#include<bits/stdc++.h>
using namespace std;
using ll = long long;
namespace hashing {
struct H {
int len;
ll h1;
unsigned long long h2;
H() : len(0), h1(0), h2(0) {}
H(int c) : len(1), h1(c), h2(c) {}
};
map<char, int> tran = {
{'J', 0},
{'O', 1},
{'I', 2}
};
const int MOD = 1e9 + 7, MAX_LEN = 2e5 + 10;
ll p1[MAX_LEN];
unsigned long long p2[MAX_LEN];
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
H spam_str[MAX_LEN][3];
H operator + (const H a, const H b) {
H res;
res.len = a.len + b.len;
res.h1 = (a.h1 * p1[b.len] + b.h1) % MOD;
res.h2 = (a.h2 * p2[b.len] + b.h2);
return res;
}
bool operator == (const H a, const H b) {
bool res = 1;
res &= (a.len == b.len);
res &= (a.h1 == b.h1);
res &= (a.h2 == b.h2);
return res;
}
void H_precalc() {
p1[0] = p2[0] = 1;
int p = rnd() % 500 * 2 + 10;
int q = rnd() % 500 * 2 + 10;
for(int i = 1; i < MAX_LEN; i++)
p1[i] = p1[i - 1] * p % MOD,
p2[i] = p2[i - 1] * q;
for(int i = 1; i < MAX_LEN; i++) {
spam_str[i][0] = spam_str[i - 1][0] + H(0);
spam_str[i][1] = spam_str[i - 1][1] + H(1);
spam_str[i][2] = spam_str[i - 1][2] + H(2);
}
}
const int M = (1 << 18);
H tr[2 * M];
vector<int> upd(2 * M, -1);
void setpush(int v, int l, int r, int x) {
tr[v] = spam_str[r - l + 1][x];
upd[v] = x;
}
void push(int v, int l, int r) {
if(l == r || upd[v] == -1) return;
int mid = (l + r) / 2;
setpush(2 * v, l, mid, upd[v]);
setpush(2 * v + 1, mid + 1, r, upd[v]);
upd[v] = -1;
}
void build(string &t, int l = 0, int r = M - 1, int v = 1) {
if(l == r) {
if(l < (int)t.size()) tr[v] = H(tran[t[l]]);
return;
}
int mid = (l + r) / 2;
build(t, l, mid, 2 * v);
build(t, mid + 1, r, 2 * v + 1);
tr[v] = tr[2 * v] + tr[2 * v + 1];
}
void update(char c, int ql, int qr, int l = 0, int r = M - 1, int v = 1) {
if(r < ql || l > qr) return;
if(ql <= l && r <= qr) {
setpush(v, l, r, tran[c]);
return;
}
push(v, l, r);
int mid = (l + r) / 2;
update(c, ql, qr, l, mid, 2 * v);
update(c, ql, qr, mid + 1, r, 2 * v + 1);
tr[v] = tr[2 * v] + tr[2 * v + 1];
}
};
using namespace hashing;
int n;
string T = "JOI";
string get(string a, string b) {
string res;
for(int i = 0; i < n; i++)
if(a[i] == b[i]) res += a[i];
else {
int k = 0;
while(T[k] == a[i] || T[k] == b[i]) k++;
res += T[k];
}
return res;
}
vector<string> st;
vector<H> h;
bool check() {
for(H cur : h)
if(cur == tr[1]) return 1;
return 0;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
hashing::H_precalc();
cin >> n;
string s[3];
cin >> s[0] >> s[1] >> s[2];
st.push_back(s[0]);
st.push_back(s[1]);
st.push_back(s[2]);
st.push_back(get(s[0], s[1]));
st.push_back(get(s[0], s[2]));
st.push_back(get(s[1], s[2]));
st.push_back(get(s[0], get(s[1], s[2])));
st.push_back(get(s[0], get(s[2], s[1])));
st.push_back(get(s[1], get(s[0], s[2])));
st.push_back(get(s[1], get(s[2], s[0])));
st.push_back(get(s[2], get(s[0], s[1])));
st.push_back(get(s[2], get(s[1], s[0])));
for(string c : st) {
H res;
for(int i = 0; i < n; i++)
res = res + H(tran[c[i]]);
h.push_back(res);
}
int q;
cin >> q;
string t;
cin >> t;
build(t);
cout << (check() ? "Yes\n" : "No\n");
while(q--) {
int l, r; char x;
cin >> l >> r >> x;
l--; r--;
update(x, l, r);
cout << (check() ? "Yes\n" : "No\n");
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
32400 KB |
Output is correct |
2 |
Correct |
115 ms |
32512 KB |
Output is correct |
3 |
Correct |
113 ms |
32508 KB |
Output is correct |
4 |
Correct |
133 ms |
32428 KB |
Output is correct |
5 |
Correct |
102 ms |
32500 KB |
Output is correct |
6 |
Correct |
106 ms |
32404 KB |
Output is correct |
7 |
Correct |
141 ms |
32468 KB |
Output is correct |
8 |
Correct |
113 ms |
32492 KB |
Output is correct |
9 |
Correct |
110 ms |
32468 KB |
Output is correct |
10 |
Correct |
112 ms |
32436 KB |
Output is correct |
11 |
Correct |
107 ms |
32484 KB |
Output is correct |
12 |
Correct |
133 ms |
32520 KB |
Output is correct |
13 |
Correct |
109 ms |
32500 KB |
Output is correct |
14 |
Correct |
165 ms |
32460 KB |
Output is correct |
15 |
Correct |
104 ms |
32460 KB |
Output is correct |
16 |
Correct |
137 ms |
32436 KB |
Output is correct |
17 |
Correct |
104 ms |
32516 KB |
Output is correct |
18 |
Correct |
120 ms |
32440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
32400 KB |
Output is correct |
2 |
Correct |
115 ms |
32512 KB |
Output is correct |
3 |
Correct |
113 ms |
32508 KB |
Output is correct |
4 |
Correct |
133 ms |
32428 KB |
Output is correct |
5 |
Correct |
102 ms |
32500 KB |
Output is correct |
6 |
Correct |
106 ms |
32404 KB |
Output is correct |
7 |
Correct |
141 ms |
32468 KB |
Output is correct |
8 |
Correct |
113 ms |
32492 KB |
Output is correct |
9 |
Correct |
110 ms |
32468 KB |
Output is correct |
10 |
Correct |
112 ms |
32436 KB |
Output is correct |
11 |
Correct |
107 ms |
32484 KB |
Output is correct |
12 |
Correct |
133 ms |
32520 KB |
Output is correct |
13 |
Correct |
109 ms |
32500 KB |
Output is correct |
14 |
Correct |
165 ms |
32460 KB |
Output is correct |
15 |
Correct |
104 ms |
32460 KB |
Output is correct |
16 |
Correct |
137 ms |
32436 KB |
Output is correct |
17 |
Correct |
104 ms |
32516 KB |
Output is correct |
18 |
Correct |
120 ms |
32440 KB |
Output is correct |
19 |
Correct |
283 ms |
37804 KB |
Output is correct |
20 |
Correct |
238 ms |
40064 KB |
Output is correct |
21 |
Correct |
176 ms |
39772 KB |
Output is correct |
22 |
Correct |
175 ms |
39228 KB |
Output is correct |
23 |
Correct |
127 ms |
35092 KB |
Output is correct |
24 |
Correct |
125 ms |
35068 KB |
Output is correct |
25 |
Correct |
192 ms |
40208 KB |
Output is correct |
26 |
Correct |
180 ms |
40168 KB |
Output is correct |
27 |
Correct |
190 ms |
40200 KB |
Output is correct |
28 |
Correct |
196 ms |
40212 KB |
Output is correct |
29 |
Correct |
202 ms |
39972 KB |
Output is correct |
30 |
Correct |
135 ms |
35032 KB |
Output is correct |
31 |
Correct |
211 ms |
40228 KB |
Output is correct |
32 |
Correct |
180 ms |
39688 KB |
Output is correct |
33 |
Correct |
142 ms |
35108 KB |
Output is correct |
34 |
Correct |
299 ms |
40188 KB |
Output is correct |
35 |
Correct |
197 ms |
38728 KB |
Output is correct |
36 |
Correct |
123 ms |
35076 KB |
Output is correct |
37 |
Correct |
123 ms |
35048 KB |
Output is correct |
38 |
Correct |
230 ms |
39964 KB |
Output is correct |
39 |
Correct |
151 ms |
40372 KB |
Output is correct |
40 |
Correct |
160 ms |
38560 KB |
Output is correct |
41 |
Correct |
237 ms |
40320 KB |
Output is correct |
42 |
Correct |
103 ms |
39656 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
32400 KB |
Output is correct |
2 |
Correct |
115 ms |
32512 KB |
Output is correct |
3 |
Correct |
113 ms |
32508 KB |
Output is correct |
4 |
Correct |
133 ms |
32428 KB |
Output is correct |
5 |
Correct |
102 ms |
32500 KB |
Output is correct |
6 |
Correct |
106 ms |
32404 KB |
Output is correct |
7 |
Correct |
141 ms |
32468 KB |
Output is correct |
8 |
Correct |
113 ms |
32492 KB |
Output is correct |
9 |
Correct |
110 ms |
32468 KB |
Output is correct |
10 |
Correct |
112 ms |
32436 KB |
Output is correct |
11 |
Correct |
107 ms |
32484 KB |
Output is correct |
12 |
Correct |
133 ms |
32520 KB |
Output is correct |
13 |
Correct |
109 ms |
32500 KB |
Output is correct |
14 |
Correct |
165 ms |
32460 KB |
Output is correct |
15 |
Correct |
104 ms |
32460 KB |
Output is correct |
16 |
Correct |
137 ms |
32436 KB |
Output is correct |
17 |
Correct |
104 ms |
32516 KB |
Output is correct |
18 |
Correct |
120 ms |
32440 KB |
Output is correct |
19 |
Correct |
110 ms |
32368 KB |
Output is correct |
20 |
Correct |
115 ms |
32440 KB |
Output is correct |
21 |
Correct |
104 ms |
32484 KB |
Output is correct |
22 |
Correct |
98 ms |
32408 KB |
Output is correct |
23 |
Correct |
108 ms |
32516 KB |
Output is correct |
24 |
Correct |
114 ms |
32420 KB |
Output is correct |
25 |
Correct |
108 ms |
32516 KB |
Output is correct |
26 |
Correct |
105 ms |
32392 KB |
Output is correct |
27 |
Correct |
124 ms |
32444 KB |
Output is correct |
28 |
Correct |
112 ms |
32396 KB |
Output is correct |
29 |
Correct |
107 ms |
32460 KB |
Output is correct |
30 |
Correct |
106 ms |
32412 KB |
Output is correct |
31 |
Correct |
124 ms |
32428 KB |
Output is correct |
32 |
Correct |
108 ms |
32432 KB |
Output is correct |
33 |
Correct |
105 ms |
32456 KB |
Output is correct |
34 |
Correct |
99 ms |
32460 KB |
Output is correct |
35 |
Correct |
104 ms |
32408 KB |
Output is correct |
36 |
Correct |
113 ms |
32560 KB |
Output is correct |
37 |
Correct |
105 ms |
32464 KB |
Output is correct |
38 |
Correct |
107 ms |
32432 KB |
Output is correct |
39 |
Correct |
121 ms |
32396 KB |
Output is correct |
40 |
Correct |
105 ms |
32456 KB |
Output is correct |
41 |
Correct |
115 ms |
32428 KB |
Output is correct |
42 |
Correct |
106 ms |
32412 KB |
Output is correct |
43 |
Correct |
104 ms |
32460 KB |
Output is correct |
44 |
Correct |
106 ms |
32500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
123 ms |
32400 KB |
Output is correct |
2 |
Correct |
115 ms |
32512 KB |
Output is correct |
3 |
Correct |
113 ms |
32508 KB |
Output is correct |
4 |
Correct |
133 ms |
32428 KB |
Output is correct |
5 |
Correct |
102 ms |
32500 KB |
Output is correct |
6 |
Correct |
106 ms |
32404 KB |
Output is correct |
7 |
Correct |
141 ms |
32468 KB |
Output is correct |
8 |
Correct |
113 ms |
32492 KB |
Output is correct |
9 |
Correct |
110 ms |
32468 KB |
Output is correct |
10 |
Correct |
112 ms |
32436 KB |
Output is correct |
11 |
Correct |
107 ms |
32484 KB |
Output is correct |
12 |
Correct |
133 ms |
32520 KB |
Output is correct |
13 |
Correct |
109 ms |
32500 KB |
Output is correct |
14 |
Correct |
165 ms |
32460 KB |
Output is correct |
15 |
Correct |
104 ms |
32460 KB |
Output is correct |
16 |
Correct |
137 ms |
32436 KB |
Output is correct |
17 |
Correct |
104 ms |
32516 KB |
Output is correct |
18 |
Correct |
120 ms |
32440 KB |
Output is correct |
19 |
Correct |
283 ms |
37804 KB |
Output is correct |
20 |
Correct |
238 ms |
40064 KB |
Output is correct |
21 |
Correct |
176 ms |
39772 KB |
Output is correct |
22 |
Correct |
175 ms |
39228 KB |
Output is correct |
23 |
Correct |
127 ms |
35092 KB |
Output is correct |
24 |
Correct |
125 ms |
35068 KB |
Output is correct |
25 |
Correct |
192 ms |
40208 KB |
Output is correct |
26 |
Correct |
180 ms |
40168 KB |
Output is correct |
27 |
Correct |
190 ms |
40200 KB |
Output is correct |
28 |
Correct |
196 ms |
40212 KB |
Output is correct |
29 |
Correct |
202 ms |
39972 KB |
Output is correct |
30 |
Correct |
135 ms |
35032 KB |
Output is correct |
31 |
Correct |
211 ms |
40228 KB |
Output is correct |
32 |
Correct |
180 ms |
39688 KB |
Output is correct |
33 |
Correct |
142 ms |
35108 KB |
Output is correct |
34 |
Correct |
299 ms |
40188 KB |
Output is correct |
35 |
Correct |
197 ms |
38728 KB |
Output is correct |
36 |
Correct |
123 ms |
35076 KB |
Output is correct |
37 |
Correct |
123 ms |
35048 KB |
Output is correct |
38 |
Correct |
230 ms |
39964 KB |
Output is correct |
39 |
Correct |
151 ms |
40372 KB |
Output is correct |
40 |
Correct |
160 ms |
38560 KB |
Output is correct |
41 |
Correct |
237 ms |
40320 KB |
Output is correct |
42 |
Correct |
103 ms |
39656 KB |
Output is correct |
43 |
Correct |
110 ms |
32368 KB |
Output is correct |
44 |
Correct |
115 ms |
32440 KB |
Output is correct |
45 |
Correct |
104 ms |
32484 KB |
Output is correct |
46 |
Correct |
98 ms |
32408 KB |
Output is correct |
47 |
Correct |
108 ms |
32516 KB |
Output is correct |
48 |
Correct |
114 ms |
32420 KB |
Output is correct |
49 |
Correct |
108 ms |
32516 KB |
Output is correct |
50 |
Correct |
105 ms |
32392 KB |
Output is correct |
51 |
Correct |
124 ms |
32444 KB |
Output is correct |
52 |
Correct |
112 ms |
32396 KB |
Output is correct |
53 |
Correct |
107 ms |
32460 KB |
Output is correct |
54 |
Correct |
106 ms |
32412 KB |
Output is correct |
55 |
Correct |
124 ms |
32428 KB |
Output is correct |
56 |
Correct |
108 ms |
32432 KB |
Output is correct |
57 |
Correct |
105 ms |
32456 KB |
Output is correct |
58 |
Correct |
99 ms |
32460 KB |
Output is correct |
59 |
Correct |
104 ms |
32408 KB |
Output is correct |
60 |
Correct |
113 ms |
32560 KB |
Output is correct |
61 |
Correct |
105 ms |
32464 KB |
Output is correct |
62 |
Correct |
107 ms |
32432 KB |
Output is correct |
63 |
Correct |
121 ms |
32396 KB |
Output is correct |
64 |
Correct |
105 ms |
32456 KB |
Output is correct |
65 |
Correct |
115 ms |
32428 KB |
Output is correct |
66 |
Correct |
106 ms |
32412 KB |
Output is correct |
67 |
Correct |
104 ms |
32460 KB |
Output is correct |
68 |
Correct |
106 ms |
32500 KB |
Output is correct |
69 |
Correct |
236 ms |
39108 KB |
Output is correct |
70 |
Correct |
260 ms |
40144 KB |
Output is correct |
71 |
Correct |
124 ms |
35044 KB |
Output is correct |
72 |
Correct |
126 ms |
35048 KB |
Output is correct |
73 |
Correct |
125 ms |
35132 KB |
Output is correct |
74 |
Correct |
175 ms |
39124 KB |
Output is correct |
75 |
Correct |
125 ms |
35044 KB |
Output is correct |
76 |
Correct |
212 ms |
40220 KB |
Output is correct |
77 |
Correct |
195 ms |
39236 KB |
Output is correct |
78 |
Correct |
124 ms |
35136 KB |
Output is correct |
79 |
Correct |
123 ms |
35116 KB |
Output is correct |
80 |
Correct |
177 ms |
38520 KB |
Output is correct |
81 |
Correct |
127 ms |
35116 KB |
Output is correct |
82 |
Correct |
212 ms |
40188 KB |
Output is correct |
83 |
Correct |
203 ms |
39820 KB |
Output is correct |
84 |
Correct |
124 ms |
35028 KB |
Output is correct |
85 |
Correct |
125 ms |
35020 KB |
Output is correct |
86 |
Correct |
175 ms |
38900 KB |
Output is correct |
87 |
Correct |
198 ms |
40220 KB |
Output is correct |
88 |
Correct |
153 ms |
35076 KB |
Output is correct |
89 |
Correct |
183 ms |
39420 KB |
Output is correct |
90 |
Correct |
186 ms |
40220 KB |
Output is correct |
91 |
Correct |
129 ms |
35012 KB |
Output is correct |
92 |
Correct |
187 ms |
38748 KB |
Output is correct |
93 |
Correct |
123 ms |
35020 KB |
Output is correct |
94 |
Correct |
130 ms |
35064 KB |
Output is correct |
95 |
Correct |
123 ms |
35036 KB |
Output is correct |
96 |
Correct |
199 ms |
40012 KB |
Output is correct |
97 |
Correct |
145 ms |
40212 KB |
Output is correct |
98 |
Correct |
186 ms |
38524 KB |
Output is correct |
99 |
Correct |
274 ms |
40372 KB |
Output is correct |
100 |
Correct |
140 ms |
39600 KB |
Output is correct |