QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#120200 | #6353. Kth Lex Min Min Min Subpalindromes | hos_lyric | AC ✓ | 89ms | 18856kb | C++14 | 3.8kb | 2023-07-06 14:55:43 | 2023-07-06 14:56:00 |
Judging History
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
vector<string> PRE[16];
void experiment() {
for (int n = 1; n < 16; ++n) {
int mn = n * n + 1;
vector<string> ss;
for (int p = 0; p < 1 << n; ++p) {
string s(n, '?');
for (int i = 0; i < n; ++i) s[n - 1 - i] = "01"[p >> i & 1];
auto isPalin = [&](int i, int j) -> bool {
--j;
for (; i < j; ++i, --j) {
if (s[i] != s[j]) return false;
}
return true;
};
int cnt = 0;
for (int i = 0; i < n; ++i) for (int j = i + 1; j <= n; ++j) {
if (isPalin(i, j)) {
++cnt;
}
}
if (chmin(mn, cnt)) ss.clear();
if (mn == cnt) ss.push_back(s);
}
// cerr << n << ": " << mn << " " << ss.size() << endl;
for (const auto &s : ss) {
PRE[n].push_back(s);
// cout << s << endl;
}
}
}
/*
15: 28 12
001011001011001
001101001101001
010011010011010
010110010110010
011001011001011
011010011010011
100101100101100
100110100110100
101001101001101
101100101100101
110010110010110
110100110100110
*/
vector<Int> solve(int N, Int M, Int K) {
if (M == 1) {
if (K > 1) {
return {};
}
return vector<Int>(N, 0);
} else if (M == 2) {
const int len = min(N, 6);
if (K > (int)PRE[len].size()) {
return {};
}
vector<Int> ans(N, -1);
for (int i = 0; i < N; ++i) {
ans[i] = PRE[len][K - 1][i % 6] - '0';
}
return ans;
} else {
vector<Int> prod(N + 1);
prod[N] = 1;
for (int i = N; --i >= 0; ) {
const __int128 b = ((i == 0) ? M : (i == 1) ? (M - 1) : (M - 2));
prod[i] = min<__int128>(b * prod[i + 1], K + 1);
}
if (K > prod[0]) {
return {};
}
vector<Int> ans(N, -1);
Int k = K;
for (int i = 0; i < N; ++i) {
const Int q = (k - 1) / prod[i + 1];
k -= prod[i + 1] * q;
ans[i] = q;
if (i == 0) {
//
} else if (i == 1) {
if (ans[i - 1] <= ans[i]) ++ans[i];
} else {
const Int a = min(ans[i - 2], ans[i - 1]);
const Int b = max(ans[i - 2], ans[i - 1]);
if (a <= ans[i]) ++ans[i];
if (b <= ans[i]) ++ans[i];
}
}
return ans;
}
}
int main() {
// needed
experiment();
int N;
Int M, K;
for (; ~scanf("%d%lld%lld", &N, &M, &K); ) {
const auto ans = solve(N, M, K);
if (!ans.empty()) {
for (int i = 0; i < N; ++i) {
if (i) printf(" ");
printf("%lld", ans[i] + 1);
}
puts("");
} else {
puts("-1");
}
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 29ms
memory: 3744kb
input:
1 1 1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 28ms
memory: 3636kb
input:
2 2 2
output:
2 1
result:
ok 2 number(s): "2 1"
Test #3:
score: 0
Accepted
time: 29ms
memory: 3632kb
input:
3 3 3
output:
2 1 3
result:
ok 3 number(s): "2 1 3"
Test #4:
score: 0
Accepted
time: 29ms
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: 29ms
memory: 3516kb
input:
10 7 998244353
output:
-1
result:
ok 1 number(s): "-1"
Test #6:
score: 0
Accepted
time: 29ms
memory: 3700kb
input:
3 1000 994253860
output:
998 244 353
result:
ok 3 number(s): "998 244 353"
Test #7:
score: 0
Accepted
time: 29ms
memory: 3704kb
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: 29ms
memory: 3504kb
input:
58 4 864691128455135233
output:
-1
result:
ok 1 number(s): "-1"
Test #9:
score: 0
Accepted
time: 86ms
memory: 18844kb
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: 86ms
memory: 18856kb
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: 29ms
memory: 3580kb
input:
1 1 2
output:
-1
result:
ok 1 number(s): "-1"
Test #12:
score: 0
Accepted
time: 25ms
memory: 3668kb
input:
1 2 2
output:
2
result:
ok 1 number(s): "2"
Test #13:
score: 0
Accepted
time: 28ms
memory: 3648kb
input:
2 2 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #14:
score: 0
Accepted
time: 25ms
memory: 3692kb
input:
3 2 4
output:
2 1 1
result:
ok 3 number(s): "2 1 1"
Test #15:
score: 0
Accepted
time: 29ms
memory: 3452kb
input:
3 2 7
output:
-1
result:
ok 1 number(s): "-1"
Test #16:
score: 0
Accepted
time: 29ms
memory: 3748kb
input:
4 2 10
output:
2 2 1 2
result:
ok 4 number(s): "2 2 1 2"
Test #17:
score: 0
Accepted
time: 29ms
memory: 3640kb
input:
4 2 3
output:
1 2 1 1
result:
ok 4 number(s): "1 2 1 1"
Test #18:
score: 0
Accepted
time: 29ms
memory: 3640kb
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: 25ms
memory: 3580kb
input:
5 2 13
output:
-1
result:
ok 1 number(s): "-1"
Test #20:
score: 0
Accepted
time: 29ms
memory: 3748kb
input:
6 2 5
output:
1 2 2 1 1 2
result:
ok 6 numbers
Test #21:
score: 0
Accepted
time: 78ms
memory: 10796kb
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: 76ms
memory: 11136kb
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: 77ms
memory: 11004kb
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: 25ms
memory: 3456kb
input:
1000000 2 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #25:
score: 0
Accepted
time: 25ms
memory: 3644kb
input:
1 3 2
output:
2
result:
ok 1 number(s): "2"
Test #26:
score: 0
Accepted
time: 25ms
memory: 3644kb
input:
2 3 5
output:
3 1
result:
ok 2 number(s): "3 1"
Test #27:
score: 0
Accepted
time: 85ms
memory: 18712kb
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: 28ms
memory: 11140kb
input:
1000000 3 7
output:
-1
result:
ok 1 number(s): "-1"
Test #29:
score: 0
Accepted
time: 85ms
memory: 18844kb
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: 89ms
memory: 18844kb
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: 81ms
memory: 18800kb
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: 29ms
memory: 3704kb
input:
6 1000000 1000000000000000000
output:
1 2 4 9 15 8
result:
ok 6 numbers
Test #33:
score: 0
Accepted
time: 29ms
memory: 3688kb
input:
4 1000000 1000000000000000000
output:
2 7 15 9
result:
ok 4 number(s): "2 7 15 9"
Test #34:
score: 0
Accepted
time: 29ms
memory: 3632kb
input:
3 1000000 999997000002000000
output:
1000000 999999 999998
result:
ok 3 number(s): "1000000 999999 999998"
Test #35:
score: 0
Accepted
time: 29ms
memory: 3480kb
input:
3 1000000 999997000002000001
output:
-1
result:
ok 1 number(s): "-1"