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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#280409 | #7778. Turning Permutation | ucup-team1469# | WA | 1ms | 3512kb | C++17 | 4.5kb | 2023-12-09 15:52:31 | 2023-12-09 15:52:31 |
Judging History
answer
#ifndef LOCAL
#define FAST_IO
#endif
// ============
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i)
#define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)
using namespace std;
using u32 = unsigned int;
using u64 = unsigned long long;
using i32 = signed int;
using i64 = signed long long;
using f64 = double;
using f80 = long double;
template <typename T>
using Vec = vector<T>;
template <typename T>
bool chmin(T &x, const T &y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
if (x < y) {
x = y;
return true;
}
return false;
}
#ifdef INT128
using u128 = __uint128_t;
using i128 = __int128_t;
istream &operator>>(istream &is, i128 &x) {
i64 v;
is >> v;
x = v;
return is;
}
ostream &operator<<(ostream &os, i128 x) {
os << (i64)x;
return os;
}
istream &operator>>(istream &is, u128 &x) {
u64 v;
is >> v;
x = v;
return is;
}
ostream &operator<<(ostream &os, u128 x) {
os << (u64)x;
return os;
}
#endif
[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
SetUpIO() {
#ifdef FAST_IO
ios::sync_with_stdio(false);
cin.tie(nullptr);
#endif
cout << fixed << setprecision(15);
}
} set_up_io;
// ============
#ifdef DEBUGF
#else
#define DBG(x) (void) 0
#endif
i64 mul(i64 x, i64 y) {
if (x > INF64 / y) {
return INF64;
}
return x * y;
}
int main() {
i32 n;
i64 k;
cin >> n >> k;
--k;
Vec<Vec<i64>> binom(n + 1, Vec<i64>(n + 1, 0));
binom[0][0] = 1;
REP(i, n) REP(j, i + 1) {
binom[i + 1][j] += binom[i][j];
binom[i + 1][j + 1] += binom[i][j];
}
Vec<Vec<Vec<i64>>> dp(2, Vec<Vec<i64>>(n + 1, Vec<i64>(n, 0)));
dp[0][1][0] = 1;
dp[1][1][0] = 1;
REP(i, 2, n + 1) {
REP(j, n) {
REP(k, j + 1, i) {
dp[0][i][j] += dp[1][i - 1][k - 1];
chmin(dp[0][i][j], INF64);
}
REP(k, j) {
dp[1][i][j] += dp[0][i - 1][k];
chmin(dp[1][i][j], INF64);
}
}
}
DBG(dp);
Vec<i64> cnt(n + 1, 0);
cnt[1] = 1;
REP(i, 2, n + 1) {
REP(j, i) {
cnt[i] += dp[0][i][j];
chmin(cnt[i], INF64);
cnt[i] += dp[1][i][j];
chmin(cnt[i], INF64);
}
}
DBG(cnt);
auto calc = [&](const Vec<i32> &p) -> i64 {
Vec<i32> lens;
REP(i, n) {
if (p[i] == -1 && (i == 0 || p[i - 1] != -1)) {
i32 j = i;
while (j < n && p[j] == -1) {
++j;
}
lens.push_back(j - i);
}
}
REP(i, lens.size()) {
if (i != 0 && i != (i32)lens.size() - 1 && lens[i] % 2 == 0) {
return 0;
}
}
i64 ans = 1;
for (i32 l : lens) {
if (l >= 2) {
ans = mul(ans, cnt[l] / 2);
}
}
i32 c = 0;
for (i32 l : lens) {
ans = mul(ans, binom[c + l][l]);
c += l;
}
return ans;
};
if (k >= cnt[n]) {
cout << -1 << '\n';
exit(0);
}
Vec<i32> p(n, -1);
Vec<i32> ans;
REP(i, n) {
REP(j, n) {
if (p[j] != -1) {
continue;
}
p[j] = i;
i64 c = calc(p);
if (c > k) {
ans.push_back(j);
break;
} else {
k -= c;
p[j] = -1;
}
}
}
REP(i, n) {
cout << ans[i] + 1 << " \n"[i + 1 == n];
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3448kb
input:
3 2
output:
2 1 3
result:
ok 3 number(s): "2 1 3"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3448kb
input:
3 5
output:
-1
result:
ok 1 number(s): "-1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3472kb
input:
4 6
output:
3 1 2 4
result:
ok 4 number(s): "3 1 2 4"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3512kb
input:
4 11
output:
-1
result:
ok 1 number(s): "-1"
Test #5:
score: -100
Wrong Answer
time: 0ms
memory: 3448kb
input:
3 1
output:
1 2 3
result:
wrong answer 2nd numbers differ - expected: '3', found: '2'