#include<bits/stdc++.h>
using namespace std;
#define int long long
#define F first
#define S second
#define all(x) x.begin(),x.end()
#define pii pair<int,int>
#define pb push_back
#define sz(x) (int)(x.size())
#define chmin(x,y) x=min(x,y)
#define chmax(x,y) x=max(x,y)
#define vi vector<int>
#define vp vector<pii>
#define vvi vector<vi>
#define ykh mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count())
#define __lg(x) 63-__builtin_clzll(x)
#define pow2(x) (1LL<<x)
void __print(int x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef local
void CHECK();
void setio(){
freopen("/Users/iantsai/cpp/input.txt","r",stdin);
freopen("/Users/iantsai/cpp/output.txt","w",stdout);
}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
void setio(){}
#define debug(x...)
#endif
#define TOI_is_so_de ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);setio();
const int mod = 1e9 + 1021, mxn = 2e5 + 5;
int pw[mxn][2], pre[mxn][2], P[2];
struct SEG{
int seg[4 * mxn][2], tag[4 * mxn];
void build(){
memset(seg, 0, sizeof(seg));
for(int i = 0; i < 4 * mxn; i++){
tag[i] = -1;
}
}
void apply(int l, int r, int id, int v){
for(int j = 0; j < 2; j++){
seg[id][j] = pre[r - l][j] * (v + 1) % mod;
}
tag[id] = v;
}
void push(int l, int r, int id){
if(tag[id] == -1) return;
int mm = l + r >> 1;
apply(l, mm, id * 2, tag[id]);
apply(mm + 1, r, id * 2 + 1, tag[id]);
tag[id] = -1;
}
void pull(int l, int r, int id){
int mm = l + r >> 1;
for(int j = 0; j < 2; j++){
seg[id][j] = (seg[id * 2 + 1][j] + seg[id * 2][j] * pw[r - mm][j] % mod) % mod;
}
}
void m(int l, int r, int id, int ql, int qr, int v){
if(qr < l or r < ql){
return;
}
if(ql <= l and r <= qr){
apply(l, r, id, v);
return;
}
int mm = l + r >> 1;
push(l, r, id);
m(l, mm, id * 2, ql, qr, v);
m(mm + 1, r, id * 2 + 1, ql, qr, v);
pull(l, r, id);
}
}tr;
void solve(){
P[0] = 1e9 + 7, P[1] = 1e9 + 9;
int n;
cin >> n;
vector<vector<int>>s(4, vector<int>(n + 1));
set<int>ck[2];
for(int j = 0; j < 2; j++){
pw[0][j] = 1;
pre[0][j] = 1;
for(int i = 1; i <= n; i++){
pw[i][j] = pw[i - 1][j] * P[j] % mod;
pre[i][j] = (pre[i - 1][j] + pw[i][j]) % mod;
}
}
for(int i = 1; i <= 3; i++){
vector<int>h(2);
for(int j = 1; j <= n; j++){
char c;
cin >> c;
s[i][j] = (c == 'J' ? 0 : c == 'O' ? 1 : 2);
int v = s[i][j];
for(int k = 0; k < 2; k++){
h[k] = (h[k] * P[k] % mod + (v + 1)) % mod;
}
}
for(int k = 0; k < 2; k++){
ck[k].insert(h[k]);
}
}
for(int i = 0; i <= 3; i++){
for(int j = 0; j <= 3; j++){
for(int k = 0; k <= 3; k++){
vector<int>h(2);
for(int p = 1; p <= n; p++){
int v = (s[i][p] * 2 + s[j][p] * 2) % 3;
v = (v * 2 + s[k][p] * 2) % 3;
for(int k = 0; k < 2; k++){
h[k] = (h[k] * P[k] % mod + (v + 1)) % mod;
}
}
for(int k = 0; k < 2; k++){
ck[k].insert(h[k]);
}
}
}
}
int q;
cin >> q;
tr.build();
{
vector<int>h(2);
for(int j = 1; j <= n; j++){
char c;
cin >> c;
int v = c == 'J' ? 0 : c == 'O' ? 1 : 2;
tr.m(1, n, 1, j, j, v);
}
}
auto check = [&](){
bool ok = 1;
for(int i = 0; i < 2; i++){
if(ck[i].find(tr.seg[1][i]) == ck[i].end()){
ok = 0;
break;
}
}
return ok;
};
cout << (check() ? "Yes\n" : "No\n");
while(q--){
int l, r, v;
char c;
cin >> l >> r >> c;
v = c == 'J' ? 0 : c == 'O' ? 1 : 2;
tr.m(1, n, 1, l, r, v);
cout << (check() ? "Yes\n" : "No\n");
}
}
signed main(){
TOI_is_so_de;
int t = 1;
//cin >> t;
while(t--){
solve();
}
#ifdef local
CHECK();
#endif
}
/*
input:
*/
#ifdef local
void CHECK(){
cerr << "\n[Time]: " << 1000.0 * clock() / CLOCKS_PER_SEC << " ms.\n";
function<bool(string,string)> compareFiles = [](string p1, string p2)->bool {
std::ifstream file1(p1);
std::ifstream file2(p2);
if(!file1.is_open() || !file2.is_open()) return false;
std::string line1, line2;
while (getline(file1, line1) && getline(file2, line2)) {
if (line1 != line2)return false;
}
int cnta = 0, cntb = 0;
while(getline(file1,line1))cnta++;
while(getline(file2,line2))cntb++;
return cntb - cnta <= 1;
};
bool check = compareFiles("output.txt","expected.txt");
if(check) cerr<<"ACCEPTED\n";
else cerr<<"WRONG ANSWER!\n";
}
#else
#endif
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |