/*input
4
JOJO
JJOI
OJOO
3
IJOJ
1 4 O
2 2 J
2 4 I
*/
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> indexed_set;
#pragma GCC optimize("Ofast")
//order_of_key #of elements less than x
// find_by_order kth element
typedef long long int ll;
#define ld double
#define pii pair<ll,ll>
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(int i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (ll)x.size()
const ll maxn=2e5+5;
const ll maxlg=__lg(maxn)+2;
const ll INF64=4e17;
const int INF=0x3f3f3f3f;
const ll MOD=1e9+9;
const ld PI=acos(-1);
const ld eps=1e-4;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
ll mult(ll a,ll b){
return (a*b)%MOD;
}
ll mypow(ll a,ll b){
ll res=1;
while(b){
if(b&1) res=mult(res,a);
a=mult(a,a);
b/=2;
}
return res;
}
int pww[maxn];
string arr[3];
string bl="JOI";
string op(string a,string b){
string ans="";
REP(i,sz(a)){
if(a[i]==b[i]) ans.pb(a[i]);
else{
REP(k,3){
if(bl[k]!=a[i] and bl[k]!=b[i]) ans.pb(bl[k]);
}
}
}
return ans;
}
ll inv(int x){
return mypow(x,MOD-2);
}
struct node{
int sum,lazy,len;
}seg[4*maxn];
ll i3=inv(3);
void build(int idx,int l,int r){
seg[idx].len=(r-l+1);
if(l==r) return;
int mid=(l+r)/2;
build(idx*2,l,mid);
build(idx*2+1,mid+1,r);
}
void pushdown(int idx,int l,int r){
if(seg[idx].lazy==0) return;
seg[idx].sum=mult(mult(pww[seg[idx].len]-1,i3),seg[idx].lazy);
if(l!=r){
seg[idx*2].lazy=seg[idx].lazy;
seg[idx*2+1].lazy=seg[idx].lazy;
}
seg[idx].lazy=0;
}
node merge(node a,node b){
node c;
c.sum=a.sum+mult(b.sum,pww[a.len]);
c.len=a.len+b.len;
return c;
}
void upd(int idx,int l,int r,int ql,int qr,int x){
pushdown(idx,l,r);
if(r<ql or l>qr) return;
if(ql<=l and r<=qr){
seg[idx].lazy=x;
pushdown(idx,l,r);
return;
}
int mid=(l+r)/2;
upd(idx*2,l,mid,ql,qr,x);
upd(idx*2+1,mid+1,r,ql,qr,x);
seg[idx]=merge(seg[idx*2],seg[idx*2+1]);
}
map<char,int> mp;
int hsh(string s){
int pw=1;
ll ans=0;
for(auto x:s){
ans+=mult(pw,mp[x]);
ans%=MOD;
pw=mult(pw,4);
}
return ans;
}
int main(){
ios::sync_with_stdio(false),cin.tie(0);
int n;
cin>>n;
REP(i,3) cin>>arr[i];
mp['J']=1,mp['O']=2,mp['I']=3;
vector<string> v;
map<int,int> cnt;
REP(i,3){
cnt[hsh(arr[i])]++;
REP(j,i){
string z=op(arr[i],arr[j]);
cnt[hsh(z)]++;
}
}
pww[0]=1;
REP1(i,n) pww[i]=mult(pww[i-1],4);
vector<int> b;
REP(i,3) b.pb(i);
do{
string cur="";
for(auto x:b){
if(!sz(cur)) cur=arr[x];
else cur=op(cur,arr[x]);
}
cnt[hsh(cur)]++;
}while(next_permutation(ALL(b)));
int q;
string s;
cin>>q>>s;
build(1,0,n-1);
REP(i,n) upd(1,0,n-1,i,i,mp[s[i]]);
if(cnt[seg[1].sum]){
cout<<"Yes\n";
}
else cout<<"No\n";
while(q--){
int l,r;
char c;
cin>>l>>r>>c;
--l,--r;
upd(1,0,n-1,l,r,mp[c]);
if(cnt[seg[1].sum]){
cout<<"Yes\n";
}
else cout<<"No\n";
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
167 ms |
7868 KB |
Output is correct |
| 2 |
Correct |
190 ms |
8536 KB |
Output is correct |
| 3 |
Correct |
182 ms |
3644 KB |
Output is correct |
| 4 |
Incorrect |
171 ms |
8464 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
167 ms |
7868 KB |
Output is correct |
| 2 |
Correct |
190 ms |
8536 KB |
Output is correct |
| 3 |
Correct |
182 ms |
3644 KB |
Output is correct |
| 4 |
Incorrect |
171 ms |
8464 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
167 ms |
7868 KB |
Output is correct |
| 2 |
Correct |
190 ms |
8536 KB |
Output is correct |
| 3 |
Correct |
182 ms |
3644 KB |
Output is correct |
| 4 |
Incorrect |
171 ms |
8464 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
167 ms |
7868 KB |
Output is correct |
| 2 |
Correct |
190 ms |
8536 KB |
Output is correct |
| 3 |
Correct |
182 ms |
3644 KB |
Output is correct |
| 4 |
Incorrect |
171 ms |
8464 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
