QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#189765 | #7506. StrCartesian | ucup-team1209 | TL | 7292ms | 225264kb | C++14 | 7.0kb | 2023-09-27 21:11:22 | 2023-09-27 21:11:23 |
Judging History
answer
#include <bits/stdc++.h>
#define cs const
#define pb push_back
using namespace std;
using pi = pair <int, int> ;
using ll = long long;
mt19937_64 rnd(1);
cs int N = 1e5 + 5;
int n, m;
string A;
int p[N], len[N], skip[N];
namespace SA {
cs int N = 2e6 + 5;
int sa[N], tmp[N << 1], rk[N << 1], y[N], n, m;
int st[21][N];
void Sort() {
static int c[N];
for(int i = 0; i <= m; i++) c[i] = 0;
for(int i = 1; i <= n; i++) c[rk[i]] ++;
for(int i = 1; i <= m; i++) c[i] += c[i - 1];
for(int i = n; i; i--) sa[c[rk[y[i]]]--] = y[i];
}
void work(string a) {
n = a.length(), m = 128;
for(int i = 1; i <= n; i++)
rk[i] = a[i - 1], y[i] = i;
Sort();
for(int k = 1; k <= n; k <<= 1) {
int ret = 0;
for(int i = n - k + 1; i <= n; i++) y[++ ret] = i;
for(int i = 1; i <= n; i++) if(sa[i] > k) y[++ ret] = sa[i] - k;
Sort();
swap(rk, tmp);
rk[sa[1]] = 1;
int num = 1;
for(int i = 2; i <= n; i++) {
if(tmp[sa[i]] == tmp[sa[i - 1]] && tmp[sa[i] + k] == tmp[sa[i - 1] + k])
rk[sa[i]] = num;
else
rk[sa[i]] = ++ num;
}
if(num == n) break;
m = num;
}
int k = 0;
for(int i = 1;i <= n; i++) {
if(rk[i] == 1) continue;
int j = sa[rk[i] - 1]; if(k) k--;
while(i + k <= n && j + k <= n && a[i + k - 1] == a[j + k - 1]) k++;
st[0][rk[i]] = k;
}
for(int i = 1; i < 21; i++)
for(int j = 1; j + (1 << i) - 1 <= n; j++)
st[i][j] = min(st[i - 1][j], st[i - 1][j + (1 << (i - 1))]);
}
int lcp(int x, int y) {
if(x == y) return 1e6;
x = rk[x], y = rk[y];
if(x > y) swap(x, y); ++ x;
int z = __lg(y - x + 1);
return min(st[z][x], st[z][y - (1 << z) + 1]);
}
}
int check(int a, int b) {
int l = SA :: lcp(p[a], p[b]);
if(l < len[a] && l < len[b]) return SA :: rk[p[a]] < SA :: rk[p[b]];
return len[a] < len[b] || (len[a] == len[b] && a < b);
}
vector <string> aa, bb;
int check2(int a, int b, int s, int f) {
// string c = aa[a] + bb[s];
// string d = aa[s] + bb[f];
// return c < d || (c == d && a < s);
if(a == s) return check(b, f);
bool o = (len[a] + len[b] < len[s] + len[f])
|| (len[a] + len[b] == len[s] + len[f] && a < s);
int l = SA :: lcp(p[a], p[s]);
if(l < len[a] && l < len[s])
return SA :: rk[p[a]] < SA :: rk[p[s]];
if(len[a] + len[b] <= len[s]) {
int res = len[s] - len[a];
l = SA :: lcp (p[s] + len[a], p[b]);
if(l < len[b] && l < res) return SA :: rk[p[b]] < SA :: rk[p[s] + len[a]];
return 1;
}
if(len[s] + len[f] <= len[a]) {
int res = len[a] - len[s];
l = SA :: lcp(p[a] + len[s], p[f]);
if(l < res && l < len[f]) return SA :: rk[p[a] + len[s]] < SA :: rk[p[f]];
return 0;
}
if(len[a] < len[s]) {
int res = len[s] - len[a];
l = SA :: lcp(p[s] + len[a], p[b]);
if(l < res && l < len[b]) return SA :: rk[p[b]] < SA :: rk[p[s] + len[a]];
l = SA :: lcp(p[b] + res, p[f]);
if(l < len[b] - res && l < len[f]) return SA :: rk[p[b] + res] < SA :: rk[p[f]];
return o;
}
// len[a] >= len[s]
int res = len[a] - len[s];
l = SA :: lcp(p[a] + len[s], p[f]);
if(l < res && l < len[f]) return SA :: rk[p[a] + len[s]] < SA :: rk[p[f]];
l = SA :: lcp(p[b], p[f] + res);
if(l < len[f] - res && l < len[b]) return SA :: rk[p[b]] < SA :: rk[p[f] + res];
return o;
}
ll calc(int s, int f, vector <int> & l, vector <int> & r, cs vector <int> & pl, cs vector <int> & pr, ll & k) {
vector <int> mid(n + 1);
ll ans = 0;
assert(1 <= s && s <= n);
assert(1 <= f && f <= m);
for(int i = 1;i <= n; i++)
if(l[i] <= r[i]) {
if(i == s) {
mid[i] = f;
continue;
}
int L = l[i], R = r[i];
if(check2(pl[i], pr[R] + n, pl[s], pr[f] + n)) {
mid[i] = R;
continue;
}
while(L < R) {
int mi = (L + R + 1) >> 1;
if(check2(pl[i], pr[mi] + n, pl[s], pr[f] + n)) {
L = mi;
}
else {
R = mi - 1;
}
}
if(check2(pl[i], pr[L] + n, pl[s], pr[f] + n)) mid[i] = L;
else mid[i] = L - 1;
}
for(int i = 1; i <= n; i++)
if(l[i] <= r[i]) ans += mid[i] - l[i] + 1;
if(ans <= k) {
k -= ans;
for(int i = 1; i <= n; i++)
if(l[i] <= r[i]) l[i] = mid[i] + 1;
}
else {
for(int i = 1; i <= n; i++)
if(l[i] <= r[i]) r[i] = mid[i];
}
for(int i = 1; i <= n; i++) {
assert(l[i] <= r[i] || r[i] == l[i] - 1);
}
return ans;
}
int main() {
#ifdef zqj
freopen("3.in","r",stdin);
#endif
ios::sync_with_stdio(false),cin.tie(0);
cin >> n >> m;
for(int i = 1; i <= n; i++) {
string a;
cin >> a;
int l = a.length();
len[i] = l;
A += a;
}
p[0] = 1;
for(int i = 1; i <= n; i++)
p[i] = p[i - 1] + len[i - 1];
for(int i = 1; i <= m; i++) {
string b;
cin >> b;
int l = b.length();
len[i + n] = l;
A += b;
}
for(int i = n + 1; i <= n + m; i++)
p[i] = p[i - 1] + len[i - 1];
SA :: work(A);
vector <int> pl(n + 1), pr(m + 1);
for(int i = 1; i <= n; i++) pl[i] = i;
for(int i = 1; i <= m; i++) pr[i] = i;
sort(pl.begin() + 1, pl.end(),
[](cs int & x, cs int & y) {
return check(x, y);
});
sort(pr.begin() + 1, pr.end(),
[](cs int & x, cs int & y) {
return check(x + n, y + n);
});
int q;
cin >> q;
for(int T = 0; T < q; T++) {
vector <int> l(n + 1), r(n + 1);
for(int i = 1; i <= n; i++) r[i] = m, l[i] = 1;
ll k;
cin >> k;
int anss = 0, ansf = 0;
while(1) {
ll siz = 0;
for(int i = 1; i <= n; i++)
if(l[i] <= r[i]) siz += r[i] - l[i] + 1;
ll t = rnd() % siz + 1;
int s = 0, f = 0;
for(int i = 1; i <= n; i++) if(l[i] <= r[i]) {
if(t <= r[i] - l[i] + 1) {
s = i, f = l[i] + t - 1;
break;
}
t -= r[i] - l[i] + 1;
}
anss = pl[s], ansf = pr[f];
if(siz == 1) {
break;
}
ll num = calc(s, f, l, r, pl, pr, k);
// cout << k << ' ' << num << ' ' << pl[s] << ' ' << pr[f] <<endl;
if(k == 0) break;
}
cout << anss << ' ' << ansf << '\n';
// cout<<aa[anss]<<endl<<bb[ansf]<<endl<<aa[anss]<<endl<<bb[19018]<<endl;
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 4ms
memory: 48544kb
input:
2 3 a ab a aa ba 2 3 4
output:
1 3 2 1
result:
ok Correct Answer
Test #2:
score: 0
Accepted
time: 13ms
memory: 60912kb
input:
27 28 ptdtljwzjbyctrjetnossaiogcfce kmuwnsxjenpjybcwrecoqddbltzvnkzzrxvne lsbqkpbgihqahpotzrnggqrompohf ixonxrpixmurqgdtedhavpawmddfw ruhqnxhvucv fvarlrf uyxxjzjf tlzrxaykw kldatopsv fywmszxti yraazxvbfebdhekphdrqhvpmferaghezebm dovtqdvdd waohxsasgl biakvxhqx aeyzaqum repmbqtrvwd dvqojkduc sjxapwnyz...
output:
23 1 2 27 4 11 2 11 21 9 11 13 7 6 27 1 5 26 17 3 21 23 1 10 6 25 13 5 17 20 22 22 1 5 23 21 10 23 3 18 10 14 16 14 18 5 22 26 14 6 12 22 19 17 14 17 23 28 10 20 26 15 27 6 19 28 16 27 21 25 16 1 6 8 10 20 12 19 1 10 17 10 14 14 18 19 15 27 10 9 9 27 4 19 8 1 17 7 21 1 17 26 26 13 22 13 27 7 2 28 15...
result:
ok Correct Answer
Test #3:
score: 0
Accepted
time: 7292ms
memory: 225264kb
input:
21673 22789 osjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwnyzosjxapwnyaosjxapwn...
output:
11748 7566 13026 16461 9916 11268 12937 6138 20884 12212 310 19018 14665 17118 7698 15274 18832 22061 7551 10949 12970 7192 1098 9710 19691 12422 5351 11239 14696 2061 2889 12319 8909 10800 6739 1691 19504 5705 599 16293 2991 6114 20067 16922 11544 17617 7562 4195 7364 20824 19750 22736 15334 22205 ...
result:
ok Correct Answer
Test #4:
score: -100
Time Limit Exceeded
input:
42793 43577 osjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjyosjxosjy...
output:
478 23079 19578 5700 32327 37245 23174 34890 8775 43551 33235 7846 40699 41435 24607 32335 10681 5081 40664 38308 4711 11678 31506 13791 13592 7796 9099 15409 35 36153 12575 30943 1418 37944 18258 11644 4315 19248 29431 9382 9938 30089 16317 36775 25241 10476 27724 29981 33560 26458 311 26256 24402 ...