CSES - Datatähti 2021 loppu - Results
 Task: Kolmijako Sender: jubidubi Submission time: 2021-01-23 16:24:31 +0200 Language: C++11 Status: READY Result: 22
Feedback
groupverdictscore
#1ACCEPTED22
#20
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 2details
#2ACCEPTED0.01 s1, 2details
#3ACCEPTED0.01 s1, 2details
#4ACCEPTED0.01 s1, 2details
#5ACCEPTED0.01 s1, 2details
#6ACCEPTED0.01 s1, 2details
#7ACCEPTED0.01 s1, 2details
#8ACCEPTED0.01 s1, 2details
#9--2details
#10--2details
#11--2details
#12ACCEPTED0.01 s2details
#13--2details
#14--2details
#15ACCEPTED0.01 s2details

### Code

```#include <bits/stdc++.h>
using namespace std;
using ll = long long;

const int N = 101;
int sum[3];
int t[N];
int n;
int s;

void solve(int x) {
if (x > n) {
if (sum[0] == sum[1] - 1 && sum[1] == sum[2] - 1) {
for (int i = 1; i <= n; ++i) cout << t[i]+1 << " ";
cout << '\n';
exit(0);
}
} else {
for (int i = 0; i < 3; ++i) {
sum[i] += x;
t[x] = i;
solve(x+1);
sum[i] -= x;
}
}
}

int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);

cin >> n;

for (int i = 1; i <= n; ++i) s += i;

if (s % 3 != 0) {
cout << "IMPOSSIBLE\n";
return 0;
}
solve(1);
cout << "IMPOSSIBLE\n";
}
```

### Test details

#### Test 1

Group: 1, 2

Verdict: ACCEPTED

input
3

correct output
1 2 3

user output
1 2 3

#### Test 2

Group: 1, 2

Verdict: ACCEPTED

input
4

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

#### Test 3

Group: 1, 2

Verdict: ACCEPTED

input
5

correct output
1 3 1 3 2

user output
1 3 1 3 2

#### Test 4

Group: 1, 2

Verdict: ACCEPTED

input
6

correct output
1 3 2 2 1 3

user output
1 3 2 2 1 3

#### Test 5

Group: 1, 2

Verdict: ACCEPTED

input
7

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

#### Test 6

Group: 1, 2

Verdict: ACCEPTED

input
8

correct output
2 3 1 2 3 3 2 1

user output
1 1 1 2 1 3 3 2

#### Test 7

Group: 1, 2

Verdict: ACCEPTED

input
9

correct output
1 2 3 1 2 3 3 2 1

user output
1 1 1 2 2 2 3 1 3

#### Test 8

Group: 1, 2

Verdict: ACCEPTED

input
10

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

#### Test 9

Group: 2

Verdict:

input
42

correct output
1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...

user output
(empty)

#### Test 10

Group: 2

Verdict:

input
95

correct output
1 3 1 3 2 1 2 3 3 2 1 1 2 3 3 ...

user output
(empty)

#### Test 11

Group: 2

Verdict:

input
96

correct output
1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...

user output
(empty)

#### Test 12

Group: 2

Verdict: ACCEPTED

input
97

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

#### Test 13

Group: 2

Verdict:

input
98

correct output
2 3 1 2 3 3 2 1 1 2 3 3 2 1 1 ...

user output
(empty)

#### Test 14

Group: 2

Verdict:

input
99

correct output
1 2 3 1 2 3 3 2 1 1 2 3 3 2 1 ...

user output
(empty)

#### Test 15

Group: 2

Verdict: ACCEPTED

input
100

correct output
IMPOSSIBLE

user output
IMPOSSIBLE