QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #181389 | #6353. Kth Lex Min Min Min Subpalindromes | ucup-team859 | AC ✓ | 1403ms | 98132kb | C++17 | 6.2kb | 2023-09-16 18:14:29 | 2023-09-16 18:14:29 |
Judging History
answer
#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
using ull = unsigned long long;
using ll = long long;
using namespace std;
constexpr ll INF = 2e18;
inline ll mul(ll a, ll b) {
if (INF / b <= a) {
return INF;
}
return a * b;
}
inline ll logpow(ll a, ll b) {
ll result = 1;
while (b > 0) {
if (b & 1) result = mul(a, result);
b >>= 1;
a = mul(a, a);
}
return result;
}
int main() {
#ifdef HOME
ifstream cin("input.in");
ofstream cout("output.out");
#endif
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int n, m;
ll k;
cin >> n >> m >> k;
if (n == 1) {
if (m < k) {
cout << -1;
} else {
cout << k;
}
return 0;
}
if (m == 1) {
if (k > 1) {
cout << -1;
return 0;
}
for (int i = 1; i <= n; i++) {
cout << 1 << " ";
}
return 0;
}
if (m == 2) {
if (n <= 10) {
vector<string> strings;
int result = 1e9;
auto Get = [](string str) {
int n = (int)str.size();
int cnt = 0;
for (int i = 0; i < n; i++) {
for (int j = i; j < n; j++) {
int l = i, r = j;
while (l < r && str[l] == str[r]) {
l++, r--;
}
if (l >= r) {
cnt++;
}
}
}
return cnt;
};
for (int mask = 0; mask < (1 << n); mask++) {
string str;
for (int i = 0; i < n; i++) {
if (mask & (1 << i)) {
str += '2';
} else {
str += '1';
}
}
int cnt = Get(str);
if (result > cnt) {
strings.clear();
result = cnt;
}
if (result == cnt) {
strings.push_back(str);
}
}
sort(strings.begin(), strings.end());
strings.resize(unique(strings.begin(), strings.end()) - strings.begin());
// cerr << strings.size() << "\n";
// for (auto str : strings) {
// cerr << str << " " << Get(str) << "\n";
// }
if ((int)strings.size() < k) {
cout << -1;
} else {
for (auto itr : strings[k - 1]) {
cout << itr << " ";
}
}
return 0;
}
vector<string> strings;
int result = (int) 1e9;
// 12212|112212112212|112
auto Get = [](string str) {
int n = (int)str.size();
int cnt = 0;
for (int i = 0; i < n; i++) {
for (int j = i; j < n && j < i + 15; j++) {
int l = i, r = j;
while (l < r && str[l] == str[r]) {
l++, r--;
}
cnt += (l >= r);
}
}
return cnt;
};
vector<string> seq = {"121122",
"122112",
"112122",
"112212",
"212211",
"211221",
"221211",
"221121"};
for (auto pref : seq) {
for (int len_pref = 0; len_pref < pref.size(); len_pref++) {
string str = pref.substr(pref.size() - len_pref, len_pref);
while ((int)str.size() < n) {
if ((int)str.size() + pref.size() <= n) {
str += pref;
} else {
str += pref.substr(0, n - (int)str.size());
}
}
assert ((int)str.size() == n);
int cnt = Get(str);
if (result > cnt) {
result = cnt;
strings.clear();
}
if (result == cnt) {
strings.push_back(str);
}
}
}
int size = (int)strings.size();
for (int i = 0; i < size; i++) {
auto s = strings[i];
reverse(s.begin(), s.end());
strings.push_back(s);
}
sort(strings.begin(), strings.end());
strings.resize(unique(strings.begin(), strings.end()) - strings.begin());
// cerr << strings.size() << "\n";
// for (auto itr : strings) {
// cerr << itr << " " << Get(itr) << "\n";
// }
if ((int)strings.size() < k) {
cout << -1;
} else {
for (auto itr : strings[k - 1]) {
cout << itr << " ";
}
}
return 0;
}
ll total = mul(m, mul(m - 1, logpow(m - 2, n - 2)));
if (total < k) {
cout << -1;
return 0;
}
vector<ll> v(n);
ll coef0 = mul(m - 1, logpow(m - 2, n - 2));
ll v0 = (k - 1) / coef0 + 1;
k -= (v0 - 1) * coef0;
v[0] = v0;
if (n > 1) {
ll coef1 = logpow(m - 2, n - 2);
ll v1 = (k - 1) / coef1 + 1;
k -= (v1 - 1) * coef1;
v[1] = (v1 < v0 ? v1 : v1 + 1);
for (int i = 2; i < n; i++) {
ll coef = logpow(m - 2, n - i - 1);
ll vi = (k - 1) / coef + 1;
k -= (vi - 1) * coef;
if (vi >= min(v[i - 1], v[i - 2])) {
vi++;
}
if (vi >= max(v[i - 1], v[i - 2])) {
vi++;
}
v[i] = vi;
}
}
for (auto itr : v) {
cout << itr << " ";
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3568kb
input:
1 1 1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
2 2 2
output:
2 1
result:
ok 2 number(s): "2 1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
3 3 3
output:
2 1 3
result:
ok 3 number(s): "2 1 3"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
9 9 8244353
output:
2 4 1 2 6 8 1 2 7
result:
ok 9 numbers
Test #5:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
10 7 998244353
output:
-1
result:
ok 1 number(s): "-1"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
3 1000 994253860
output:
998 244 353
result:
ok 3 number(s): "998 244 353"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
58 4 864691128455135232
output:
4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4
result:
ok 58 numbers
Test #8:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
58 4 864691128455135233
output:
-1
result:
ok 1 number(s): "-1"
Test #9:
score: 0
Accepted
time: 130ms
memory: 11108kb
input:
1000000 1000000 1000000000000000000
output:
1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...
result:
ok 1000000 numbers
Test #10:
score: 0
Accepted
time: 136ms
memory: 11208kb
input:
1000000 4 1000000000000000000
output:
1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...
result:
ok 1000000 numbers
Test #11:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
1 1 2
output:
-1
result:
ok 1 number(s): "-1"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
1 2 2
output:
2
result:
ok 1 number(s): "2"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
2 2 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
3 2 4
output:
2 1 1
result:
ok 3 number(s): "2 1 1"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
3 2 7
output:
-1
result:
ok 1 number(s): "-1"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
4 2 10
output:
2 2 1 2
result:
ok 4 number(s): "2 2 1 2"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
4 2 3
output:
1 2 1 1
result:
ok 4 number(s): "1 2 1 1"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
5 2 7
output:
2 1 1 2 1
result:
ok 5 number(s): "2 1 1 2 1"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
5 2 13
output:
-1
result:
ok 1 number(s): "-1"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
6 2 5
output:
1 2 2 1 1 2
result:
ok 6 numbers
Test #21:
score: 0
Accepted
time: 1392ms
memory: 97984kb
input:
1000000 2 3
output:
1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 ...
result:
ok 1000000 numbers
Test #22:
score: 0
Accepted
time: 1381ms
memory: 98128kb
input:
1000000 2 5
output:
1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 ...
result:
ok 1000000 numbers
Test #23:
score: 0
Accepted
time: 1403ms
memory: 98132kb
input:
1000000 2 7
output:
2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 ...
result:
ok 1000000 numbers
Test #24:
score: 0
Accepted
time: 1352ms
memory: 98128kb
input:
1000000 2 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
1 3 2
output:
2
result:
ok 1 number(s): "2"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
2 3 5
output:
3 1
result:
ok 2 number(s): "3 1"
Test #27:
score: 0
Accepted
time: 130ms
memory: 11036kb
input:
1000000 3 5
output:
3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 ...
result:
ok 1000000 numbers
Test #28:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
1000000 3 7
output:
-1
result:
ok 1 number(s): "-1"
Test #29:
score: 0
Accepted
time: 140ms
memory: 11224kb
input:
1000000 4 211106232532991
output:
1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...
result:
ok 1000000 numbers
Test #30:
score: 0
Accepted
time: 136ms
memory: 11032kb
input:
1000000 5 1000000000000000000
output:
1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...
result:
ok 1000000 numbers
Test #31:
score: 0
Accepted
time: 131ms
memory: 11044kb
input:
1000000 123123 1000000000000000000
output:
1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...
result:
ok 1000000 numbers
Test #32:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
6 1000000 1000000000000000000
output:
1 2 4 9 15 8
result:
ok 6 numbers
Test #33:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
4 1000000 1000000000000000000
output:
2 7 15 9
result:
ok 4 number(s): "2 7 15 9"
Test #34:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
3 1000000 999997000002000000
output:
1000000 999999 999998
result:
ok 3 number(s): "1000000 999999 999998"
Test #35:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
3 1000000 999997000002000001
output:
-1
result:
ok 1 number(s): "-1"