#include <bits/stdc++.h>
using namespace std;
#define ll long long
mt19937 rng(time(NULL));
const int nx=2e5+5, mod=1e9+7, base=(rng()%mod+mod)%mod;
ll n, mp[100], q, k[10], l, r;
char ch;
vector<ll> d[10], p(nx), qsp(nx);
string s[3], t;
struct segtree
{
ll d[4*nx], lz[4*nx];
void pushlz(int l, int r, int i)
{
if (lz[i]==-1) return;
if (l==r) return d[i]=(((qsp[r]-qsp[l-1])*lz[i])%mod+mod)%mod, lz[i]=-1, void();
d[i]=(((qsp[r]-qsp[l-1])*lz[i])%mod+mod)%mod;
lz[2*i]=lz[i];
lz[2*i+1]=lz[i];
lz[i]=-1;
}
void build(int l, int r, int i)
{
lz[i]=-1;
if (l==r) return lz[i]=mp[(int)t[l-1]], pushlz(l, r, i);
int md=(l+r)/2;
build(l, md, 2*i);
build(md+1, r, 2*i+1);
d[i]=(d[2*i]+d[2*i+1])%mod;
}
void update(int l, int r, int i, int ql, int qr, int vl)
{
pushlz(l, r, i);
if (qr<l||r<ql) return;
if (ql<=l&&r<=qr) return lz[i]=vl, pushlz(l, r, i), void();
int md=(l+r)/2;
update(l, md, 2*i, ql, qr, vl);
update(md+1, r, 2*i+1, ql, qr, vl);
d[i]=(d[2*i]+d[2*i+1])%mod;
}
bool check()
{
for (int i=0; i<9; i++) if (k[i]==d[1]) return 1;
return 0;
}
} st;
ll getval(vector<ll> &str)
{
ll res=0;
for (int i=1; i<=n; i++) res=(res+p[i]*str[i])%mod;
return res;
}
vector<ll> cross(vector<ll> &lhs, vector<ll> &rhs)
{
vector<ll> res(nx);
for (int i=1; i<=n; i++) res[i]=((lhs[i]+rhs[i])*2)%3;
return res;
}
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
for (int i=0; i<9; i++) d[i].resize(nx);
mp['J']=0; mp['O']=1; mp['I']=2;
p[1]=qsp[1]=1;
for (int i=2; i<nx; i++) p[i]=(p[i-1]*base)%mod, qsp[i]=(qsp[i-1]+p[i])%mod;
cin>>n>>s[0]>>s[1]>>s[2];
for (int i=0; i<3; i++) for (int j=1; j<=n; j++) d[i][j]=mp[(int)s[i][j-1]];
d[3]=cross(d[0], d[1]);
d[4]=cross(d[0], d[2]);
d[5]=cross(d[1], d[2]);
d[6]=cross(d[3], d[2]);
d[7]=cross(d[4], d[1]);
d[8]=cross(d[5], d[0]);
for (int i=0; i<9; i++) k[i]=getval(d[i]);
cin>>q>>t;
st.build(1, n, 1);
cout<<(st.check()?"Yes":"No")<<'\n';
while (q--)
{
cin>>l>>r>>ch;
st.update(1, n, 1, l, r, mp[(int)ch]);
//cout<<"here "<<st.d[1]<<'\n';
cout<<(st.check()?"Yes":"No")<<'\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
21656 KB |
Output is correct |
2 |
Correct |
71 ms |
21784 KB |
Output is correct |
3 |
Correct |
69 ms |
21676 KB |
Output is correct |
4 |
Correct |
62 ms |
21760 KB |
Output is correct |
5 |
Correct |
62 ms |
21732 KB |
Output is correct |
6 |
Correct |
63 ms |
21660 KB |
Output is correct |
7 |
Correct |
65 ms |
21676 KB |
Output is correct |
8 |
Correct |
65 ms |
21792 KB |
Output is correct |
9 |
Correct |
65 ms |
21780 KB |
Output is correct |
10 |
Correct |
79 ms |
21776 KB |
Output is correct |
11 |
Correct |
67 ms |
21820 KB |
Output is correct |
12 |
Correct |
69 ms |
21832 KB |
Output is correct |
13 |
Correct |
65 ms |
21664 KB |
Output is correct |
14 |
Correct |
82 ms |
21816 KB |
Output is correct |
15 |
Correct |
66 ms |
21816 KB |
Output is correct |
16 |
Correct |
71 ms |
21644 KB |
Output is correct |
17 |
Correct |
68 ms |
21872 KB |
Output is correct |
18 |
Correct |
67 ms |
21664 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
21656 KB |
Output is correct |
2 |
Correct |
71 ms |
21784 KB |
Output is correct |
3 |
Correct |
69 ms |
21676 KB |
Output is correct |
4 |
Correct |
62 ms |
21760 KB |
Output is correct |
5 |
Correct |
62 ms |
21732 KB |
Output is correct |
6 |
Correct |
63 ms |
21660 KB |
Output is correct |
7 |
Correct |
65 ms |
21676 KB |
Output is correct |
8 |
Correct |
65 ms |
21792 KB |
Output is correct |
9 |
Correct |
65 ms |
21780 KB |
Output is correct |
10 |
Correct |
79 ms |
21776 KB |
Output is correct |
11 |
Correct |
67 ms |
21820 KB |
Output is correct |
12 |
Correct |
69 ms |
21832 KB |
Output is correct |
13 |
Correct |
65 ms |
21664 KB |
Output is correct |
14 |
Correct |
82 ms |
21816 KB |
Output is correct |
15 |
Correct |
66 ms |
21816 KB |
Output is correct |
16 |
Correct |
71 ms |
21644 KB |
Output is correct |
17 |
Correct |
68 ms |
21872 KB |
Output is correct |
18 |
Correct |
67 ms |
21664 KB |
Output is correct |
19 |
Correct |
183 ms |
33400 KB |
Output is correct |
20 |
Correct |
185 ms |
33088 KB |
Output is correct |
21 |
Correct |
129 ms |
33056 KB |
Output is correct |
22 |
Correct |
122 ms |
32848 KB |
Output is correct |
23 |
Correct |
96 ms |
26796 KB |
Output is correct |
24 |
Correct |
95 ms |
26772 KB |
Output is correct |
25 |
Correct |
131 ms |
33388 KB |
Output is correct |
26 |
Correct |
137 ms |
33372 KB |
Output is correct |
27 |
Correct |
149 ms |
33232 KB |
Output is correct |
28 |
Correct |
168 ms |
33372 KB |
Output is correct |
29 |
Correct |
144 ms |
33224 KB |
Output is correct |
30 |
Correct |
101 ms |
26888 KB |
Output is correct |
31 |
Correct |
146 ms |
33348 KB |
Output is correct |
32 |
Correct |
166 ms |
33036 KB |
Output is correct |
33 |
Correct |
102 ms |
26972 KB |
Output is correct |
34 |
Correct |
143 ms |
33176 KB |
Output is correct |
35 |
Correct |
113 ms |
32628 KB |
Output is correct |
36 |
Correct |
98 ms |
26892 KB |
Output is correct |
37 |
Correct |
94 ms |
26900 KB |
Output is correct |
38 |
Correct |
165 ms |
33096 KB |
Output is correct |
39 |
Correct |
108 ms |
33348 KB |
Output is correct |
40 |
Correct |
131 ms |
28516 KB |
Output is correct |
41 |
Correct |
262 ms |
33376 KB |
Output is correct |
42 |
Correct |
59 ms |
32848 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
21656 KB |
Output is correct |
2 |
Correct |
71 ms |
21784 KB |
Output is correct |
3 |
Correct |
69 ms |
21676 KB |
Output is correct |
4 |
Correct |
62 ms |
21760 KB |
Output is correct |
5 |
Correct |
62 ms |
21732 KB |
Output is correct |
6 |
Correct |
63 ms |
21660 KB |
Output is correct |
7 |
Correct |
65 ms |
21676 KB |
Output is correct |
8 |
Correct |
65 ms |
21792 KB |
Output is correct |
9 |
Correct |
65 ms |
21780 KB |
Output is correct |
10 |
Correct |
79 ms |
21776 KB |
Output is correct |
11 |
Correct |
67 ms |
21820 KB |
Output is correct |
12 |
Correct |
69 ms |
21832 KB |
Output is correct |
13 |
Correct |
65 ms |
21664 KB |
Output is correct |
14 |
Correct |
82 ms |
21816 KB |
Output is correct |
15 |
Correct |
66 ms |
21816 KB |
Output is correct |
16 |
Correct |
71 ms |
21644 KB |
Output is correct |
17 |
Correct |
68 ms |
21872 KB |
Output is correct |
18 |
Correct |
67 ms |
21664 KB |
Output is correct |
19 |
Correct |
81 ms |
21940 KB |
Output is correct |
20 |
Correct |
75 ms |
21752 KB |
Output is correct |
21 |
Correct |
64 ms |
21676 KB |
Output is correct |
22 |
Correct |
59 ms |
21484 KB |
Output is correct |
23 |
Correct |
70 ms |
21660 KB |
Output is correct |
24 |
Correct |
64 ms |
21660 KB |
Output is correct |
25 |
Correct |
65 ms |
21664 KB |
Output is correct |
26 |
Correct |
62 ms |
21692 KB |
Output is correct |
27 |
Correct |
64 ms |
21780 KB |
Output is correct |
28 |
Correct |
58 ms |
21464 KB |
Output is correct |
29 |
Correct |
66 ms |
21740 KB |
Output is correct |
30 |
Correct |
59 ms |
21464 KB |
Output is correct |
31 |
Correct |
70 ms |
21680 KB |
Output is correct |
32 |
Correct |
63 ms |
21660 KB |
Output is correct |
33 |
Correct |
66 ms |
21756 KB |
Output is correct |
34 |
Correct |
61 ms |
21656 KB |
Output is correct |
35 |
Correct |
65 ms |
21660 KB |
Output is correct |
36 |
Correct |
65 ms |
21664 KB |
Output is correct |
37 |
Correct |
75 ms |
21836 KB |
Output is correct |
38 |
Correct |
66 ms |
21740 KB |
Output is correct |
39 |
Correct |
64 ms |
21780 KB |
Output is correct |
40 |
Correct |
65 ms |
21876 KB |
Output is correct |
41 |
Correct |
63 ms |
21792 KB |
Output is correct |
42 |
Correct |
66 ms |
21656 KB |
Output is correct |
43 |
Correct |
63 ms |
21660 KB |
Output is correct |
44 |
Correct |
71 ms |
21780 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
65 ms |
21656 KB |
Output is correct |
2 |
Correct |
71 ms |
21784 KB |
Output is correct |
3 |
Correct |
69 ms |
21676 KB |
Output is correct |
4 |
Correct |
62 ms |
21760 KB |
Output is correct |
5 |
Correct |
62 ms |
21732 KB |
Output is correct |
6 |
Correct |
63 ms |
21660 KB |
Output is correct |
7 |
Correct |
65 ms |
21676 KB |
Output is correct |
8 |
Correct |
65 ms |
21792 KB |
Output is correct |
9 |
Correct |
65 ms |
21780 KB |
Output is correct |
10 |
Correct |
79 ms |
21776 KB |
Output is correct |
11 |
Correct |
67 ms |
21820 KB |
Output is correct |
12 |
Correct |
69 ms |
21832 KB |
Output is correct |
13 |
Correct |
65 ms |
21664 KB |
Output is correct |
14 |
Correct |
82 ms |
21816 KB |
Output is correct |
15 |
Correct |
66 ms |
21816 KB |
Output is correct |
16 |
Correct |
71 ms |
21644 KB |
Output is correct |
17 |
Correct |
68 ms |
21872 KB |
Output is correct |
18 |
Correct |
67 ms |
21664 KB |
Output is correct |
19 |
Correct |
183 ms |
33400 KB |
Output is correct |
20 |
Correct |
185 ms |
33088 KB |
Output is correct |
21 |
Correct |
129 ms |
33056 KB |
Output is correct |
22 |
Correct |
122 ms |
32848 KB |
Output is correct |
23 |
Correct |
96 ms |
26796 KB |
Output is correct |
24 |
Correct |
95 ms |
26772 KB |
Output is correct |
25 |
Correct |
131 ms |
33388 KB |
Output is correct |
26 |
Correct |
137 ms |
33372 KB |
Output is correct |
27 |
Correct |
149 ms |
33232 KB |
Output is correct |
28 |
Correct |
168 ms |
33372 KB |
Output is correct |
29 |
Correct |
144 ms |
33224 KB |
Output is correct |
30 |
Correct |
101 ms |
26888 KB |
Output is correct |
31 |
Correct |
146 ms |
33348 KB |
Output is correct |
32 |
Correct |
166 ms |
33036 KB |
Output is correct |
33 |
Correct |
102 ms |
26972 KB |
Output is correct |
34 |
Correct |
143 ms |
33176 KB |
Output is correct |
35 |
Correct |
113 ms |
32628 KB |
Output is correct |
36 |
Correct |
98 ms |
26892 KB |
Output is correct |
37 |
Correct |
94 ms |
26900 KB |
Output is correct |
38 |
Correct |
165 ms |
33096 KB |
Output is correct |
39 |
Correct |
108 ms |
33348 KB |
Output is correct |
40 |
Correct |
131 ms |
28516 KB |
Output is correct |
41 |
Correct |
262 ms |
33376 KB |
Output is correct |
42 |
Correct |
59 ms |
32848 KB |
Output is correct |
43 |
Correct |
81 ms |
21940 KB |
Output is correct |
44 |
Correct |
75 ms |
21752 KB |
Output is correct |
45 |
Correct |
64 ms |
21676 KB |
Output is correct |
46 |
Correct |
59 ms |
21484 KB |
Output is correct |
47 |
Correct |
70 ms |
21660 KB |
Output is correct |
48 |
Correct |
64 ms |
21660 KB |
Output is correct |
49 |
Correct |
65 ms |
21664 KB |
Output is correct |
50 |
Correct |
62 ms |
21692 KB |
Output is correct |
51 |
Correct |
64 ms |
21780 KB |
Output is correct |
52 |
Correct |
58 ms |
21464 KB |
Output is correct |
53 |
Correct |
66 ms |
21740 KB |
Output is correct |
54 |
Correct |
59 ms |
21464 KB |
Output is correct |
55 |
Correct |
70 ms |
21680 KB |
Output is correct |
56 |
Correct |
63 ms |
21660 KB |
Output is correct |
57 |
Correct |
66 ms |
21756 KB |
Output is correct |
58 |
Correct |
61 ms |
21656 KB |
Output is correct |
59 |
Correct |
65 ms |
21660 KB |
Output is correct |
60 |
Correct |
65 ms |
21664 KB |
Output is correct |
61 |
Correct |
75 ms |
21836 KB |
Output is correct |
62 |
Correct |
66 ms |
21740 KB |
Output is correct |
63 |
Correct |
64 ms |
21780 KB |
Output is correct |
64 |
Correct |
65 ms |
21876 KB |
Output is correct |
65 |
Correct |
63 ms |
21792 KB |
Output is correct |
66 |
Correct |
66 ms |
21656 KB |
Output is correct |
67 |
Correct |
63 ms |
21660 KB |
Output is correct |
68 |
Correct |
71 ms |
21780 KB |
Output is correct |
69 |
Correct |
158 ms |
32596 KB |
Output is correct |
70 |
Correct |
180 ms |
33276 KB |
Output is correct |
71 |
Correct |
102 ms |
26928 KB |
Output is correct |
72 |
Correct |
94 ms |
26872 KB |
Output is correct |
73 |
Correct |
97 ms |
26892 KB |
Output is correct |
74 |
Correct |
118 ms |
32836 KB |
Output is correct |
75 |
Correct |
93 ms |
27000 KB |
Output is correct |
76 |
Correct |
149 ms |
33384 KB |
Output is correct |
77 |
Correct |
158 ms |
32796 KB |
Output is correct |
78 |
Correct |
102 ms |
26780 KB |
Output is correct |
79 |
Correct |
95 ms |
26808 KB |
Output is correct |
80 |
Correct |
119 ms |
32500 KB |
Output is correct |
81 |
Correct |
95 ms |
26784 KB |
Output is correct |
82 |
Correct |
150 ms |
33336 KB |
Output is correct |
83 |
Correct |
159 ms |
33048 KB |
Output is correct |
84 |
Correct |
94 ms |
26780 KB |
Output is correct |
85 |
Correct |
97 ms |
27008 KB |
Output is correct |
86 |
Correct |
142 ms |
32692 KB |
Output is correct |
87 |
Correct |
149 ms |
33288 KB |
Output is correct |
88 |
Correct |
102 ms |
27036 KB |
Output is correct |
89 |
Correct |
136 ms |
32888 KB |
Output is correct |
90 |
Correct |
143 ms |
33348 KB |
Output is correct |
91 |
Correct |
99 ms |
26784 KB |
Output is correct |
92 |
Correct |
131 ms |
32864 KB |
Output is correct |
93 |
Correct |
94 ms |
26784 KB |
Output is correct |
94 |
Correct |
95 ms |
26776 KB |
Output is correct |
95 |
Correct |
93 ms |
26776 KB |
Output is correct |
96 |
Correct |
192 ms |
33084 KB |
Output is correct |
97 |
Correct |
115 ms |
33348 KB |
Output is correct |
98 |
Correct |
122 ms |
28480 KB |
Output is correct |
99 |
Correct |
240 ms |
33516 KB |
Output is correct |
100 |
Correct |
64 ms |
32836 KB |
Output is correct |