#include <bits/stdc++.h>
using namespace std;
#define fr first
#define sc second
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
long long n, sz, q, l, r, pw3[200069][2], ps[200069][2], sm[2];
const long long dv[] = {1000000007, 1000000009};
pair<long long, long long> ans;
bool bad;
char ch;
string s[3], cs, t0;
vector<string> ls;
map<char, long long> conv;
map<string, bool> ex;
map<long long, bool> hsh[2];
char crot(char a, char b)
{
if (a>b) swap(a, b);
if (a == b) return a;
if (a == 'I' && b == 'J') return 'O';
if (a == 'I' && b == 'O') return 'J';
return 'I';
}
string cross(string a, string b)
{
int i;
string c = "";
for (i=0; i<n; i++)
{
c += crot(a[i], b[i]);
}
return c;
}
long long calc(long long l, long long r, long long id)
{
//3^l+3^(l+1)+...+3^r
if (l == 0) return ps[r][id];
return (ps[r][id]-ps[l-1][id]+dv[id])%dv[id];
}
struct segtree
{
long long l, r, val[2], lz = -1;
segtree *le, *ri;
void bd(long long cl, long long cr)
{
l = cl;
r = cr;
if (cl == cr)
{
val[0] = conv[t0[cl-1]]*pw3[cl-1][0]%dv[0];
val[1] = conv[t0[cl-1]]*pw3[cl-1][1]%dv[1];
return;
}
long long md = (cl+cr)/2;
le = new segtree();
ri = new segtree();
le->bd(cl, md);
ri->bd(md+1, cr);
val[0] = (le->val[0]+ri->val[0])%dv[0];
val[1] = (le->val[1]+ri->val[1])%dv[1];
}
void prop()
{
if (lz != -1)
{
val[0] = calc(l-1, r-1, 0)*lz%dv[0];
val[1] = calc(l-1, r-1, 1)*lz%dv[1];
if (l != r)
{
le->lz = lz;
ri->lz = lz;
}
lz = -1;
}
}
void upd(long long ql, long long qr, long long x)
{
prop();
if (l>qr || r<ql) return;
if (l>=ql && r<=qr)
{
lz = x;
prop();
return;
}
le->upd(ql, qr, x);
ri->upd(ql, qr, x);
val[0] = (le->val[0]+ri->val[0])%dv[0];
val[1] = (le->val[1]+ri->val[1])%dv[1];
}
pair<long long, long long> qry(long long ql, long long qr)
{
prop();
if (l>qr || r<ql) return {0, 0};
if (l>=ql && r<=qr) return {val[0], val[1]};
pair<long long, long long> pl = le->qry(ql, qr), pr = ri->qry(ql, qr);
return {(pl.fr+pr.fr)%dv[0], (pl.sc+pr.sc)%dv[1]};
}
} *rt;
int main()
{
long long i, j, rr;
scanf("%lld", &n);
pw3[0][0] = pw3[0][1] = ps[0][0] = ps[0][1] = 1;
conv['I'] = 0;
conv['J'] = 1;
conv['O'] = 2;
for (i=1; i<n; i++)
{
for (j=0; j<=1; j++)
{
pw3[i][j] = pw3[i-1][j]*3%dv[j];
ps[i][j] = (ps[i-1][j]+pw3[i][j])%dv[j];
}
}
cin >> s[0] >> s[1] >> s[2];
ex[s[0]] = ex[s[1]] = ex[s[2]] = 1;
for (auto [ky, _]:ex) ls.push_back(ky);
for (; 1;)
{
sz = ls.size();
bad = 1;
for (i=0; i<sz; i++)
{
for (j=i+1; j<sz; j++)
{
cs = cross(ls[i], ls[j]);
if (!ex.count(cs))
{
ex[cs] = 1;
bad = 0;
i = sz+1;
break;
}
}
}
if (bad) break;
ls.push_back(cs);
}
for (auto el:ls)
{
for (j=0; j<=1; j++)
{
sm[j] = 0;
for (i=0; i<n; i++)
{
sm[j] += pw3[i][j]*conv[el[i]];
sm[j] %= dv[j];
}
hsh[j][sm[j]] = 1;
}
}
rt = new segtree();
scanf("%lld", &q);
for (rr=0; rr<=q; rr++)
{
if (rr == 0)
{
cin >> t0;
rt->bd(1, n);
}
else
{
scanf("%lld%lld %c", &l, &r, &ch);
rt->upd(l, r, conv[ch]);
}
ans = rt->qry(1, n);
if (hsh[0].count(ans.fr) && hsh[1].count(ans.sc)) printf("Yes\n");
else printf("No\n");
}
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:128:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
128 | for (auto [ky, _]:ex) ls.push_back(ky);
| ^
Main.cpp:113:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
113 | scanf("%lld", &n);
| ~~~~~^~~~~~~~~~~~
Main.cpp:164:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
164 | scanf("%lld", &q);
| ~~~~~^~~~~~~~~~~~
Main.cpp:174:18: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
174 | scanf("%lld%lld %c", &l, &r, &ch);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
49 ms |
2384 KB |
Output is correct |
2 |
Correct |
64 ms |
2400 KB |
Output is correct |
3 |
Correct |
62 ms |
2384 KB |
Output is correct |
4 |
Correct |
46 ms |
2388 KB |
Output is correct |
5 |
Correct |
54 ms |
2388 KB |
Output is correct |
6 |
Correct |
50 ms |
2324 KB |
Output is correct |
7 |
Correct |
50 ms |
2396 KB |
Output is correct |
8 |
Correct |
57 ms |
2388 KB |
Output is correct |
9 |
Correct |
61 ms |
2516 KB |
Output is correct |
10 |
Incorrect |
56 ms |
2388 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
49 ms |
2384 KB |
Output is correct |
2 |
Correct |
64 ms |
2400 KB |
Output is correct |
3 |
Correct |
62 ms |
2384 KB |
Output is correct |
4 |
Correct |
46 ms |
2388 KB |
Output is correct |
5 |
Correct |
54 ms |
2388 KB |
Output is correct |
6 |
Correct |
50 ms |
2324 KB |
Output is correct |
7 |
Correct |
50 ms |
2396 KB |
Output is correct |
8 |
Correct |
57 ms |
2388 KB |
Output is correct |
9 |
Correct |
61 ms |
2516 KB |
Output is correct |
10 |
Incorrect |
56 ms |
2388 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
49 ms |
2384 KB |
Output is correct |
2 |
Correct |
64 ms |
2400 KB |
Output is correct |
3 |
Correct |
62 ms |
2384 KB |
Output is correct |
4 |
Correct |
46 ms |
2388 KB |
Output is correct |
5 |
Correct |
54 ms |
2388 KB |
Output is correct |
6 |
Correct |
50 ms |
2324 KB |
Output is correct |
7 |
Correct |
50 ms |
2396 KB |
Output is correct |
8 |
Correct |
57 ms |
2388 KB |
Output is correct |
9 |
Correct |
61 ms |
2516 KB |
Output is correct |
10 |
Incorrect |
56 ms |
2388 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
49 ms |
2384 KB |
Output is correct |
2 |
Correct |
64 ms |
2400 KB |
Output is correct |
3 |
Correct |
62 ms |
2384 KB |
Output is correct |
4 |
Correct |
46 ms |
2388 KB |
Output is correct |
5 |
Correct |
54 ms |
2388 KB |
Output is correct |
6 |
Correct |
50 ms |
2324 KB |
Output is correct |
7 |
Correct |
50 ms |
2396 KB |
Output is correct |
8 |
Correct |
57 ms |
2388 KB |
Output is correct |
9 |
Correct |
61 ms |
2516 KB |
Output is correct |
10 |
Incorrect |
56 ms |
2388 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |