#include <bits/extc++.h>
using namespace std;
using namespace __gnu_pbds;
#define fast ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define all(a) a.begin(), a.end()
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using vi = vector<int>;
using oset = tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>;
struct node {
ll h = 0;
int push = -1;
};
const ll MOD = 1e18 + 3, P = 13;
const int R = (1 << 18);
const vector<array<int, 3>> o = {{0, 0, 1}, {0, 1, 0}, {1, 0, 0}, {0, 2, 2}, {2, 0, 2}, {2, 2, 0}, {1, 1, 2}, {1, 2, 1}, {2, 1, 1}};
vector<ll> pw(R + 1), pr(R + 1);
vector<node> t(R * 2);
int n;
vi A, B, C;
unordered_set<ll> ps;
void all_combs() {
for (auto x: o) {
ll h = 0;
for (int i = 0; i < n; ++i) {
int y = (A[i] * x[0] + B[i] * x[1] + C[i] * x[2]) % 3;
h = ((__int128)h * P + y + 1) % MOD;
}
ps.insert((__int128)h * pw[R - n] % MOD);
}
}
void push(int v, int len) {
if (t[v].push != -1) {
t[v << 1].h = (__int128)pr[len - 1] * (t[v].push + 1) % MOD;
t[v << 1].push = t[v].push;
t[(v << 1) ^ 1].h = (__int128)pr[len - 1] * (t[v].push + 1) % MOD;
t[(v << 1) ^ 1].push = t[v].push;
t[v].push = -1;
}
}
void update(int ql, int qr, int x, int v = 1, int l = 0, int r = R) {
if (ql >= r || l >= qr)
return;
if (ql <= l && r <= qr) {
t[v].h = (__int128)pr[r - l - 1] * (x + 1) % MOD;
t[v].push = x;
return;
}
int m = (l + r) / 2;
push(v, m - l);
update(ql, qr, x, (v << 1), l, m);
update(ql, qr, x, ((v << 1) ^ 1), m, r);
t[v].h = ((__int128)t[v << 1].h * pw[m - l] + t[(v << 1) ^ 1].h) % MOD;
}
int get_num(char c) {
if (c == 'J')
return 0;
else if (c == 'O')
return 1;
else
return 2;
}
void check_string() {
if (ps.find(t[1].h) != ps.end())
cout << "Yes\n";
else
cout << "No\n";
}
int main() {
fast;
pw[0] = 1;
pr[0] = 1;
for (int i = 1; i <= R; ++i) {
pw[i] = (__int128)pw[i - 1] * P % MOD;
pr[i] = (pr[i - 1] + pw[i]) % MOD;
}
cin >> n;
A.resize(n);
B.resize(n);
C.resize(n);
string s;
cin >> s;
for (int i = 0; i < n; ++i)
A[i] = get_num(s[i]);
cin >> s;
for (int i = 0; i < n; ++i)
B[i] = get_num(s[i]);
cin >> s;
for (int i = 0; i < n; ++i)
C[i] = get_num(s[i]);
all_combs();
int q;
cin >> q >> s;
for (int i = 0; i < n; ++i)
t[R + i].h = get_num(s[i]) + 1;
vi len(R);
len[0] = R;
for (int i = 1; i < R; ++i)
len[i] = len[i >> 1] / 2;
for (int i = R - 1; i > 0; --i)
t[i].h = ((__int128)t[i << 1].h * pw[len[i]] + t[(i << 1) ^ 1].h) % MOD;
check_string();
while (q--) {
int l, r;
char c;
cin >> l >> r >> c;
--l;
update(l, r, get_num(c));
check_string();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
115 ms |
14212 KB |
Output is correct |
2 |
Correct |
132 ms |
14408 KB |
Output is correct |
3 |
Correct |
136 ms |
14196 KB |
Output is correct |
4 |
Correct |
116 ms |
14164 KB |
Output is correct |
5 |
Correct |
117 ms |
14176 KB |
Output is correct |
6 |
Correct |
121 ms |
14164 KB |
Output is correct |
7 |
Correct |
125 ms |
14328 KB |
Output is correct |
8 |
Correct |
118 ms |
14336 KB |
Output is correct |
9 |
Correct |
126 ms |
14268 KB |
Output is correct |
10 |
Correct |
124 ms |
14176 KB |
Output is correct |
11 |
Correct |
127 ms |
14372 KB |
Output is correct |
12 |
Correct |
117 ms |
14408 KB |
Output is correct |
13 |
Correct |
133 ms |
14352 KB |
Output is correct |
14 |
Correct |
117 ms |
14388 KB |
Output is correct |
15 |
Correct |
132 ms |
14160 KB |
Output is correct |
16 |
Correct |
124 ms |
14232 KB |
Output is correct |
17 |
Correct |
125 ms |
14372 KB |
Output is correct |
18 |
Correct |
126 ms |
14420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
115 ms |
14212 KB |
Output is correct |
2 |
Correct |
132 ms |
14408 KB |
Output is correct |
3 |
Correct |
136 ms |
14196 KB |
Output is correct |
4 |
Correct |
116 ms |
14164 KB |
Output is correct |
5 |
Correct |
117 ms |
14176 KB |
Output is correct |
6 |
Correct |
121 ms |
14164 KB |
Output is correct |
7 |
Correct |
125 ms |
14328 KB |
Output is correct |
8 |
Correct |
118 ms |
14336 KB |
Output is correct |
9 |
Correct |
126 ms |
14268 KB |
Output is correct |
10 |
Correct |
124 ms |
14176 KB |
Output is correct |
11 |
Correct |
127 ms |
14372 KB |
Output is correct |
12 |
Correct |
117 ms |
14408 KB |
Output is correct |
13 |
Correct |
133 ms |
14352 KB |
Output is correct |
14 |
Correct |
117 ms |
14388 KB |
Output is correct |
15 |
Correct |
132 ms |
14160 KB |
Output is correct |
16 |
Correct |
124 ms |
14232 KB |
Output is correct |
17 |
Correct |
125 ms |
14372 KB |
Output is correct |
18 |
Correct |
126 ms |
14420 KB |
Output is correct |
19 |
Correct |
230 ms |
16920 KB |
Output is correct |
20 |
Correct |
254 ms |
16848 KB |
Output is correct |
21 |
Correct |
168 ms |
16856 KB |
Output is correct |
22 |
Correct |
167 ms |
16508 KB |
Output is correct |
23 |
Correct |
153 ms |
14460 KB |
Output is correct |
24 |
Correct |
137 ms |
14512 KB |
Output is correct |
25 |
Correct |
161 ms |
16864 KB |
Output is correct |
26 |
Correct |
178 ms |
17132 KB |
Output is correct |
27 |
Correct |
186 ms |
16860 KB |
Output is correct |
28 |
Correct |
184 ms |
17068 KB |
Output is correct |
29 |
Correct |
185 ms |
16972 KB |
Output is correct |
30 |
Correct |
144 ms |
14340 KB |
Output is correct |
31 |
Correct |
184 ms |
16864 KB |
Output is correct |
32 |
Correct |
183 ms |
16952 KB |
Output is correct |
33 |
Correct |
136 ms |
14508 KB |
Output is correct |
34 |
Correct |
180 ms |
17028 KB |
Output is correct |
35 |
Correct |
160 ms |
16608 KB |
Output is correct |
36 |
Correct |
135 ms |
14420 KB |
Output is correct |
37 |
Correct |
136 ms |
14344 KB |
Output is correct |
38 |
Correct |
228 ms |
17252 KB |
Output is correct |
39 |
Correct |
132 ms |
16964 KB |
Output is correct |
40 |
Correct |
171 ms |
16112 KB |
Output is correct |
41 |
Correct |
254 ms |
21212 KB |
Output is correct |
42 |
Correct |
107 ms |
20188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
115 ms |
14212 KB |
Output is correct |
2 |
Correct |
132 ms |
14408 KB |
Output is correct |
3 |
Correct |
136 ms |
14196 KB |
Output is correct |
4 |
Correct |
116 ms |
14164 KB |
Output is correct |
5 |
Correct |
117 ms |
14176 KB |
Output is correct |
6 |
Correct |
121 ms |
14164 KB |
Output is correct |
7 |
Correct |
125 ms |
14328 KB |
Output is correct |
8 |
Correct |
118 ms |
14336 KB |
Output is correct |
9 |
Correct |
126 ms |
14268 KB |
Output is correct |
10 |
Correct |
124 ms |
14176 KB |
Output is correct |
11 |
Correct |
127 ms |
14372 KB |
Output is correct |
12 |
Correct |
117 ms |
14408 KB |
Output is correct |
13 |
Correct |
133 ms |
14352 KB |
Output is correct |
14 |
Correct |
117 ms |
14388 KB |
Output is correct |
15 |
Correct |
132 ms |
14160 KB |
Output is correct |
16 |
Correct |
124 ms |
14232 KB |
Output is correct |
17 |
Correct |
125 ms |
14372 KB |
Output is correct |
18 |
Correct |
126 ms |
14420 KB |
Output is correct |
19 |
Correct |
123 ms |
14284 KB |
Output is correct |
20 |
Correct |
132 ms |
14352 KB |
Output is correct |
21 |
Correct |
131 ms |
14160 KB |
Output is correct |
22 |
Correct |
111 ms |
14164 KB |
Output is correct |
23 |
Correct |
119 ms |
14160 KB |
Output is correct |
24 |
Correct |
117 ms |
14636 KB |
Output is correct |
25 |
Correct |
120 ms |
14160 KB |
Output is correct |
26 |
Correct |
116 ms |
14256 KB |
Output is correct |
27 |
Correct |
120 ms |
14312 KB |
Output is correct |
28 |
Correct |
109 ms |
14156 KB |
Output is correct |
29 |
Correct |
119 ms |
14164 KB |
Output is correct |
30 |
Correct |
110 ms |
14160 KB |
Output is correct |
31 |
Correct |
140 ms |
14252 KB |
Output is correct |
32 |
Correct |
122 ms |
14320 KB |
Output is correct |
33 |
Correct |
127 ms |
14356 KB |
Output is correct |
34 |
Correct |
114 ms |
14148 KB |
Output is correct |
35 |
Correct |
125 ms |
14308 KB |
Output is correct |
36 |
Correct |
123 ms |
14392 KB |
Output is correct |
37 |
Correct |
136 ms |
14336 KB |
Output is correct |
38 |
Correct |
129 ms |
14344 KB |
Output is correct |
39 |
Correct |
123 ms |
14184 KB |
Output is correct |
40 |
Correct |
123 ms |
14412 KB |
Output is correct |
41 |
Correct |
123 ms |
14432 KB |
Output is correct |
42 |
Correct |
124 ms |
14392 KB |
Output is correct |
43 |
Correct |
121 ms |
14152 KB |
Output is correct |
44 |
Correct |
122 ms |
14164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
115 ms |
14212 KB |
Output is correct |
2 |
Correct |
132 ms |
14408 KB |
Output is correct |
3 |
Correct |
136 ms |
14196 KB |
Output is correct |
4 |
Correct |
116 ms |
14164 KB |
Output is correct |
5 |
Correct |
117 ms |
14176 KB |
Output is correct |
6 |
Correct |
121 ms |
14164 KB |
Output is correct |
7 |
Correct |
125 ms |
14328 KB |
Output is correct |
8 |
Correct |
118 ms |
14336 KB |
Output is correct |
9 |
Correct |
126 ms |
14268 KB |
Output is correct |
10 |
Correct |
124 ms |
14176 KB |
Output is correct |
11 |
Correct |
127 ms |
14372 KB |
Output is correct |
12 |
Correct |
117 ms |
14408 KB |
Output is correct |
13 |
Correct |
133 ms |
14352 KB |
Output is correct |
14 |
Correct |
117 ms |
14388 KB |
Output is correct |
15 |
Correct |
132 ms |
14160 KB |
Output is correct |
16 |
Correct |
124 ms |
14232 KB |
Output is correct |
17 |
Correct |
125 ms |
14372 KB |
Output is correct |
18 |
Correct |
126 ms |
14420 KB |
Output is correct |
19 |
Correct |
230 ms |
16920 KB |
Output is correct |
20 |
Correct |
254 ms |
16848 KB |
Output is correct |
21 |
Correct |
168 ms |
16856 KB |
Output is correct |
22 |
Correct |
167 ms |
16508 KB |
Output is correct |
23 |
Correct |
153 ms |
14460 KB |
Output is correct |
24 |
Correct |
137 ms |
14512 KB |
Output is correct |
25 |
Correct |
161 ms |
16864 KB |
Output is correct |
26 |
Correct |
178 ms |
17132 KB |
Output is correct |
27 |
Correct |
186 ms |
16860 KB |
Output is correct |
28 |
Correct |
184 ms |
17068 KB |
Output is correct |
29 |
Correct |
185 ms |
16972 KB |
Output is correct |
30 |
Correct |
144 ms |
14340 KB |
Output is correct |
31 |
Correct |
184 ms |
16864 KB |
Output is correct |
32 |
Correct |
183 ms |
16952 KB |
Output is correct |
33 |
Correct |
136 ms |
14508 KB |
Output is correct |
34 |
Correct |
180 ms |
17028 KB |
Output is correct |
35 |
Correct |
160 ms |
16608 KB |
Output is correct |
36 |
Correct |
135 ms |
14420 KB |
Output is correct |
37 |
Correct |
136 ms |
14344 KB |
Output is correct |
38 |
Correct |
228 ms |
17252 KB |
Output is correct |
39 |
Correct |
132 ms |
16964 KB |
Output is correct |
40 |
Correct |
171 ms |
16112 KB |
Output is correct |
41 |
Correct |
254 ms |
21212 KB |
Output is correct |
42 |
Correct |
107 ms |
20188 KB |
Output is correct |
43 |
Correct |
123 ms |
14284 KB |
Output is correct |
44 |
Correct |
132 ms |
14352 KB |
Output is correct |
45 |
Correct |
131 ms |
14160 KB |
Output is correct |
46 |
Correct |
111 ms |
14164 KB |
Output is correct |
47 |
Correct |
119 ms |
14160 KB |
Output is correct |
48 |
Correct |
117 ms |
14636 KB |
Output is correct |
49 |
Correct |
120 ms |
14160 KB |
Output is correct |
50 |
Correct |
116 ms |
14256 KB |
Output is correct |
51 |
Correct |
120 ms |
14312 KB |
Output is correct |
52 |
Correct |
109 ms |
14156 KB |
Output is correct |
53 |
Correct |
119 ms |
14164 KB |
Output is correct |
54 |
Correct |
110 ms |
14160 KB |
Output is correct |
55 |
Correct |
140 ms |
14252 KB |
Output is correct |
56 |
Correct |
122 ms |
14320 KB |
Output is correct |
57 |
Correct |
127 ms |
14356 KB |
Output is correct |
58 |
Correct |
114 ms |
14148 KB |
Output is correct |
59 |
Correct |
125 ms |
14308 KB |
Output is correct |
60 |
Correct |
123 ms |
14392 KB |
Output is correct |
61 |
Correct |
136 ms |
14336 KB |
Output is correct |
62 |
Correct |
129 ms |
14344 KB |
Output is correct |
63 |
Correct |
123 ms |
14184 KB |
Output is correct |
64 |
Correct |
123 ms |
14412 KB |
Output is correct |
65 |
Correct |
123 ms |
14432 KB |
Output is correct |
66 |
Correct |
124 ms |
14392 KB |
Output is correct |
67 |
Correct |
121 ms |
14152 KB |
Output is correct |
68 |
Correct |
122 ms |
14164 KB |
Output is correct |
69 |
Correct |
203 ms |
19960 KB |
Output is correct |
70 |
Correct |
268 ms |
20444 KB |
Output is correct |
71 |
Correct |
136 ms |
16720 KB |
Output is correct |
72 |
Correct |
139 ms |
17184 KB |
Output is correct |
73 |
Correct |
158 ms |
16748 KB |
Output is correct |
74 |
Correct |
149 ms |
19680 KB |
Output is correct |
75 |
Correct |
138 ms |
16880 KB |
Output is correct |
76 |
Correct |
161 ms |
20624 KB |
Output is correct |
77 |
Correct |
161 ms |
19936 KB |
Output is correct |
78 |
Correct |
137 ms |
16724 KB |
Output is correct |
79 |
Correct |
135 ms |
16720 KB |
Output is correct |
80 |
Correct |
163 ms |
19424 KB |
Output is correct |
81 |
Correct |
139 ms |
16724 KB |
Output is correct |
82 |
Correct |
163 ms |
20696 KB |
Output is correct |
83 |
Correct |
175 ms |
20396 KB |
Output is correct |
84 |
Correct |
143 ms |
16868 KB |
Output is correct |
85 |
Correct |
143 ms |
16888 KB |
Output is correct |
86 |
Correct |
209 ms |
19692 KB |
Output is correct |
87 |
Correct |
190 ms |
20600 KB |
Output is correct |
88 |
Correct |
150 ms |
16808 KB |
Output is correct |
89 |
Correct |
185 ms |
20040 KB |
Output is correct |
90 |
Correct |
186 ms |
20672 KB |
Output is correct |
91 |
Correct |
146 ms |
16720 KB |
Output is correct |
92 |
Correct |
154 ms |
19736 KB |
Output is correct |
93 |
Correct |
145 ms |
16716 KB |
Output is correct |
94 |
Correct |
143 ms |
16884 KB |
Output is correct |
95 |
Correct |
140 ms |
16884 KB |
Output is correct |
96 |
Correct |
222 ms |
20704 KB |
Output is correct |
97 |
Correct |
151 ms |
20700 KB |
Output is correct |
98 |
Correct |
157 ms |
19424 KB |
Output is correct |
99 |
Correct |
263 ms |
20988 KB |
Output is correct |
100 |
Correct |
116 ms |
19972 KB |
Output is correct |