Submission #705071

# Submission time Handle Problem Language Result Execution time Memory
705071 2023-03-03T10:52:31 Z MtSaka Crossing (JOI21_crossing) C++17
100 / 100
525 ms 19028 KB
#include<bits/stdc++.h>
#define rep(i,a,b) for(ll i=(ll)a;i<(ll)b;i++)
#define rrep(i,a,b) for(ll i=(ll)b-1;i>=(ll)a;i--)
using ll=long long;
using namespace std;
using ull=unsigned long long;
vector<ull>pw(400000),pw2(400000);
static constexpr ull MOD=(1LL<<61)-1;
static constexpr ull inv2=(1LL<<60);
static constexpr ull base=2199866433;
ull mul(ull a,ull b){
  return __uint128_t(a)*b%MOD;
}
ull add(ull a,ull b){
  a+=b;if(a>=MOD)a-=MOD;
  return a;
}
ull div2(ull a){
  return mul(a,inv2);
}
void init(){
  pw[0]=1;
  rep(i,1,pw.size())pw[i]=mul(base,pw[i-1]);
  pw2[0]=0;
  rep(i,1,pw2.size())pw2[i]=add(pw2[i-1],pw[i-1]);
}
int get_id(char c){
  if(c=='J')return 0;
  if(c=='O')return 1;
  return 2;
}
char from_id(int a){
  if(a==0)return 'J';
  if(a==1)return 'O';
  return 'I';
}
struct segment_rolling_hash{
  private:
  int n,sz,lg;
  vector<pair<ull,ll>>seg;
  vector<int>lazy;
  void all_apply(int k,int a){
    seg[k].first=mul(a,pw2[seg[k].second]);
    if(k<sz)lazy[k]=a;
  }
  void push(int k){
    if(lazy[k]==-1)return;
    all_apply(k<<1,lazy[k]);all_apply(k<<1|1,lazy[k]);
    lazy[k]=-1;
  }
  void update(int i){
    seg[i].first=add(mul(seg[i<<1].first,pw[seg[i<<1|1].second]),seg[i<<1|1].first);
    seg[i].second=seg[i<<1].second+seg[i<<1|1].second;
  }
  public:
  segment_rolling_hash(string s):n(s.size()){
    sz=1,lg=0;
    while(sz<n)sz<<=1,lg++;
    seg.resize(sz<<1);
    rep(i,0,n){
      seg[i+sz].second=1;
      seg[i+sz].first=get_id(s[i]);
    }
    rrep(i,1,sz)update(i);
    lazy.assign(sz,-1);
  }
  void apply(int l,int r,int a){
    l+=sz,r+=sz;
   rrep(i,1,lg+1){
      if(((l>>i)<<i)!=l)push(l>>i);
      if(((r>>i)<<i)!=r)push((r-1)>>i);
    }
    for(int l2=l,r2=r;l2<r2;l2>>=1,r2>>=1){
      if(l2&1)all_apply(l2++,a);
      if(r2&1)all_apply(--r2,a);
    }
    rep(i,0,lg+1){
      if(((l>>i)<<i)!=l)update(l>>i);
      if(((r>>i)<<i)!=r)update((r-1)>>i);
    }
  }
  ull all_prod()const{return seg[1].first;}
};
ull get_hash(string a){
  ull hash=0;
  for(auto i:a){
    hash=mul(hash,base);
    hash=add(hash,get_id(i));
  }
  return hash;
}
string f(string a,string b){
  assert(a.size()==b.size());
  string ans(a.size(),'1');
  rep(i,0,a.size()){
    if(get_id(a[i])==get_id(b[i]))ans[i]=a[i];
    else ans[i]=from_id(3^get_id(a[i])^get_id(b[i]));
  }
  return ans;
}
int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  init();
  int n;cin>>n;
  string a,b,c;cin>>a>>b>>c;
  //cerr<<a<<" "<<b<<" "<<c<<endl;
  string ab=f(a,b),bc=f(b,c),ac=f(a,c),abbc=f(ab,bc),abac=f(ab,ac),bcac=f(bc,ac);
  //cerr<<ab<<" "<<bc<<" "<<ac<<endl;
  //cerr<<abbc<<" "<<abac<<" "<<bcac<<endl;
  set<ull>st;
  st.insert(get_hash(a));
  st.insert(get_hash(b));
  st.insert(get_hash(c));
  st.insert(get_hash(ab));
  st.insert(get_hash(bc));
  st.insert(get_hash(ac));
  st.insert(get_hash(abbc));
  st.insert(get_hash(abac));
  st.insert(get_hash(bcac));
  //for(auto i:st)cerr<<i<<endl;
  int q;cin>>q;
  string t;cin>>t;
  segment_rolling_hash seg(t);
  if(st.count(seg.all_prod())){
    cout<<"Yes"<<endl;
  }
  else cout<<"No"<<endl;
  rep(i,0,q){
    int l,r;char c;
    cin>>l>>r>>c;
    l--;
    seg.apply(l,r,get_id(c));
    //cerr<<seg.all_prod()<<endl;
    if(st.count(seg.all_prod())){
      cout<<"Yes"<<endl;
    }
    else cout<<"No"<<endl;
  }
}
# Verdict Execution time Memory Grader output
1 Correct 287 ms 7092 KB Output is correct
2 Correct 310 ms 7240 KB Output is correct
3 Correct 304 ms 7076 KB Output is correct
4 Correct 287 ms 7096 KB Output is correct
5 Correct 286 ms 7140 KB Output is correct
6 Correct 281 ms 7128 KB Output is correct
7 Correct 293 ms 7116 KB Output is correct
8 Correct 307 ms 7172 KB Output is correct
9 Correct 300 ms 7092 KB Output is correct
10 Correct 296 ms 7420 KB Output is correct
11 Correct 306 ms 7124 KB Output is correct
12 Correct 298 ms 7244 KB Output is correct
13 Correct 301 ms 7116 KB Output is correct
14 Correct 297 ms 7132 KB Output is correct
15 Correct 303 ms 7116 KB Output is correct
16 Correct 298 ms 7116 KB Output is correct
17 Correct 304 ms 7116 KB Output is correct
18 Correct 304 ms 7256 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 287 ms 7092 KB Output is correct
2 Correct 310 ms 7240 KB Output is correct
3 Correct 304 ms 7076 KB Output is correct
4 Correct 287 ms 7096 KB Output is correct
5 Correct 286 ms 7140 KB Output is correct
6 Correct 281 ms 7128 KB Output is correct
7 Correct 293 ms 7116 KB Output is correct
8 Correct 307 ms 7172 KB Output is correct
9 Correct 300 ms 7092 KB Output is correct
10 Correct 296 ms 7420 KB Output is correct
11 Correct 306 ms 7124 KB Output is correct
12 Correct 298 ms 7244 KB Output is correct
13 Correct 301 ms 7116 KB Output is correct
14 Correct 297 ms 7132 KB Output is correct
15 Correct 303 ms 7116 KB Output is correct
16 Correct 298 ms 7116 KB Output is correct
17 Correct 304 ms 7116 KB Output is correct
18 Correct 304 ms 7256 KB Output is correct
19 Correct 525 ms 18788 KB Output is correct
20 Correct 498 ms 18732 KB Output is correct
21 Correct 420 ms 18576 KB Output is correct
22 Correct 414 ms 18336 KB Output is correct
23 Correct 361 ms 8008 KB Output is correct
24 Correct 366 ms 7872 KB Output is correct
25 Correct 448 ms 18820 KB Output is correct
26 Correct 458 ms 18776 KB Output is correct
27 Correct 448 ms 18716 KB Output is correct
28 Correct 458 ms 19028 KB Output is correct
29 Correct 436 ms 18616 KB Output is correct
30 Correct 372 ms 8008 KB Output is correct
31 Correct 439 ms 18780 KB Output is correct
32 Correct 454 ms 18648 KB Output is correct
33 Correct 365 ms 7884 KB Output is correct
34 Correct 459 ms 18736 KB Output is correct
35 Correct 409 ms 18168 KB Output is correct
36 Correct 362 ms 7868 KB Output is correct
37 Correct 360 ms 7864 KB Output is correct
38 Correct 463 ms 18764 KB Output is correct
39 Correct 424 ms 18732 KB Output is correct
40 Correct 419 ms 13324 KB Output is correct
41 Correct 468 ms 18996 KB Output is correct
42 Correct 310 ms 18884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 287 ms 7092 KB Output is correct
2 Correct 310 ms 7240 KB Output is correct
3 Correct 304 ms 7076 KB Output is correct
4 Correct 287 ms 7096 KB Output is correct
5 Correct 286 ms 7140 KB Output is correct
6 Correct 281 ms 7128 KB Output is correct
7 Correct 293 ms 7116 KB Output is correct
8 Correct 307 ms 7172 KB Output is correct
9 Correct 300 ms 7092 KB Output is correct
10 Correct 296 ms 7420 KB Output is correct
11 Correct 306 ms 7124 KB Output is correct
12 Correct 298 ms 7244 KB Output is correct
13 Correct 301 ms 7116 KB Output is correct
14 Correct 297 ms 7132 KB Output is correct
15 Correct 303 ms 7116 KB Output is correct
16 Correct 298 ms 7116 KB Output is correct
17 Correct 304 ms 7116 KB Output is correct
18 Correct 304 ms 7256 KB Output is correct
19 Correct 295 ms 7060 KB Output is correct
20 Correct 305 ms 7156 KB Output is correct
21 Correct 297 ms 7340 KB Output is correct
22 Correct 274 ms 7116 KB Output is correct
23 Correct 303 ms 7280 KB Output is correct
24 Correct 290 ms 7108 KB Output is correct
25 Correct 306 ms 7180 KB Output is correct
26 Correct 289 ms 7112 KB Output is correct
27 Correct 301 ms 7068 KB Output is correct
28 Correct 274 ms 7128 KB Output is correct
29 Correct 307 ms 7212 KB Output is correct
30 Correct 283 ms 7204 KB Output is correct
31 Correct 301 ms 7184 KB Output is correct
32 Correct 294 ms 7280 KB Output is correct
33 Correct 303 ms 7128 KB Output is correct
34 Correct 297 ms 7144 KB Output is correct
35 Correct 301 ms 7096 KB Output is correct
36 Correct 313 ms 7244 KB Output is correct
37 Correct 305 ms 7180 KB Output is correct
38 Correct 305 ms 7100 KB Output is correct
39 Correct 319 ms 7184 KB Output is correct
40 Correct 308 ms 7164 KB Output is correct
41 Correct 304 ms 7180 KB Output is correct
42 Correct 320 ms 7128 KB Output is correct
43 Correct 297 ms 7148 KB Output is correct
44 Correct 303 ms 7104 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 287 ms 7092 KB Output is correct
2 Correct 310 ms 7240 KB Output is correct
3 Correct 304 ms 7076 KB Output is correct
4 Correct 287 ms 7096 KB Output is correct
5 Correct 286 ms 7140 KB Output is correct
6 Correct 281 ms 7128 KB Output is correct
7 Correct 293 ms 7116 KB Output is correct
8 Correct 307 ms 7172 KB Output is correct
9 Correct 300 ms 7092 KB Output is correct
10 Correct 296 ms 7420 KB Output is correct
11 Correct 306 ms 7124 KB Output is correct
12 Correct 298 ms 7244 KB Output is correct
13 Correct 301 ms 7116 KB Output is correct
14 Correct 297 ms 7132 KB Output is correct
15 Correct 303 ms 7116 KB Output is correct
16 Correct 298 ms 7116 KB Output is correct
17 Correct 304 ms 7116 KB Output is correct
18 Correct 304 ms 7256 KB Output is correct
19 Correct 525 ms 18788 KB Output is correct
20 Correct 498 ms 18732 KB Output is correct
21 Correct 420 ms 18576 KB Output is correct
22 Correct 414 ms 18336 KB Output is correct
23 Correct 361 ms 8008 KB Output is correct
24 Correct 366 ms 7872 KB Output is correct
25 Correct 448 ms 18820 KB Output is correct
26 Correct 458 ms 18776 KB Output is correct
27 Correct 448 ms 18716 KB Output is correct
28 Correct 458 ms 19028 KB Output is correct
29 Correct 436 ms 18616 KB Output is correct
30 Correct 372 ms 8008 KB Output is correct
31 Correct 439 ms 18780 KB Output is correct
32 Correct 454 ms 18648 KB Output is correct
33 Correct 365 ms 7884 KB Output is correct
34 Correct 459 ms 18736 KB Output is correct
35 Correct 409 ms 18168 KB Output is correct
36 Correct 362 ms 7868 KB Output is correct
37 Correct 360 ms 7864 KB Output is correct
38 Correct 463 ms 18764 KB Output is correct
39 Correct 424 ms 18732 KB Output is correct
40 Correct 419 ms 13324 KB Output is correct
41 Correct 468 ms 18996 KB Output is correct
42 Correct 310 ms 18884 KB Output is correct
43 Correct 295 ms 7060 KB Output is correct
44 Correct 305 ms 7156 KB Output is correct
45 Correct 297 ms 7340 KB Output is correct
46 Correct 274 ms 7116 KB Output is correct
47 Correct 303 ms 7280 KB Output is correct
48 Correct 290 ms 7108 KB Output is correct
49 Correct 306 ms 7180 KB Output is correct
50 Correct 289 ms 7112 KB Output is correct
51 Correct 301 ms 7068 KB Output is correct
52 Correct 274 ms 7128 KB Output is correct
53 Correct 307 ms 7212 KB Output is correct
54 Correct 283 ms 7204 KB Output is correct
55 Correct 301 ms 7184 KB Output is correct
56 Correct 294 ms 7280 KB Output is correct
57 Correct 303 ms 7128 KB Output is correct
58 Correct 297 ms 7144 KB Output is correct
59 Correct 301 ms 7096 KB Output is correct
60 Correct 313 ms 7244 KB Output is correct
61 Correct 305 ms 7180 KB Output is correct
62 Correct 305 ms 7100 KB Output is correct
63 Correct 319 ms 7184 KB Output is correct
64 Correct 308 ms 7164 KB Output is correct
65 Correct 304 ms 7180 KB Output is correct
66 Correct 320 ms 7128 KB Output is correct
67 Correct 297 ms 7148 KB Output is correct
68 Correct 303 ms 7104 KB Output is correct
69 Correct 476 ms 18276 KB Output is correct
70 Correct 503 ms 18776 KB Output is correct
71 Correct 362 ms 7848 KB Output is correct
72 Correct 361 ms 7964 KB Output is correct
73 Correct 366 ms 7864 KB Output is correct
74 Correct 433 ms 18376 KB Output is correct
75 Correct 363 ms 7828 KB Output is correct
76 Correct 473 ms 18828 KB Output is correct
77 Correct 435 ms 18308 KB Output is correct
78 Correct 377 ms 7812 KB Output is correct
79 Correct 362 ms 7880 KB Output is correct
80 Correct 421 ms 18016 KB Output is correct
81 Correct 362 ms 7856 KB Output is correct
82 Correct 453 ms 18740 KB Output is correct
83 Correct 459 ms 18568 KB Output is correct
84 Correct 367 ms 7824 KB Output is correct
85 Correct 382 ms 7920 KB Output is correct
86 Correct 439 ms 18220 KB Output is correct
87 Correct 486 ms 18968 KB Output is correct
88 Correct 375 ms 8004 KB Output is correct
89 Correct 427 ms 18376 KB Output is correct
90 Correct 457 ms 18964 KB Output is correct
91 Correct 372 ms 7808 KB Output is correct
92 Correct 437 ms 18200 KB Output is correct
93 Correct 367 ms 7980 KB Output is correct
94 Correct 366 ms 7964 KB Output is correct
95 Correct 378 ms 7844 KB Output is correct
96 Correct 469 ms 18808 KB Output is correct
97 Correct 436 ms 18732 KB Output is correct
98 Correct 428 ms 13340 KB Output is correct
99 Correct 500 ms 18992 KB Output is correct
100 Correct 330 ms 18992 KB Output is correct