QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#621045 | #7778. Turning Permutation | cpismylifeOwO | WA | 1ms | 3724kb | C++20 | 4.7kb | 2024-10-08 01:06:59 | 2024-10-08 01:07:00 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const long long mod = 1e9 + 7;
const int MaxN = 5e1 + 5;
int n;
long long k;
void Inp()
{
cin >> n >> k;
}
bool isup[MaxN];
bool mark[MaxN];
int res[MaxN];
long long C[MaxN][MaxN];
long long F[2][MaxN];
long long Calc(int cur)
{
long long res = 1;
for (int x = 1; x <= n; x++)
{
if (mark[x])
{
continue;
}
int y = x;
while (y <= n && !mark[y])
{
y++;
}
if (F[isup[x]][y - x] > 1e18 || C[y - x][cur] > 1e18 || 1e18 / F[isup[x]][y - x] < C[y - x][cur])
{
return 1e18 + 1;
}
if (res > 1e18 || 1e18 / res < (F[isup[x]][y - x] * C[y - x][cur]))
{
return 1e18 + 1;
}
res *= F[isup[x]][y - x] * C[y - x][cur];
cur -= y - x;
x = y - 1;
}
return res;
}
bool Check(int x)
{
if (isup[x])
{
return (!mark[x] && mark[x - 1] && mark[x + 1]);
}
return !mark[x];
}
void Exc()
{
C[0][0] = 1;
for (int x = 1; x <= n; x++)
{
C[0][x] = C[0][x - 1];
for (int y = 1; y <= n; y++)
{
C[y][x] = min(C[y - 1][x - 1] + C[y][x - 1], (long long)1e18 + 1);
//cout << C[y][x] << " ";
}
//cout << "\n";
}
F[0][0] = 1;
F[1][0] = 1;
F[0][1] = 1;
F[1][1] = 1;
for (int x = 2; x <= n; x++)
{
F[0][x] = F[1][x - 1];
for (int y = 3; y < x; y += 2)
{
if (F[0][x] > 1e18 || F[0][y - 1] > 1e18 || F[1][x - y] > 1e18 || 1e18 / F[0][y - 1] < F[1][x - y])
{
F[0][x] = 1e18 + 1;
continue;
}
long long cur = F[0][y - 1] * F[1][x - y];
if (C[y - 1][x - 1] <= 1e18 && (cur != 0 || 1e18 / cur >= C[y - 1][x - 1]))
{
F[0][x] += cur * C[y - 1][x - 1];
}
else
{
F[0][x] = 1e18 + 1;
}
//cout << cur << " ";
if (F[0][x] > 1e18)
{
F[0][x] = 1e18 + 1;
}
}
if (x & 1)
{
F[0][x] += F[0][x - 1];
}
F[0][x] = min(F[0][x], (long long)1e18 + 1);
for (int y = 2; y < x; y += 2)
{
if (F[1][x] > 1e18 || F[1][y - 1] > 1e18 || F[1][x - y] > 1e18 || 1e18 / F[1][y - 1] < F[1][x - y])
{
F[1][x] = 1e18 + 1;
continue;
}
long long cur = F[1][y - 1] * F[1][x - y];
if (C[y - 1][x - 1] <= 1e18 && (cur != 0 || 1e18 / cur >= C[y - 1][x - 1]))
{
F[1][x] += cur * C[y - 1][x - 1];
}
else
{
F[1][x] = 1e18 + 1;
}
if (F[1][x] > 1e18)
{
F[1][x] = 1e18 + 1;
}
}
if (x % 2 == 0)
{
F[1][x] += F[1][x - 1];
}
F[1][x] = min(F[1][x], (long long)1e18 + 1);
//cout << F[0][x] << " " << F[1][x] << "\n";
}
if (F[0][n] + F[1][n] < k)
{
cout << -1;
return;
}
bool flip = false;
for (int x = 1; x <= n; x++)
{
long long cur1 = F[(x & 1) ^ 1][x - 1], cur2 = F[1][n - x], cur3 = C[x - 1][n - 1];
//cout << x << " " << cur1 << " " << cur2 << " " << cur3 << "\n";
if (cur1 > 1e18 || cur2 > 1e18 || cur3 > 1e18 || 1e18 / cur1 < cur2 || 1e18 / (cur1 * cur2) < cur3 || k <= cur1 * cur2 * cur3)
{
res[1] = x;
mark[x] = true;
flip = (x & 1) ^ 1;
break;
}
k -= cur1 * cur2 * cur3;
}
mark[0] = mark[n + 1] = true;
for (int x = 1; x <= n; x++)
{
isup[x] = (x & 1) ^ flip ^ 1;
}
for (int x = 2; x <= n; x++)
{
for (int y = 1; y <= n; y++)
{
if (!Check(y))
{
continue;
}
mark[y] = true;
long long cur = Calc(n - x);
if (cur >= k)
{
res[x] = y;
break;
}
mark[y] = false;
k -= cur;
}
}
for (int x = 1; x <= n; x++)
{
cout << res[x] << " ";
}
}
int main()
{
//freopen("B.INP", "r", stdin);
//freopen("B.OUT", "w", stdout);
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int test = 1;
//cin >> test;
for (int x = 1; x <= test; x++)
{
Inp();
Exc();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3704kb
input:
3 2
output:
2 1 3
result:
ok 3 number(s): "2 1 3"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
3 5
output:
-1
result:
ok 1 number(s): "-1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3572kb
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: 3580kb
input:
4 11
output:
-1
result:
ok 1 number(s): "-1"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
3 1
output:
1 3 2
result:
ok 3 number(s): "1 3 2"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
3 10
output:
-1
result:
ok 1 number(s): "-1"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
3 52
output:
-1
result:
ok 1 number(s): "-1"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
3 756
output:
-1
result:
ok 1 number(s): "-1"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
3 7721
output:
-1
result:
ok 1 number(s): "-1"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
5 1
output:
1 3 2 5 4
result:
ok 5 number(s): "1 3 2 5 4"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
5 8
output:
2 4 1 3 5
result:
ok 5 number(s): "2 4 1 3 5"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
5 85
output:
-1
result:
ok 1 number(s): "-1"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
5 846
output:
-1
result:
ok 1 number(s): "-1"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
5 6957
output:
-1
result:
ok 1 number(s): "-1"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
8 1
output:
1 3 2 5 4 7 6 8
result:
ok 8 numbers
Test #16:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
8 7
output:
1 3 2 5 7 8 4 6
result:
ok 8 numbers
Test #17:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
8 71
output:
1 3 7 5 4 2 6 8
result:
ok 8 numbers
Test #18:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
8 863
output:
3 5 7 1 4 2 8 6
result:
ok 8 numbers
Test #19:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
8 7099
output:
-1
result:
ok 1 number(s): "-1"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3632kb
input:
10 100000
output:
10 8 4 6 9 2 7 3 5 1
result:
ok 10 numbers
Test #21:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
10 62278
output:
7 1 9 8 5 10 3 6 2 4
result:
ok 10 numbers
Test #22:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
10 1000000
output:
-1
result:
ok 1 number(s): "-1"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
10 572106
output:
-1
result:
ok 1 number(s): "-1"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
10 10000000
output:
-1
result:
ok 1 number(s): "-1"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
10 9715489
output:
-1
result:
ok 1 number(s): "-1"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
10 100000000
output:
-1
result:
ok 1 number(s): "-1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
10 85089137
output:
-1
result:
ok 1 number(s): "-1"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
10 1000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
10 906109922
output:
-1
result:
ok 1 number(s): "-1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
15 100000
output:
1 3 2 5 7 9 13 15 11 6 4 14 10 8 12
result:
ok 15 numbers
Test #31:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
15 99389
output:
1 3 2 5 7 9 13 15 6 4 11 8 10 14 12
result:
ok 15 numbers
Test #32:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
15 1000000
output:
1 3 2 7 15 13 5 11 6 9 8 14 4 10 12
result:
ok 15 numbers
Test #33:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
15 691130
output:
1 3 2 7 9 5 11 4 13 6 15 12 10 8 14
result:
ok 15 numbers
Test #34:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
15 10000000
output:
1 3 7 5 4 9 13 11 6 15 10 12 14 2 8
result:
ok 15 numbers
Test #35:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
15 8403898
output:
1 3 5 13 15 9 7 6 11 12 10 8 14 2 4
result:
ok 15 numbers
Test #36:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
15 100000000
output:
1 9 5 7 13 11 12 3 15 10 14 2 6 4 8
result:
ok 15 numbers
Test #37:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
15 80159790
output:
1 7 9 15 11 5 13 3 4 8 12 10 14 2 6
result:
ok 15 numbers
Test #38:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
15 1000000000
output:
4 14 10 6 15 8 2 5 12 3 11 7 13 9 1
result:
ok 15 numbers
Test #39:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
15 941321083
output:
4 12 2 14 10 8 9 1 3 6 7 13 11 5 15
result:
ok 15 numbers
Test #40:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
20 100000000000000
output:
3 15 9 13 1 19 7 5 14 11 6 20 8 12 10 17 16 2 4 18
result:
ok 20 numbers
Test #41:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
20 88340160907341
output:
3 9 7 15 5 17 19 16 13 11 14 12 1 18 8 20 6 10 4 2
result:
ok 20 numbers
Test #42:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
20 1000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
20 825683798851116
output:
-1
result:
ok 1 number(s): "-1"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
20 10000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
20 7757196171989613
output:
-1
result:
ok 1 number(s): "-1"
Test #46:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
20 100000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #47:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
20 97697763625539018
output:
-1
result:
ok 1 number(s): "-1"
Test #48:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
20 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #49:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
20 828662389005083354
output:
-1
result:
ok 1 number(s): "-1"
Test #50:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
21 100000000000000
output:
1 7 11 13 17 9 3 21 15 19 18 12 16 5 8 4 20 14 2 6 10
result:
ok 21 numbers
Test #51:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
21 84706086886746
output:
1 7 3 9 13 17 5 15 19 8 6 11 4 21 12 2 20 18 14 10 16
result:
ok 21 numbers
Test #52:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
21 1000000000000000
output:
3 5 1 11 2 13 9 17 21 15 12 7 4 14 10 19 18 6 20 16 8
result:
ok 21 numbers
Test #53:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
21 554929680010592
output:
2 8 10 18 16 4 6 5 14 9 12 7 20 15 11 1 13 21 3 17 19
result:
ok 21 numbers
Test #54:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
21 10000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #55:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
21 6191328159326492
output:
14 4 2 10 1 6 5 20 12 8 9 7 16 18 21 15 11 13 3 19 17
result:
ok 21 numbers
Test #56:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
21 100000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #57:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
21 78209209037176977
output:
-1
result:
ok 1 number(s): "-1"
Test #58:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
21 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #59:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
21 924750540534119586
output:
-1
result:
ok 1 number(s): "-1"
Test #60:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
22 100000000000000
output:
1 3 5 21 19 15 22 2 11 9 10 7 6 4 20 17 18 16 13 14 12 8
result:
ok 22 numbers
Test #61:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
22 81076307833447
output:
1 3 5 17 15 9 13 11 14 7 19 12 8 18 4 2 21 20 22 16 6 10
result:
ok 22 numbers
Test #62:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
22 1000000000000000
output:
1 5 19 21 17 13 11 20 7 12 3 15 22 9 16 18 6 2 10 8 14 4
result:
ok 22 numbers
Test #63:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
22 784179856137365
output:
1 5 11 13 12 7 19 21 3 9 17 18 15 22 14 6 8 2 20 10 4 16
result:
ok 22 numbers
Test #64:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
22 10000000000000000
output:
2 16 4 6 5 20 18 10 8 22 12 14 11 17 1 13 19 9 7 3 15 21
result:
ok 22 numbers
Test #65:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
22 9625464441630667
output:
2 14 12 16 18 10 11 20 22 4 19 6 8 7 17 9 21 15 3 5 13 1
result:
ok 22 numbers
Test #66:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
22 100000000000000000
output:
16 20 8 2 6 4 18 12 14 13 5 17 3 10 9 15 7 22 11 21 1 19
result:
ok 22 numbers
Test #67:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
22 58720645858880344
output:
10 8 2 6 7 4 16 18 9 12 14 17 11 20 22 3 19 5 21 1 13 15
result:
ok 22 numbers
Test #68:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
22 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #69:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
22 797466650913412732
output:
-1
result:
ok 1 number(s): "-1"
Test #70:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
23 100000000000000
output:
1 3 2 9 13 15 19 11 5 23 17 21 20 14 18 7 10 6 22 16 4 8 12
result:
ok 23 numbers
Test #71:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
23 77446528780149
output:
1 3 2 7 21 9 23 5 19 20 8 17 11 15 6 18 22 13 14 10 4 16 12
result:
ok 23 numbers
Test #72:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
23 1000000000000000
output:
1 3 5 17 15 16 21 23 4 9 13 7 2 14 19 11 8 10 6 18 12 20 22
result:
ok 23 numbers
Test #73:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
23 513430032264138
output:
1 3 5 7 13 17 9 8 11 23 10 6 4 21 15 14 19 16 18 12 20 2 22
result:
ok 23 numbers
Test #74:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
23 10000000000000000
output:
1 5 9 21 19 3 23 11 2 15 22 20 4 13 17 7 14 6 10 12 18 8 16
result:
ok 23 numbers
Test #75:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
23 8059600723934841
output:
1 5 3 9 21 7 17 11 4 19 6 23 8 20 13 15 18 2 10 12 16 22 14
result:
ok 23 numbers
Test #76:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
23 100000000000000000
output:
2 8 10 14 12 6 18 4 13 11 20 19 3 1 22 7 23 21 16 9 17 5 15
result:
ok 23 numbers
Test #77:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
23 62604119535359335
output:
1 21 17 5 11 3 4 19 23 7 20 9 13 15 8 18 22 14 6 2 10 16 12
result:
ok 23 numbers
Test #78:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
23 1000000000000000000
output:
12 8 6 22 4 20 2 14 13 16 1 7 18 10 9 11 17 3 15 23 21 19 5
result:
ok 23 numbers
Test #79:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
23 670182765587673173
output:
8 14 18 12 10 22 16 15 4 9 11 20 2 6 7 19 17 21 5 23 3 1 13
result:
ok 23 numbers
Test #80:
score: -100
Wrong Answer
time: 0ms
memory: 3644kb
input:
30 100000000000000
output:
-1
result:
wrong answer 1st numbers differ - expected: '1', found: '-1'