QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#621033 | #7778. Turning Permutation | crychic | WA | 1ms | 3768kb | C++20 | 3.3kb | 2024-10-08 00:31:23 | 2024-10-08 00:31:23 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 55;
int n;
ll dp[N][N];
vector<int> pre_val;
int pos[N];
int limit[N];
ll work(int ward){
// dp[i][j] [0/1] 前i个数放入排列中 其中第i个数放在第j个位置
// ward == 0 偶数大 wark == 1 奇数大
// 会有一些数字已经放好 这些数字一定放在前面且它们之间的相对位置确定
// 对于这些数字可以直接处理出来它们需要放在哪个位置
int sz = pre_val.size();
memset(limit,0,sizeof(limit));
for(int i = 0;i < pre_val.size();i++){
int pos_1 = 1;
for(int j = 0;j < i;j ++){
if(pre_val[j] < pre_val[i]) pos_1 ++;
}
limit[pre_val[i]] = pos_1;
}
memset(dp,0,sizeof(dp));
dp[1][1] = 1;
// cerr << "! ";
// for(int i = 0;i < pre_val.size();i ++){
// cerr << pre_val[i] << ' ';
// }
// cerr << '\n';
int tot = 1;
if(limit[1])tot ++;
for(int i = 2;i <= n ;i ++){
int t_ward = ((i & 1) ^ ward) & 1;// 1 表示上一次更大 0表示上一次更小
if(limit[i]){
int pos = limit[i];
for(int j = 1;j <= i;j ++){
dp[i][pos] += dp[i - 1][j];
}
tot ++;
}else {
for(int j = 1;j <= i;j ++){
for(int k = tot;k <= i;k ++){
// if(pos[k])continue;
if(t_ward){
if(k <= j){
dp[i][k] += dp[i - 1][j];
}
}else {
if(k > j){
dp[i][k] += dp[i - 1][j];
}
}
}
}
}
// for(int j = 1;j <= n;j ++){
// cerr << i << ' ' << j << ' ' << dp[i][j] << '\n';
// }
}
ll res = 0;
for(int i = 1;i <= n;i ++){
res += dp[n][i];
}
// cerr << "?" << res << '\n';
return res;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// 1 > 2 < 3 > 4 < 5 > 6 < 7 > 8 < 9 > 10
// 1 < 2 > 3 < 4 > 5 < 6 > 7 < 8 > 9 < 10
ll k;
cin >> n >> k;
int ward = 0;
bool er = 1;
for(int i = 1;i <= n;i ++){
for(int j = 1;j <= n;j ++){
if(i == 1){
ward = j & 1;
ward ^= 1;
}
int t_ward = (j ^ ward) & 1;// 0 比两边大 1 比两边小
if(pos[j]) continue;
if(t_ward){
if((j + 1 <= n && pos[j + 1]) || (j - 1 >= 1 && pos[j - 1]))continue;
}else {
if((j + 1 <= n && !pos[j + 1]) || (j - 1 >= 1 && !pos[j - 1]))continue;
}
pre_val.push_back(j);
pos[j] = i;
ll p = work(ward);
if(p < k){
k -= p;
pre_val.pop_back();
pos[j] = 0;
}else {
er = 0;
break;
}
}
if(i == 1){
if(er)break;
}
}
if(er){
cout << "-1\n";
return 0;
}
assert(pre_val.size() == n);
for(auto x : pre_val){
cout << x << " ";
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3712kb
input:
3 2
output:
2 1 3
result:
ok 3 number(s): "2 1 3"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
3 5
output:
-1
result:
ok 1 number(s): "-1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3764kb
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: 3752kb
input:
4 11
output:
-1
result:
ok 1 number(s): "-1"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
3 1
output:
1 3 2
result:
ok 3 number(s): "1 3 2"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
3 10
output:
-1
result:
ok 1 number(s): "-1"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
3 52
output:
-1
result:
ok 1 number(s): "-1"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
3 756
output:
-1
result:
ok 1 number(s): "-1"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
3 7721
output:
-1
result:
ok 1 number(s): "-1"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3696kb
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: 3644kb
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: 3756kb
input:
5 85
output:
-1
result:
ok 1 number(s): "-1"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
5 846
output:
-1
result:
ok 1 number(s): "-1"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3688kb
input:
5 6957
output:
-1
result:
ok 1 number(s): "-1"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
8 1
output:
1 3 2 5 4 7 6 8
result:
ok 8 numbers
Test #16:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
8 7
output:
1 3 2 5 7 8 4 6
result:
ok 8 numbers
Test #17:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
8 71
output:
1 3 7 5 4 2 6 8
result:
ok 8 numbers
Test #18:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
8 863
output:
3 5 7 1 4 2 8 6
result:
ok 8 numbers
Test #19:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
8 7099
output:
-1
result:
ok 1 number(s): "-1"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3636kb
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: 3636kb
input:
10 62278
output:
7 1 9 8 5 10 3 6 2 4
result:
ok 10 numbers
Test #22:
score: 0
Accepted
time: 1ms
memory: 3640kb
input:
10 1000000
output:
-1
result:
ok 1 number(s): "-1"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
10 572106
output:
-1
result:
ok 1 number(s): "-1"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
10 10000000
output:
-1
result:
ok 1 number(s): "-1"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
10 9715489
output:
-1
result:
ok 1 number(s): "-1"
Test #26:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
10 100000000
output:
-1
result:
ok 1 number(s): "-1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
10 85089137
output:
-1
result:
ok 1 number(s): "-1"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
10 1000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
10 906109922
output:
-1
result:
ok 1 number(s): "-1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3708kb
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: 3712kb
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: 3640kb
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: 3696kb
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: 3712kb
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: 3692kb
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: 3696kb
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: 3696kb
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: 0ms
memory: 3696kb
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: 3632kb
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: 3768kb
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: 1ms
memory: 3696kb
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: 3712kb
input:
20 1000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #43:
score: 0
Accepted
time: 0ms
memory: 3688kb
input:
20 825683798851116
output:
-1
result:
ok 1 number(s): "-1"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
20 10000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
20 7757196171989613
output:
-1
result:
ok 1 number(s): "-1"
Test #46:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
20 100000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #47:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
20 97697763625539018
output:
-1
result:
ok 1 number(s): "-1"
Test #48:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
20 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #49:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
20 828662389005083354
output:
-1
result:
ok 1 number(s): "-1"
Test #50:
score: 0
Accepted
time: 1ms
memory: 3756kb
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: 3700kb
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: 1ms
memory: 3624kb
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: 1ms
memory: 3716kb
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: 3688kb
input:
21 10000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #55:
score: 0
Accepted
time: 1ms
memory: 3632kb
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: 3692kb
input:
21 100000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #57:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
21 78209209037176977
output:
-1
result:
ok 1 number(s): "-1"
Test #58:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
21 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #59:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
21 924750540534119586
output:
-1
result:
ok 1 number(s): "-1"
Test #60:
score: 0
Accepted
time: 1ms
memory: 3712kb
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: 1ms
memory: 3668kb
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: 3636kb
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: 3696kb
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: 1ms
memory: 3632kb
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: 1ms
memory: 3636kb
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: 1ms
memory: 3664kb
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: 1ms
memory: 3628kb
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: 3688kb
input:
22 1000000000000000000
output:
-1
result:
ok 1 number(s): "-1"
Test #69:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
22 797466650913412732
output:
-1
result:
ok 1 number(s): "-1"
Test #70:
score: 0
Accepted
time: 0ms
memory: 3692kb
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: 1ms
memory: 3640kb
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: 1ms
memory: 3700kb
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: 3752kb
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: 1ms
memory: 3768kb
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: 1ms
memory: 3688kb
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: 1ms
memory: 3752kb
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: 1ms
memory: 3704kb
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: 1ms
memory: 3636kb
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: 1ms
memory: 3696kb
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: 1ms
memory: 3644kb
input:
30 100000000000000
output:
1 7 3 2 5 4 6 9 8 11 10 13 12 15 14 17 16 19 18 21 20 23 22 25 24 27 26 29 28 30
result:
wrong answer 2nd numbers differ - expected: '3', found: '7'