
4 Correct 82 ms 2272 KB Output is correct
5 Correct 81 ms 2392 KB Output is correct
6 Correct 85 ms 2256 KB Output is correct
7 Correct 85 ms 2420 KB Output is correct
8 Correct 89 ms 2516 KB Output is correct
9 Correct 93 ms 2392 KB Output is correct
10 Correct 88 ms 2456 KB Output is correct
11 Correct 91 ms 2520 KB Output is correct
12 Correct 91 ms 2360 KB Output is correct
13 Correct 87 ms 2444 KB Output is correct
14 Correct 97 ms 2372 KB Output is correct
15 Correct 87 ms 2416 KB Output is correct
16 Correct 86 ms 2384 KB Output is correct
17 Correct 86 ms 2404 KB Output is correct
18 Correct 88 ms 2372 KB Output is correct
19 Correct 414 ms 11344 KB Output is correct
20 Correct 473 ms 11248 KB Output is correct
21 Correct 300 ms 10644 KB Output is correct
22 Correct 297 ms 10244 KB Output is correct
23 Correct 187 ms 3652 KB Output is correct
24 Correct 201 ms 3896 KB Output is correct
25 Correct 296 ms 11244 KB Output is correct
26 Correct 320 ms 11324 KB Output is correct
27 Correct 359 ms 11236 KB Output is correct
28 Correct 336 ms 11216 KB Output is correct
29 Correct 349 ms 10584 KB Output is correct
30 Correct 216 ms 3632 KB Output is correct
31 Correct 337 ms 11292 KB Output is correct
32 Correct 317 ms 10616 KB Output is correct
33 Correct 192 ms 3664 KB Output is correct
34 Correct 331 ms 11324 KB Output is correct
35 Correct 281 ms 9752 KB Output is correct
36 Correct 203 ms 3572 KB Output is correct
37 Correct 188 ms 3568 KB Output is correct
38 Correct 393 ms 11192 KB Output is correct
39 Correct 286 ms 11300 KB Output is correct
40 Correct 264 ms 8008 KB Output is correct
41 Correct 468 ms 11496 KB Output is correct
42 Correct 51 ms 10792 KB Output is correct
43 Correct 101 ms 2372 KB Output is correct
44 Correct 102 ms 2248 KB Output is correct
45 Correct 87 ms 2416 KB Output is correct
46 Correct 92 ms 2228 KB Output is correct
47 Correct 89 ms 2424 KB Output is correct
48 Correct 82 ms 2384 KB Output is correct
49 Correct 88 ms 2372 KB Output is correct
50 Correct 79 ms 2372 KB Output is correct
51 Correct 85 ms 2372 KB Output is correct
52 Correct 77 ms 2176 KB Output is correct
53 Correct 87 ms 2436 KB Output is correct
54 Correct 75 ms 2244 KB Output is correct
55 Correct 87 ms 2484 KB Output is correct
56 Correct 90 ms 2372 KB Output is correct
57 Correct 87 ms 2380 KB Output is correct
58 Correct 78 ms 2324 KB Output is correct
59 Correct 89 ms 2456 KB Output is correct
60 Correct 94 ms 2488 KB Output is correct
61 Correct 87 ms 2440 KB Output is correct
62 Correct 96 ms 2372 KB Output is correct
63 Correct 96 ms 2428 KB Output is correct
64 Correct 92 ms 2424 KB Output is correct
65 Correct 92 ms 2404 KB Output is correct
66 Correct 88 ms 2384 KB Output is correct
67 Correct 103 ms 2368 KB Output is correct
68 Correct 92 ms 2424 KB Output is correct
69 Correct 762 ms 13108 KB Output is correct
70 Correct 949 ms 14984 KB Output is correct
71 Correct 192 ms 3696 KB Output is correct
72 Correct 254 ms 3816 KB Output is correct
73 Correct 204 ms 3716 KB Output is correct
74 Correct 291 ms 10272 KB Output is correct
75 Correct 201 ms 3696 KB Output is correct
76 Correct 358 ms 11100 KB Output is correct
77 Correct 313 ms 10380 KB Output is correct
78 Correct 192 ms 3652 KB Output is correct
79 Correct 188 ms 3640 KB Output is correct
80 Correct 619 ms 12028 KB Output is correct
81 Correct 233 ms 3932 KB Output is correct
82 Correct 786 ms 15080 KB Output is correct
83 Correct 744 ms 14332 KB Output is correct
84 Correct 225 ms 3776 KB Output is correct
85 Correct 225 ms 3824 KB Output is correct
86 Correct 495 ms 12648 KB Output is correct
87 Correct 599 ms 14964 KB Output is correct
88 Correct 231 ms 3816 KB Output is correct
89 Correct 542 ms 13576 KB Output is correct
90 Correct 573 ms 15056 KB Output is correct
91 Correct 249 ms 3792 KB Output is correct
92 Correct 629 ms 12428 KB Output is correct
93 Correct 223 ms 3820 KB Output is correct
94 Correct 259 ms 3808 KB Output is correct
95 Correct 220 ms 3932 KB Output is correct
96 Correct 392 ms 11116 KB Output is correct
97 Correct 480 ms 15168 KB Output is correct
98 Correct 551 ms 10600 KB Output is correct
99 Correct 945 ms 15176 KB Output is correct
100 Correct 503 ms 14408 KB Output is correct