QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#648956 | #5466. Permutation Compression | hei_yu_bai | RE | 52ms | 3868kb | C++20 | 3.3kb | 2024-10-17 21:04:35 | 2024-10-17 21:04:36 |
Judging History
answer
#include<iostream>
using namespace std;
#include<vector>
#include<algorithm>
#include<set>
#include<cmath>
#include<numeric>
vector<int> bit;
void update(int p) {
for (int i = p; i < bit.size(); i += i & -i) {
bit[i]++;
}
}
int getsum(int p) {
int sum = 0;
for (int i = p; i > 0; i -= i & -i) {
sum += bit[i];
}
return sum;
}
int getsum(int l, int r) {
return getsum(r) - getsum(l - 1);
}
const int N = 2e5 + 10;
vector<int> Log(N);
void init() {
for (int i = 2; i < N; ++i) {
Log[i] = Log[i >> 1] + 1;
}
return;
}
vector<vector<int>> st;
int tag;
void build(vector<int>& t) {
int n = t.size(), logn = log2(n);
st.resize(n, vector<int>(logn + 1));
//tag = Log[n - 1];
for (int i = 1; i < n; ++i) st[i][0] = t[i];
for (int i = 1; i <= logn; ++i) {
int d = 1 << (i - 1);
for (int j = 1; j + (d << 1) - 1 < n; ++j) {
st[j][i] = max(st[j][i - 1], st[j + d][i - 1]);
}
}
return;
}
int query(int l, int r) {
int L = log2(r - l + 1);;
return max(st[l][L], st[r - (1 << L) + 1][L]);
}
template<class T>
struct ST
{
std::vector<std::vector<T>> f;
ST(std::vector<T>& a)
{
int n = a.size(), logn = std::__lg(n);
f.assign(n, std::vector<T>(logn + 1));
for (int i = 0; i < n; i++) f[i][0] = a[i];
for (int j = 0; j < logn; j++)
for (int i = 0; i + (1 << (j + 1)) - 1 < n; i++)
f[i][j + 1] = std::max(f[i][j], f[i + (1 << j)][j]);
}
T operator()(int l, int r) // [l, r)
{
int log = std::__lg(r - l);
return std::max(f[l][log], f[r - (1 << log)][log]);
}
};
void solve() {
int n, m, k;
cin >> n >> m >> k;
bit.resize(n + 1);
vector<int> a(n + 1), b(m + 1), p(n + 1);
for (int i = 1; i <= n; ++i) {
cin >> a[i];
p[a[i]] = i;
bit[i] = 0;
}
for (int i = 1; i <= m; ++i) cin >> b[i];
multiset<int> s;
s.insert(0);
for (int i = 1; i <= k; ++i) {
int v = 0;
cin >> v;
s.insert(v);
}
if (k < n - m) {
cout << "NO\n";
return;
}
int tp = 1;
for (int i = 1; i <= m; ++i) {
while (tp <= n && a[tp] != b[i]) ++tp;
}
if (tp == n + 1) {
cout << "NO\n";
return;
}
vector<bool> vis(n + 1);
vector<int> t(n + 1);
for (int i = 1; i <= m; ++i) {
vis[b[i]] = true;
t[p[b[i]]] = b[i];
}
ST<int> st(t);
build(t);
vector<int> l(n + 1), r(n + 1);
for (int i = 1; i <= n; ++i) {
if (!vis[i]) {
int tl = 0, tr = p[i];
while (tl + 1 < tr) {
int mid = (tl + tr) >> 1;
(query(mid, p[i]) > i ? tl : tr) = mid;
}
l[p[i]] = tl;
tl = p[i], tr = n + 1;
while (tl + 1 < tr) {
int mid = (tl + tr) >> 1;
(query(p[i], mid) > i ? tr : tl) = mid;
}
r[p[i]] = tr;
//cout << p[i] << " " << l[p[i]] << " " << r[p[i]] << "\n";
}
}
for (int i = n; i > 0; --i) {
if (!vis[i]) {
int j = p[i];
int q = getsum(l[j] + 1, r[j] - 1);
//cout << r[j] << " " << l[j] << " " << q << " " << r[j] - l[j] - 1 - q << "\n";
multiset<int>::iterator t = prev(s.upper_bound(r[j] - l[j] - 1 - q));
if (t == s.begin()) {
cout << "NO\n";
return;
}
s.erase(t);
update(j);
}
}
cout << "YES\n";
return;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
init();
int t = 1;
cin >> t;
while (t--) solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3764kb
input:
3 5 2 3 5 1 3 2 4 5 2 1 2 4 5 5 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 3 2 2 3 1 2 3 2 2 3
output:
YES YES NO
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
100 2 1 2 2 1 2 1 1 2 1 2 1 2 1 2 2 2 1 1 1 2 1 2 6 1 5 3 4 2 5 6 1 3 5 2 1 1 1 6 1 6 2 1 3 6 4 5 1 4 1 2 2 1 4 3 3 2 2 1 3 2 1 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 1 2 1 2 4 4 3 2 1 3 4 2 1 3 4 4 3 1 1 1 1 1 1 1 6 5 1 6 2 5 4 3 1 6 2 4 3 1 4 1 1 1 1 1 1 6 5 3 3 6 1 4 5 2 3 6 1 4 2 3 3 4 4 3 4 3 4 ...
output:
YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES NO NO NO YES YES NO NO YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES NO YES YES YES YES YES YES YES NO YES YES YES YES YE...
result:
ok 100 lines
Test #3:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
99 6 1 6 1 5 3 4 2 6 1 1 2 1 1 1 6 1 1 1 1 1 1 4 1 3 3 4 1 2 1 1 1 2 2 2 1 2 1 2 1 2 1 1 1 1 1 1 2 1 2 1 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 3 2 2 3 2 1 2 1 1 2 3 3 1 2 3 1 2 3 1 1 6 1 5 3 4 2 5 6 1 3 4 2 1 1 1 6 4 4 1 6 5 2 3 4 1 2 3 4 5 4 4 6 2 1 1 1 2 1 1 6 5 1 2 1 4 5 6 3 2 1 4 6 3 2 6 3 6 5 6 2 1 3...
output:
YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO NO YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES NO NO YES YES YES NO YES YES YES NO YES YES NO YES NO YES NO YES YES YES YES YES YES NO YES NO NO YES YES YES YE...
result:
ok 99 lines
Test #4:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
98 6 1 6 6 1 4 5 2 3 3 1 2 2 1 1 6 4 3 2 2 3 4 1 2 1 3 3 4 1 1 1 1 1 1 6 1 6 6 4 3 1 2 5 1 3 1 3 1 1 5 1 1 1 1 1 1 6 4 4 3 4 1 2 5 6 3 4 1 2 2 4 3 1 6 5 1 4 5 3 6 1 2 4 5 3 1 2 6 1 1 1 1 1 1 5 1 4 1 3 2 4 5 1 5 3 4 4 6 3 4 1 4 2 3 6 5 1 2 5 5 4 6 5 4 1 3 2 1 4 3 2 1 1 1 1 1 1 1 1 1 6 3 5 5 1 3 6 4 2...
output:
YES NO YES YES YES YES YES YES NO NO YES YES NO YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES NO YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES NO YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES NO Y...
result:
ok 98 lines
Test #5:
score: 0
Accepted
time: 41ms
memory: 3868kb
input:
60000 1 1 1 1 1 1 1 1 1 1 1 1 3 2 1 2 3 1 2 1 2 3 3 1 1 2 3 1 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 2 3 2 1 3 2 1 1 1 2 2 1 2 1 2 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 1 1 1 1 1 1 1 3 1 3 2 3 1 1 2 3 2 3 3 2 2 3 1 2 3 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 3 3 2 1 2 1 1 2 1 3 2 2 1 3 2 3 2 3 ...
output:
YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES...
result:
ok 60000 lines
Test #6:
score: 0
Accepted
time: 40ms
memory: 3852kb
input:
50000 1 1 1 1 1 1 4 3 4 1 2 3 4 1 2 3 2 3 4 4 1 1 1 1 1 1 3 2 1 3 1 2 1 2 3 4 1 4 2 1 4 3 2 4 4 3 4 3 1 2 1 2 3 2 3 3 4 1 3 4 2 1 3 1 3 2 4 4 4 2 4 1 2 3 4 1 2 3 3 4 3 1 2 2 1 3 3 1 3 4 2 2 4 3 1 2 3 1 2 1 1 1 1 1 1 1 4 3 1 1 2 3 4 1 2 4 4 4 1 4 4 3 2 1 4 2 1 1 2 3 3 1 2 1 3 2 1 3 1 4 3 2 1 3 2 4 1 ...
output:
YES YES YES YES NO NO YES YES NO YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES Y...
result:
ok 50000 lines
Test #7:
score: 0
Accepted
time: 37ms
memory: 3744kb
input:
40000 3 2 1 3 2 1 2 1 3 5 5 1 5 2 1 3 4 5 2 1 3 4 5 4 1 3 1 4 3 2 1 1 1 1 5 3 3 5 3 4 1 2 3 1 2 1 2 1 3 1 2 1 3 2 1 3 1 2 2 2 1 2 1 2 2 2 5 4 2 5 4 2 1 3 4 2 1 3 1 2 1 1 1 1 1 1 3 1 2 1 2 3 1 2 1 2 1 1 1 2 1 2 5 5 2 5 2 3 1 4 5 2 3 1 4 1 1 5 3 4 4 5 1 2 3 4 2 3 1 1 1 3 1 1 1 1 1 1 5 4 2 2 1 4 5 3 2 ...
output:
YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES NO NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES YES YES NO YES YES YES NO YES NO YES YES NO YES YES YES YES YES NO NO YES YES YES YES ...
result:
ok 40000 lines
Test #8:
score: 0
Accepted
time: 41ms
memory: 3732kb
input:
40000 6 3 5 3 6 2 5 1 4 3 2 1 1 2 3 6 1 4 3 1 1 3 4 2 1 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 6 2 6 4 1 3 2 6 5 2 5 6 5 5 3 5 5 6 6 2 3 6 2 5 1 4 3 6 2 5 1 4 6 4 2 2 1 1 2 1 2 2 2 2 1 1 2 1 2 1 3 3 3 2 1 3 2 1 3 2 3 1 6 4 5 5 1 3 4 6 2 5 1 3 2 5 5 4 3 4 6 2 4 4 3 5 6 2 1 4 3 2 2 1 1 3 1 2 2 3 1 1 2 2 3 3 1 ...
output:
YES YES YES YES NO YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES NO YES YES YES YES YES YES YES YES YE...
result:
ok 40000 lines
Test #9:
score: 0
Accepted
time: 43ms
memory: 3860kb
input:
40000 7 5 2 6 4 2 1 3 5 7 6 4 2 1 3 3 1 2 2 2 2 1 2 1 1 1 4 1 4 3 4 2 1 1 3 4 2 1 3 2 2 1 3 2 1 2 1 3 5 2 4 4 3 2 5 1 2 1 2 2 2 5 7 1 7 2 7 5 6 1 4 3 3 3 3 1 1 3 1 6 7 7 2 3 7 2 5 1 6 4 3 7 2 5 1 6 4 5 6 6 2 6 2 6 3 4 1 5 2 1 6 3 4 5 3 5 3 1 3 3 1 2 1 2 3 3 7 5 3 1 7 5 4 6 3 2 5 4 6 3 2 6 1 1 6 3 5 ...
output:
YES YES YES YES YES YES YES YES YES YES YES YES YES NO NO YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES NO YES YES NO YES YES YES YES YES YES YES NO YES YES YES NO YES YES YES YES YES YES YES YES NO YES YES YES YES YES NO YES YES NO YES YES NO YES YES ...
result:
ok 40000 lines
Test #10:
score: 0
Accepted
time: 42ms
memory: 3704kb
input:
40000 4 2 4 4 1 3 2 4 2 3 4 4 3 6 3 5 6 2 4 5 1 3 2 1 3 1 1 2 6 1 8 5 6 1 7 2 8 6 5 3 4 1 7 5 2 3 3 1 2 8 7 8 6 6 1 3 4 6 1 5 2 3 4 6 1 5 2 6 8 7 2 6 8 5 7 1 3 2 4 6 5 7 1 3 2 4 8 7 1 1 1 1 1 1 4 3 3 2 4 3 1 2 4 3 1 2 4 4 3 3 1 3 4 2 1 3 2 4 4 3 2 2 1 1 2 1 2 2 7 5 3 5 2 3 7 1 6 4 2 3 1 6 4 7 5 6 7 ...
output:
NO YES NO YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES NO YES NO...
result:
ok 40000 lines
Test #11:
score: 0
Accepted
time: 48ms
memory: 3760kb
input:
40000 2 2 2 1 2 1 2 1 1 8 2 6 1 3 5 4 6 7 2 8 3 2 2 8 6 8 7 8 8 5 4 3 1 2 7 8 5 4 6 3 1 2 5 4 8 7 7 7 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 1 2 1 2 1 8 1 7 5 3 8 4 1 7 6 2 2 3 5 2 1 1 1 1 9 8 2 7 8 1 6 4 5 9 3 2 7 8 1 6 4 5 3 2 2 9 2 1 2 2 1 2 1 1 4 1 4 3 1 4 2 3 1 2 1 2 3 ...
output:
YES NO NO YES YES NO NO YES YES YES YES YES YES YES YES NO YES NO YES YES YES YES NO YES YES YES NO YES NO NO NO YES YES NO YES YES YES YES NO YES NO YES YES YES YES YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES YES NO YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES NO YES YES...
result:
ok 40000 lines
Test #12:
score: 0
Accepted
time: 51ms
memory: 3712kb
input:
40000 1 1 1 1 1 1 7 5 4 7 4 6 2 5 1 3 7 4 6 2 1 1 2 3 7 7 4 3 7 4 1 3 2 5 6 1 3 2 5 6 5 7 7 1 6 5 4 3 1 7 2 6 6 4 2 3 1 1 1 4 3 4 2 4 3 1 2 3 1 2 3 3 3 3 1 3 3 1 2 2 1 3 3 1 1 1 1 1 1 2 1 1 1 2 1 2 9 2 8 9 8 6 4 2 1 5 7 3 4 1 1 2 2 3 5 4 2 9 1 1 1 1 1 1 4 2 3 2 4 3 1 2 1 3 2 4 3 3 3 1 3 2 1 3 2 3 3 ...
output:
YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES NO NO YES YES NO YES YES YES YES NO NO YES YES YES YES YES YES YES YES YES NO YES NO NO NO YES NO YES YES YES NO YES YES YES YES YES NO NO YES YES YES YES YES YES YES YES NO YES NO YES YES YES NO YES YES YES YES YE...
result:
ok 40000 lines
Test #13:
score: 0
Accepted
time: 47ms
memory: 3792kb
input:
40000 6 3 5 4 3 2 5 1 6 2 3 1 2 1 1 6 6 2 1 1 1 2 1 1 6 5 4 1 3 5 6 2 4 1 3 6 2 4 2 2 6 6 8 2 7 5 8 4 7 1 3 2 6 6 2 1 3 1 1 1 1 7 1 1 1 1 1 1 11 6 5 2 4 11 6 9 3 8 1 7 5 10 2 4 3 6 8 5 3 1 4 1 1 8 3 8 6 4 8 5 1 3 7 2 4 1 2 2 2 1 3 3 4 8 4 2 1 2 2 1 1 2 2 5 5 1 1 5 3 4 2 1 5 3 4 2 5 9 2 9 8 7 5 6 2 4...
output:
NO YES YES NO YES NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES NO YES YES YES YES NO YES NO NO YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES NO YES NO YES YES YES YES YES YES NO YES YES YES YES YES YES NO NO YES NO YES YES YES YES...
result:
ok 40000 lines
Test #14:
score: 0
Accepted
time: 52ms
memory: 3752kb
input:
40000 5 4 3 1 5 4 2 3 1 4 2 3 1 5 4 12 1 12 8 11 5 1 7 3 10 6 4 9 12 2 4 3 6 2 1 1 2 9 11 12 10 11 12 2 2 1 2 1 2 1 2 4 3 4 2 3 4 1 2 3 1 2 2 1 3 2 2 1 2 1 2 1 2 6 4 5 2 5 3 4 1 6 2 3 1 6 3 6 6 3 6 4 4 1 3 4 1 2 3 4 1 2 2 3 1 2 3 2 1 1 3 3 11 8 4 11 3 10 5 1 6 4 8 7 9 2 11 3 1 6 4 7 9 2 10 8 11 10 1...
output:
YES NO YES YES YES YES YES NO NO YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES YES YES NO YES YES YES YES YES YES YES YES YES YES NO YES YES NO YES YES YES YES NO YES YES NO YES YES YES YES NO YES YES YES YES NO YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES NO YES YE...
result:
ok 40000 lines
Test #15:
score: 0
Accepted
time: 21ms
memory: 3780kb
input:
10000 10 5 6 5 6 9 10 7 1 3 2 4 8 5 6 9 1 2 8 9 9 10 10 10 10 6 5 5 6 7 2 4 8 10 9 1 3 5 2 8 9 1 3 9 7 7 10 10 5 3 4 3 5 4 1 2 4 1 2 3 5 4 5 6 3 5 6 1 2 5 4 3 1 4 3 4 5 5 5 4 10 8 5 7 3 1 5 9 8 2 6 10 4 3 1 5 9 8 2 6 4 6 1 4 8 10 10 6 4 7 1 4 5 8 9 3 10 2 6 1 4 8 3 2 6 2 1 2 1 10 3 10 9 6 4 7 2 5 8 ...
output:
NO NO NO NO YES YES NO YES YES YES NO NO YES YES YES NO NO YES YES YES YES NO YES YES NO YES YES YES YES YES YES YES YES YES NO YES YES YES NO YES YES YES NO YES YES NO YES YES YES YES NO NO YES YES YES NO NO NO YES YES YES YES YES YES NO YES YES NO YES YES YES NO YES NO NO NO YES YES NO YES YES YES...
result:
ok 10000 lines
Test #16:
score: 0
Accepted
time: 31ms
memory: 3728kb
input:
10000 15 15 1 15 6 5 8 3 2 12 9 10 1 4 7 14 11 13 15 6 5 8 3 2 12 9 10 1 4 7 14 11 13 10 8 3 6 5 6 2 4 1 3 8 7 6 1 7 7 7 8 8 8 7 19 1 19 7 10 13 3 5 16 12 17 19 8 1 2 11 18 6 14 9 15 4 1 4 8 1 1 5 1 1 3 2 5 2 2 1 17 18 18 18 17 18 20 11 12 5 14 20 19 1 10 8 3 13 15 4 2 16 18 7 6 17 9 11 12 5 14 10 8...
output:
YES NO NO NO YES YES YES YES NO NO NO NO YES NO NO NO NO YES NO YES NO NO YES YES YES NO NO NO YES NO NO NO YES YES YES YES YES YES YES NO YES YES YES NO YES NO YES YES YES YES NO NO YES YES YES NO YES NO YES YES YES YES YES YES YES NO YES YES YES NO NO NO NO NO YES NO NO YES YES YES NO NO YES YES Y...
result:
ok 10000 lines
Test #17:
score: -100
Runtime Error
input:
10000 4 3 4 1 4 3 2 1 3 2 2 4 3 4 1 1 1 1 1 1 79 70 9 73 34 21 66 52 46 72 32 63 44 48 11 77 40 15 51 50 67 70 53 62 3 31 69 20 41 28 30 54 10 7 19 24 74 5 4 59 1 18 37 68 25 23 58 6 33 65 55 43 39 17 12 49 35 56 8 75 64 45 14 36 22 13 57 60 27 71 61 42 9 76 2 16 79 78 26 38 47 29 73 34 21 66 52 46 ...