CSES - Datatähti 2021 loppu - Results
Submission details
Task:Kolmijako
Sender:jubidubi
Submission time:2021-01-23 16:24:31 +0200
Language:C++ (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