#include <bits/stdc++.h>
using namespace std;
using ll = long long;
string cross(string &a, string &b) {
string res(a.size(), 'a');
for (int i = 0; i < a.size(); ++i) {
if (a[i] == b[i]) {
res[i] = a[i];
} else {
res[i] = 'J' ^ 'O' ^ 'I' ^ a[i] ^ b[i];
}
}
return res;
}
constexpr int MOD = 1e9 + 9;
constexpr int P = 239;
struct Info {
int h, power, sum;
Info() = default;
Info(int a, int b) : h(a), power(b) {}
};
vector<Info> t;
vector<int> tag;
int sz;
void apply(int x, int y) {
if (y != -1) {
t[x].h = 1LL * t[x].sum * y % MOD;
tag[x] = y;
}
}
void push(int x) {
apply(x << 1, tag[x]);
apply(x << 1 | 1, tag[x]);
tag[x] = -1;
}
void pull(int x) {
t[x].h = (t[x << 1].h + 1LL * t[x << 1].power * P % MOD * t[x << 1 | 1].h) % MOD;
t[x].power = 1LL * t[x << 1].power * t[x << 1 | 1].power % MOD * P % MOD;
t[x].sum = (t[x << 1].sum + 1LL * t[x << 1].power * P % MOD * t[x << 1 | 1].sum) % MOD;
}
int to_int(char c) {
return c == 'J' ? 0 : 1 + (c != 'O');
}
void init(int n, string T) {
sz = 1 << __lg(n) + bool(n & (n - 1));
tag.assign(sz << 1, -1), t.resize(sz << 1);
for (int i = 0; i < n; ++i) {
t[i + sz].sum = t[i + sz].power = 1;
t[i + sz].h = to_int(T[i]);
}
for (int i = sz - 1; i > 0; --i) {
pull(i);
}
}
void rangeApply(int l, int r, int tg, int x = 1, int lx = 0, int rx = sz) {
if (l >= rx || lx >= r) {
return;
}
if (l <= lx && rx <= r) {
apply(x, tg);
return;
}
push(x);
int mid = (lx + rx) >> 1;
rangeApply(l, r, tg, x << 1, lx, mid), rangeApply(l, r, tg, x << 1 | 1, mid, rx);
pull(x);
}
int hashed(string &s) {
int ans = 0;
for (int i = int(s.size()) - 1; i >= 0; --i) {
ans = (1LL * ans * P + to_int(s[i])) % MOD;
}
return ans;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
string A, B, C;
cin >> A >> B >> C;
unordered_set<string> every{A, B, C};
queue<string> qu;
qu.push(A), qu.push(B), qu.push(C);
while (!qu.empty()) {
string s = qu.front();
qu.pop();
for (string to : every) {
string res = cross(s, to);
if (!every.count(res)) {
qu.push(res);
every.insert(res);
}
}
}
unordered_set<int> st;
for (string s : every) {
st.insert(hashed(s));
}
int q;
cin >> q;
string T;
cin >> T;
init(n, T);
cout << (st.count(t[1].h) ? "Yes\n" : "No\n");
while (q--) {
int l, r;
char c;
cin >> l >> r >> c;
rangeApply(l - 1, r, to_int(c));
cout << (st.count(t[1].h) ? "Yes\n" : "No\n");
}
return 0;
}
Compilation message
Main.cpp: In function 'std::string cross(std::string&, std::string&)':
Main.cpp:8:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
8 | for (int i = 0; i < a.size(); ++i) {
| ~~^~~~~~~~~~
Main.cpp: In function 'void init(int, std::string)':
Main.cpp:56:23: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
56 | sz = 1 << __lg(n) + bool(n & (n - 1));
| ~~~~~~~~^~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
73 ms |
824 KB |
Output is correct |
2 |
Correct |
81 ms |
888 KB |
Output is correct |
3 |
Correct |
82 ms |
824 KB |
Output is correct |
4 |
Correct |
75 ms |
844 KB |
Output is correct |
5 |
Correct |
70 ms |
1004 KB |
Output is correct |
6 |
Correct |
68 ms |
792 KB |
Output is correct |
7 |
Correct |
75 ms |
796 KB |
Output is correct |
8 |
Correct |
72 ms |
908 KB |
Output is correct |
9 |
Correct |
73 ms |
800 KB |
Output is correct |
10 |
Correct |
73 ms |
904 KB |
Output is correct |
11 |
Correct |
74 ms |
908 KB |
Output is correct |
12 |
Correct |
73 ms |
860 KB |
Output is correct |
13 |
Correct |
73 ms |
844 KB |
Output is correct |
14 |
Correct |
73 ms |
904 KB |
Output is correct |
15 |
Correct |
75 ms |
808 KB |
Output is correct |
16 |
Correct |
73 ms |
828 KB |
Output is correct |
17 |
Correct |
74 ms |
828 KB |
Output is correct |
18 |
Correct |
81 ms |
924 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
73 ms |
824 KB |
Output is correct |
2 |
Correct |
81 ms |
888 KB |
Output is correct |
3 |
Correct |
82 ms |
824 KB |
Output is correct |
4 |
Correct |
75 ms |
844 KB |
Output is correct |
5 |
Correct |
70 ms |
1004 KB |
Output is correct |
6 |
Correct |
68 ms |
792 KB |
Output is correct |
7 |
Correct |
75 ms |
796 KB |
Output is correct |
8 |
Correct |
72 ms |
908 KB |
Output is correct |
9 |
Correct |
73 ms |
800 KB |
Output is correct |
10 |
Correct |
73 ms |
904 KB |
Output is correct |
11 |
Correct |
74 ms |
908 KB |
Output is correct |
12 |
Correct |
73 ms |
860 KB |
Output is correct |
13 |
Correct |
73 ms |
844 KB |
Output is correct |
14 |
Correct |
73 ms |
904 KB |
Output is correct |
15 |
Correct |
75 ms |
808 KB |
Output is correct |
16 |
Correct |
73 ms |
828 KB |
Output is correct |
17 |
Correct |
74 ms |
828 KB |
Output is correct |
18 |
Correct |
81 ms |
924 KB |
Output is correct |
19 |
Correct |
237 ms |
10448 KB |
Output is correct |
20 |
Correct |
234 ms |
10428 KB |
Output is correct |
21 |
Correct |
164 ms |
10380 KB |
Output is correct |
22 |
Correct |
162 ms |
10128 KB |
Output is correct |
23 |
Correct |
116 ms |
1544 KB |
Output is correct |
24 |
Correct |
119 ms |
1512 KB |
Output is correct |
25 |
Correct |
181 ms |
10324 KB |
Output is correct |
26 |
Correct |
175 ms |
10404 KB |
Output is correct |
27 |
Correct |
184 ms |
10332 KB |
Output is correct |
28 |
Correct |
195 ms |
10480 KB |
Output is correct |
29 |
Correct |
189 ms |
10476 KB |
Output is correct |
30 |
Correct |
126 ms |
1500 KB |
Output is correct |
31 |
Correct |
193 ms |
10448 KB |
Output is correct |
32 |
Correct |
198 ms |
10316 KB |
Output is correct |
33 |
Correct |
126 ms |
1508 KB |
Output is correct |
34 |
Correct |
189 ms |
10408 KB |
Output is correct |
35 |
Correct |
181 ms |
10036 KB |
Output is correct |
36 |
Correct |
150 ms |
1484 KB |
Output is correct |
37 |
Correct |
119 ms |
1436 KB |
Output is correct |
38 |
Correct |
210 ms |
10476 KB |
Output is correct |
39 |
Correct |
132 ms |
10348 KB |
Output is correct |
40 |
Correct |
180 ms |
6064 KB |
Output is correct |
41 |
Correct |
302 ms |
10636 KB |
Output is correct |
42 |
Correct |
93 ms |
10580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
73 ms |
824 KB |
Output is correct |
2 |
Correct |
81 ms |
888 KB |
Output is correct |
3 |
Correct |
82 ms |
824 KB |
Output is correct |
4 |
Correct |
75 ms |
844 KB |
Output is correct |
5 |
Correct |
70 ms |
1004 KB |
Output is correct |
6 |
Correct |
68 ms |
792 KB |
Output is correct |
7 |
Correct |
75 ms |
796 KB |
Output is correct |
8 |
Correct |
72 ms |
908 KB |
Output is correct |
9 |
Correct |
73 ms |
800 KB |
Output is correct |
10 |
Correct |
73 ms |
904 KB |
Output is correct |
11 |
Correct |
74 ms |
908 KB |
Output is correct |
12 |
Correct |
73 ms |
860 KB |
Output is correct |
13 |
Correct |
73 ms |
844 KB |
Output is correct |
14 |
Correct |
73 ms |
904 KB |
Output is correct |
15 |
Correct |
75 ms |
808 KB |
Output is correct |
16 |
Correct |
73 ms |
828 KB |
Output is correct |
17 |
Correct |
74 ms |
828 KB |
Output is correct |
18 |
Correct |
81 ms |
924 KB |
Output is correct |
19 |
Correct |
82 ms |
880 KB |
Output is correct |
20 |
Correct |
87 ms |
844 KB |
Output is correct |
21 |
Correct |
85 ms |
932 KB |
Output is correct |
22 |
Correct |
94 ms |
780 KB |
Output is correct |
23 |
Correct |
74 ms |
908 KB |
Output is correct |
24 |
Correct |
72 ms |
784 KB |
Output is correct |
25 |
Correct |
77 ms |
908 KB |
Output is correct |
26 |
Correct |
73 ms |
848 KB |
Output is correct |
27 |
Correct |
77 ms |
792 KB |
Output is correct |
28 |
Correct |
69 ms |
772 KB |
Output is correct |
29 |
Correct |
76 ms |
804 KB |
Output is correct |
30 |
Correct |
72 ms |
864 KB |
Output is correct |
31 |
Correct |
79 ms |
932 KB |
Output is correct |
32 |
Correct |
76 ms |
804 KB |
Output is correct |
33 |
Correct |
78 ms |
848 KB |
Output is correct |
34 |
Correct |
76 ms |
844 KB |
Output is correct |
35 |
Correct |
85 ms |
844 KB |
Output is correct |
36 |
Correct |
79 ms |
844 KB |
Output is correct |
37 |
Correct |
77 ms |
808 KB |
Output is correct |
38 |
Correct |
78 ms |
856 KB |
Output is correct |
39 |
Correct |
77 ms |
848 KB |
Output is correct |
40 |
Correct |
81 ms |
844 KB |
Output is correct |
41 |
Correct |
84 ms |
796 KB |
Output is correct |
42 |
Correct |
85 ms |
808 KB |
Output is correct |
43 |
Correct |
77 ms |
828 KB |
Output is correct |
44 |
Correct |
77 ms |
924 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
73 ms |
824 KB |
Output is correct |
2 |
Correct |
81 ms |
888 KB |
Output is correct |
3 |
Correct |
82 ms |
824 KB |
Output is correct |
4 |
Correct |
75 ms |
844 KB |
Output is correct |
5 |
Correct |
70 ms |
1004 KB |
Output is correct |
6 |
Correct |
68 ms |
792 KB |
Output is correct |
7 |
Correct |
75 ms |
796 KB |
Output is correct |
8 |
Correct |
72 ms |
908 KB |
Output is correct |
9 |
Correct |
73 ms |
800 KB |
Output is correct |
10 |
Correct |
73 ms |
904 KB |
Output is correct |
11 |
Correct |
74 ms |
908 KB |
Output is correct |
12 |
Correct |
73 ms |
860 KB |
Output is correct |
13 |
Correct |
73 ms |
844 KB |
Output is correct |
14 |
Correct |
73 ms |
904 KB |
Output is correct |
15 |
Correct |
75 ms |
808 KB |
Output is correct |
16 |
Correct |
73 ms |
828 KB |
Output is correct |
17 |
Correct |
74 ms |
828 KB |
Output is correct |
18 |
Correct |
81 ms |
924 KB |
Output is correct |
19 |
Correct |
237 ms |
10448 KB |
Output is correct |
20 |
Correct |
234 ms |
10428 KB |
Output is correct |
21 |
Correct |
164 ms |
10380 KB |
Output is correct |
22 |
Correct |
162 ms |
10128 KB |
Output is correct |
23 |
Correct |
116 ms |
1544 KB |
Output is correct |
24 |
Correct |
119 ms |
1512 KB |
Output is correct |
25 |
Correct |
181 ms |
10324 KB |
Output is correct |
26 |
Correct |
175 ms |
10404 KB |
Output is correct |
27 |
Correct |
184 ms |
10332 KB |
Output is correct |
28 |
Correct |
195 ms |
10480 KB |
Output is correct |
29 |
Correct |
189 ms |
10476 KB |
Output is correct |
30 |
Correct |
126 ms |
1500 KB |
Output is correct |
31 |
Correct |
193 ms |
10448 KB |
Output is correct |
32 |
Correct |
198 ms |
10316 KB |
Output is correct |
33 |
Correct |
126 ms |
1508 KB |
Output is correct |
34 |
Correct |
189 ms |
10408 KB |
Output is correct |
35 |
Correct |
181 ms |
10036 KB |
Output is correct |
36 |
Correct |
150 ms |
1484 KB |
Output is correct |
37 |
Correct |
119 ms |
1436 KB |
Output is correct |
38 |
Correct |
210 ms |
10476 KB |
Output is correct |
39 |
Correct |
132 ms |
10348 KB |
Output is correct |
40 |
Correct |
180 ms |
6064 KB |
Output is correct |
41 |
Correct |
302 ms |
10636 KB |
Output is correct |
42 |
Correct |
93 ms |
10580 KB |
Output is correct |
43 |
Correct |
82 ms |
880 KB |
Output is correct |
44 |
Correct |
87 ms |
844 KB |
Output is correct |
45 |
Correct |
85 ms |
932 KB |
Output is correct |
46 |
Correct |
94 ms |
780 KB |
Output is correct |
47 |
Correct |
74 ms |
908 KB |
Output is correct |
48 |
Correct |
72 ms |
784 KB |
Output is correct |
49 |
Correct |
77 ms |
908 KB |
Output is correct |
50 |
Correct |
73 ms |
848 KB |
Output is correct |
51 |
Correct |
77 ms |
792 KB |
Output is correct |
52 |
Correct |
69 ms |
772 KB |
Output is correct |
53 |
Correct |
76 ms |
804 KB |
Output is correct |
54 |
Correct |
72 ms |
864 KB |
Output is correct |
55 |
Correct |
79 ms |
932 KB |
Output is correct |
56 |
Correct |
76 ms |
804 KB |
Output is correct |
57 |
Correct |
78 ms |
848 KB |
Output is correct |
58 |
Correct |
76 ms |
844 KB |
Output is correct |
59 |
Correct |
85 ms |
844 KB |
Output is correct |
60 |
Correct |
79 ms |
844 KB |
Output is correct |
61 |
Correct |
77 ms |
808 KB |
Output is correct |
62 |
Correct |
78 ms |
856 KB |
Output is correct |
63 |
Correct |
77 ms |
848 KB |
Output is correct |
64 |
Correct |
81 ms |
844 KB |
Output is correct |
65 |
Correct |
84 ms |
796 KB |
Output is correct |
66 |
Correct |
85 ms |
808 KB |
Output is correct |
67 |
Correct |
77 ms |
828 KB |
Output is correct |
68 |
Correct |
77 ms |
924 KB |
Output is correct |
69 |
Correct |
275 ms |
12280 KB |
Output is correct |
70 |
Correct |
313 ms |
12960 KB |
Output is correct |
71 |
Correct |
141 ms |
1528 KB |
Output is correct |
72 |
Correct |
127 ms |
1560 KB |
Output is correct |
73 |
Correct |
118 ms |
1504 KB |
Output is correct |
74 |
Correct |
164 ms |
10724 KB |
Output is correct |
75 |
Correct |
123 ms |
1544 KB |
Output is correct |
76 |
Correct |
238 ms |
10824 KB |
Output is correct |
77 |
Correct |
180 ms |
10488 KB |
Output is correct |
78 |
Correct |
123 ms |
1480 KB |
Output is correct |
79 |
Correct |
121 ms |
1552 KB |
Output is correct |
80 |
Correct |
196 ms |
11660 KB |
Output is correct |
81 |
Correct |
126 ms |
1612 KB |
Output is correct |
82 |
Correct |
231 ms |
13044 KB |
Output is correct |
83 |
Correct |
210 ms |
13008 KB |
Output is correct |
84 |
Correct |
125 ms |
1648 KB |
Output is correct |
85 |
Correct |
129 ms |
1584 KB |
Output is correct |
86 |
Correct |
249 ms |
11968 KB |
Output is correct |
87 |
Correct |
262 ms |
12780 KB |
Output is correct |
88 |
Correct |
138 ms |
1768 KB |
Output is correct |
89 |
Correct |
246 ms |
12288 KB |
Output is correct |
90 |
Correct |
234 ms |
12988 KB |
Output is correct |
91 |
Correct |
147 ms |
1572 KB |
Output is correct |
92 |
Correct |
186 ms |
11984 KB |
Output is correct |
93 |
Correct |
124 ms |
1544 KB |
Output is correct |
94 |
Correct |
123 ms |
1528 KB |
Output is correct |
95 |
Correct |
127 ms |
1540 KB |
Output is correct |
96 |
Correct |
219 ms |
10396 KB |
Output is correct |
97 |
Correct |
187 ms |
13000 KB |
Output is correct |
98 |
Correct |
191 ms |
7796 KB |
Output is correct |
99 |
Correct |
289 ms |
13236 KB |
Output is correct |
100 |
Correct |
139 ms |
12968 KB |
Output is correct |