#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define all(a) (a).begin(), (a).end()
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#define fr first
#define sc second
#define int long long
#define rc(s) return cout<<s,0
#define rcc(s) cout<<s,exit(0)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int nmax = 200005;
const int mod = 1e9 + 7;
const int p = 101;
int n, q, pw[nmax], tree[4*nmax], lazy[4*nmax], sump[nmax];
string Sa, Sb, Sc, T0;
int generatehash(string aux){
int hsh = 0;
for(int i=0;i<(int)aux.size();i++){
hsh = (hsh + pw[i] * (aux[i] - '0') % mod) % mod;
}
return hsh;
}
vector<int>vecc;
string comb(string a, string b){
string aux = "";
for(int t=0;t<n;t++){
if(a[t] == b[t]){
aux += a[t];
}
else if(a[t] != '1' && b[t] != '1'){
aux += '1';
}
else if(a[t] != '0' && b[t] != '0'){
aux += '0';
}
else{
aux += '2';
}
}
return aux;
}
void calc(){
string aux = comb(Sa, Sb);
vecc.push_back(generatehash(aux));
aux = comb(Sa, Sc);
vecc.push_back(generatehash(aux));
aux = comb(Sb, Sc);
vecc.push_back(generatehash(aux));
aux = comb(Sa, Sb);
aux = comb(aux, Sc);
vecc.push_back(generatehash(aux));
aux = comb(Sb, Sc);
aux = comb(aux, Sa);
vecc.push_back(generatehash(aux));
aux = comb(Sa, Sc);
aux = comb(aux, Sb);
vecc.push_back(generatehash(aux));
}
void build(int l, int r, int nod){
if(l == r){
tree[nod] = (T0[l - 1] - '0');
}
else{
int mid = l + (r - l) / 2;
build(l, mid, 2*nod);
build(mid+1, r, 2*nod+1);
tree[nod] = (tree[2*nod] + pw[(mid - l + 1)] * tree[2*nod + 1] % mod) % mod;
}
}
void push(int l, int r, int nod){
if(lazy[nod] >= 1){
tree[nod] = (lazy[nod] - 1LL) * sump[r - l] % mod;
if(l != r){
lazy[2*nod] = lazy[nod];
lazy[2*nod+1] = lazy[nod];
}
lazy[nod] = 0;
}
}
void update(int l, int r, int le, int ri, int val, int nod){
push(l, r, nod);
if(l > ri || r < le){
return;
}
else if(l >= le && r <= ri){
lazy[nod] = val;
push(l, r, nod);
}
else{
int mid = l + (r - l) / 2;
update(l, mid, le, ri, val, 2*nod);
update(mid + 1, r, le, ri, val, 2*nod + 1);
tree[nod] = (tree[2*nod] + pw[(mid - l + 1)] * tree[2*nod + 1] % mod) % mod;
}
}
bool check(){
push(1, n, 1);
for(auto it : vecc){
if(it == tree[1]){
return true;
}
}
return false;
}
int32_t main(){
//ios_base::sync_with_stdio(false);cin.tie(0);cerr.tie(0);cout.tie(0);
//freopen("input.in", "r", stdin);
pw[0] = 1;
sump[0] = 1;
for(int i=1;i<nmax;i++){
pw[i] = pw[i-1] * p % mod;
sump[i] = (sump[i-1] + pw[i]) % mod;
}
cin >> n >> Sa >> Sb >> Sc >> q >> T0;
for(auto &it : Sa){
if(it == 'J') it = '0';
else if(it == 'O') it = '1';
else it = '2';
}
for(auto &it : Sb){
if(it == 'J') it = '0';
else if(it == 'O') it = '1';
else it = '2';
}
for(auto &it : Sc){
if(it == 'J') it = '0';
else if(it == 'O') it = '1';
else it = '2';
}
for(auto &it : T0){
if(it == 'J') it = '0';
else if(it == 'O') it = '1';
else it = '2';
}
vecc.push_back(generatehash(Sa));
vecc.push_back(generatehash(Sb));
vecc.push_back(generatehash(Sc));
calc();
build(1, n, 1);
cout << (check() == true ? "Yes" : "No") << '\n';
for(int i=1;i<=q;i++){
int l, r;
char c;
cin >> l >> r >> c;
int val;
if(c == 'J') val = 1;
else if(c == 'O') val = 2;
else val = 3;
update(1, n, l, r, val, 1);
cout << (check() == true ? "Yes" : "No") << '\n';
}
}
// 1. Solve the problem
// 2. ???
// 3. Profit
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
442 ms |
4044 KB |
Output is correct |
2 |
Correct |
492 ms |
3908 KB |
Output is correct |
3 |
Correct |
497 ms |
4036 KB |
Output is correct |
4 |
Correct |
507 ms |
3964 KB |
Output is correct |
5 |
Correct |
447 ms |
3908 KB |
Output is correct |
6 |
Correct |
521 ms |
3948 KB |
Output is correct |
7 |
Correct |
482 ms |
4104 KB |
Output is correct |
8 |
Correct |
548 ms |
3944 KB |
Output is correct |
9 |
Correct |
467 ms |
3992 KB |
Output is correct |
10 |
Correct |
514 ms |
4004 KB |
Output is correct |
11 |
Correct |
480 ms |
4092 KB |
Output is correct |
12 |
Correct |
490 ms |
4016 KB |
Output is correct |
13 |
Correct |
472 ms |
4092 KB |
Output is correct |
14 |
Correct |
473 ms |
4040 KB |
Output is correct |
15 |
Correct |
526 ms |
4032 KB |
Output is correct |
16 |
Correct |
467 ms |
3936 KB |
Output is correct |
17 |
Correct |
517 ms |
4036 KB |
Output is correct |
18 |
Correct |
466 ms |
4036 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
442 ms |
4044 KB |
Output is correct |
2 |
Correct |
492 ms |
3908 KB |
Output is correct |
3 |
Correct |
497 ms |
4036 KB |
Output is correct |
4 |
Correct |
507 ms |
3964 KB |
Output is correct |
5 |
Correct |
447 ms |
3908 KB |
Output is correct |
6 |
Correct |
521 ms |
3948 KB |
Output is correct |
7 |
Correct |
482 ms |
4104 KB |
Output is correct |
8 |
Correct |
548 ms |
3944 KB |
Output is correct |
9 |
Correct |
467 ms |
3992 KB |
Output is correct |
10 |
Correct |
514 ms |
4004 KB |
Output is correct |
11 |
Correct |
480 ms |
4092 KB |
Output is correct |
12 |
Correct |
490 ms |
4016 KB |
Output is correct |
13 |
Correct |
472 ms |
4092 KB |
Output is correct |
14 |
Correct |
473 ms |
4040 KB |
Output is correct |
15 |
Correct |
526 ms |
4032 KB |
Output is correct |
16 |
Correct |
467 ms |
3936 KB |
Output is correct |
17 |
Correct |
517 ms |
4036 KB |
Output is correct |
18 |
Correct |
466 ms |
4036 KB |
Output is correct |
19 |
Correct |
912 ms |
13532 KB |
Output is correct |
20 |
Correct |
919 ms |
10308 KB |
Output is correct |
21 |
Correct |
739 ms |
13472 KB |
Output is correct |
22 |
Correct |
742 ms |
13296 KB |
Output is correct |
23 |
Correct |
677 ms |
4544 KB |
Output is correct |
24 |
Correct |
611 ms |
4692 KB |
Output is correct |
25 |
Correct |
749 ms |
13532 KB |
Output is correct |
26 |
Correct |
812 ms |
13528 KB |
Output is correct |
27 |
Correct |
829 ms |
13660 KB |
Output is correct |
28 |
Correct |
833 ms |
13604 KB |
Output is correct |
29 |
Correct |
828 ms |
13456 KB |
Output is correct |
30 |
Correct |
583 ms |
4564 KB |
Output is correct |
31 |
Correct |
786 ms |
13456 KB |
Output is correct |
32 |
Correct |
739 ms |
13372 KB |
Output is correct |
33 |
Correct |
566 ms |
4756 KB |
Output is correct |
34 |
Correct |
812 ms |
13544 KB |
Output is correct |
35 |
Correct |
672 ms |
13260 KB |
Output is correct |
36 |
Correct |
544 ms |
4596 KB |
Output is correct |
37 |
Correct |
560 ms |
4548 KB |
Output is correct |
38 |
Correct |
729 ms |
10296 KB |
Output is correct |
39 |
Correct |
648 ms |
9496 KB |
Output is correct |
40 |
Correct |
642 ms |
8956 KB |
Output is correct |
41 |
Correct |
873 ms |
13832 KB |
Output is correct |
42 |
Correct |
520 ms |
9652 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
442 ms |
4044 KB |
Output is correct |
2 |
Correct |
492 ms |
3908 KB |
Output is correct |
3 |
Correct |
497 ms |
4036 KB |
Output is correct |
4 |
Correct |
507 ms |
3964 KB |
Output is correct |
5 |
Correct |
447 ms |
3908 KB |
Output is correct |
6 |
Correct |
521 ms |
3948 KB |
Output is correct |
7 |
Correct |
482 ms |
4104 KB |
Output is correct |
8 |
Correct |
548 ms |
3944 KB |
Output is correct |
9 |
Correct |
467 ms |
3992 KB |
Output is correct |
10 |
Correct |
514 ms |
4004 KB |
Output is correct |
11 |
Correct |
480 ms |
4092 KB |
Output is correct |
12 |
Correct |
490 ms |
4016 KB |
Output is correct |
13 |
Correct |
472 ms |
4092 KB |
Output is correct |
14 |
Correct |
473 ms |
4040 KB |
Output is correct |
15 |
Correct |
526 ms |
4032 KB |
Output is correct |
16 |
Correct |
467 ms |
3936 KB |
Output is correct |
17 |
Correct |
517 ms |
4036 KB |
Output is correct |
18 |
Correct |
466 ms |
4036 KB |
Output is correct |
19 |
Correct |
513 ms |
3972 KB |
Output is correct |
20 |
Correct |
503 ms |
3960 KB |
Output is correct |
21 |
Correct |
483 ms |
4044 KB |
Output is correct |
22 |
Correct |
429 ms |
3908 KB |
Output is correct |
23 |
Correct |
460 ms |
3956 KB |
Output is correct |
24 |
Correct |
463 ms |
3992 KB |
Output is correct |
25 |
Correct |
533 ms |
4052 KB |
Output is correct |
26 |
Correct |
465 ms |
3944 KB |
Output is correct |
27 |
Correct |
478 ms |
3968 KB |
Output is correct |
28 |
Correct |
432 ms |
4100 KB |
Output is correct |
29 |
Correct |
473 ms |
4072 KB |
Output is correct |
30 |
Correct |
436 ms |
3980 KB |
Output is correct |
31 |
Correct |
523 ms |
4084 KB |
Output is correct |
32 |
Correct |
478 ms |
3924 KB |
Output is correct |
33 |
Correct |
487 ms |
4004 KB |
Output is correct |
34 |
Correct |
436 ms |
3892 KB |
Output is correct |
35 |
Correct |
521 ms |
3988 KB |
Output is correct |
36 |
Correct |
472 ms |
3940 KB |
Output is correct |
37 |
Correct |
513 ms |
4024 KB |
Output is correct |
38 |
Correct |
521 ms |
3928 KB |
Output is correct |
39 |
Correct |
474 ms |
4072 KB |
Output is correct |
40 |
Correct |
472 ms |
4132 KB |
Output is correct |
41 |
Correct |
477 ms |
3928 KB |
Output is correct |
42 |
Correct |
536 ms |
3984 KB |
Output is correct |
43 |
Correct |
469 ms |
3980 KB |
Output is correct |
44 |
Correct |
476 ms |
3976 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
442 ms |
4044 KB |
Output is correct |
2 |
Correct |
492 ms |
3908 KB |
Output is correct |
3 |
Correct |
497 ms |
4036 KB |
Output is correct |
4 |
Correct |
507 ms |
3964 KB |
Output is correct |
5 |
Correct |
447 ms |
3908 KB |
Output is correct |
6 |
Correct |
521 ms |
3948 KB |
Output is correct |
7 |
Correct |
482 ms |
4104 KB |
Output is correct |
8 |
Correct |
548 ms |
3944 KB |
Output is correct |
9 |
Correct |
467 ms |
3992 KB |
Output is correct |
10 |
Correct |
514 ms |
4004 KB |
Output is correct |
11 |
Correct |
480 ms |
4092 KB |
Output is correct |
12 |
Correct |
490 ms |
4016 KB |
Output is correct |
13 |
Correct |
472 ms |
4092 KB |
Output is correct |
14 |
Correct |
473 ms |
4040 KB |
Output is correct |
15 |
Correct |
526 ms |
4032 KB |
Output is correct |
16 |
Correct |
467 ms |
3936 KB |
Output is correct |
17 |
Correct |
517 ms |
4036 KB |
Output is correct |
18 |
Correct |
466 ms |
4036 KB |
Output is correct |
19 |
Correct |
912 ms |
13532 KB |
Output is correct |
20 |
Correct |
919 ms |
10308 KB |
Output is correct |
21 |
Correct |
739 ms |
13472 KB |
Output is correct |
22 |
Correct |
742 ms |
13296 KB |
Output is correct |
23 |
Correct |
677 ms |
4544 KB |
Output is correct |
24 |
Correct |
611 ms |
4692 KB |
Output is correct |
25 |
Correct |
749 ms |
13532 KB |
Output is correct |
26 |
Correct |
812 ms |
13528 KB |
Output is correct |
27 |
Correct |
829 ms |
13660 KB |
Output is correct |
28 |
Correct |
833 ms |
13604 KB |
Output is correct |
29 |
Correct |
828 ms |
13456 KB |
Output is correct |
30 |
Correct |
583 ms |
4564 KB |
Output is correct |
31 |
Correct |
786 ms |
13456 KB |
Output is correct |
32 |
Correct |
739 ms |
13372 KB |
Output is correct |
33 |
Correct |
566 ms |
4756 KB |
Output is correct |
34 |
Correct |
812 ms |
13544 KB |
Output is correct |
35 |
Correct |
672 ms |
13260 KB |
Output is correct |
36 |
Correct |
544 ms |
4596 KB |
Output is correct |
37 |
Correct |
560 ms |
4548 KB |
Output is correct |
38 |
Correct |
729 ms |
10296 KB |
Output is correct |
39 |
Correct |
648 ms |
9496 KB |
Output is correct |
40 |
Correct |
642 ms |
8956 KB |
Output is correct |
41 |
Correct |
873 ms |
13832 KB |
Output is correct |
42 |
Correct |
520 ms |
9652 KB |
Output is correct |
43 |
Correct |
513 ms |
3972 KB |
Output is correct |
44 |
Correct |
503 ms |
3960 KB |
Output is correct |
45 |
Correct |
483 ms |
4044 KB |
Output is correct |
46 |
Correct |
429 ms |
3908 KB |
Output is correct |
47 |
Correct |
460 ms |
3956 KB |
Output is correct |
48 |
Correct |
463 ms |
3992 KB |
Output is correct |
49 |
Correct |
533 ms |
4052 KB |
Output is correct |
50 |
Correct |
465 ms |
3944 KB |
Output is correct |
51 |
Correct |
478 ms |
3968 KB |
Output is correct |
52 |
Correct |
432 ms |
4100 KB |
Output is correct |
53 |
Correct |
473 ms |
4072 KB |
Output is correct |
54 |
Correct |
436 ms |
3980 KB |
Output is correct |
55 |
Correct |
523 ms |
4084 KB |
Output is correct |
56 |
Correct |
478 ms |
3924 KB |
Output is correct |
57 |
Correct |
487 ms |
4004 KB |
Output is correct |
58 |
Correct |
436 ms |
3892 KB |
Output is correct |
59 |
Correct |
521 ms |
3988 KB |
Output is correct |
60 |
Correct |
472 ms |
3940 KB |
Output is correct |
61 |
Correct |
513 ms |
4024 KB |
Output is correct |
62 |
Correct |
521 ms |
3928 KB |
Output is correct |
63 |
Correct |
474 ms |
4072 KB |
Output is correct |
64 |
Correct |
472 ms |
4132 KB |
Output is correct |
65 |
Correct |
477 ms |
3928 KB |
Output is correct |
66 |
Correct |
536 ms |
3984 KB |
Output is correct |
67 |
Correct |
469 ms |
3980 KB |
Output is correct |
68 |
Correct |
476 ms |
3976 KB |
Output is correct |
69 |
Correct |
754 ms |
13852 KB |
Output is correct |
70 |
Correct |
866 ms |
13224 KB |
Output is correct |
71 |
Correct |
596 ms |
6740 KB |
Output is correct |
72 |
Correct |
591 ms |
6912 KB |
Output is correct |
73 |
Correct |
579 ms |
6776 KB |
Output is correct |
74 |
Correct |
775 ms |
16580 KB |
Output is correct |
75 |
Correct |
608 ms |
6548 KB |
Output is correct |
76 |
Correct |
801 ms |
16936 KB |
Output is correct |
77 |
Correct |
768 ms |
16356 KB |
Output is correct |
78 |
Correct |
669 ms |
6788 KB |
Output is correct |
79 |
Correct |
636 ms |
6708 KB |
Output is correct |
80 |
Correct |
694 ms |
15548 KB |
Output is correct |
81 |
Correct |
623 ms |
6592 KB |
Output is correct |
82 |
Correct |
790 ms |
16464 KB |
Output is correct |
83 |
Correct |
761 ms |
15976 KB |
Output is correct |
84 |
Correct |
553 ms |
6752 KB |
Output is correct |
85 |
Correct |
568 ms |
6712 KB |
Output is correct |
86 |
Correct |
735 ms |
16216 KB |
Output is correct |
87 |
Correct |
794 ms |
16780 KB |
Output is correct |
88 |
Correct |
589 ms |
6588 KB |
Output is correct |
89 |
Correct |
808 ms |
15748 KB |
Output is correct |
90 |
Correct |
797 ms |
15184 KB |
Output is correct |
91 |
Correct |
628 ms |
6088 KB |
Output is correct |
92 |
Correct |
736 ms |
13908 KB |
Output is correct |
93 |
Correct |
648 ms |
5664 KB |
Output is correct |
94 |
Correct |
600 ms |
6168 KB |
Output is correct |
95 |
Correct |
673 ms |
6072 KB |
Output is correct |
96 |
Correct |
744 ms |
13216 KB |
Output is correct |
97 |
Correct |
652 ms |
12832 KB |
Output is correct |
98 |
Correct |
715 ms |
12192 KB |
Output is correct |
99 |
Correct |
932 ms |
17100 KB |
Output is correct |
100 |
Correct |
546 ms |
11984 KB |
Output is correct |